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)

sample994.0ms (9.1%)

Results

766.0ms	8252×	0	valid
1.0ms	4×	2	valid
0.0ms	2×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 418.0ms

ival-add: 210.0ms (50.2% of total)

ival-div: 121.0ms (28.9% of total)

ival-sqrt: 72.0ms (17.2% of total)

const: 12.0ms (2.9% of total)

backward-pass: 3.0ms (0.7% of total)

Bogosity

preprocess36.0ms (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))))

explain100.0ms (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

51.0ms

512×

valid

Compiler

Compiled 59 to 20 computations (66.1% saved)

Precisions

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

ival-add: 7.0ms (39.5% of total)

ival-sqrt: 6.0ms (33.9% of total)

ival-div: 4.0ms (22.6% of total)

const: 1.0ms (5.6% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize49.0ms (0.5%)

Localize:

Found 4 expressions of interest:

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

Results

27.0ms

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 (37.4% of total)

ival-div: 2.0ms (24.9% of total)

ival-sqrt: 2.0ms (24.9% 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))

rewrite263.0ms (2.4%)

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	8084	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)))

simplify292.0ms (2.7%)

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))

eval47.0ms (0.4%)

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

prune42.0ms (0.4%)

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
▶	68.2%	(/.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)))
	67.6%	(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
▶	68.8%	(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
▶	99.8%	(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))))
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	38.2%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
▶	68.3%	(/.f64 x #s(literal 2 binary64))
▶	33.0%	(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
	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)
	66.8%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
	34.1%	(sqrt.f64 x)
	38.2%	(neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))))

Compiler

Compiled 203 to 146 computations (28.1% saved)

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

300×	`fma-define`
264×	`fma-lowering-fma.f32`
264×	`fma-lowering-fma.f64`
148×	`sum3-define`
140×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	130
1	55	120
2	114	120
3	204	120
4	321	120
5	431	120
6	464	120
0	464	120

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize155.0ms (1.4%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	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	100.0%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))
✓	accuracy	96.1%	(/.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 (*.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) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	99.9%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
✓	accuracy	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))))

Results

74.0ms	168×	0	valid
46.0ms	88×	0	invalid

Compiler

Compiled 147 to 27 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-div: 29.0ms (56.6% of total)

ival-add: 11.0ms (21.5% of total)

ival-mult: 7.0ms (13.7% of total)

ival-sqrt: 4.0ms (7.8% of total)

const: 1.0ms (2% of total)

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

series13.0ms (0.1%)

Counts

17 → 204

Calls

Call 1

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

51 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/ x (+ (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))) 2))
1.0ms	x	@	-inf	(/ x (+ (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))) 2))
0.0ms	x	@	0	(sqrt (/ 1 (+ x 1)))
0.0ms	x	@	-inf	(sqrt (/ 1 (+ x 1)))
0.0ms	x	@	inf	(sqrt (/ 1 (+ x 1)))

rewrite375.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3578×	`/-lowering-/.f32`
3578×	`/-lowering-/.f64`
3540×	`-lowering-.f32`
3540×	`-lowering-.f64`
2186×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	108
1	185	95
2	1512	95
0	8440	95

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 479

Calls

Call 1

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

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

simplify295.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

3884×	`-lowering-.f32`
3884×	`-lowering-.f64`
2398×	`+-lowering-+.f64`
2398×	`+-lowering-+.f32`
1172×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	338	1698
1	1077	1463
2	3633	1445
0	9030	1445

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

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

eval81.0ms (0.7%)

Compiler: Compiled 13486 to 2099 computations (84.4% saved)

prune117.0ms (1.1%)

Pruning

25 alts after pruning (20 fresh and 5 done)

	Pruned	Kept	Total
New	668	15	683
Fresh	1	5	6
Picked	1	4	5
Done	0	1	1
Total	670	25	695

Accuracy

100.0%

Counts

695 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.4%	(/.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 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)) (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))))))
	68.8%	(/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
✓	68.2%	(/.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)))
▶	67.6%	(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
✓	68.8%	(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
▶	99.8%	(/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64))))
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	38.2%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
	68.4%	(/.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)))))
	67.8%	(/.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)))))
▶	25.2%	(/.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))))
✓	68.3%	(/.f64 x #s(literal 2 binary64))
✓	33.0%	(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
	68.4%	(.f64 (/.f64 x (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
	67.6%	(.f64 (/.f64 x (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal -2 binary64)))))
	67.6%	(.f64 (/.f64 x (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) #s(literal -4 binary64))) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal -2 binary64)))
	67.8%	(.f64 (/.f64 x (+.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)))
▶	68.0%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))))
	68.8%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) x)
	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) x)
	66.8%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
	34.1%	(sqrt.f64 x)
	38.2%	(neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))))
▶	4.8%	#s(literal 2 binary64)

Compiler

Compiled 718 to 437 computations (39.1% saved)

simplify200.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(/.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))))
✓	cost-diff	640	(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))))
✓	cost-diff	0	(+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64)))
✓	cost-diff	128	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 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 binary64) (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64)))
✓	cost-diff	0	(/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64))))

Rules

2978×	`-lowering-.f32`
2978×	`-lowering-.f64`
2076×	`+-lowering-+.f64`
2076×	`+-lowering-+.f32`
1884×	`fma-define`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	38	233
1	89	223
2	218	222
3	602	221
4	1401	207
5	2350	203
6	3636	202
7	5321	202
8	6689	202
9	7865	202
0	8042	202

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize223.0ms (2%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(/.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))
✓	accuracy	96.1%	(/.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))))
✓	accuracy	84.0%	(+.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))
✓	accuracy	58.3%	(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
✓	accuracy	99.9%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64)))
✓	accuracy	84.0%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 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	84.6%	(/.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 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	99.9%	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64))
✓	accuracy	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64))))

Results

160.0ms

256×

valid

Compiler

Compiled 268 to 39 computations (85.4% saved)

Precisions

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

ival-div: 23.0ms (41.5% of total)

ival-add: 14.0ms (25.3% of total)

ival-mult: 10.0ms (18.1% of total)

ival-pow: 7.0ms (12.6% of total)

const: 1.0ms (1.8% of total)

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

series14.0ms (0.1%)

Counts

20 → 240

Calls

Call 1

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

Outputs
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))>
#<alt (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))>
#<alt (sqrt x)>
#<alt (- (sqrt x) 1)>
#<alt (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)>
#<alt (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))>
#<alt (* -1 (sqrt x))>
#<alt (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))>
#<alt (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))>
#<alt 2>
#<alt (+ 2 (* 1/2 x))>
#<alt (+ 2 (* x (+ 1/2 (* -1/8 x))))>
#<alt (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (/ 1 x)))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* -1/8 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- x 1)))>
#<alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ 1 x) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 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 (* -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 (- (* 1/32 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 (* x (- (* 1/2 x) 2))>
#<alt (* x (- (* 1/2 x) 2))>
#<alt (* x (- (* 1/2 x) 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (- 1/2 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/2 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/2 (* 2 (/ 1 x))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (- 1/2 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/2 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (- 1/2 (* 2 (/ 1 x))))>
#<alt -1/4>
#<alt (- (* -1/64 (pow x 2)) 1/4)>
#<alt (- (* (pow x 2) (- (* -1/1024 (pow x 2)) 1/64)) 1/4)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -1/16384 (pow x 2)) 1/1024)) 1/64)) 1/4)>
#<alt (/ 4 (pow x 2))>
#<alt (/ (+ 4 (* 64 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 4 (+ (* 64 (/ 1 (pow x 2))) (/ 1024 (pow x 4)))) (pow x 2))>
#<alt (/ (+ 4 (+ (* 64 (/ 1 (pow x 2))) (+ (* 16384 (/ 1 (pow x 6))) (/ 1024 (pow x 4))))) (pow x 2))>
#<alt (/ 4 (pow x 2))>
#<alt (/ (+ 4 (* 64 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 4 (+ (* 64 (/ 1 (pow x 2))) (/ 1024 (pow x 4)))) (pow x 2))>
#<alt (/ (+ 4 (+ (* 64 (/ 1 (pow x 2))) (+ (* 16384 (/ 1 (pow x 6))) (/ 1024 (pow x 4))))) (pow x 2))>
#<alt -4>
#<alt (- (* 1/4 (pow x 2)) 4)>
#<alt (- (* 1/4 (pow x 2)) 4)>
#<alt (- (* 1/4 (pow x 2)) 4)>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (- 1/4 (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/4 (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/4 (* 4 (/ 1 (pow x 2)))))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (- 1/4 (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/4 (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/4 (* 4 (/ 1 (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 (- (* 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 (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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -1/8 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 -1/2>
#<alt (- (* -1/8 x) 1/2)>
#<alt (- (* x (- (* -1/32 x) 1/8)) 1/2)>
#<alt (- (* x (- (* x (- (* -1/128 x) 1/32)) 1/8)) 1/2)>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* 8 (/ 1 x))) x)>
#<alt (/ (+ 2 (+ (* 8 (/ 1 x)) (/ 32 (pow x 2)))) x)>
#<alt (/ (+ 2 (+ (* 8 (/ 1 x)) (+ (* 128 (/ 1 (pow x 3))) (/ 32 (pow x 2))))) x)>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* 8 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 8 (* 32 (/ 1 x))) x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 8 (+ (* 32 (/ 1 x)) (/ 128 (pow x 2)))) x)) 2) x))>
#<alt (/ 2 (pow x 3))>
#<alt (/ (+ 2 (* 1/2 x)) (pow x 3))>
#<alt (/ (+ 2 (* x (+ 1/2 (* -1/8 x)))) (pow x 3))>
#<alt (/ (+ 2 (* x (+ 1/2 (* -1/8 x)))) (pow x 3))>
#<alt (/ -1/8 x)>
#<alt (/ (- (* 1/2 (/ 1 x)) 1/8) x)>
#<alt (/ (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8) x)>
#<alt (/ (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8) x)>
#<alt (/ -1/8 x)>
#<alt (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1/8 (* -1 (/ (+ 1/2 (* 2 (/ 1 x))) x))) x))>
#<alt (* -1 (/ (+ 1/8 (* -1 (/ (+ 1/2 (* 2 (/ 1 x))) x))) x))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>
#<alt (/ 2 (pow x 3))>

Calls

60 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(+ 1/2 (* x -1/8))
2.0ms	x	@	-inf	(/ 1 (+ (/ (* x x) 4) -4))
0.0ms	x	@	-inf	(* x (* x x))
0.0ms	x	@	-inf	(/ x (+ (* x (+ 1/2 (* x -1/8))) 2))
0.0ms	x	@	0	(/ 2 (* x (* x x)))

rewrite331.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

3434×	`/-lowering-/.f32`
3434×	`/-lowering-/.f64`
2624×	`-lowering-.f32`
2624×	`-lowering-.f64`
1922×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	167
1	292	142
2	2757	139
0	9018	139

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 580

Calls

Call 1

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

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

simplify274.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

4282×	`-lowering-.f32`
4282×	`-lowering-.f64`
1920×	`+-lowering-+.f64`
1920×	`+-lowering-+.f32`
1460×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	425	2055
1	1292	1768
2	4067	1757
0	8642	1757

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))
(sqrt x)
(- (sqrt x) 1)
(- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)
(- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))
(* -1 (sqrt x))
(+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))
2
(+ 2 (* 1/2 x))
(+ 2 (* x (+ 1/2 (* -1/8 x))))
(+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (/ 1 x)))
(* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/ 1 x)
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 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 (* -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 (- (* 1/32 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)
(* x (- (* 1/2 x) 2))
(* x (- (* 1/2 x) 2))
(* x (- (* 1/2 x) 2))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (* 2 (/ 1 x))))
(* (pow x 2) (- 1/2 (* 2 (/ 1 x))))
(* (pow x 2) (- 1/2 (* 2 (/ 1 x))))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (* 2 (/ 1 x))))
(* (pow x 2) (- 1/2 (* 2 (/ 1 x))))
(* (pow x 2) (- 1/2 (* 2 (/ 1 x))))
-1/4
(- (* -1/64 (pow x 2)) 1/4)
(- (* (pow x 2) (- (* -1/1024 (pow x 2)) 1/64)) 1/4)
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/16384 (pow x 2)) 1/1024)) 1/64)) 1/4)
(/ 4 (pow x 2))
(/ (+ 4 (* 64 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 4 (+ (* 64 (/ 1 (pow x 2))) (/ 1024 (pow x 4)))) (pow x 2))
(/ (+ 4 (+ (* 64 (/ 1 (pow x 2))) (+ (* 16384 (/ 1 (pow x 6))) (/ 1024 (pow x 4))))) (pow x 2))
(/ 4 (pow x 2))
(/ (+ 4 (* 64 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 4 (+ (* 64 (/ 1 (pow x 2))) (/ 1024 (pow x 4)))) (pow x 2))
(/ (+ 4 (+ (* 64 (/ 1 (pow x 2))) (+ (* 16384 (/ 1 (pow x 6))) (/ 1024 (pow x 4))))) (pow x 2))
-4
(- (* 1/4 (pow x 2)) 4)
(- (* 1/4 (pow x 2)) 4)
(- (* 1/4 (pow x 2)) 4)
(* 1/4 (pow x 2))
(* (pow x 2) (- 1/4 (* 4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/4 (* 4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/4 (* 4 (/ 1 (pow x 2)))))
(* 1/4 (pow x 2))
(* (pow x 2) (- 1/4 (* 4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/4 (* 4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/4 (* 4 (/ 1 (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 (- (* 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))
(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)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1/8 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)
-1/2
(- (* -1/8 x) 1/2)
(- (* x (- (* -1/32 x) 1/8)) 1/2)
(- (* x (- (* x (- (* -1/128 x) 1/32)) 1/8)) 1/2)
(/ 2 x)
(/ (+ 2 (* 8 (/ 1 x))) x)
(/ (+ 2 (+ (* 8 (/ 1 x)) (/ 32 (pow x 2)))) x)
(/ (+ 2 (+ (* 8 (/ 1 x)) (+ (* 128 (/ 1 (pow x 3))) (/ 32 (pow x 2))))) x)
(/ 2 x)
(/ (+ 2 (* 8 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 8 (* 32 (/ 1 x))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (+ 8 (+ (* 32 (/ 1 x)) (/ 128 (pow x 2)))) x)) 2) x))
(/ 2 (pow x 3))
(/ (+ 2 (* 1/2 x)) (pow x 3))
(/ (+ 2 (* x (+ 1/2 (* -1/8 x)))) (pow x 3))
(/ (+ 2 (* x (+ 1/2 (* -1/8 x)))) (pow x 3))
(/ -1/8 x)
(/ (- (* 1/2 (/ 1 x)) 1/8) x)
(/ (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8) x)
(/ (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8) x)
(/ -1/8 x)
(* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))
(* -1 (/ (+ 1/8 (* -1 (/ (+ 1/2 (* 2 (/ 1 x))) x))) x))
(* -1 (/ (+ 1/8 (* -1 (/ (+ 1/2 (* 2 (/ 1 x))) x))) x))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))

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

eval117.0ms (1.1%)

Compiler: Compiled 21848 to 2757 computations (87.4% saved)

prune151.0ms (1.4%)

Pruning

32 alts after pruning (24 fresh and 8 done)

	Pruned	Kept	Total
New	878	11	889
Fresh	2	13	15
Picked	2	3	5
Done	0	5	5
Total	882	32	914

Accuracy

100.0%

Counts

914 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.6%	(/.f64 (/.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))))))
	68.4%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))))
	68.4%	(/.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 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)) (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))))))
	67.6%	(/.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (.f64 x (.f64 x #s(literal -1/8 binary64))) #s(literal 2 binary64))))
	68.8%	(/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
✓	68.2%	(/.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)))
✓	67.6%	(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
✓	68.8%	(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
✓	99.8%	(/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64))))
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	38.2%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
▶	67.8%	(/.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)))))
	25.1%	(/.f64 x (.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (-.f64 #s(literal 0 binary64) x)))))
	7.4%	(/.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) (/.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))))))))
✓	68.3%	(/.f64 x #s(literal 2 binary64))
	67.8%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))))
✓	33.0%	(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
	2.2%	(.f64 (/.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 64 binary64) (.f64 x x))) x) x) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))))
	67.6%	(.f64 (/.f64 (.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (+.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)) #s(literal -16 binary64))) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)))
▶	68.4%	(.f64 (/.f64 x (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
▶	67.6%	(.f64 (/.f64 x (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal -2 binary64)))))
	67.6%	(.f64 (/.f64 x (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) #s(literal -4 binary64))) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal -2 binary64)))
	5.3%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
	67.8%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64))) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -1 binary64)))))))
	67.6%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64))) x)
	68.8%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) x)
▶	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) x)
▶	66.8%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
	34.1%	(sqrt.f64 x)
	38.2%	(neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))))
✓	4.8%	#s(literal 2 binary64)

Compiler

Compiled 1144 to 674 computations (41.1% saved)

simplify341.0ms (3.1%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

4172×	`-lowering-.f32`
4172×	`-lowering-.f64`
2024×	`+-lowering-+.f64`
2024×	`+-lowering-+.f32`
1150×	`/-lowering-/.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	46	389
1	126	317
2	343	310
3	1113	308
4	4800	304
5	6788	301
0	8018	301

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize428.0ms (3.9%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))
✓	accuracy	99.8%	(/.f64 x (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))))) #s(literal -4 binary64)))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal -2 binary64)))
✓	accuracy	74.0%	(.f64 (/.f64 x (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal -2 binary64)))))
✓	accuracy	100.0%	(+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)))
✓	accuracy	81.0%	(.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(/.f64 (*.f64 x x) #s(literal 4 binary64))
✓	accuracy	99.9%	(.f64 (/.f64 x (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
✓	accuracy	84.7%	(/.f64 x (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 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	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	99.9%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) x)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

308.0ms

256×

valid

Compiler

Compiled 433 to 47 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 21.0ms (34.8% of total)

ival-div: 18.0ms (29.8% of total)

ival-add: 15.0ms (24.9% of total)

ival-sqrt: 2.0ms (3.3% of total)

ival-sub: 1.0ms (1.7% of total)

const: 1.0ms (1.7% of total)

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

series21.0ms (0.2%)

Counts

25 → 300

Calls

Call 1

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

Outputs
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))>
#<alt (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))>
#<alt (sqrt x)>
#<alt (- (sqrt x) 1)>
#<alt (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)>
#<alt (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))>
#<alt (* -1 (sqrt x))>
#<alt (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))>
#<alt (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))>
#<alt 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 (* 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 (* -1/8 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 (* 1/2 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 (* -1/4 x)>
#<alt (* x (- (* -1/64 (pow x 2)) 1/4))>
#<alt (* x (- (* (pow x 2) (- (* -1/1024 (pow x 2)) 1/64)) 1/4))>
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/16384 (pow x 2)) 1/1024)) 1/64)) 1/4))>
#<alt (/ 4 x)>
#<alt (/ (+ 4 (* 64 (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 4 (+ (* 64 (/ 1 (pow x 2))) (/ 1024 (pow x 4)))) x)>
#<alt (/ (+ 4 (+ (* 64 (/ 1 (pow x 2))) (+ (* 16384 (/ 1 (pow x 6))) (/ 1024 (pow x 4))))) x)>
#<alt (/ 4 x)>
#<alt (/ (+ 4 (* 64 (/ 1 (pow x 2)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 64 (* 1024 (/ 1 (pow x 2)))) (pow x 2))) 4) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1024 (* 16384 (/ 1 (pow x 2)))) (pow x 4))) (+ 4 (* 64 (/ 1 (pow x 2))))) x))>
#<alt -4>
#<alt (- (* 1/4 (pow x 2)) 4)>
#<alt (- (* 1/4 (pow x 2)) 4)>
#<alt (- (* 1/4 (pow x 2)) 4)>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (- 1/4 (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/4 (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/4 (* 4 (/ 1 (pow x 2)))))>
#<alt (* 1/4 (pow x 2))>
#<alt (* (pow x 2) (- 1/4 (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/4 (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/4 (* 4 (/ 1 (pow x 2)))))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt 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 -2>
#<alt (- (* 1/2 x) 2)>
#<alt (- (* x (+ 1/2 (* -1/8 x))) 2)>
#<alt (- (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) 2)>
#<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)) (* 2 (/ 1 (pow x 3))))))>
#<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)) 1/2) x)) 1/8) x)) 1/16)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))>
#<alt (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))>
#<alt (/ 16 (pow x 2))>
#<alt (/ (+ 16 (* 32 (/ 1 x))) (pow x 2))>
#<alt (/ (- (+ 16 (* 32 (/ 1 x))) (/ 64 (pow x 2))) (pow x 2))>
#<alt (/ (+ 16 (+ (* -1 (/ (+ 64 (* 896 (/ 1 x))) (pow x 2))) (* 32 (/ 1 x)))) (pow x 2))>
#<alt (/ 16 (pow x 2))>
#<alt (/ (+ 16 (* 32 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 16 (* -1 (/ (- (* 64 (/ 1 x)) 32) x))) (pow x 2))>
#<alt (/ (+ 16 (* -1 (/ (- (+ (* 64 (/ 1 x)) (/ 896 (pow x 2))) 32) x))) (pow x 2))>
#<alt (* -1/4 x)>
#<alt (* x (- (* -1/64 (pow x 2)) 1/4))>
#<alt (* x (- (* (pow x 2) (- (* 1/128 x) 1/64)) 1/4))>
#<alt (* x (- (* (pow x 2) (- (* x (+ 1/128 (* -3/512 x))) 1/64)) 1/4))>
#<alt (/ 256 (pow x 5))>
#<alt (/ (+ 256 (* 1024 (/ 1 x))) (pow x 5))>
#<alt (/ (- (+ 256 (* 1024 (/ 1 x))) (/ 1024 (pow x 2))) (pow x 5))>
#<alt (/ (+ 256 (+ (* -1 (/ (+ 1024 (* 16384 (/ 1 x))) (pow x 2))) (* 1024 (/ 1 x)))) (pow x 5))>
#<alt (/ 256 (pow x 5))>
#<alt (/ (+ 256 (* 1024 (/ 1 x))) (pow x 5))>
#<alt (* -1 (/ (- (* -1 (/ (- 1024 (* 1024 (/ 1 x))) x)) 256) (pow x 5)))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1024 (* -1 (/ (+ 1024 (* 16384 (/ 1 x))) x))) x)) 256) (pow x 5)))>
#<alt -4>
#<alt (- (* 1/4 (pow x 2)) 4)>
#<alt (- (* (pow x 2) (+ 1/4 (* -1/8 x))) 4)>
#<alt (- (* (pow x 2) (+ 1/4 (* x (- (* 5/64 x) 1/8)))) 4)>
#<alt (* 1/256 (pow x 6))>
#<alt (* (pow x 6) (- 1/256 (* 1/64 (/ 1 x))))>
#<alt (* (pow x 6) (- (+ 1/256 (/ 5/64 (pow x 2))) (* 1/64 (/ 1 x))))>
#<alt (* (pow x 6) (- (+ 1/256 (/ 5/64 (pow x 2))) (+ (* 1/64 (/ 1 x)) (* 1/8 (/ 1 (pow x 3))))))>
#<alt (* 1/256 (pow x 6))>
#<alt (* (pow x 6) (- 1/256 (* 1/64 (/ 1 x))))>
#<alt (* (pow x 6) (+ 1/256 (* -1 (/ (- 1/64 (* 5/64 (/ 1 x))) x))))>
#<alt (* (pow x 6) (+ 1/256 (* -1 (/ (+ 1/64 (* -1 (/ (- 5/64 (* 1/8 (/ 1 x))) x))) x))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1/4>
#<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 (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 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>
#<alt (- (* -1/8 x) 1/2)>
#<alt (- (* x (- (* -1/128 (pow x 2)) 1/8)) 1/2)>
#<alt (- (* x (- (* (pow x 2) (- (* -3/512 x) 1/128)) 1/8)) 1/2)>
#<alt (/ 16 (pow x 3))>
#<alt (/ (+ 16 (* 32 (/ 1 x))) (pow x 3))>
#<alt (/ (- (+ 16 (* 32 (/ 1 x))) (/ 64 (pow x 2))) (pow x 3))>
#<alt (/ (- (+ 16 (+ (* 32 (/ 1 x)) (* 128 (/ 1 (pow x 3))))) (/ 64 (pow x 2))) (pow x 3))>
#<alt (/ 16 (pow x 3))>
#<alt (/ (+ 16 (* 32 (/ 1 x))) (pow x 3))>
#<alt (* -1 (/ (- (* -1 (/ (- 32 (* 64 (/ 1 x))) x)) 16) (pow x 3)))>
#<alt (* -1 (/ (- (* -1 (/ (+ 32 (* -1 (/ (- 64 (* 128 (/ 1 x))) x))) x)) 16) (pow x 3)))>
#<alt (* 1/4 x)>
#<alt (* x (+ 1/4 (* -1/8 x)))>
#<alt (* x (+ 1/4 (* x (- (* 5/64 x) 1/8))))>
#<alt (* x (+ 1/4 (* x (- (* x (+ 5/64 (* -1/64 x))) 1/8))))>
#<alt (* 1/256 (pow x 5))>
#<alt (* (pow x 5) (- 1/256 (* 1/64 (/ 1 x))))>
#<alt (* (pow x 5) (- (+ 1/256 (/ 5/64 (pow x 2))) (* 1/64 (/ 1 x))))>
#<alt (* (pow x 5) (- (+ 1/256 (/ 5/64 (pow x 2))) (+ (* 1/64 (/ 1 x)) (* 1/8 (/ 1 (pow x 3))))))>
#<alt (* 1/256 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/64 (/ 1 x)) 1/256)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (- (* 5/64 (/ 1 x)) 1/64) x)) 1/256)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 x)) 5/64) x)) 1/64) x)) 1/256)))>

Calls

75 calls:

Time	Variable		Point	Expression
9.0ms	x	@	-inf	(/ 1 (+ 1 (sqrt (+ x 1))))
1.0ms	x	@	inf	(+ (* x (* (+ 1/2 (* x (+ -1/8 (* x 1/16)))) (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) -4)
0.0ms	x	@	-inf	(* (/ x (+ (* x (* (+ 1/2 (* x (+ -1/8 (* x 1/16)))) (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))))) -4)) (/ 1 (/ 1 (+ (* x (+ 1/2 (* x (+ -1/8 (* x 1/16))))) -2))))
0.0ms	x	@	0	(* (+ 8 (/ (* x (* x x)) 8)) (/ 1 (+ (/ (* x x) 4) (- 4 x))))
0.0ms	x	@	inf	(* (+ 8 (/ (* x (* x x)) 8)) (/ 1 (+ (/ (* x x) 4) (- 4 x))))

rewrite355.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2790×	`-lowering-.f32`
2790×	`-lowering-.f64`
2684×	`fma-lowering-fma.f32`
2684×	`fma-lowering-fma.f64`
1956×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	276
1	335	203
2	3124	196
0	8366	196

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 672

Calls

Call 1

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

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

simplify259.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

3128×	`-lowering-.f32`
3128×	`-lowering-.f64`
2394×	`+-lowering-+.f64`
2394×	`+-lowering-+.f32`
1580×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	567	2685
1	1851	2314
2	6085	2307
0	8406	2307

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

Inputs
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))
(sqrt x)
(- (sqrt x) 1)
(- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)
(- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))
(* -1 (sqrt x))
(+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))
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)
(* 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)))))
(* -1/8 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)
(* 1/2 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)))
(* -1/4 x)
(* x (- (* -1/64 (pow x 2)) 1/4))
(* x (- (* (pow x 2) (- (* -1/1024 (pow x 2)) 1/64)) 1/4))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/16384 (pow x 2)) 1/1024)) 1/64)) 1/4))
(/ 4 x)
(/ (+ 4 (* 64 (/ 1 (pow x 2)))) x)
(/ (+ 4 (+ (* 64 (/ 1 (pow x 2))) (/ 1024 (pow x 4)))) x)
(/ (+ 4 (+ (* 64 (/ 1 (pow x 2))) (+ (* 16384 (/ 1 (pow x 6))) (/ 1024 (pow x 4))))) x)
(/ 4 x)
(/ (+ 4 (* 64 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 64 (* 1024 (/ 1 (pow x 2)))) (pow x 2))) 4) x))
(* -1 (/ (- (* -1 (/ (+ 1024 (* 16384 (/ 1 (pow x 2)))) (pow x 4))) (+ 4 (* 64 (/ 1 (pow x 2))))) x))
-4
(- (* 1/4 (pow x 2)) 4)
(- (* 1/4 (pow x 2)) 4)
(- (* 1/4 (pow x 2)) 4)
(* 1/4 (pow x 2))
(* (pow x 2) (- 1/4 (* 4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/4 (* 4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/4 (* 4 (/ 1 (pow x 2)))))
(* 1/4 (pow x 2))
(* (pow x 2) (- 1/4 (* 4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/4 (* 4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/4 (* 4 (/ 1 (pow x 2)))))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
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))
-2
(- (* 1/2 x) 2)
(- (* x (+ 1/2 (* -1/8 x))) 2)
(- (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) 2)
(* 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)) (* 2 (/ 1 (pow x 3))))))
(* 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)) 1/2) x)) 1/8) x)) 1/16)))
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))
(/ 16 (pow x 2))
(/ (+ 16 (* 32 (/ 1 x))) (pow x 2))
(/ (- (+ 16 (* 32 (/ 1 x))) (/ 64 (pow x 2))) (pow x 2))
(/ (+ 16 (+ (* -1 (/ (+ 64 (* 896 (/ 1 x))) (pow x 2))) (* 32 (/ 1 x)))) (pow x 2))
(/ 16 (pow x 2))
(/ (+ 16 (* 32 (/ 1 x))) (pow x 2))
(/ (+ 16 (* -1 (/ (- (* 64 (/ 1 x)) 32) x))) (pow x 2))
(/ (+ 16 (* -1 (/ (- (+ (* 64 (/ 1 x)) (/ 896 (pow x 2))) 32) x))) (pow x 2))
(* -1/4 x)
(* x (- (* -1/64 (pow x 2)) 1/4))
(* x (- (* (pow x 2) (- (* 1/128 x) 1/64)) 1/4))
(* x (- (* (pow x 2) (- (* x (+ 1/128 (* -3/512 x))) 1/64)) 1/4))
(/ 256 (pow x 5))
(/ (+ 256 (* 1024 (/ 1 x))) (pow x 5))
(/ (- (+ 256 (* 1024 (/ 1 x))) (/ 1024 (pow x 2))) (pow x 5))
(/ (+ 256 (+ (* -1 (/ (+ 1024 (* 16384 (/ 1 x))) (pow x 2))) (* 1024 (/ 1 x)))) (pow x 5))
(/ 256 (pow x 5))
(/ (+ 256 (* 1024 (/ 1 x))) (pow x 5))
(* -1 (/ (- (* -1 (/ (- 1024 (* 1024 (/ 1 x))) x)) 256) (pow x 5)))
(* -1 (/ (- (* -1 (/ (+ 1024 (* -1 (/ (+ 1024 (* 16384 (/ 1 x))) x))) x)) 256) (pow x 5)))
-4
(- (* 1/4 (pow x 2)) 4)
(- (* (pow x 2) (+ 1/4 (* -1/8 x))) 4)
(- (* (pow x 2) (+ 1/4 (* x (- (* 5/64 x) 1/8)))) 4)
(* 1/256 (pow x 6))
(* (pow x 6) (- 1/256 (* 1/64 (/ 1 x))))
(* (pow x 6) (- (+ 1/256 (/ 5/64 (pow x 2))) (* 1/64 (/ 1 x))))
(* (pow x 6) (- (+ 1/256 (/ 5/64 (pow x 2))) (+ (* 1/64 (/ 1 x)) (* 1/8 (/ 1 (pow x 3))))))
(* 1/256 (pow x 6))
(* (pow x 6) (- 1/256 (* 1/64 (/ 1 x))))
(* (pow x 6) (+ 1/256 (* -1 (/ (- 1/64 (* 5/64 (/ 1 x))) x))))
(* (pow x 6) (+ 1/256 (* -1 (/ (+ 1/64 (* -1 (/ (- 5/64 (* 1/8 (/ 1 x))) x))) x))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1/4
(+ 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))
(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)
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
(- (* -1/8 x) 1/2)
(- (* x (- (* -1/128 (pow x 2)) 1/8)) 1/2)
(- (* x (- (* (pow x 2) (- (* -3/512 x) 1/128)) 1/8)) 1/2)
(/ 16 (pow x 3))
(/ (+ 16 (* 32 (/ 1 x))) (pow x 3))
(/ (- (+ 16 (* 32 (/ 1 x))) (/ 64 (pow x 2))) (pow x 3))
(/ (- (+ 16 (+ (* 32 (/ 1 x)) (* 128 (/ 1 (pow x 3))))) (/ 64 (pow x 2))) (pow x 3))
(/ 16 (pow x 3))
(/ (+ 16 (* 32 (/ 1 x))) (pow x 3))
(* -1 (/ (- (* -1 (/ (- 32 (* 64 (/ 1 x))) x)) 16) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 32 (* -1 (/ (- 64 (* 128 (/ 1 x))) x))) x)) 16) (pow x 3)))
(* 1/4 x)
(* x (+ 1/4 (* -1/8 x)))
(* x (+ 1/4 (* x (- (* 5/64 x) 1/8))))
(* x (+ 1/4 (* x (- (* x (+ 5/64 (* -1/64 x))) 1/8))))
(* 1/256 (pow x 5))
(* (pow x 5) (- 1/256 (* 1/64 (/ 1 x))))
(* (pow x 5) (- (+ 1/256 (/ 5/64 (pow x 2))) (* 1/64 (/ 1 x))))
(* (pow x 5) (- (+ 1/256 (/ 5/64 (pow x 2))) (+ (* 1/64 (/ 1 x)) (* 1/8 (/ 1 (pow x 3))))))
(* 1/256 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/64 (/ 1 x)) 1/256)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* 5/64 (/ 1 x)) 1/64) x)) 1/256)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 x)) 5/64) x)) 1/64) x)) 1/256)))

Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/8 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 x #s(literal -5/128 binary64))))))))
(sqrt x)
(sqrt.f64 x)
(- (sqrt x) 1)
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
(- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)
(+.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))))
(- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))
(-.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (sqrt x))
(-.f64 #s(literal 0 binary64) (sqrt.f64 x))
(+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))
(-.f64 #s(literal -1 binary64) (sqrt.f64 x))
(+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))
(-.f64 (+.f64 (/.f64 (*.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 (-.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 x (.f64 x x))))) (+.f64 (.f64 x (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (.f64 #s(literal 1/2 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 (+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 x (.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) 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 (sqrt.f64 x) (+.f64 (/.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 x (.f64 x x))) #s(literal -1/2 binary64)) (/.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 (.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x (*.f64 x x)))) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) x)) x) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) x))
2
#s(literal 2 binary64)
(+ 2 (* 1/2 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(+ 2 (* x (+ 1/2 (* -1/8 x))))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64))
(+ 2 (* x (+ 1/2 (* 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 (.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))))))) #s(literal 1 binary64))
(* 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 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(.f64 (-.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))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(.f64 (-.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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)) (-.f64 #s(literal 0 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* -1/8 x))))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 1 binary64))
(sqrt x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
(.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
(.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(.f64 (-.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 0 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))))))
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(.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 #s(literal 16 binary64) (/.f64 (+.f64 #s(literal 32 binary64) (/.f64 #s(literal -64 binary64) x)) x)) (*.f64 x x))
(/ (+ 16 (+ (* -1 (/ (+ 64 (* 896 (/ 1 x))) (pow x 2))) (* 32 (/ 1 x)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 32 binary64) x) (-.f64 #s(literal 16 binary64) (/.f64 (+.f64 #s(literal 64 binary64) (/.f64 #s(literal 896 binary64) x)) (.f64 x x)))) (.f64 x x))
(/ 16 (pow x 2))
(/.f64 #s(literal 16 binary64) (*.f64 x x))
(/ (+ 16 (* 32 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 32 binary64) x) #s(literal 16 binary64)) (*.f64 x x))
(/ (+ 16 (* -1 (/ (- (* 64 (/ 1 x)) 32) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 16 binary64) (/.f64 (+.f64 #s(literal 32 binary64) (/.f64 #s(literal -64 binary64) x)) 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))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* x (- (* -1/64 (pow x 2)) 1/4))
(.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/64 binary64))))
(* x (- (* (pow x 2) (- (* 1/128 x) 1/64)) 1/4))
(.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/64 binary64) (.f64 x #s(literal 1/128 binary64))))))
(* x (- (* (pow x 2) (- (* x (+ 1/128 (* -3/512 x))) 1/64)) 1/4))
(.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/64 binary64) (.f64 x (+.f64 #s(literal 1/128 binary64) (*.f64 x #s(literal -3/512 binary64)))))))))
(/ 256 (pow x 5))
(/.f64 #s(literal 256 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 256 (* 1024 (/ 1 x))) (pow x 5))
(/.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 1024 binary64) x)) (pow.f64 x #s(literal 5 binary64)))
(/ (- (+ 256 (* 1024 (/ 1 x))) (/ 1024 (pow x 2))) (pow x 5))
(/.f64 (+.f64 #s(literal 256 binary64) (/.f64 (+.f64 #s(literal 1024 binary64) (/.f64 #s(literal -1024 binary64) x)) x)) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 256 (+ (* -1 (/ (+ 1024 (* 16384 (/ 1 x))) (pow x 2))) (* 1024 (/ 1 x)))) (pow x 5))
(/.f64 (+.f64 #s(literal 256 binary64) (-.f64 (/.f64 #s(literal 1024 binary64) x) (/.f64 (+.f64 #s(literal 1024 binary64) (/.f64 #s(literal 16384 binary64) x)) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64)))
(/ 256 (pow x 5))
(/.f64 #s(literal 256 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 256 (* 1024 (/ 1 x))) (pow x 5))
(/.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 1024 binary64) x)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (/ (- (* -1 (/ (- 1024 (* 1024 (/ 1 x))) x)) 256) (pow x 5)))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1024 binary64) (/.f64 #s(literal -1024 binary64) x)) (-.f64 #s(literal 0 binary64) x)) #s(literal -256 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 5 binary64))))
(* -1 (/ (- (* -1 (/ (+ 1024 (* -1 (/ (+ 1024 (* 16384 (/ 1 x))) x))) x)) 256) (pow x 5)))
(/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1024 binary64) (/.f64 (+.f64 #s(literal 1024 binary64) (/.f64 #s(literal 16384 binary64) x)) x)) (-.f64 #s(literal 0 binary64) x)) #s(literal -256 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 5 binary64))))
-4
#s(literal -4 binary64)
(- (* 1/4 (pow x 2)) 4)
(+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) #s(literal -4 binary64))
(- (* (pow x 2) (+ 1/4 (* -1/8 x))) 4)
(+.f64 (.f64 x (.f64 x (+.f64 (*.f64 x #s(literal -1/8 binary64)) #s(literal 1/4 binary64)))) #s(literal -4 binary64))
(- (* (pow x 2) (+ 1/4 (* x (- (* 5/64 x) 1/8)))) 4)
(+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 5/64 binary64)))))) #s(literal -4 binary64))
(* 1/256 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/256 binary64))
(* (pow x 6) (- 1/256 (* 1/64 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal -1/64 binary64) x)))
(* (pow x 6) (- (+ 1/256 (/ 5/64 (pow x 2))) (* 1/64 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/256 binary64) (/.f64 (+.f64 #s(literal -1/64 binary64) (/.f64 #s(literal 5/64 binary64) x)) x)))
(* (pow x 6) (- (+ 1/256 (/ 5/64 (pow x 2))) (+ (* 1/64 (/ 1 x)) (* 1/8 (/ 1 (pow x 3))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/256 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1/64 binary64) (/.f64 #s(literal 5/64 binary64) x)) x) (/.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x))))))
(* 1/256 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/256 binary64))
(* (pow x 6) (- 1/256 (* 1/64 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal -1/64 binary64) x)))
(* (pow x 6) (+ 1/256 (* -1 (/ (- 1/64 (* 5/64 (/ 1 x))) x))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/256 binary64) (/.f64 (+.f64 #s(literal 1/64 binary64) (/.f64 #s(literal -5/64 binary64) x)) x)))
(* (pow x 6) (+ 1/256 (* -1 (/ (+ 1/64 (* -1 (/ (- 5/64 (* 1/8 (/ 1 x))) x))) x))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/256 binary64) (/.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 (+.f64 #s(literal 5/64 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) x)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1/4
#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 (.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 (+.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))
(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))
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 x (.f64 x #s(literal 1/4 binary64)))
(* (pow x 2) (- 1/4 (/ 1 x)))
(.f64 x (.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x))))
(* (pow x 2) (- (+ 1/4 (/ 4 (pow x 2))) (/ 1 x)))
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x))))
(* (pow x 2) (- (+ 1/4 (/ 4 (pow x 2))) (/ 1 x)))
(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 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 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) 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)))
(* (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)))
-1/2
#s(literal -1/2 binary64)
(- (* -1/8 x) 1/2)
(+.f64 (*.f64 x #s(literal -1/8 binary64)) #s(literal -1/2 binary64))
(- (* x (- (* -1/128 (pow x 2)) 1/8)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/128 binary64)))))
(- (* x (- (* (pow x 2) (- (* -3/512 x) 1/128)) 1/8)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/128 binary64) (.f64 x #s(literal -3/512 binary64)))))))
(/ 16 (pow x 3))
(/.f64 #s(literal 16 binary64) (.f64 x (.f64 x x)))
(/ (+ 16 (* 32 (/ 1 x))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 32 binary64) x) #s(literal 16 binary64)) (.f64 x (.f64 x x)))
(/ (- (+ 16 (* 32 (/ 1 x))) (/ 64 (pow x 2))) (pow x 3))
(/.f64 (+.f64 #s(literal 16 binary64) (/.f64 (+.f64 #s(literal 32 binary64) (/.f64 #s(literal -64 binary64) x)) x)) (.f64 x (.f64 x x)))
(/ (- (+ 16 (+ (* 32 (/ 1 x)) (* 128 (/ 1 (pow x 3))))) (/ 64 (pow x 2))) (pow x 3))
(/.f64 (+.f64 #s(literal 16 binary64) (+.f64 (/.f64 #s(literal 128 binary64) (.f64 x (.f64 x x))) (/.f64 (+.f64 #s(literal 32 binary64) (/.f64 #s(literal -64 binary64) x)) x))) (.f64 x (.f64 x x)))
(/ 16 (pow x 3))
(/.f64 #s(literal 16 binary64) (.f64 x (.f64 x x)))
(/ (+ 16 (* 32 (/ 1 x))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 32 binary64) x) #s(literal 16 binary64)) (.f64 x (.f64 x x)))
(* -1 (/ (- (* -1 (/ (- 32 (* 64 (/ 1 x))) x)) 16) (pow x 3)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 32 binary64) (/.f64 #s(literal -64 binary64) x)) x)) #s(literal -16 binary64)) (.f64 x (.f64 x x))))
(* -1 (/ (- (* -1 (/ (+ 32 (* -1 (/ (- 64 (* 128 (/ 1 x))) x))) x)) 16) (pow x 3)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 32 binary64) (/.f64 (+.f64 #s(literal 64 binary64) (/.f64 #s(literal -128 binary64) x)) x)) (-.f64 #s(literal 0 binary64) x)) #s(literal -16 binary64)) (.f64 x (.f64 x x))))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
(* x (+ 1/4 (* -1/8 x)))
(.f64 x (+.f64 (.f64 x #s(literal -1/8 binary64)) #s(literal 1/4 binary64)))
(* x (+ 1/4 (* x (- (* 5/64 x) 1/8))))
(.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 5/64 binary64))))))
(* x (+ 1/4 (* x (- (* x (+ 5/64 (* -1/64 x))) 1/8))))
(.f64 x (+.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (+.f64 #s(literal 5/64 binary64) (.f64 x #s(literal -1/64 binary64))))))))
(* 1/256 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/256 binary64))
(* (pow x 5) (- 1/256 (* 1/64 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/256 binary64) (/.f64 #s(literal -1/64 binary64) x)))
(* (pow x 5) (- (+ 1/256 (/ 5/64 (pow x 2))) (* 1/64 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/256 binary64) (/.f64 (+.f64 #s(literal -1/64 binary64) (/.f64 #s(literal 5/64 binary64) x)) x)))
(* (pow x 5) (- (+ 1/256 (/ 5/64 (pow x 2))) (+ (* 1/64 (/ 1 x)) (* 1/8 (/ 1 (pow x 3))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/256 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1/64 binary64) (/.f64 #s(literal 5/64 binary64) x)) x) (/.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x))))))
(* 1/256 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/256 binary64))
(* -1 (* (pow x 5) (- (* 1/64 (/ 1 x)) 1/256)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) x) #s(literal -1/256 binary64)) #s(literal -1 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* 5/64 (/ 1 x)) 1/64) x)) 1/256)))
(.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/64 binary64) (/.f64 #s(literal -5/64 binary64) x)) x) #s(literal -1/256 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 5 binary64))))
(* -1 (* (pow x 5) (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 x)) 5/64) x)) 1/64) x)) 1/256)))
(.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 (+.f64 #s(literal 5/64 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) x) #s(literal -1/256 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 5 binary64))))

eval144.0ms (1.3%)

Compiler: Compiled 33228 to 3244 computations (90.2% saved)

prune184.0ms (1.7%)

Pruning

34 alts after pruning (24 fresh and 10 done)

	Pruned	Kept	Total
New	1050	11	1061
Fresh	6	13	19
Picked	3	2	5
Done	0	8	8
Total	1059	34	1093

Accuracy

100.0%

Counts

1093 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.6%	(/.f64 (/.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))))))
	68.2%	(/.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64)) x))
	68.0%	(/.f64 (.f64 (/.f64 x (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
	68.4%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))))
	67.8%	(/.f64 x (/.f64 #s(literal 1 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))))))
	67.6%	(/.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (.f64 x (.f64 x #s(literal -1/8 binary64))) #s(literal 2 binary64))))
	68.8%	(/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
✓	68.2%	(/.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)))
✓	67.6%	(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
✓	68.8%	(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
✓	99.8%	(/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64))))
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	38.2%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
	5.5%	(/.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))))
	67.8%	(/.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 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 4 binary64) x)))))
	25.1%	(/.f64 x (.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (-.f64 #s(literal 0 binary64) x)))))
✓	68.3%	(/.f64 x #s(literal 2 binary64))
	67.8%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))))
✓	33.0%	(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
	67.6%	(.f64 (/.f64 (.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (+.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)) #s(literal -16 binary64))) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)))
	68.4%	(*.f64 (/.f64 x (+.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x)) #s(literal -4 binary64))) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
	68.4%	(.f64 (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x))) #s(literal -4 binary64))) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
	67.9%	(.f64 (/.f64 x (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/128 binary64)))))))
	2.7%	(.f64 (/.f64 x (.f64 x (*.f64 x #s(literal 1/4 binary64)))) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
	5.3%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
	67.8%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64))) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -1 binary64)))))))
	67.6%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64))) x)
	68.8%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) x)
✓	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) x)
	67.2%	(.f64 (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/64 binary64) (.f64 x (+.f64 #s(literal 1/128 binary64) (.f64 x #s(literal -3/512 binary64))))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal -2 binary64)))))
✓	66.8%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
	34.1%	(sqrt.f64 x)
	38.2%	(neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))))
✓	4.8%	#s(literal 2 binary64)

Compiler

Compiled 1485 to 611 computations (58.9% saved)

regimes37.0ms (0.3%)

Counts

49 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)
(/.f64 x #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) x)
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) 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 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64))) x)
(.f64 (/.f64 x (.f64 x (*.f64 x #s(literal 1/4 binary64)))) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (.f64 x (.f64 x #s(literal -1/8 binary64))) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(.f64 (/.f64 x (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 2 binary64)))
(/.f64 x (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64)) x))
(*.f64 (/.f64 x (+.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x)) #s(literal -4 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 #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 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))))
(.f64 (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x))) #s(literal -4 binary64))) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))))
(.f64 (/.f64 x (+.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 (/.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 64 binary64) (.f64 x x))) x) x) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))))
(/.f64 x (.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (-.f64 #s(literal 0 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 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)) (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))))))
(/.f64 x (/.f64 #s(literal 1 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 (.f64 (/.f64 x (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))))
(/.f64 (/.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))))))
(.f64 (/.f64 (.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (+.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)) #s(literal -16 binary64))) (+.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 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 4 binary64) x)))))
(.f64 (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/64 binary64) (.f64 x (+.f64 #s(literal 1/128 binary64) (.f64 x #s(literal -3/512 binary64))))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal -2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64))) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -1 binary64)))))))
(.f64 (/.f64 x (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) #s(literal -4 binary64))) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal -2 binary64)))
(.f64 (/.f64 x (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/128 binary64)))))))
(.f64 (/.f64 x (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal -2 binary64)))))
(/.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) (/.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))))))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64))))
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))))

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

Calls

2 calls:

16.0ms	x
15.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	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)

regimes42.0ms (0.4%)

Counts

47 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)
(/.f64 x #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) x)
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) 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 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64))) x)
(.f64 (/.f64 x (.f64 x (*.f64 x #s(literal 1/4 binary64)))) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (.f64 x (.f64 x #s(literal -1/8 binary64))) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(.f64 (/.f64 x (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 2 binary64)))
(/.f64 x (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64)) x))
(*.f64 (/.f64 x (+.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x)) #s(literal -4 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 #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 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))))
(.f64 (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x))) #s(literal -4 binary64))) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))))
(.f64 (/.f64 x (+.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 (/.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 64 binary64) (.f64 x x))) x) x) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))))
(/.f64 x (.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (-.f64 #s(literal 0 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 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)) (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))))))
(/.f64 x (/.f64 #s(literal 1 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 (.f64 (/.f64 x (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))))
(/.f64 (/.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))))))
(.f64 (/.f64 (.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (+.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)) #s(literal -16 binary64))) (+.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 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 4 binary64) x)))))
(.f64 (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/64 binary64) (.f64 x (+.f64 #s(literal 1/128 binary64) (.f64 x #s(literal -3/512 binary64))))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal -2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64))) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -1 binary64)))))))
(.f64 (/.f64 x (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) #s(literal -4 binary64))) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal -2 binary64)))
(.f64 (/.f64 x (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/128 binary64)))))))
(.f64 (/.f64 x (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal -2 binary64)))))
(/.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) (/.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))))))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))) x)

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

Calls

2 calls:

19.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
17.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	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)

regimes32.0ms (0.3%)

Counts

45 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)
(/.f64 x #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) x)
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) 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 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64))) x)
(.f64 (/.f64 x (.f64 x (*.f64 x #s(literal 1/4 binary64)))) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (.f64 x (.f64 x #s(literal -1/8 binary64))) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(.f64 (/.f64 x (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 2 binary64)))
(/.f64 x (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64)) x))
(*.f64 (/.f64 x (+.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x)) #s(literal -4 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 #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 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))))
(.f64 (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x))) #s(literal -4 binary64))) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))))
(.f64 (/.f64 x (+.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 (/.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 64 binary64) (.f64 x x))) x) x) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))))
(/.f64 x (.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (-.f64 #s(literal 0 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 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)) (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))))))
(/.f64 x (/.f64 #s(literal 1 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 (.f64 (/.f64 x (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))))
(/.f64 (/.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))))))
(.f64 (/.f64 (.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (+.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)) #s(literal -16 binary64))) (+.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 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 4 binary64) x)))))
(.f64 (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/64 binary64) (.f64 x (+.f64 #s(literal 1/128 binary64) (.f64 x #s(literal -3/512 binary64))))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal -2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64))) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -1 binary64)))))))
(.f64 (/.f64 x (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) #s(literal -4 binary64))) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal -2 binary64)))
(.f64 (/.f64 x (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/128 binary64)))))))
(.f64 (/.f64 x (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal -2 binary64)))))
(/.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) (/.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))))))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

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

Calls

2 calls:

15.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
12.0ms	x

Results

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes54.0ms (0.5%)

Counts

44 → 2

Calls

Call 1

Inputs
#s(literal 2 binary64)
(/.f64 x #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) x)
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) 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 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64))) x)
(.f64 (/.f64 x (.f64 x (*.f64 x #s(literal 1/4 binary64)))) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (.f64 x (.f64 x #s(literal -1/8 binary64))) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(.f64 (/.f64 x (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 2 binary64)))
(/.f64 x (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64)) x))
(*.f64 (/.f64 x (+.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x)) #s(literal -4 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 #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 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))))
(.f64 (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x))) #s(literal -4 binary64))) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))))
(.f64 (/.f64 x (+.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 (/.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 64 binary64) (.f64 x x))) x) x) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))))
(/.f64 x (.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (-.f64 #s(literal 0 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 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)) (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))))))
(/.f64 x (/.f64 #s(literal 1 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 (.f64 (/.f64 x (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))))
(/.f64 (/.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))))))
(.f64 (/.f64 (.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (+.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)) #s(literal -16 binary64))) (+.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 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 4 binary64) x)))))
(.f64 (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/64 binary64) (.f64 x (+.f64 #s(literal 1/128 binary64) (.f64 x #s(literal -3/512 binary64))))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal -2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64))) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -1 binary64)))))))
(.f64 (/.f64 x (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) #s(literal -4 binary64))) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal -2 binary64)))
(.f64 (/.f64 x (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/128 binary64)))))))
(.f64 (/.f64 x (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal -2 binary64)))))
(/.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) (/.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))))))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))))

Outputs

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes20.0ms (0.2%)

Counts

43 → 2

Calls

Call 1

Inputs
#s(literal 2 binary64)
(/.f64 x #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) x)
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) 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 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64))) x)
(.f64 (/.f64 x (.f64 x (*.f64 x #s(literal 1/4 binary64)))) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (.f64 x (.f64 x #s(literal -1/8 binary64))) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(.f64 (/.f64 x (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 2 binary64)))
(/.f64 x (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64)) x))
(*.f64 (/.f64 x (+.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x)) #s(literal -4 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 #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 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))))
(.f64 (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x))) #s(literal -4 binary64))) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))))
(.f64 (/.f64 x (+.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 (/.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 64 binary64) (.f64 x x))) x) x) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))))
(/.f64 x (.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (-.f64 #s(literal 0 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 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)) (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))))))
(/.f64 x (/.f64 #s(literal 1 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 (.f64 (/.f64 x (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))))
(/.f64 (/.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))))))
(.f64 (/.f64 (.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (+.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)) #s(literal -16 binary64))) (+.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 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 4 binary64) x)))))
(.f64 (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/64 binary64) (.f64 x (+.f64 #s(literal 1/128 binary64) (.f64 x #s(literal -3/512 binary64))))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal -2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64))) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -1 binary64)))))))
(.f64 (/.f64 x (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) #s(literal -4 binary64))) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal -2 binary64)))
(.f64 (/.f64 x (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/128 binary64)))))))
(.f64 (/.f64 x (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal -2 binary64)))))
(/.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) (/.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))))))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))

Outputs

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
99.3%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes19.0ms (0.2%)

Counts

41 → 2

Calls

Call 1

Inputs
#s(literal 2 binary64)
(/.f64 x #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) x)
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) 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 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64))) x)
(.f64 (/.f64 x (.f64 x (*.f64 x #s(literal 1/4 binary64)))) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (.f64 x (.f64 x #s(literal -1/8 binary64))) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(.f64 (/.f64 x (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 2 binary64)))
(/.f64 x (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64)) x))
(*.f64 (/.f64 x (+.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x)) #s(literal -4 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 #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 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))))
(.f64 (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x))) #s(literal -4 binary64))) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))))
(.f64 (/.f64 x (+.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 (/.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 64 binary64) (.f64 x x))) x) x) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))))
(/.f64 x (.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (-.f64 #s(literal 0 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 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)) (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))))))
(/.f64 x (/.f64 #s(literal 1 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 (.f64 (/.f64 x (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))))
(/.f64 (/.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))))))
(.f64 (/.f64 (.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (+.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)) #s(literal -16 binary64))) (+.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 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 4 binary64) x)))))
(.f64 (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/64 binary64) (.f64 x (+.f64 #s(literal 1/128 binary64) (.f64 x #s(literal -3/512 binary64))))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal -2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64))) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -1 binary64)))))))
(.f64 (/.f64 x (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) #s(literal -4 binary64))) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal -2 binary64)))
(.f64 (/.f64 x (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/128 binary64)))))))
(.f64 (/.f64 x (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal -2 binary64)))))
(/.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) (/.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))))))))
(sqrt.f64 x)

Outputs

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

(sqrt.f64 x)

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
98.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes13.0ms (0.1%)

Counts

40 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)
(/.f64 x #s(literal 2 binary64))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) x)
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) 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 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64))) x)
(.f64 (/.f64 x (.f64 x (*.f64 x #s(literal 1/4 binary64)))) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (.f64 x (.f64 x #s(literal -1/8 binary64))) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(.f64 (/.f64 x (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 2 binary64)))
(/.f64 x (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64))) (-.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64)) x))
(*.f64 (/.f64 x (+.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x)) #s(literal -4 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 #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 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))))
(.f64 (/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x))) #s(literal -4 binary64))) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))))
(.f64 (/.f64 x (+.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 (/.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 64 binary64) (.f64 x x))) x) x) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))))
(/.f64 x (.f64 (.f64 x (*.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (-.f64 #s(literal 0 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 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)) (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))))))
(/.f64 x (/.f64 #s(literal 1 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 (.f64 (/.f64 x (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))))
(/.f64 (/.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))))))
(.f64 (/.f64 (.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (+.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 16 binary64)) #s(literal -16 binary64))) (+.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 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 4 binary64) x)))))
(.f64 (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/64 binary64) (.f64 x (+.f64 #s(literal 1/128 binary64) (.f64 x #s(literal -3/512 binary64))))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal -2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64))) (/.f64 x (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64))) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 x #s(literal -1 binary64)))))))
(.f64 (/.f64 x (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) #s(literal -4 binary64))) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal -2 binary64)))
(.f64 (/.f64 x (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/128 binary64)))))))
(.f64 (/.f64 x (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal -2 binary64)))))
(/.f64 x (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (/.f64 (-.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 2 binary64) (.f64 x x))) x) (/.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))))))))

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
68.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
68.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
68.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)

Outputs
#s(literal 2 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
4.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch9.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.0007701755220102468	0.0020801804064617536

Results

5.0ms

80×

valid

Compiler

Compiled 278 to 174 computations (37.4% saved)

Precisions

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

ival-div: 1.0ms (39.5% of total)

ival-add: 1.0ms (39.5% of total)

ival-sqrt: 1.0ms (39.5% of total)

const: 0.0ms (0% of total)

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

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.4234570723769268	4839817285.992566

Results

10.0ms

160×

valid

Compiler

Compiled 503 to 309 computations (38.6% saved)

Precisions

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

ival-add: 2.0ms (40.3% of total)

ival-div: 1.0ms (20.2% of total)

ival-sqrt: 1.0ms (20.2% of total)

const: 0.0ms (0% of total)

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

bsearch22.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	0.4234570723769268	4839817285.992566

Results

10.0ms

160×

valid

Compiler

Compiled 483 to 289 computations (40.2% saved)

Precisions

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

ival-add: 2.0ms (41.5% of total)

ival-div: 1.0ms (20.7% of total)

ival-sqrt: 1.0ms (20.7% of total)

const: 0.0ms (0% of total)

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

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	198
1	86	198
2	94	198
3	106	197
4	130	197
5	145	197
6	155	197
7	165	197
8	173	197

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 8070450532247929/4611686018427387904 binary64)) (.f64 (/.f64 x (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/128 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 2758454771764429/1125899906842624 binary64)) (.f64 (/.f64 x (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/128 binary64))))))) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(if (<=.f64 x #s(literal 5854679515581645/2251799813685248 binary64)) (.f64 (/.f64 x (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/128 binary64))))))) (sqrt.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) x)
(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
(/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) x)
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 8070450532247929/4611686018427387904 binary64)) (.f64 (/.f64 x (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/128 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 8070450532247929/4611686018427387904 binary64)) (.f64 (/.f64 x (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/128 binary64))))))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(if (<=.f64 x #s(literal 2758454771764429/1125899906842624 binary64)) (.f64 (/.f64 x (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/128 binary64))))))) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(if (<=.f64 x #s(literal 5854679515581645/2251799813685248 binary64)) (.f64 (/.f64 x (+.f64 (.f64 x (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64))))) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/16 binary64)))))))) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal -1/128 binary64))))))) (sqrt.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) x)
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))
(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

soundness4.6s (42.4%)

Rules

3884×	`-lowering-.f32`
3884×	`-lowering-.f64`
3578×	`/-lowering-/.f32`
3578×	`/-lowering-/.f64`
3540×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	338	1698
1	1077	1463
2	3633	1445
0	9030	1445
0	26	108
1	185	95
2	1512	95
0	8440	95
0	6	21
1	42	21
2	328	20
3	3669	20
0	8084	20
0	161	538
1	520	434
2	1993	412
3	7762	412
0	8435	412
0	567	2685
1	1851	2314
2	6085	2307
0	8406	2307

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 481 to 241 computations (49.9% saved)

preprocess57.0ms (0.5%)

Compiler: Compiled 414 to 124 computations (70% saved)

Iter	Nodes	Cost
0	57	198
1	86	198
2	94	198
3	106	197
4	130	197
5	145	197
6	155	197
7	165	197
8	173	197

Iter	Nodes	Cost
0	57	198
1	86	198
2	94	198
3	106	197
4	130	197
5	145	197
6	155	197
7	165	197
8	173	197

analyze2.0ms (0%)

sample994.0ms (9.1%)

preprocess36.0ms (0.3%)

explain100.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize49.0ms (0.5%)

series5.0ms (0%)

rewrite263.0ms (2.4%)

simplify292.0ms (2.7%)

eval47.0ms (0.4%)

prune42.0ms (0.4%)

simplify19.0ms (0.2%)

localize155.0ms (1.4%)

series13.0ms (0.1%)

rewrite375.0ms (3.4%)

simplify295.0ms (2.7%)

eval81.0ms (0.7%)

prune117.0ms (1.1%)

simplify200.0ms (1.8%)

localize223.0ms (2%)

series14.0ms (0.1%)

rewrite331.0ms (3%)

simplify274.0ms (2.5%)

eval117.0ms (1.1%)

prune151.0ms (1.4%)

simplify341.0ms (3.1%)

localize428.0ms (3.9%)

series21.0ms (0.2%)

rewrite355.0ms (3.3%)

simplify259.0ms (2.4%)

eval144.0ms (1.3%)

prune184.0ms (1.7%)

regimes37.0ms (0.3%)

regimes42.0ms (0.4%)

regimes32.0ms (0.3%)

regimes54.0ms (0.5%)

regimes20.0ms (0.2%)

regimes19.0ms (0.2%)

regimes13.0ms (0.1%)

regimes2.0ms (0%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

bsearch9.0ms (0.1%)

bsearch20.0ms (0.2%)

bsearch22.0ms (0.2%)

simplify14.0ms (0.1%)

soundness4.6s (42.4%)

preprocess57.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	57	198
1	86	198
2	94	198
3	106	197
4	130	197
5	145	197
6	155	197
7	165	197
8	173	197