Metrics for Given's Rotation SVD example, simplified

analyze1.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 14 to 10 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

ival-mult: 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)

compiled-spec: 0.0ms (0% of total)

sample8.0s (46.9%)

Results

5.7s	8080×	5	exit
899.0ms	8256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 6.6s

compiled-spec: 1.3s (19.4% of total)

ival-sqrt: 1.3s (19.1% of total)

ival-mult: 1.1s (16.9% of total)

backward-pass: 927.0ms (14.1% of total)

ival-div: 696.0ms (10.6% of total)

ival-sub: 651.0ms (9.9% of total)

ival-add: 584.0ms (8.9% of total)

const: 73.0ms (1.1% of total)

Bogosity

preprocess25.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

128×	`fnmsub-define`
128×	`fmsub-define`
128×	`fnmadd-define`
86×	`fma-define`
80×	`sum3-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	35
1	51	30
2	91	30
3	153	30
4	261	30
5	405	30
6	512	30
7	558	30
8	570	30
0	12	11
1	28	10
2	36	10
3	44	10
4	52	10
5	65	10
6	82	10
7	96	10
8	108	10
9	109	10
0	109	10

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))

Outputs

(- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))))

(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))

Call 2

Inputs
(- 1 (sqrt (* 1/2 (+ 1 (/ 1 (hypot 1 x))))))
(- 1 (sqrt (* 1/2 (+ 1 (/ 1 (hypot 1 (neg x)))))))
(neg (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (hypot 1 (neg x))))))))

Outputs
(- 1 (sqrt (* 1/2 (+ 1 (/ 1 (hypot 1 x))))))
(- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))
(- 1 (sqrt (* 1/2 (+ 1 (/ 1 (hypot 1 (neg x)))))))
(- 1 (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))))
(neg (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (hypot 1 (neg x))))))))
(+ (sqrt (+ 1/2 (/ 1/2 (hypot 1 x)))) -1)

Symmetry

(abs x)

explain106.0ms (0.6%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
0	-	-	`x`
0	-	-	`#s(literal 1/2 binary64)`
0	-	-	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
0	-	-	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
0	-	-	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
0	-	-	`(hypot.f64 #s(literal 1 binary64) x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`

Results

63.0ms

512×

valid

Compiler

Compiled 115 to 29 computations (74.8% saved)

Precisions

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

compiled-spec: 21.0ms (36.3% of total)

ival-mult: 15.0ms (25.9% of total)

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

ival-add: 6.0ms (10.4% of total)

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

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

const: 1.0ms (1.7% of total)

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

eval0.0ms (0%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
✓	cost-diff	(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
✓	cost-diff	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
✓	cost-diff	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))

Rules

32×	`sum3-define`
32×	`+-lowering-+.f64`
32×	`+-lowering-+.f32`
18×	`--lowering--.f32`
18×	`--lowering--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	18	36
2	23	36
3	29	36
4	37	36
5	50	36
6	67	36
7	81	36
8	93	36
9	94	36
0	94	36

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))))
1
(sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))
(+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))
1/2
(/ 1/2 (sqrt (+ (* 1 1) (* x x))))
(sqrt (+ (* 1 1) (* x x)))
x

Outputs
(- 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
1
#s(literal 1 binary64)
(sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
1/2
#s(literal 1/2 binary64)
(/ 1/2 (sqrt (+ (* 1 1) (* x x))))
(/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
(sqrt (+ (* 1 1) (* x x)))
(hypot.f64 #s(literal 1 binary64) x)
x

localize39.0ms (0.2%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
✓	accuracy	98.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))

Results

26.0ms

256×

valid

Compiler

Compiled 38 to 9 computations (76.3% saved)

Precisions

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

compiled-spec: 8.0ms (36% of total)

ival-mult: 4.0ms (18% of total)

ival-sqrt: 4.0ms (18% of total)

ival-div: 2.0ms (9% of total)

ival-add: 2.0ms (9% of total)

ival-sub: 1.0ms (4.5% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0%)

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (- 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))))>
#<alt (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))>
#<alt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))>
#<alt (/ 1/2 (sqrt (+ (* 1 1) (* x x))))>

Outputs
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))>
#<alt (- 1 (sqrt 1/2))>
#<alt (- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))>
#<alt (- (+ 1 (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))>
#<alt (- (+ 1 (+ (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))>
#<alt (- 1 (sqrt 1/2))>
#<alt (- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2))>
#<alt (- (+ 1 (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2))))) (sqrt 1/2))>
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) (sqrt 1/2))>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))>
#<alt (- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))>
#<alt (- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))>
#<alt (sqrt 1/2)>
#<alt (- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ 1 x)))>
#<alt (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))>
#<alt (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))>
#<alt 1/2>
#<alt (- 1/2 (* 1/2 (/ 1 x)))>
#<alt (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))>
#<alt (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))>
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))>
#<alt (/ 1/2 x)>
#<alt (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x)>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x))>

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(- 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))))
1.0ms	x	@	0	(- 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))))
0.0ms	x	@	inf	(sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))
0.0ms	x	@	-inf	(- 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))))
0.0ms	x	@	inf	(+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))

rewrite279.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3008×	`-lowering-.f32`
3008×	`-lowering-.f64`
2846×	`/-lowering-/.f32`
2846×	`/-lowering-/.f64`
1192×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	66	30
2	534	30
3	6508	30
0	8005	30

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 198

Calls

Call 1

Inputs
(- 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))))
(sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))
(+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))
(/ 1/2 (sqrt (+ (* 1 1) (* x x))))

Outputs
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
(neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64)))
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(/.f64 (.f64 (+.f64 #s(literal 1/512 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 3/2 binary64)) (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1/4 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (+.f64 #s(literal 1/64 binary64) (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1/64 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1/4 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 3/2 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1/16 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))))))
(/.f64 (.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/4 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(.f64 (+.f64 #s(literal -1/8 binary64) (neg.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/4 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/4 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
(.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1/4 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 3/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))))
(.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))))
(.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)) (.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(.f64 (pow.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 3/2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/4 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1/4 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(.f64 (.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 3/2 binary64))) (+.f64 #s(literal 1/64 binary64) (pow.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1/4 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) (+.f64 #s(literal 1/16 binary64) (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1/4 binary64) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1/4 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 3/2 binary64))) (-.f64 #s(literal 1/16 binary64) (pow.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1/4 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (+.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1/4 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 3/2 binary64)))) (+.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1/4 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(.f64 #s(literal -1/2 binary64) (.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -1 binary64))))))
(.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))

simplify266.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

2628×	`-lowering-.f32`
2628×	`-lowering-.f64`
1676×	`+-lowering-+.f64`
1676×	`+-lowering-+.f32`
1572×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	169	619
1	503	567
2	1466	551
3	4232	548
0	8068	548

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
(- 1 (sqrt 1/2))
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(- (+ 1 (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))
(- (+ 1 (+ (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))
(- 1 (sqrt 1/2))
(- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2))
(- (+ 1 (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2))))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) (sqrt 1/2))
1
(+ 1 (* -1/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))
(- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))
(sqrt 1/2)
(- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
1/2
(+ 1/2 (* 1/2 (/ 1 x)))
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))
1/2
(- 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
1/2
(+ 1/2 (* -1/4 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(/ 1/2 x)
(/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x)
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x))

Outputs
(* 1/8 (pow x 2))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -11/128 binary64))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) #s(literal 69/1024 binary64))))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 69/1024 binary64) (.f64 (.f64 x x) #s(literal -1843/32768 binary64))))))))
(- 1 (sqrt 1/2))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(- (+ 1 (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x)) (-.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))))
(- (+ 1 (+ (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/128 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x x)) (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x)) (-.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))))))
(- 1 (sqrt 1/2))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2))
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(- (+ 1 (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2))))) (sqrt 1/2))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x)) (sqrt.f64 #s(literal 1/2 binary64)))))
(- (+ 1 (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) (sqrt 1/2))
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/128 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64))))))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))
(+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x))))
(- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))
(+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x)))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/128 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) (.f64 x (.f64 x (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x)) x))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/128 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/4 binary64)))
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal 3/16 binary64)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/16 binary64) (.f64 (.f64 x x) #s(literal -5/32 binary64))))))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x)) (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 5 binary64))))
1/2
#s(literal 1/2 binary64)
(- 1/2 (* 1/2 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 3/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (.f64 x x)))) x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/4 binary64)))
(+ 1/2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal 3/16 binary64)))))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/16 binary64) (.f64 (.f64 x x) #s(literal -5/32 binary64))))))))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x)
(/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (.f64 x x)))) x)
(/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 #s(literal -5/32 binary64) (pow.f64 x #s(literal 6 binary64))))) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x)
(* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 3/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (.f64 x x)))) x)
(* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x))
(/.f64 (-.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 #s(literal -5/32 binary64) (pow.f64 x #s(literal 6 binary64))))) x)

eval35.0ms (0.2%)

Compiler: Compiled 6641 to 962 computations (85.5% saved)

prune45.0ms (0.3%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	227	19	246
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	227	20	247

Accuracy

100.0%

Counts

247 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
	98.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
▶	99.9%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
	99.9%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
	98.4%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
	3.8%	(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
▶	1.1%	(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64)))))))
	4.5%	(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
	96.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))))
	96.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (.f64 x x)))) x))))
✓	98.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
	96.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
▶	95.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
▶	3.1%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
▶	96.2%	(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
	99.9%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
	1.2%	(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 69/1024 binary64) (.f64 (.f64 x x) #s(literal -1843/32768 binary64))))))))
	3.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) #s(literal 69/1024 binary64))))))
	1.1%	(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -11/128 binary64))))
	4.5%	(.f64 #s(literal 1/8 binary64) (.f64 x x))

Compiler

Compiled 879 to 400 computations (54.5% saved)

simplify166.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
✓	cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
✓	cost-diff	0	(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
✓	cost-diff	0	(sqrt.f64 #s(literal 1/2 binary64))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal 11/128 binary64))))
✓	cost-diff	0	(.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64)))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64))))))
✓	cost-diff	256	(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64)))))))
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(hypot.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Rules

1830×	`fmsub-define`
1788×	`sum4-define`
1676×	`fmm-def`
1382×	`+-lowering-+.f64`
1382×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	173
1	62	166
2	143	166
3	394	165
4	1101	165
5	3851	165
6	7495	165
0	8157	165

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))))
(+ 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))
1/2
(/ -1/2 (sqrt (+ (* 1 1) (* x x))))
-1/2
(sqrt (+ (* 1 1) (* x x)))
1
x
(+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))))
(sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))
(+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))
(/ 1/2 (sqrt (+ (* 1 1) (* x x))))
(- 1 1)
1
(- 1 (+ 1 (* x (* x (+ -1/8 (* (* x x) 11/128))))))
1
(+ 1 (* x (* x (+ -1/8 (* (* x x) 11/128)))))
(* x (* x (+ -1/8 (* (* x x) 11/128))))
x
(* x (+ -1/8 (* (* x x) 11/128)))
(+ -1/8 (* (* x x) 11/128))
-1/8
(* (* x x) 11/128)
(* x x)
11/128
(- 1 (sqrt 1/2))
1
(sqrt 1/2)
1/2
(+ (- 1 (sqrt 1/2)) (/ -1/4 (* x (sqrt 1/2))))
(- 1 (sqrt 1/2))
1
(sqrt 1/2)
1/2
(/ -1/4 (* x (sqrt 1/2)))
-1/4
(* x (sqrt 1/2))
x

Outputs
(/ (+ 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(+ 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
1/2
#s(literal 1/2 binary64)
(/ -1/2 (sqrt (+ (* 1 1) (* x x))))
(/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
-1/2
#s(literal -1/2 binary64)
(sqrt (+ (* 1 1) (* x x)))
(hypot.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(/ 1/2 (sqrt (+ (* 1 1) (* x x))))
(/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
(- 1 1)
#s(literal 0 binary64)
1
#s(literal 1 binary64)
(- 1 (+ 1 (* x (* x (+ -1/8 (* (* x x) 11/128))))))
(.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x #s(literal -11/128 binary64))) #s(literal 1/8 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* x (* x (+ -1/8 (* (* x x) 11/128)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 11/128 binary64))))))
(* x (* x (+ -1/8 (* (* x x) 11/128))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 11/128 binary64)))))
x
(* x (+ -1/8 (* (* x x) 11/128)))
(.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal 11/128 binary64)))))
(+ -1/8 (* (* x x) 11/128))
(+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 11/128 binary64))))
-1/8
#s(literal -1/8 binary64)
(* (* x x) 11/128)
(.f64 x (.f64 x #s(literal 11/128 binary64)))
(* x x)
(*.f64 x x)
11/128
#s(literal 11/128 binary64)
(- 1 (sqrt 1/2))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ (- 1 (sqrt 1/2)) (/ -1/4 (* x (sqrt 1/2))))
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(- 1 (sqrt 1/2))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ -1/4 (* x (sqrt 1/2)))
(/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
-1/4
#s(literal -1/4 binary64)
(* x (sqrt 1/2))
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
x

localize117.0ms (0.7%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
✓	accuracy	99.6%	(/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
✓	accuracy	99.3%	(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
✓	accuracy	98.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	98.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
✓	accuracy	99.9%	(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64)))))))
✓	accuracy	99.9%	(.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64)))))
✓	accuracy	99.8%	(.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal 11/128 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 11/128 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
✓	accuracy	99.9%	(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))

Results

71.0ms

256×

valid

Compiler

Compiled 179 to 29 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 13.0ms (27.7% of total)

ival-add: 8.0ms (17% of total)

compiled-spec: 8.0ms (17% of total)

ival-div: 7.0ms (14.9% of total)

ival-sqrt: 6.0ms (12.8% of total)

ival-sub: 3.0ms (6.4% of total)

const: 1.0ms (2.1% of total)

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

series15.0ms (0.1%)

Counts

17 → 168

Calls

Call 1

Inputs
#<alt (/ (+ 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))))>
#<alt (+ 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))>
#<alt (/ -1/2 (sqrt (+ (* 1 1) (* x x))))>
#<alt (sqrt (+ (* 1 1) (* x x)))>
#<alt (- 1 1)>
#<alt (- 1 (+ 1 (* x (* x (+ -1/8 (* (* x x) 11/128))))))>
#<alt (+ 1 (* x (* x (+ -1/8 (* (* x x) 11/128)))))>
#<alt (* x (* x (+ -1/8 (* (* x x) 11/128))))>
#<alt (* x (+ -1/8 (* (* x x) 11/128)))>
#<alt (- 1 (sqrt 1/2))>
#<alt (sqrt 1/2)>
#<alt (+ (- 1 (sqrt 1/2)) (/ -1/4 (* x (sqrt 1/2))))>
#<alt (/ -1/4 (* x (sqrt 1/2)))>
#<alt (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))>
#<alt (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))))>
#<alt (* (* x x) 11/128)>
#<alt (* x (sqrt 1/2))>

Outputs
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))>
#<alt (/ 1/2 (+ 1 (sqrt 1/2)))>
#<alt (+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))>
#<alt (- (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2)))))))>
#<alt (- (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 3) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (pow x 3) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2))))))))))>
#<alt (/ 1/2 (+ 1 (sqrt 1/2)))>
#<alt (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))) x)) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -35/256 (pow x 2)))) 3/16))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/2 (/ 1 x)))>
#<alt (- (+ 1/2 (/ 1/4 (pow x 3))) (* 1/2 (/ 1 x)))>
#<alt (- (+ 1/2 (/ 1/4 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ 1 x)))>
#<alt (+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))>
#<alt (+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)))>
#<alt -1/2>
#<alt (- (* 1/4 (pow x 2)) 1/2)>
#<alt (- (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2)))) 1/2)>
#<alt (- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) 1/2)>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)>
#<alt (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)>
#<alt (/ (- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6)))) (+ 1/2 (/ 3/16 (pow x 4)))) x)>
#<alt (/ 1/2 x)>
#<alt (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x))>
#<alt (* -1 (/ (- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6)))) (+ 1/2 (/ 3/16 (pow x 4)))) x))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))>
#<alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))>
#<alt (* -11/128 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))>
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))>
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))>
#<alt (* -11/128 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))>
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))>
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))>
#<alt (+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))>
#<alt (* 11/128 (pow x 4))>
#<alt (* (pow x 4) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 11/128 (/ 1 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 11/128 (/ 1 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 11/128 (pow x 4))>
#<alt (* (pow x 4) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 11/128 (/ 1 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 11/128 (/ 1 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8))>
#<alt (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8))>
#<alt (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8))>
#<alt (* 11/128 (pow x 4))>
#<alt (* (pow x 4) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 11/128 (pow x 4))>
#<alt (* (pow x 4) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* -1/8 x)>
#<alt (* x (- (* 11/128 (pow x 2)) 1/8))>
#<alt (* x (- (* 11/128 (pow x 2)) 1/8))>
#<alt (* x (- (* 11/128 (pow x 2)) 1/8))>
#<alt (* 11/128 (pow x 3))>
#<alt (* (pow x 3) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 11/128 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 11/128)))>
#<alt (* -1 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 11/128)))>
#<alt (* -1 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 11/128)))>
#<alt (/ -1/4 (* x (sqrt 1/2)))>
#<alt (/ (- (* x (- 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) x)>
#<alt (/ (- (* x (- 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) x)>
#<alt (/ (- (* x (- 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) x)>
#<alt (- 1 (sqrt 1/2))>
#<alt (- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))>
#<alt (- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))>
#<alt (- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))>
#<alt (- 1 (sqrt 1/2))>
#<alt (- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))>
#<alt (- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))>
#<alt (- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))>
#<alt (/ -1/4 (* x (sqrt 1/2)))>
#<alt (/ -1/4 (* x (sqrt 1/2)))>
#<alt (/ -1/4 (* x (sqrt 1/2)))>
#<alt (/ -1/4 (* x (sqrt 1/2)))>
#<alt (/ -1/4 (* x (sqrt 1/2)))>
#<alt (/ -1/4 (* x (sqrt 1/2)))>
#<alt (/ -1/4 (* x (sqrt 1/2)))>
#<alt (/ -1/4 (* x (sqrt 1/2)))>
#<alt (/ -1/4 (* x (sqrt 1/2)))>
#<alt (/ -1/4 (* x (sqrt 1/2)))>
#<alt (/ -1/4 (* x (sqrt 1/2)))>
#<alt (/ -1/4 (* x (sqrt 1/2)))>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))>
#<alt (- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))>
#<alt (- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))>
#<alt (sqrt 1/2)>
#<alt (- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))>
#<alt 2>
#<alt (+ 2 (* -1/8 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))>
#<alt (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))>
#<alt (+ 1 (sqrt 1/2))>
#<alt (+ 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))>
#<alt (- (+ 1 (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2))))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))>
#<alt (- (+ 1 (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2)))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))>
#<alt (+ 1 (sqrt 1/2))>
#<alt (- (+ 1 (sqrt 1/2)) (* 1/4 (/ 1 (* x (sqrt 1/2)))))>
#<alt (+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x))))>
#<alt (+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))))>
#<alt (* 11/128 (pow x 2))>
#<alt (* 11/128 (pow x 2))>
#<alt (* 11/128 (pow x 2))>
#<alt (* 11/128 (pow x 2))>
#<alt (* 11/128 (pow x 2))>
#<alt (* 11/128 (pow x 2))>
#<alt (* 11/128 (pow x 2))>
#<alt (* 11/128 (pow x 2))>
#<alt (* 11/128 (pow x 2))>
#<alt (* 11/128 (pow x 2))>
#<alt (* 11/128 (pow x 2))>
#<alt (* 11/128 (pow x 2))>
#<alt (* x (sqrt 1/2))>
#<alt (* x (sqrt 1/2))>
#<alt (* x (sqrt 1/2))>
#<alt (* x (sqrt 1/2))>
#<alt (* x (sqrt 1/2))>
#<alt (* x (sqrt 1/2))>
#<alt (* x (sqrt 1/2))>
#<alt (* x (sqrt 1/2))>
#<alt (* x (sqrt 1/2))>
#<alt (* x (sqrt 1/2))>
#<alt (* x (sqrt 1/2))>
#<alt (* x (sqrt 1/2))>

Calls

42 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/ (+ 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))))
2.0ms	x	@	0	(+ (- 1 (sqrt 1/2)) (/ -1/4 (* x (sqrt 1/2))))
1.0ms	x	@	inf	(- 1 (+ 1 (* x (* x (+ -1/8 (* (* x x) 11/128))))))
1.0ms	x	@	0	(/ -1/4 (* x (sqrt 1/2)))
1.0ms	x	@	-inf	(/ (+ 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))))

rewrite365.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3518×	`/-lowering-/.f32`
3518×	`/-lowering-/.f64`
2990×	`-lowering-.f32`
2990×	`-lowering-.f64`
1990×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	130
1	195	124
2	2015	123
0	9081	123

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 452

Calls

Call 1

Inputs
(/ (+ 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))))
(+ 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))
(/ -1/2 (sqrt (+ (* 1 1) (* x x))))
(sqrt (+ (* 1 1) (* x x)))
(- 1 1)
(- 1 (+ 1 (* x (* x (+ -1/8 (* (* x x) 11/128))))))
(+ 1 (* x (* x (+ -1/8 (* (* x x) 11/128)))))
(* x (* x (+ -1/8 (* (* x x) 11/128))))
(* x (+ -1/8 (* (* x x) 11/128)))
(- 1 (sqrt 1/2))
(sqrt 1/2)
(+ (- 1 (sqrt 1/2)) (/ -1/4 (* x (sqrt 1/2))))
(/ -1/4 (* x (sqrt 1/2)))
(sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))
(+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))))
(* (* x x) 11/128)
(* x (sqrt 1/2))

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (/.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (/.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (/.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
(neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64))))
(neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal -1/4 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal -1/4 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (neg.f64 (+.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64))))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal -1/4 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))))) (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))) (+.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal -1/4 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal -1/4 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (neg.f64 (neg.f64 (+.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (+.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal -1/4 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
(*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
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(*.f64 (/.f64 #s(literal -1/4 binary64) x) (pow.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
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(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
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(.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
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(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64) #s(literal 1 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
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(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
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(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
(*.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
(.f64 x (.f64 x #s(literal 11/128 binary64)))
(.f64 (.f64 x x) #s(literal 11/128 binary64))
(.f64 #s(literal 11/128 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 11/128 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)

simplify292.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

4234×	`-lowering-.f32`
4234×	`-lowering-.f64`
3494×	`+-lowering-+.f64`
3494×	`+-lowering-+.f32`
2042×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	292	2157
1	949	1991
2	3314	1939
0	8230	1939

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(- (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2)))))))
(- (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 3) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (pow x 3) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2))))))))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))
(+ (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))) x)) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -35/256 (pow x 2)))) 3/16))))
1/2
(- 1/2 (* 1/2 (/ 1 x)))
(- (+ 1/2 (/ 1/4 (pow x 3))) (* 1/2 (/ 1 x)))
(- (+ 1/2 (/ 1/4 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5)))))
1/2
(+ 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)))
-1/2
(- (* 1/4 (pow x 2)) 1/2)
(- (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2)))) 1/2)
(- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) 1/2)
(/ -1/2 x)
(/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)
(/ (- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6)))) (+ 1/2 (/ 3/16 (pow x 4)))) x)
(/ 1/2 x)
(* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x))
(* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x))
(* -1 (/ (- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6)))) (+ 1/2 (/ 3/16 (pow x 4)))) x))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(* -11/128 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
(* -11/128 (pow x 4))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))
1
(+ 1 (* -1/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(* 11/128 (pow x 4))
(* (pow x 4) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 11/128 (/ 1 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 11/128 (/ 1 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* 11/128 (pow x 4))
(* (pow x 4) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 11/128 (/ 1 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 11/128 (/ 1 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 11/128 (pow x 2)) 1/8))
(* (pow x 2) (- (* 11/128 (pow x 2)) 1/8))
(* (pow x 2) (- (* 11/128 (pow x 2)) 1/8))
(* 11/128 (pow x 4))
(* (pow x 4) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))
(* 11/128 (pow x 4))
(* (pow x 4) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))
(* -1/8 x)
(* x (- (* 11/128 (pow x 2)) 1/8))
(* x (- (* 11/128 (pow x 2)) 1/8))
(* x (- (* 11/128 (pow x 2)) 1/8))
(* 11/128 (pow x 3))
(* (pow x 3) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 3) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 3) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))
(* 11/128 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 11/128)))
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 11/128)))
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 11/128)))
(/ -1/4 (* x (sqrt 1/2)))
(/ (- (* x (- 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) x)
(/ (- (* x (- 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) x)
(/ (- (* x (- 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) x)
(- 1 (sqrt 1/2))
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(- 1 (sqrt 1/2))
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(/ -1/4 (* x (sqrt 1/2)))
(/ -1/4 (* x (sqrt 1/2)))
(/ -1/4 (* x (sqrt 1/2)))
(/ -1/4 (* x (sqrt 1/2)))
(/ -1/4 (* x (sqrt 1/2)))
(/ -1/4 (* x (sqrt 1/2)))
(/ -1/4 (* x (sqrt 1/2)))
(/ -1/4 (* x (sqrt 1/2)))
(/ -1/4 (* x (sqrt 1/2)))
(/ -1/4 (* x (sqrt 1/2)))
(/ -1/4 (* x (sqrt 1/2)))
(/ -1/4 (* x (sqrt 1/2)))
1
(+ 1 (* -1/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))
(- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))
(sqrt 1/2)
(- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))
2
(+ 2 (* -1/8 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(+ 1 (sqrt 1/2))
(+ 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(- (+ 1 (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2))))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))
(- (+ 1 (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2)))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))
(+ 1 (sqrt 1/2))
(- (+ 1 (sqrt 1/2)) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x))))
(+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))))
(* 11/128 (pow x 2))
(* 11/128 (pow x 2))
(* 11/128 (pow x 2))
(* 11/128 (pow x 2))
(* 11/128 (pow x 2))
(* 11/128 (pow x 2))
(* 11/128 (pow x 2))
(* 11/128 (pow x 2))
(* 11/128 (pow x 2))
(* 11/128 (pow x 2))
(* 11/128 (pow x 2))
(* 11/128 (pow x 2))
(* x (sqrt 1/2))
(* x (sqrt 1/2))
(* x (sqrt 1/2))
(* x (sqrt 1/2))
(* x (sqrt 1/2))
(* x (sqrt 1/2))
(* x (sqrt 1/2))
(* x (sqrt 1/2))
(* x (sqrt 1/2))
(* x (sqrt 1/2))
(* x (sqrt 1/2))
(* x (sqrt 1/2))

Outputs
(* 1/8 (pow x 2))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -11/128 binary64)))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) #s(literal 69/1024 binary64)))))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 69/1024 binary64) (.f64 (.f64 x x) #s(literal -1843/32768 binary64)))))))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x))
(- (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2)))))))
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/4 binary64)))) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 x x))) (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
(- (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 3) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (pow x 3) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2))))))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/4 binary64)))))) (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 x x))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/4 binary64)))) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -3/16 binary64) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/32 binary64) (.f64 (.f64 x x) (.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))
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(+ (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
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(.f64 x (.f64 (*.f64 x x) #s(literal 11/128 binary64)))
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 11/128)))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 11/128 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))))
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 11/128)))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 11/128 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))))
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 11/128)))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 11/128 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))))
(/ -1/4 (* x (sqrt 1/2)))
(/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
(/ (- (* x (- 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) x)
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(/ (- (* x (- 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) x)
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(/ (- (* x (- 1 (sqrt 1/2))) (* 1/4 (/ 1 (sqrt 1/2)))) x)
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(- 1 (sqrt 1/2))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(- 1 (sqrt 1/2))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(/ -1/4 (* x (sqrt 1/2)))
(/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
(/ -1/4 (* x (sqrt 1/2)))
(/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
(/ -1/4 (* x (sqrt 1/2)))
(/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
(/ -1/4 (* x (sqrt 1/2)))
(/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
(/ -1/4 (* x (sqrt 1/2)))
(/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
(/ -1/4 (* x (sqrt 1/2)))
(/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
(/ -1/4 (* x (sqrt 1/2)))
(/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
(/ -1/4 (* x (sqrt 1/2)))
(/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
(/ -1/4 (* x (sqrt 1/2)))
(/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
(/ -1/4 (* x (sqrt 1/2)))
(/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
(/ -1/4 (* x (sqrt 1/2)))
(/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
(/ -1/4 (* x (sqrt 1/2)))
(/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64))))))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x))))
(- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 (/.f64 #s(literal -3/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x)))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x)) x))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) x))
2
#s(literal 2 binary64)
(+ 2 (* -1/8 (pow x 2)))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))
(+ 2 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64)))))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64))))))))
(+ 1 (sqrt 1/2))
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(+ 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))
(- (+ 1 (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2))))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))
(+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x))))
(- (+ 1 (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2)))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))
(+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (/.f64 (/.f64 #s(literal -3/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x)))))
(+ 1 (sqrt 1/2))
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(- (+ 1 (sqrt 1/2)) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x))))
(+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x)) x))
(+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))))
(+.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) x)))
(* 11/128 (pow x 2))
(.f64 (.f64 x x) #s(literal 11/128 binary64))
(* 11/128 (pow x 2))
(.f64 (.f64 x x) #s(literal 11/128 binary64))
(* 11/128 (pow x 2))
(.f64 (.f64 x x) #s(literal 11/128 binary64))
(* 11/128 (pow x 2))
(.f64 (.f64 x x) #s(literal 11/128 binary64))
(* 11/128 (pow x 2))
(.f64 (.f64 x x) #s(literal 11/128 binary64))
(* 11/128 (pow x 2))
(.f64 (.f64 x x) #s(literal 11/128 binary64))
(* 11/128 (pow x 2))
(.f64 (.f64 x x) #s(literal 11/128 binary64))
(* 11/128 (pow x 2))
(.f64 (.f64 x x) #s(literal 11/128 binary64))
(* 11/128 (pow x 2))
(.f64 (.f64 x x) #s(literal 11/128 binary64))
(* 11/128 (pow x 2))
(.f64 (.f64 x x) #s(literal 11/128 binary64))
(* 11/128 (pow x 2))
(.f64 (.f64 x x) #s(literal 11/128 binary64))
(* 11/128 (pow x 2))
(.f64 (.f64 x x) #s(literal 11/128 binary64))
(* x (sqrt 1/2))
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(* x (sqrt 1/2))
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(* x (sqrt 1/2))
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(* x (sqrt 1/2))
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(* x (sqrt 1/2))
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(* x (sqrt 1/2))
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(* x (sqrt 1/2))
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(* x (sqrt 1/2))
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(* x (sqrt 1/2))
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(* x (sqrt 1/2))
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(* x (sqrt 1/2))
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))
(* x (sqrt 1/2))
(*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))

eval95.0ms (0.6%)

Compiler: Compiled 18776 to 2120 computations (88.7% saved)

prune93.0ms (0.5%)

Pruning

28 alts after pruning (23 fresh and 5 done)

	Pruned	Kept	Total
New	686	12	698
Fresh	3	11	14
Picked	1	4	5
Done	0	1	1
Total	690	28	718

Accuracy

100.0%

Counts

718 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
	98.4%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
	98.4%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
	4.1%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64))))))
▶	3.6%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
	3.1%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
✓	99.9%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
▶	22.8%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
▶	99.9%	(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
	97.1%	(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
	98.4%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
	3.8%	(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
✓	1.1%	(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64)))))))
	4.5%	(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
	96.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))))
	96.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (.f64 x x)))) x))))
✓	98.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
	96.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
✓	95.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
	97.7%	(+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
✓	96.2%	(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
	1.1%	(+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64))))) x))
	1.2%	(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 69/1024 binary64) (.f64 (.f64 x x) #s(literal -1843/32768 binary64))))))))
▶	3.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) #s(literal 69/1024 binary64))))))
	1.1%	(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -11/128 binary64))))
	4.5%	(.f64 #s(literal 1/8 binary64) (.f64 x x))
▶	3.1%	#s(literal 0 binary64)

Compiler

Compiled 873 to 569 computations (34.8% saved)

simplify167.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(hypot.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
✓	cost-diff	0	(hypot.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) #s(literal 69/1024 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) #s(literal 69/1024 binary64)))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) #s(literal 69/1024 binary64))))))
✓	cost-diff	0	(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	cost-diff	0	(-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
✓	cost-diff	128	(.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
✓	cost-diff	128	(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Rules

1978×	`-lowering-.f32`
1978×	`-lowering-.f64`
1724×	`fma-lowering-fma.f32`
1724×	`fma-lowering-fma.f64`
1710×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	346
1	103	319
2	321	319
3	834	319
4	1617	319
5	2651	319
6	4396	319
0	8236	319

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* (- 1/4 (/ 1/4 (+ 1 (* x x)))) (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))))
(* (- 1/4 (/ 1/4 (+ 1 (* x x)))) (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))))
(- 1/4 (/ 1/4 (+ 1 (* x x))))
1/4
(/ 1/4 (+ 1 (* x x)))
(+ 1 (* x x))
1
(* x x)
x
(/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))
(+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))
1/2
(/ 1/2 (sqrt (+ (* 1 1) (* x x))))
(sqrt (+ (* 1 1) (* x x)))
(+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))))
(sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))
0
(* (* x x) (+ 1/8 (* (* x x) (+ -11/128 (* (* x x) 69/1024)))))
(* x x)
x
(+ 1/8 (* (* x x) (+ -11/128 (* (* x x) 69/1024))))
1/8
(* (* x x) (+ -11/128 (* (* x x) 69/1024)))
(+ -11/128 (* (* x x) 69/1024))
-11/128
(* (* x x) 69/1024)
69/1024
(/ (+ 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 2)
(+ 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))
1/2
(/ -1/2 (sqrt (+ (* 1 1) (* x x))))
-1/2
(sqrt (+ (* 1 1) (* x x)))
1
x
2
(/ (+ 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) (+ 2 (* x (* x (+ -1/8 (* (* x x) (+ 11/128 (* (* x x) -69/1024))))))))
(+ 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))
1/2
(/ -1/2 (sqrt (+ (* 1 1) (* x x))))
-1/2
(sqrt (+ (* 1 1) (* x x)))
1
x
(+ 2 (* x (* x (+ -1/8 (* (* x x) (+ 11/128 (* (* x x) -69/1024)))))))
2
(* x (* x (+ -1/8 (* (* x x) (+ 11/128 (* (* x x) -69/1024))))))
(* x (+ -1/8 (* (* x x) (+ 11/128 (* (* x x) -69/1024)))))
(+ -1/8 (* (* x x) (+ 11/128 (* (* x x) -69/1024))))
-1/8
(* (* x x) (+ 11/128 (* (* x x) -69/1024)))
(* x x)
(+ 11/128 (* (* x x) -69/1024))
11/128
(* (* x x) -69/1024)
-69/1024

Outputs
(/ (* (- 1/4 (/ 1/4 (+ 1 (* x x)))) (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(* (- 1/4 (/ 1/4 (+ 1 (* x x)))) (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(- 1/4 (/ 1/4 (+ 1 (* x x))))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x x))))
1/4
#s(literal 1/4 binary64)
(/ 1/4 (+ 1 (* x x)))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(+ 1 (* x x))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
(* x x)
(*.f64 x x)
x
(/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
1/2
#s(literal 1/2 binary64)
(/ 1/2 (sqrt (+ (* 1 1) (* x x))))
(/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
(sqrt (+ (* 1 1) (* x x)))
(hypot.f64 #s(literal 1 binary64) x)
(+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
0
#s(literal 0 binary64)
(* (* x x) (+ 1/8 (* (* x x) (+ -11/128 (* (* x x) 69/1024)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) #s(literal 69/1024 binary64))))))
(* x x)
(*.f64 x x)
x
(+ 1/8 (* (* x x) (+ -11/128 (* (* x x) 69/1024))))
(+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) #s(literal 69/1024 binary64)))))
1/8
#s(literal 1/8 binary64)
(* (* x x) (+ -11/128 (* (* x x) 69/1024)))
(.f64 (.f64 x x) (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) #s(literal 69/1024 binary64))))
(+ -11/128 (* (* x x) 69/1024))
(+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) #s(literal 69/1024 binary64)))
-11/128
#s(literal -11/128 binary64)
(* (* x x) 69/1024)
(.f64 (.f64 x x) #s(literal 69/1024 binary64))
69/1024
#s(literal 69/1024 binary64)
(/ (+ 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 2)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(+ 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
1/2
#s(literal 1/2 binary64)
(/ -1/2 (sqrt (+ (* 1 1) (* x x))))
(/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
-1/2
#s(literal -1/2 binary64)
(sqrt (+ (* 1 1) (* x x)))
(hypot.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
2
#s(literal 2 binary64)
(/ (+ 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) (+ 2 (* x (* x (+ -1/8 (* (* x x) (+ 11/128 (* (* x x) -69/1024))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
(+ 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
1/2
#s(literal 1/2 binary64)
(/ -1/2 (sqrt (+ (* 1 1) (* x x))))
(/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
-1/2
#s(literal -1/2 binary64)
(sqrt (+ (* 1 1) (* x x)))
(hypot.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(+ 2 (* x (* x (+ -1/8 (* (* x x) (+ 11/128 (* (* x x) -69/1024)))))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64))))))))
2
#s(literal 2 binary64)
(* x (* x (+ -1/8 (* (* x x) (+ 11/128 (* (* x x) -69/1024))))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))
(* x (+ -1/8 (* (* x x) (+ 11/128 (* (* x x) -69/1024)))))
(.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (+.f64 #s(literal 11/128 binary64) (.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))
(+ -1/8 (* (* x x) (+ 11/128 (* (* x x) -69/1024))))
(+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64))))))
-1/8
#s(literal -1/8 binary64)
(* (* x x) (+ 11/128 (* (* x x) -69/1024)))
(.f64 x (.f64 x (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))
(* x x)
(*.f64 x x)
(+ 11/128 (* (* x x) -69/1024))
(+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))
11/128
#s(literal 11/128 binary64)
(* (* x x) -69/1024)
(.f64 (.f64 x x) #s(literal -69/1024 binary64))
-69/1024
#s(literal -69/1024 binary64)

localize178.0ms (1%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal -69/1024 binary64))
✓	accuracy	99.3%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
✓	accuracy	100.0%	(hypot.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
✓	accuracy	99.9%	(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) #s(literal 69/1024 binary64)))
✓	accuracy	99.9%	(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) #s(literal 69/1024 binary64))))))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) #s(literal 69/1024 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 69/1024 binary64))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
✓	accuracy	100.0%	(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
✓	accuracy	100.0%	(-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
✓	accuracy	98.9%	(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))

Results

104.0ms

256×

valid

Compiler

Compiled 351 to 42 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-div: 20.0ms (29.9% of total)

ival-mult: 20.0ms (29.9% of total)

ival-add: 12.0ms (17.9% of total)

compiled-spec: 8.0ms (11.9% of total)

ival-sqrt: 4.0ms (6% of total)

const: 2.0ms (3% of total)

ival-sub: 1.0ms (1.5% of total)

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

series15.0ms (0.1%)

Counts

19 → 228

Calls

Call 1

Inputs
#<alt (/ (* (- 1/4 (/ 1/4 (+ 1 (* x x)))) (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))))>
#<alt (* (- 1/4 (/ 1/4 (+ 1 (* x x)))) (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))))>
#<alt (- 1/4 (/ 1/4 (+ 1 (* x x))))>
#<alt (/ 1/4 (+ 1 (* x x)))>
#<alt (* (* x x) (+ 1/8 (* (* x x) (+ -11/128 (* (* x x) 69/1024)))))>
#<alt (* x x)>
#<alt (+ 1/8 (* (* x x) (+ -11/128 (* (* x x) 69/1024))))>
#<alt (* (* x x) (+ -11/128 (* (* x x) 69/1024)))>
#<alt (/ (+ 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 2)>
#<alt (+ 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))>
#<alt (/ -1/2 (sqrt (+ (* 1 1) (* x x))))>
#<alt (sqrt (+ (* 1 1) (* x x)))>
#<alt (/ (+ 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) (+ 2 (* x (* x (+ -1/8 (* (* x x) (+ 11/128 (* (* x x) -69/1024))))))))>
#<alt (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))>
#<alt (* (* x x) 69/1024)>
#<alt (+ -11/128 (* (* x x) 69/1024))>
#<alt (* (* x x) -69/1024)>
#<alt (* (* x x) (+ 11/128 (* (* x x) -69/1024)))>
#<alt (* x (+ -1/8 (* (* x x) (+ 11/128 (* (* x x) -69/1024)))))>

Outputs
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))>
#<alt (/ 1/2 (+ 1 (sqrt 1/2)))>
#<alt (+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))>
#<alt (- (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -2 (/ (* (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2))))) (* (pow x 2) (+ 1 (sqrt 1/2))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (+ (* 1/8 (/ 1 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (sqrt 1/2))))))))))>
#<alt (- (+ (/ 1/64 (* (pow x 3) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))) (+ (* -2 (/ (* (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2))))) (* (pow x 2) (+ 1 (sqrt 1/2))))) (+ (* -2 (/ (* (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (- (* 1/8 (/ 1 (sqrt 1/2))) (* 1/64 (/ 1 (pow (sqrt 1/2) 3))))) (* (pow x 3) (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* 2 (/ (* (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))) (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* -2 (/ (* (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2))))) (+ 1 (sqrt 1/2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))) (* (pow x 3) (+ 1 (sqrt 1/2))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (+ (* 1/8 (/ 1 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (sqrt 1/2)))))))))))))>
#<alt (/ 1/2 (+ 1 (sqrt 1/2)))>
#<alt (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* -2 (/ (* (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2))))) (+ 1 (sqrt 1/2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/4 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -2 (/ (* (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (- (* 1/8 (/ 1 (sqrt 1/2))) (* 1/64 (/ 1 (pow (sqrt 1/2) 3))))) (+ 1 (sqrt 1/2)))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 2 (/ (* (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))) (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* -2 (/ (* (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2))))) (+ 1 (sqrt 1/2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))) (+ 1 (sqrt 1/2))))))) x)) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -2 (/ (* (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2))))) (+ 1 (sqrt 1/2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -35/256 (pow x 2)))) 3/16))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/2 (/ 1 x)))>
#<alt (- (+ 1/2 (/ 1/4 (pow x 3))) (* 1/2 (/ 1 x)))>
#<alt (- (+ 1/2 (/ 1/4 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ 1 x)))>
#<alt (+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))>
#<alt (+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* -1/4 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/4))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/4 (pow x 2)))) 1/4))))>
#<alt 1/4>
#<alt (- 1/4 (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ 1/4 (/ 1/4 (pow x 4))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ 1/4 (/ 1/4 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))))>
#<alt 1/4>
#<alt (- 1/4 (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ 1/4 (/ 1/4 (pow x 4))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ 1/4 (/ 1/4 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/4 (pow x 2)))>
#<alt (+ 1/4 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/4)))>
#<alt (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/4 (pow x 2)))) 1/4)))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ (- 1/4 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 1/4 (/ 1/4 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 1/4 (/ 1/4 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 1/4 (pow x 2))>
#<alt (/ (- 1/4 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 1/4 (/ 1/4 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 1/4 (/ 1/4 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))>
#<alt (* 69/1024 (pow x 6))>
#<alt (* (pow x 6) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* 69/1024 (pow x 6))>
#<alt (* (pow x 6) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1/8>
#<alt (+ 1/8 (* -11/128 (pow x 2)))>
#<alt (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))>
#<alt (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))>
#<alt (* 69/1024 (pow x 4))>
#<alt (* (pow x 4) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* 69/1024 (pow x 4))>
#<alt (* (pow x 4) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* -11/128 (pow x 2))>
#<alt (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))>
#<alt (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))>
#<alt (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))>
#<alt (* 69/1024 (pow x 4))>
#<alt (* (pow x 4) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* 69/1024 (pow x 4))>
#<alt (* (pow x 4) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (+ 1/8 (* -3/32 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 5/64 (pow x 2)) 3/32))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 5/64 (* -35/512 (pow x 2)))) 3/32))))>
#<alt 1/4>
#<alt (- 1/4 (* 1/4 (/ 1 x)))>
#<alt (- (+ 1/4 (/ 1/8 (pow x 3))) (* 1/4 (/ 1 x)))>
#<alt (- (+ 1/4 (/ 1/8 (pow x 3))) (+ (* 1/4 (/ 1 x)) (* 3/32 (/ 1 (pow x 5)))))>
#<alt 1/4>
#<alt (+ 1/4 (* 1/4 (/ 1 x)))>
#<alt (+ 1/4 (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/4) x)))>
#<alt (+ 1/4 (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/4 (/ 3/32 (pow x 4)))) x)))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -35/256 (pow x 2)))) 3/16))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/2 (/ 1 x)))>
#<alt (- (+ 1/2 (/ 1/4 (pow x 3))) (* 1/2 (/ 1 x)))>
#<alt (- (+ 1/2 (/ 1/4 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ 1 x)))>
#<alt (+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))>
#<alt (+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)))>
#<alt -1/2>
#<alt (- (* 1/4 (pow x 2)) 1/2)>
#<alt (- (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2)))) 1/2)>
#<alt (- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) 1/2)>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)>
#<alt (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)>
#<alt (/ (- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6)))) (+ 1/2 (/ 3/16 (pow x 4)))) x)>
#<alt (/ 1/2 x)>
#<alt (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x))>
#<alt (* -1 (/ (- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6)))) (+ 1/2 (/ 3/16 (pow x 4)))) x))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))>
#<alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))>
#<alt (/ -512/69 (pow x 6))>
#<alt (/ (- (* 512/69 (/ 1 x)) 512/69) (pow x 6))>
#<alt (/ (- (* 512/69 (/ 1 x)) (+ 512/69 (/ 45056/4761 (pow x 2)))) (pow x 6))>
#<alt (/ (- (+ (* 512/69 (/ 1 x)) (* 27392/4761 (/ 1 (pow x 3)))) (+ 512/69 (/ 45056/4761 (pow x 2)))) (pow x 6))>
#<alt (/ -512/69 (pow x 6))>
#<alt (* -1 (/ (+ 512/69 (* 512/69 (/ 1 x))) (pow x 6)))>
#<alt (/ (- (* -1 (/ (+ 512/69 (* 45056/4761 (/ 1 x))) x)) 512/69) (pow x 6))>
#<alt (/ (- (* -1 (/ (+ 512/69 (+ (* 45056/4761 (/ 1 x)) (/ 27392/4761 (pow x 2)))) x)) 512/69) (pow x 6))>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))>
#<alt (- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))>
#<alt (- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))>
#<alt (sqrt 1/2)>
#<alt (- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))>
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))>
#<alt (* 69/1024 (pow x 2))>
#<alt (* 69/1024 (pow x 2))>
#<alt (* 69/1024 (pow x 2))>
#<alt (* 69/1024 (pow x 2))>
#<alt (* 69/1024 (pow x 2))>
#<alt (* 69/1024 (pow x 2))>
#<alt (* 69/1024 (pow x 2))>
#<alt (* 69/1024 (pow x 2))>
#<alt (* 69/1024 (pow x 2))>
#<alt (* 69/1024 (pow x 2))>
#<alt (* 69/1024 (pow x 2))>
#<alt (* 69/1024 (pow x 2))>
#<alt -11/128>
#<alt (- (* 69/1024 (pow x 2)) 11/128)>
#<alt (- (* 69/1024 (pow x 2)) 11/128)>
#<alt (- (* 69/1024 (pow x 2)) 11/128)>
#<alt (* 69/1024 (pow x 2))>
#<alt (* (pow x 2) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* 69/1024 (pow x 2))>
#<alt (* (pow x 2) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* -69/1024 (pow x 2))>
#<alt (* -69/1024 (pow x 2))>
#<alt (* -69/1024 (pow x 2))>
#<alt (* -69/1024 (pow x 2))>
#<alt (* -69/1024 (pow x 2))>
#<alt (* -69/1024 (pow x 2))>
#<alt (* -69/1024 (pow x 2))>
#<alt (* -69/1024 (pow x 2))>
#<alt (* -69/1024 (pow x 2))>
#<alt (* -69/1024 (pow x 2))>
#<alt (* -69/1024 (pow x 2))>
#<alt (* -69/1024 (pow x 2))>
#<alt (* 11/128 (pow x 2))>
#<alt (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2))))>
#<alt (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2))))>
#<alt (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2))))>
#<alt (* -69/1024 (pow x 4))>
#<alt (* (pow x 4) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))>
#<alt (* (pow x 4) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))>
#<alt (* (pow x 4) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))>
#<alt (* -69/1024 (pow x 4))>
#<alt (* (pow x 4) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))>
#<alt (* (pow x 4) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))>
#<alt (* (pow x 4) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))>
#<alt (* -1/8 x)>
#<alt (* x (- (* 11/128 (pow x 2)) 1/8))>
#<alt (* x (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8))>
#<alt (* x (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8))>
#<alt (* -69/1024 (pow x 5))>
#<alt (* (pow x 5) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))>
#<alt (* (pow x 5) (- (* 11/128 (/ 1 (pow x 2))) (+ 69/1024 (/ 1/8 (pow x 4)))))>
#<alt (* (pow x 5) (- (* 11/128 (/ 1 (pow x 2))) (+ 69/1024 (/ 1/8 (pow x 4)))))>
#<alt (* -69/1024 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 69/1024 (* 11/128 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2))))))>

Calls

57 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/ (* (- 1/4 (/ 1/4 (+ 1 (* x x)))) (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))))
2.0ms	x	@	0	(* (* x x) (+ 11/128 (* (* x x) -69/1024)))
1.0ms	x	@	-inf	(/ (* (- 1/4 (/ 1/4 (+ 1 (* x x)))) (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))))
0.0ms	x	@	inf	(/ (+ 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) (+ 2 (* x (* x (+ -1/8 (* (* x x) (+ 11/128 (* (* x x) -69/1024))))))))
0.0ms	x	@	inf	(* (* x x) (+ 1/8 (* (* x x) (+ -11/128 (* (* x x) 69/1024)))))

rewrite306.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3450×	`-lowering-.f32`
3450×	`-lowering-.f64`
2448×	`/-lowering-/.f32`
2448×	`/-lowering-/.f64`
2142×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	217
1	281	200
2	2587	173
0	8699	173

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 468

Calls

Call 1

Inputs
(/ (* (- 1/4 (/ 1/4 (+ 1 (* x x)))) (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))))
(* (- 1/4 (/ 1/4 (+ 1 (* x x)))) (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))))
(- 1/4 (/ 1/4 (+ 1 (* x x))))
(/ 1/4 (+ 1 (* x x)))
(* (* x x) (+ 1/8 (* (* x x) (+ -11/128 (* (* x x) 69/1024)))))
(* x x)
(+ 1/8 (* (* x x) (+ -11/128 (* (* x x) 69/1024))))
(* (* x x) (+ -11/128 (* (* x x) 69/1024)))
(/ (+ 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) 2)
(+ 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))
(/ -1/2 (sqrt (+ (* 1 1) (* x x))))
(sqrt (+ (* 1 1) (* x x)))
(/ (+ 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) (+ 2 (* x (* x (+ -1/8 (* (* x x) (+ 11/128 (* (* x x) -69/1024))))))))
(sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))
(* (* x x) 69/1024)
(+ -11/128 (* (* x x) 69/1024))
(* (* x x) -69/1024)
(* (* x x) (+ 11/128 (* (* x x) -69/1024)))
(* x (+ -1/8 (* (* x x) (+ 11/128 (* (* x x) -69/1024)))))

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))))
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
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(fma.f64 (*.f64 x #s(literal 69/1024 binary64)) x #s(literal -11/128 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) #s(literal -11/128 binary64)))) (+.f64 #s(literal -1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 328509/1073741824 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -11/128 binary64) (.f64 x (.f64 x #s(literal -69/1024 binary64)))) (-.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4761/1048576 binary64)))))
(/.f64 (+.f64 #s(literal -1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))) (+.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 69/1024 binary64))) #s(literal -11/128 binary64)))))
(/.f64 (+.f64 #s(literal -1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4761/1048576 binary64)) (-.f64 #s(literal 121/16384 binary64) (.f64 #s(literal -759/131072 binary64) (.f64 x x)))))
(/.f64 (-.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4761/1048576 binary64))) (+.f64 #s(literal -11/128 binary64) (.f64 x (.f64 x #s(literal -69/1024 binary64)))))
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(/.f64 (neg.f64 (-.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4761/1048576 binary64)))) (neg.f64 (+.f64 #s(literal -11/128 binary64) (.f64 x (.f64 x #s(literal -69/1024 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4761/1048576 binary64)) #s(literal 121/16384 binary64)) (-.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) #s(literal -11/128 binary64)))
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(.f64 x (.f64 x #s(literal -69/1024 binary64)))
(.f64 (.f64 x x) #s(literal -69/1024 binary64))
(.f64 #s(literal -69/1024 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -69/1024 binary64)) x)
(+.f64 (.f64 (.f64 x x) #s(literal 11/128 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -69/1024 binary64))))))
(+.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -69/1024 binary64))))) (.f64 (.f64 x x) #s(literal 11/128 binary64)))
(fma.f64 x (.f64 x #s(literal 11/128 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal -69/1024 binary64))))))
(fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal -69/1024 binary64)))) (.f64 (*.f64 x x) #s(literal 11/128 binary64)))
(fma.f64 x (.f64 (.f64 x #s(literal -69/1024 binary64)) (.f64 x x)) (.f64 (*.f64 x x) #s(literal 11/128 binary64)))
(fma.f64 (.f64 x x) #s(literal 11/128 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal -69/1024 binary64))))))
(fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -69/1024 binary64))) (.f64 (*.f64 x x) #s(literal 11/128 binary64)))
(fma.f64 #s(literal 11/128 binary64) (.f64 x x) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal -69/1024 binary64))))))
(fma.f64 #s(literal -69/1024 binary64) (.f64 x (.f64 x (.f64 x x))) (.f64 (*.f64 x x) #s(literal 11/128 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal -69/1024 binary64))) (.f64 x x) (.f64 (*.f64 x x) #s(literal 11/128 binary64)))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -69/1024 binary64) (.f64 (*.f64 x x) #s(literal 11/128 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -69/1024 binary64)) (.f64 (*.f64 x x) #s(literal 11/128 binary64)))
(fma.f64 (.f64 #s(literal 11/128 binary64) x) x (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal -69/1024 binary64))))))
(fma.f64 (.f64 (.f64 x (.f64 x #s(literal -69/1024 binary64))) x) x (.f64 (*.f64 x x) #s(literal 11/128 binary64)))
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(/.f64 (.f64 (-.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4761/1048576 binary64))) (.f64 x x)) (+.f64 #s(literal 11/128 binary64) (.f64 x (.f64 x #s(literal 69/1024 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))) (.f64 x x)) (+.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 69/1024 binary64))) #s(literal -11/128 binary64)))))
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(.f64 (+.f64 #s(literal 11/128 binary64) (.f64 x (.f64 x #s(literal -69/1024 binary64)))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 11/128 binary64) (.f64 x (.f64 x #s(literal -69/1024 binary64))))) x)
(+.f64 (.f64 x #s(literal -1/8 binary64)) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 x (.f64 x #s(literal -69/1024 binary64)))))))
(+.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 x (.f64 x #s(literal -69/1024 binary64)))))) (.f64 x #s(literal -1/8 binary64)))
(fma.f64 x #s(literal -1/8 binary64) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 x (*.f64 x #s(literal -69/1024 binary64)))))))
(fma.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 x (.f64 x #s(literal -69/1024 binary64))))) (*.f64 x #s(literal -1/8 binary64)))
(fma.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 11/128 binary64) (.f64 x (.f64 x #s(literal -69/1024 binary64))))) (*.f64 x #s(literal -1/8 binary64)))
(fma.f64 #s(literal -1/8 binary64) x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 x (*.f64 x #s(literal -69/1024 binary64)))))))
(fma.f64 (+.f64 #s(literal 11/128 binary64) (.f64 x (.f64 x #s(literal -69/1024 binary64)))) (.f64 x (.f64 x x)) (*.f64 x #s(literal -1/8 binary64)))
(fma.f64 (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 x (.f64 x #s(literal -69/1024 binary64))))) x (*.f64 x #s(literal -1/8 binary64)))
(fma.f64 (.f64 x (+.f64 #s(literal 11/128 binary64) (.f64 x (.f64 x #s(literal -69/1024 binary64))))) (.f64 x x) (*.f64 x #s(literal -1/8 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 11/128 binary64) (.f64 x (.f64 x #s(literal -69/1024 binary64)))) (*.f64 x #s(literal -1/8 binary64)))
(/.f64 (+.f64 (.f64 #s(literal -1/512 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (+.f64 #s(literal 11/128 binary64) (.f64 x (.f64 x #s(literal -69/1024 binary64))))) (.f64 (.f64 x (+.f64 #s(literal 11/128 binary64) (.f64 x (.f64 x #s(literal -69/1024 binary64))))) (.f64 x (+.f64 #s(literal 11/128 binary64) (.f64 x (.f64 x #s(literal -69/1024 binary64))))))))) (+.f64 (.f64 (.f64 x #s(literal -1/8 binary64)) (.f64 x #s(literal -1/8 binary64))) (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 x (.f64 x #s(literal -69/1024 binary64)))))) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 x (.f64 x #s(literal -69/1024 binary64))))))) (.f64 (.f64 x #s(literal -1/8 binary64)) (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 x (*.f64 x #s(literal -69/1024 binary64))))))))))
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(/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 x (.f64 x #s(literal -69/1024 binary64))))) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 x (.f64 x #s(literal -69/1024 binary64))))))) x) (-.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 x (.f64 x #s(literal -69/1024 binary64)))))))
(.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 x (*.f64 x #s(literal -69/1024 binary64)))))))
(.f64 (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 x (*.f64 x #s(literal -69/1024 binary64)))))) x)

simplify319.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

3832×	`-lowering-.f32`
3832×	`-lowering-.f64`
2132×	`+-lowering-+.f64`
2132×	`+-lowering-+.f32`
1814×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	394	3033
1	1279	2903
2	4211	2890
0	8041	2890

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(- (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -2 (/ (* (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2))))) (* (pow x 2) (+ 1 (sqrt 1/2))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (+ (* 1/8 (/ 1 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (sqrt 1/2))))))))))
(- (+ (/ 1/64 (* (pow x 3) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))) (+ (* -2 (/ (* (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2))))) (* (pow x 2) (+ 1 (sqrt 1/2))))) (+ (* -2 (/ (* (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (- (* 1/8 (/ 1 (sqrt 1/2))) (* 1/64 (/ 1 (pow (sqrt 1/2) 3))))) (* (pow x 3) (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* 2 (/ (* (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))) (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* -2 (/ (* (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2))))) (+ 1 (sqrt 1/2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))) (* (pow x 3) (+ 1 (sqrt 1/2))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (+ (* 1/8 (/ 1 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (sqrt 1/2)))))))))))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))
(+ (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* -2 (/ (* (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2))))) (+ 1 (sqrt 1/2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/4 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -2 (/ (* (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (- (* 1/8 (/ 1 (sqrt 1/2))) (* 1/64 (/ 1 (pow (sqrt 1/2) 3))))) (+ 1 (sqrt 1/2)))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 2 (/ (* (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2)))) (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* -2 (/ (* (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2))))) (+ 1 (sqrt 1/2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))) (+ 1 (sqrt 1/2))))))) x)) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -2 (/ (* (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2))))) (+ 1 (sqrt 1/2)))) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -35/256 (pow x 2)))) 3/16))))
1/2
(- 1/2 (* 1/2 (/ 1 x)))
(- (+ 1/2 (/ 1/4 (pow x 3))) (* 1/2 (/ 1 x)))
(- (+ 1/2 (/ 1/4 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5)))))
1/2
(+ 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/4 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/4))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/4 (pow x 2)))) 1/4))))
1/4
(- 1/4 (* 1/4 (/ 1 (pow x 2))))
(- (+ 1/4 (/ 1/4 (pow x 4))) (* 1/4 (/ 1 (pow x 2))))
(- (+ 1/4 (/ 1/4 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))))
1/4
(- 1/4 (* 1/4 (/ 1 (pow x 2))))
(- (+ 1/4 (/ 1/4 (pow x 4))) (* 1/4 (/ 1 (pow x 2))))
(- (+ 1/4 (/ 1/4 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))))
1/4
(+ 1/4 (* -1/4 (pow x 2)))
(+ 1/4 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/4)))
(+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/4 (* -1/4 (pow x 2)))) 1/4)))
(/ 1/4 (pow x 2))
(/ (- 1/4 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 1/4 (/ 1/4 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 1/4 (/ 1/4 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6))))) (pow x 2))
(/ 1/4 (pow x 2))
(/ (- 1/4 (* 1/4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 1/4 (/ 1/4 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 1/4 (/ 1/4 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6))))) (pow x 2))
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(* 69/1024 (pow x 6))
(* (pow x 6) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))
(* 69/1024 (pow x 6))
(* (pow x 6) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1/8
(+ 1/8 (* -11/128 (pow x 2)))
(+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))
(+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))
(* 69/1024 (pow x 4))
(* (pow x 4) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))
(* 69/1024 (pow x 4))
(* (pow x 4) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))
(* -11/128 (pow x 2))
(* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))
(* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))
(* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))
(* 69/1024 (pow x 4))
(* (pow x 4) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
(* (pow x 4) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
(* (pow x 4) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
(* 69/1024 (pow x 4))
(* (pow x 4) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
(* (pow x 4) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
(* (pow x 4) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -3/32 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 5/64 (pow x 2)) 3/32))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 5/64 (* -35/512 (pow x 2)))) 3/32))))
1/4
(- 1/4 (* 1/4 (/ 1 x)))
(- (+ 1/4 (/ 1/8 (pow x 3))) (* 1/4 (/ 1 x)))
(- (+ 1/4 (/ 1/8 (pow x 3))) (+ (* 1/4 (/ 1 x)) (* 3/32 (/ 1 (pow x 5)))))
1/4
(+ 1/4 (* 1/4 (/ 1 x)))
(+ 1/4 (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/4) x)))
(+ 1/4 (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/4 (/ 3/32 (pow x 4)))) x)))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -35/256 (pow x 2)))) 3/16))))
1/2
(- 1/2 (* 1/2 (/ 1 x)))
(- (+ 1/2 (/ 1/4 (pow x 3))) (* 1/2 (/ 1 x)))
(- (+ 1/2 (/ 1/4 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5)))))
1/2
(+ 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)))
-1/2
(- (* 1/4 (pow x 2)) 1/2)
(- (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2)))) 1/2)
(- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) 1/2)
(/ -1/2 x)
(/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)
(/ (- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6)))) (+ 1/2 (/ 3/16 (pow x 4)))) x)
(/ 1/2 x)
(* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x))
(* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x))
(* -1 (/ (- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6)))) (+ 1/2 (/ 3/16 (pow x 4)))) x))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
(/ -512/69 (pow x 6))
(/ (- (* 512/69 (/ 1 x)) 512/69) (pow x 6))
(/ (- (* 512/69 (/ 1 x)) (+ 512/69 (/ 45056/4761 (pow x 2)))) (pow x 6))
(/ (- (+ (* 512/69 (/ 1 x)) (* 27392/4761 (/ 1 (pow x 3)))) (+ 512/69 (/ 45056/4761 (pow x 2)))) (pow x 6))
(/ -512/69 (pow x 6))
(* -1 (/ (+ 512/69 (* 512/69 (/ 1 x))) (pow x 6)))
(/ (- (* -1 (/ (+ 512/69 (* 45056/4761 (/ 1 x))) x)) 512/69) (pow x 6))
(/ (- (* -1 (/ (+ 512/69 (+ (* 45056/4761 (/ 1 x)) (/ 27392/4761 (pow x 2)))) x)) 512/69) (pow x 6))
1
(+ 1 (* -1/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))
(- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))
(sqrt 1/2)
(- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))
(* 69/1024 (pow x 2))
(* 69/1024 (pow x 2))
(* 69/1024 (pow x 2))
(* 69/1024 (pow x 2))
(* 69/1024 (pow x 2))
(* 69/1024 (pow x 2))
(* 69/1024 (pow x 2))
(* 69/1024 (pow x 2))
(* 69/1024 (pow x 2))
(* 69/1024 (pow x 2))
(* 69/1024 (pow x 2))
(* 69/1024 (pow x 2))
-11/128
(- (* 69/1024 (pow x 2)) 11/128)
(- (* 69/1024 (pow x 2)) 11/128)
(- (* 69/1024 (pow x 2)) 11/128)
(* 69/1024 (pow x 2))
(* (pow x 2) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
(* (pow x 2) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
(* (pow x 2) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
(* 69/1024 (pow x 2))
(* (pow x 2) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
(* (pow x 2) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
(* (pow x 2) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
(* -69/1024 (pow x 2))
(* -69/1024 (pow x 2))
(* -69/1024 (pow x 2))
(* -69/1024 (pow x 2))
(* -69/1024 (pow x 2))
(* -69/1024 (pow x 2))
(* -69/1024 (pow x 2))
(* -69/1024 (pow x 2))
(* -69/1024 (pow x 2))
(* -69/1024 (pow x 2))
(* -69/1024 (pow x 2))
(* -69/1024 (pow x 2))
(* 11/128 (pow x 2))
(* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2))))
(* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2))))
(* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2))))
(* -69/1024 (pow x 4))
(* (pow x 4) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))
(* (pow x 4) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))
(* (pow x 4) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))
(* -69/1024 (pow x 4))
(* (pow x 4) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))
(* (pow x 4) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))
(* (pow x 4) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))
(* -1/8 x)
(* x (- (* 11/128 (pow x 2)) 1/8))
(* x (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8))
(* x (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8))
(* -69/1024 (pow x 5))
(* (pow x 5) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))
(* (pow x 5) (- (* 11/128 (/ 1 (pow x 2))) (+ 69/1024 (/ 1/8 (pow x 4)))))
(* (pow x 5) (- (* 11/128 (/ 1 (pow x 2))) (+ 69/1024 (/ 1/8 (pow x 4)))))
(* -69/1024 (pow x 5))
(* -1 (* (pow x 5) (- 69/1024 (* 11/128 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2))))))

Outputs
(* 1/8 (pow x 2))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -11/128 binary64))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/128 binary64) (.f64 x (.f64 x #s(literal 69/1024 binary64))))))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 69/1024 binary64) (.f64 x (.f64 x #s(literal -1843/32768 binary64))))))))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x))
(- (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -2 (/ (* (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* 1/2 (+ 1 (sqrt 1/2))) (* 1/8 (/ 1 (sqrt 1/2))))) (* (pow x 2) (+ 1 (sqrt 1/2))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (+ (* 1/8 (/ 1 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (sqrt 1/2))))))))))
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(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 69/1024 binary64) (.f64 x (.f64 x #s(literal -1843/32768 binary64))))))))))
(/ -512/69 (pow x 6))
(/.f64 #s(literal -512/69 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (- (* 512/69 (/ 1 x)) 512/69) (pow x 6))
(/.f64 (+.f64 #s(literal -512/69 binary64) (/.f64 #s(literal 512/69 binary64) x)) (pow.f64 x #s(literal 6 binary64)))
(/ (- (* 512/69 (/ 1 x)) (+ 512/69 (/ 45056/4761 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 (/.f64 #s(literal 512/69 binary64) x) (-.f64 #s(literal -512/69 binary64) (/.f64 #s(literal 45056/4761 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (+ (* 512/69 (/ 1 x)) (* 27392/4761 (/ 1 (pow x 3)))) (+ 512/69 (/ 45056/4761 (pow x 2)))) (pow x 6))
(/.f64 (+.f64 (/.f64 #s(literal 512/69 binary64) x) (-.f64 (/.f64 #s(literal 27392/4761 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 512/69 binary64) (/.f64 #s(literal 45056/4761 binary64) (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(/ -512/69 (pow x 6))
(/.f64 #s(literal -512/69 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (/ (+ 512/69 (* 512/69 (/ 1 x))) (pow x 6)))
(/.f64 (+.f64 #s(literal 512/69 binary64) (/.f64 #s(literal 512/69 binary64) x)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64))))
(/ (- (* -1 (/ (+ 512/69 (* 45056/4761 (/ 1 x))) x)) 512/69) (pow x 6))
(/.f64 (-.f64 #s(literal -512/69 binary64) (/.f64 (+.f64 #s(literal 512/69 binary64) (/.f64 #s(literal 45056/4761 binary64) x)) x)) (pow.f64 x #s(literal 6 binary64)))
(/ (- (* -1 (/ (+ 512/69 (+ (* 45056/4761 (/ 1 x)) (/ 27392/4761 (pow x 2)))) x)) 512/69) (pow x 6))
(/.f64 (-.f64 #s(literal -512/69 binary64) (/.f64 (+.f64 (/.f64 #s(literal 45056/4761 binary64) x) (+.f64 #s(literal 512/69 binary64) (/.f64 #s(literal 27392/4761 binary64) (*.f64 x x)))) x)) (pow.f64 x #s(literal 6 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))
(-.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x x)))
(- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) #s(literal -1/4 binary64)) (.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x x)))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x)) x))
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (-.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/8 binary64)) (.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) x))
(* 69/1024 (pow x 2))
(.f64 x (.f64 x #s(literal 69/1024 binary64)))
(* 69/1024 (pow x 2))
(.f64 x (.f64 x #s(literal 69/1024 binary64)))
(* 69/1024 (pow x 2))
(.f64 x (.f64 x #s(literal 69/1024 binary64)))
(* 69/1024 (pow x 2))
(.f64 x (.f64 x #s(literal 69/1024 binary64)))
(* 69/1024 (pow x 2))
(.f64 x (.f64 x #s(literal 69/1024 binary64)))
(* 69/1024 (pow x 2))
(.f64 x (.f64 x #s(literal 69/1024 binary64)))
(* 69/1024 (pow x 2))
(.f64 x (.f64 x #s(literal 69/1024 binary64)))
(* 69/1024 (pow x 2))
(.f64 x (.f64 x #s(literal 69/1024 binary64)))
(* 69/1024 (pow x 2))
(.f64 x (.f64 x #s(literal 69/1024 binary64)))
(* 69/1024 (pow x 2))
(.f64 x (.f64 x #s(literal 69/1024 binary64)))
(* 69/1024 (pow x 2))
(.f64 x (.f64 x #s(literal 69/1024 binary64)))
(* 69/1024 (pow x 2))
(.f64 x (.f64 x #s(literal 69/1024 binary64)))
-11/128
#s(literal -11/128 binary64)
(- (* 69/1024 (pow x 2)) 11/128)
(+.f64 #s(literal -11/128 binary64) (.f64 x (.f64 x #s(literal 69/1024 binary64))))
(- (* 69/1024 (pow x 2)) 11/128)
(+.f64 #s(literal -11/128 binary64) (.f64 x (.f64 x #s(literal 69/1024 binary64))))
(- (* 69/1024 (pow x 2)) 11/128)
(+.f64 #s(literal -11/128 binary64) (.f64 x (.f64 x #s(literal 69/1024 binary64))))
(* 69/1024 (pow x 2))
(.f64 x (.f64 x #s(literal 69/1024 binary64)))
(* (pow x 2) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 69/1024 binary64) (/.f64 #s(literal -11/128 binary64) (*.f64 x x)))))
(* (pow x 2) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 69/1024 binary64) (/.f64 #s(literal -11/128 binary64) (*.f64 x x)))))
(* (pow x 2) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 69/1024 binary64) (/.f64 #s(literal -11/128 binary64) (*.f64 x x)))))
(* 69/1024 (pow x 2))
(.f64 x (.f64 x #s(literal 69/1024 binary64)))
(* (pow x 2) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 69/1024 binary64) (/.f64 #s(literal -11/128 binary64) (*.f64 x x)))))
(* (pow x 2) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 69/1024 binary64) (/.f64 #s(literal -11/128 binary64) (*.f64 x x)))))
(* (pow x 2) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal 69/1024 binary64) (/.f64 #s(literal -11/128 binary64) (*.f64 x x)))))
(* -69/1024 (pow x 2))
(.f64 (.f64 x x) #s(literal -69/1024 binary64))
(* -69/1024 (pow x 2))
(.f64 (.f64 x x) #s(literal -69/1024 binary64))
(* -69/1024 (pow x 2))
(.f64 (.f64 x x) #s(literal -69/1024 binary64))
(* -69/1024 (pow x 2))
(.f64 (.f64 x x) #s(literal -69/1024 binary64))
(* -69/1024 (pow x 2))
(.f64 (.f64 x x) #s(literal -69/1024 binary64))
(* -69/1024 (pow x 2))
(.f64 (.f64 x x) #s(literal -69/1024 binary64))
(* -69/1024 (pow x 2))
(.f64 (.f64 x x) #s(literal -69/1024 binary64))
(* -69/1024 (pow x 2))
(.f64 (.f64 x x) #s(literal -69/1024 binary64))
(* -69/1024 (pow x 2))
(.f64 (.f64 x x) #s(literal -69/1024 binary64))
(* -69/1024 (pow x 2))
(.f64 (.f64 x x) #s(literal -69/1024 binary64))
(* -69/1024 (pow x 2))
(.f64 (.f64 x x) #s(literal -69/1024 binary64))
(* -69/1024 (pow x 2))
(.f64 (.f64 x x) #s(literal -69/1024 binary64))
(* 11/128 (pow x 2))
(.f64 (.f64 x x) #s(literal 11/128 binary64))
(* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64))))
(* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64))))
(* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64))))
(* -69/1024 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -69/1024 binary64))
(* (pow x 4) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal -69/1024 binary64)))
(* (pow x 4) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal -69/1024 binary64)))
(* (pow x 4) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal -69/1024 binary64)))
(* -69/1024 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -69/1024 binary64))
(* (pow x 4) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal -69/1024 binary64)))
(* (pow x 4) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal -69/1024 binary64)))
(* (pow x 4) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal -69/1024 binary64)))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* x (- (* 11/128 (pow x 2)) 1/8))
(.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal 11/128 binary64))))
(* x (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8))
(.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))
(* x (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8))
(.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (*.f64 x x) #s(literal -69/1024 binary64))))))
(* -69/1024 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -69/1024 binary64))
(* (pow x 5) (- (* 11/128 (/ 1 (pow x 2))) 69/1024))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 11/128 binary64) (.f64 x x)) #s(literal -69/1024 binary64)))
(* (pow x 5) (- (* 11/128 (/ 1 (pow x 2))) (+ 69/1024 (/ 1/8 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 11/128 binary64) (.f64 x x)) (+.f64 #s(literal -69/1024 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* (pow x 5) (- (* 11/128 (/ 1 (pow x 2))) (+ 69/1024 (/ 1/8 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 11/128 binary64) (.f64 x x)) (+.f64 #s(literal -69/1024 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* -69/1024 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -69/1024 binary64))
(* -1 (* (pow x 5) (- 69/1024 (* 11/128 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 69/1024 binary64) (/.f64 #s(literal -11/128 binary64) (.f64 x x)))))
(* -1 (* (pow x 5) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 69/1024 binary64) (/.f64 #s(literal -11/128 binary64) (.f64 x x))))))
(* -1 (* (pow x 5) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 69/1024 binary64) (/.f64 #s(literal -11/128 binary64) (.f64 x x))))))

eval128.0ms (0.7%)

Compiler: Compiled 30540 to 2764 computations (90.9% saved)

prune170.0ms (1%)

Pruning

38 alts after pruning (30 fresh and 8 done)

	Pruned	Kept	Total
New	965	16	981
Fresh	4	14	18
Picked	2	3	5
Done	0	5	5
Total	971	38	1009

Accuracy

100.0%

Counts

1009 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
▶	99.9%	(/.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1/4 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
	98.4%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
	4.1%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64))))))
▶	1.9%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))) (.f64 x x)) (+.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 69/1024 binary64))) #s(literal -11/128 binary64))))))))))
✓	3.6%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
	3.1%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
✓	99.9%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
	22.8%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) #s(literal 2 binary64))
	22.8%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
	3.5%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))))))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
	22.8%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))))))) #s(literal 2 binary64))
▶	22.7%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) #s(literal 2 binary64))
	3.3%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
	99.9%	(/.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))))) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x x))))) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
	99.9%	(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))))
✓	99.9%	(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
	3.6%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 x (.f64 x #s(literal -69/1024 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
	97.1%	(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
	98.4%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
✓	1.1%	(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64)))))))
	4.5%	(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
▶	96.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))))
	96.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (.f64 x x)))) x))))
✓	98.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
	96.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
✓	95.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
	97.7%	(+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
✓	96.2%	(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
	22.6%	(+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
	22.6%	(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) x))
	3.6%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 x (*.f64 x #s(literal -69/1024 binary64))))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
	1.2%	(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 69/1024 binary64) (.f64 (.f64 x x) #s(literal -1843/32768 binary64))))))))
✓	3.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) #s(literal 69/1024 binary64))))))
	1.1%	(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -11/128 binary64))))
	4.5%	(.f64 (.f64 x x) #s(literal 1/8 binary64))
▶	22.6%	#s(literal 1/4 binary64)

Compiler

Compiled 1526 to 937 computations (38.6% saved)

simplify237.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))) (.f64 x x)) (+.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) (-.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) #s(literal -11/128 binary64)))))))
✓	cost-diff	128	(.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))) (.f64 x x)) (+.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 69/1024 binary64))) #s(literal -11/128 binary64))))))))
✓	cost-diff	128	(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))) (.f64 x x)) (+.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 69/1024 binary64))) #s(literal -11/128 binary64)))))))))
✓	cost-diff	128	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))) (.f64 x x)) (+.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 69/1024 binary64))) #s(literal -11/128 binary64))))))))))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x)
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))
✓	cost-diff	0	(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))))
✓	cost-diff	256	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
✓	cost-diff	256	(/.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
✓	cost-diff	256	(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))))
✓	cost-diff	256	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) #s(literal 2 binary64))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1/4 binary64))
✓	cost-diff	7104	(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1/4 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
✓	cost-diff	7104	(/.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1/4 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Rules

2636×	`-lowering-.f32`
2636×	`-lowering-.f64`
1902×	`fma-define`
1804×	`sum3-define`
1598×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	602
1	139	532
2	308	518
3	841	498
4	1674	498
5	3192	498
6	6142	498
7	7410	498
0	8112	498

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (* (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1/4) (* (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) (/ -1/4 (+ 1 (* x x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))))
(+ (* (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1/4) (* (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) (/ -1/4 (+ 1 (* x x)))))
(* (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1/4)
(/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))
1
(+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))
1/2
(/ 1/2 (sqrt (+ (* 1 1) (* x x))))
(sqrt (+ (* 1 1) (* x x)))
x
1/4
(* (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) (/ -1/4 (+ 1 (* x x))))
(/ -1/4 (+ 1 (* x x)))
-1/4
(+ 1 (* x x))
(* x x)
(+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))))
(sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))
1/4
(/ (+ 1/2 (/ -1/2 (* x (+ 1 (/ 1/2 (* x x)))))) 2)
(+ 1/2 (/ -1/2 (* x (+ 1 (/ 1/2 (* x x))))))
1/2
(/ -1/2 (* x (+ 1 (/ 1/2 (* x x)))))
-1/2
(* x (+ 1 (/ 1/2 (* x x))))
x
(+ 1 (/ 1/2 (* x x)))
1
(/ 1/2 (* x x))
(* x x)
2
(- 1 (sqrt (+ 1/2 (/ (+ 1/2 (/ -1/4 (* x x))) x))))
1
(sqrt (+ 1/2 (/ (+ 1/2 (/ -1/4 (* x x))) x)))
(+ 1/2 (/ (+ 1/2 (/ -1/4 (* x x))) x))
1/2
(/ (+ 1/2 (/ -1/4 (* x x))) x)
(+ 1/2 (/ -1/4 (* x x)))
(/ -1/4 (* x x))
-1/4
(* x x)
x
(/ (+ 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) (+ 2 (* x (* x (+ -1/8 (/ (* (+ 1331/2097152 (* (* (* x x) (* x (* x (* x x)))) 328509/1073741824)) (* x x)) (+ 121/16384 (* (* x (* x 69/1024)) (- (* x (* x 69/1024)) -11/128)))))))))
(+ 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))
1/2
(/ -1/2 (sqrt (+ (* 1 1) (* x x))))
-1/2
(sqrt (+ (* 1 1) (* x x)))
1
x
(+ 2 (* x (* x (+ -1/8 (/ (* (+ 1331/2097152 (* (* (* x x) (* x (* x (* x x)))) 328509/1073741824)) (* x x)) (+ 121/16384 (* (* x (* x 69/1024)) (- (* x (* x 69/1024)) -11/128))))))))
2
(* x (* x (+ -1/8 (/ (* (+ 1331/2097152 (* (* (* x x) (* x (* x (* x x)))) 328509/1073741824)) (* x x)) (+ 121/16384 (* (* x (* x 69/1024)) (- (* x (* x 69/1024)) -11/128)))))))
(* x (+ -1/8 (/ (* (+ 1331/2097152 (* (* (* x x) (* x (* x (* x x)))) 328509/1073741824)) (* x x)) (+ 121/16384 (* (* x (* x 69/1024)) (- (* x (* x 69/1024)) -11/128))))))
(+ -1/8 (/ (* (+ 1331/2097152 (* (* (* x x) (* x (* x (* x x)))) 328509/1073741824)) (* x x)) (+ 121/16384 (* (* x (* x 69/1024)) (- (* x (* x 69/1024)) -11/128)))))
-1/8
(/ (* (+ 1331/2097152 (* (* (* x x) (* x (* x (* x x)))) 328509/1073741824)) (* x x)) (+ 121/16384 (* (* x (* x 69/1024)) (- (* x (* x 69/1024)) -11/128))))
(* (+ 1331/2097152 (* (* (* x x) (* x (* x (* x x)))) 328509/1073741824)) (* x x))
(+ 1331/2097152 (* (* (* x x) (* x (* x (* x x)))) 328509/1073741824))
1331/2097152
(* (* (* x x) (* x (* x (* x x)))) 328509/1073741824)
(* (* x x) (* x (* x (* x x))))
(* x x)
(* x (* x (* x x)))
(* x (* x x))
328509/1073741824
(+ 121/16384 (* (* x (* x 69/1024)) (- (* x (* x 69/1024)) -11/128)))
121/16384
(* (* x (* x 69/1024)) (- (* x (* x 69/1024)) -11/128))
(* x (* x 69/1024))
(* x 69/1024)
69/1024
(- (* x (* x 69/1024)) -11/128)
-11/128

Outputs
(/ (+ (* (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1/4) (* (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) (/ -1/4 (+ 1 (* x x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))))
(/.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(+ (* (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1/4) (* (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) (/ -1/4 (+ 1 (* x x)))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(* (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1/4)
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
1
#s(literal 1 binary64)
(+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
1/2
#s(literal 1/2 binary64)
(/ 1/2 (sqrt (+ (* 1 1) (* x x))))
(/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
(sqrt (+ (* 1 1) (* x x)))
(hypot.f64 #s(literal 1 binary64) x)
x
1/4
#s(literal 1/4 binary64)
(* (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) (/ -1/4 (+ 1 (* x x))))
(/.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(/ -1/4 (+ 1 (* x x)))
(/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
-1/4
#s(literal -1/4 binary64)
(+ 1 (* x x))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* x x)
(*.f64 x x)
(+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
1/4
#s(literal 1/4 binary64)
(/ (+ 1/2 (/ -1/2 (* x (+ 1 (/ 1/2 (* x x)))))) 2)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))
(+ 1/2 (/ -1/2 (* x (+ 1 (/ 1/2 (* x x))))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))
1/2
#s(literal 1/2 binary64)
(/ -1/2 (* x (+ 1 (/ 1/2 (* x x)))))
(/.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))
-1/2
#s(literal -1/2 binary64)
(* x (+ 1 (/ 1/2 (* x x))))
(+.f64 x (/.f64 #s(literal 1/2 binary64) x))
x
(+ 1 (/ 1/2 (* x x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
1
#s(literal 1 binary64)
(/ 1/2 (* x x))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* x x)
(*.f64 x x)
2
#s(literal 2 binary64)
(- 1 (sqrt (+ 1/2 (/ (+ 1/2 (/ -1/4 (* x x))) x))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))))
1
#s(literal 1 binary64)
(sqrt (+ 1/2 (/ (+ 1/2 (/ -1/4 (* x x))) x)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x)))
(+ 1/2 (/ (+ 1/2 (/ -1/4 (* x x))) x))
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))
1/2
#s(literal 1/2 binary64)
(/ (+ 1/2 (/ -1/4 (* x x))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x)
(+ 1/2 (/ -1/4 (* x x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(/ -1/4 (* x x))
(/.f64 #s(literal -1/4 binary64) (*.f64 x x))
-1/4
#s(literal -1/4 binary64)
(* x x)
(*.f64 x x)
x
(/ (+ 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) (+ 2 (* x (* x (+ -1/8 (/ (* (+ 1331/2097152 (* (* (* x x) (* x (* x (* x x)))) 328509/1073741824)) (* x x)) (+ 121/16384 (* (* x (* x 69/1024)) (- (* x (* x 69/1024)) -11/128)))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 328509/1073741824 binary64))))) (+.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 4761/1048576 binary64)) #s(literal 759/131072 binary64)))))))))
(+ 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))
1/2
#s(literal 1/2 binary64)
(/ -1/2 (sqrt (+ (* 1 1) (* x x))))
(/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))
-1/2
#s(literal -1/2 binary64)
(sqrt (+ (* 1 1) (* x x)))
(hypot.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(+ 2 (* x (* x (+ -1/8 (/ (* (+ 1331/2097152 (* (* (* x x) (* x (* x (* x x)))) 328509/1073741824)) (* x x)) (+ 121/16384 (* (* x (* x 69/1024)) (- (* x (* x 69/1024)) -11/128))))))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 328509/1073741824 binary64))))) (+.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 4761/1048576 binary64)) #s(literal 759/131072 binary64))))))))
2
#s(literal 2 binary64)
(* x (* x (+ -1/8 (/ (* (+ 1331/2097152 (* (* (* x x) (* x (* x (* x x)))) 328509/1073741824)) (* x x)) (+ 121/16384 (* (* x (* x 69/1024)) (- (* x (* x 69/1024)) -11/128)))))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 328509/1073741824 binary64))))) (+.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 4761/1048576 binary64)) #s(literal 759/131072 binary64)))))))
(* x (+ -1/8 (/ (* (+ 1331/2097152 (* (* (* x x) (* x (* x (* x x)))) 328509/1073741824)) (* x x)) (+ 121/16384 (* (* x (* x 69/1024)) (- (* x (* x 69/1024)) -11/128))))))
(.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 328509/1073741824 binary64))))) (+.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal 4761/1048576 binary64)) #s(literal 759/131072 binary64)))))))
(+ -1/8 (/ (* (+ 1331/2097152 (* (* (* x x) (* x (* x (* x x)))) 328509/1073741824)) (* x x)) (+ 121/16384 (* (* x (* x 69/1024)) (- (* x (* x 69/1024)) -11/128)))))
(+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 328509/1073741824 binary64))))) (+.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 4761/1048576 binary64)) #s(literal 759/131072 binary64))))))
-1/8
#s(literal -1/8 binary64)
(/ (* (+ 1331/2097152 (* (* (* x x) (* x (* x (* x x)))) 328509/1073741824)) (* x x)) (+ 121/16384 (* (* x (* x 69/1024)) (- (* x (* x 69/1024)) -11/128))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 328509/1073741824 binary64))))) (+.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 4761/1048576 binary64)) #s(literal 759/131072 binary64)))))
(* (+ 1331/2097152 (* (* (* x x) (* x (* x (* x x)))) 328509/1073741824)) (* x x))
(.f64 (.f64 x x) (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 328509/1073741824 binary64)))))
(+ 1331/2097152 (* (* (* x x) (* x (* x (* x x)))) 328509/1073741824))
(+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 328509/1073741824 binary64))))
1331/2097152
#s(literal 1331/2097152 binary64)
(* (* (* x x) (* x (* x (* x x)))) 328509/1073741824)
(.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 328509/1073741824 binary64)))
(* (* x x) (* x (* x (* x x))))
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(* x x)
(*.f64 x x)
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
328509/1073741824
#s(literal 328509/1073741824 binary64)
(+ 121/16384 (* (* x (* x 69/1024)) (- (* x (* x 69/1024)) -11/128)))
(+.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 4761/1048576 binary64)) #s(literal 759/131072 binary64))))
121/16384
#s(literal 121/16384 binary64)
(* (* x (* x 69/1024)) (- (* x (* x 69/1024)) -11/128))
(.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal 4761/1048576 binary64)) #s(literal 759/131072 binary64)))
(* x (* x 69/1024))
(.f64 x (.f64 x #s(literal 69/1024 binary64)))
(* x 69/1024)
(*.f64 x #s(literal 69/1024 binary64))
69/1024
#s(literal 69/1024 binary64)
(- (* x (* x 69/1024)) -11/128)
(+.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) #s(literal 11/128 binary64))
-11/128
#s(literal -11/128 binary64)

localize398.0ms (2.3%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 69/1024 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 69/1024 binary64))) #s(literal -11/128 binary64)))
✓	accuracy	99.3%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))) (.f64 x x)) (+.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 69/1024 binary64))) #s(literal -11/128 binary64))))))))))
✓	accuracy	26.8%	(/.f64 (.f64 (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))) (.f64 x x)) (+.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 69/1024 binary64))) #s(literal -11/128 binary64)))))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x)
✓	accuracy	98.9%	(/.f64 #s(literal -1/4 binary64) (*.f64 x x))
✓	accuracy	98.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
✓	accuracy	98.9%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	accuracy	100.0%	(/.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1/4 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
✓	accuracy	100.0%	(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1/4 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
✓	accuracy	99.9%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))))
✓	accuracy	98.9%	(/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))

Results

275.0ms	255×	0	valid
0.0ms	1×	0	invalid

Compiler

Compiled 683 to 58 computations (91.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 163.0ms

ival-mult: 85.0ms (52% of total)

ival-div: 30.0ms (18.4% of total)

ival-add: 17.0ms (10.4% of total)

ival-sub: 13.0ms (8% of total)

compiled-spec: 10.0ms (6.1% of total)

ival-sqrt: 6.0ms (3.7% of total)

const: 2.0ms (1.2% of total)

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

series20.0ms (0.1%)

Counts

24 → 288

Calls

Call 1

Inputs
#<alt (/ (+ (* (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1/4) (* (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) (/ -1/4 (+ 1 (* x x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))))>
#<alt (+ (* (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1/4) (* (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) (/ -1/4 (+ 1 (* x x)))))>
#<alt (* (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1/4)>
#<alt (* (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) (/ -1/4 (+ 1 (* x x))))>
#<alt (/ (+ 1/2 (/ -1/2 (* x (+ 1 (/ 1/2 (* x x)))))) 2)>
#<alt (+ 1/2 (/ -1/2 (* x (+ 1 (/ 1/2 (* x x))))))>
#<alt (/ -1/2 (* x (+ 1 (/ 1/2 (* x x)))))>
#<alt (* x (+ 1 (/ 1/2 (* x x))))>
#<alt (- 1 (sqrt (+ 1/2 (/ (+ 1/2 (/ -1/4 (* x x))) x))))>
#<alt (sqrt (+ 1/2 (/ (+ 1/2 (/ -1/4 (* x x))) x)))>
#<alt (+ 1/2 (/ (+ 1/2 (/ -1/4 (* x x))) x))>
#<alt (/ (+ 1/2 (/ -1/4 (* x x))) x)>
#<alt (/ (+ 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) (+ 2 (* x (* x (+ -1/8 (/ (* (+ 1331/2097152 (* (* (* x x) (* x (* x (* x x)))) 328509/1073741824)) (* x x)) (+ 121/16384 (* (* x (* x 69/1024)) (- (* x (* x 69/1024)) -11/128)))))))))>
#<alt (+ 2 (* x (* x (+ -1/8 (/ (* (+ 1331/2097152 (* (* (* x x) (* x (* x (* x x)))) 328509/1073741824)) (* x x)) (+ 121/16384 (* (* x (* x 69/1024)) (- (* x (* x 69/1024)) -11/128))))))))>
#<alt (* x (* x (+ -1/8 (/ (* (+ 1331/2097152 (* (* (* x x) (* x (* x (* x x)))) 328509/1073741824)) (* x x)) (+ 121/16384 (* (* x (* x 69/1024)) (- (* x (* x 69/1024)) -11/128)))))))>
#<alt (* x (+ -1/8 (/ (* (+ 1331/2097152 (* (* (* x x) (* x (* x (* x x)))) 328509/1073741824)) (* x x)) (+ 121/16384 (* (* x (* x 69/1024)) (- (* x (* x 69/1024)) -11/128))))))>
#<alt (/ -1/4 (+ 1 (* x x)))>
#<alt (/ 1/2 (* x x))>
#<alt (* x x)>
#<alt (/ -1/4 (* x x))>
#<alt (+ 1/2 (/ -1/4 (* x x)))>
#<alt (/ (* (+ 1331/2097152 (* (* (* x x) (* x (* x (* x x)))) 328509/1073741824)) (* x x)) (+ 121/16384 (* (* x (* x 69/1024)) (- (* x (* x 69/1024)) -11/128))))>
#<alt (* (* x (* x 69/1024)) (- (* x (* x 69/1024)) -11/128))>
#<alt (* x (* x 69/1024))>

Outputs
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))>
#<alt (/ 1/2 (+ 1 (sqrt 1/2)))>
#<alt (+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))>
#<alt (- (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2)))))))>
#<alt (- (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 3) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (pow x 3) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2))))))))))>
#<alt (/ 1/2 (+ 1 (sqrt 1/2)))>
#<alt (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))) x)) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))))>
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -35/256 (pow x 2)))) 3/16))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/2 (/ 1 x)))>
#<alt (- (+ 1/2 (/ 1/4 (pow x 3))) (* 1/2 (/ 1 x)))>
#<alt (- (+ 1/2 (/ 1/4 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ 1 x)))>
#<alt (+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))>
#<alt (+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)))>
#<alt 1/4>
#<alt (+ 1/4 (* 1/16 (pow x 2)))>
#<alt (+ 1/4 (* (pow x 2) (+ 1/16 (* -1/32 (pow x 2)))))>
#<alt (+ 1/4 (* (pow x 2) (+ 1/16 (* (pow x 2) (- (* 5/256 (pow x 2)) 1/32)))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/2 (/ 1 x)))>
#<alt (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x)))>
#<alt (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ 1 x)))>
#<alt (+ 1/2 (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x))))>
#<alt (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/4 (/ 1 x))) x)) 1/2) x)))>
#<alt -1/4>
#<alt (- (* 3/16 (pow x 2)) 1/4)>
#<alt (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)>
#<alt (- (* (pow x 2) (+ 3/16 (* (pow x 2) (- (* 35/256 (pow x 2)) 5/32)))) 1/4)>
#<alt (/ -1/2 (pow x 2))>
#<alt (/ (- (* 1/2 (/ 1 x)) 1/2) (pow x 2))>
#<alt (/ (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1/4 (pow x 3)))) (pow x 2))>
#<alt (/ (- (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5)))) (+ 1/2 (/ 1/4 (pow x 3)))) (pow x 2))>
#<alt (/ -1/2 (pow x 2))>
#<alt (* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)) 1/2) (pow x 2))>
#<alt (/ (- (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)) 1/2) (pow x 2))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/2 x))>
#<alt (+ 1/4 (* x (- (pow x 2) 1/2)))>
#<alt (+ 1/4 (* x (- (* (pow x 2) (+ 1 (* -2 (pow x 2)))) 1/2)))>
#<alt 1/4>
#<alt (- 1/4 (* 1/4 (/ 1 x)))>
#<alt (- (+ 1/4 (/ 1/8 (pow x 3))) (* 1/4 (/ 1 x)))>
#<alt (- (+ 1/4 (/ 1/8 (pow x 3))) (+ (* 1/4 (/ 1 x)) (* 1/16 (/ 1 (pow x 5)))))>
#<alt 1/4>
#<alt (- 1/4 (* 1/4 (/ 1 x)))>
#<alt (+ 1/4 (* -1 (/ (- 1/4 (* 1/8 (/ 1 (pow x 2)))) x)))>
#<alt (+ 1/4 (* -1 (/ (- (+ 1/4 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1 x))>
#<alt (+ 1/2 (* x (- (* 2 (pow x 2)) 1)))>
#<alt (+ 1/2 (* x (- (* (pow x 2) (+ 2 (* -4 (pow x 2)))) 1)))>
#<alt 1/2>
#<alt (- 1/2 (* 1/2 (/ 1 x)))>
#<alt (- (+ 1/2 (/ 1/4 (pow x 3))) (* 1/2 (/ 1 x)))>
#<alt (- (+ 1/2 (/ 1/4 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 1/8 (/ 1 (pow x 5)))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/2 (/ 1 x)))>
#<alt (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))>
#<alt (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 1/8 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))>
#<alt (* -1 x)>
#<alt (* x (- (* 2 (pow x 2)) 1))>
#<alt (* x (- (* (pow x 2) (+ 2 (* -4 (pow x 2)))) 1))>
#<alt (* x (- (* (pow x 2) (+ 2 (* (pow x 2) (- (* 8 (pow x 2)) 4)))) 1))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)>
#<alt (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 1/8 (pow x 4)))) x)>
#<alt (/ (- (+ (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/8 (pow x 4)))) x)>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 1/8 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 1/8 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) x))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (pow x 2)) x)>
#<alt (/ (+ 1/2 (pow x 2)) x)>
#<alt (/ (+ 1/2 (pow x 2)) x)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (sqrt (/ 1 (pow x 3))) (sqrt -1/4)))>
#<alt (/ (- (pow x 2) (* (sqrt x) (sqrt -1/4))) (pow x 2))>
#<alt (/ (- (* (pow x 2) (+ 1 (* -1/4 (* (sqrt x) (/ 1 (sqrt -1/4)))))) (* (sqrt x) (sqrt -1/4))) (pow x 2))>
#<alt (/ (- (* (pow x 2) (+ 1 (* x (- (* -1/4 (* (sqrt x) (/ 1 (sqrt -1/4)))) (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1/4)))))))) (* (sqrt x) (sqrt -1/4))) (pow x 2))>
#<alt (- 1 (sqrt 1/2))>
#<alt (- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))>
#<alt (- (+ 1 (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))>
#<alt (- (+ 1 (+ (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))>
#<alt (- 1 (sqrt 1/2))>
#<alt (- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))>
#<alt (- (+ 1 (* -1 (/ (- (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x))) (sqrt 1/2))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (- 1/4 (* 1/64 (/ 1 (pow (sqrt 1/2) 4)))) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) (sqrt 1/2))>
#<alt (* (sqrt (/ 1 (pow x 3))) (sqrt -1/4))>
#<alt (/ (+ (* 1/4 (* (sqrt (pow x 5)) (/ 1 (sqrt -1/4)))) (* (sqrt x) (sqrt -1/4))) (pow x 2))>
#<alt (/ (+ (* (sqrt x) (sqrt -1/4)) (* (pow x 3) (+ (* 1/4 (* (sqrt x) (/ 1 (sqrt -1/4)))) (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1/4))))))) (pow x 2))>
#<alt (/ (+ (* (sqrt x) (sqrt -1/4)) (* (pow x 3) (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1/4)))) (* x (+ (* -1/32 (* (sqrt x) (/ 1 (pow (sqrt -1/4) 3)))) (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1/4))))))))) (pow x 2))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))>
#<alt (- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))>
#<alt (- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))>
#<alt (+ (sqrt 1/2) (* -1 (/ (- (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (sqrt 1/2)))) x)))>
#<alt (+ (sqrt 1/2) (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (- 1/4 (* 1/64 (/ 1 (pow (sqrt 1/2) 4)))) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))>
#<alt (/ -1/4 (pow x 3))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/4) (pow x 3))>
#<alt (/ (- (* (pow x 2) (+ 1/2 (* 1/2 x))) 1/4) (pow x 3))>
#<alt (/ (- (* (pow x 2) (+ 1/2 (* 1/2 x))) 1/4) (pow x 3))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ 1 x)))>
#<alt (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))>
#<alt (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ 1 x)))>
#<alt (+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))>
#<alt (+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))>
#<alt (/ -1/4 (pow x 3))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/4) (pow x 3))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/4) (pow x 3))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/4) (pow x 3))>
#<alt (/ 1/2 x)>
#<alt (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)>
#<alt (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)>
#<alt (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)>
#<alt (/ 1/2 x)>
#<alt (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x))>
#<alt (* 1/8 (pow x 2))>
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))>
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))>
#<alt (/ 512/69 (pow x 6))>
#<alt (/ (- 512/69 (* 512/69 (/ 1 x))) (pow x 6))>
#<alt (/ (- (+ 512/69 (/ 45056/4761 (pow x 2))) (* 512/69 (/ 1 x))) (pow x 6))>
#<alt (/ (- (+ 512/69 (/ 45056/4761 (pow x 2))) (+ (* 512/69 (/ 1 x)) (* 27392/4761 (/ 1 (pow x 3))))) (pow x 6))>
#<alt (/ 512/69 (pow x 6))>
#<alt (/ (+ 512/69 (* 512/69 (/ 1 x))) (pow x 6))>
#<alt (/ (+ 512/69 (+ (* 512/69 (/ 1 x)) (/ 45056/4761 (pow x 2)))) (pow x 6))>
#<alt (/ (+ 512/69 (* -1 (/ (- (* -1 (/ (+ 45056/4761 (* 27392/4761 (/ 1 x))) x)) 512/69) x))) (pow x 6))>
#<alt 2>
#<alt (+ 2 (* -1/8 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))>
#<alt (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))>
#<alt (* 69/1024 (pow x 6))>
#<alt (* (pow x 6) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 69/1024 (* -1 (/ (+ 11/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 69/1024 (* 10853/4761 (/ 1 (pow x 6)))) (+ (/ 1/8 (pow x 4)) (* 11/128 (/ 1 (pow x 2))))))>
#<alt (* 69/1024 (pow x 6))>
#<alt (* (pow x 6) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 69/1024 (* -1 (/ (+ 11/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 69/1024 (* 10853/4761 (/ 1 (pow x 6)))) (+ (/ 1/8 (pow x 4)) (* 11/128 (/ 1 (pow x 2))))))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* (pow x 2) (- (* 328509/3964928 (pow x 4)) 69/1024)))) 1/8))>
#<alt (* 69/1024 (pow x 6))>
#<alt (* (pow x 6) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 69/1024 (* -1 (/ (+ 11/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 69/1024 (* 1331/4761 (/ 1 (pow x 6)))) (+ (/ 1/8 (pow x 4)) (* 11/128 (/ 1 (pow x 2))))))>
#<alt (* 69/1024 (pow x 6))>
#<alt (* (pow x 6) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 69/1024 (* -1 (/ (+ 11/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 69/1024 (* 1331/4761 (/ 1 (pow x 6)))) (+ (/ 1/8 (pow x 4)) (* 11/128 (/ 1 (pow x 2))))))>
#<alt (* -1/8 x)>
#<alt (* x (- (* 11/128 (pow x 2)) 1/8))>
#<alt (* x (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8))>
#<alt (* x (- (* (pow x 2) (+ 11/128 (* (pow x 2) (- (* 328509/3964928 (pow x 4)) 69/1024)))) 1/8))>
#<alt (* 69/1024 (pow x 5))>
#<alt (* (pow x 5) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 69/1024 (* -1 (/ (+ 11/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 69/1024 (* 1331/4761 (/ 1 (pow x 6)))) (+ (/ 1/8 (pow x 4)) (* 11/128 (/ 1 (pow x 2))))))>
#<alt (* 69/1024 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 11/128 (/ 1 (pow x 2))) 69/1024)))>
#<alt (* -1 (* (pow x 5) (- (+ (/ 1/8 (pow x 4)) (* 11/128 (/ 1 (pow x 2)))) 69/1024)))>
#<alt (* -1 (* (pow x 5) (- (+ (/ 1/8 (pow x 4)) (* 11/128 (/ 1 (pow x 2)))) (+ 69/1024 (* 1331/4761 (/ 1 (pow x 6)))))))>
#<alt -1/4>
#<alt (- (* 1/4 (pow x 2)) 1/4)>
#<alt (- (* (pow x 2) (+ 1/4 (* -1/4 (pow x 2)))) 1/4)>
#<alt (- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/4)))) 1/4)>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ (- (* 1/4 (/ 1 (pow x 2))) 1/4) (pow x 2))>
#<alt (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/4 (/ 1/4 (pow x 4)))) (pow x 2))>
#<alt (/ (- (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))) (+ 1/4 (/ 1/4 (pow x 4)))) (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ (- (* 1/4 (/ 1 (pow x 2))) 1/4) (pow x 2))>
#<alt (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/4 (/ 1/4 (pow x 4)))) (pow x 2))>
#<alt (/ (- (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))) (+ 1/4 (/ 1/4 (pow x 4)))) (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (/ 1/2 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ -1/4 (pow x 2))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/4) (pow x 2))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/4) (pow x 2))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/4) (pow x 2))>
#<alt 1/2>
#<alt (- 1/2 (* 1/4 (/ 1 (pow x 2))))>
#<alt (- 1/2 (* 1/4 (/ 1 (pow x 2))))>
#<alt (- 1/2 (* 1/4 (/ 1 (pow x 2))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/4 (/ 1 (pow x 2))))>
#<alt (- 1/2 (* 1/4 (/ 1 (pow x 2))))>
#<alt (- 1/2 (* 1/4 (/ 1 (pow x 2))))>
#<alt (* 11/128 (pow x 2))>
#<alt (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2))))>
#<alt (* (pow x 2) (+ 11/128 (* (pow x 2) (- (* 328509/3964928 (pow x 4)) 69/1024))))>
#<alt (* (pow x 2) (+ 11/128 (* (pow x 2) (- (* (pow x 4) (+ 328509/3964928 (* -22667121/348913664 (pow x 2)))) 69/1024))))>
#<alt (* 69/1024 (pow x 4))>
#<alt (* (pow x 4) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 69/1024 (/ 1331/4761 (pow x 6))) (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 69/1024 (/ 1331/4761 (pow x 6))) (+ (* 11/128 (/ 1 (pow x 2))) (* 117128/328509 (/ 1 (pow x 8))))))>
#<alt (* 69/1024 (pow x 4))>
#<alt (* (pow x 4) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 69/1024 (/ 1331/4761 (pow x 6))) (* 11/128 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 69/1024 (/ 1331/4761 (pow x 6))) (+ (* 11/128 (/ 1 (pow x 2))) (* 117128/328509 (/ 1 (pow x 8))))))>
#<alt (* 759/131072 (pow x 2))>
#<alt (* (pow x 2) (+ 759/131072 (* 4761/1048576 (pow x 2))))>
#<alt (* (pow x 2) (+ 759/131072 (* 4761/1048576 (pow x 2))))>
#<alt (* (pow x 2) (+ 759/131072 (* 4761/1048576 (pow x 2))))>
#<alt (* 4761/1048576 (pow x 4))>
#<alt (* (pow x 4) (+ 4761/1048576 (* 759/131072 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 4761/1048576 (* 759/131072 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 4761/1048576 (* 759/131072 (/ 1 (pow x 2)))))>
#<alt (* 4761/1048576 (pow x 4))>
#<alt (* (pow x 4) (+ 4761/1048576 (* 759/131072 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 4761/1048576 (* 759/131072 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 4761/1048576 (* 759/131072 (/ 1 (pow x 2)))))>
#<alt (* 69/1024 (pow x 2))>
#<alt (* 69/1024 (pow x 2))>
#<alt (* 69/1024 (pow x 2))>
#<alt (* 69/1024 (pow x 2))>
#<alt (* 69/1024 (pow x 2))>
#<alt (* 69/1024 (pow x 2))>
#<alt (* 69/1024 (pow x 2))>
#<alt (* 69/1024 (pow x 2))>
#<alt (* 69/1024 (pow x 2))>
#<alt (* 69/1024 (pow x 2))>
#<alt (* 69/1024 (pow x 2))>
#<alt (* 69/1024 (pow x 2))>

Calls

72 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(* (* x (* x 69/1024)) (- (* x (* x 69/1024)) -11/128))
1.0ms	x	@	-inf	(sqrt (+ 1/2 (/ (+ 1/2 (/ -1/4 (* x x))) x)))
1.0ms	x	@	inf	(/ (+ 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) (+ 2 (* x (* x (+ -1/8 (/ (* (+ 1331/2097152 (* (* (* x x) (* x (* x (* x x)))) 328509/1073741824)) (* x x)) (+ 121/16384 (* (* x (* x 69/1024)) (- (* x (* x 69/1024)) -11/128)))))))))
1.0ms	x	@	0	(/ (+ (* (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1/4) (* (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) (/ -1/4 (+ 1 (* x x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))))
0.0ms	x	@	0	(- 1 (sqrt (+ 1/2 (/ (+ 1/2 (/ -1/4 (* x x))) x))))

rewrite421.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3184×	`fma-lowering-fma.f32`
3184×	`fma-lowering-fma.f64`
2704×	`-lowering-.f32`
2704×	`-lowering-.f64`
2004×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	58	393
1	400	344
2	3816	344
0	8207	344

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 495

Calls

Call 1

Inputs
(/ (+ (* (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1/4) (* (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) (/ -1/4 (+ 1 (* x x))))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x))))))))
(+ (* (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1/4) (* (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) (/ -1/4 (+ 1 (* x x)))))
(* (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) 1/4)
(* (/ 1 (+ 1/2 (/ 1/2 (sqrt (+ (* 1 1) (* x x)))))) (/ -1/4 (+ 1 (* x x))))
(/ (+ 1/2 (/ -1/2 (* x (+ 1 (/ 1/2 (* x x)))))) 2)
(+ 1/2 (/ -1/2 (* x (+ 1 (/ 1/2 (* x x))))))
(/ -1/2 (* x (+ 1 (/ 1/2 (* x x)))))
(* x (+ 1 (/ 1/2 (* x x))))
(- 1 (sqrt (+ 1/2 (/ (+ 1/2 (/ -1/4 (* x x))) x))))
(sqrt (+ 1/2 (/ (+ 1/2 (/ -1/4 (* x x))) x)))
(+ 1/2 (/ (+ 1/2 (/ -1/4 (* x x))) x))
(/ (+ 1/2 (/ -1/4 (* x x))) x)
(/ (+ 1/2 (/ -1/2 (sqrt (+ (* 1 1) (* x x))))) (+ 2 (* x (* x (+ -1/8 (/ (* (+ 1331/2097152 (* (* (* x x) (* x (* x (* x x)))) 328509/1073741824)) (* x x)) (+ 121/16384 (* (* x (* x 69/1024)) (- (* x (* x 69/1024)) -11/128)))))))))
(+ 2 (* x (* x (+ -1/8 (/ (* (+ 1331/2097152 (* (* (* x x) (* x (* x (* x x)))) 328509/1073741824)) (* x x)) (+ 121/16384 (* (* x (* x 69/1024)) (- (* x (* x 69/1024)) -11/128))))))))
(* x (* x (+ -1/8 (/ (* (+ 1331/2097152 (* (* (* x x) (* x (* x (* x x)))) 328509/1073741824)) (* x x)) (+ 121/16384 (* (* x (* x 69/1024)) (- (* x (* x 69/1024)) -11/128)))))))
(* x (+ -1/8 (/ (* (+ 1331/2097152 (* (* (* x x) (* x (* x (* x x)))) 328509/1073741824)) (* x x)) (+ 121/16384 (* (* x (* x 69/1024)) (- (* x (* x 69/1024)) -11/128))))))
(/ -1/4 (+ 1 (* x x)))
(/ 1/2 (* x x))
(* x x)
(/ -1/4 (* x x))
(+ 1/2 (/ -1/4 (* x x)))
(/ (* (+ 1331/2097152 (* (* (* x x) (* x (* x (* x x)))) 328509/1073741824)) (* x x)) (+ 121/16384 (* (* x (* x 69/1024)) (- (* x (* x 69/1024)) -11/128))))
(* (* x (* x 69/1024)) (- (* x (* x 69/1024)) -11/128))
(* x (* x 69/1024))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))))) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))))
(neg.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
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(.f64 (.f64 (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))) (-.f64 #s(literal 0 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (.f64 (.f64 x x) (.f64 #s(literal 69/1024 binary64) (+.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) #s(literal 11/128 binary64))))) #s(literal -121/16384 binary64))))
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(.f64 (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))))) (-.f64 #s(literal 14641/268435456 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4761/1048576 binary64)) (.f64 (+.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) #s(literal 11/128 binary64)) (+.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) #s(literal 11/128 binary64)))))) (-.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x x) (.f64 #s(literal 69/1024 binary64) (+.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) #s(literal 11/128 binary64))))))
(+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4761/1048576 binary64)) (.f64 (.f64 x (*.f64 x #s(literal 69/1024 binary64))) #s(literal 11/128 binary64)))
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(fma.f64 x (.f64 (.f64 x #s(literal 69/1024 binary64)) (.f64 x (.f64 x #s(literal 69/1024 binary64)))) (.f64 (.f64 x (*.f64 x #s(literal 69/1024 binary64))) #s(literal 11/128 binary64)))
(fma.f64 x (.f64 (.f64 x #s(literal 69/1024 binary64)) (.f64 x (.f64 x #s(literal 69/1024 binary64)))) (.f64 #s(literal 11/128 binary64) (.f64 x (*.f64 x #s(literal 69/1024 binary64)))))
(fma.f64 (.f64 x x) (.f64 (.f64 x #s(literal 69/1024 binary64)) (.f64 x #s(literal 69/1024 binary64))) (.f64 (.f64 x (*.f64 x #s(literal 69/1024 binary64))) #s(literal 11/128 binary64)))
(fma.f64 (.f64 x x) (.f64 (.f64 x #s(literal 69/1024 binary64)) (.f64 x #s(literal 69/1024 binary64))) (.f64 #s(literal 11/128 binary64) (.f64 x (*.f64 x #s(literal 69/1024 binary64)))))
(fma.f64 (.f64 x x) (.f64 #s(literal 69/1024 binary64) (.f64 x (.f64 x #s(literal 69/1024 binary64)))) (.f64 (.f64 x (*.f64 x #s(literal 69/1024 binary64))) #s(literal 11/128 binary64)))
(fma.f64 (.f64 x x) (.f64 #s(literal 69/1024 binary64) (.f64 x (.f64 x #s(literal 69/1024 binary64)))) (.f64 #s(literal 11/128 binary64) (.f64 x (*.f64 x #s(literal 69/1024 binary64)))))
(fma.f64 (.f64 x #s(literal 69/1024 binary64)) (.f64 x (.f64 x (.f64 x #s(literal 69/1024 binary64)))) (.f64 (.f64 x (*.f64 x #s(literal 69/1024 binary64))) #s(literal 11/128 binary64)))
(fma.f64 (.f64 x #s(literal 69/1024 binary64)) (.f64 x (.f64 x (.f64 x #s(literal 69/1024 binary64)))) (.f64 #s(literal 11/128 binary64) (.f64 x (*.f64 x #s(literal 69/1024 binary64)))))
(fma.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) (.f64 x (.f64 x #s(literal 69/1024 binary64))) (.f64 (.f64 x (*.f64 x #s(literal 69/1024 binary64))) #s(literal 11/128 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) (.f64 x (.f64 x #s(literal 69/1024 binary64))) (.f64 #s(literal 11/128 binary64) (.f64 x (*.f64 x #s(literal 69/1024 binary64)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4761/1048576 binary64) (.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) #s(literal 11/128 binary64)))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4761/1048576 binary64) (.f64 #s(literal 11/128 binary64) (.f64 x (.f64 x #s(literal 69/1024 binary64)))))
(fma.f64 (.f64 (.f64 x #s(literal 69/1024 binary64)) (.f64 x #s(literal 69/1024 binary64))) (.f64 x x) (.f64 (.f64 x (*.f64 x #s(literal 69/1024 binary64))) #s(literal 11/128 binary64)))
(fma.f64 (.f64 (.f64 x #s(literal 69/1024 binary64)) (.f64 x #s(literal 69/1024 binary64))) (.f64 x x) (.f64 #s(literal 11/128 binary64) (.f64 x (*.f64 x #s(literal 69/1024 binary64)))))
(fma.f64 (.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) (.f64 x #s(literal 69/1024 binary64))) x (.f64 (.f64 x (*.f64 x #s(literal 69/1024 binary64))) #s(literal 11/128 binary64)))
(fma.f64 (.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) (.f64 x #s(literal 69/1024 binary64))) x (.f64 #s(literal 11/128 binary64) (.f64 x (*.f64 x #s(literal 69/1024 binary64)))))
(fma.f64 (.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) x) (.f64 x #s(literal 69/1024 binary64)) (.f64 (.f64 x (*.f64 x #s(literal 69/1024 binary64))) #s(literal 11/128 binary64)))
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(fma.f64 (.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) (.f64 x x)) #s(literal 69/1024 binary64) (.f64 #s(literal 11/128 binary64) (.f64 x (*.f64 x #s(literal 69/1024 binary64)))))
(/.f64 (.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4761/1048576 binary64)) (+.f64 #s(literal 121/16384 binary64) (.f64 (*.f64 x x) #s(literal -759/131072 binary64)))))
(/.f64 (.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4761/1048576 binary64)) #s(literal -121/16384 binary64))) (+.f64 (.f64 x (*.f64 x #s(literal 69/1024 binary64))) #s(literal -11/128 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))) (.f64 x (.f64 x #s(literal 69/1024 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4761/1048576 binary64)) (+.f64 #s(literal 121/16384 binary64) (.f64 (*.f64 x x) #s(literal -759/131072 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 4761/1048576 binary64)) #s(literal -121/16384 binary64)) (.f64 x (.f64 x #s(literal 69/1024 binary64)))) (+.f64 (.f64 x (*.f64 x #s(literal 69/1024 binary64))) #s(literal -11/128 binary64)))
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(.f64 (.f64 x x) (.f64 #s(literal 69/1024 binary64) (+.f64 (.f64 x (*.f64 x #s(literal 69/1024 binary64))) #s(literal 11/128 binary64))))
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(.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) (+.f64 (.f64 x (*.f64 x #s(literal 69/1024 binary64))) #s(literal 11/128 binary64)))
(.f64 (+.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) #s(literal 11/128 binary64)) (.f64 x (*.f64 x #s(literal 69/1024 binary64))))
(.f64 (.f64 x (.f64 #s(literal 69/1024 binary64) (+.f64 (.f64 x (*.f64 x #s(literal 69/1024 binary64))) #s(literal 11/128 binary64)))) x)
(.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) #s(literal 11/128 binary64)) x) (*.f64 x #s(literal 69/1024 binary64)))
(.f64 (.f64 (+.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) #s(literal 11/128 binary64)) (*.f64 x x)) #s(literal 69/1024 binary64))
(.f64 x (.f64 x #s(literal 69/1024 binary64)))
(.f64 (.f64 x x) #s(literal 69/1024 binary64))
(.f64 #s(literal 69/1024 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 69/1024 binary64)) x)

simplify352.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

3602×	`-lowering-.f32`
3602×	`-lowering-.f64`
2442×	`+-lowering-+.f64`
2442×	`+-lowering-+.f32`
1880×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	565	3473
1	1849	3193
2	6238	3175
0	8430	3175

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(- (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2)))))))
(- (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 3) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (pow x 3) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2))))))))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))
(+ (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))) x)) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -35/256 (pow x 2)))) 3/16))))
1/2
(- 1/2 (* 1/2 (/ 1 x)))
(- (+ 1/2 (/ 1/4 (pow x 3))) (* 1/2 (/ 1 x)))
(- (+ 1/2 (/ 1/4 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5)))))
1/2
(+ 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)))
1/4
(+ 1/4 (* 1/16 (pow x 2)))
(+ 1/4 (* (pow x 2) (+ 1/16 (* -1/32 (pow x 2)))))
(+ 1/4 (* (pow x 2) (+ 1/16 (* (pow x 2) (- (* 5/256 (pow x 2)) 1/32)))))
1/2
(- 1/2 (* 1/2 (/ 1 x)))
(- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x)))
(- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3)))))
1/2
(+ 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (+ (/ 1/2 (pow x 2)) (* 1/2 (/ 1 x))))
(+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/4 (/ 1 x))) x)) 1/2) x)))
-1/4
(- (* 3/16 (pow x 2)) 1/4)
(- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)
(- (* (pow x 2) (+ 3/16 (* (pow x 2) (- (* 35/256 (pow x 2)) 5/32)))) 1/4)
(/ -1/2 (pow x 2))
(/ (- (* 1/2 (/ 1 x)) 1/2) (pow x 2))
(/ (- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1/4 (pow x 3)))) (pow x 2))
(/ (- (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5)))) (+ 1/2 (/ 1/4 (pow x 3)))) (pow x 2))
(/ -1/2 (pow x 2))
(* -1 (/ (+ 1/2 (* 1/2 (/ 1 x))) (pow x 2)))
(/ (- (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)) 1/2) (pow x 2))
(/ (- (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)) 1/2) (pow x 2))
1/4
(+ 1/4 (* -1/2 x))
(+ 1/4 (* x (- (pow x 2) 1/2)))
(+ 1/4 (* x (- (* (pow x 2) (+ 1 (* -2 (pow x 2)))) 1/2)))
1/4
(- 1/4 (* 1/4 (/ 1 x)))
(- (+ 1/4 (/ 1/8 (pow x 3))) (* 1/4 (/ 1 x)))
(- (+ 1/4 (/ 1/8 (pow x 3))) (+ (* 1/4 (/ 1 x)) (* 1/16 (/ 1 (pow x 5)))))
1/4
(- 1/4 (* 1/4 (/ 1 x)))
(+ 1/4 (* -1 (/ (- 1/4 (* 1/8 (/ 1 (pow x 2)))) x)))
(+ 1/4 (* -1 (/ (- (+ 1/4 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)))
1/2
(+ 1/2 (* -1 x))
(+ 1/2 (* x (- (* 2 (pow x 2)) 1)))
(+ 1/2 (* x (- (* (pow x 2) (+ 2 (* -4 (pow x 2)))) 1)))
1/2
(- 1/2 (* 1/2 (/ 1 x)))
(- (+ 1/2 (/ 1/4 (pow x 3))) (* 1/2 (/ 1 x)))
(- (+ 1/2 (/ 1/4 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 1/8 (/ 1 (pow x 5)))))
1/2
(- 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 1/8 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
(* -1 x)
(* x (- (* 2 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 2 (* -4 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 2 (* (pow x 2) (- (* 8 (pow x 2)) 4)))) 1))
(/ -1/2 x)
(/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 1/8 (pow x 4)))) x)
(/ (- (+ (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/8 (pow x 4)))) x)
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/8 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/8 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) x))
(/ 1/2 x)
(/ (+ 1/2 (pow x 2)) x)
(/ (+ 1/2 (pow x 2)) x)
(/ (+ 1/2 (pow x 2)) x)
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* -1 (* (sqrt (/ 1 (pow x 3))) (sqrt -1/4)))
(/ (- (pow x 2) (* (sqrt x) (sqrt -1/4))) (pow x 2))
(/ (- (* (pow x 2) (+ 1 (* -1/4 (* (sqrt x) (/ 1 (sqrt -1/4)))))) (* (sqrt x) (sqrt -1/4))) (pow x 2))
(/ (- (* (pow x 2) (+ 1 (* x (- (* -1/4 (* (sqrt x) (/ 1 (sqrt -1/4)))) (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1/4)))))))) (* (sqrt x) (sqrt -1/4))) (pow x 2))
(- 1 (sqrt 1/2))
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(- (+ 1 (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))
(- (+ 1 (+ (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))
(- 1 (sqrt 1/2))
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))
(- (+ 1 (* -1 (/ (- (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x))) (sqrt 1/2))
(- (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (- 1/4 (* 1/64 (/ 1 (pow (sqrt 1/2) 4)))) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) (sqrt 1/2))
(* (sqrt (/ 1 (pow x 3))) (sqrt -1/4))
(/ (+ (* 1/4 (* (sqrt (pow x 5)) (/ 1 (sqrt -1/4)))) (* (sqrt x) (sqrt -1/4))) (pow x 2))
(/ (+ (* (sqrt x) (sqrt -1/4)) (* (pow x 3) (+ (* 1/4 (* (sqrt x) (/ 1 (sqrt -1/4)))) (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1/4))))))) (pow x 2))
(/ (+ (* (sqrt x) (sqrt -1/4)) (* (pow x 3) (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1/4)))) (* x (+ (* -1/32 (* (sqrt x) (/ 1 (pow (sqrt -1/4) 3)))) (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1/4))))))))) (pow x 2))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))
(- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))
(+ (sqrt 1/2) (* -1 (/ (- (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (sqrt 1/2)))) x)))
(+ (sqrt 1/2) (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (- 1/4 (* 1/64 (/ 1 (pow (sqrt 1/2) 4)))) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))
(/ -1/4 (pow x 3))
(/ (- (* 1/2 (pow x 2)) 1/4) (pow x 3))
(/ (- (* (pow x 2) (+ 1/2 (* 1/2 x))) 1/4) (pow x 3))
(/ (- (* (pow x 2) (+ 1/2 (* 1/2 x))) 1/4) (pow x 3))
1/2
(+ 1/2 (* 1/2 (/ 1 x)))
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))
1/2
(+ 1/2 (* 1/2 (/ 1 x)))
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))
(/ -1/4 (pow x 3))
(/ (- (* 1/2 (pow x 2)) 1/4) (pow x 3))
(/ (- (* 1/2 (pow x 2)) 1/4) (pow x 3))
(/ (- (* 1/2 (pow x 2)) 1/4) (pow x 3))
(/ 1/2 x)
(/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)
(/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)
(/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)
(/ 1/2 x)
(* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x))
(* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x))
(* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x))
(* 1/8 (pow x 2))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
(/ 512/69 (pow x 6))
(/ (- 512/69 (* 512/69 (/ 1 x))) (pow x 6))
(/ (- (+ 512/69 (/ 45056/4761 (pow x 2))) (* 512/69 (/ 1 x))) (pow x 6))
(/ (- (+ 512/69 (/ 45056/4761 (pow x 2))) (+ (* 512/69 (/ 1 x)) (* 27392/4761 (/ 1 (pow x 3))))) (pow x 6))
(/ 512/69 (pow x 6))
(/ (+ 512/69 (* 512/69 (/ 1 x))) (pow x 6))
(/ (+ 512/69 (+ (* 512/69 (/ 1 x)) (/ 45056/4761 (pow x 2)))) (pow x 6))
(/ (+ 512/69 (* -1 (/ (- (* -1 (/ (+ 45056/4761 (* 27392/4761 (/ 1 x))) x)) 512/69) x))) (pow x 6))
2
(+ 2 (* -1/8 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))
(* 69/1024 (pow x 6))
(* (pow x 6) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 69/1024 (* -1 (/ (+ 11/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 6) (- (+ 69/1024 (* 10853/4761 (/ 1 (pow x 6)))) (+ (/ 1/8 (pow x 4)) (* 11/128 (/ 1 (pow x 2))))))
(* 69/1024 (pow x 6))
(* (pow x 6) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 69/1024 (* -1 (/ (+ 11/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 6) (- (+ 69/1024 (* 10853/4761 (/ 1 (pow x 6)))) (+ (/ 1/8 (pow x 4)) (* 11/128 (/ 1 (pow x 2))))))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 11/128 (pow x 2)) 1/8))
(* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8))
(* (pow x 2) (- (* (pow x 2) (+ 11/128 (* (pow x 2) (- (* 328509/3964928 (pow x 4)) 69/1024)))) 1/8))
(* 69/1024 (pow x 6))
(* (pow x 6) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 69/1024 (* -1 (/ (+ 11/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 6) (- (+ 69/1024 (* 1331/4761 (/ 1 (pow x 6)))) (+ (/ 1/8 (pow x 4)) (* 11/128 (/ 1 (pow x 2))))))
(* 69/1024 (pow x 6))
(* (pow x 6) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 69/1024 (* -1 (/ (+ 11/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 6) (- (+ 69/1024 (* 1331/4761 (/ 1 (pow x 6)))) (+ (/ 1/8 (pow x 4)) (* 11/128 (/ 1 (pow x 2))))))
(* -1/8 x)
(* x (- (* 11/128 (pow x 2)) 1/8))
(* x (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8))
(* x (- (* (pow x 2) (+ 11/128 (* (pow x 2) (- (* 328509/3964928 (pow x 4)) 69/1024)))) 1/8))
(* 69/1024 (pow x 5))
(* (pow x 5) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 69/1024 (* -1 (/ (+ 11/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 5) (- (+ 69/1024 (* 1331/4761 (/ 1 (pow x 6)))) (+ (/ 1/8 (pow x 4)) (* 11/128 (/ 1 (pow x 2))))))
(* 69/1024 (pow x 5))
(* -1 (* (pow x 5) (- (* 11/128 (/ 1 (pow x 2))) 69/1024)))
(* -1 (* (pow x 5) (- (+ (/ 1/8 (pow x 4)) (* 11/128 (/ 1 (pow x 2)))) 69/1024)))
(* -1 (* (pow x 5) (- (+ (/ 1/8 (pow x 4)) (* 11/128 (/ 1 (pow x 2)))) (+ 69/1024 (* 1331/4761 (/ 1 (pow x 6)))))))
-1/4
(- (* 1/4 (pow x 2)) 1/4)
(- (* (pow x 2) (+ 1/4 (* -1/4 (pow x 2)))) 1/4)
(- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/4)))) 1/4)
(/ -1/4 (pow x 2))
(/ (- (* 1/4 (/ 1 (pow x 2))) 1/4) (pow x 2))
(/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/4 (/ 1/4 (pow x 4)))) (pow x 2))
(/ (- (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))) (+ 1/4 (/ 1/4 (pow x 4)))) (pow x 2))
(/ -1/4 (pow x 2))
(/ (- (* 1/4 (/ 1 (pow x 2))) 1/4) (pow x 2))
(/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/4 (/ 1/4 (pow x 4)))) (pow x 2))
(/ (- (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))) (+ 1/4 (/ 1/4 (pow x 4)))) (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(/ 1/2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ -1/4 (pow x 2))
(/ (- (* 1/2 (pow x 2)) 1/4) (pow x 2))
(/ (- (* 1/2 (pow x 2)) 1/4) (pow x 2))
(/ (- (* 1/2 (pow x 2)) 1/4) (pow x 2))
1/2
(- 1/2 (* 1/4 (/ 1 (pow x 2))))
(- 1/2 (* 1/4 (/ 1 (pow x 2))))
(- 1/2 (* 1/4 (/ 1 (pow x 2))))
1/2
(- 1/2 (* 1/4 (/ 1 (pow x 2))))
(- 1/2 (* 1/4 (/ 1 (pow x 2))))
(- 1/2 (* 1/4 (/ 1 (pow x 2))))
(* 11/128 (pow x 2))
(* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2))))
(* (pow x 2) (+ 11/128 (* (pow x 2) (- (* 328509/3964928 (pow x 4)) 69/1024))))
(* (pow x 2) (+ 11/128 (* (pow x 2) (- (* (pow x 4) (+ 328509/3964928 (* -22667121/348913664 (pow x 2)))) 69/1024))))
(* 69/1024 (pow x 4))
(* (pow x 4) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 69/1024 (/ 1331/4761 (pow x 6))) (* 11/128 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 69/1024 (/ 1331/4761 (pow x 6))) (+ (* 11/128 (/ 1 (pow x 2))) (* 117128/328509 (/ 1 (pow x 8))))))
(* 69/1024 (pow x 4))
(* (pow x 4) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 69/1024 (/ 1331/4761 (pow x 6))) (* 11/128 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 69/1024 (/ 1331/4761 (pow x 6))) (+ (* 11/128 (/ 1 (pow x 2))) (* 117128/328509 (/ 1 (pow x 8))))))
(* 759/131072 (pow x 2))
(* (pow x 2) (+ 759/131072 (* 4761/1048576 (pow x 2))))
(* (pow x 2) (+ 759/131072 (* 4761/1048576 (pow x 2))))
(* (pow x 2) (+ 759/131072 (* 4761/1048576 (pow x 2))))
(* 4761/1048576 (pow x 4))
(* (pow x 4) (+ 4761/1048576 (* 759/131072 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 4761/1048576 (* 759/131072 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 4761/1048576 (* 759/131072 (/ 1 (pow x 2)))))
(* 4761/1048576 (pow x 4))
(* (pow x 4) (+ 4761/1048576 (* 759/131072 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 4761/1048576 (* 759/131072 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 4761/1048576 (* 759/131072 (/ 1 (pow x 2)))))
(* 69/1024 (pow x 2))
(* 69/1024 (pow x 2))
(* 69/1024 (pow x 2))
(* 69/1024 (pow x 2))
(* 69/1024 (pow x 2))
(* 69/1024 (pow x 2))
(* 69/1024 (pow x 2))
(* 69/1024 (pow x 2))
(* 69/1024 (pow x 2))
(* 69/1024 (pow x 2))
(* 69/1024 (pow x 2))
(* 69/1024 (pow x 2))

Outputs
(* 1/8 (pow x 2))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -11/128 binary64)))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) #s(literal 69/1024 binary64)))))))
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 69/1024 binary64) (.f64 (.f64 x x) #s(literal -1843/32768 binary64))))))))
(/ 1/2 (+ 1 (sqrt 1/2)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x))
(- (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2)))))))
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/4 binary64))))) (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x))) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal -1/4 binary64)) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))
(- (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 3) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (pow x 3) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2))))))))))
(+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x (.f64 x x))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/4 binary64))))) (+.f64 (+.f64 (+.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal -1/4 binary64)) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 1/32 binary64)) (.f64 (.f64 x x) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/4 binary64)))))) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) (/.f64 #s(literal -3/64 binary64) (.f64 (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x (.f64 x x)))))) (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/4 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))))
(/ 1/2 (+ 1 (sqrt 1/2)))
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(.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (+.f64 #s(literal 11/128 binary64) (.f64 (*.f64 x x) #s(literal -69/1024 binary64)))))))
(* x (- (* (pow x 2) (+ 11/128 (* (pow x 2) (- (* 328509/3964928 (pow x 4)) 69/1024)))) 1/8))
(.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (+.f64 #s(literal 11/128 binary64) (.f64 x (.f64 x (+.f64 #s(literal -69/1024 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 328509/3964928 binary64))))))))))
(* 69/1024 (pow x 5))
(*.f64 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 69/1024 binary64) (/.f64 #s(literal -11/128 binary64) (.f64 x x))))
(* (pow x 5) (+ 69/1024 (* -1 (/ (+ 11/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 69/1024 binary64) (/.f64 (+.f64 #s(literal -11/128 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 5) (- (+ 69/1024 (* 1331/4761 (/ 1 (pow x 6)))) (+ (/ 1/8 (pow x 4)) (* 11/128 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1331/4761 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 69/1024 binary64) (/.f64 #s(literal -11/128 binary64) (.f64 x x)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* 69/1024 (pow x 5))
(*.f64 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 11/128 (/ 1 (pow x 2))) 69/1024)))
(.f64 (+.f64 #s(literal -69/1024 binary64) (/.f64 #s(literal 11/128 binary64) (.f64 x x))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 5 binary64))))
(* -1 (* (pow x 5) (- (+ (/ 1/8 (pow x 4)) (* 11/128 (/ 1 (pow x 2)))) 69/1024)))
(.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal -69/1024 binary64) (/.f64 #s(literal 11/128 binary64) (.f64 x x)))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 5 binary64))))
(* -1 (* (pow x 5) (- (+ (/ 1/8 (pow x 4)) (* 11/128 (/ 1 (pow x 2)))) (+ 69/1024 (* 1331/4761 (/ 1 (pow x 6)))))))
(.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 11/128 binary64) (.f64 x x)) (+.f64 #s(literal 69/1024 binary64) (/.f64 #s(literal 1331/4761 binary64) (pow.f64 x #s(literal 6 binary64)))))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 5 binary64))))
-1/4
#s(literal -1/4 binary64)
(- (* 1/4 (pow x 2)) 1/4)
(+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64))))
(- (* (pow x 2) (+ 1/4 (* -1/4 (pow x 2)))) 1/4)
(+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/4 binary64))))))
(- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/4 (pow x 2)) 1/4)))) 1/4)
(+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal 1/4 binary64)))))))))
(/ -1/4 (pow x 2))
(/.f64 #s(literal -1/4 binary64) (*.f64 x x))
(/ (- (* 1/4 (/ 1 (pow x 2))) 1/4) (pow x 2))
(/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/4 (/ 1/4 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 x x))
(/ (- (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))) (+ 1/4 (/ 1/4 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))))) (.f64 x x))
(/ -1/4 (pow x 2))
(/.f64 #s(literal -1/4 binary64) (*.f64 x x))
(/ (- (* 1/4 (/ 1 (pow x 2))) 1/4) (pow x 2))
(/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/4 (/ 1/4 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 x x))
(/ (- (+ (* 1/4 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))) (+ 1/4 (/ 1/4 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))))) (.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ -1/4 (pow x 2))
(/.f64 #s(literal -1/4 binary64) (*.f64 x x))
(/ -1/4 (pow x 2))
(/.f64 #s(literal -1/4 binary64) (*.f64 x x))
(/ -1/4 (pow x 2))
(/.f64 #s(literal -1/4 binary64) (*.f64 x x))
(/ -1/4 (pow x 2))
(/.f64 #s(literal -1/4 binary64) (*.f64 x x))
(/ -1/4 (pow x 2))
(/.f64 #s(literal -1/4 binary64) (*.f64 x x))
(/ -1/4 (pow x 2))
(/.f64 #s(literal -1/4 binary64) (*.f64 x x))
(/ -1/4 (pow x 2))
(/.f64 #s(literal -1/4 binary64) (*.f64 x x))
(/ -1/4 (pow x 2))
(/.f64 #s(literal -1/4 binary64) (*.f64 x x))
(/ -1/4 (pow x 2))
(/.f64 #s(literal -1/4 binary64) (*.f64 x x))
(/ -1/4 (pow x 2))
(/.f64 #s(literal -1/4 binary64) (*.f64 x x))
(/ -1/4 (pow x 2))
(/.f64 #s(literal -1/4 binary64) (*.f64 x x))
(/ -1/4 (pow x 2))
(/.f64 #s(literal -1/4 binary64) (*.f64 x x))
(/ -1/4 (pow x 2))
(/.f64 #s(literal -1/4 binary64) (*.f64 x x))
(/ (- (* 1/2 (pow x 2)) 1/4) (pow x 2))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(/ (- (* 1/2 (pow x 2)) 1/4) (pow x 2))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(/ (- (* 1/2 (pow x 2)) 1/4) (pow x 2))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
1/2
#s(literal 1/2 binary64)
(- 1/2 (* 1/4 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(- 1/2 (* 1/4 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(- 1/2 (* 1/4 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
1/2
#s(literal 1/2 binary64)
(- 1/2 (* 1/4 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(- 1/2 (* 1/4 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(- 1/2 (* 1/4 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(* 11/128 (pow x 2))
(.f64 x (.f64 x #s(literal 11/128 binary64)))
(* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))
(* (pow x 2) (+ 11/128 (* (pow x 2) (- (* 328509/3964928 (pow x 4)) 69/1024))))
(.f64 x (.f64 x (+.f64 #s(literal 11/128 binary64) (.f64 x (.f64 x (+.f64 #s(literal -69/1024 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 328509/3964928 binary64))))))))
(* (pow x 2) (+ 11/128 (* (pow x 2) (- (* (pow x 4) (+ 328509/3964928 (* -22667121/348913664 (pow x 2)))) 69/1024))))
(.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 x (.f64 x (+.f64 #s(literal -69/1024 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 328509/3964928 binary64) (.f64 (*.f64 x x) #s(literal -22667121/348913664 binary64)))))))))
(* 69/1024 (pow x 4))
(*.f64 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 69/1024 binary64) (/.f64 #s(literal -11/128 binary64) (.f64 x x))))
(* (pow x 4) (- (+ 69/1024 (/ 1331/4761 (pow x 6))) (* 11/128 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1331/4761 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 69/1024 binary64) (/.f64 #s(literal -11/128 binary64) (.f64 x x)))))
(* (pow x 4) (- (+ 69/1024 (/ 1331/4761 (pow x 6))) (+ (* 11/128 (/ 1 (pow x 2))) (* 117128/328509 (/ 1 (pow x 8))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (+.f64 #s(literal 69/1024 binary64) (/.f64 #s(literal 1331/4761 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal -11/128 binary64) (.f64 x x)) (/.f64 #s(literal 117128/328509 binary64) (pow.f64 x #s(literal 8 binary64))))))
(* 69/1024 (pow x 4))
(*.f64 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 69/1024 binary64) (/.f64 #s(literal -11/128 binary64) (.f64 x x))))
(* (pow x 4) (- (+ 69/1024 (/ 1331/4761 (pow x 6))) (* 11/128 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1331/4761 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 69/1024 binary64) (/.f64 #s(literal -11/128 binary64) (.f64 x x)))))
(* (pow x 4) (- (+ 69/1024 (/ 1331/4761 (pow x 6))) (+ (* 11/128 (/ 1 (pow x 2))) (* 117128/328509 (/ 1 (pow x 8))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (+.f64 #s(literal 69/1024 binary64) (/.f64 #s(literal 1331/4761 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal -11/128 binary64) (.f64 x x)) (/.f64 #s(literal 117128/328509 binary64) (pow.f64 x #s(literal 8 binary64))))))
(* 759/131072 (pow x 2))
(.f64 x (.f64 x #s(literal 759/131072 binary64)))
(* (pow x 2) (+ 759/131072 (* 4761/1048576 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 759/131072 binary64) (.f64 (.f64 x x) #s(literal 4761/1048576 binary64))))
(* (pow x 2) (+ 759/131072 (* 4761/1048576 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 759/131072 binary64) (.f64 (.f64 x x) #s(literal 4761/1048576 binary64))))
(* (pow x 2) (+ 759/131072 (* 4761/1048576 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 759/131072 binary64) (.f64 (.f64 x x) #s(literal 4761/1048576 binary64))))
(* 4761/1048576 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4761/1048576 binary64))
(* (pow x 4) (+ 4761/1048576 (* 759/131072 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 4761/1048576 binary64) (/.f64 #s(literal 759/131072 binary64) (.f64 x x))))
(* (pow x 4) (+ 4761/1048576 (* 759/131072 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 4761/1048576 binary64) (/.f64 #s(literal 759/131072 binary64) (.f64 x x))))
(* (pow x 4) (+ 4761/1048576 (* 759/131072 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 4761/1048576 binary64) (/.f64 #s(literal 759/131072 binary64) (.f64 x x))))
(* 4761/1048576 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4761/1048576 binary64))
(* (pow x 4) (+ 4761/1048576 (* 759/131072 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 4761/1048576 binary64) (/.f64 #s(literal 759/131072 binary64) (.f64 x x))))
(* (pow x 4) (+ 4761/1048576 (* 759/131072 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 4761/1048576 binary64) (/.f64 #s(literal 759/131072 binary64) (.f64 x x))))
(* (pow x 4) (+ 4761/1048576 (* 759/131072 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 4761/1048576 binary64) (/.f64 #s(literal 759/131072 binary64) (.f64 x x))))
(* 69/1024 (pow x 2))
(.f64 (.f64 x x) #s(literal 69/1024 binary64))
(* 69/1024 (pow x 2))
(.f64 (.f64 x x) #s(literal 69/1024 binary64))
(* 69/1024 (pow x 2))
(.f64 (.f64 x x) #s(literal 69/1024 binary64))
(* 69/1024 (pow x 2))
(.f64 (.f64 x x) #s(literal 69/1024 binary64))
(* 69/1024 (pow x 2))
(.f64 (.f64 x x) #s(literal 69/1024 binary64))
(* 69/1024 (pow x 2))
(.f64 (.f64 x x) #s(literal 69/1024 binary64))
(* 69/1024 (pow x 2))
(.f64 (.f64 x x) #s(literal 69/1024 binary64))
(* 69/1024 (pow x 2))
(.f64 (.f64 x x) #s(literal 69/1024 binary64))
(* 69/1024 (pow x 2))
(.f64 (.f64 x x) #s(literal 69/1024 binary64))
(* 69/1024 (pow x 2))
(.f64 (.f64 x x) #s(literal 69/1024 binary64))
(* 69/1024 (pow x 2))
(.f64 (.f64 x x) #s(literal 69/1024 binary64))
(* 69/1024 (pow x 2))
(.f64 (.f64 x x) #s(literal 69/1024 binary64))

eval154.0ms (0.9%)

Compiler: Compiled 34109 to 3209 computations (90.6% saved)

prune149.0ms (0.9%)

Pruning

40 alts after pruning (30 fresh and 10 done)

	Pruned	Kept	Total
New	881	8	889
Fresh	3	22	25
Picked	3	2	5
Done	0	8	8
Total	887	40	927

Accuracy

100.0%

Counts

927 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
	98.3%	(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) x)))))
	99.9%	(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
	4.1%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64))))))
	1.9%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))) (.f64 x x)) (+.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 759/131072 binary64) (.f64 (.f64 x x) #s(literal 4761/1048576 binary64)))))))))))
	2.5%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))) (.f64 x x)) (+.f64 #s(literal 121/16384 binary64) (.f64 x (.f64 x #s(literal 759/131072 binary64))))))))))
✓	3.6%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
	3.1%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
✓	99.9%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
	22.7%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))) #s(literal 2 binary64))
	22.8%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) #s(literal 2 binary64))
	22.8%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
	3.5%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))))))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
	22.8%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))))))) #s(literal 2 binary64))
	3.3%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
	99.9%	(/.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))))) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x x))))) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
✓	99.9%	(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
	3.6%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 x (.f64 x #s(literal -69/1024 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))))))
	97.1%	(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
	98.4%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
✓	1.1%	(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64)))))))
	4.5%	(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
✓	96.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))))
	96.9%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (.f64 x x)))) x))))
✓	98.4%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
	96.5%	(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
✓	95.6%	(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
	22.6%	(-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))
	97.7%	(+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
✓	96.2%	(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
	22.6%	(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) x))
	1.9%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))))) (+.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x x) (.f64 #s(literal 69/1024 binary64) (+.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) #s(literal 11/128 binary64)))))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
	3.6%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 x (*.f64 x #s(literal -69/1024 binary64))))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
	1.2%	(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 69/1024 binary64) (.f64 (.f64 x x) #s(literal -1843/32768 binary64))))))))
✓	3.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) #s(literal 69/1024 binary64))))))
	1.1%	(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -11/128 binary64))))
	4.5%	(.f64 (.f64 x x) #s(literal 1/8 binary64))
✓	22.6%	#s(literal 1/4 binary64)

Compiler

Compiled 2275 to 859 computations (62.2% saved)

regimes158.0ms (0.9%)

Counts

57 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/4 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -11/128 binary64))))
(+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))) #s(literal 2 binary64))
(+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64))))) x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64)))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) #s(literal 2 binary64))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) #s(literal 69/1024 binary64))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 69/1024 binary64) (.f64 (.f64 x x) #s(literal -1843/32768 binary64))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))))))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (.f64 x x)))) x))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) x)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 x (*.f64 x #s(literal -69/1024 binary64))))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 x (.f64 x #s(literal -69/1024 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))) (.f64 x x)) (+.f64 #s(literal 121/16384 binary64) (.f64 x (.f64 x #s(literal 759/131072 binary64))))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))) (.f64 x x)) (+.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 759/131072 binary64) (.f64 (.f64 x x) #s(literal 4761/1048576 binary64)))))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))) (.f64 x x)) (+.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 69/1024 binary64))) #s(literal -11/128 binary64))))))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))))) (+.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x x) (.f64 #s(literal 69/1024 binary64) (+.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) #s(literal 11/128 binary64)))))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))))
(/.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))))) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x x))))) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1/4 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))

Outputs

(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Calls

7 calls:

45.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
26.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
20.0ms	x
17.0ms	(hypot.f64 #s(literal 1 binary64) x)
17.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
99.9%	1	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
99.9%	1	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.9%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.9%	1	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.9%	1	`(hypot.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 54 to 37 computations (31.5% saved)

regimes125.0ms (0.7%)

Counts

52 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/4 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -11/128 binary64))))
(+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))) #s(literal 2 binary64))
(+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64))))) x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64)))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) #s(literal 2 binary64))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) #s(literal 69/1024 binary64))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 69/1024 binary64) (.f64 (.f64 x x) #s(literal -1843/32768 binary64))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))))))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (.f64 x x)))) x))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) x)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 x (*.f64 x #s(literal -69/1024 binary64))))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 x (.f64 x #s(literal -69/1024 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))) (.f64 x x)) (+.f64 #s(literal 121/16384 binary64) (.f64 x (.f64 x #s(literal 759/131072 binary64))))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))) (.f64 x x)) (+.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 759/131072 binary64) (.f64 (.f64 x x) #s(literal 4761/1048576 binary64)))))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))) (.f64 x x)) (+.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 69/1024 binary64))) #s(literal -11/128 binary64))))))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))))) (+.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x x) (.f64 #s(literal 69/1024 binary64) (+.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) #s(literal 11/128 binary64)))))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))))
(/.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))))) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x x))))) (.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Outputs

(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Calls

7 calls:

30.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
20.0ms	x
15.0ms	(hypot.f64 #s(literal 1 binary64) x)
14.0ms	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
14.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
99.9%	1	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
99.9%	1	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.9%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.9%	1	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.9%	1	`(hypot.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 54 to 37 computations (31.5% saved)

regimes268.0ms (1.6%)

Counts

48 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/4 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -11/128 binary64))))
(+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))) #s(literal 2 binary64))
(+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64))))) x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64)))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) #s(literal 2 binary64))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) #s(literal 69/1024 binary64))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 69/1024 binary64) (.f64 (.f64 x x) #s(literal -1843/32768 binary64))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))))))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (.f64 x x)))) x))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) x)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 x (*.f64 x #s(literal -69/1024 binary64))))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 x (.f64 x #s(literal -69/1024 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))) (.f64 x x)) (+.f64 #s(literal 121/16384 binary64) (.f64 x (.f64 x #s(literal 759/131072 binary64))))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))) (.f64 x x)) (+.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 759/131072 binary64) (.f64 (.f64 x x) #s(literal 4761/1048576 binary64)))))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))) (.f64 x x)) (+.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 69/1024 binary64))) #s(literal -11/128 binary64))))))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))))) (+.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x x) (.f64 #s(literal 69/1024 binary64) (+.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) #s(literal 11/128 binary64)))))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Outputs

(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Calls

7 calls:

163.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
32.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
19.0ms	x
14.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
13.0ms	(hypot.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
99.9%	1	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
99.9%	1	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.9%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.9%	1	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.9%	1	`(hypot.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 54 to 37 computations (31.5% saved)

regimes96.0ms (0.6%)

Counts

47 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/4 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -11/128 binary64))))
(+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))) #s(literal 2 binary64))
(+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64))))) x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64)))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) #s(literal 2 binary64))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) #s(literal 69/1024 binary64))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 69/1024 binary64) (.f64 (.f64 x x) #s(literal -1843/32768 binary64))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))))))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (.f64 x x)))) x))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) x)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 x (*.f64 x #s(literal -69/1024 binary64))))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 x (.f64 x #s(literal -69/1024 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))) (.f64 x x)) (+.f64 #s(literal 121/16384 binary64) (.f64 x (.f64 x #s(literal 759/131072 binary64))))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))) (.f64 x x)) (+.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 759/131072 binary64) (.f64 (.f64 x x) #s(literal 4761/1048576 binary64)))))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))) (.f64 x x)) (+.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 69/1024 binary64))) #s(literal -11/128 binary64))))))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))))) (+.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x x) (.f64 #s(literal 69/1024 binary64) (+.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) #s(literal 11/128 binary64)))))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))

Outputs

(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))

Calls

7 calls:

17.0ms	(hypot.f64 #s(literal 1 binary64) x)
14.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
14.0ms	x
13.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
12.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
99.9%	1	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
99.9%	1	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.9%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.9%	1	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.9%	1	`(hypot.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 54 to 37 computations (31.5% saved)

regimes123.0ms (0.7%)

Counts

46 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/4 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -11/128 binary64))))
(+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))) #s(literal 2 binary64))
(+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64))))) x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64)))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) #s(literal 2 binary64))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) #s(literal 69/1024 binary64))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 69/1024 binary64) (.f64 (.f64 x x) #s(literal -1843/32768 binary64))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))))))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (.f64 x x)))) x))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) x)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 x (*.f64 x #s(literal -69/1024 binary64))))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 x (.f64 x #s(literal -69/1024 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))) (.f64 x x)) (+.f64 #s(literal 121/16384 binary64) (.f64 x (.f64 x #s(literal 759/131072 binary64))))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))) (.f64 x x)) (+.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 759/131072 binary64) (.f64 (.f64 x x) #s(literal 4761/1048576 binary64)))))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))) (.f64 x x)) (+.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 69/1024 binary64))) #s(literal -11/128 binary64))))))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))))) (+.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x x) (.f64 #s(literal 69/1024 binary64) (+.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) #s(literal 11/128 binary64)))))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))

Outputs

(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Calls

7 calls:

28.0ms	(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
17.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
16.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
13.0ms	(hypot.f64 #s(literal 1 binary64) x)
13.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
99.9%	1	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
99.9%	1	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
99.9%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
99.9%	1	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
99.9%	1	`(hypot.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 54 to 37 computations (31.5% saved)

regimes122.0ms (0.7%)

Counts

44 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/4 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -11/128 binary64))))
(+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))) #s(literal 2 binary64))
(+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64))))) x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64)))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) #s(literal 2 binary64))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) #s(literal 69/1024 binary64))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 69/1024 binary64) (.f64 (.f64 x x) #s(literal -1843/32768 binary64))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))))))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (.f64 x x)))) x))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) x)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 x (*.f64 x #s(literal -69/1024 binary64))))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 x (.f64 x #s(literal -69/1024 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))) (.f64 x x)) (+.f64 #s(literal 121/16384 binary64) (.f64 x (.f64 x #s(literal 759/131072 binary64))))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))) (.f64 x x)) (+.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 759/131072 binary64) (.f64 (.f64 x x) #s(literal 4761/1048576 binary64)))))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))) (.f64 x x)) (+.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 69/1024 binary64))) #s(literal -11/128 binary64))))))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))))) (+.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x x) (.f64 #s(literal 69/1024 binary64) (+.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) #s(literal 11/128 binary64)))))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Outputs
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))

Calls

7 calls:

31.0ms	x
26.0ms	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
17.0ms	(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
12.0ms	(hypot.f64 #s(literal 1 binary64) x)
10.0ms	(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))`
98.4%	1	`(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))`
98.4%	1	`(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))`
98.4%	1	`(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))`
98.4%	1	`(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))`
98.4%	1	`(hypot.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 54 to 37 computations (31.5% saved)

regimes46.0ms (0.3%)

Counts

38 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/4 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -11/128 binary64))))
(+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))) #s(literal 2 binary64))
(+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64))))) x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64)))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) #s(literal 2 binary64))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) #s(literal 69/1024 binary64))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 69/1024 binary64) (.f64 (.f64 x x) #s(literal -1843/32768 binary64))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))))))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (.f64 x x)))) x))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) x)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 x (*.f64 x #s(literal -69/1024 binary64))))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 x (.f64 x #s(literal -69/1024 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))) (.f64 x x)) (+.f64 #s(literal 121/16384 binary64) (.f64 x (.f64 x #s(literal 759/131072 binary64))))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))) (.f64 x x)) (+.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 759/131072 binary64) (.f64 (.f64 x x) #s(literal 4761/1048576 binary64)))))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))) (.f64 x x)) (+.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 69/1024 binary64))) #s(literal -11/128 binary64))))))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1331/2097152 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 328509/1073741824 binary64))))) (+.f64 #s(literal 121/16384 binary64) (.f64 (.f64 x x) (.f64 #s(literal 69/1024 binary64) (+.f64 (.f64 x (.f64 x #s(literal 69/1024 binary64))) #s(literal 11/128 binary64)))))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))

Outputs

(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x)))))

Calls

2 calls:

32.0ms	x
11.0ms	(hypot.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
98.3%	1	`x`
98.3%	1	`(hypot.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes25.0ms (0.1%)

Counts

30 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/4 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -11/128 binary64))))
(+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))) #s(literal 2 binary64))
(+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64))))) x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64)))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) #s(literal 2 binary64))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) #s(literal 69/1024 binary64))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 69/1024 binary64) (.f64 (.f64 x x) #s(literal -1843/32768 binary64))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))))))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (.f64 x x)))) x))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))

Outputs
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))

Calls

2 calls:

14.0ms	x
9.0ms	(hypot.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
97.1%	1	`x`
97.1%	1	`(hypot.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

22 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/4 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -11/128 binary64))))
(+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))) #s(literal 2 binary64))
(+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64))))) x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64)))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) #s(literal 2 binary64))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) #s(literal 69/1024 binary64))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 69/1024 binary64) (.f64 (.f64 x x) #s(literal -1843/32768 binary64))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))))))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))

Outputs
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
95.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.1%)

Counts

21 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/4 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -11/128 binary64))))
(+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))) #s(literal 2 binary64))
(+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64))))) x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64)))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) #s(literal 2 binary64))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) #s(literal 69/1024 binary64))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 69/1024 binary64) (.f64 (.f64 x x) #s(literal -1843/32768 binary64))))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))))))) (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))

Outputs

(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))))))))) #s(literal 2 binary64))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
22.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0%)

Counts

19 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/4 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -11/128 binary64))))
(+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))) #s(literal 2 binary64))
(+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64))))) x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64)))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) #s(literal 2 binary64))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) #s(literal 69/1024 binary64))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 11/128 binary64) (.f64 (.f64 x x) #s(literal -69/1024 binary64)))))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 69/1024 binary64) (.f64 (.f64 x x) #s(literal -1843/32768 binary64))))))))

Outputs

(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))))) #s(literal 2 binary64))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
22.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0%)

Counts

16 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/4 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -11/128 binary64))))
(+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))) #s(literal 2 binary64))
(+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64))))) x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 11/128 binary64)))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) #s(literal 2 binary64))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -11/128 binary64) (.f64 (.f64 x x) #s(literal 69/1024 binary64))))))

Outputs
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))))) #s(literal 2 binary64))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
22.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0%)

Counts

10 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/4 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -11/128 binary64))))
(+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))

Outputs
(+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
22.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

8 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1/4 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1/8 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) x))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -11/128 binary64))))

Outputs
#s(literal 1/4 binary64)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
22.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
3.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify21.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

118×	`unsub-neg_binary64`
90×	`neg-mul-1_binary64`
88×	`+-commutative_binary64`
58×	`*-commutative_binary64`
46×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	252
1	124	252
2	155	252
3	185	252
4	213	252
5	235	252
6	299	252
7	413	252
8	422	252
9	423	252

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) x)))))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
#s(literal 1/4 binary64)
#s(literal 0 binary64)

Outputs
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1 binary64) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) x)))))
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))))) #s(literal 2 binary64))
(+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
#s(literal 1/4 binary64)
#s(literal 0 binary64)

soundness3.0s (17.5%)

Rules

4234×	`-lowering-.f32`
4234×	`-lowering-.f64`
3832×	`-lowering-.f32`
3832×	`-lowering-.f64`
3518×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	217
1	281	200
2	2587	173
0	8699	173
0	12	11
1	28	10
2	36	10
3	44	10
4	52	10
5	65	10
6	82	10
7	96	10
8	108	10
9	109	10
0	109	10
0	292	2157
1	949	1991
2	3314	1939
0	8230	1939
0	31	130
1	195	124
2	2015	123
0	9081	123
0	169	619
1	503	567
2	1466	551
3	4232	548
0	8068	548
0	394	3033
1	1279	2903
2	4211	2890
0	8041	2890
0	58	393
1	400	344
2	3816	344
0	8207	344
0	11	30
1	66	30
2	534	30
3	6508	30
0	8005	30

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

Compiler

Compiled 610 to 349 computations (42.8% saved)

preprocess95.0ms (0.6%)

Remove: (abs x)
Compiler: Compiled 844 to 324 computations (61.6% saved)

Iter	Nodes	Cost
0	17	35
1	51	30
2	91	30
3	153	30
4	261	30
5	405	30
6	512	30
7	558	30
8	570	30
0	12	11
1	28	10
2	36	10
3	44	10
4	52	10
5	65	10
6	82	10
7	96	10
8	108	10
9	109	10
0	109	10

Iter	Nodes	Cost
0	78	252
1	124	252
2	155	252
3	185	252
4	213	252
5	235	252
6	299	252
7	413	252
8	422	252
9	423	252

Iter	Nodes	Cost
0	17	35
1	51	30
2	91	30
3	153	30
4	261	30
5	405	30
6	512	30
7	558	30
8	570	30
0	12	11
1	28	10
2	36	10
3	44	10
4	52	10
5	65	10
6	82	10
7	96	10
8	108	10
9	109	10
0	109	10

Iter	Nodes	Cost
0	78	252
1	124	252
2	155	252
3	185	252
4	213	252
5	235	252
6	299	252
7	413	252
8	422	252
9	423	252

analyze1.0ms (0%)

sample8.0s (46.9%)

preprocess25.0ms (0.1%)

explain106.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify9.0ms (0.1%)

localize39.0ms (0.2%)

series4.0ms (0%)

rewrite279.0ms (1.6%)

simplify266.0ms (1.6%)

eval35.0ms (0.2%)

prune45.0ms (0.3%)

simplify166.0ms (1%)

localize117.0ms (0.7%)

series15.0ms (0.1%)

rewrite365.0ms (2.1%)

simplify292.0ms (1.7%)

eval95.0ms (0.6%)

prune93.0ms (0.5%)

simplify167.0ms (1%)

localize178.0ms (1%)

series15.0ms (0.1%)

rewrite306.0ms (1.8%)

simplify319.0ms (1.9%)

eval128.0ms (0.7%)

prune170.0ms (1%)

simplify237.0ms (1.4%)

localize398.0ms (2.3%)

series20.0ms (0.1%)

rewrite421.0ms (2.5%)

simplify352.0ms (2.1%)

eval154.0ms (0.9%)

prune149.0ms (0.9%)

regimes158.0ms (0.9%)

regimes125.0ms (0.7%)

regimes268.0ms (1.6%)

regimes96.0ms (0.6%)

regimes123.0ms (0.7%)

regimes122.0ms (0.7%)

regimes46.0ms (0.3%)

regimes25.0ms (0.1%)

regimes9.0ms (0.1%)

regimes10.0ms (0.1%)

regimes7.0ms (0%)

regimes6.0ms (0%)

regimes6.0ms (0%)

regimes4.0ms (0%)

regimes2.0ms (0%)

simplify21.0ms (0.1%)

soundness3.0s (17.5%)

preprocess95.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	17	35
1	51	30
2	91	30
3	153	30
4	261	30
5	405	30
6	512	30
7	558	30
8	570	30
0	12	11
1	28	10
2	36	10
3	44	10
4	52	10
5	65	10
6	82	10
7	96	10
8	108	10
9	109	10
0	109	10

Iter	Nodes	Cost
0	78	252
1	124	252
2	155	252
3	185	252
4	213	252
5	235	252
6	299	252
7	413	252
8	422	252
9	423	252