Metrics for Numeric.Log:$clog1p from log-domain-0.10.2.1, B

analyze2.0ms (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
50%	50%	50%	0%	0%	0%	0%	2
66.7%	50%	25%	0%	0%	25%	0%	3
83.3%	62.5%	12.5%	0%	0%	25%	0%	4
91.7%	68.7%	6.2%	0%	0%	25%	0%	5
95.8%	71.8%	3.1%	0%	0%	25%	0%	6
97.9%	73.4%	1.6%	0%	0%	25%	0%	7
99%	74.2%	0.8%	0%	0%	25%	0%	8
99.5%	74.6%	0.4%	0%	0%	25%	0%	9
99.7%	74.8%	0.2%	0%	0%	25%	0%	10
99.9%	74.9%	0.1%	0%	0%	25%	0%	11
99.9%	74.9%	0%	0%	0%	25%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

Precisions

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

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

ival-add: 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)

sample700.0ms (8.3%)

Results

471.0ms	8255×	0	valid
0.0ms	1×	2	valid
0.0ms	2×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 243.0ms

ival-add: 98.0ms (40.3% of total)

ival-sqrt: 70.0ms (28.8% of total)

ival-div: 63.0ms (25.9% of total)

const: 10.0ms (4.1% of total)

backward-pass: 3.0ms (1.2% of total)

Bogosity

preprocess45.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

568×	`fnmadd-define`
494×	`sum3-define`
408×	`fma-define`
326×	`fmsub-define`
304×	`fnmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	29	25
2	58	24
3	140	24
4	329	24
5	650	24
6	1273	24
7	1681	24
8	1794	24
9	1908	24
10	1949	24
0	6	8
1	10	8
0	10	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ x (+ 1 (sqrt (+ x 1))))

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

Call 2

Inputs
(/ x (+ 1 (sqrt (+ x 1))))
(/ (neg x) (+ 1 (sqrt (+ (neg x) 1))))
(neg (/ (neg x) (+ 1 (sqrt (+ (neg x) 1)))))

Outputs
(/ x (+ 1 (sqrt (+ x 1))))
(/ (neg x) (+ 1 (sqrt (+ (neg x) 1))))
(/ x (- -1 (sqrt (- 1 x))))
(neg (/ (neg x) (+ 1 (sqrt (+ (neg x) 1)))))
(/ x (+ 1 (sqrt (- 1 x))))

explain91.0ms (1.1%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(sqrt.f64 (+.f64 x #s(literal 1 binary64)))`
-	-	`#s(literal 1 binary64)`
-	-	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
-	-	`(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))`
-	-	`(+.f64 x #s(literal 1 binary64))`

Results

33.0ms

512×

valid

Compiler

Compiled 59 to 20 computations (66.1% saved)

Precisions

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

ival-add: 6.0ms (40.4% of total)

ival-div: 4.0ms (26.9% of total)

ival-sqrt: 4.0ms (26.9% of total)

const: 1.0ms (6.7% of total)

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

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

8×	`+-lowering-+.f64`
8×	`+-lowering-+.f32`
4×	`+-commutative`
2×	`sqrt-lowering-sqrt.f64`
2×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	23
1	10	23
0	10	23

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ x (+ 1 (sqrt (+ x 1))))
x
(+ 1 (sqrt (+ x 1)))
1
(sqrt (+ x 1))
(+ x 1)

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

localize45.0ms (0.5%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
✓	accuracy	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

37.0ms

256×

valid

Compiler

Compiled 25 to 7 computations (72% saved)

Precisions

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

ival-add: 3.0ms (38.3% of total)

ival-div: 2.0ms (25.5% of total)

ival-sqrt: 2.0ms (25.5% of total)

const: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Counts

4 → 48

Calls

Call 1

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

Outputs
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))>
#<alt (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))>
#<alt (sqrt x)>
#<alt (- (sqrt x) 1)>
#<alt (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)>
#<alt (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))>
#<alt (* -1 (sqrt x))>
#<alt (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))>
#<alt (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))>
#<alt 2>
#<alt (+ 2 (* 1/2 x))>
#<alt (+ 2 (* x (+ 1/2 (* -1/8 x))))>
#<alt (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (/ 1 x)))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* -1/8 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>

Calls

12 calls:

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

rewrite316.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1798×	`-lowering-.f32`
1798×	`-lowering-.f64`
1694×	`/-lowering-/.f32`
1694×	`/-lowering-/.f64`
1416×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	21
1	42	21
2	326	20
3	3660	20
0	8007	20

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 250

Calls

Call 1

Inputs
(/ x (+ 1 (sqrt (+ x 1))))
(+ 1 (sqrt (+ x 1)))
(sqrt (+ x 1))
(+ x 1)

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

simplify239.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

3228×	`-lowering-.f32`
3228×	`-lowering-.f64`
2086×	`+-lowering-+.f64`
2086×	`+-lowering-+.f32`
1856×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	161	538
1	520	435
2	1991	413
3	7753	413
0	8430	413

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))
(sqrt x)
(- (sqrt x) 1)
(- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)
(- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))
(* -1 (sqrt x))
(+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))
2
(+ 2 (* 1/2 x))
(+ 2 (* x (+ 1/2 (* -1/8 x))))
(+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (/ 1 x)))
(* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))

Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/8 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 x #s(literal -5/128 binary64))))))))
(sqrt x)
(sqrt.f64 x)
(- (sqrt x) 1)
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
(- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)
(+.f64 (+.f64 (sqrt.f64 x) #s(literal -1 binary64)) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
(- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))
(-.f64 (+.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (.f64 (.f64 (sqrt.f64 (.f64 x (*.f64 x x))) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))
(* -1 (sqrt x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))
(-.f64 #s(literal -1 binary64) (sqrt.f64 x))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))
(-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (-.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))
(-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (*.f64 x x)))) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) x) x)))
2
#s(literal 2 binary64)
(+ 2 (* 1/2 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(+ 2 (* x (+ 1/2 (* -1/8 x))))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64))
(+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 2 binary64))
(sqrt x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
(+.f64 (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) #s(literal 1 binary64))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(-.f64 (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(-.f64 (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 1 binary64))
(sqrt x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(.f64 x (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(-.f64 #s(literal 0 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(-.f64 #s(literal 0 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (-.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (+.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 0 binary64) x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))

eval61.0ms (0.7%)

Compiler: Compiled 5849 to 1089 computations (81.4% saved)

prune95.0ms (1.1%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	285	13	298
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	285	14	299

Accuracy

100.0%

Counts

299 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.4%	(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 2 binary64)))
▶	66.6%	(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
	67.7%	(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
▶	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
▶	67.4%	(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 1 binary64))))
	66.6%	(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 1 binary64))))
	67.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	38.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
▶	66.8%	(/.f64 x #s(literal 2 binary64))
	33.5%	(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))) x)
	34.8%	(sqrt.f64 x)
	39.8%	(neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))))

Compiler

Compiled 269 to 196 computations (27.1% saved)

simplify34.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (sqrt.f64 x))
✓	cost-diff	0	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))
✓	cost-diff	0	(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 1 binary64))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 1 binary64)))
✓	cost-diff	128	(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 1 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
✓	cost-diff	0	(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))
✓	cost-diff	6528	(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓	cost-diff	6528	(+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓	cost-diff	6528	(/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))))

Rules

476×	`sum3-define`
474×	`fma-define`
398×	`fma-lowering-fma.f32`
398×	`fma-lowering-fma.f64`
338×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	177
1	64	153
2	150	148
3	268	148
4	472	148
5	775	148
6	1007	148
7	1017	148
0	1017	148

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ x (+ 1 (pow (pow (+ x 1) 1/4) 2)))
x
(+ 1 (pow (pow (+ x 1) 1/4) 2))
1
(pow (pow (+ x 1) 1/4) 2)
(pow (+ x 1) 1/4)
(+ x 1)
1/4
2
(/ x 2)
x
2
(/ x (+ (* x (+ 1/2 (* x -1/8))) 2))
x
(+ (* x (+ 1/2 (* x -1/8))) 2)
(* x (+ 1/2 (* x -1/8)))
(+ 1/2 (* x -1/8))
1/2
(* x -1/8)
-1/8
2
(/ x (+ 1 (+ (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))) 1)))
x
(+ 1 (+ (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))) 1))
1
(+ (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))) 1)
(* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))
(+ 1/2 (* x (+ -1/8 (* x 1/16))))
1/2
(* x (+ -1/8 (* x 1/16)))
(+ -1/8 (* x 1/16))
-1/8
(* x 1/16)
1/16
(/ x (+ 1 (sqrt x)))
x
(+ 1 (sqrt x))
1
(sqrt x)

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

localize153.0ms (1.8%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (sqrt.f64 x))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 1 binary64)))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))
✓	accuracy	95.5%	(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 1 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
✓	accuracy	100.0%	(*.f64 x #s(literal -1/8 binary64))
✓	accuracy	81.8%	(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
✓	accuracy	100.0%	(/.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓	accuracy	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
✓	accuracy	99.7%	(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))

Results

54.0ms	88×	0	invalid
51.0ms	168×	0	valid

Compiler

Compiled 184 to 30 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-add: 36.0ms (50.9% of total)

ival-mult: 12.0ms (17% of total)

ival-pow: 12.0ms (17% of total)

ival-div: 8.0ms (11.3% of total)

ival-sqrt: 2.0ms (2.8% of total)

const: 1.0ms (1.4% of total)

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

series14.0ms (0.2%)

Counts

19 → 228

Calls

Call 1

Inputs
#<alt (/ x (+ 1 (pow (pow (+ x 1) 1/4) 2)))>
#<alt (+ 1 (pow (pow (+ x 1) 1/4) 2))>
#<alt (pow (pow (+ x 1) 1/4) 2)>
#<alt (pow (+ x 1) 1/4)>
#<alt (/ x 2)>
#<alt (/ x (+ (* x (+ 1/2 (* x -1/8))) 2))>
#<alt (+ (* x (+ 1/2 (* x -1/8))) 2)>
#<alt (* x (+ 1/2 (* x -1/8)))>
#<alt (+ 1/2 (* x -1/8))>
#<alt (/ x (+ 1 (+ (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))) 1)))>
#<alt (+ 1 (+ (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))) 1))>
#<alt (+ (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))) 1)>
#<alt (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))>
#<alt (/ x (+ 1 (sqrt x)))>
#<alt (+ 1 (sqrt x))>
#<alt (sqrt x)>
#<alt (+ x 1)>
#<alt (* x -1/8)>
#<alt (* x (+ -1/8 (* x 1/16)))>

Outputs
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))>
#<alt (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))>
#<alt (sqrt x)>
#<alt (- (sqrt x) 1)>
#<alt (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)>
#<alt (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))>
#<alt (* -1 (sqrt x))>
#<alt (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))>
#<alt (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))>
#<alt 2>
#<alt (+ 2 (* 1/2 x))>
#<alt (+ 2 (* x (+ 1/2 (* -1/8 x))))>
#<alt (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (/ 1 x)))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* -1/8 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/4 x))>
#<alt (+ 1 (* x (+ 1/4 (* -3/32 x))))>
#<alt (+ 1 (* x (+ 1/4 (* x (- (* 7/128 x) 3/32)))))>
#<alt (pow (* 1 x) 1/4)>
#<alt (+ (* 1/4 (pow (/ 1 (pow x 3)) 1/4)) (pow (* 1 x) 1/4))>
#<alt (+ (* -3/32 (pow (/ 1 (pow x 7)) 1/4)) (+ (* 1/4 (pow (/ 1 (pow x 3)) 1/4)) (pow (* 1 x) 1/4)))>
#<alt (+ (* -3/32 (pow (/ 1 (pow x 7)) 1/4)) (+ (* 7/128 (pow (/ 1 (pow x 11)) 1/4)) (+ (* 1/4 (pow (/ 1 (pow x 3)) 1/4)) (pow (* 1 x) 1/4))))>
#<alt (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/4 (/ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))>
#<alt (+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/4 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 3/32 (/ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)))>
#<alt (+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -3/32 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 7/128 (/ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* -1/4 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))>
#<alt (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -3/128 x))) 1/8))))>
#<alt (/ -8 x)>
#<alt (* -1 (/ (+ 8 (* 32 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 32 (* 256 (/ 1 x))) x)) 8) x)>
#<alt (/ (- (* -1 (/ (+ 256 (* 1536 (/ 1 x))) (pow x 2))) (+ 8 (* 32 (/ 1 x)))) x)>
#<alt (/ -8 x)>
#<alt (* -1 (/ (+ 8 (* 32 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 8 (+ (* 32 (/ 1 x)) (/ 256 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 8 (* -1 (/ (- (* -1 (/ (+ 256 (* 1536 (/ 1 x))) x)) 32) x))) x))>
#<alt 2>
#<alt (+ 2 (* 1/2 x))>
#<alt (+ 2 (* x (+ 1/2 (* -1/8 x))))>
#<alt (+ 2 (* x (+ 1/2 (* -1/8 x))))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/8 x))>
#<alt (+ 1/2 (* -1/8 x))>
#<alt (+ 1/2 (* -1/8 x))>
#<alt (* -1/8 x)>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* -1/8 x)>
#<alt (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))>
#<alt (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))>
#<alt (/ 16 (pow x 2))>
#<alt (/ (+ 16 (* 32 (/ 1 x))) (pow x 2))>
#<alt (/ (- (+ 16 (* 32 (/ 1 x))) (/ 64 (pow x 2))) (pow x 2))>
#<alt (/ (+ 16 (+ (* -1 (/ (+ 64 (* 896 (/ 1 x))) (pow x 2))) (* 32 (/ 1 x)))) (pow x 2))>
#<alt (/ 16 (pow x 2))>
#<alt (/ (+ 16 (* 32 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 16 (* -1 (/ (- (* 64 (/ 1 x)) 32) x))) (pow x 2))>
#<alt (/ (+ 16 (* -1 (/ (- (+ (* 64 (/ 1 x)) (/ 896 (pow x 2))) 32) x))) (pow x 2))>
#<alt 2>
#<alt (+ 2 (* 1/2 x))>
#<alt (+ 2 (* x (+ 1/2 (* -1/8 x))))>
#<alt (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))>
#<alt (* 1/16 (pow x 3))>
#<alt (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/16 (+ (/ 1/2 (pow x 2)) (* 2 (/ 1 (pow x 3))))) (* 1/8 (/ 1 x))))>
#<alt (* 1/16 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8) x)) 1/16)))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* -1/8 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))>
#<alt (* 1/16 (pow x 3))>
#<alt (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/16 (+ (/ 1/2 (pow x 2)) (/ 1 (pow x 3)))) (* 1/8 (/ 1 x))))>
#<alt (* 1/16 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/8) x)) 1/16)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))>
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))>
#<alt (* 1/16 (pow x 3))>
#<alt (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))>
#<alt (* 1/16 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))>
#<alt (/ x (+ 1 (sqrt x)))>
#<alt (/ x (+ 1 (sqrt x)))>
#<alt (/ x (+ 1 (sqrt x)))>
#<alt (/ x (+ 1 (sqrt x)))>
#<alt (sqrt x)>
#<alt (- (sqrt x) 1)>
#<alt (- (+ (sqrt x) (sqrt (/ 1 x))) 1)>
#<alt (- (sqrt x) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* -1 (sqrt x))>
#<alt (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) x)))>
#<alt (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (* -1 (/ x (pow (sqrt -1) 4))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) x))) x)))>
#<alt (+ 1 (sqrt x))>
#<alt (+ 1 (sqrt x))>
#<alt (+ 1 (sqrt x))>
#<alt (+ 1 (sqrt x))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (/ 1 x)))>
#<alt (* x (+ (sqrt (/ 1 x)) (/ 1 x)))>
#<alt (* x (+ (sqrt (/ 1 x)) (/ 1 x)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* x (- (* 1/16 x) 1/8))>
#<alt (* x (- (* 1/16 x) 1/8))>
#<alt (* x (- (* 1/16 x) 1/8))>
#<alt (* 1/16 (pow x 2))>
#<alt (* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))>
#<alt (* 1/16 (pow x 2))>
#<alt (* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))>

Calls

57 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+ (* x (+ 1/2 (* x -1/8))) 2)
1.0ms	x	@	0	(/ x (+ 1 (sqrt x)))
1.0ms	x	@	inf	(/ x (+ 1 (+ (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))) 1)))
1.0ms	x	@	0	(pow (+ x 1) 1/4)
0.0ms	x	@	-inf	(pow (+ x 1) 1/4)

rewrite372.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3094×	`/-lowering-/.f32`
3094×	`/-lowering-/.f64`
2968×	`-lowering-.f32`
2968×	`-lowering-.f64`
2026×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	137
1	214	119
2	1836	117
0	8368	117

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 510

Calls

Call 1

Inputs
(/ x (+ 1 (pow (pow (+ x 1) 1/4) 2)))
(+ 1 (pow (pow (+ x 1) 1/4) 2))
(pow (pow (+ x 1) 1/4) 2)
(pow (+ x 1) 1/4)
(/ x 2)
(/ x (+ (* x (+ 1/2 (* x -1/8))) 2))
(+ (* x (+ 1/2 (* x -1/8))) 2)
(* x (+ 1/2 (* x -1/8)))
(+ 1/2 (* x -1/8))
(/ x (+ 1 (+ (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))) 1)))
(+ 1 (+ (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))) 1))
(+ (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))) 1)
(* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))
(/ x (+ 1 (sqrt x)))
(+ 1 (sqrt x))
(sqrt x)
(+ x 1)
(* x -1/8)
(* x (+ -1/8 (* x 1/16)))

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) x)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (/.f64 x (+.f64 (neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(neg.f64 (/.f64 x (+.f64 (neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) x))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))) (neg.f64 (neg.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/8 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/8 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/8 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(pow.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1/4 binary64)))
(hypot.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
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(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64)))))
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(/.f64 (exp.f64 (log.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (exp.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))) (.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (neg.f64 (neg.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/8 binary64)) #s(literal 8 binary64))
(pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1/4 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 x #s(literal -1/8 binary64))
(*.f64 #s(literal -1/8 binary64) x)
(+.f64 (.f64 x #s(literal -1/8 binary64)) (.f64 x (*.f64 x #s(literal 1/16 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 1/16 binary64))) (*.f64 x #s(literal -1/8 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/64 binary64)) (-.f64 (.f64 x #s(literal -1/8 binary64)) (.f64 x (.f64 x #s(literal 1/16 binary64))))) (/.f64 (.f64 (.f64 x (.f64 x #s(literal 1/16 binary64))) (.f64 x (.f64 x #s(literal 1/16 binary64)))) (-.f64 (.f64 x #s(literal -1/8 binary64)) (.f64 x (*.f64 x #s(literal 1/16 binary64))))))
(fma.f64 x #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))
(fma.f64 x (.f64 x #s(literal 1/16 binary64)) (.f64 x #s(literal -1/8 binary64)))
(fma.f64 #s(literal -1/8 binary64) x (.f64 x (.f64 x #s(literal 1/16 binary64))))
(fma.f64 #s(literal 1/16 binary64) (.f64 x x) (.f64 x #s(literal -1/8 binary64)))
(fma.f64 (.f64 x #s(literal 1/16 binary64)) x (.f64 x #s(literal -1/8 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/16 binary64) (.f64 x #s(literal -1/8 binary64)))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/4096 binary64)))) (+.f64 (.f64 (.f64 x x) #s(literal 1/64 binary64)) (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/16 binary64))) (.f64 x (.f64 x #s(literal 1/16 binary64)))) (.f64 (.f64 x #s(literal -1/8 binary64)) (.f64 x (.f64 x #s(literal 1/16 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/64 binary64)) (.f64 (.f64 x (.f64 x #s(literal 1/16 binary64))) (.f64 x (.f64 x #s(literal 1/16 binary64))))) (-.f64 (.f64 x #s(literal -1/8 binary64)) (.f64 x (.f64 x #s(literal 1/16 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal -1/512 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/4096 binary64)))) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 x #s(literal 1/16 binary64)) (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal 1/256 binary64)))) (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/16 binary64) x)))
(/.f64 (.f64 (+.f64 #s(literal -1/512 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/4096 binary64))) x) (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 x #s(literal 1/16 binary64)) (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal 1/256 binary64))) x) (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/16 binary64) x)))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/4096 binary64))))) (neg.f64 (+.f64 (.f64 (.f64 x x) #s(literal 1/64 binary64)) (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/16 binary64))) (.f64 x (.f64 x #s(literal 1/16 binary64)))) (.f64 (.f64 x #s(literal -1/8 binary64)) (.f64 x (.f64 x #s(literal 1/16 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/64 binary64)) (.f64 (.f64 x (.f64 x #s(literal 1/16 binary64))) (.f64 x (.f64 x #s(literal 1/16 binary64)))))) (neg.f64 (-.f64 (.f64 x #s(literal -1/8 binary64)) (.f64 x (.f64 x #s(literal 1/16 binary64))))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal -1/512 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/4096 binary64))))) (neg.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 x #s(literal 1/16 binary64)) (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal 1/256 binary64))))) (neg.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/16 binary64) x))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1/512 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/4096 binary64))) x)) (neg.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 x #s(literal 1/16 binary64)) (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) #s(literal 1/256 binary64))) x)) (neg.f64 (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal -1/16 binary64) x))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/4096 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/512 binary64))) (+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/16 binary64))) (.f64 x (.f64 x #s(literal 1/16 binary64)))) (-.f64 (.f64 (.f64 x x) #s(literal 1/64 binary64)) (.f64 (.f64 x (.f64 x #s(literal 1/16 binary64))) (.f64 x #s(literal -1/8 binary64))))))
(.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))
(.f64 (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))) x)

simplify284.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

3648×	`-lowering-.f32`
3648×	`-lowering-.f64`
2776×	`+-lowering-+.f64`
2776×	`+-lowering-+.f32`
1234×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	360	2019
1	1105	1791
2	4275	1756
0	8425	1756

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))
(sqrt x)
(- (sqrt x) 1)
(- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)
(- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))
(* -1 (sqrt x))
(+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))
2
(+ 2 (* 1/2 x))
(+ 2 (* x (+ 1/2 (* -1/8 x))))
(+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (/ 1 x)))
(* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
1
(+ 1 (* 1/4 x))
(+ 1 (* x (+ 1/4 (* -3/32 x))))
(+ 1 (* x (+ 1/4 (* x (- (* 7/128 x) 3/32)))))
(pow (* 1 x) 1/4)
(+ (* 1/4 (pow (/ 1 (pow x 3)) 1/4)) (pow (* 1 x) 1/4))
(+ (* -3/32 (pow (/ 1 (pow x 7)) 1/4)) (+ (* 1/4 (pow (/ 1 (pow x 3)) 1/4)) (pow (* 1 x) 1/4)))
(+ (* -3/32 (pow (/ 1 (pow x 7)) 1/4)) (+ (* 7/128 (pow (/ 1 (pow x 11)) 1/4)) (+ (* 1/4 (pow (/ 1 (pow x 3)) 1/4)) (pow (* 1 x) 1/4))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/4 (/ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/4 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 3/32 (/ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -3/32 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 7/128 (/ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* -1/4 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -3/128 x))) 1/8))))
(/ -8 x)
(* -1 (/ (+ 8 (* 32 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 32 (* 256 (/ 1 x))) x)) 8) x)
(/ (- (* -1 (/ (+ 256 (* 1536 (/ 1 x))) (pow x 2))) (+ 8 (* 32 (/ 1 x)))) x)
(/ -8 x)
(* -1 (/ (+ 8 (* 32 (/ 1 x))) x))
(* -1 (/ (+ 8 (+ (* 32 (/ 1 x)) (/ 256 (pow x 2)))) x))
(* -1 (/ (+ 8 (* -1 (/ (- (* -1 (/ (+ 256 (* 1536 (/ 1 x))) x)) 32) x))) x))
2
(+ 2 (* 1/2 x))
(+ 2 (* x (+ 1/2 (* -1/8 x))))
(+ 2 (* x (+ 1/2 (* -1/8 x))))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* -1/8 x)))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
1/2
(+ 1/2 (* -1/8 x))
(+ 1/2 (* -1/8 x))
(+ 1/2 (* -1/8 x))
(* -1/8 x)
(* x (- (* 1/2 (/ 1 x)) 1/8))
(* x (- (* 1/2 (/ 1 x)) 1/8))
(* x (- (* 1/2 (/ 1 x)) 1/8))
(* -1/8 x)
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))
(/ 16 (pow x 2))
(/ (+ 16 (* 32 (/ 1 x))) (pow x 2))
(/ (- (+ 16 (* 32 (/ 1 x))) (/ 64 (pow x 2))) (pow x 2))
(/ (+ 16 (+ (* -1 (/ (+ 64 (* 896 (/ 1 x))) (pow x 2))) (* 32 (/ 1 x)))) (pow x 2))
(/ 16 (pow x 2))
(/ (+ 16 (* 32 (/ 1 x))) (pow x 2))
(/ (+ 16 (* -1 (/ (- (* 64 (/ 1 x)) 32) x))) (pow x 2))
(/ (+ 16 (* -1 (/ (- (+ (* 64 (/ 1 x)) (/ 896 (pow x 2))) 32) x))) (pow x 2))
2
(+ 2 (* 1/2 x))
(+ 2 (* x (+ 1/2 (* -1/8 x))))
(+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(* 1/16 (pow x 3))
(* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(* (pow x 3) (- (+ 1/16 (+ (/ 1/2 (pow x 2)) (* 2 (/ 1 (pow x 3))))) (* 1/8 (/ 1 x))))
(* 1/16 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8) x)) 1/16)))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(* 1/16 (pow x 3))
(* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(* (pow x 3) (- (+ 1/16 (+ (/ 1/2 (pow x 2)) (/ 1 (pow x 3)))) (* 1/8 (/ 1 x))))
(* 1/16 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/8) x)) 1/16)))
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(* 1/16 (pow x 3))
(* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(* 1/16 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))
(/ x (+ 1 (sqrt x)))
(/ x (+ 1 (sqrt x)))
(/ x (+ 1 (sqrt x)))
(/ x (+ 1 (sqrt x)))
(sqrt x)
(- (sqrt x) 1)
(- (+ (sqrt x) (sqrt (/ 1 x))) 1)
(- (sqrt x) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (/ 1 x))))
(* -1 (sqrt x))
(+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) x)))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (* -1 (/ x (pow (sqrt -1) 4))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) x))) x)))
(+ 1 (sqrt x))
(+ 1 (sqrt x))
(+ 1 (sqrt x))
(+ 1 (sqrt x))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (/ 1 x)))
(* x (+ (sqrt (/ 1 x)) (/ 1 x)))
(* x (+ (sqrt (/ 1 x)) (/ 1 x)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* x (- (* 1/16 x) 1/8))
(* x (- (* 1/16 x) 1/8))
(* x (- (* 1/16 x) 1/8))
(* 1/16 (pow x 2))
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))
(* 1/16 (pow x 2))
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))

Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/8 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 x #s(literal -5/128 binary64))))))))
(sqrt x)
(sqrt.f64 x)
(- (sqrt x) 1)
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
(- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)
(+.f64 (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))
(-.f64 (-.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (sqrt x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))
(-.f64 #s(literal -1 binary64) (sqrt.f64 x))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))
(-.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (-.f64 #s(literal 0 binary64) x)) x) (sqrt.f64 x))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))
(-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))))) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (.f64 x (*.f64 x x)))))) x) x)))
2
#s(literal 2 binary64)
(+ 2 (* 1/2 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(+ 2 (* x (+ 1/2 (* -1/8 x))))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64))
(+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 2 binary64))
(sqrt x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
(+.f64 (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) #s(literal 1 binary64))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(+.f64 (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(+.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))))) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 1 binary64))
(sqrt x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(.f64 x (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(-.f64 #s(literal 0 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(-.f64 #s(literal 0 binary64) (.f64 x (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(-.f64 #s(literal 0 binary64) (.f64 x (+.f64 (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (/.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/4 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64)))
(+ 1 (* x (+ 1/4 (* -3/32 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal -3/32 binary64)))))
(+ 1 (* x (+ 1/4 (* x (- (* 7/128 x) 3/32)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal -3/32 binary64) (*.f64 x #s(literal 7/128 binary64)))))))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(+ (* 1/4 (pow (/ 1 (pow x 3)) 1/4)) (pow (* 1 x) 1/4))
(+.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) #s(literal 1/4 binary64))))
(+ (* -3/32 (pow (/ 1 (pow x 7)) 1/4)) (+ (* 1/4 (pow (/ 1 (pow x 3)) 1/4)) (pow (* 1 x) 1/4)))
(+.f64 (+.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1/4 binary64)))) (.f64 #s(literal -3/32 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/4 binary64))))
(+ (* -3/32 (pow (/ 1 (pow x 7)) 1/4)) (+ (* 7/128 (pow (/ 1 (pow x 11)) 1/4)) (+ (* 1/4 (pow (/ 1 (pow x 3)) 1/4)) (pow (* 1 x) 1/4))))
(+.f64 (.f64 #s(literal -3/32 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/4 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1/4 binary64)))) (*.f64 #s(literal 7/128 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64))) #s(literal 1/4 binary64)))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64)))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/4 (/ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))
(+.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64))) (.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64))) (/.f64 #s(literal 1/4 binary64) x)))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1/4 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 3/32 (/ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)))
(-.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64))) (/.f64 (+.f64 (.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64))) #s(literal -1/4 binary64)) (.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64))) (/.f64 #s(literal 3/32 binary64) x))) x))
(+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (/ (+ (* -3/32 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))) (* 7/128 (/ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (* -1/4 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))))) x)))
(-.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64))) (/.f64 (-.f64 (.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64))) #s(literal -1/4 binary64)) (/.f64 (+.f64 (.f64 #s(literal -3/32 binary64) (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64)))) (.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/4 binary64))) (/.f64 #s(literal 7/128 binary64) x))) x)) x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/8 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -3/128 x))) 1/8))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 x #s(literal -3/128 binary64))))))))
(/ -8 x)
(/.f64 #s(literal -8 binary64) x)
(* -1 (/ (+ 8 (* 32 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -32 binary64) x)) x)
(/ (- (* -1 (/ (+ 32 (* 256 (/ 1 x))) x)) 8) x)
(/.f64 (-.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal 32 binary64) (/.f64 #s(literal 256 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 256 (* 1536 (/ 1 x))) (pow x 2))) (+ 8 (* 32 (/ 1 x)))) x)
(/.f64 (+.f64 (/.f64 (-.f64 #s(literal -32 binary64) (/.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 1536 binary64) x)) x)) x) #s(literal -8 binary64)) x)
(/ -8 x)
(/.f64 #s(literal -8 binary64) x)
(* -1 (/ (+ 8 (* 32 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -32 binary64) x)) x)
(* -1 (/ (+ 8 (+ (* 32 (/ 1 x)) (/ 256 (pow x 2)))) x))
(/.f64 (+.f64 (/.f64 #s(literal 32 binary64) x) (+.f64 (/.f64 #s(literal 256 binary64) (*.f64 x x)) #s(literal 8 binary64))) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (+ 8 (* -1 (/ (- (* -1 (/ (+ 256 (* 1536 (/ 1 x))) x)) 32) x))) x))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 8 binary64) (/.f64 (-.f64 #s(literal -32 binary64) (/.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 1536 binary64) x)) x)) x)) x))
2
#s(literal 2 binary64)
(+ 2 (* 1/2 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(+ 2 (* x (+ 1/2 (* -1/8 x))))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64))
(+ 2 (* x (+ 1/2 (* -1/8 x))))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1/8 binary64))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1/8 binary64))))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1/8 binary64))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1/8 binary64))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/8 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(* x (+ 1/2 (* -1/8 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(* x (+ 1/2 (* -1/8 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/8 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))
(+ 1/2 (* -1/8 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))
(+ 1/2 (* -1/8 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* x (- (* 1/2 (/ 1 x)) 1/8))
(*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(* x (- (* 1/2 (/ 1 x)) 1/8))
(*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(* x (- (* 1/2 (/ 1 x)) 1/8))
(*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/8 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 x #s(literal -5/128 binary64))))))))
(/ 16 (pow x 2))
(/.f64 #s(literal 16 binary64) (*.f64 x x))
(/ (+ 16 (* 32 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 32 binary64) x) #s(literal 16 binary64)) (*.f64 x x))
(/ (- (+ 16 (* 32 (/ 1 x))) (/ 64 (pow x 2))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 32 binary64) x) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -64 binary64) (.f64 x x)))) (.f64 x x))
(/ (+ 16 (+ (* -1 (/ (+ 64 (* 896 (/ 1 x))) (pow x 2))) (* 32 (/ 1 x)))) (pow x 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 32 binary64) x) #s(literal 16 binary64)) (/.f64 (+.f64 #s(literal 64 binary64) (/.f64 #s(literal 896 binary64) x)) (.f64 x x))) (.f64 x x))
(/ 16 (pow x 2))
(/.f64 #s(literal 16 binary64) (*.f64 x x))
(/ (+ 16 (* 32 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 32 binary64) x) #s(literal 16 binary64)) (*.f64 x x))
(/ (+ 16 (* -1 (/ (- (* 64 (/ 1 x)) 32) x))) (pow x 2))
(/.f64 (-.f64 #s(literal 16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 64 binary64) x) #s(literal -32 binary64)) x)) (*.f64 x x))
(/ (+ 16 (* -1 (/ (- (+ (* 64 (/ 1 x)) (/ 896 (pow x 2))) 32) x))) (pow x 2))
(/.f64 (-.f64 #s(literal 16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 64 binary64) x) (+.f64 (/.f64 #s(literal 896 binary64) (.f64 x x)) #s(literal -32 binary64))) x)) (.f64 x x))
2
#s(literal 2 binary64)
(+ 2 (* 1/2 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(+ 2 (* x (+ 1/2 (* -1/8 x))))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64))
(+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 2 binary64))
(* 1/16 (pow x 3))
(.f64 x (.f64 #s(literal 1/16 binary64) (*.f64 x x)))
(* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))
(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* (pow x 3) (- (+ 1/16 (+ (/ 1/2 (pow x 2)) (* 2 (/ 1 (pow x 3))))) (* 1/8 (/ 1 x))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))))
(* 1/16 (pow x 3))
(.f64 x (.f64 #s(literal 1/16 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))
(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) #s(literal -1/16 binary64)))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8) x)) 1/16)))
(.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1/8 binary64))) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 1 binary64))
(* 1/16 (pow x 3))
(.f64 x (.f64 #s(literal 1/16 binary64) (*.f64 x x)))
(* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))
(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* (pow x 3) (- (+ 1/16 (+ (/ 1/2 (pow x 2)) (/ 1 (pow x 3)))) (* 1/8 (/ 1 x))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))))
(* 1/16 (pow x 3))
(.f64 x (.f64 #s(literal 1/16 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))
(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) #s(literal -1/16 binary64)))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/8) x)) 1/16)))
(.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/8 binary64))) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/8 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))
(* 1/16 (pow x 3))
(.f64 x (.f64 #s(literal 1/16 binary64) (*.f64 x x)))
(* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))
(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* 1/16 (pow x 3))
(.f64 x (.f64 #s(literal 1/16 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))
(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) #s(literal -1/16 binary64)))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))
(-.f64 #s(literal 0 binary64) (.f64 x (.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) #s(literal -1/16 binary64)))))
(/ x (+ 1 (sqrt x)))
(/.f64 x (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/ x (+ 1 (sqrt x)))
(/.f64 x (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/ x (+ 1 (sqrt x)))
(/.f64 x (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/ x (+ 1 (sqrt x)))
(/.f64 x (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(sqrt x)
(sqrt.f64 x)
(- (sqrt x) 1)
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
(- (+ (sqrt x) (sqrt (/ 1 x))) 1)
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(- (sqrt x) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (/ 1 x))))
(-.f64 (sqrt.f64 x) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (sqrt x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))
(-.f64 #s(literal -1 binary64) (sqrt.f64 x))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) x)))
(-.f64 (/.f64 (-.f64 x (sqrt.f64 x)) (-.f64 #s(literal 0 binary64) x)) (sqrt.f64 x))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (* -1 (/ x (pow (sqrt -1) 4))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) x))) x)))
(-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (/.f64 (sqrt.f64 (.f64 x (*.f64 x x))) x)) x)))
(+ 1 (sqrt x))
(+.f64 (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (sqrt x))
(+.f64 (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (sqrt x))
(+.f64 (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (sqrt x))
(+.f64 (sqrt.f64 x) #s(literal 1 binary64))
(sqrt x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* x (+ (sqrt (/ 1 x)) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* x (+ (sqrt (/ 1 x)) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* x (- (* 1/16 x) 1/8))
(.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))
(* x (- (* 1/16 x) 1/8))
(.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))
(* x (- (* 1/16 x) 1/8))
(.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))
(* 1/16 (pow x 2))
(.f64 #s(literal 1/16 binary64) (.f64 x x))
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))
(.f64 x (.f64 x (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))
(.f64 x (.f64 x (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))
(.f64 x (.f64 x (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(* 1/16 (pow x 2))
(.f64 #s(literal 1/16 binary64) (.f64 x x))
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))
(.f64 x (.f64 x (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))
(.f64 x (.f64 x (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))
(.f64 x (.f64 x (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x))))

eval91.0ms (1.1%)

Compiler: Compiled 15894 to 2321 computations (85.4% saved)

prune97.0ms (1.2%)

Pruning

25 alts after pruning (19 fresh and 6 done)

	Pruned	Kept	Total
New	725	13	738
Fresh	2	6	8
Picked	0	5	5
Done	0	1	1
Total	727	25	752

Accuracy

100.0%

Counts

752 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.9%	(/.f64 x (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))))
	4.3%	(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))))
	3.7%	(/.f64 x (-.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))) #s(literal 1 binary64)))))
▶	5.0%	(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))))))
	66.6%	(/.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
	67.4%	(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 2 binary64)))
✓	66.6%	(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
	67.7%	(/.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
✓	67.4%	(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 1 binary64))))
	66.6%	(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 1 binary64))))
	67.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
	22.5%	(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/8 binary64))) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))))
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	38.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
▶	22.4%	(/.f64 x (.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1/8 binary64))) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))))
✓	66.8%	(/.f64 x #s(literal 2 binary64))
▶	66.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))) x))
▶	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) x))
▶	66.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
	33.5%	(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
	3.8%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))))))
	66.6%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))))) x)
	34.8%	(sqrt.f64 x)
	39.8%	(neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))))

Compiler

Compiled 1036 to 481 computations (53.6% saved)

simplify277.0ms (3.3%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))))
✓	cost-diff	256	(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))))))
✓	cost-diff	256	(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))))))
✓	cost-diff	0	(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1/8 binary64))) x)
✓	cost-diff	0	(-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1/8 binary64))) x))
✓	cost-diff	0	(.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1/8 binary64))) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
✓	cost-diff	256	(/.f64 x (.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1/8 binary64))) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))) x)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))) x))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) x)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
✓	cost-diff	64	(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	64	(+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))
✓	cost-diff	64	(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) x)
✓	cost-diff	192	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) x))

Rules

4772×	`-lowering-.f32`
4772×	`-lowering-.f64`
3496×	`+-lowering-+.f64`
3496×	`+-lowering-+.f32`
1324×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	462
1	116	402
2	337	396
3	1436	390
0	8557	390

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (/ (+ 1 (pow (+ x 1) 1/2)) x))
1
(/ (+ 1 (pow (+ x 1) 1/2)) x)
(+ 1 (pow (+ x 1) 1/2))
(pow (+ x 1) 1/2)
(+ x 1)
x
1/2
(/ 1 (/ 2 x))
1
(/ 2 x)
2
x
(/ 1 (/ (+ 2 (* x (+ 1/2 (* x -1/8)))) x))
1
(/ (+ 2 (* x (+ 1/2 (* x -1/8)))) x)
(+ 2 (* x (+ 1/2 (* x -1/8))))
2
(* x (+ 1/2 (* x -1/8)))
x
(+ 1/2 (* x -1/8))
1/2
(* x -1/8)
-1/8
(/ x (* (- -1/16 (/ (+ (/ 1/2 x) (+ (/ 2 (* x x)) -1/8)) x)) (- 0 (* x (* x x)))))
x
(* (- -1/16 (/ (+ (/ 1/2 x) (+ (/ 2 (* x x)) -1/8)) x)) (- 0 (* x (* x x))))
(- -1/16 (/ (+ (/ 1/2 x) (+ (/ 2 (* x x)) -1/8)) x))
-1/16
(/ (+ (/ 1/2 x) (+ (/ 2 (* x x)) -1/8)) x)
(+ (/ 1/2 x) (+ (/ 2 (* x x)) -1/8))
(/ 1/2 x)
1/2
(+ (/ 2 (* x x)) -1/8)
(/ 2 (* x x))
2
(* x x)
-1/8
(- 0 (* x (* x x)))
0
(* x (* x x))
(/ x (- (/ 1 (- 0 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) (/ (* (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))) (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) (- 0 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))))))
x
(- (/ 1 (- 0 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) (/ (* (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))) (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) (- 0 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))))
(/ 1 (- 0 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))))
1
(- 0 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))
0
(* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))
(+ 1/2 (* x (+ -1/8 (* x 1/16))))
1/2
(* x (+ -1/8 (* x 1/16)))
(+ -1/8 (* x 1/16))
-1/8
(* x 1/16)
1/16
(/ (* (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))) (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) (- 0 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))))
(* (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))) (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))))
(+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))

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

localize496.0ms (5.9%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))))
✓	accuracy	95.5%	(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))))))
✓	accuracy	70.6%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))
✓	accuracy	39.1%	(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))))))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.6%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	accuracy	95.5%	(/.f64 x (.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1/8 binary64))) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))))
✓	accuracy	56.4%	(.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1/8 binary64))) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
✓	accuracy	100.0%	(*.f64 x #s(literal -1/8 binary64))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))) x))
✓	accuracy	81.8%	(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))) x)
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))
✓	accuracy	99.8%	(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) x)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) x))

Results

193.0ms	99×	1	valid
137.0ms	64×	2	valid
67.0ms	93×	0	valid

Compiler

Compiled 493 to 45 computations (90.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 211.0ms

ival-div: 80.0ms (38% of total)

ival-mult: 44.0ms (20.9% of total)

ival-pow: 29.0ms (13.8% of total)

backward-pass: 23.0ms (10.9% of total)

ival-add: 23.0ms (10.9% of total)

ival-sub: 9.0ms (4.3% of total)

const: 2.0ms (0.9% of total)

series13.0ms (0.2%)

Counts

22 → 264

Calls

Call 1

Inputs
#<alt (/ 1 (/ (+ 1 (pow (+ x 1) 1/2)) x))>
#<alt (/ (+ 1 (pow (+ x 1) 1/2)) x)>
#<alt (+ 1 (pow (+ x 1) 1/2))>
#<alt (pow (+ x 1) 1/2)>
#<alt (/ 1 (/ 2 x))>
#<alt (/ 2 x)>
#<alt (/ 1 (/ (+ 2 (* x (+ 1/2 (* x -1/8)))) x))>
#<alt (/ (+ 2 (* x (+ 1/2 (* x -1/8)))) x)>
#<alt (+ 2 (* x (+ 1/2 (* x -1/8))))>
#<alt (* x (+ 1/2 (* x -1/8)))>
#<alt (/ x (* (- -1/16 (/ (+ (/ 1/2 x) (+ (/ 2 (* x x)) -1/8)) x)) (- 0 (* x (* x x)))))>
#<alt (* (- -1/16 (/ (+ (/ 1/2 x) (+ (/ 2 (* x x)) -1/8)) x)) (- 0 (* x (* x x))))>
#<alt (- -1/16 (/ (+ (/ 1/2 x) (+ (/ 2 (* x x)) -1/8)) x))>
#<alt (/ (+ (/ 1/2 x) (+ (/ 2 (* x x)) -1/8)) x)>
#<alt (/ x (- (/ 1 (- 0 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) (/ (* (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))) (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) (- 0 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))))))>
#<alt (- (/ 1 (- 0 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) (/ (* (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))) (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) (- 0 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))))>
#<alt (/ 1 (- 0 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))))>
#<alt (- 0 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))>
#<alt (* x -1/8)>
#<alt (/ 2 (* x x))>
#<alt (* x (* x x))>
#<alt (/ (* (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))) (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) (- 0 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))))>

Outputs
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))>
#<alt (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))>
#<alt (sqrt x)>
#<alt (- (sqrt x) 1)>
#<alt (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)>
#<alt (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))>
#<alt (* -1 (sqrt x))>
#<alt (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))>
#<alt (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* 1/2 x)) x)>
#<alt (/ (+ 2 (* x (+ 1/2 (* -1/8 x)))) x)>
#<alt (/ (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) x)>
#<alt (sqrt (/ 1 x))>
#<alt (+ (sqrt (/ 1 x)) (/ 1 x))>
#<alt (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))>
#<alt (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))>
#<alt (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))>
#<alt (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (- (* 1/2 (sqrt (/ 1 x))) 1) x)))>
#<alt (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x)) 1) x)))>
#<alt 2>
#<alt (+ 2 (* 1/2 x))>
#<alt (+ 2 (* x (+ 1/2 (* -1/8 x))))>
#<alt (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (/ 1 x)))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* -1/8 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))>
#<alt (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -3/128 x))) 1/8))))>
#<alt (/ -8 x)>
#<alt (* -1 (/ (+ 8 (* 32 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 32 (* 256 (/ 1 x))) x)) 8) x)>
#<alt (/ (- (* -1 (/ (+ 256 (* 1536 (/ 1 x))) (pow x 2))) (+ 8 (* 32 (/ 1 x)))) x)>
#<alt (/ -8 x)>
#<alt (* -1 (/ (+ 8 (* 32 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 8 (+ (* 32 (/ 1 x)) (/ 256 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 8 (* -1 (/ (- (* -1 (/ (+ 256 (* 1536 (/ 1 x))) x)) 32) x))) x))>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* 1/2 x)) x)>
#<alt (/ (+ 2 (* x (+ 1/2 (* -1/8 x)))) x)>
#<alt (/ (+ 2 (* x (+ 1/2 (* -1/8 x)))) x)>
#<alt (* -1/8 x)>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* x (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))>
#<alt (* x (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))>
#<alt (* -1/8 x)>
#<alt (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1/8 (* -1 (/ (+ 1/2 (* 2 (/ 1 x))) x)))))>
#<alt (* -1 (* x (+ 1/8 (* -1 (/ (+ 1/2 (* 2 (/ 1 x))) x)))))>
#<alt 2>
#<alt (+ 2 (* 1/2 x))>
#<alt (+ 2 (* x (+ 1/2 (* -1/8 x))))>
#<alt (+ 2 (* x (+ 1/2 (* -1/8 x))))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))>
#<alt (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))>
#<alt (/ 16 (pow x 2))>
#<alt (/ (+ 16 (* 32 (/ 1 x))) (pow x 2))>
#<alt (/ (- (+ 16 (* 32 (/ 1 x))) (/ 64 (pow x 2))) (pow x 2))>
#<alt (/ (+ 16 (+ (* -1 (/ (+ 64 (* 896 (/ 1 x))) (pow x 2))) (* 32 (/ 1 x)))) (pow x 2))>
#<alt (/ 16 (pow x 2))>
#<alt (/ (+ 16 (* 32 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 16 (* -1 (/ (- (* 64 (/ 1 x)) 32) x))) (pow x 2))>
#<alt (/ (+ 16 (* -1 (/ (- (+ (* 64 (/ 1 x)) (/ 896 (pow x 2))) 32) x))) (pow x 2))>
#<alt 2>
#<alt (+ 2 (* 1/2 x))>
#<alt (+ 2 (* x (+ 1/2 (* -1/8 x))))>
#<alt (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))>
#<alt (* 1/16 (pow x 3))>
#<alt (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/16 (+ (/ 1/2 (pow x 2)) (* 2 (/ 1 (pow x 3))))) (* 1/8 (/ 1 x))))>
#<alt (* 1/16 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8) x)) 1/16)))>
#<alt (/ -2 (pow x 3))>
#<alt (/ (- (* -1/2 x) 2) (pow x 3))>
#<alt (/ (- (* x (- (* 1/8 x) 1/2)) 2) (pow x 3))>
#<alt (/ (- (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2)) 2) (pow x 3))>
#<alt -1/16>
#<alt (- (* 1/8 (/ 1 x)) 1/16)>
#<alt (- (* 1/8 (/ 1 x)) (+ 1/16 (/ 1/2 (pow x 2))))>
#<alt (- (+ (* -1 (/ (+ 1/2 (* 2 (/ 1 x))) (pow x 2))) (* 1/8 (/ 1 x))) 1/16)>
#<alt -1/16>
#<alt (- (* 1/8 (/ 1 x)) 1/16)>
#<alt (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)>
#<alt (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8) x)) 1/16)>
#<alt (/ 2 (pow x 3))>
#<alt (/ (+ 2 (* 1/2 x)) (pow x 3))>
#<alt (/ (+ 2 (* x (+ 1/2 (* -1/8 x)))) (pow x 3))>
#<alt (/ (+ 2 (* x (+ 1/2 (* -1/8 x)))) (pow x 3))>
#<alt (/ -1/8 x)>
#<alt (/ (- (* 1/2 (/ 1 x)) 1/8) x)>
#<alt (/ (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8) x)>
#<alt (/ (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8) x)>
#<alt (/ -1/8 x)>
#<alt (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1/8 (* -1 (/ (+ 1/2 (* 2 (/ 1 x))) x))) x))>
#<alt (* -1 (/ (+ 1/8 (* -1 (/ (+ 1/2 (* 2 (/ 1 x))) x))) x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))>
#<alt (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))>
#<alt (/ 16 (pow x 2))>
#<alt (/ (+ 16 (* 32 (/ 1 x))) (pow x 2))>
#<alt (/ (- (+ 16 (* 32 (/ 1 x))) (/ 64 (pow x 2))) (pow x 2))>
#<alt (/ (+ 16 (+ (* -1 (/ (+ 64 (* 896 (/ 1 x))) (pow x 2))) (* 32 (/ 1 x)))) (pow x 2))>
#<alt (/ 16 (pow x 2))>
#<alt (/ (+ 16 (* 32 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 16 (* -1 (/ (- (* 64 (/ 1 x)) 32) x))) (pow x 2))>
#<alt (/ (+ 16 (* -1 (/ (- (+ (* 64 (/ 1 x)) (/ 896 (pow x 2))) 32) x))) (pow x 2))>
#<alt 2>
#<alt (+ 2 (* 1/2 x))>
#<alt (+ 2 (* x (+ 1/2 (* -1/8 x))))>
#<alt (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))>
#<alt (* 1/16 (pow x 3))>
#<alt (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/16 (+ (/ 1/2 (pow x 2)) (* 2 (/ 1 (pow x 3))))) (* 1/8 (/ 1 x))))>
#<alt (* 1/16 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8) x)) 1/16)))>
#<alt (/ -2 x)>
#<alt (/ (- (* -1/2 x) 2) x)>
#<alt (/ (- (* x (- (* 1/8 x) 1/2)) 2) x)>
#<alt (/ (- (* x (- (* x (+ 1/8 (* 3/32 x))) 1/2)) 2) x)>
#<alt (/ -16 (pow x 3))>
#<alt (* -1 (/ (+ 16 (* 32 (/ 1 x))) (pow x 3)))>
#<alt (/ (- (/ 64 (pow x 2)) (+ 16 (* 32 (/ 1 x)))) (pow x 3))>
#<alt (/ (- (+ (* 384 (/ 1 (pow x 3))) (/ 64 (pow x 2))) (+ 16 (* 32 (/ 1 x)))) (pow x 3))>
#<alt (/ -16 (pow x 3))>
#<alt (* -1 (/ (+ 16 (* 32 (/ 1 x))) (pow x 3)))>
#<alt (* -1 (/ (+ 16 (* -1 (/ (- (* 64 (/ 1 x)) 32) x))) (pow x 3)))>
#<alt (* -1 (/ (+ 16 (* -1 (/ (- (+ (* 64 (/ 1 x)) (/ 384 (pow x 2))) 32) x))) (pow x 3)))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/8 x) 1/2))>
#<alt (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2))>
#<alt (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2))>
#<alt (* -1/16 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16))>
#<alt (* (pow x 3) (- (* 1/8 (/ 1 x)) (+ 1/16 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 3) (- (* 1/8 (/ 1 x)) (+ 1/16 (/ 1/2 (pow x 2)))))>
#<alt (* -1/16 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (/ -2 x)>
#<alt (/ (- (* -5/2 x) 2) x)>
#<alt (/ (- (* x (- (* -3/8 x) 5/2)) 2) x)>
#<alt (/ (- (* x (- (* x (- (* 7/32 x) 3/8)) 5/2)) 2) x)>
#<alt (* -1/16 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16))>
#<alt (* (pow x 3) (- (* 1/8 (/ 1 x)) (+ 1/16 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* -1 (/ (+ 1/2 (* 2 (/ 1 x))) (pow x 2))) (* 1/8 (/ 1 x))) 1/16))>
#<alt (* -1/16 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/16 (* -1 (/ (+ 1/8 (* -1 (/ (+ 1/2 (* 2 (/ 1 x))) x))) x)))))>

Calls

66 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/ x (* (- -1/16 (/ (+ (/ 1/2 x) (+ (/ 2 (* x x)) -1/8)) x)) (- 0 (* x (* x x)))))
0.0ms	x	@	-inf	(/ (+ 1 (pow (+ x 1) 1/2)) x)
0.0ms	x	@	0	(/ 2 (* x x))
0.0ms	x	@	-inf	(/ x (- (/ 1 (- 0 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) (/ (* (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))) (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) (- 0 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))))))
0.0ms	x	@	0	(/ x (- (/ 1 (- 0 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) (/ (* (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))) (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) (- 0 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))))))

rewrite420.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

3164×	`fma-lowering-fma.f32`
3164×	`fma-lowering-fma.f64`
2106×	`-lowering-.f32`
2106×	`-lowering-.f64`
1928×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	268
1	359	236
2	3811	236
0	8279	236

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 506

Calls

Call 1

Inputs
(/ 1 (/ (+ 1 (pow (+ x 1) 1/2)) x))
(/ (+ 1 (pow (+ x 1) 1/2)) x)
(+ 1 (pow (+ x 1) 1/2))
(pow (+ x 1) 1/2)
(/ 1 (/ 2 x))
(/ 2 x)
(/ 1 (/ (+ 2 (* x (+ 1/2 (* x -1/8)))) x))
(/ (+ 2 (* x (+ 1/2 (* x -1/8)))) x)
(+ 2 (* x (+ 1/2 (* x -1/8))))
(* x (+ 1/2 (* x -1/8)))
(/ x (* (- -1/16 (/ (+ (/ 1/2 x) (+ (/ 2 (* x x)) -1/8)) x)) (- 0 (* x (* x x)))))
(* (- -1/16 (/ (+ (/ 1/2 x) (+ (/ 2 (* x x)) -1/8)) x)) (- 0 (* x (* x x))))
(- -1/16 (/ (+ (/ 1/2 x) (+ (/ 2 (* x x)) -1/8)) x))
(/ (+ (/ 1/2 x) (+ (/ 2 (* x x)) -1/8)) x)
(/ x (- (/ 1 (- 0 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) (/ (* (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))) (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) (- 0 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))))))
(- (/ 1 (- 0 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) (/ (* (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))) (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) (- 0 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))))
(/ 1 (- 0 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))))
(- 0 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))
(* x -1/8)
(/ 2 (* x x))
(* x (* x x))
(/ (* (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))) (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) (- 0 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))))

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) x)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) x))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) x))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.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 binary64) x)))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) x)) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) x))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) x))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) x))
(*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) x) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(+.f64 (sqrt.f64 (+.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 binary64) x)))) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.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 binary64) x))) (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 x)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (sqrt.f64 (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x)))
(/.f64 (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log1p.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)))
(neg.f64 (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))
(pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64))))) x)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))) x))
(/.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))))) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))) x) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))))))
(.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64))))) (-.f64 #s(literal 0 binary64) x))))
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(fma.f64 (*.f64 x x) x #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) #s(literal 0 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x))))
(pow.f64 x #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(neg.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))))) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 x (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) #s(literal 1 binary64)) (.f64 x (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))) #s(literal 1 binary64)))) (.f64 x (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (.f64 x (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))))) (.f64 x (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (.f64 x (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))) (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (.f64 x (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))) (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))))
(pow.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (.f64 x (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (.f64 x (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))
(.f64 (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))
(.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))
(.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))

simplify291.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

3438×	`-lowering-.f32`
3438×	`-lowering-.f64`
3266×	`+-lowering-+.f64`
3266×	`+-lowering-+.f32`
1150×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	387	2369
1	1192	2119
2	4141	2086
0	8689	2086

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))
(sqrt x)
(- (sqrt x) 1)
(- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)
(- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))
(* -1 (sqrt x))
(+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))
(/ 2 x)
(/ (+ 2 (* 1/2 x)) x)
(/ (+ 2 (* x (+ 1/2 (* -1/8 x)))) x)
(/ (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) x)
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (/ 1 x))
(+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))
(+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (- (* 1/2 (sqrt (/ 1 x))) 1) x)))
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x)) 1) x)))
2
(+ 2 (* 1/2 x))
(+ 2 (* x (+ 1/2 (* -1/8 x))))
(+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (/ 1 x)))
(* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -3/128 x))) 1/8))))
(/ -8 x)
(* -1 (/ (+ 8 (* 32 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 32 (* 256 (/ 1 x))) x)) 8) x)
(/ (- (* -1 (/ (+ 256 (* 1536 (/ 1 x))) (pow x 2))) (+ 8 (* 32 (/ 1 x)))) x)
(/ -8 x)
(* -1 (/ (+ 8 (* 32 (/ 1 x))) x))
(* -1 (/ (+ 8 (+ (* 32 (/ 1 x)) (/ 256 (pow x 2)))) x))
(* -1 (/ (+ 8 (* -1 (/ (- (* -1 (/ (+ 256 (* 1536 (/ 1 x))) x)) 32) x))) x))
(/ 2 x)
(/ (+ 2 (* 1/2 x)) x)
(/ (+ 2 (* x (+ 1/2 (* -1/8 x)))) x)
(/ (+ 2 (* x (+ 1/2 (* -1/8 x)))) x)
(* -1/8 x)
(* x (- (* 1/2 (/ 1 x)) 1/8))
(* x (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))
(* x (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))
(* -1/8 x)
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 1/8 (* -1 (/ (+ 1/2 (* 2 (/ 1 x))) x)))))
(* -1 (* x (+ 1/8 (* -1 (/ (+ 1/2 (* 2 (/ 1 x))) x)))))
2
(+ 2 (* 1/2 x))
(+ 2 (* x (+ 1/2 (* -1/8 x))))
(+ 2 (* x (+ 1/2 (* -1/8 x))))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* -1/8 x)))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))
(/ 16 (pow x 2))
(/ (+ 16 (* 32 (/ 1 x))) (pow x 2))
(/ (- (+ 16 (* 32 (/ 1 x))) (/ 64 (pow x 2))) (pow x 2))
(/ (+ 16 (+ (* -1 (/ (+ 64 (* 896 (/ 1 x))) (pow x 2))) (* 32 (/ 1 x)))) (pow x 2))
(/ 16 (pow x 2))
(/ (+ 16 (* 32 (/ 1 x))) (pow x 2))
(/ (+ 16 (* -1 (/ (- (* 64 (/ 1 x)) 32) x))) (pow x 2))
(/ (+ 16 (* -1 (/ (- (+ (* 64 (/ 1 x)) (/ 896 (pow x 2))) 32) x))) (pow x 2))
2
(+ 2 (* 1/2 x))
(+ 2 (* x (+ 1/2 (* -1/8 x))))
(+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(* 1/16 (pow x 3))
(* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(* (pow x 3) (- (+ 1/16 (+ (/ 1/2 (pow x 2)) (* 2 (/ 1 (pow x 3))))) (* 1/8 (/ 1 x))))
(* 1/16 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8) x)) 1/16)))
(/ -2 (pow x 3))
(/ (- (* -1/2 x) 2) (pow x 3))
(/ (- (* x (- (* 1/8 x) 1/2)) 2) (pow x 3))
(/ (- (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2)) 2) (pow x 3))
-1/16
(- (* 1/8 (/ 1 x)) 1/16)
(- (* 1/8 (/ 1 x)) (+ 1/16 (/ 1/2 (pow x 2))))
(- (+ (* -1 (/ (+ 1/2 (* 2 (/ 1 x))) (pow x 2))) (* 1/8 (/ 1 x))) 1/16)
-1/16
(- (* 1/8 (/ 1 x)) 1/16)
(- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)
(- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8) x)) 1/16)
(/ 2 (pow x 3))
(/ (+ 2 (* 1/2 x)) (pow x 3))
(/ (+ 2 (* x (+ 1/2 (* -1/8 x)))) (pow x 3))
(/ (+ 2 (* x (+ 1/2 (* -1/8 x)))) (pow x 3))
(/ -1/8 x)
(/ (- (* 1/2 (/ 1 x)) 1/8) x)
(/ (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8) x)
(/ (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8) x)
(/ -1/8 x)
(* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))
(* -1 (/ (+ 1/8 (* -1 (/ (+ 1/2 (* 2 (/ 1 x))) x))) x))
(* -1 (/ (+ 1/8 (* -1 (/ (+ 1/2 (* 2 (/ 1 x))) x))) x))
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))
(/ 16 (pow x 2))
(/ (+ 16 (* 32 (/ 1 x))) (pow x 2))
(/ (- (+ 16 (* 32 (/ 1 x))) (/ 64 (pow x 2))) (pow x 2))
(/ (+ 16 (+ (* -1 (/ (+ 64 (* 896 (/ 1 x))) (pow x 2))) (* 32 (/ 1 x)))) (pow x 2))
(/ 16 (pow x 2))
(/ (+ 16 (* 32 (/ 1 x))) (pow x 2))
(/ (+ 16 (* -1 (/ (- (* 64 (/ 1 x)) 32) x))) (pow x 2))
(/ (+ 16 (* -1 (/ (- (+ (* 64 (/ 1 x)) (/ 896 (pow x 2))) 32) x))) (pow x 2))
2
(+ 2 (* 1/2 x))
(+ 2 (* x (+ 1/2 (* -1/8 x))))
(+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(* 1/16 (pow x 3))
(* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(* (pow x 3) (- (+ 1/16 (+ (/ 1/2 (pow x 2)) (* 2 (/ 1 (pow x 3))))) (* 1/8 (/ 1 x))))
(* 1/16 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8) x)) 1/16)))
(/ -2 x)
(/ (- (* -1/2 x) 2) x)
(/ (- (* x (- (* 1/8 x) 1/2)) 2) x)
(/ (- (* x (- (* x (+ 1/8 (* 3/32 x))) 1/2)) 2) x)
(/ -16 (pow x 3))
(* -1 (/ (+ 16 (* 32 (/ 1 x))) (pow x 3)))
(/ (- (/ 64 (pow x 2)) (+ 16 (* 32 (/ 1 x)))) (pow x 3))
(/ (- (+ (* 384 (/ 1 (pow x 3))) (/ 64 (pow x 2))) (+ 16 (* 32 (/ 1 x)))) (pow x 3))
(/ -16 (pow x 3))
(* -1 (/ (+ 16 (* 32 (/ 1 x))) (pow x 3)))
(* -1 (/ (+ 16 (* -1 (/ (- (* 64 (/ 1 x)) 32) x))) (pow x 3)))
(* -1 (/ (+ 16 (* -1 (/ (- (+ (* 64 (/ 1 x)) (/ 384 (pow x 2))) 32) x))) (pow x 3)))
(* -1/2 x)
(* x (- (* 1/8 x) 1/2))
(* x (- (* x (+ 1/8 (* -1/16 x))) 1/2))
(* x (- (* x (+ 1/8 (* -1/16 x))) 1/2))
(* -1/16 (pow x 3))
(* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16))
(* (pow x 3) (- (* 1/8 (/ 1 x)) (+ 1/16 (/ 1/2 (pow x 2)))))
(* (pow x 3) (- (* 1/8 (/ 1 x)) (+ 1/16 (/ 1/2 (pow x 2)))))
(* -1/16 (pow x 3))
(* -1 (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x)))))
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ -2 x)
(/ (- (* -5/2 x) 2) x)
(/ (- (* x (- (* -3/8 x) 5/2)) 2) x)
(/ (- (* x (- (* x (- (* 7/32 x) 3/8)) 5/2)) 2) x)
(* -1/16 (pow x 3))
(* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16))
(* (pow x 3) (- (* 1/8 (/ 1 x)) (+ 1/16 (/ 1/2 (pow x 2)))))
(* (pow x 3) (- (+ (* -1 (/ (+ 1/2 (* 2 (/ 1 x))) (pow x 2))) (* 1/8 (/ 1 x))) 1/16))
(* -1/16 (pow x 3))
(* -1 (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 1/16 (* -1 (/ (+ 1/8 (* -1 (/ (+ 1/2 (* 2 (/ 1 x))) x))) x)))))

Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/8 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 x #s(literal -5/128 binary64))))))))
(sqrt x)
(sqrt.f64 x)
(- (sqrt x) 1)
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
(- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)
(+.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))))
(- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))
(+.f64 (-.f64 (+.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) (-.f64 (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)))
(* -1 (sqrt x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))
(-.f64 #s(literal -1 binary64) (sqrt.f64 x))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))
(-.f64 (/.f64 (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x)) (sqrt.f64 x))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))
(-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))))) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (.f64 x (*.f64 x x)))))) x) x)))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* 1/2 x)) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) x)
(/ (+ 2 (* x (+ 1/2 (* -1/8 x)))) x)
(/.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)) x)
(/ (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) x)
(/.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 2 binary64)) x)
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(+ (sqrt (/ 1 x)) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (- (* 1/2 (sqrt (/ 1 x))) 1) x)))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x)) 1) x)))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) x))
2
#s(literal 2 binary64)
(+ 2 (* 1/2 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(+ 2 (* x (+ 1/2 (* -1/8 x))))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64))
(+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 2 binary64))
(sqrt x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
(+.f64 (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) #s(literal 1 binary64))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 1 binary64))
(sqrt x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(.f64 x (+.f64 (+.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(-.f64 #s(literal 0 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(-.f64 #s(literal 0 binary64) (.f64 x (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(.f64 x (+.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (/.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
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(/.f64 #s(literal -2 binary64) x)
(/ (- (* -1/2 x) 2) x)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* x (- (* 1/8 x) 1/2)) 2) x)
(+.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/8 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x))
(/ (- (* x (- (* x (+ 1/8 (* 3/32 x))) 1/2)) 2) x)
(+.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal 3/32 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x))
(/ -16 (pow x 3))
(/.f64 #s(literal -16 binary64) (.f64 x (.f64 x x)))
(* -1 (/ (+ 16 (* 32 (/ 1 x))) (pow x 3)))
(/.f64 (+.f64 #s(literal -16 binary64) (/.f64 #s(literal -32 binary64) x)) (.f64 x (.f64 x x)))
(/ (- (/ 64 (pow x 2)) (+ 16 (* 32 (/ 1 x)))) (pow x 3))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 64 binary64) x) #s(literal -32 binary64)) x) #s(literal -16 binary64)) (.f64 x (.f64 x x)))
(/ (- (+ (* 384 (/ 1 (pow x 3))) (/ 64 (pow x 2))) (+ 16 (* 32 (/ 1 x)))) (pow x 3))
(/.f64 (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 64 binary64) x) #s(literal -32 binary64)) x) #s(literal -16 binary64)) (/.f64 #s(literal 384 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))
(/ -16 (pow x 3))
(/.f64 #s(literal -16 binary64) (.f64 x (.f64 x x)))
(* -1 (/ (+ 16 (* 32 (/ 1 x))) (pow x 3)))
(/.f64 (+.f64 #s(literal -16 binary64) (/.f64 #s(literal -32 binary64) x)) (.f64 x (.f64 x x)))
(* -1 (/ (+ 16 (* -1 (/ (- (* 64 (/ 1 x)) 32) x))) (pow x 3)))
(/.f64 (-.f64 #s(literal 16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 64 binary64) x) #s(literal -32 binary64)) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
(* -1 (/ (+ 16 (* -1 (/ (- (+ (* 64 (/ 1 x)) (/ 384 (pow x 2))) 32) x))) (pow x 3)))
(/.f64 (-.f64 #s(literal 16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 64 binary64) x) (+.f64 (/.f64 #s(literal 384 binary64) (.f64 x x)) #s(literal -32 binary64))) x)) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x))))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* 1/8 x) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/8 binary64))))
(* x (- (* x (+ 1/8 (* -1/16 x))) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal -1/16 binary64))))))
(* x (- (* x (+ 1/8 (* -1/16 x))) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal -1/16 binary64))))))
(* -1/16 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/16 binary64)))
(* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16))
(.f64 (.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/16 binary64)))
(* (pow x 3) (- (* 1/8 (/ 1 x)) (+ 1/16 (/ 1/2 (pow x 2)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 3) (- (* 1/8 (/ 1 x)) (+ 1/16 (/ 1/2 (pow x 2)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* -1/16 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/16 binary64)))
(* -1 (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/16 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/8 binary64) x))))
(* -1 (* (pow x 3) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* -1 (* (pow x 3) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -5/2 x) 2) x)
(+.f64 #s(literal -5/2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* x (- (* -3/8 x) 5/2)) 2) x)
(+.f64 (.f64 (+.f64 #s(literal -5/2 binary64) (.f64 x #s(literal -3/8 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x))
(/ (- (* x (- (* x (- (* 7/32 x) 3/8)) 5/2)) 2) x)
(+.f64 (.f64 (+.f64 #s(literal -5/2 binary64) (.f64 x (+.f64 #s(literal -3/8 binary64) (*.f64 x #s(literal 7/32 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x))
(* -1/16 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/16 binary64)))
(* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16))
(.f64 (.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/16 binary64)))
(* (pow x 3) (- (* 1/8 (/ 1 x)) (+ 1/16 (/ 1/2 (pow x 2)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 3) (- (+ (* -1 (/ (+ 1/2 (* 2 (/ 1 x))) (pow x 2))) (* 1/8 (/ 1 x))) 1/16))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)))
(* -1/16 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/16 binary64)))
(* -1 (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/16 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/8 binary64) x))))
(* -1 (* (pow x 3) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* -1 (* (pow x 3) (+ 1/16 (* -1 (/ (+ 1/8 (* -1 (/ (+ 1/2 (* 2 (/ 1 x))) x))) x)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)))

eval115.0ms (1.4%)

Compiler: Compiled 38764 to 2401 computations (93.8% saved)

prune141.0ms (1.7%)

Pruning

30 alts after pruning (22 fresh and 8 done)

	Pruned	Kept	Total
New	820	13	833
Fresh	5	9	14
Picked	3	2	5
Done	0	6	6
Total	828	30	858

Accuracy

100.0%

Counts

858 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.3%	(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))) (.f64 x (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))))
	5.0%	(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))) (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (-.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))))
▶	4.8%	(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))))))
	6.4%	(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (+.f64 (.f64 (+.f64 #s(literal -5/2 binary64) (*.f64 x #s(literal -3/8 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x))))
	6.0%	(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))))) (+.f64 #s(literal -5/2 binary64) (/.f64 #s(literal -2 binary64) x))))
	6.5%	(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))))))
	5.0%	(/.f64 x (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))))))
▶	66.6%	(/.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
	67.4%	(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 2 binary64)))
✓	66.6%	(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
▶	67.7%	(/.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
✓	67.4%	(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 1 binary64))))
	66.6%	(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 1 binary64))))
	67.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	38.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
	21.4%	(/.f64 x (.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) x)) x) x) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))))
	22.4%	(/.f64 x (.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))))
▶	22.4%	(/.f64 x (neg.f64 (.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) x)) (.f64 x (.f64 x x)))))
✓	66.8%	(/.f64 x #s(literal 2 binary64))
	4.3%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))) (.f64 x (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) x))
	67.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) x))
▶	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x))
✓	66.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))) x))
✓	66.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
	33.5%	(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
	66.6%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))))) x)
	34.8%	(sqrt.f64 x)
	39.8%	(neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))))

Compiler

Compiled 1300 to 663 computations (49% saved)

simplify510.0ms (6.1%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))))
✓	cost-diff	128	(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))))
✓	cost-diff	128	(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))))))
✓	cost-diff	0	(-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) x))
✓	cost-diff	0	(.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) x)) (.f64 x (.f64 x x)))
✓	cost-diff	64	(neg.f64 (.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) x)) (.f64 x (.f64 x x))))
✓	cost-diff	192	(/.f64 x (neg.f64 (.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) x)) (.f64 x (.f64 x x)))))
✓	cost-diff	0	(/.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))
✓	cost-diff	128	(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) (.f64 x (.f64 x #s(literal -1/8 binary64))))
✓	cost-diff	128	(/.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓	cost-diff	0	(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x))

Rules

2470×	`-lowering-.f32`
2470×	`-lowering-.f64`
2110×	`fma-lowering-fma.f32`
2110×	`fma-lowering-fma.f64`
2004×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	519
1	141	472
2	425	467
3	1818	458
4	6360	458
0	8662	458

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (/ (+ (sqrt (+ 1 x)) 1) x))
1
(/ (+ (sqrt (+ 1 x)) 1) x)
(+ (sqrt (+ 1 x)) 1)
(sqrt (+ 1 x))
(+ 1 x)
x
(/ x (+ (* x 1/2) 2))
x
(+ (* x 1/2) 2)
(* x 1/2)
1/2
2
(/ x (+ (+ 2 (/ x 2)) (* x (* x -1/8))))
x
(+ (+ 2 (/ x 2)) (* x (* x -1/8)))
(+ 2 (/ x 2))
2
(/ x 2)
(* x (* x -1/8))
(* x -1/8)
-1/8
(/ x (neg (* (- -1/16 (/ (+ (/ 1/2 x) (+ -1/8 (/ 2 (* x x)))) x)) (* x (* x x)))))
x
(neg (* (- -1/16 (/ (+ (/ 1/2 x) (+ -1/8 (/ 2 (* x x)))) x)) (* x (* x x))))
(* (- -1/16 (/ (+ (/ 1/2 x) (+ -1/8 (/ 2 (* x x)))) x)) (* x (* x x)))
(- -1/16 (/ (+ (/ 1/2 x) (+ -1/8 (/ 2 (* x x)))) x))
-1/16
(/ (+ (/ 1/2 x) (+ -1/8 (/ 2 (* x x)))) x)
(+ (/ 1/2 x) (+ -1/8 (/ 2 (* x x))))
(/ 1/2 x)
1/2
(+ -1/8 (/ 2 (* x x)))
-1/8
(/ 2 (* x x))
2
(* x x)
(* x (* x x))
(/ x (- (/ 1 (- 0 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) (/ (* (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))) (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) (* (* x (* x x)) (+ -1/16 (/ (+ 1/8 (/ -1/2 x)) x))))))
x
(- (/ 1 (- 0 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) (/ (* (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))) (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) (* (* x (* x x)) (+ -1/16 (/ (+ 1/8 (/ -1/2 x)) x)))))
(/ 1 (- 0 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))))
1
(- 0 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))
0
(* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))
(+ 1/2 (* x (+ -1/8 (* x 1/16))))
1/2
(* x (+ -1/8 (* x 1/16)))
(+ -1/8 (* x 1/16))
-1/8
(* x 1/16)
1/16
(/ (* (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))) (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) (* (* x (* x x)) (+ -1/16 (/ (+ 1/8 (/ -1/2 x)) x))))
(* (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))) (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))))
(+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))
(* (* x (* x x)) (+ -1/16 (/ (+ 1/8 (/ -1/2 x)) x)))
(* x (* x x))
(* x x)
(+ -1/16 (/ (+ 1/8 (/ -1/2 x)) x))
-1/16
(/ (+ 1/8 (/ -1/2 x)) x)
(+ 1/8 (/ -1/2 x))
1/8
(/ -1/2 x)
-1/2

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

localize446.0ms (5.3%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	95.5%	(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))))))
✓	accuracy	70.6%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))))
✓	accuracy	56.9%	(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
✓	accuracy	39.1%	(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.6%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	accuracy	95.5%	(/.f64 x (neg.f64 (.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) x)) (.f64 x (.f64 x x)))))
✓	accuracy	55.3%	(.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) x)) (.f64 x (.f64 x x)))
✓	accuracy	100.0%	(.f64 x (.f64 x #s(literal -1/8 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal -1/8 binary64))
✓	accuracy	100.0%	(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) (.f64 x (.f64 x #s(literal -1/8 binary64))))
✓	accuracy	81.8%	(/.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
✓	accuracy	100.0%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓	accuracy	100.0%	(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
✓	accuracy	99.8%	(/.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x))

Results

169.0ms	64×	2	valid
119.0ms	99×	1	valid
54.0ms	93×	0	valid

Compiler

Compiled 552 to 53 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 206.0ms

ival-div: 66.0ms (32% of total)

backward-pass: 51.0ms (24.7% of total)

ival-mult: 40.0ms (19.4% of total)

ival-add: 32.0ms (15.5% of total)

ival-sub: 8.0ms (3.9% of total)

ival-sqrt: 4.0ms (1.9% of total)

ival-neg: 3.0ms (1.5% of total)

const: 2.0ms (1% of total)

series9.0ms (0.1%)

Counts

25 → 300

Calls

Call 1

Inputs
#<alt (/ 1 (/ (+ (sqrt (+ 1 x)) 1) x))>
#<alt (/ (+ (sqrt (+ 1 x)) 1) x)>
#<alt (+ (sqrt (+ 1 x)) 1)>
#<alt (sqrt (+ 1 x))>
#<alt (/ x (+ (* x 1/2) 2))>
#<alt (+ (* x 1/2) 2)>
#<alt (* x 1/2)>
#<alt (/ x (+ (+ 2 (/ x 2)) (* x (* x -1/8))))>
#<alt (+ (+ 2 (/ x 2)) (* x (* x -1/8)))>
#<alt (+ 2 (/ x 2))>
#<alt (/ x 2)>
#<alt (/ x (neg (* (- -1/16 (/ (+ (/ 1/2 x) (+ -1/8 (/ 2 (* x x)))) x)) (* x (* x x)))))>
#<alt (neg (* (- -1/16 (/ (+ (/ 1/2 x) (+ -1/8 (/ 2 (* x x)))) x)) (* x (* x x))))>
#<alt (* (- -1/16 (/ (+ (/ 1/2 x) (+ -1/8 (/ 2 (* x x)))) x)) (* x (* x x)))>
#<alt (- -1/16 (/ (+ (/ 1/2 x) (+ -1/8 (/ 2 (* x x)))) x))>
#<alt (/ x (- (/ 1 (- 0 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) (/ (* (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))) (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) (* (* x (* x x)) (+ -1/16 (/ (+ 1/8 (/ -1/2 x)) x))))))>
#<alt (- (/ 1 (- 0 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) (/ (* (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))) (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) (* (* x (* x x)) (+ -1/16 (/ (+ 1/8 (/ -1/2 x)) x)))))>
#<alt (/ 1 (- 0 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))))>
#<alt (- 0 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))>
#<alt (* x -1/8)>
#<alt (* x (* x -1/8))>
#<alt (/ 2 (* x x))>
#<alt (* x (* x x))>
#<alt (* (* x (* x x)) (+ -1/16 (/ (+ 1/8 (/ -1/2 x)) x)))>
#<alt (/ (* (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))) (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) (* (* x (* x x)) (+ -1/16 (/ (+ 1/8 (/ -1/2 x)) x))))>

Outputs
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))>
#<alt (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))>
#<alt (sqrt x)>
#<alt (- (sqrt x) 1)>
#<alt (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)>
#<alt (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))>
#<alt (* -1 (sqrt x))>
#<alt (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))>
#<alt (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* 1/2 x)) x)>
#<alt (/ (+ 2 (* x (+ 1/2 (* -1/8 x)))) x)>
#<alt (/ (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) x)>
#<alt (sqrt (/ 1 x))>
#<alt (+ (sqrt (/ 1 x)) (/ 1 x))>
#<alt (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))>
#<alt (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))>
#<alt (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))>
#<alt (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (- (* 1/2 (sqrt (/ 1 x))) 1) x)))>
#<alt (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x)) 1) x)))>
#<alt 2>
#<alt (+ 2 (* 1/2 x))>
#<alt (+ 2 (* x (+ 1/2 (* -1/8 x))))>
#<alt (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (/ 1 x)))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* -1/8 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* x (- (* 1/32 x) 1/8))))>
#<alt (* x (+ 1/2 (* x (- (* x (+ 1/32 (* -1/128 x))) 1/8))))>
#<alt 2>
#<alt (- 2 (* 8 (/ 1 x)))>
#<alt (- (+ 2 (/ 32 (pow x 2))) (* 8 (/ 1 x)))>
#<alt (- (+ 2 (/ 32 (pow x 2))) (+ (* 8 (/ 1 x)) (* 128 (/ 1 (pow x 3)))))>
#<alt 2>
#<alt (- 2 (* 8 (/ 1 x)))>
#<alt (+ 2 (* -1 (/ (- 8 (* 32 (/ 1 x))) x)))>
#<alt (+ 2 (* -1 (/ (+ 8 (* -1 (/ (- 32 (* 128 (/ 1 x))) x))) x)))>
#<alt 2>
#<alt (+ 2 (* 1/2 x))>
#<alt (+ 2 (* 1/2 x))>
#<alt (+ 2 (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 2 (/ 1 x))))>
#<alt (* x (+ 1/2 (* 2 (/ 1 x))))>
#<alt (* x (+ 1/2 (* 2 (/ 1 x))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 2 (/ 1 x))))>
#<alt (* x (+ 1/2 (* 2 (/ 1 x))))>
#<alt (* x (+ 1/2 (* 2 (/ 1 x))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))>
#<alt (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -3/128 x))) 1/8))))>
#<alt (/ -8 x)>
#<alt (* -1 (/ (+ 8 (* 32 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 32 (* 256 (/ 1 x))) x)) 8) x)>
#<alt (/ (- (* -1 (/ (+ 256 (* 1536 (/ 1 x))) (pow x 2))) (+ 8 (* 32 (/ 1 x)))) x)>
#<alt (/ -8 x)>
#<alt (* -1 (/ (+ 8 (* 32 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 8 (+ (* 32 (/ 1 x)) (/ 256 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 8 (* -1 (/ (- (* -1 (/ (+ 256 (* 1536 (/ 1 x))) x)) 32) x))) x))>
#<alt 2>
#<alt (+ 2 (* 1/2 x))>
#<alt (+ 2 (* x (+ 1/2 (* -1/8 x))))>
#<alt (+ 2 (* x (+ 1/2 (* -1/8 x))))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))>
#<alt 2>
#<alt (+ 2 (* 1/2 x))>
#<alt (+ 2 (* 1/2 x))>
#<alt (+ 2 (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 2 (/ 1 x))))>
#<alt (* x (+ 1/2 (* 2 (/ 1 x))))>
#<alt (* x (+ 1/2 (* 2 (/ 1 x))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 2 (/ 1 x))))>
#<alt (* x (+ 1/2 (* 2 (/ 1 x))))>
#<alt (* x (+ 1/2 (* 2 (/ 1 x))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))>
#<alt (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))>
#<alt (/ 16 (pow x 2))>
#<alt (/ (+ 16 (* 32 (/ 1 x))) (pow x 2))>
#<alt (/ (- (+ 16 (* 32 (/ 1 x))) (/ 64 (pow x 2))) (pow x 2))>
#<alt (/ (+ 16 (+ (* -1 (/ (+ 64 (* 896 (/ 1 x))) (pow x 2))) (* 32 (/ 1 x)))) (pow x 2))>
#<alt (/ 16 (pow x 2))>
#<alt (/ (+ 16 (* 32 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 16 (* -1 (/ (- (* 64 (/ 1 x)) 32) x))) (pow x 2))>
#<alt (/ (+ 16 (* -1 (/ (- (+ (* 64 (/ 1 x)) (/ 896 (pow x 2))) 32) x))) (pow x 2))>
#<alt 2>
#<alt (+ 2 (* 1/2 x))>
#<alt (+ 2 (* x (+ 1/2 (* -1/8 x))))>
#<alt (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))>
#<alt (* 1/16 (pow x 3))>
#<alt (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/16 (+ (/ 1/2 (pow x 2)) (* 2 (/ 1 (pow x 3))))) (* 1/8 (/ 1 x))))>
#<alt (* 1/16 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8) x)) 1/16)))>
#<alt -2>
#<alt (- (* -1/2 x) 2)>
#<alt (- (* x (- (* 1/8 x) 1/2)) 2)>
#<alt (- (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2)) 2)>
#<alt (* -1/16 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16))>
#<alt (* (pow x 3) (- (* 1/8 (/ 1 x)) (+ 1/16 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* -1 (/ (+ 1/2 (* 2 (/ 1 x))) (pow x 2))) (* 1/8 (/ 1 x))) 1/16))>
#<alt (* -1/16 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/16 (* -1 (/ (+ 1/8 (* -1 (/ (+ 1/2 (* 2 (/ 1 x))) x))) x)))))>
#<alt (/ -2 (pow x 3))>
#<alt (/ (- (* -1/2 x) 2) (pow x 3))>
#<alt (/ (- (* x (- (* 1/8 x) 1/2)) 2) (pow x 3))>
#<alt (/ (- (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2)) 2) (pow x 3))>
#<alt -1/16>
#<alt (- (* 1/8 (/ 1 x)) 1/16)>
#<alt (- (* 1/8 (/ 1 x)) (+ 1/16 (/ 1/2 (pow x 2))))>
#<alt (- (+ (* -1 (/ (+ 1/2 (* 2 (/ 1 x))) (pow x 2))) (* 1/8 (/ 1 x))) 1/16)>
#<alt -1/16>
#<alt (- (* 1/8 (/ 1 x)) 1/16)>
#<alt (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)>
#<alt (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8) x)) 1/16)>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))>
#<alt (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))>
#<alt (/ 16 (pow x 2))>
#<alt (/ (+ 16 (* 32 (/ 1 x))) (pow x 2))>
#<alt (/ (- (+ 16 (* 32 (/ 1 x))) (/ 64 (pow x 2))) (pow x 2))>
#<alt (/ (+ 16 (+ (* -1 (/ (+ 64 (* 896 (/ 1 x))) (pow x 2))) (* 32 (/ 1 x)))) (pow x 2))>
#<alt (/ 16 (pow x 2))>
#<alt (/ (+ 16 (* 32 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 16 (* -1 (/ (- (* 64 (/ 1 x)) 32) x))) (pow x 2))>
#<alt (/ (+ 16 (* -1 (/ (- (+ (* 64 (/ 1 x)) (/ 896 (pow x 2))) 32) x))) (pow x 2))>
#<alt 2>
#<alt (+ 2 (* 1/2 x))>
#<alt (+ 2 (* x (+ 1/2 (* -1/8 x))))>
#<alt (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))>
#<alt (* 1/16 (pow x 3))>
#<alt (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/16 (+ (/ 1/2 (pow x 2)) (* 2 (/ 1 (pow x 3))))) (* 1/8 (/ 1 x))))>
#<alt (* 1/16 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8) x)) 1/16)))>
#<alt (/ -2 x)>
#<alt (/ (- (* -1/2 x) 2) x)>
#<alt (/ (- (* x (- (* 1/8 x) 1/2)) 2) x)>
#<alt (/ (- (* x (- (* x (+ 1/8 (* 3/32 x))) 1/2)) 2) x)>
#<alt (/ -16 (pow x 3))>
#<alt (* -1 (/ (+ 16 (* 32 (/ 1 x))) (pow x 3)))>
#<alt (/ (- (/ 64 (pow x 2)) (+ 16 (* 32 (/ 1 x)))) (pow x 3))>
#<alt (/ (- (+ (* 384 (/ 1 (pow x 3))) (/ 64 (pow x 2))) (+ 16 (* 32 (/ 1 x)))) (pow x 3))>
#<alt (/ -16 (pow x 3))>
#<alt (* -1 (/ (+ 16 (* 32 (/ 1 x))) (pow x 3)))>
#<alt (* -1 (/ (+ 16 (* -1 (/ (- (* 64 (/ 1 x)) 32) x))) (pow x 3)))>
#<alt (* -1 (/ (+ 16 (* -1 (/ (- (+ (* 64 (/ 1 x)) (/ 384 (pow x 2))) 32) x))) (pow x 3)))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/8 x) 1/2))>
#<alt (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2))>
#<alt (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2))>
#<alt (* -1/16 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16))>
#<alt (* (pow x 3) (- (* 1/8 (/ 1 x)) (+ 1/16 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 3) (- (* 1/8 (/ 1 x)) (+ 1/16 (/ 1/2 (pow x 2)))))>
#<alt (* -1/16 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/8 x) 1/2))>
#<alt (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2))>
#<alt (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2))>
#<alt (* -1/16 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16))>
#<alt (* (pow x 3) (- (* 1/8 (/ 1 x)) (+ 1/16 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 3) (- (* 1/8 (/ 1 x)) (+ 1/16 (/ 1/2 (pow x 2)))))>
#<alt (* -1/16 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x)))))>
#<alt (/ -2 x)>
#<alt (/ (- (* -5/2 x) 2) x)>
#<alt (/ (- (* x (- (* -3/8 x) 5/2)) 2) x)>
#<alt (/ (- (* x (- (* x (- (* 7/32 x) 3/8)) 5/2)) 2) x)>
#<alt (* -1/16 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16))>
#<alt (* (pow x 3) (- (* 1/8 (/ 1 x)) (+ 1/16 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* -1 (/ (+ 1/2 (* 2 (/ 1 x))) (pow x 2))) (* 1/8 (/ 1 x))) 1/16))>
#<alt (* -1/16 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/16 (* -1 (/ (+ 1/8 (* -1 (/ (+ 1/2 (* 2 (/ 1 x))) x))) x)))))>

Calls

75 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ x (- (/ 1 (- 0 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) (/ (* (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))) (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) (* (* x (* x x)) (+ -1/16 (/ (+ 1/8 (/ -1/2 x)) x))))))
0.0ms	x	@	-inf	(/ x (- (/ 1 (- 0 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) (/ (* (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))) (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) (* (* x (* x x)) (+ -1/16 (/ (+ 1/8 (/ -1/2 x)) x))))))
0.0ms	x	@	inf	(/ x (- (/ 1 (- 0 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) (/ (* (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))) (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) (* (* x (* x x)) (+ -1/16 (/ (+ 1/8 (/ -1/2 x)) x))))))
0.0ms	x	@	-inf	(* (* x (* x x)) (+ -1/16 (/ (+ 1/8 (/ -1/2 x)) x)))
0.0ms	x	@	inf	(/ x (+ (* x 1/2) 2))

rewrite349.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2728×	`-lowering-.f32`
2728×	`-lowering-.f64`
2388×	`fma-lowering-fma.f32`
2388×	`fma-lowering-fma.f64`
2200×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	316
1	410	290
2	4374	288
0	8040	288

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 551

Calls

Call 1

Inputs
(/ 1 (/ (+ (sqrt (+ 1 x)) 1) x))
(/ (+ (sqrt (+ 1 x)) 1) x)
(+ (sqrt (+ 1 x)) 1)
(sqrt (+ 1 x))
(/ x (+ (* x 1/2) 2))
(+ (* x 1/2) 2)
(* x 1/2)
(/ x (+ (+ 2 (/ x 2)) (* x (* x -1/8))))
(+ (+ 2 (/ x 2)) (* x (* x -1/8)))
(+ 2 (/ x 2))
(/ x 2)
(/ x (neg (* (- -1/16 (/ (+ (/ 1/2 x) (+ -1/8 (/ 2 (* x x)))) x)) (* x (* x x)))))
(neg (* (- -1/16 (/ (+ (/ 1/2 x) (+ -1/8 (/ 2 (* x x)))) x)) (* x (* x x))))
(* (- -1/16 (/ (+ (/ 1/2 x) (+ -1/8 (/ 2 (* x x)))) x)) (* x (* x x)))
(- -1/16 (/ (+ (/ 1/2 x) (+ -1/8 (/ 2 (* x x)))) x))
(/ x (- (/ 1 (- 0 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) (/ (* (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))) (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) (* (* x (* x x)) (+ -1/16 (/ (+ 1/8 (/ -1/2 x)) x))))))
(- (/ 1 (- 0 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) (/ (* (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))) (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) (* (* x (* x x)) (+ -1/16 (/ (+ 1/8 (/ -1/2 x)) x)))))
(/ 1 (- 0 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))))
(- 0 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))
(* x -1/8)
(* x (* x -1/8))
(/ 2 (* x x))
(* x (* x x))
(* (* x (* x x)) (+ -1/16 (/ (+ 1/8 (/ -1/2 x)) x)))
(/ (* (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))) (+ 1 (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) (* (* x (* x x)) (+ -1/16 (/ (+ 1/8 (/ -1/2 x)) x))))

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) x)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) x))
(/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 x (+.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) x))
(/.f64 (.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) x))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) x))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(pow.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64))
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(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
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(neg.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))))
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(fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
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(pow.f64 (/.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (.f64 x (*.f64 x x))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))))
(.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) x) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (.f64 (*.f64 x x) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))))
(.f64 (/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 x (.f64 x x))) (+.f64 #s(literal -1/4096 binary64) (.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x))))))) (+.f64 #s(literal 1/256 binary64) (.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) #s(literal -1/16 binary64)))))
(.f64 (/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 x (.f64 x x))) (-.f64 #s(literal 1/256 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)))))) (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))

simplify268.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

3170×	`-lowering-.f32`
3170×	`-lowering-.f64`
2680×	`+-lowering-+.f64`
2680×	`+-lowering-+.f32`
1138×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	413	2584
1	1298	2315
2	4365	2287
0	8368	2287

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

Inputs
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))
(sqrt x)
(- (sqrt x) 1)
(- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)
(- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))
(* -1 (sqrt x))
(+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))
(/ 2 x)
(/ (+ 2 (* 1/2 x)) x)
(/ (+ 2 (* x (+ 1/2 (* -1/8 x)))) x)
(/ (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) x)
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (/ 1 x))
(+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))
(+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (- (* 1/2 (sqrt (/ 1 x))) 1) x)))
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x)) 1) x)))
2
(+ 2 (* 1/2 x))
(+ 2 (* x (+ 1/2 (* -1/8 x))))
(+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (/ 1 x)))
(* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* x (- (* 1/32 x) 1/8))))
(* x (+ 1/2 (* x (- (* x (+ 1/32 (* -1/128 x))) 1/8))))
2
(- 2 (* 8 (/ 1 x)))
(- (+ 2 (/ 32 (pow x 2))) (* 8 (/ 1 x)))
(- (+ 2 (/ 32 (pow x 2))) (+ (* 8 (/ 1 x)) (* 128 (/ 1 (pow x 3)))))
2
(- 2 (* 8 (/ 1 x)))
(+ 2 (* -1 (/ (- 8 (* 32 (/ 1 x))) x)))
(+ 2 (* -1 (/ (+ 8 (* -1 (/ (- 32 (* 128 (/ 1 x))) x))) x)))
2
(+ 2 (* 1/2 x))
(+ 2 (* 1/2 x))
(+ 2 (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (* 2 (/ 1 x))))
(* x (+ 1/2 (* 2 (/ 1 x))))
(* x (+ 1/2 (* 2 (/ 1 x))))
(* 1/2 x)
(* x (+ 1/2 (* 2 (/ 1 x))))
(* x (+ 1/2 (* 2 (/ 1 x))))
(* x (+ 1/2 (* 2 (/ 1 x))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -3/128 x))) 1/8))))
(/ -8 x)
(* -1 (/ (+ 8 (* 32 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 32 (* 256 (/ 1 x))) x)) 8) x)
(/ (- (* -1 (/ (+ 256 (* 1536 (/ 1 x))) (pow x 2))) (+ 8 (* 32 (/ 1 x)))) x)
(/ -8 x)
(* -1 (/ (+ 8 (* 32 (/ 1 x))) x))
(* -1 (/ (+ 8 (+ (* 32 (/ 1 x)) (/ 256 (pow x 2)))) x))
(* -1 (/ (+ 8 (* -1 (/ (- (* -1 (/ (+ 256 (* 1536 (/ 1 x))) x)) 32) x))) x))
2
(+ 2 (* 1/2 x))
(+ 2 (* x (+ 1/2 (* -1/8 x))))
(+ 2 (* x (+ 1/2 (* -1/8 x))))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))
2
(+ 2 (* 1/2 x))
(+ 2 (* 1/2 x))
(+ 2 (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (* 2 (/ 1 x))))
(* x (+ 1/2 (* 2 (/ 1 x))))
(* x (+ 1/2 (* 2 (/ 1 x))))
(* 1/2 x)
(* x (+ 1/2 (* 2 (/ 1 x))))
(* x (+ 1/2 (* 2 (/ 1 x))))
(* x (+ 1/2 (* 2 (/ 1 x))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))
(/ 16 (pow x 2))
(/ (+ 16 (* 32 (/ 1 x))) (pow x 2))
(/ (- (+ 16 (* 32 (/ 1 x))) (/ 64 (pow x 2))) (pow x 2))
(/ (+ 16 (+ (* -1 (/ (+ 64 (* 896 (/ 1 x))) (pow x 2))) (* 32 (/ 1 x)))) (pow x 2))
(/ 16 (pow x 2))
(/ (+ 16 (* 32 (/ 1 x))) (pow x 2))
(/ (+ 16 (* -1 (/ (- (* 64 (/ 1 x)) 32) x))) (pow x 2))
(/ (+ 16 (* -1 (/ (- (+ (* 64 (/ 1 x)) (/ 896 (pow x 2))) 32) x))) (pow x 2))
2
(+ 2 (* 1/2 x))
(+ 2 (* x (+ 1/2 (* -1/8 x))))
(+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(* 1/16 (pow x 3))
(* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(* (pow x 3) (- (+ 1/16 (+ (/ 1/2 (pow x 2)) (* 2 (/ 1 (pow x 3))))) (* 1/8 (/ 1 x))))
(* 1/16 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8) x)) 1/16)))
-2
(- (* -1/2 x) 2)
(- (* x (- (* 1/8 x) 1/2)) 2)
(- (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2)) 2)
(* -1/16 (pow x 3))
(* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16))
(* (pow x 3) (- (* 1/8 (/ 1 x)) (+ 1/16 (/ 1/2 (pow x 2)))))
(* (pow x 3) (- (+ (* -1 (/ (+ 1/2 (* 2 (/ 1 x))) (pow x 2))) (* 1/8 (/ 1 x))) 1/16))
(* -1/16 (pow x 3))
(* -1 (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 1/16 (* -1 (/ (+ 1/8 (* -1 (/ (+ 1/2 (* 2 (/ 1 x))) x))) x)))))
(/ -2 (pow x 3))
(/ (- (* -1/2 x) 2) (pow x 3))
(/ (- (* x (- (* 1/8 x) 1/2)) 2) (pow x 3))
(/ (- (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2)) 2) (pow x 3))
-1/16
(- (* 1/8 (/ 1 x)) 1/16)
(- (* 1/8 (/ 1 x)) (+ 1/16 (/ 1/2 (pow x 2))))
(- (+ (* -1 (/ (+ 1/2 (* 2 (/ 1 x))) (pow x 2))) (* 1/8 (/ 1 x))) 1/16)
-1/16
(- (* 1/8 (/ 1 x)) 1/16)
(- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)
(- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8) x)) 1/16)
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))
(/ 16 (pow x 2))
(/ (+ 16 (* 32 (/ 1 x))) (pow x 2))
(/ (- (+ 16 (* 32 (/ 1 x))) (/ 64 (pow x 2))) (pow x 2))
(/ (+ 16 (+ (* -1 (/ (+ 64 (* 896 (/ 1 x))) (pow x 2))) (* 32 (/ 1 x)))) (pow x 2))
(/ 16 (pow x 2))
(/ (+ 16 (* 32 (/ 1 x))) (pow x 2))
(/ (+ 16 (* -1 (/ (- (* 64 (/ 1 x)) 32) x))) (pow x 2))
(/ (+ 16 (* -1 (/ (- (+ (* 64 (/ 1 x)) (/ 896 (pow x 2))) 32) x))) (pow x 2))
2
(+ 2 (* 1/2 x))
(+ 2 (* x (+ 1/2 (* -1/8 x))))
(+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(* 1/16 (pow x 3))
(* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))
(* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))
(* (pow x 3) (- (+ 1/16 (+ (/ 1/2 (pow x 2)) (* 2 (/ 1 (pow x 3))))) (* 1/8 (/ 1 x))))
(* 1/16 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8) x)) 1/16)))
(/ -2 x)
(/ (- (* -1/2 x) 2) x)
(/ (- (* x (- (* 1/8 x) 1/2)) 2) x)
(/ (- (* x (- (* x (+ 1/8 (* 3/32 x))) 1/2)) 2) x)
(/ -16 (pow x 3))
(* -1 (/ (+ 16 (* 32 (/ 1 x))) (pow x 3)))
(/ (- (/ 64 (pow x 2)) (+ 16 (* 32 (/ 1 x)))) (pow x 3))
(/ (- (+ (* 384 (/ 1 (pow x 3))) (/ 64 (pow x 2))) (+ 16 (* 32 (/ 1 x)))) (pow x 3))
(/ -16 (pow x 3))
(* -1 (/ (+ 16 (* 32 (/ 1 x))) (pow x 3)))
(* -1 (/ (+ 16 (* -1 (/ (- (* 64 (/ 1 x)) 32) x))) (pow x 3)))
(* -1 (/ (+ 16 (* -1 (/ (- (+ (* 64 (/ 1 x)) (/ 384 (pow x 2))) 32) x))) (pow x 3)))
(* -1/2 x)
(* x (- (* 1/8 x) 1/2))
(* x (- (* x (+ 1/8 (* -1/16 x))) 1/2))
(* x (- (* x (+ 1/8 (* -1/16 x))) 1/2))
(* -1/16 (pow x 3))
(* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16))
(* (pow x 3) (- (* 1/8 (/ 1 x)) (+ 1/16 (/ 1/2 (pow x 2)))))
(* (pow x 3) (- (* 1/8 (/ 1 x)) (+ 1/16 (/ 1/2 (pow x 2)))))
(* -1/16 (pow x 3))
(* -1 (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x)))))
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(* -1/8 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* -1/2 x)
(* x (- (* 1/8 x) 1/2))
(* x (- (* x (+ 1/8 (* -1/16 x))) 1/2))
(* x (- (* x (+ 1/8 (* -1/16 x))) 1/2))
(* -1/16 (pow x 3))
(* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16))
(* (pow x 3) (- (* 1/8 (/ 1 x)) (+ 1/16 (/ 1/2 (pow x 2)))))
(* (pow x 3) (- (* 1/8 (/ 1 x)) (+ 1/16 (/ 1/2 (pow x 2)))))
(* -1/16 (pow x 3))
(* -1 (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x)))))
(/ -2 x)
(/ (- (* -5/2 x) 2) x)
(/ (- (* x (- (* -3/8 x) 5/2)) 2) x)
(/ (- (* x (- (* x (- (* 7/32 x) 3/8)) 5/2)) 2) x)
(* -1/16 (pow x 3))
(* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16))
(* (pow x 3) (- (* 1/8 (/ 1 x)) (+ 1/16 (/ 1/2 (pow x 2)))))
(* (pow x 3) (- (+ (* -1 (/ (+ 1/2 (* 2 (/ 1 x))) (pow x 2))) (* 1/8 (/ 1 x))) 1/16))
(* -1/16 (pow x 3))
(* -1 (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 1/16 (* -1 (/ (+ 1/8 (* -1 (/ (+ 1/2 (* 2 (/ 1 x))) x))) x)))))

Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/8 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 x #s(literal -5/128 binary64))))))))
(sqrt x)
(sqrt.f64 x)
(- (sqrt x) 1)
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
(- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)
(+.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))))
(- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))
(-.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (sqrt x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))
(-.f64 #s(literal -1 binary64) (sqrt.f64 x))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))
(-.f64 (/.f64 (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x)) (sqrt.f64 x))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))
(-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))))) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (.f64 x (*.f64 x x)))))) x) x)))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* 1/2 x)) x)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) x)
(/ (+ 2 (* x (+ 1/2 (* -1/8 x)))) x)
(/.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)) x)
(/ (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) x)
(/.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 2 binary64)) x)
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(+ (sqrt (/ 1 x)) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (- (* 1/2 (sqrt (/ 1 x))) 1) x)))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
(+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x)) 1) x)))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) x))
2
#s(literal 2 binary64)
(+ 2 (* 1/2 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(+ 2 (* x (+ 1/2 (* -1/8 x))))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64))
(+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 2 binary64))
(sqrt x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
(+.f64 (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) #s(literal 1 binary64))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 1 binary64))
(sqrt x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(-.f64 #s(literal 0 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(-.f64 #s(literal 0 binary64) (.f64 x (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(.f64 (+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (/.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/8 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(* x (+ 1/2 (* x (- (* 1/32 x) 1/8))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/32 binary64))))))
(* x (+ 1/2 (* x (- (* x (+ 1/32 (* -1/128 x))) 1/8))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (+.f64 #s(literal 1/32 binary64) (.f64 x #s(literal -1/128 binary64))))))))
2
#s(literal 2 binary64)
(- 2 (* 8 (/ 1 x)))
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) x))
(- (+ 2 (/ 32 (pow x 2))) (* 8 (/ 1 x)))
(+.f64 (/.f64 #s(literal 32 binary64) (*.f64 x x)) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) x)))
(- (+ 2 (/ 32 (pow x 2))) (+ (* 8 (/ 1 x)) (* 128 (/ 1 (pow x 3)))))
(+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 32 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal -8 binary64) x) (/.f64 #s(literal -128 binary64) (.f64 x (*.f64 x x))))))
2
#s(literal 2 binary64)
(- 2 (* 8 (/ 1 x)))
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) x))
(+ 2 (* -1 (/ (- 8 (* 32 (/ 1 x))) x)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -32 binary64) x)) x))
(+ 2 (* -1 (/ (+ 8 (* -1 (/ (- 32 (* 128 (/ 1 x))) x))) x)))
(-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 8 binary64) (/.f64 (+.f64 #s(literal 32 binary64) (/.f64 #s(literal -128 binary64) x)) x)) x))
2
#s(literal 2 binary64)
(+ 2 (* 1/2 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(+ 2 (* 1/2 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(+ 2 (* 1/2 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 2 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* x (+ 1/2 (* 2 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* x (+ 1/2 (* 2 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 2 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* x (+ 1/2 (* 2 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* x (+ 1/2 (* 2 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/8 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -3/128 x))) 1/8))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 x #s(literal -3/128 binary64))))))))
(/ -8 x)
(/.f64 #s(literal -8 binary64) x)
(* -1 (/ (+ 8 (* 32 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -32 binary64) x)) x)
(/ (- (* -1 (/ (+ 32 (* 256 (/ 1 x))) x)) 8) x)
(/.f64 (-.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal 32 binary64) (/.f64 #s(literal 256 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 256 (* 1536 (/ 1 x))) (pow x 2))) (+ 8 (* 32 (/ 1 x)))) x)
(/.f64 (+.f64 (/.f64 (-.f64 #s(literal -32 binary64) (/.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 1536 binary64) x)) x)) x) #s(literal -8 binary64)) x)
(/ -8 x)
(/.f64 #s(literal -8 binary64) x)
(* -1 (/ (+ 8 (* 32 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -32 binary64) x)) x)
(* -1 (/ (+ 8 (+ (* 32 (/ 1 x)) (/ 256 (pow x 2)))) x))
(/.f64 (+.f64 (/.f64 #s(literal 32 binary64) x) (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 256 binary64) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (+ 8 (* -1 (/ (- (* -1 (/ (+ 256 (* 1536 (/ 1 x))) x)) 32) x))) x))
(/.f64 (-.f64 #s(literal 8 binary64) (/.f64 (-.f64 #s(literal -32 binary64) (/.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 1536 binary64) x)) x)) x)) (-.f64 #s(literal 0 binary64) x))
2
#s(literal 2 binary64)
(+ 2 (* 1/2 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(+ 2 (* x (+ 1/2 (* -1/8 x))))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64))
(+ 2 (* x (+ 1/2 (* -1/8 x))))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1/8 binary64))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1/8 binary64))))
(* -1/8 (pow x 2))
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(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* 1/8 x) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x #s(literal 1/8 binary64))))
(* x (- (* x (+ 1/8 (* -1/16 x))) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal -1/16 binary64))))))
(* x (- (* x (+ 1/8 (* -1/16 x))) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal -1/16 binary64))))))
(* -1/16 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/16 binary64)))
(* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16))
(.f64 (.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/16 binary64)))
(* (pow x 3) (- (* 1/8 (/ 1 x)) (+ 1/16 (/ 1/2 (pow x 2)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 3) (- (* 1/8 (/ 1 x)) (+ 1/16 (/ 1/2 (pow x 2)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* -1/16 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/16 binary64)))
(* -1 (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x)))))
(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))))
(* -1 (* (pow x 3) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* -1 (* (pow x 3) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -5/2 x) 2) x)
(+.f64 #s(literal -5/2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* x (- (* -3/8 x) 5/2)) 2) x)
(+.f64 (.f64 (+.f64 #s(literal -5/2 binary64) (.f64 x #s(literal -3/8 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x))
(/ (- (* x (- (* x (- (* 7/32 x) 3/8)) 5/2)) 2) x)
(+.f64 (.f64 (+.f64 #s(literal -5/2 binary64) (.f64 x (+.f64 #s(literal -3/8 binary64) (*.f64 x #s(literal 7/32 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x))
(* -1/16 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/16 binary64)))
(* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16))
(.f64 (.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/16 binary64)))
(* (pow x 3) (- (* 1/8 (/ 1 x)) (+ 1/16 (/ 1/2 (pow x 2)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 3) (- (+ (* -1 (/ (+ 1/2 (* 2 (/ 1 x))) (pow x 2))) (* 1/8 (/ 1 x))) 1/16))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) x)))
(* -1/16 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/16 binary64)))
(* -1 (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x)))))
(.f64 (.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x))))
(* -1 (* (pow x 3) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* -1 (* (pow x 3) (+ 1/16 (* -1 (/ (+ 1/8 (* -1 (/ (+ 1/2 (* 2 (/ 1 x))) x))) x)))))
(.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) x)))

eval134.0ms (1.6%)

Compiler: Compiled 35068 to 2458 computations (93% saved)

prune172.0ms (2%)

Pruning

39 alts after pruning (28 fresh and 11 done)

	Pruned	Kept	Total
New	853	15	868
Fresh	4	13	17
Picked	2	3	5
Done	0	8	8
Total	859	39	898

Accuracy

100.0%

Counts

898 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.4%	(/.f64 x (/.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))))) (.f64 x (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))))
	4.3%	(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))) (.f64 x (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))))
	4.0%	(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal -1/4096 binary64) (.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)))))) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/256 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) #s(literal -1/16 binary64))))))))
	4.8%	(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (+.f64 (/.f64 (.f64 x (.f64 x x)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)))) (.f64 x (.f64 (*.f64 x x) #s(literal -1/16 binary64)))))))
	4.6%	(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) x) (*.f64 x x)))))
	4.8%	(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))))))))
	6.4%	(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (+.f64 (.f64 (+.f64 #s(literal -5/2 binary64) (*.f64 x #s(literal -3/8 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x))))
	6.0%	(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))))) (+.f64 #s(literal -5/2 binary64) (/.f64 #s(literal -2 binary64) x))))
	4.3%	(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 x (*.f64 x x))) (-.f64 #s(literal 1/256 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)))))) (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))))
	4.8%	(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal -1/16 binary64))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))))))
	5.0%	(/.f64 x (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))))))
	67.7%	(/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
✓	66.6%	(/.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
	67.4%	(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 2 binary64)))
✓	66.6%	(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
✓	67.7%	(/.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
✓	67.4%	(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 1 binary64))))
	66.6%	(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 1 binary64))))
	67.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	38.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
	21.4%	(/.f64 x (.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) x)) x) x) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))))
	67.1%	(/.f64 x (.f64 (-.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))))
	22.4%	(/.f64 x (.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) x)) (.f64 x (.f64 x x))))
	22.9%	(/.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))))))
	21.5%	(/.f64 x (neg.f64 (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) x)) (.f64 x x)) (.f64 x (.f64 x x)))))
	22.4%	(/.f64 x (neg.f64 (.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) x)) (.f64 x (*.f64 x x)))))
✓	66.8%	(/.f64 x #s(literal 2 binary64))
	4.3%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))) (.f64 x (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) x))
✓	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x))
✓	66.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))) x))
✓	66.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
	33.5%	(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
	67.1%	(.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64)))) (-.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))
	66.6%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))))) x)
	34.8%	(sqrt.f64 x)
	39.8%	(neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))))
	4.8%	#s(literal 2 binary64)

Compiler

Compiled 2753 to 819 computations (70.3% saved)

regimes44.0ms (0.5%)

Counts

55 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)
(/.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(/.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) x))
(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))) x))
(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 1 binary64))))
(/.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64)))) (-.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))
(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 2 binary64)))
(/.f64 x (.f64 (-.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))))
(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 1 binary64))))
(/.f64 x (neg.f64 (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) x)) (.f64 x x)) (.f64 x (.f64 x x)))))
(/.f64 x (.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) x)) x) x) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))))
(/.f64 x (neg.f64 (.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) x)) (.f64 x (*.f64 x x)))))
(/.f64 x (.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))))
(/.f64 x (.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) x)) (.f64 x (.f64 x x))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))))) (+.f64 #s(literal -5/2 binary64) (/.f64 #s(literal -2 binary64) x))))
(/.f64 x (neg.f64 (.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) x)) (.f64 x (.f64 x x)))))
(/.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))))))
(/.f64 x (.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1/8 binary64))) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/8 binary64))) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (+.f64 (.f64 (+.f64 #s(literal -5/2 binary64) (*.f64 x #s(literal -3/8 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x))))
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))) (.f64 x (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))))
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))) (.f64 x (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) x))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))))))
(/.f64 x (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal -1/16 binary64))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) x) (*.f64 x x)))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))))))))
(/.f64 x (-.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))) #s(literal 1 binary64)))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (+.f64 (/.f64 (.f64 x (.f64 x x)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)))) (.f64 x (.f64 (*.f64 x x) #s(literal -1/16 binary64)))))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))) (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (-.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 x (*.f64 x x))) (-.f64 #s(literal 1/256 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)))))) (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))))))
(/.f64 x (/.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))))) (.f64 x (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))))
(/.f64 x (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal -1/4096 binary64) (.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)))))) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/256 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) #s(literal -1/16 binary64))))))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) x))
(/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))))

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

Calls

2 calls:

17.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
16.0ms	x

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes29.0ms (0.3%)

Counts

50 → 2

Calls

Call 1

Inputs
#s(literal 2 binary64)
(/.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(/.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) x))
(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))) x))
(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 1 binary64))))
(/.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64)))) (-.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))
(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 2 binary64)))
(/.f64 x (.f64 (-.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))))
(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 1 binary64))))
(/.f64 x (neg.f64 (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) x)) (.f64 x x)) (.f64 x (.f64 x x)))))
(/.f64 x (.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) x)) x) x) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))))
(/.f64 x (neg.f64 (.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) x)) (.f64 x (*.f64 x x)))))
(/.f64 x (.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))))
(/.f64 x (.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) x)) (.f64 x (.f64 x x))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))))) (+.f64 #s(literal -5/2 binary64) (/.f64 #s(literal -2 binary64) x))))
(/.f64 x (neg.f64 (.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) x)) (.f64 x (.f64 x x)))))
(/.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))))))
(/.f64 x (.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1/8 binary64))) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/8 binary64))) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (+.f64 (.f64 (+.f64 #s(literal -5/2 binary64) (*.f64 x #s(literal -3/8 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x))))
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))) (.f64 x (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))))
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))) (.f64 x (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) x))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))))))
(/.f64 x (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal -1/16 binary64))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) x) (*.f64 x x)))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))))))))
(/.f64 x (-.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))) #s(literal 1 binary64)))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (+.f64 (/.f64 (.f64 x (.f64 x x)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)))) (.f64 x (.f64 (*.f64 x x) #s(literal -1/16 binary64)))))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))) (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (-.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 x (*.f64 x x))) (-.f64 #s(literal 1/256 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)))))) (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))))))
(/.f64 x (/.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))))) (.f64 x (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))))
(/.f64 x (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal -1/4096 binary64) (.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)))))) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/256 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) #s(literal -1/16 binary64))))))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))))

Outputs

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes25.0ms (0.3%)

Counts

49 → 2

Calls

Call 1

Inputs
#s(literal 2 binary64)
(/.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(/.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) x))
(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))) x))
(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 1 binary64))))
(/.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64)))) (-.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))
(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 2 binary64)))
(/.f64 x (.f64 (-.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))))
(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 1 binary64))))
(/.f64 x (neg.f64 (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) x)) (.f64 x x)) (.f64 x (.f64 x x)))))
(/.f64 x (.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) x)) x) x) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))))
(/.f64 x (neg.f64 (.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) x)) (.f64 x (*.f64 x x)))))
(/.f64 x (.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))))
(/.f64 x (.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) x)) (.f64 x (.f64 x x))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))))) (+.f64 #s(literal -5/2 binary64) (/.f64 #s(literal -2 binary64) x))))
(/.f64 x (neg.f64 (.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) x)) (.f64 x (.f64 x x)))))
(/.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))))))
(/.f64 x (.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1/8 binary64))) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/8 binary64))) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (+.f64 (.f64 (+.f64 #s(literal -5/2 binary64) (*.f64 x #s(literal -3/8 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x))))
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))) (.f64 x (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))))
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))) (.f64 x (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) x))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))))))
(/.f64 x (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal -1/16 binary64))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) x) (*.f64 x x)))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))))))))
(/.f64 x (-.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))) #s(literal 1 binary64)))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (+.f64 (/.f64 (.f64 x (.f64 x x)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)))) (.f64 x (.f64 (*.f64 x x) #s(literal -1/16 binary64)))))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))) (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (-.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 x (*.f64 x x))) (-.f64 #s(literal 1/256 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)))))) (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))))))
(/.f64 x (/.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))))) (.f64 x (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))))
(/.f64 x (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal -1/4096 binary64) (.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)))))) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/256 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) #s(literal -1/16 binary64))))))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))

Outputs

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
99.2%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes85.0ms (1%)

Counts

47 → 2

Calls

Call 1

Inputs
#s(literal 2 binary64)
(/.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(/.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) x))
(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))) x))
(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 1 binary64))))
(/.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64)))) (-.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))
(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 2 binary64)))
(/.f64 x (.f64 (-.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))))
(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 1 binary64))))
(/.f64 x (neg.f64 (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) x)) (.f64 x x)) (.f64 x (.f64 x x)))))
(/.f64 x (.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) x)) x) x) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))))
(/.f64 x (neg.f64 (.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) x)) (.f64 x (*.f64 x x)))))
(/.f64 x (.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))))
(/.f64 x (.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) x)) (.f64 x (.f64 x x))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))))) (+.f64 #s(literal -5/2 binary64) (/.f64 #s(literal -2 binary64) x))))
(/.f64 x (neg.f64 (.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) x)) (.f64 x (.f64 x x)))))
(/.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))))))
(/.f64 x (.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1/8 binary64))) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/8 binary64))) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (+.f64 (.f64 (+.f64 #s(literal -5/2 binary64) (*.f64 x #s(literal -3/8 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x))))
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))) (.f64 x (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))))
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))) (.f64 x (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) x))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))))))
(/.f64 x (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal -1/16 binary64))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) x) (*.f64 x x)))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))))))))
(/.f64 x (-.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))) #s(literal 1 binary64)))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (+.f64 (/.f64 (.f64 x (.f64 x x)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)))) (.f64 x (.f64 (*.f64 x x) #s(literal -1/16 binary64)))))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))) (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (-.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 x (*.f64 x x))) (-.f64 #s(literal 1/256 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)))))) (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))))))
(/.f64 x (/.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))))) (.f64 x (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))))
(/.f64 x (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal -1/4096 binary64) (.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)))))) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/256 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) #s(literal -1/16 binary64))))))))
(sqrt.f64 x)

Outputs

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

(sqrt.f64 x)

Calls

1 calls:

74.0ms

Results

Accuracy	Segments	Branch
98.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes56.0ms (0.7%)

Counts

46 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)
(/.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(/.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) x))
(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))) x))
(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 1 binary64))))
(/.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64)))) (-.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))
(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 2 binary64)))
(/.f64 x (.f64 (-.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))))
(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 1 binary64))))
(/.f64 x (neg.f64 (.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) x)) (.f64 x x)) (.f64 x (.f64 x x)))))
(/.f64 x (.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) x)) x) x) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))))
(/.f64 x (neg.f64 (.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) x)) (.f64 x (*.f64 x x)))))
(/.f64 x (.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))))
(/.f64 x (.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) x)) (.f64 x (.f64 x x))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))))) (+.f64 #s(literal -5/2 binary64) (/.f64 #s(literal -2 binary64) x))))
(/.f64 x (neg.f64 (.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x)))) x)) (.f64 x (.f64 x x)))))
(/.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))))))
(/.f64 x (.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1/8 binary64))) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/8 binary64))) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (+.f64 (.f64 (+.f64 #s(literal -5/2 binary64) (*.f64 x #s(literal -3/8 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x))))
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))) (.f64 x (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))))
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))) (.f64 x (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) x))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))))))
(/.f64 x (+.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal -1/16 binary64))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) x) (*.f64 x x)))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))))))))
(/.f64 x (-.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))) #s(literal 1 binary64)))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (+.f64 (/.f64 (.f64 x (.f64 x x)) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)))) (.f64 x (.f64 (*.f64 x x) #s(literal -1/16 binary64)))))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))) (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (-.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (/.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 x (*.f64 x x))) (-.f64 #s(literal 1/256 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)))))) (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))))))
(/.f64 x (/.f64 (/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))) (.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))))) (.f64 x (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))))
(/.f64 x (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))))))
(/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal -1/4096 binary64) (.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)))))) (.f64 x (.f64 x x))) (+.f64 #s(literal 1/256 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) #s(literal -1/16 binary64))))))))

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

Calls

1 calls:

53.0ms

Results

Accuracy	Segments	Branch
67.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
67.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)
(/.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
66.8%	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 2 binary64)

Outputs
#s(literal 2 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
4.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch46.0ms (0.6%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
45.0ms	0.0003440141465870745	0.0027929288607793533

Results

42.0ms

96×

valid

Compiler

Compiled 175 to 135 computations (22.9% saved)

Precisions

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

ival-div: 1.0ms (39% of total)

ival-add: 1.0ms (39% of total)

ival-sqrt: 1.0ms (39% of total)

const: 0.0ms (0% of total)

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

bsearch13.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.019585056554983014	118.66005651337666

Results

7.0ms

128×

valid

Compiler

Compiled 213 to 161 computations (24.4% saved)

Precisions

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

ival-div: 1.0ms (28.2% of total)

ival-add: 1.0ms (28.2% of total)

ival-sqrt: 1.0ms (28.2% of total)

const: 0.0ms (0% of total)

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

bsearch49.0ms (0.6%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
48.0ms	0.019585056554983014	118.66005651337666

Results

43.0ms

128×

valid

Compiler

Compiled 197 to 145 computations (26.4% saved)

Precisions

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

ival-add: 38.0ms (94.2% of total)

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

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

const: 0.0ms (0% of total)

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

simplify49.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

34×	`+-commutative_binary64`
28×	`unsub-neg_binary64`
22×	`neg-mul-1_binary64`
16×	`*-commutative_binary64`
16×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	103
1	64	103
2	72	103
3	84	102
4	108	102
5	123	102
6	133	102
7	143	102
8	151	102

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 662929865148937/576460752303423488 binary64)) (/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal 3 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(if (<=.f64 x #s(literal 8106479329266893/2251799813685248 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 1 binary64)))) (sqrt.f64 x))
(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 662929865148937/576460752303423488 binary64)) (/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal 662929865148937/576460752303423488 binary64)) (/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(if (<=.f64 x #s(literal 3 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(if (<=.f64 x #s(literal 3 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))))) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(if (<=.f64 x #s(literal 8106479329266893/2251799813685248 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 1 binary64)))) (sqrt.f64 x))
(if (<=.f64 x #s(literal 8106479329266893/2251799813685248 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))))) (sqrt.f64 x))
(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

soundness1.6s (19.6%)

Rules

3648×	`-lowering-.f32`
3648×	`-lowering-.f64`
3228×	`-lowering-.f32`
3228×	`-lowering-.f64`
3170×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	21
1	42	21
2	326	20
3	3660	20
0	8007	20
0	360	2019
1	1105	1791
2	4275	1756
0	8425	1756
0	161	538
1	520	435
2	1991	413
3	7753	413
0	8430	413
0	413	2584
1	1298	2315
2	4365	2287
0	8368	2287

Stop Event

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

Compiler

Compiled 216 to 125 computations (42.1% saved)

preprocess55.0ms (0.7%)

Compiler: Compiled 224 to 94 computations (58% saved)

analyze2.0ms (0%)

sample700.0ms (8.3%)

preprocess45.0ms (0.5%)

explain91.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize45.0ms (0.5%)

series5.0ms (0.1%)

rewrite316.0ms (3.8%)

simplify239.0ms (2.8%)

eval61.0ms (0.7%)

prune95.0ms (1.1%)

simplify34.0ms (0.4%)

localize153.0ms (1.8%)

series14.0ms (0.2%)

rewrite372.0ms (4.4%)

simplify284.0ms (3.4%)

eval91.0ms (1.1%)

prune97.0ms (1.2%)

simplify277.0ms (3.3%)

localize496.0ms (5.9%)

series13.0ms (0.2%)

rewrite420.0ms (5%)

simplify291.0ms (3.5%)

eval115.0ms (1.4%)

prune141.0ms (1.7%)

simplify510.0ms (6.1%)

localize446.0ms (5.3%)

series9.0ms (0.1%)

rewrite349.0ms (4.2%)

simplify268.0ms (3.2%)

eval134.0ms (1.6%)

prune172.0ms (2%)

regimes44.0ms (0.5%)

regimes29.0ms (0.3%)

regimes25.0ms (0.3%)

regimes85.0ms (1%)

regimes56.0ms (0.7%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

bsearch46.0ms (0.6%)

bsearch13.0ms (0.2%)

bsearch49.0ms (0.6%)

simplify49.0ms (0.6%)

soundness1.6s (19.6%)

preprocess55.0ms (0.7%)

end0.0ms (0%)

Profiling