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)

sample766.0ms (6.5%)

Results

583.0ms	8254×	0	valid
0.0ms	2×	2	valid
0.0ms	4×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 324.0ms

ival-add: 138.0ms (42.6% of total)

ival-div: 95.0ms (29.3% of total)

ival-sqrt: 76.0ms (23.5% of total)

const: 12.0ms (3.7% of total)

backward-pass: 3.0ms (0.9% of total)

Bogosity

preprocess40.0ms (0.3%)

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))))

explain107.0ms (0.9%)

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

74.0ms

512×

valid

Compiler

Compiled 59 to 20 computations (66.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-sqrt: 25.0ms (69.2% of total)

ival-add: 6.0ms (16.6% of total)

ival-div: 4.0ms (11.1% of total)

const: 1.0ms (2.8% 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)

simplify5.0ms (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))

localize80.0ms (0.7%)

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

72.0ms

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 (37.6% of total)

ival-div: 2.0ms (25.1% of total)

ival-sqrt: 2.0ms (25.1% of total)

const: 0.0ms (0% of total)

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

series5.0ms (0%)

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	@	inf	(sqrt (+ x 1))

rewrite298.0ms (2.5%)

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	328	20
3	3669	20
0	8086	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 #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 #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 (/.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) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (/.f64 x (-.f64 #s(literal 0 binary64) x)))
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(/.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 (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 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 #s(literal 1 binary64) x))) (+.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 #s(literal 1 binary64) x))) (+.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 #s(literal 1 binary64) x))))
(*.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 #s(literal 1 binary64) x)))
(.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 #s(literal 1 binary64) x)) (+.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 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 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 #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)))

simplify259.0ms (2.2%)

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	434
2	1993	412
3	7762	412
0	8435	412

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 #s(literal 1/2 binary64) x)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #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 #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 (/.f64 (/.f64 #s(literal 1 binary64) x) 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 (/.f64 (/.f64 #s(literal 1 binary64) x) 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 (/.f64 (/.f64 #s(literal 1 binary64) x) 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 (/.f64 (/.f64 #s(literal 1 binary64) x) 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 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x))) (+.f64 (.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 (/.f64 (/.f64 #s(literal 1 binary64) x) 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 (/.f64 (/.f64 #s(literal 1 binary64) x) 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 (/.f64 (/.f64 #s(literal 1 binary64) x) 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 #s(literal 1/16 binary64) (/.f64 (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))))) (-.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))

eval38.0ms (0.3%)

Compiler: Compiled 5835 to 1090 computations (81.3% saved)

prune78.0ms (0.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	287	11	298
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	287	12	299

Accuracy

100.0%

Counts

299 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.0%	(/.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)))
▶	68.4%	(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
▶	69.6%	(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	68.7%	(/.f64 x #s(literal 2 binary64))
	32.5%	(+.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)
	68.0%	(.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))))))))
	69.2%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))
	67.6%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
	33.6%	(sqrt.f64 x)
	37.7%	(neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))))

Compiler

Compiled 219 to 162 computations (26% saved)

simplify30.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

552×	`fma-define`
432×	`fma-lowering-fma.f32`
432×	`fma-lowering-fma.f64`
194×	`-lowering-.f32`
194×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	156
1	66	141
2	138	141
3	300	141
4	512	141
5	647	141
6	672	141
0	672	141

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize204.0ms (1.7%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal 1/16 binary64))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))
✓	accuracy	95.2%	(/.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)))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))
✓	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	85.8%	(/.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 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
✓	accuracy	100.0%	(/.f64 x #s(literal 2 binary64))
✓	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) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))) x)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))))

Results

161.0ms

256×

valid

Compiler

Compiled 170 to 28 computations (83.5% saved)

Precisions

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

ival-add: 11.0ms (27.2% of total)

ival-mult: 11.0ms (27.2% of total)

ival-div: 10.0ms (24.7% of total)

ival-pow: 7.0ms (17.3% of total)

const: 1.0ms (2.5% of total)

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

series13.0ms (0.1%)

Counts

19 → 228

Calls

Call 1

Inputs
#<alt (* (/ 1 (+ 1 (pow (+ x 1) 1/2))) x)>
#<alt (/ 1 (+ 1 (pow (+ x 1) 1/2)))>
#<alt (+ 1 (pow (+ x 1) 1/2))>
#<alt (pow (+ x 1) 1/2)>
#<alt (/ x 2)>
#<alt (/ x (+ (* 1/2 x) 2))>
#<alt (+ (* 1/2 x) 2)>
#<alt (* 1/2 x)>
#<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 (+ (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))) 2))>
#<alt (+ (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))) 2)>
#<alt (* x (+ 1/2 (* x (+ -1/8 (* x 1/16)))))>
#<alt (+ 1/2 (* x (+ -1/8 (* x 1/16))))>
#<alt (* x -1/8)>
#<alt (* x (+ -1/8 (* x 1/16)))>
#<alt (* 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 1/2>
#<alt (+ 1/2 (* -1/8 x))>
#<alt (+ 1/2 (* x (- (* 1/16 x) 1/8)))>
#<alt (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))>
#<alt (sqrt (/ 1 x))>
#<alt (/ (- (sqrt x) 1) x)>
#<alt (/ (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1) x)>
#<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))))))) x)>
#<alt (* -1 (sqrt (/ 1 x)))>
#<alt (* -1 (/ (- (sqrt x) (/ 1 (pow (sqrt -1) 2))) x))>
#<alt (* -1 (/ (+ (sqrt x) (* -1 (/ (- (+ (* -1 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) (* -1 (/ x (pow (sqrt -1) 2)))) x))) x))>
#<alt (* -1 (/ (+ (sqrt x) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow x 2) (pow (sqrt -1) 4))) (* -1 (* (sqrt x) (+ (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))))) x)) (+ (* -1 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1 (/ x (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 (* 1/2 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 (- (* 1/32 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 (* 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 (* 1/2 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 1/2>
#<alt (+ 1/2 (* -1/8 x))>
#<alt (+ 1/2 (* x (- (* 1/16 x) 1/8)))>
#<alt (+ 1/2 (* 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 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 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 (/ (- 1/8 (* 1/2 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 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 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))))>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>

Calls

57 calls:

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

rewrite386.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3352×	`/-lowering-/.f32`
3352×	`/-lowering-/.f64`
3322×	`-lowering-.f32`
3322×	`-lowering-.f64`
2266×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	131
1	200	117
2	1654	117
0	8656	117

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 502

Calls

Call 1

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

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

simplify401.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

2936×	`-lowering-.f32`
2936×	`-lowering-.f64`
2652×	`+-lowering-+.f64`
2652×	`+-lowering-+.f32`
1302×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	346	1948
1	1145	1660
2	4107	1636
0	9042	1636

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

eval99.0ms (0.8%)

Compiler: Compiled 16001 to 2181 computations (86.4% saved)

prune128.0ms (1.1%)

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	715	15	730
Fresh	3	3	6
Picked	1	4	5
Done	0	1	1
Total	719	23	742

Accuracy

100.0%

Counts

742 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.2%	(/.f64 x (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))
	68.6%	(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x))))
	69.6%	(/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
✓	69.0%	(/.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)))
✓	68.4%	(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
✓	69.6%	(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	69.2%	(/.f64 x (.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))))
▶	68.6%	(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)))))
✓	68.7%	(/.f64 x #s(literal 2 binary64))
▶	69.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) x))
▶	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) x))
	68.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
	32.5%	(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
	68.2%	(.f64 (/.f64 x (+.f64 #s(literal 8 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)))))) (.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 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 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 4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (*.f64 x #s(literal 2 binary64))))))))
	69.6%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) x)
▶	68.0%	(.f64 (+.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))))))) x)
	69.2%	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))) x)
	67.6%	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))) x)
	68.0%	(.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))))))))
	33.6%	(sqrt.f64 x)
	37.7%	(neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))))
▶	5.0%	#s(literal 2 binary64)

Compiler

Compiled 613 to 360 computations (41.3% saved)

simplify225.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))
✓	cost-diff	0	(+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))
✓	cost-diff	0	(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)))))
✓	cost-diff	128	(.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x))))
✓	cost-diff	0	(+.f64 #s(literal -1/8 binary64) (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 x #s(literal -5/128 binary64)))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (+.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal -5/128 binary64))))))
✓	cost-diff	0	(+.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)))))))
✓	cost-diff	0	(.f64 (+.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))))))) 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	0	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) x)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) x))
✓	cost-diff	0	(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) x)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) x))

Rules

2172×	`-lowering-.f32`
2172×	`-lowering-.f64`
1558×	`fma-lowering-fma.f32`
1558×	`fma-lowering-fma.f64`
1302×	`sum3-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	35	208
1	85	194
2	199	192
3	426	192
4	1107	185
5	2763	185
6	4721	185
0	8278	185

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize423.0ms (3.6%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	80.9%	(.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x))))
✓	accuracy	100.0%	(.f64 (+.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))))))) x)
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (+.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal -5/128 binary64))))))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 x #s(literal -5/128 binary64))))
✓	accuracy	99.9%	(+.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal -5/128 binary64)))
✓	accuracy	100.0%	(/.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) x)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) x))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) x)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) x))

Results

164.0ms	242×	0	valid
11.0ms	9×	2	valid
4.0ms	5×	1	valid

Compiler

Compiled 231 to 36 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-div: 24.0ms (43.6% of total)

ival-mult: 12.0ms (21.8% of total)

ival-add: 12.0ms (21.8% of total)

ival-sqrt: 2.0ms (3.6% of total)

backward-pass: 2.0ms (3.6% of total)

const: 1.0ms (1.8% of total)

ival-sub: 1.0ms (1.8% of total)

series13.0ms (0.1%)

Counts

21 → 252

Calls

Call 1

Inputs
#<alt (/ 1 (/ (+ 1 (sqrt (+ 1 x))) x))>
#<alt (/ (+ 1 (sqrt (+ 1 x))) x)>
#<alt (+ 1 (sqrt (+ 1 x)))>
#<alt (sqrt (+ 1 x))>
#<alt (/ 1 (/ (+ 2 (/ x 2)) x))>
#<alt (/ (+ 2 (/ x 2)) x)>
#<alt (+ 2 (/ x 2))>
#<alt (/ x 2)>
#<alt (* (+ 1/2 (* x (+ -1/8 (* x (+ 1/16 (* x -5/128)))))) x)>
#<alt (+ 1/2 (* x (+ -1/8 (* x (+ 1/16 (* x -5/128))))))>
#<alt (* x (+ -1/8 (* x (+ 1/16 (* x -5/128)))))>
#<alt (+ -1/8 (* x (+ 1/16 (* x -5/128))))>
#<alt (* (+ 8 (/ (* x (* x x)) 8)) (/ 1 (+ (/ (* x x) 4) (- 4 x))))>
#<alt (/ x (* (+ 8 (/ (* x (* x x)) 8)) (/ 1 (+ (/ (* x x) 4) (- 4 x)))))>
#<alt (+ 8 (/ (* x (* x x)) 8))>
#<alt (/ (* x (* x x)) 8)>
#<alt (+ 1/16 (* x -5/128))>
#<alt (* x (+ 1/16 (* x -5/128)))>
#<alt (* x (* x x))>
#<alt (/ 1 (+ (/ (* x x) 4) (- 4 x)))>
#<alt (+ (/ (* x x) 4) (- 4 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 x)>
#<alt (/ (+ 2 (* 1/2 x)) x)>
#<alt (/ (+ 2 (* 1/2 x)) x)>
#<alt (/ (+ 2 (* 1/2 x)) x)>
#<alt 1/2>
#<alt (+ 1/2 (* 2 (/ 1 x)))>
#<alt (+ 1/2 (* 2 (/ 1 x)))>
#<alt (+ 1/2 (* 2 (/ 1 x)))>
#<alt 1/2>
#<alt (+ 1/2 (* 2 (/ 1 x)))>
#<alt (+ 1/2 (* 2 (/ 1 x)))>
#<alt (+ 1/2 (* 2 (/ 1 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 (* -5/128 x))) 1/8))))>
#<alt (* -5/128 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/16 (/ 1 x)) 5/128))>
#<alt (* (pow x 4) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ (* 1/16 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))) (+ 5/128 (/ 1/8 (pow x 2)))))>
#<alt (* -5/128 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/16 (/ 1 x)) 5/128))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16) x)) 5/128))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/8 x))>
#<alt (+ 1/2 (* x (- (* 1/16 x) 1/8)))>
#<alt (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))>
#<alt (* -5/128 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/16 (/ 1 x)) 5/128))>
#<alt (* (pow x 3) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* 1/16 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))) (+ 5/128 (/ 1/8 (pow x 2)))))>
#<alt (* -5/128 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 5/128 (* 1/16 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 5/128 (* -1 (/ (- 1/16 (* 1/8 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 5/128 (* -1 (/ (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))) x)))))>
#<alt (* -1/8 x)>
#<alt (* x (- (* 1/16 x) 1/8))>
#<alt (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))>
#<alt (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))>
#<alt (* -5/128 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/16 (/ 1 x)) 5/128))>
#<alt (* (pow x 3) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))>
#<alt (* (pow x 3) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))>
#<alt (* -5/128 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 5/128 (* 1/16 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 5/128 (* -1 (/ (- 1/16 (* 1/8 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 5/128 (* -1 (/ (- 1/16 (* 1/8 (/ 1 x))) x)))))>
#<alt -1/8>
#<alt (- (* 1/16 x) 1/8)>
#<alt (- (* x (+ 1/16 (* -5/128 x))) 1/8)>
#<alt (- (* x (+ 1/16 (* -5/128 x))) 1/8)>
#<alt (* -5/128 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))>
#<alt (* (pow x 2) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))>
#<alt (* (pow x 2) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))>
#<alt (* -5/128 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))>
#<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 (* 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 8>
#<alt (+ 8 (* 1/8 (pow x 3)))>
#<alt (+ 8 (* 1/8 (pow x 3)))>
#<alt (+ 8 (* 1/8 (pow x 3)))>
#<alt (* 1/8 (pow x 3))>
#<alt (* (pow x 3) (+ 1/8 (* 8 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 1/8 (* 8 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 1/8 (* 8 (/ 1 (pow x 3)))))>
#<alt (* 1/8 (pow x 3))>
#<alt (* (pow x 3) (+ 1/8 (* 8 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 1/8 (* 8 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 1/8 (* 8 (/ 1 (pow x 3)))))>
#<alt (* 1/8 (pow x 3))>
#<alt (* 1/8 (pow x 3))>
#<alt (* 1/8 (pow x 3))>
#<alt (* 1/8 (pow x 3))>
#<alt (* 1/8 (pow x 3))>
#<alt (* 1/8 (pow x 3))>
#<alt (* 1/8 (pow x 3))>
#<alt (* 1/8 (pow x 3))>
#<alt (* 1/8 (pow x 3))>
#<alt (* 1/8 (pow x 3))>
#<alt (* 1/8 (pow x 3))>
#<alt (* 1/8 (pow x 3))>
#<alt 1/16>
#<alt (+ 1/16 (* -5/128 x))>
#<alt (+ 1/16 (* -5/128 x))>
#<alt (+ 1/16 (* -5/128 x))>
#<alt (* -5/128 x)>
#<alt (* x (- (* 1/16 (/ 1 x)) 5/128))>
#<alt (* x (- (* 1/16 (/ 1 x)) 5/128))>
#<alt (* x (- (* 1/16 (/ 1 x)) 5/128))>
#<alt (* -5/128 x)>
#<alt (* -1 (* x (- 5/128 (* 1/16 (/ 1 x)))))>
#<alt (* -1 (* x (- 5/128 (* 1/16 (/ 1 x)))))>
#<alt (* -1 (* x (- 5/128 (* 1/16 (/ 1 x)))))>
#<alt (* 1/16 x)>
#<alt (* x (+ 1/16 (* -5/128 x)))>
#<alt (* x (+ 1/16 (* -5/128 x)))>
#<alt (* x (+ 1/16 (* -5/128 x)))>
#<alt (* -5/128 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))>
#<alt (* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))>
#<alt (* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))>
#<alt (* -5/128 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))>
#<alt (* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))>
#<alt (* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))>
#<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 1/4>
#<alt (+ 1/4 (* 1/16 x))>
#<alt (+ 1/4 (* x (+ 1/16 (* -1/256 (pow x 2)))))>
#<alt (+ 1/4 (* x (+ 1/16 (* (pow x 2) (- (* -1/1024 x) 1/256)))))>
#<alt (/ 4 (pow x 2))>
#<alt (/ (+ 4 (* 16 (/ 1 x))) (pow x 2))>
#<alt (/ (- (+ 4 (* 16 (/ 1 x))) (/ 256 (pow x 3))) (pow x 2))>
#<alt (/ (+ 4 (+ (* -1 (/ (+ 256 (* 1024 (/ 1 x))) (pow x 3))) (* 16 (/ 1 x)))) (pow x 2))>
#<alt (/ 4 (pow x 2))>
#<alt (/ (+ 4 (* 16 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 4 (* -1 (/ (- (* 256 (/ 1 (pow x 2))) 16) x))) (pow x 2))>
#<alt (/ (+ 4 (* -1 (/ (- (+ (* 256 (/ 1 (pow x 2))) (/ 1024 (pow x 3))) 16) x))) (pow x 2))>
#<alt 4>
#<alt (+ 4 (* -1 x))>
#<alt (+ 4 (* x (- (* 1/4 x) 1)))>
#<alt (+ 4 (* x (- (* 1/4 x) 1)))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (- 1/4 (/ 1 x)))>
#<alt (* (pow x 2) (- (+ 1/4 (/ 4 (pow x 2))) (/ 1 x)))>
#<alt (* (pow x 2) (- (+ 1/4 (/ 4 (pow x 2))) (/ 1 x)))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (- 1/4 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ (- 1 (* 4 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ (- 1 (* 4 (/ 1 x))) x))))>

Calls

63 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(* x (+ -1/8 (* x (+ 1/16 (* x -5/128)))))
1.0ms	x	@	inf	(* (+ 8 (/ (* x (* x x)) 8)) (/ 1 (+ (/ (* x x) 4) (- 4 x))))
0.0ms	x	@	0	(* (+ 8 (/ (* x (* x x)) 8)) (/ 1 (+ (/ (* x x) 4) (- 4 x))))
0.0ms	x	@	-inf	(/ (+ 1 (sqrt (+ 1 x))) x)
0.0ms	x	@	-inf	(* x (* x x))

rewrite389.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4844×	`-lowering-.f32`
4844×	`-lowering-.f64`
2776×	`/-lowering-/.f32`
2776×	`/-lowering-/.f64`
2438×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	176
1	259	152
2	2333	152
0	9142	152

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 779

Calls

Call 1

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

simplify289.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

3398×	`+-lowering-+.f64`
3398×	`+-lowering-+.f32`
3376×	`-lowering-.f32`
3376×	`-lowering-.f64`
1030×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	344	2085
1	1101	1798
2	3794	1778
0	8328	1778

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

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 x)
(/ (+ 2 (* 1/2 x)) x)
(/ (+ 2 (* 1/2 x)) x)
(/ (+ 2 (* 1/2 x)) x)
1/2
(+ 1/2 (* 2 (/ 1 x)))
(+ 1/2 (* 2 (/ 1 x)))
(+ 1/2 (* 2 (/ 1 x)))
1/2
(+ 1/2 (* 2 (/ 1 x)))
(+ 1/2 (* 2 (/ 1 x)))
(+ 1/2 (* 2 (/ 1 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 (* -5/128 x))) 1/8))))
(* -5/128 (pow x 4))
(* (pow x 4) (- (* 1/16 (/ 1 x)) 5/128))
(* (pow x 4) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))
(* (pow x 4) (- (+ (* 1/16 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))) (+ 5/128 (/ 1/8 (pow x 2)))))
(* -5/128 (pow x 4))
(* (pow x 4) (- (* 1/16 (/ 1 x)) 5/128))
(* (pow x 4) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16) x)) 5/128))
1/2
(+ 1/2 (* -1/8 x))
(+ 1/2 (* x (- (* 1/16 x) 1/8)))
(+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))
(* -5/128 (pow x 3))
(* (pow x 3) (- (* 1/16 (/ 1 x)) 5/128))
(* (pow x 3) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))
(* (pow x 3) (- (+ (* 1/16 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))) (+ 5/128 (/ 1/8 (pow x 2)))))
(* -5/128 (pow x 3))
(* -1 (* (pow x 3) (- 5/128 (* 1/16 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 5/128 (* -1 (/ (- 1/16 (* 1/8 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 5/128 (* -1 (/ (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))) x)))))
(* -1/8 x)
(* x (- (* 1/16 x) 1/8))
(* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))
(* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))
(* -5/128 (pow x 3))
(* (pow x 3) (- (* 1/16 (/ 1 x)) 5/128))
(* (pow x 3) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))
(* (pow x 3) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))
(* -5/128 (pow x 3))
(* -1 (* (pow x 3) (- 5/128 (* 1/16 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 5/128 (* -1 (/ (- 1/16 (* 1/8 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 5/128 (* -1 (/ (- 1/16 (* 1/8 (/ 1 x))) x)))))
-1/8
(- (* 1/16 x) 1/8)
(- (* x (+ 1/16 (* -5/128 x))) 1/8)
(- (* x (+ 1/16 (* -5/128 x))) 1/8)
(* -5/128 (pow x 2))
(* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))
(* (pow x 2) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))
(* (pow x 2) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))
(* -5/128 (pow x 2))
(* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))
(* (pow x 2) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))
(* (pow x 2) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))
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)
(* 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)))
8
(+ 8 (* 1/8 (pow x 3)))
(+ 8 (* 1/8 (pow x 3)))
(+ 8 (* 1/8 (pow x 3)))
(* 1/8 (pow x 3))
(* (pow x 3) (+ 1/8 (* 8 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 1/8 (* 8 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 1/8 (* 8 (/ 1 (pow x 3)))))
(* 1/8 (pow x 3))
(* (pow x 3) (+ 1/8 (* 8 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 1/8 (* 8 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 1/8 (* 8 (/ 1 (pow x 3)))))
(* 1/8 (pow x 3))
(* 1/8 (pow x 3))
(* 1/8 (pow x 3))
(* 1/8 (pow x 3))
(* 1/8 (pow x 3))
(* 1/8 (pow x 3))
(* 1/8 (pow x 3))
(* 1/8 (pow x 3))
(* 1/8 (pow x 3))
(* 1/8 (pow x 3))
(* 1/8 (pow x 3))
(* 1/8 (pow x 3))
1/16
(+ 1/16 (* -5/128 x))
(+ 1/16 (* -5/128 x))
(+ 1/16 (* -5/128 x))
(* -5/128 x)
(* x (- (* 1/16 (/ 1 x)) 5/128))
(* x (- (* 1/16 (/ 1 x)) 5/128))
(* x (- (* 1/16 (/ 1 x)) 5/128))
(* -5/128 x)
(* -1 (* x (- 5/128 (* 1/16 (/ 1 x)))))
(* -1 (* x (- 5/128 (* 1/16 (/ 1 x)))))
(* -1 (* x (- 5/128 (* 1/16 (/ 1 x)))))
(* 1/16 x)
(* x (+ 1/16 (* -5/128 x)))
(* x (+ 1/16 (* -5/128 x)))
(* x (+ 1/16 (* -5/128 x)))
(* -5/128 (pow x 2))
(* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))
(* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))
(* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))
(* -5/128 (pow x 2))
(* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))
(* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))
(* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))
(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)
1/4
(+ 1/4 (* 1/16 x))
(+ 1/4 (* x (+ 1/16 (* -1/256 (pow x 2)))))
(+ 1/4 (* x (+ 1/16 (* (pow x 2) (- (* -1/1024 x) 1/256)))))
(/ 4 (pow x 2))
(/ (+ 4 (* 16 (/ 1 x))) (pow x 2))
(/ (- (+ 4 (* 16 (/ 1 x))) (/ 256 (pow x 3))) (pow x 2))
(/ (+ 4 (+ (* -1 (/ (+ 256 (* 1024 (/ 1 x))) (pow x 3))) (* 16 (/ 1 x)))) (pow x 2))
(/ 4 (pow x 2))
(/ (+ 4 (* 16 (/ 1 x))) (pow x 2))
(/ (+ 4 (* -1 (/ (- (* 256 (/ 1 (pow x 2))) 16) x))) (pow x 2))
(/ (+ 4 (* -1 (/ (- (+ (* 256 (/ 1 (pow x 2))) (/ 1024 (pow x 3))) 16) x))) (pow x 2))
4
(+ 4 (* -1 x))
(+ 4 (* x (- (* 1/4 x) 1)))
(+ 4 (* x (- (* 1/4 x) 1)))
(* 1/4 (pow x 2))
(* (pow x 2) (- 1/4 (/ 1 x)))
(* (pow x 2) (- (+ 1/4 (/ 4 (pow x 2))) (/ 1 x)))
(* (pow x 2) (- (+ 1/4 (/ 4 (pow x 2))) (/ 1 x)))
(* 1/4 (pow x 2))
(* (pow x 2) (- 1/4 (/ 1 x)))
(* (pow x 2) (+ 1/4 (* -1 (/ (- 1 (* 4 (/ 1 x))) x))))
(* (pow x 2) (+ 1/4 (* -1 (/ (- 1 (* 4 (/ 1 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)))))
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(* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))
(.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (+.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal -5/128 binary64))))))
(* -5/128 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -5/128 binary64))))
(* (pow x 3) (- (* 1/16 (/ 1 x)) 5/128))
(.f64 x (.f64 x (*.f64 x (+.f64 #s(literal -5/128 binary64) (/.f64 #s(literal 1/16 binary64) x)))))
(* (pow x 3) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))
(.f64 x (.f64 x (*.f64 x (+.f64 #s(literal -5/128 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)))))
(* (pow x 3) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))
(.f64 x (.f64 x (*.f64 x (+.f64 #s(literal -5/128 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)))))
(* -5/128 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -5/128 binary64))))
(* -1 (* (pow x 3) (- 5/128 (* 1/16 (/ 1 x)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -5/128 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/16 binary64) x))))
(* -1 (* (pow x 3) (+ 5/128 (* -1 (/ (- 1/16 (* 1/8 (/ 1 x))) x)))))
(.f64 x (.f64 x (*.f64 x (+.f64 #s(literal -5/128 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)))))
(* -1 (* (pow x 3) (+ 5/128 (* -1 (/ (- 1/16 (* 1/8 (/ 1 x))) x)))))
(.f64 x (.f64 x (*.f64 x (+.f64 #s(literal -5/128 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)))))
-1/8
#s(literal -1/8 binary64)
(- (* 1/16 x) 1/8)
(+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))
(- (* x (+ 1/16 (* -5/128 x))) 1/8)
(+.f64 #s(literal -1/8 binary64) (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 x #s(literal -5/128 binary64)))))
(- (* x (+ 1/16 (* -5/128 x))) 1/8)
(+.f64 #s(literal -1/8 binary64) (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 x #s(literal -5/128 binary64)))))
(* -5/128 (pow x 2))
(.f64 x (.f64 x #s(literal -5/128 binary64)))
(* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))
(.f64 x (.f64 x (+.f64 #s(literal -5/128 binary64) (/.f64 #s(literal 1/16 binary64) x))))
(* (pow x 2) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal -5/128 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x)) x))))
(* (pow x 2) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))
(.f64 x (.f64 x (+.f64 #s(literal -5/128 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x)) x))))
(* -5/128 (pow x 2))
(.f64 x (.f64 x #s(literal -5/128 binary64)))
(* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))
(.f64 x (.f64 x (+.f64 #s(literal -5/128 binary64) (/.f64 #s(literal 1/16 binary64) x))))
(* (pow x 2) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))
(.f64 x (.f64 x (+.f64 #s(literal -5/128 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) x)) x))))
(* (pow x 2) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))
(.f64 x (.f64 x (+.f64 #s(literal -5/128 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 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 (* 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)
(* 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 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 32 binary64) x) #s(literal -8 binary64))))
(- (+ 2 (/ 32 (pow x 2))) (+ (* 8 (/ 1 x)) (* 128 (/ 1 (pow x 3)))))
(+.f64 #s(literal 2 binary64) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 32 binary64) x) #s(literal -8 binary64))) (/.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))
8
#s(literal 8 binary64)
(+ 8 (* 1/8 (pow x 3)))
(+.f64 #s(literal 8 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64))))
(+ 8 (* 1/8 (pow x 3)))
(+.f64 #s(literal 8 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64))))
(+ 8 (* 1/8 (pow x 3)))
(+.f64 #s(literal 8 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64))))
(* 1/8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(* (pow x 3) (+ 1/8 (* 8 (/ 1 (pow x 3)))))
(+.f64 #s(literal 8 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64))))
(* (pow x 3) (+ 1/8 (* 8 (/ 1 (pow x 3)))))
(+.f64 #s(literal 8 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64))))
(* (pow x 3) (+ 1/8 (* 8 (/ 1 (pow x 3)))))
(+.f64 #s(literal 8 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64))))
(* 1/8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(* (pow x 3) (+ 1/8 (* 8 (/ 1 (pow x 3)))))
(+.f64 #s(literal 8 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64))))
(* (pow x 3) (+ 1/8 (* 8 (/ 1 (pow x 3)))))
(+.f64 #s(literal 8 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64))))
(* (pow x 3) (+ 1/8 (* 8 (/ 1 (pow x 3)))))
(+.f64 #s(literal 8 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64))))
(* 1/8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(* 1/8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(* 1/8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(* 1/8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(* 1/8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(* 1/8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(* 1/8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(* 1/8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(* 1/8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(* 1/8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(* 1/8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(* 1/8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/8 binary64)))
1/16
#s(literal 1/16 binary64)
(+ 1/16 (* -5/128 x))
(+.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal -5/128 binary64)))
(+ 1/16 (* -5/128 x))
(+.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal -5/128 binary64)))
(+ 1/16 (* -5/128 x))
(+.f64 #s(literal 1/16 binary64) (*.f64 x #s(literal -5/128 binary64)))
(* -5/128 x)
(*.f64 x #s(literal -5/128 binary64))
(* x (- (* 1/16 (/ 1 x)) 5/128))
(*.f64 x (+.f64 #s(literal -5/128 binary64) (/.f64 #s(literal 1/16 binary64) x)))
(* x (- (* 1/16 (/ 1 x)) 5/128))
(*.f64 x (+.f64 #s(literal -5/128 binary64) (/.f64 #s(literal 1/16 binary64) x)))
(* x (- (* 1/16 (/ 1 x)) 5/128))
(*.f64 x (+.f64 #s(literal -5/128 binary64) (/.f64 #s(literal 1/16 binary64) x)))
(* -5/128 x)
(*.f64 x #s(literal -5/128 binary64))
(* -1 (* x (- 5/128 (* 1/16 (/ 1 x)))))
(*.f64 (+.f64 #s(literal 5/128 binary64) (/.f64 #s(literal -1/16 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- 5/128 (* 1/16 (/ 1 x)))))
(*.f64 (+.f64 #s(literal 5/128 binary64) (/.f64 #s(literal -1/16 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- 5/128 (* 1/16 (/ 1 x)))))
(*.f64 (+.f64 #s(literal 5/128 binary64) (/.f64 #s(literal -1/16 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(* 1/16 x)
(*.f64 x #s(literal 1/16 binary64))
(* x (+ 1/16 (* -5/128 x)))
(.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 x #s(literal -5/128 binary64))))
(* x (+ 1/16 (* -5/128 x)))
(.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 x #s(literal -5/128 binary64))))
(* x (+ 1/16 (* -5/128 x)))
(.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 x #s(literal -5/128 binary64))))
(* -5/128 (pow x 2))
(.f64 x (.f64 x #s(literal -5/128 binary64)))
(* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))
(.f64 x (.f64 x (+.f64 #s(literal -5/128 binary64) (/.f64 #s(literal 1/16 binary64) x))))
(* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))
(.f64 x (.f64 x (+.f64 #s(literal -5/128 binary64) (/.f64 #s(literal 1/16 binary64) x))))
(* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))
(.f64 x (.f64 x (+.f64 #s(literal -5/128 binary64) (/.f64 #s(literal 1/16 binary64) x))))
(* -5/128 (pow x 2))
(.f64 x (.f64 x #s(literal -5/128 binary64)))
(* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))
(.f64 x (.f64 x (+.f64 #s(literal -5/128 binary64) (/.f64 #s(literal 1/16 binary64) x))))
(* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))
(.f64 x (.f64 x (+.f64 #s(literal -5/128 binary64) (/.f64 #s(literal 1/16 binary64) x))))
(* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))
(.f64 x (.f64 x (+.f64 #s(literal -5/128 binary64) (/.f64 #s(literal 1/16 binary64) 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))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* 1/16 x))
(+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/4 binary64))
(+ 1/4 (* x (+ 1/16 (* -1/256 (pow x 2)))))
(+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 x (*.f64 x #s(literal -1/256 binary64))))))
(+ 1/4 (* x (+ 1/16 (* (pow x 2) (- (* -1/1024 x) 1/256)))))
(+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/256 binary64) (.f64 x #s(literal -1/1024 binary64))))))))
(/ 4 (pow x 2))
(/.f64 #s(literal 4 binary64) (*.f64 x x))
(/ (+ 4 (* 16 (/ 1 x))) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 16 binary64) x)) x) x)
(/ (- (+ 4 (* 16 (/ 1 x))) (/ 256 (pow x 3))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 16 binary64) x) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -256 binary64) (.f64 x (.f64 x x))))) (*.f64 x x))
(/ (+ 4 (+ (* -1 (/ (+ 256 (* 1024 (/ 1 x))) (pow x 3))) (* 16 (/ 1 x)))) (pow x 2))
(/.f64 (-.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 16 binary64) x)) (/.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 1024 binary64) x)) (.f64 x (.f64 x x)))) (*.f64 x x))
(/ 4 (pow x 2))
(/.f64 #s(literal 4 binary64) (*.f64 x x))
(/ (+ 4 (* 16 (/ 1 x))) (pow x 2))
(/.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 16 binary64) x)) x) x)
(/ (+ 4 (* -1 (/ (- (* 256 (/ 1 (pow x 2))) 16) x))) (pow x 2))
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 256 binary64) (.f64 x x)) #s(literal -16 binary64)) x)) (.f64 x x))
(/ (+ 4 (* -1 (/ (- (+ (* 256 (/ 1 (pow x 2))) (/ 1024 (pow x 3))) 16) x))) (pow x 2))
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 256 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1024 binary64) (.f64 x (.f64 x x))) #s(literal -16 binary64))) x)) (.f64 x x))
4
#s(literal 4 binary64)
(+ 4 (* -1 x))
(-.f64 #s(literal 4 binary64) x)
(+ 4 (* x (- (* 1/4 x) 1)))
(+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/4 binary64)))))
(+ 4 (* x (- (* 1/4 x) 1)))
(+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/4 binary64)))))
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* (pow x 2) (- 1/4 (/ 1 x)))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/4 binary64))))
(* (pow x 2) (- (+ 1/4 (/ 4 (pow x 2))) (/ 1 x)))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x))))))
(* (pow x 2) (- (+ 1/4 (/ 4 (pow x 2))) (/ 1 x)))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x))))))
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* (pow x 2) (- 1/4 (/ 1 x)))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/4 binary64))))
(* (pow x 2) (+ 1/4 (* -1 (/ (- 1 (* 4 (/ 1 x))) x))))
(.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) x)) x)))
(* (pow x 2) (+ 1/4 (* -1 (/ (- 1 (* 4 (/ 1 x))) x))))
(.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) x)) x)))

eval222.0ms (1.9%)

Compiler: Compiled 29962 to 4201 computations (86% saved)

prune191.0ms (1.6%)

Pruning

31 alts after pruning (23 fresh and 8 done)

	Pruned	Kept	Total
New	1019	12	1031
Fresh	2	11	13
Picked	2	3	5
Done	0	5	5
Total	1023	31	1054

Accuracy

100.0%

Counts

1054 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.0%	(/.f64 x (/.f64 (-.f64 #s(literal 64 binary64) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 64 binary64))) (.f64 (-.f64 (+.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64))) x) (-.f64 #s(literal 8 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))))))
	69.2%	(/.f64 x (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))
	67.8%	(/.f64 x (/.f64 (+.f64 #s(literal 512 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 512 binary64))) (.f64 (-.f64 (+.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64))) x) (+.f64 #s(literal 64 binary64) (/.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))))))
	68.6%	(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (-.f64 (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64))) x)))
▶	69.6%	(/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
✓	69.0%	(/.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)))
✓	68.4%	(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
✓	69.6%	(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	68.2%	(/.f64 x (.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 64 binary64)) #s(literal 64 binary64)) (-.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)))))
	5.4%	(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 4 binary64) (.f64 x x))))
	36.9%	(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x))) (.f64 (+.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x)))))))
▶	68.4%	(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 16 binary64)) (.f64 (-.f64 #s(literal 4 binary64) x) (-.f64 #s(literal 4 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) x))))))
	68.6%	(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)))))
✓	68.7%	(/.f64 x #s(literal 2 binary64))
▶	68.5%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x)))) x))
✓	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) x))
	68.1%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x)))))
▶	68.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
	69.5%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)))
▶	69.5%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))
	32.5%	(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
	68.2%	(.f64 (/.f64 x (+.f64 #s(literal 8 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)))))) (.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 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 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 4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (*.f64 x #s(literal 2 binary64))))))))
	69.6%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) x)
✓	68.0%	(.f64 (+.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))))))) x)
	69.2%	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))) x)
	67.6%	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))) x)
	68.0%	(.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))))))))
	33.6%	(sqrt.f64 x)
	37.7%	(neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))))
✓	5.0%	#s(literal 2 binary64)

Compiler

Compiled 1160 to 629 computations (45.8% saved)

simplify256.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 16 binary64)) (.f64 (-.f64 #s(literal 4 binary64) x) (-.f64 #s(literal 4 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) x)))))
✓	cost-diff	0	(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 16 binary64)) (.f64 (-.f64 #s(literal 4 binary64) x) (-.f64 #s(literal 4 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) x))))))
✓	cost-diff	128	(.f64 (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 16 binary64)) (.f64 (-.f64 #s(literal 4 binary64) x) (-.f64 #s(literal 4 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) x)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 16 binary64)) (.f64 (-.f64 #s(literal 4 binary64) x) (-.f64 #s(literal 4 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) x))))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x))))
✓	cost-diff	0	(/.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x)))) x)
✓	cost-diff	128	(/.f64 (-.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x)))) x))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))
✓	cost-diff	256	(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))
✓	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	0	(/.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))

Rules

3588×	`-lowering-.f32`
3588×	`-lowering-.f64`
1934×	`/-lowering-/.f32`
1934×	`/-lowering-/.f64`
1138×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	348
1	113	326
2	288	312
3	1144	311
4	6183	306
0	8166	306

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize289.0ms (2.4%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 (.f64 x x) (*.f64 x x))
✓	accuracy	87.9%	(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 16 binary64)) (.f64 (-.f64 #s(literal 4 binary64) x) (-.f64 #s(literal 4 binary64) x)))
✓	accuracy	81.2%	(.f64 (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 16 binary64)) (.f64 (-.f64 #s(literal 4 binary64) x) (-.f64 #s(literal 4 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) x)))
✓	accuracy	80.9%	(.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 16 binary64)) (.f64 (-.f64 #s(literal 4 binary64) x) (-.f64 #s(literal 4 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) x)))))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x)))) x))
✓	accuracy	99.8%	(/.f64 (-.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x))
✓	accuracy	81.0%	(/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))
✓	accuracy	99.9%	(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))

Results

163.0ms	255×	0	valid
4.0ms	1×	5	exit

Compiler

Compiled 451 to 39 computations (91.4% saved)

Precisions

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

ival-div: 38.0ms (53.2% of total)

ival-sub: 14.0ms (19.6% of total)

ival-mult: 11.0ms (15.4% of total)

ival-add: 7.0ms (9.8% of total)

const: 1.0ms (1.4% of total)

backward-pass: 1.0ms (1.4% of total)

series15.0ms (0.1%)

Counts

19 → 228

Calls

Call 1

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

Outputs
#<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 (- (* 1/32 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 (/ 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 (/ (+ 2 (* 1/2 x)) x)>
#<alt (/ (+ 2 (* 1/2 x)) x)>
#<alt (/ (+ 2 (* 1/2 x)) x)>
#<alt 1/2>
#<alt (+ 1/2 (* 2 (/ 1 x)))>
#<alt (+ 1/2 (* 2 (/ 1 x)))>
#<alt (+ 1/2 (* 2 (/ 1 x)))>
#<alt 1/2>
#<alt (+ 1/2 (* 2 (/ 1 x)))>
#<alt (+ 1/2 (* 2 (/ 1 x)))>
#<alt (+ 1/2 (* 2 (/ 1 x)))>
#<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 (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 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 (* 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 (* -1 x)>
#<alt (* x (- (* 1/4 x) 1))>
#<alt (* x (- (* 1/4 x) 1))>
#<alt (* x (- (* 1/4 x) 1))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (- 1/4 (/ 1 x)))>
#<alt (* (pow x 2) (- 1/4 (/ 1 x)))>
#<alt (* (pow x 2) (- 1/4 (/ 1 x)))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (- 1/4 (/ 1 x)))>
#<alt (* (pow x 2) (- 1/4 (/ 1 x)))>
#<alt (* (pow x 2) (- 1/4 (/ 1 x)))>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* 1/2 x)) x)>
#<alt (/ (+ 2 (* 1/2 x)) x)>
#<alt (/ (+ 2 (* 1/2 x)) x)>
#<alt 1/2>
#<alt (+ 1/2 (* 2 (/ 1 x)))>
#<alt (+ 1/2 (* 2 (/ 1 x)))>
#<alt (+ 1/2 (* 2 (/ 1 x)))>
#<alt 1/2>
#<alt (+ 1/2 (* 2 (/ 1 x)))>
#<alt (+ 1/2 (* 2 (/ 1 x)))>
#<alt (+ 1/2 (* 2 (/ 1 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 1/4>
#<alt (+ 1/4 (* 1/16 x))>
#<alt (+ 1/4 (* x (+ 1/16 (* -1/256 (pow x 2)))))>
#<alt (+ 1/4 (* x (+ 1/16 (* (pow x 2) (- (* -1/1024 x) 1/256)))))>
#<alt (/ 4 (pow x 2))>
#<alt (/ (+ 4 (* 16 (/ 1 x))) (pow x 2))>
#<alt (/ (- (+ 4 (* 16 (/ 1 x))) (/ 256 (pow x 3))) (pow x 2))>
#<alt (/ (+ 4 (+ (* -1 (/ (+ 256 (* 1024 (/ 1 x))) (pow x 3))) (* 16 (/ 1 x)))) (pow x 2))>
#<alt (/ 4 (pow x 2))>
#<alt (/ (+ 4 (* 16 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 4 (* -1 (/ (- (* 256 (/ 1 (pow x 2))) 16) x))) (pow x 2))>
#<alt (/ (+ 4 (* -1 (/ (- (+ (* 256 (/ 1 (pow x 2))) (/ 1024 (pow x 3))) 16) x))) (pow x 2))>
#<alt 4>
#<alt (+ 4 (* -1 x))>
#<alt (+ 4 (* x (- (* 1/4 x) 1)))>
#<alt (+ 4 (* x (- (* 1/4 x) 1)))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (- 1/4 (/ 1 x)))>
#<alt (* (pow x 2) (- (+ 1/4 (/ 4 (pow x 2))) (/ 1 x)))>
#<alt (* (pow x 2) (- (+ 1/4 (/ 4 (pow x 2))) (/ 1 x)))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (- 1/4 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ (- 1 (* 4 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 1/4 (* -1 (/ (- 1 (* 4 (/ 1 x))) x))))>
#<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 (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 -16>
#<alt (- (* 8 x) 16)>
#<alt (- (* x (+ 8 (* -1 x))) 16)>
#<alt (- (* x (+ 8 (* x (- (* 1/16 (pow x 2)) 1)))) 16)>
#<alt (* 1/16 (pow x 4))>
#<alt (* (pow x 4) (- 1/16 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (- (+ 1/16 (/ 8 (pow x 3))) (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (- (+ 1/16 (/ 8 (pow x 3))) (+ (/ 1 (pow x 2)) (* 16 (/ 1 (pow x 4))))))>
#<alt (* 1/16 (pow x 4))>
#<alt (* (pow x 4) (- 1/16 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (- (+ 1/16 (/ 8 (pow x 3))) (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (- (+ 1/16 (* -1 (/ (- (* 16 (/ 1 x)) 8) (pow x 3)))) (/ 1 (pow x 2))))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>

Calls

57 calls:

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

rewrite458.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2750×	`-lowering-.f32`
2750×	`-lowering-.f64`
2734×	`fma-lowering-fma.f32`
2734×	`fma-lowering-fma.f64`
1474×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	136
1	313	96
2	3081	95
0	8301	95

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1120

Calls

Call 1

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

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

simplify3.1s (25.8%)

Algorithm

1×	egg-herbie

Rules

2850×	`-lowering-.f32`
2850×	`-lowering-.f64`
1752×	`+-lowering-+.f64`
1752×	`+-lowering-+.f32`
1656×	`sum5-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	158	1321
1	458	1188
2	1182	1176
3	2829	1147
4	7970	1147
0	8779	1147

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(* 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 (- (* 1/32 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))))
(/ 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)
(/ (+ 2 (* 1/2 x)) x)
(/ (+ 2 (* 1/2 x)) x)
(/ (+ 2 (* 1/2 x)) x)
1/2
(+ 1/2 (* 2 (/ 1 x)))
(+ 1/2 (* 2 (/ 1 x)))
(+ 1/2 (* 2 (/ 1 x)))
1/2
(+ 1/2 (* 2 (/ 1 x)))
(+ 1/2 (* 2 (/ 1 x)))
(+ 1/2 (* 2 (/ 1 x)))
(* 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)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 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)
(* 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)))
(* -1 x)
(* x (- (* 1/4 x) 1))
(* x (- (* 1/4 x) 1))
(* x (- (* 1/4 x) 1))
(* 1/4 (pow x 2))
(* (pow x 2) (- 1/4 (/ 1 x)))
(* (pow x 2) (- 1/4 (/ 1 x)))
(* (pow x 2) (- 1/4 (/ 1 x)))
(* 1/4 (pow x 2))
(* (pow x 2) (- 1/4 (/ 1 x)))
(* (pow x 2) (- 1/4 (/ 1 x)))
(* (pow x 2) (- 1/4 (/ 1 x)))
(/ 2 x)
(/ (+ 2 (* 1/2 x)) x)
(/ (+ 2 (* 1/2 x)) x)
(/ (+ 2 (* 1/2 x)) x)
1/2
(+ 1/2 (* 2 (/ 1 x)))
(+ 1/2 (* 2 (/ 1 x)))
(+ 1/2 (* 2 (/ 1 x)))
1/2
(+ 1/2 (* 2 (/ 1 x)))
(+ 1/2 (* 2 (/ 1 x)))
(+ 1/2 (* 2 (/ 1 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))))
1/4
(+ 1/4 (* 1/16 x))
(+ 1/4 (* x (+ 1/16 (* -1/256 (pow x 2)))))
(+ 1/4 (* x (+ 1/16 (* (pow x 2) (- (* -1/1024 x) 1/256)))))
(/ 4 (pow x 2))
(/ (+ 4 (* 16 (/ 1 x))) (pow x 2))
(/ (- (+ 4 (* 16 (/ 1 x))) (/ 256 (pow x 3))) (pow x 2))
(/ (+ 4 (+ (* -1 (/ (+ 256 (* 1024 (/ 1 x))) (pow x 3))) (* 16 (/ 1 x)))) (pow x 2))
(/ 4 (pow x 2))
(/ (+ 4 (* 16 (/ 1 x))) (pow x 2))
(/ (+ 4 (* -1 (/ (- (* 256 (/ 1 (pow x 2))) 16) x))) (pow x 2))
(/ (+ 4 (* -1 (/ (- (+ (* 256 (/ 1 (pow x 2))) (/ 1024 (pow x 3))) 16) x))) (pow x 2))
4
(+ 4 (* -1 x))
(+ 4 (* x (- (* 1/4 x) 1)))
(+ 4 (* x (- (* 1/4 x) 1)))
(* 1/4 (pow x 2))
(* (pow x 2) (- 1/4 (/ 1 x)))
(* (pow x 2) (- (+ 1/4 (/ 4 (pow x 2))) (/ 1 x)))
(* (pow x 2) (- (+ 1/4 (/ 4 (pow x 2))) (/ 1 x)))
(* 1/4 (pow x 2))
(* (pow x 2) (- 1/4 (/ 1 x)))
(* (pow x 2) (+ 1/4 (* -1 (/ (- 1 (* 4 (/ 1 x))) x))))
(* (pow x 2) (+ 1/4 (* -1 (/ (- 1 (* 4 (/ 1 x))) x))))
(* 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))))
(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)
-16
(- (* 8 x) 16)
(- (* x (+ 8 (* -1 x))) 16)
(- (* x (+ 8 (* x (- (* 1/16 (pow x 2)) 1)))) 16)
(* 1/16 (pow x 4))
(* (pow x 4) (- 1/16 (/ 1 (pow x 2))))
(* (pow x 4) (- (+ 1/16 (/ 8 (pow x 3))) (/ 1 (pow x 2))))
(* (pow x 4) (- (+ 1/16 (/ 8 (pow x 3))) (+ (/ 1 (pow x 2)) (* 16 (/ 1 (pow x 4))))))
(* 1/16 (pow x 4))
(* (pow x 4) (- 1/16 (/ 1 (pow x 2))))
(* (pow x 4) (- (+ 1/16 (/ 8 (pow x 3))) (/ 1 (pow x 2))))
(* (pow x 4) (- (+ 1/16 (* -1 (/ (- (* 16 (/ 1 x)) 8) (pow x 3)))) (/ 1 (pow x 2))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)

Outputs
(* 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 (- (* 1/32 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 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 32 binary64) x) #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 (/.f64 (-.f64 #s(literal 32 binary64) (/.f64 #s(literal 128 binary64) x)) x) #s(literal -8 binary64)) 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 (/.f64 #s(literal 32 binary64) x) #s(literal -8 binary64)) x))
(+ 2 (* -1 (/ (+ 8 (* -1 (/ (- 32 (* 128 (/ 1 x))) x))) x)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 32 binary64) (/.f64 #s(literal 128 binary64) x)) x) #s(literal -8 binary64)) 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))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* 1/2 x)) x)
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(/ (+ 2 (* 1/2 x)) x)
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(/ (+ 2 (* 1/2 x)) x)
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 2 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x))
(+ 1/2 (* 2 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x))
(+ 1/2 (* 2 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 2 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x))
(+ 1/2 (* 2 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x))
(+ 1/2 (* 2 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 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 (- (* 1/32 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 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 32 binary64) x) #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 (/.f64 (-.f64 #s(literal 32 binary64) (/.f64 #s(literal 128 binary64) x)) x) #s(literal -8 binary64)) 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 (/.f64 #s(literal 32 binary64) x) #s(literal -8 binary64)) x))
(+ 2 (* -1 (/ (+ 8 (* -1 (/ (- 32 (* 128 (/ 1 x))) x))) x)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 32 binary64) (/.f64 #s(literal 128 binary64) x)) x) #s(literal -8 binary64)) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) 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)
(* 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 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 32 binary64) x) #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 (/.f64 (-.f64 #s(literal 32 binary64) (/.f64 #s(literal 128 binary64) x)) x) #s(literal -8 binary64)) 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 (/.f64 #s(literal 32 binary64) x) #s(literal -8 binary64)) x))
(+ 2 (* -1 (/ (+ 8 (* -1 (/ (- 32 (* 128 (/ 1 x))) x))) x)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 32 binary64) (/.f64 #s(literal 128 binary64) x)) x) #s(literal -8 binary64)) x))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 1/4 x) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/4 binary64))))
(* x (- (* 1/4 x) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/4 binary64))))
(* x (- (* 1/4 x) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/4 binary64))))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* (pow x 2) (- 1/4 (/ 1 x)))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/4 binary64))))
(* (pow x 2) (- 1/4 (/ 1 x)))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/4 binary64))))
(* (pow x 2) (- 1/4 (/ 1 x)))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/4 binary64))))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* (pow x 2) (- 1/4 (/ 1 x)))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/4 binary64))))
(* (pow x 2) (- 1/4 (/ 1 x)))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/4 binary64))))
(* (pow x 2) (- 1/4 (/ 1 x)))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/4 binary64))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* 1/2 x)) x)
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(/ (+ 2 (* 1/2 x)) x)
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(/ (+ 2 (* 1/2 x)) x)
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 2 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x))
(+ 1/2 (* 2 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x))
(+ 1/2 (* 2 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 2 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x))
(+ 1/2 (* 2 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x))
(+ 1/2 (* 2 (/ 1 x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) 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))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* 1/16 x))
(+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/16 binary64)))
(+ 1/4 (* x (+ 1/16 (* -1/256 (pow x 2)))))
(+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 (*.f64 x x) #s(literal -1/256 binary64)))))
(+ 1/4 (* x (+ 1/16 (* (pow x 2) (- (* -1/1024 x) 1/256)))))
(+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/256 binary64) (.f64 x #s(literal -1/1024 binary64)))))))
(/ 4 (pow x 2))
(/.f64 #s(literal 4 binary64) (*.f64 x x))
(/ (+ 4 (* 16 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 16 binary64) x)) (*.f64 x x))
(/ (- (+ 4 (* 16 (/ 1 x))) (/ 256 (pow x 3))) (pow x 2))
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 256 binary64) (.f64 x x))) x)) (.f64 x x))
(/ (+ 4 (+ (* -1 (/ (+ 256 (* 1024 (/ 1 x))) (pow x 3))) (* 16 (/ 1 x)))) (pow x 2))
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 (+.f64 #s(literal -256 binary64) (/.f64 #s(literal -1024 binary64) x)) (.f64 x x))) x)) (.f64 x x))
(/ 4 (pow x 2))
(/.f64 #s(literal 4 binary64) (*.f64 x x))
(/ (+ 4 (* 16 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 16 binary64) x)) (*.f64 x x))
(/ (+ 4 (* -1 (/ (- (* 256 (/ 1 (pow x 2))) 16) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 256 binary64) (.f64 x x))) x)) (.f64 x x))
(/ (+ 4 (* -1 (/ (- (+ (* 256 (/ 1 (pow x 2))) (/ 1024 (pow x 3))) 16) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 (+.f64 #s(literal -256 binary64) (/.f64 #s(literal -1024 binary64) x)) (.f64 x x))) x)) (.f64 x x))
4
#s(literal 4 binary64)
(+ 4 (* -1 x))
(-.f64 #s(literal 4 binary64) x)
(+ 4 (* x (- (* 1/4 x) 1)))
(+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/4 binary64)))) #s(literal 4 binary64))
(+ 4 (* x (- (* 1/4 x) 1)))
(+.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/4 binary64)))) #s(literal 4 binary64))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* (pow x 2) (- 1/4 (/ 1 x)))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/4 binary64))))
(* (pow x 2) (- (+ 1/4 (/ 4 (pow x 2))) (/ 1 x)))
(.f64 x (+.f64 (.f64 x #s(literal 1/4 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) x))))
(* (pow x 2) (- (+ 1/4 (/ 4 (pow x 2))) (/ 1 x)))
(.f64 x (+.f64 (.f64 x #s(literal 1/4 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) x))))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* (pow x 2) (- 1/4 (/ 1 x)))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/4 binary64))))
(* (pow x 2) (+ 1/4 (* -1 (/ (- 1 (* 4 (/ 1 x))) x))))
(.f64 x (+.f64 (.f64 x #s(literal 1/4 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) x))))
(* (pow x 2) (+ 1/4 (* -1 (/ (- 1 (* 4 (/ 1 x))) x))))
(.f64 x (+.f64 (.f64 x #s(literal 1/4 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 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 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 32 binary64) x) #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 (/.f64 (-.f64 #s(literal 32 binary64) (/.f64 #s(literal 128 binary64) x)) x) #s(literal -8 binary64)) 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 (/.f64 #s(literal 32 binary64) x) #s(literal -8 binary64)) x))
(+ 2 (* -1 (/ (+ 8 (* -1 (/ (- 32 (* 128 (/ 1 x))) x))) x)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 32 binary64) (/.f64 #s(literal 128 binary64) x)) x) #s(literal -8 binary64)) 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))
(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))
-16
#s(literal -16 binary64)
(- (* 8 x) 16)
(+.f64 (*.f64 x #s(literal 8 binary64)) #s(literal -16 binary64))
(- (* x (+ 8 (* -1 x))) 16)
(+.f64 (*.f64 x (-.f64 #s(literal 8 binary64) x)) #s(literal -16 binary64))
(- (* x (+ 8 (* x (- (* 1/16 (pow x 2)) 1)))) 16)
(+.f64 (.f64 x (+.f64 #s(literal 8 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))) #s(literal -16 binary64))
(* 1/16 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/16 binary64)))
(* (pow x 4) (- 1/16 (/ 1 (pow x 2))))
(.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(* (pow x 4) (- (+ 1/16 (/ 8 (pow x 3))) (/ 1 (pow x 2))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/16 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 8 binary64) x) #s(literal -1 binary64)))))
(* (pow x 4) (- (+ 1/16 (/ 8 (pow x 3))) (+ (/ 1 (pow x 2)) (* 16 (/ 1 (pow x 4))))))
(.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/16 binary64) (.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) x) #s(literal -8 binary64)) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x))))))
(* 1/16 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/16 binary64)))
(* (pow x 4) (- 1/16 (/ 1 (pow x 2))))
(.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(* (pow x 4) (- (+ 1/16 (/ 8 (pow x 3))) (/ 1 (pow x 2))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/16 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 8 binary64) x) #s(literal -1 binary64)))))
(* (pow x 4) (- (+ 1/16 (* -1 (/ (- (* 16 (/ 1 x)) 8) (pow x 3)))) (/ 1 (pow x 2))))
(.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/16 binary64) (.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) x) #s(literal -8 binary64)) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x))))))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))

eval377.0ms (3.2%)

Compiler: Compiled 38864 to 3621 computations (90.7% saved)

prune312.0ms (2.6%)

Pruning

35 alts after pruning (24 fresh and 11 done)

	Pruned	Kept	Total
New	1494	8	1502
Fresh	2	16	18
Picked	2	3	5
Done	0	8	8
Total	1498	35	1533

Accuracy

100.0%

Counts

1533 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.4%	(/.f64 x (/.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)) (.f64 (-.f64 #s(literal 4 binary64) x) (-.f64 #s(literal 4 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))))))
	68.0%	(/.f64 x (/.f64 (-.f64 #s(literal 64 binary64) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 64 binary64))) (.f64 (-.f64 (+.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64))) x) (-.f64 #s(literal 8 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))))))
	69.2%	(/.f64 x (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))
	68.6%	(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (-.f64 (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64))) x)))
✓	69.6%	(/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
✓	69.0%	(/.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)))
✓	68.4%	(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
✓	69.6%	(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	68.2%	(/.f64 x (.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 64 binary64)) #s(literal 64 binary64)) (-.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)))))
	68.6%	(/.f64 x (.f64 (/.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64)) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64))) (+.f64 (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64))) x)))
	68.1%	(/.f64 x (.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 #s(literal 64 binary64) (.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) x) (/.f64 (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (.f64 x x)))))) (+.f64 #s(literal 16 binary64) (.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) x) (-.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) x) #s(literal 4 binary64))))))
	5.4%	(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 4 binary64) (.f64 x x))))
	36.9%	(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x))) (.f64 (+.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x)))))))
	4.4%	(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) x))))))
	68.6%	(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)))))
✓	68.7%	(/.f64 x #s(literal 2 binary64))
✓	68.5%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x)))) x))
✓	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) x))
✓	68.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
	69.5%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)))
	68.1%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) x))) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) x)))
	5.0%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/2 binary64) x)))
	68.3%	(/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) x))) x)))
	68.3%	(/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 4 binary64) (-.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) x))))))
	32.5%	(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
	68.2%	(.f64 (/.f64 x (+.f64 #s(literal 8 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)))))) (.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 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 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 4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (*.f64 x #s(literal 2 binary64))))))))
	69.6%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) x)
✓	68.0%	(.f64 (+.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))))))) x)
	69.2%	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))) x)
	67.6%	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))) x)
	68.0%	(.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))))))))
	33.6%	(sqrt.f64 x)
	37.7%	(neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))))
✓	5.0%	#s(literal 2 binary64)

Compiler

Compiled 1688 to 627 computations (62.9% saved)

regimes33.0ms (0.3%)

Counts

47 → 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 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))) x)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)))
(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) x)
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) x))
(/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #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))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))) x)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 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 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))))))))
(.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))))))))
(.f64 (+.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))))))) x)
(/.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 2 binary64) (/.f64 x #s(literal 2 binary64)))))
(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 4 binary64) (.f64 x x))))
(/.f64 x (.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (-.f64 (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64))) x)))
(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)))))
(/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 4 binary64) (-.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) x))))))
(/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) x))) x)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) x))) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x)))) x))
(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x)))))
(/.f64 x (.f64 (/.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64)) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64))) (+.f64 (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64))) x)))
(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) x))))))
(/.f64 x (/.f64 (-.f64 #s(literal 64 binary64) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 64 binary64))) (.f64 (-.f64 (+.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64))) x) (-.f64 #s(literal 8 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))))))
(/.f64 x (.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 64 binary64)) #s(literal 64 binary64)) (-.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)))))
(/.f64 x (/.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)) (.f64 (-.f64 #s(literal 4 binary64) x) (-.f64 #s(literal 4 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))))))
(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 16 binary64)) (.f64 (-.f64 #s(literal 4 binary64) x) (-.f64 #s(literal 4 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) x))))))
(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x))) (.f64 (+.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x)))))))
(/.f64 x (/.f64 (+.f64 #s(literal 512 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 512 binary64))) (.f64 (-.f64 (+.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64))) x) (+.f64 #s(literal 64 binary64) (/.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))))))
(/.f64 x (.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 #s(literal 64 binary64) (.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) x) (/.f64 (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (.f64 x x)))))) (+.f64 #s(literal 16 binary64) (.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) x) (-.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) x) #s(literal 4 binary64))))))
(.f64 (/.f64 x (+.f64 #s(literal 8 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)))))) (.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 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 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 4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (*.f64 x #s(literal 2 binary64))))))))
(sqrt.f64 x)
(+.f64 (sqrt.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 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 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) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))) x)

Outputs
(*.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)

Calls

2 calls:

14.0ms	x
13.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

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)

regimes33.0ms (0.3%)

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 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))) x)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)))
(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) x)
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) x))
(/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #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))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))) x)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 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 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))))))))
(.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))))))))
(.f64 (+.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))))))) x)
(/.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 2 binary64) (/.f64 x #s(literal 2 binary64)))))
(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 4 binary64) (.f64 x x))))
(/.f64 x (.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (-.f64 (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64))) x)))
(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)))))
(/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 4 binary64) (-.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) x))))))
(/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) x))) x)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) x))) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x)))) x))
(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x)))))
(/.f64 x (.f64 (/.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64)) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64))) (+.f64 (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64))) x)))
(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) x))))))
(/.f64 x (/.f64 (-.f64 #s(literal 64 binary64) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 64 binary64))) (.f64 (-.f64 (+.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64))) x) (-.f64 #s(literal 8 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))))))
(/.f64 x (.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 64 binary64)) #s(literal 64 binary64)) (-.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)))))
(/.f64 x (/.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)) (.f64 (-.f64 #s(literal 4 binary64) x) (-.f64 #s(literal 4 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))))))
(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 16 binary64)) (.f64 (-.f64 #s(literal 4 binary64) x) (-.f64 #s(literal 4 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) x))))))
(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x))) (.f64 (+.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x)))))))
(/.f64 x (/.f64 (+.f64 #s(literal 512 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 512 binary64))) (.f64 (-.f64 (+.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64))) x) (+.f64 #s(literal 64 binary64) (/.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))))))
(/.f64 x (.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 #s(literal 64 binary64) (.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) x) (/.f64 (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (.f64 x x)))))) (+.f64 #s(literal 16 binary64) (.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) x) (-.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) x) #s(literal 4 binary64))))))
(.f64 (/.f64 x (+.f64 #s(literal 8 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)))))) (.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 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 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 4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (*.f64 x #s(literal 2 binary64))))))))
(sqrt.f64 x)
(+.f64 (sqrt.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 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 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))

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

Calls

2 calls:

14.0ms	x
13.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

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)

regimes18.0ms (0.2%)

Counts

44 → 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 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))) x)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)))
(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) x)
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) x))
(/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #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))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))) x)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 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 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))))))))
(.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))))))))
(.f64 (+.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))))))) x)
(/.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 2 binary64) (/.f64 x #s(literal 2 binary64)))))
(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 4 binary64) (.f64 x x))))
(/.f64 x (.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (-.f64 (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64))) x)))
(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)))))
(/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 4 binary64) (-.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) x))))))
(/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) x))) x)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) x))) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x)))) x))
(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x)))))
(/.f64 x (.f64 (/.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64)) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64))) (+.f64 (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64))) x)))
(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) x))))))
(/.f64 x (/.f64 (-.f64 #s(literal 64 binary64) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 64 binary64))) (.f64 (-.f64 (+.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64))) x) (-.f64 #s(literal 8 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))))))
(/.f64 x (.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 64 binary64)) #s(literal 64 binary64)) (-.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)))))
(/.f64 x (/.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)) (.f64 (-.f64 #s(literal 4 binary64) x) (-.f64 #s(literal 4 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))))))
(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 16 binary64)) (.f64 (-.f64 #s(literal 4 binary64) x) (-.f64 #s(literal 4 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) x))))))
(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x))) (.f64 (+.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x)))))))
(/.f64 x (/.f64 (+.f64 #s(literal 512 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 512 binary64))) (.f64 (-.f64 (+.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64))) x) (+.f64 #s(literal 64 binary64) (/.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))))))
(/.f64 x (.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 #s(literal 64 binary64) (.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) x) (/.f64 (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (.f64 x x)))))) (+.f64 #s(literal 16 binary64) (.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) x) (-.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) x) #s(literal 4 binary64))))))
(.f64 (/.f64 x (+.f64 #s(literal 8 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)))))) (.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 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 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 4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (*.f64 x #s(literal 2 binary64))))))))
(sqrt.f64 x)
(+.f64 (sqrt.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))))

Outputs

(*.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))))))))

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
99.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes135.0ms (1.1%)

Counts

43 → 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 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))) x)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)))
(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) x)
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) x))
(/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #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))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))) x)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 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 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))))))))
(.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))))))))
(.f64 (+.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))))))) x)
(/.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 2 binary64) (/.f64 x #s(literal 2 binary64)))))
(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 4 binary64) (.f64 x x))))
(/.f64 x (.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (-.f64 (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64))) x)))
(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)))))
(/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 4 binary64) (-.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) x))))))
(/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) x))) x)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) x))) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x)))) x))
(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x)))))
(/.f64 x (.f64 (/.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64)) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64))) (+.f64 (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64))) x)))
(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) x))))))
(/.f64 x (/.f64 (-.f64 #s(literal 64 binary64) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 64 binary64))) (.f64 (-.f64 (+.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64))) x) (-.f64 #s(literal 8 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))))))
(/.f64 x (.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 64 binary64)) #s(literal 64 binary64)) (-.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)))))
(/.f64 x (/.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)) (.f64 (-.f64 #s(literal 4 binary64) x) (-.f64 #s(literal 4 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))))))
(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 16 binary64)) (.f64 (-.f64 #s(literal 4 binary64) x) (-.f64 #s(literal 4 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) x))))))
(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x))) (.f64 (+.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x)))))))
(/.f64 x (/.f64 (+.f64 #s(literal 512 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 512 binary64))) (.f64 (-.f64 (+.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64))) x) (+.f64 #s(literal 64 binary64) (/.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))))))
(/.f64 x (.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 #s(literal 64 binary64) (.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) x) (/.f64 (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (.f64 x x)))))) (+.f64 #s(literal 16 binary64) (.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) x) (-.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) x) #s(literal 4 binary64))))))
(.f64 (/.f64 x (+.f64 #s(literal 8 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)))))) (.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 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 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 4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (*.f64 x #s(literal 2 binary64))))))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) #s(literal -1 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)))

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
99.5%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes17.0ms (0.1%)

Counts

42 → 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 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))) x)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)))
(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) x)
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) x))
(/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #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))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))) x)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 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 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))))))))
(.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))))))))
(.f64 (+.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))))))) x)
(/.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 2 binary64) (/.f64 x #s(literal 2 binary64)))))
(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 4 binary64) (.f64 x x))))
(/.f64 x (.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (-.f64 (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64))) x)))
(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)))))
(/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 4 binary64) (-.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) x))))))
(/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) x))) x)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) x))) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x)))) x))
(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x)))))
(/.f64 x (.f64 (/.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64)) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64))) (+.f64 (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64))) x)))
(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) x))))))
(/.f64 x (/.f64 (-.f64 #s(literal 64 binary64) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 64 binary64))) (.f64 (-.f64 (+.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64))) x) (-.f64 #s(literal 8 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))))))
(/.f64 x (.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 64 binary64)) #s(literal 64 binary64)) (-.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)))))
(/.f64 x (/.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)) (.f64 (-.f64 #s(literal 4 binary64) x) (-.f64 #s(literal 4 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))))))
(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 16 binary64)) (.f64 (-.f64 #s(literal 4 binary64) x) (-.f64 #s(literal 4 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) x))))))
(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x))) (.f64 (+.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x)))))))
(/.f64 x (/.f64 (+.f64 #s(literal 512 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 512 binary64))) (.f64 (-.f64 (+.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64))) x) (+.f64 #s(literal 64 binary64) (/.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))))))
(/.f64 x (.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 #s(literal 64 binary64) (.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) x) (/.f64 (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (.f64 x x)))))) (+.f64 #s(literal 16 binary64) (.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) x) (-.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) x) #s(literal 4 binary64))))))
(.f64 (/.f64 x (+.f64 #s(literal 8 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)))))) (.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 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 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 4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (*.f64 x #s(literal 2 binary64))))))))
(sqrt.f64 x)

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)))
(sqrt.f64 x)

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
98.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes13.0ms (0.1%)

Counts

41 → 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 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))) x)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)))
(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) x)
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) x))
(/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #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))))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))) x)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 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 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))))))))
(.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))))))))
(.f64 (+.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))))))) x)
(/.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 2 binary64) (/.f64 x #s(literal 2 binary64)))))
(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 4 binary64) (.f64 x x))))
(/.f64 x (.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (-.f64 (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64))) x)))
(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)))))
(/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 4 binary64) (-.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) x))))))
(/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) x))) x)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) x))) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x)))) x))
(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x)))))
(/.f64 x (.f64 (/.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64)) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64))) (+.f64 (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64))) x)))
(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) x))))))
(/.f64 x (/.f64 (-.f64 #s(literal 64 binary64) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 64 binary64))) (.f64 (-.f64 (+.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64))) x) (-.f64 #s(literal 8 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))))))
(/.f64 x (.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 64 binary64)) #s(literal 64 binary64)) (-.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)))))
(/.f64 x (/.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)) (.f64 (-.f64 #s(literal 4 binary64) x) (-.f64 #s(literal 4 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))))))
(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 16 binary64)) (.f64 (-.f64 #s(literal 4 binary64) x) (-.f64 #s(literal 4 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) x))))))
(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x))) (.f64 (+.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x)))))))
(/.f64 x (/.f64 (+.f64 #s(literal 512 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 512 binary64))) (.f64 (-.f64 (+.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64))) x) (+.f64 #s(literal 64 binary64) (/.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))))))
(/.f64 x (.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 #s(literal 64 binary64) (.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) x) (/.f64 (.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (.f64 x x)))))) (+.f64 #s(literal 16 binary64) (.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) x) (-.f64 (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) x) #s(literal 4 binary64))))))
(.f64 (/.f64 x (+.f64 #s(literal 8 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)))))) (.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 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 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 4 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (*.f64 x #s(literal 2 binary64))))))))

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
69.6%	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 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))) x)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
69.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
68.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes106.0ms (0.9%)

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:

106.0ms

Results

Accuracy	Segments	Branch
5.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	8.743166499382689e-6	0.007243789931388058

Results

7.0ms

128×

valid

Compiler

Compiled 229 to 177 computations (22.7% saved)

Precisions

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

ival-div: 1.0ms (27.1% of total)

ival-add: 1.0ms (27.1% of total)

ival-sqrt: 1.0ms (27.1% of total)

const: 0.0ms (0% of total)

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

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.7720200880005745	1100193383316732.6

Results

9.0ms

160×

valid

Compiler

Compiled 243 to 189 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-add: 2.0ms (44.3% of total)

ival-div: 1.0ms (22.2% of total)

ival-sqrt: 1.0ms (22.2% of total)

const: 0.0ms (0% of total)

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

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.7720200880005745	1100193383316732.6

Results

9.0ms

160×

valid

Compiler

Compiled 223 to 169 computations (24.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-add: 2.0ms (43.1% of total)

ival-div: 1.0ms (21.5% of total)

ival-sqrt: 1.0ms (21.5% of total)

const: 0.0ms (0% of total)

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

simplify110.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

36×	`+-commutative_binary64`
30×	`unsub-neg_binary64`
26×	`*-commutative_binary64`
22×	`neg-mul-1_binary64`
16×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	108
1	78	108
2	86	108
3	98	107
4	123	107
5	138	107
6	148	107
7	158	107
8	166	107

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.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 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 2674777890687885/4611686018427387904 binary64)) (.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)))))))) (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 (.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 (sqrt.f64 x) #s(literal -1 binary64)))
(if (<=.f64 x #s(literal 4165829655317709/1125899906842624 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))) (sqrt.f64 x))
(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)))
(/.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
(*.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 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 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(if (<=.f64 x #s(literal 2674777890687885/4611686018427387904 binary64)) (.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)))))))) (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 2674777890687885/4611686018427387904 binary64)) (.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)))))))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(if (<=.f64 x #s(literal 3 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 (sqrt.f64 x) #s(literal -1 binary64)))
(if (<=.f64 x #s(literal 4165829655317709/1125899906842624 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))) (sqrt.f64 x))
(/.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 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)))
(/.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

soundness1.8s (15.3%)

Rules

3398×	`+-lowering-+.f64`
3398×	`+-lowering-+.f32`
3376×	`-lowering-.f32`
3376×	`-lowering-.f64`
3352×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	344	2085
1	1101	1798
2	3794	1778
0	8328	1778
0	346	1948
1	1145	1660
2	4107	1636
0	9042	1636
0	6	21
1	42	21
2	328	20
3	3669	20
0	8086	20
0	27	131
1	200	117
2	1654	117
0	8656	117
0	161	538
1	520	434
2	1993	412
3	7762	412
0	8435	412

Stop Event

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

Compiler

Compiled 233 to 143 computations (38.6% saved)

preprocess72.0ms (0.6%)

Compiler: Compiled 234 to 110 computations (53% saved)

analyze2.0ms (0%)

sample766.0ms (6.5%)

preprocess40.0ms (0.3%)

explain107.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize80.0ms (0.7%)

series5.0ms (0%)

rewrite298.0ms (2.5%)

simplify259.0ms (2.2%)

eval38.0ms (0.3%)

prune78.0ms (0.7%)

simplify30.0ms (0.3%)

localize204.0ms (1.7%)

series13.0ms (0.1%)

rewrite386.0ms (3.3%)

simplify401.0ms (3.4%)

eval99.0ms (0.8%)

prune128.0ms (1.1%)

simplify225.0ms (1.9%)

localize423.0ms (3.6%)

series13.0ms (0.1%)

rewrite389.0ms (3.3%)

simplify289.0ms (2.4%)

eval222.0ms (1.9%)

prune191.0ms (1.6%)

simplify256.0ms (2.2%)

localize289.0ms (2.4%)

series15.0ms (0.1%)

rewrite458.0ms (3.9%)

simplify3.1s (25.8%)

eval377.0ms (3.2%)

prune312.0ms (2.6%)

regimes33.0ms (0.3%)

regimes33.0ms (0.3%)

regimes18.0ms (0.2%)

regimes135.0ms (1.1%)

regimes17.0ms (0.1%)

regimes13.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes106.0ms (0.9%)

bsearch13.0ms (0.1%)

bsearch16.0ms (0.1%)

bsearch16.0ms (0.1%)

simplify110.0ms (0.9%)

soundness1.8s (15.3%)

preprocess72.0ms (0.6%)

end0.0ms (0%)

Profiling