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)

sample651.0ms (9.3%)

Results

477.0ms	8253×	0	valid
0.0ms	3×	2	valid
0.0ms	1×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 264.0ms

ival-add: 112.0ms (42.5% of total)

ival-sqrt: 76.0ms (28.8% of total)

ival-div: 63.0ms (23.9% of total)

const: 10.0ms (3.8% of total)

backward-pass: 3.0ms (1.1% of total)

Bogosity

preprocess60.0ms (0.9%)

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))))

explain77.0ms (1.1%)

FPErrors

Click to see full error table

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

Results

50.0ms

512×

valid

Compiler

Compiled 59 to 20 computations (66.1% saved)

Precisions

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

ival-add: 14.0ms (61.4% of total)

ival-div: 4.0ms (17.5% of total)

ival-sqrt: 4.0ms (17.5% of total)

const: 1.0ms (4.4% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify5.0ms (0.1%)

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))

localize26.0ms (0.4%)

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

17.0ms

256×

valid

Compiler

Compiled 25 to 7 computations (72% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-add: 4.0ms (45.7% of total)

ival-div: 2.0ms (22.8% of total)

ival-sqrt: 2.0ms (22.8% of total)

const: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Counts

4 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite296.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 250

Calls

Call 1

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

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

simplify291.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval35.0ms (0.5%)

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

prune64.0ms (0.9%)

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
	66.2%	(/.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)))
▶	65.7%	(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
▶	67.3%	(/.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)))))))
	67.3%	(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	39.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
▶	66.6%	(/.f64 x #s(literal 2 binary64))
	34.9%	(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
	65.1%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
▶	35.4%	(sqrt.f64 x)
	40.1%	(neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))))

Compiler

Compiled 199 to 144 computations (27.6% saved)

simplify26.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

48×	`fma-define`
44×	`fma-lowering-fma.f32`
44×	`fma-lowering-fma.f64`
36×	`+-lowering-+.f64`
36×	`+-lowering-+.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	96
1	41	92
2	62	92
3	80	92
4	86	92
0	86	92

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))) 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
(sqrt x)
x

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))) 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)
(sqrt x)
(sqrt.f64 x)
x

localize111.0ms (1.6%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal -1/8 binary64))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
✓	accuracy	85.5%	(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
✓	accuracy	100.0%	(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
✓	accuracy	100.0%	(/.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
✓	accuracy	99.9%	(/.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

52.0ms	167×	0	valid
33.0ms	89×	0	invalid

Compiler

Compiled 113 to 22 computations (80.5% saved)

Precisions

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

ival-div: 19.0ms (50.7% of total)

ival-add: 7.0ms (18.7% of total)

ival-sqrt: 6.0ms (16% of total)

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

const: 1.0ms (2.7% of total)

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

series11.0ms (0.2%)

Counts

15 → 180

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

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 (* -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 (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 (* -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)>

Calls

45 calls:

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

rewrite347.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3814×	`/-lowering-/.f32`
3814×	`/-lowering-/.f64`
3454×	`-lowering-.f32`
3454×	`-lowering-.f64`
1966×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	81
1	146	73
2	1134	73
0	8518	73

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 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))) 2))
(+ (* x (+ 1/2 (* x -1/8))) 2)
(* x (+ 1/2 (* x -1/8)))
(+ 1/2 (* x -1/8))
(sqrt x)
(/ 1 (+ x 1))
(* x -1/8)

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

simplify251.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

3736×	`-lowering-.f32`
3736×	`-lowering-.f64`
2606×	`+-lowering-+.f64`
2606×	`+-lowering-+.f32`
1104×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	317	1441
1	1007	1254
2	3315	1242
0	8769	1242

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

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 (* -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)))))
(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)
(* -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)

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

eval139.0ms (2%)

Compiler: Compiled 11536 to 1986 computations (82.8% saved)

prune82.0ms (1.2%)

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	646	13	659
Fresh	0	6	6
Picked	1	4	5
Done	0	1	1
Total	647	24	671

Accuracy

100.0%

Counts

671 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.1%	(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x))))
	66.1%	(/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) x)) (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))))))
	66.8%	(/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64))))))
	66.8%	(/.f64 x (-.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))))
▶	67.3%	(/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
	66.2%	(/.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)))
✓	65.7%	(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
✓	67.3%	(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
▶	67.3%	(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	39.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
	66.8%	(/.f64 x (.f64 (-.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal -2 binary64))))))
	66.1%	(/.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)))))
▶	32.9%	(/.f64 x (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
✓	66.6%	(/.f64 x #s(literal 2 binary64))
	67.1%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) x))
	65.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))) x))
	66.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
	34.9%	(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
	66.8%	(.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)))
	65.1%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
✓	35.4%	(sqrt.f64 x)
	40.1%	(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 554 to 374 computations (32.5% saved)

simplify253.0ms (3.6%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))
✓	cost-diff	0	(+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))
✓	cost-diff	0	(/.f64 (+.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)))
✓	cost-diff	0	(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x))))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	384	(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x))))
✓	cost-diff	384	(/.f64 x (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) x)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
✓	cost-diff	128	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
✓	cost-diff	128	(/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
✓	cost-diff	128	(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))

Rules

2550×	`-lowering-.f32`
2550×	`-lowering-.f64`
1976×	`+-lowering-+.f64`
1976×	`+-lowering-+.f32`
1778×	`fma-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	30	185
1	72	171
2	169	169
3	420	157
4	822	157
5	1315	154
6	2958	154
0	8482	154

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize120.0ms (1.7%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x))
✓	accuracy	100.0%	(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x))))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	78.0%	(/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)))
✓	accuracy	100.0%	(+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x))
✓	accuracy	99.2%	(/.f64 #s(literal 2 binary64) (*.f64 x x))
✓	accuracy	85.4%	(/.f64 x (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
✓	accuracy	68.1%	(.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x))))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
✓	accuracy	100.0%	(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))

Results

75.0ms	255×	0	valid
2.0ms	1×	5	exit

Compiler

Compiled 204 to 31 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-div: 19.0ms (44.6% of total)

ival-add: 12.0ms (28.2% of total)

ival-mult: 9.0ms (21.1% of total)

const: 1.0ms (2.3% of total)

ival-sub: 1.0ms (2.3% of total)

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

series10.0ms (0.1%)

Counts

20 → 240

Calls

Call 1

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

Outputs
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* x (- (* 1/32 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>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 1 x)))>
#<alt (* x (+ 1/2 (/ 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 (- (* 1/32 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 (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))>
#<alt (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -3/128 x))) 1/8))))>
#<alt (/ -8 x)>
#<alt (* -1 (/ (+ 8 (* 32 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 32 (* 256 (/ 1 x))) x)) 8) x)>
#<alt (/ (- (* -1 (/ (+ 256 (* 1536 (/ 1 x))) (pow x 2))) (+ 8 (* 32 (/ 1 x)))) x)>
#<alt (/ -8 x)>
#<alt (* -1 (/ (+ 8 (* 32 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 8 (+ (* 32 (/ 1 x)) (/ 256 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 8 (* -1 (/ (- (* -1 (/ (+ 256 (* 1536 (/ 1 x))) x)) 32) x))) x))>
#<alt 2>
#<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 (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 (/ 2 (pow x 2))>
#<alt (/ (+ 2 (* 1/2 x)) (pow x 2))>
#<alt (/ (+ 2 (* x (+ 1/2 (* -1/8 x)))) (pow x 2))>
#<alt (/ (+ 2 (* x (+ 1/2 (* -1/8 x)))) (pow x 2))>
#<alt -1/8>
#<alt (- (* 1/2 (/ 1 x)) 1/8)>
#<alt (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8)>
#<alt (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8)>
#<alt -1/8>
#<alt (- (* 1/2 (/ 1 x)) 1/8)>
#<alt (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8)>
#<alt (- (+ (* 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 (* 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 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 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 2 (pow x 2))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* -1/8 x)) x)>
#<alt (/ (+ 1/2 (* -1/8 x)) x)>
#<alt (/ (+ 1/2 (* -1/8 x)) x)>
#<alt -1/8>
#<alt (- (* 1/2 (/ 1 x)) 1/8)>
#<alt (- (* 1/2 (/ 1 x)) 1/8)>
#<alt (- (* 1/2 (/ 1 x)) 1/8)>
#<alt -1/8>
#<alt (- (* 1/2 (/ 1 x)) 1/8)>
#<alt (- (* 1/2 (/ 1 x)) 1/8)>
#<alt (- (* 1/2 (/ 1 x)) 1/8)>
#<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))))>

Calls

60 calls:

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

rewrite378.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3012×	`/-lowering-/.f32`
3012×	`/-lowering-/.f64`
2322×	`-lowering-.f32`
2322×	`-lowering-.f64`
2272×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	157
1	251	140
2	2475	132
0	8454	132

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 703

Calls

Call 1

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

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

simplify226.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

2514×	`-lowering-.f32`
2514×	`-lowering-.f64`
1694×	`fma-define`
1584×	`fma-lowering-fma.f32`
1584×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	147	1321
1	432	1207
2	1071	1185
3	2533	1170
4	7639	1170
0	8092	1170

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 (- (* 1/32 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
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(+ 1 (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* 1/2 x)
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 1 x)))
(* x (+ 1/2 (/ 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 (- (* 1/32 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)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -3/128 x))) 1/8))))
(/ -8 x)
(* -1 (/ (+ 8 (* 32 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 32 (* 256 (/ 1 x))) x)) 8) x)
(/ (- (* -1 (/ (+ 256 (* 1536 (/ 1 x))) (pow x 2))) (+ 8 (* 32 (/ 1 x)))) x)
(/ -8 x)
(* -1 (/ (+ 8 (* 32 (/ 1 x))) x))
(* -1 (/ (+ 8 (+ (* 32 (/ 1 x)) (/ 256 (pow x 2)))) x))
(* -1 (/ (+ 8 (* -1 (/ (- (* -1 (/ (+ 256 (* 1536 (/ 1 x))) x)) 32) x))) x))
2
(+ 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))
(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)
(/ 2 (pow x 2))
(/ (+ 2 (* 1/2 x)) (pow x 2))
(/ (+ 2 (* x (+ 1/2 (* -1/8 x)))) (pow x 2))
(/ (+ 2 (* x (+ 1/2 (* -1/8 x)))) (pow x 2))
-1/8
(- (* 1/2 (/ 1 x)) 1/8)
(- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8)
(- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8)
-1/8
(- (* 1/2 (/ 1 x)) 1/8)
(- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8)
(- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8)
(* 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))))
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 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 1/2 x)
(/ (+ 1/2 (* -1/8 x)) x)
(/ (+ 1/2 (* -1/8 x)) x)
(/ (+ 1/2 (* -1/8 x)) x)
-1/8
(- (* 1/2 (/ 1 x)) 1/8)
(- (* 1/2 (/ 1 x)) 1/8)
(- (* 1/2 (/ 1 x)) 1/8)
-1/8
(- (* 1/2 (/ 1 x)) 1/8)
(- (* 1/2 (/ 1 x)) 1/8)
(- (* 1/2 (/ 1 x)) 1/8)
(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))))

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

eval142.0ms (2%)

Compiler: Compiled 22285 to 2564 computations (88.5% saved)

prune124.0ms (1.8%)

Pruning

28 alts after pruning (21 fresh and 7 done)

	Pruned	Kept	Total
New	990	13	1003
Fresh	6	8	14
Picked	3	2	5
Done	0	5	5
Total	999	28	1027

Accuracy

100.0%

Counts

1027 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.1%	(/.f64 (/.f64 x (+.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))))
	65.5%	(/.f64 x (/.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) #s(literal 64 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))))))
	65.4%	(/.f64 x (/.f64 (+.f64 #s(literal 512 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 512 binary64)))) (.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)) (+.f64 #s(literal 64 binary64) (/.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))))))
▶	32.9%	(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 (+.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 x x)) (/.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (+.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (.f64 x x))))))
▶	5.4%	(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 (.f64 x x) #s(literal 1/4 binary64))))
	65.4%	(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) #s(literal 4 binary64)))
	66.1%	(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x))))
	65.6%	(/.f64 x (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)))) (/.f64 #s(literal 1 binary64) (-.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))))
	66.8%	(/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -4 binary64)))))
▶	67.3%	(/.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
	66.2%	(/.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)))
✓	65.7%	(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
✓	67.3%	(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
✓	67.3%	(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
	14.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	39.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
▶	33.9%	(/.f64 x (.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x)))
	34.0%	(/.f64 x (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))))
✓	66.6%	(/.f64 x #s(literal 2 binary64))
	67.1%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) x))
	65.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))) x))
▶	66.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
	34.9%	(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
	65.1%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
✓	35.4%	(sqrt.f64 x)
	40.1%	(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 834 to 489 computations (41.4% saved)

simplify195.0ms (2.8%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	512	(+.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 x x)) (/.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (+.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
✓	cost-diff	640	(/.f64 (+.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 x x)) (/.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (+.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (.f64 x x))))
✓	cost-diff	640	(/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 (+.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 x x)) (/.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (+.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (.f64 x x)))))
✓	cost-diff	640	(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 (+.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 x x)) (/.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (+.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (.f64 x x))))))
✓	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 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 (.f64 x x) #s(literal 1/4 binary64)))
✓	cost-diff	0	(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 (.f64 x x) #s(literal 1/4 binary64))))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	256	(.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
✓	cost-diff	384	(/.f64 x (.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x)))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) x)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	128	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	128	(+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
✓	cost-diff	128	(/.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))

Rules

3636×	`-lowering-.f32`
3636×	`-lowering-.f64`
1600×	`+-lowering-+.f64`
1600×	`+-lowering-+.f32`
1558×	`/-lowering-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	35	292
1	89	290
2	241	277
3	841	261
4	3044	238
5	7127	238
0	8105	238

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize171.0ms (2.4%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	86.4%	(.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (.f64 x x)))
✓	accuracy	84.5%	(.f64 (-.f64 #s(literal 16 binary64) (.f64 x x)) (/.f64 #s(literal 4 binary64) (*.f64 x x)))
✓	accuracy	78.0%	(/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 (+.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 x x)) (/.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (+.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (.f64 x x)))))
✓	accuracy	67.8%	(/.f64 (+.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 x x)) (/.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (+.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (.f64 x x))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 (.f64 x x) #s(literal 1/4 binary64))))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	77.9%	(/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 (.f64 x x) #s(literal 1/4 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(/.f64 x (.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x)))
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
✓	accuracy	53.5%	(.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
✓	accuracy	99.7%	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))

Results

88.0ms	255×	0	valid
2.0ms	1×	5	exit

Compiler

Compiled 337 to 36 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-div: 25.0ms (52% of total)

ival-mult: 12.0ms (24.9% of total)

ival-add: 8.0ms (16.6% of total)

const: 1.0ms (2.1% of total)

ival-sub: 1.0ms (2.1% of total)

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

series17.0ms (0.2%)

Counts

21 → 252

Calls

Call 1

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

Outputs
#<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 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 x)))>
#<alt (* x (+ 1/2 (* x (- (* 1/32 x) 1/8))))>
#<alt (* x (+ 1/2 (* x (- (* x (+ 1/32 (* -1/128 x))) 1/8))))>
#<alt 2>
#<alt (- 2 (* 8 (/ 1 x)))>
#<alt (- (+ 2 (/ 32 (pow x 2))) (* 8 (/ 1 x)))>
#<alt (- (+ 2 (/ 32 (pow x 2))) (+ (* 8 (/ 1 x)) (* 128 (/ 1 (pow x 3)))))>
#<alt 2>
#<alt (- 2 (* 8 (/ 1 x)))>
#<alt (+ 2 (* -1 (/ (- 8 (* 32 (/ 1 x))) x)))>
#<alt (+ 2 (* -1 (/ (+ 8 (* -1 (/ (- 32 (* 128 (/ 1 x))) x))) x)))>
#<alt 2>
#<alt (+ 2 (* 1/2 x))>
#<alt (+ 2 (* 1/2 x))>
#<alt (+ 2 (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 2 (/ 1 x))))>
#<alt (* x (+ 1/2 (* 2 (/ 1 x))))>
#<alt (* x (+ 1/2 (* 2 (/ 1 x))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 2 (/ 1 x))))>
#<alt (* x (+ 1/2 (* 2 (/ 1 x))))>
#<alt (* x (+ 1/2 (* 2 (/ 1 x))))>
#<alt (pow x 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 (/ 2 (pow x 2))>
#<alt (/ (+ 2 (* 1/2 x)) (pow x 2))>
#<alt (/ (+ 2 (* 1/2 x)) (pow x 2))>
#<alt (/ (+ 2 (* 1/2 x)) (pow x 2))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 2 (/ 1 x))) x)>
#<alt (/ (+ 1/2 (* 2 (/ 1 x))) x)>
#<alt (/ (+ 1/2 (* 2 (/ 1 x))) x)>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 2 (/ 1 x))) x)>
#<alt (/ (+ 1/2 (* 2 (/ 1 x))) x)>
#<alt (/ (+ 1/2 (* 2 (/ 1 x))) x)>
#<alt (* 1/32 (pow x 3))>
#<alt (* (pow x 3) (+ 1/32 (* -1/2048 (pow x 3))))>
#<alt (* (pow x 3) (+ 1/32 (* (pow x 3) (- (* 1/131072 (pow x 3)) 1/2048))))>
#<alt (* (pow x 3) (+ 1/32 (* (pow x 3) (- (* (pow x 3) (+ 1/131072 (* -1/8388608 (pow x 3)))) 1/2048))))>
#<alt 2>
#<alt (- 2 (* 128 (/ 1 (pow x 3))))>
#<alt (- (+ 2 (/ 8192 (pow x 6))) (* 128 (/ 1 (pow x 3))))>
#<alt (- (+ 2 (/ 8192 (pow x 6))) (+ (* 128 (/ 1 (pow x 3))) (* 524288 (/ 1 (pow x 9)))))>
#<alt 2>
#<alt (- 2 (* 128 (/ 1 (pow x 3))))>
#<alt (+ 2 (* -1 (/ (- 128 (* 8192 (/ 1 (pow x 3)))) (pow x 3))))>
#<alt (+ 2 (* -1 (/ (+ 128 (* -1 (/ (- 8192 (* 524288 (/ 1 (pow x 3)))) (pow x 3)))) (pow x 3))))>
#<alt (/ 32 (pow x 2))>
#<alt (/ (+ 32 (* 1/2 (pow x 3))) (pow x 2))>
#<alt (/ (+ 32 (* 1/2 (pow x 3))) (pow x 2))>
#<alt (/ (+ 32 (* 1/2 (pow x 3))) (pow x 2))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 32 (/ 1 (pow x 3)))))>
#<alt (* x (+ 1/2 (* 32 (/ 1 (pow x 3)))))>
#<alt (* x (+ 1/2 (* 32 (/ 1 (pow x 3)))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 32 (/ 1 (pow x 3)))))>
#<alt (* x (+ 1/2 (* 32 (/ 1 (pow x 3)))))>
#<alt (* x (+ 1/2 (* 32 (/ 1 (pow x 3)))))>
#<alt 8>
#<alt (+ 8 (* 1/8 (pow x 3)))>
#<alt (+ 8 (* 1/8 (pow x 3)))>
#<alt (+ 8 (* 1/8 (pow x 3)))>
#<alt (* 1/8 (pow x 3))>
#<alt (* (pow x 3) (+ 1/8 (* 8 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 1/8 (* 8 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 1/8 (* 8 (/ 1 (pow x 3)))))>
#<alt (* 1/8 (pow x 3))>
#<alt (* (pow x 3) (+ 1/8 (* 8 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 1/8 (* 8 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 1/8 (* 8 (/ 1 (pow x 3)))))>
#<alt (* 1/8 (pow x 3))>
#<alt (* 1/8 (pow x 3))>
#<alt (* 1/8 (pow x 3))>
#<alt (* 1/8 (pow x 3))>
#<alt (* 1/8 (pow x 3))>
#<alt (* 1/8 (pow x 3))>
#<alt (* 1/8 (pow x 3))>
#<alt (* 1/8 (pow x 3))>
#<alt (* 1/8 (pow x 3))>
#<alt (* 1/8 (pow x 3))>
#<alt (* 1/8 (pow x 3))>
#<alt (* 1/8 (pow x 3))>
#<alt (* 1/2 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 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 (/ 64 (pow x 2))>
#<alt (/ (+ 64 (pow x 3)) (pow x 2))>
#<alt (/ (+ 64 (pow x 3)) (pow x 2))>
#<alt (/ (+ 64 (pow x 3)) (pow x 2))>
#<alt x>
#<alt (* x (+ 1 (* 64 (/ 1 (pow x 3)))))>
#<alt (* x (+ 1 (* 64 (/ 1 (pow x 3)))))>
#<alt (* x (+ 1 (* 64 (/ 1 (pow x 3)))))>
#<alt x>
#<alt (* x (+ 1 (* 64 (/ 1 (pow x 3)))))>
#<alt (* x (+ 1 (* 64 (/ 1 (pow x 3)))))>
#<alt (* x (+ 1 (* 64 (/ 1 (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 3)>
#<alt (/ 64 (pow x 2))>
#<alt (/ (+ 64 (* -4 (pow x 2))) (pow x 2))>
#<alt (/ (+ 64 (* -4 (pow x 2))) (pow x 2))>
#<alt (/ (+ 64 (* -4 (pow x 2))) (pow x 2))>
#<alt -4>
#<alt (- (* 64 (/ 1 (pow x 2))) 4)>
#<alt (- (* 64 (/ 1 (pow x 2))) 4)>
#<alt (- (* 64 (/ 1 (pow x 2))) 4)>
#<alt -4>
#<alt (- (* 64 (/ 1 (pow x 2))) 4)>
#<alt (- (* 64 (/ 1 (pow x 2))) 4)>
#<alt (- (* 64 (/ 1 (pow x 2))) 4)>
#<alt (/ 16 (pow x 2))>
#<alt (/ (+ 16 (* 4 x)) (pow x 2))>
#<alt (/ (+ 16 (* 4 x)) (pow x 2))>
#<alt (/ (+ 16 (* 4 x)) (pow x 2))>
#<alt (/ 4 x)>
#<alt (/ (+ 4 (* 16 (/ 1 x))) x)>
#<alt (/ (+ 4 (* 16 (/ 1 x))) x)>
#<alt (/ (+ 4 (* 16 (/ 1 x))) x)>
#<alt (/ 4 x)>
#<alt (/ (+ 4 (* 16 (/ 1 x))) x)>
#<alt (/ (+ 4 (* 16 (/ 1 x))) x)>
#<alt (/ (+ 4 (* 16 (/ 1 x))) x)>

Calls

63 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(/ (+ (* (- 16 (* x x)) (/ 4 (* x x))) (* (+ x 4) 1)) (* (+ x 4) (/ 4 (* x x))))
2.0ms	x	@	0	(* (* x x) (/ (+ 1/2 (/ 2 x)) x))
1.0ms	x	@	0	(/ (+ 8 (/ (* x (* x x)) 8)) (/ (+ (* (- 16 (* x x)) (/ 4 (* x x))) (* (+ x 4) 1)) (* (+ x 4) (/ 4 (* x x)))))
1.0ms	x	@	inf	(/ (+ 8 (/ (* x (* x x)) 8)) (/ (+ (* (- 16 (* x x)) (/ 4 (* x x))) (* (+ x 4) 1)) (* (+ x 4) (/ 4 (* x x)))))
1.0ms	x	@	-inf	(/ (+ 8 (/ (* x (* x x)) 8)) (/ (+ (* (- 16 (* x x)) (/ 4 (* x x))) (* (+ x 4) 1)) (* (+ x 4) (/ 4 (* x x)))))

rewrite365.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3936×	`/-lowering-/.f32`
3936×	`/-lowering-/.f64`
2808×	`-lowering-.f32`
2808×	`-lowering-.f64`
1550×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	224
1	257	217
2	2402	199
0	8545	199

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 833

Calls

Call 1

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

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

simplify428.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

3906×	`-lowering-.f32`
3906×	`-lowering-.f64`
2508×	`+-lowering-+.f64`
2508×	`+-lowering-+.f32`
1570×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	165	1461
1	470	1374
2	1294	1339
3	4174	1334
0	8640	1334

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

Inputs
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* x (- (* 1/32 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 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 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)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* x (- (* 1/32 x) 1/8))))
(* x (+ 1/2 (* x (- (* x (+ 1/32 (* -1/128 x))) 1/8))))
2
(- 2 (* 8 (/ 1 x)))
(- (+ 2 (/ 32 (pow x 2))) (* 8 (/ 1 x)))
(- (+ 2 (/ 32 (pow x 2))) (+ (* 8 (/ 1 x)) (* 128 (/ 1 (pow x 3)))))
2
(- 2 (* 8 (/ 1 x)))
(+ 2 (* -1 (/ (- 8 (* 32 (/ 1 x))) x)))
(+ 2 (* -1 (/ (+ 8 (* -1 (/ (- 32 (* 128 (/ 1 x))) x))) x)))
2
(+ 2 (* 1/2 x))
(+ 2 (* 1/2 x))
(+ 2 (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (* 2 (/ 1 x))))
(* x (+ 1/2 (* 2 (/ 1 x))))
(* x (+ 1/2 (* 2 (/ 1 x))))
(* 1/2 x)
(* x (+ 1/2 (* 2 (/ 1 x))))
(* x (+ 1/2 (* 2 (/ 1 x))))
(* x (+ 1/2 (* 2 (/ 1 x))))
(pow x 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)
(/ 2 (pow x 2))
(/ (+ 2 (* 1/2 x)) (pow x 2))
(/ (+ 2 (* 1/2 x)) (pow x 2))
(/ (+ 2 (* 1/2 x)) (pow x 2))
(/ 1/2 x)
(/ (+ 1/2 (* 2 (/ 1 x))) x)
(/ (+ 1/2 (* 2 (/ 1 x))) x)
(/ (+ 1/2 (* 2 (/ 1 x))) x)
(/ 1/2 x)
(/ (+ 1/2 (* 2 (/ 1 x))) x)
(/ (+ 1/2 (* 2 (/ 1 x))) x)
(/ (+ 1/2 (* 2 (/ 1 x))) x)
(* 1/32 (pow x 3))
(* (pow x 3) (+ 1/32 (* -1/2048 (pow x 3))))
(* (pow x 3) (+ 1/32 (* (pow x 3) (- (* 1/131072 (pow x 3)) 1/2048))))
(* (pow x 3) (+ 1/32 (* (pow x 3) (- (* (pow x 3) (+ 1/131072 (* -1/8388608 (pow x 3)))) 1/2048))))
2
(- 2 (* 128 (/ 1 (pow x 3))))
(- (+ 2 (/ 8192 (pow x 6))) (* 128 (/ 1 (pow x 3))))
(- (+ 2 (/ 8192 (pow x 6))) (+ (* 128 (/ 1 (pow x 3))) (* 524288 (/ 1 (pow x 9)))))
2
(- 2 (* 128 (/ 1 (pow x 3))))
(+ 2 (* -1 (/ (- 128 (* 8192 (/ 1 (pow x 3)))) (pow x 3))))
(+ 2 (* -1 (/ (+ 128 (* -1 (/ (- 8192 (* 524288 (/ 1 (pow x 3)))) (pow x 3)))) (pow x 3))))
(/ 32 (pow x 2))
(/ (+ 32 (* 1/2 (pow x 3))) (pow x 2))
(/ (+ 32 (* 1/2 (pow x 3))) (pow x 2))
(/ (+ 32 (* 1/2 (pow x 3))) (pow x 2))
(* 1/2 x)
(* x (+ 1/2 (* 32 (/ 1 (pow x 3)))))
(* x (+ 1/2 (* 32 (/ 1 (pow x 3)))))
(* x (+ 1/2 (* 32 (/ 1 (pow x 3)))))
(* 1/2 x)
(* x (+ 1/2 (* 32 (/ 1 (pow x 3)))))
(* x (+ 1/2 (* 32 (/ 1 (pow x 3)))))
(* x (+ 1/2 (* 32 (/ 1 (pow x 3)))))
8
(+ 8 (* 1/8 (pow x 3)))
(+ 8 (* 1/8 (pow x 3)))
(+ 8 (* 1/8 (pow x 3)))
(* 1/8 (pow x 3))
(* (pow x 3) (+ 1/8 (* 8 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 1/8 (* 8 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 1/8 (* 8 (/ 1 (pow x 3)))))
(* 1/8 (pow x 3))
(* (pow x 3) (+ 1/8 (* 8 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 1/8 (* 8 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 1/8 (* 8 (/ 1 (pow x 3)))))
(* 1/8 (pow x 3))
(* 1/8 (pow x 3))
(* 1/8 (pow x 3))
(* 1/8 (pow x 3))
(* 1/8 (pow x 3))
(* 1/8 (pow x 3))
(* 1/8 (pow x 3))
(* 1/8 (pow x 3))
(* 1/8 (pow x 3))
(* 1/8 (pow x 3))
(* 1/8 (pow x 3))
(* 1/8 (pow x 3))
(* 1/2 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))))
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))))
(/ 64 (pow x 2))
(/ (+ 64 (pow x 3)) (pow x 2))
(/ (+ 64 (pow x 3)) (pow x 2))
(/ (+ 64 (pow x 3)) (pow x 2))
x
(* x (+ 1 (* 64 (/ 1 (pow x 3)))))
(* x (+ 1 (* 64 (/ 1 (pow x 3)))))
(* x (+ 1 (* 64 (/ 1 (pow x 3)))))
x
(* x (+ 1 (* 64 (/ 1 (pow x 3)))))
(* x (+ 1 (* 64 (/ 1 (pow x 3)))))
(* x (+ 1 (* 64 (/ 1 (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 3)
(/ 64 (pow x 2))
(/ (+ 64 (* -4 (pow x 2))) (pow x 2))
(/ (+ 64 (* -4 (pow x 2))) (pow x 2))
(/ (+ 64 (* -4 (pow x 2))) (pow x 2))
-4
(- (* 64 (/ 1 (pow x 2))) 4)
(- (* 64 (/ 1 (pow x 2))) 4)
(- (* 64 (/ 1 (pow x 2))) 4)
-4
(- (* 64 (/ 1 (pow x 2))) 4)
(- (* 64 (/ 1 (pow x 2))) 4)
(- (* 64 (/ 1 (pow x 2))) 4)
(/ 16 (pow x 2))
(/ (+ 16 (* 4 x)) (pow x 2))
(/ (+ 16 (* 4 x)) (pow x 2))
(/ (+ 16 (* 4 x)) (pow x 2))
(/ 4 x)
(/ (+ 4 (* 16 (/ 1 x))) x)
(/ (+ 4 (* 16 (/ 1 x))) x)
(/ (+ 4 (* 16 (/ 1 x))) x)
(/ 4 x)
(/ (+ 4 (* 16 (/ 1 x))) x)
(/ (+ 4 (* 16 (/ 1 x))) x)
(/ (+ 4 (* 16 (/ 1 x))) x)

Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/8 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(* x (+ 1/2 (* x (- (* 1/32 x) 1/8))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/32 binary64))))))
(* x (+ 1/2 (* x (- (* x (+ 1/32 (* -1/128 x))) 1/8))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (+.f64 #s(literal 1/32 binary64) (.f64 x #s(literal -1/128 binary64))))))))
2
#s(literal 2 binary64)
(- 2 (* 8 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -8 binary64) x))
(- (+ 2 (/ 32 (pow x 2))) (* 8 (/ 1 x)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -32 binary64) x)) x))
(- (+ 2 (/ 32 (pow x 2))) (+ (* 8 (/ 1 x)) (* 128 (/ 1 (pow x 3)))))
(+.f64 (/.f64 #s(literal -8 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 32 binary64) (/.f64 #s(literal -128 binary64) x)) x) x)))
2
#s(literal 2 binary64)
(- 2 (* 8 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -8 binary64) x))
(+ 2 (* -1 (/ (- 8 (* 32 (/ 1 x))) x)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -32 binary64) x)) x))
(+ 2 (* -1 (/ (+ 8 (* -1 (/ (- 32 (* 128 (/ 1 x))) x))) x)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 32 binary64) (/.f64 #s(literal -128 binary64) x)) x) #s(literal -8 binary64)) x))
2
#s(literal 2 binary64)
(+ 2 (* 1/2 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(+ 2 (* 1/2 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(+ 2 (* 1/2 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 2 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* x (+ 1/2 (* 2 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* x (+ 1/2 (* 2 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 2 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* x (+ 1/2 (* 2 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* x (+ 1/2 (* 2 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/8 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(* x (+ 1/2 (* x (- (* 1/32 x) 1/8))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/32 binary64))))))
(* x (+ 1/2 (* x (- (* x (+ 1/32 (* -1/128 x))) 1/8))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (+.f64 #s(literal 1/32 binary64) (.f64 x #s(literal -1/128 binary64))))))))
2
#s(literal 2 binary64)
(- 2 (* 8 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -8 binary64) x))
(- (+ 2 (/ 32 (pow x 2))) (* 8 (/ 1 x)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -32 binary64) x)) x))
(- (+ 2 (/ 32 (pow x 2))) (+ (* 8 (/ 1 x)) (* 128 (/ 1 (pow x 3)))))
(+.f64 (/.f64 #s(literal -8 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 32 binary64) (/.f64 #s(literal -128 binary64) x)) x) x)))
2
#s(literal 2 binary64)
(- 2 (* 8 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -8 binary64) x))
(+ 2 (* -1 (/ (- 8 (* 32 (/ 1 x))) x)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -32 binary64) x)) x))
(+ 2 (* -1 (/ (+ 8 (* -1 (/ (- 32 (* 128 (/ 1 x))) x))) x)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 32 binary64) (/.f64 #s(literal -128 binary64) x)) x) #s(literal -8 binary64)) x))
2
#s(literal 2 binary64)
(+ 2 (* 1/2 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(+ 2 (* 1/2 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(+ 2 (* 1/2 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 2 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* x (+ 1/2 (* 2 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* x (+ 1/2 (* 2 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 2 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* x (+ 1/2 (* 2 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* x (+ 1/2 (* 2 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(pow x 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)
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (* 1/2 x)) (pow x 2))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (.f64 x x))
(/ (+ 2 (* 1/2 x)) (pow x 2))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (.f64 x x))
(/ (+ 2 (* 1/2 x)) (pow x 2))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (.f64 x x))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ (+ 1/2 (* 2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ (+ 1/2 (* 2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ (+ 1/2 (* 2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ (+ 1/2 (* 2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(* 1/32 (pow x 3))
(.f64 x (.f64 #s(literal 1/32 binary64) (*.f64 x x)))
(* (pow x 3) (+ 1/32 (* -1/2048 (pow x 3))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/32 binary64) (.f64 x (.f64 x (.f64 x #s(literal -1/2048 binary64))))))
(* (pow x 3) (+ 1/32 (* (pow x 3) (- (* 1/131072 (pow x 3)) 1/2048))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/32 binary64) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/2048 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/131072 binary64)))))))
(* (pow x 3) (+ 1/32 (* (pow x 3) (- (* (pow x 3) (+ 1/131072 (* -1/8388608 (pow x 3)))) 1/2048))))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/32 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/2048 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1/131072 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -1/8388608 binary64)))))))))
2
#s(literal 2 binary64)
(- 2 (* 128 (/ 1 (pow x 3))))
(+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -128 binary64) x) (*.f64 x x)))
(- (+ 2 (/ 8192 (pow x 6))) (* 128 (/ 1 (pow x 3))))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8192 binary64) (.f64 x (.f64 x x))) #s(literal -128 binary64)) (.f64 x (.f64 x x))))
(- (+ 2 (/ 8192 (pow x 6))) (+ (* 128 (/ 1 (pow x 3))) (* 524288 (/ 1 (pow x 9)))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 8192 binary64) (.f64 x (.f64 x x))) #s(literal -128 binary64)) (.f64 x (.f64 x x))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -524288 binary64) (pow.f64 x #s(literal 9 binary64)))))
2
#s(literal 2 binary64)
(- 2 (* 128 (/ 1 (pow x 3))))
(+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -128 binary64) x) (*.f64 x x)))
(+ 2 (* -1 (/ (- 128 (* 8192 (/ 1 (pow x 3)))) (pow x 3))))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8192 binary64) (.f64 x (.f64 x x))) #s(literal -128 binary64)) (.f64 x (.f64 x x))))
(+ 2 (* -1 (/ (+ 128 (* -1 (/ (- 8192 (* 524288 (/ 1 (pow x 3)))) (pow x 3)))) (pow x 3))))
(-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 128 binary64) (/.f64 (+.f64 #s(literal 8192 binary64) (/.f64 #s(literal -524288 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))))
(/ 32 (pow x 2))
(/.f64 #s(literal 32 binary64) (*.f64 x x))
(/ (+ 32 (* 1/2 (pow x 3))) (pow x 2))
(/.f64 (+.f64 #s(literal 32 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))) (.f64 x x))
(/ (+ 32 (* 1/2 (pow x 3))) (pow x 2))
(/.f64 (+.f64 #s(literal 32 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))) (.f64 x x))
(/ (+ 32 (* 1/2 (pow x 3))) (pow x 2))
(/.f64 (+.f64 #s(literal 32 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))) (.f64 x x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 32 (/ 1 (pow x 3)))))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 32 binary64) (.f64 x x)))
(* x (+ 1/2 (* 32 (/ 1 (pow x 3)))))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 32 binary64) (.f64 x x)))
(* x (+ 1/2 (* 32 (/ 1 (pow x 3)))))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 32 binary64) (.f64 x x)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 32 (/ 1 (pow x 3)))))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 32 binary64) (.f64 x x)))
(* x (+ 1/2 (* 32 (/ 1 (pow x 3)))))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 32 binary64) (.f64 x x)))
(* x (+ 1/2 (* 32 (/ 1 (pow x 3)))))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 32 binary64) (.f64 x x)))
8
#s(literal 8 binary64)
(+ 8 (* 1/8 (pow x 3)))
(+.f64 #s(literal 8 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x))))
(+ 8 (* 1/8 (pow x 3)))
(+.f64 #s(literal 8 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x))))
(+ 8 (* 1/8 (pow x 3)))
(+.f64 #s(literal 8 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x))))
(* 1/8 (pow x 3))
(.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/8 (* 8 (/ 1 (pow x 3)))))
(+.f64 #s(literal 8 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x))))
(* (pow x 3) (+ 1/8 (* 8 (/ 1 (pow x 3)))))
(+.f64 #s(literal 8 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x))))
(* (pow x 3) (+ 1/8 (* 8 (/ 1 (pow x 3)))))
(+.f64 #s(literal 8 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x))))
(* 1/8 (pow x 3))
(.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/8 (* 8 (/ 1 (pow x 3)))))
(+.f64 #s(literal 8 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x))))
(* (pow x 3) (+ 1/8 (* 8 (/ 1 (pow x 3)))))
(+.f64 #s(literal 8 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x))))
(* (pow x 3) (+ 1/8 (* 8 (/ 1 (pow x 3)))))
(+.f64 #s(literal 8 binary64) (.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x))))
(* 1/8 (pow x 3))
(.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)))
(* 1/8 (pow x 3))
(.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)))
(* 1/8 (pow x 3))
(.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)))
(* 1/8 (pow x 3))
(.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)))
(* 1/8 (pow x 3))
(.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)))
(* 1/8 (pow x 3))
(.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)))
(* 1/8 (pow x 3))
(.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)))
(* 1/8 (pow x 3))
(.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)))
(* 1/8 (pow x 3))
(.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)))
(* 1/8 (pow x 3))
(.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)))
(* 1/8 (pow x 3))
(.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)))
(* 1/8 (pow x 3))
(.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x)))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/8 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(* x (+ 1/2 (* x (- (* 1/32 x) 1/8))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/32 binary64))))))
(* x (+ 1/2 (* x (- (* x (+ 1/32 (* -1/128 x))) 1/8))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (+.f64 #s(literal 1/32 binary64) (.f64 x #s(literal -1/128 binary64))))))))
2
#s(literal 2 binary64)
(- 2 (* 8 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -8 binary64) x))
(- (+ 2 (/ 32 (pow x 2))) (* 8 (/ 1 x)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -32 binary64) x)) x))
(- (+ 2 (/ 32 (pow x 2))) (+ (* 8 (/ 1 x)) (* 128 (/ 1 (pow x 3)))))
(+.f64 (/.f64 #s(literal -8 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 32 binary64) (/.f64 #s(literal -128 binary64) x)) x) x)))
2
#s(literal 2 binary64)
(- 2 (* 8 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -8 binary64) x))
(+ 2 (* -1 (/ (- 8 (* 32 (/ 1 x))) x)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -32 binary64) x)) x))
(+ 2 (* -1 (/ (+ 8 (* -1 (/ (- 32 (* 128 (/ 1 x))) x))) x)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 32 binary64) (/.f64 #s(literal -128 binary64) x)) x) #s(literal -8 binary64)) x))
2
#s(literal 2 binary64)
(+ 2 (* 1/2 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(+ 2 (* 1/2 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(+ 2 (* 1/2 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 2 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* x (+ 1/2 (* 2 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* x (+ 1/2 (* 2 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 2 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* x (+ 1/2 (* 2 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* x (+ 1/2 (* 2 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
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 #s(literal -1 binary64) (.f64 x #s(literal 1/4 binary64))))
(* (pow x 2) (- (+ 1/4 (/ 4 (pow x 2))) (/ 1 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 (/ 4 (pow x 2))) (/ 1 x)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) x)) x)))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* (pow x 2) (- 1/4 (/ 1 x)))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/4 binary64))))
(* (pow x 2) (+ 1/4 (* -1 (/ (- 1 (* 4 (/ 1 x))) x))))
(.f64 (.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)))
(/ 64 (pow x 2))
(/.f64 #s(literal 64 binary64) (*.f64 x x))
(/ (+ 64 (pow x 3)) (pow x 2))
(/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) (*.f64 x x))
(/ (+ 64 (pow x 3)) (pow x 2))
(/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) (*.f64 x x))
(/ (+ 64 (pow x 3)) (pow x 2))
(/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) (*.f64 x x))
x
(* x (+ 1 (* 64 (/ 1 (pow x 3)))))
(+.f64 x (/.f64 #s(literal 64 binary64) (*.f64 x x)))
(* x (+ 1 (* 64 (/ 1 (pow x 3)))))
(+.f64 x (/.f64 #s(literal 64 binary64) (*.f64 x x)))
(* x (+ 1 (* 64 (/ 1 (pow x 3)))))
(+.f64 x (/.f64 #s(literal 64 binary64) (*.f64 x x)))
x
(* x (+ 1 (* 64 (/ 1 (pow x 3)))))
(+.f64 x (/.f64 #s(literal 64 binary64) (*.f64 x x)))
(* x (+ 1 (* 64 (/ 1 (pow x 3)))))
(+.f64 x (/.f64 #s(literal 64 binary64) (*.f64 x x)))
(* x (+ 1 (* 64 (/ 1 (pow x 3)))))
(+.f64 x (/.f64 #s(literal 64 binary64) (*.f64 x x)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(/ 64 (pow x 2))
(/.f64 #s(literal 64 binary64) (*.f64 x x))
(/ (+ 64 (* -4 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 64 binary64) (.f64 x (.f64 x #s(literal -4 binary64)))) (*.f64 x x))
(/ (+ 64 (* -4 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 64 binary64) (.f64 x (.f64 x #s(literal -4 binary64)))) (*.f64 x x))
(/ (+ 64 (* -4 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 64 binary64) (.f64 x (.f64 x #s(literal -4 binary64)))) (*.f64 x x))
-4
#s(literal -4 binary64)
(- (* 64 (/ 1 (pow x 2))) 4)
(+.f64 #s(literal -4 binary64) (/.f64 #s(literal 64 binary64) (*.f64 x x)))
(- (* 64 (/ 1 (pow x 2))) 4)
(+.f64 #s(literal -4 binary64) (/.f64 #s(literal 64 binary64) (*.f64 x x)))
(- (* 64 (/ 1 (pow x 2))) 4)
(+.f64 #s(literal -4 binary64) (/.f64 #s(literal 64 binary64) (*.f64 x x)))
-4
#s(literal -4 binary64)
(- (* 64 (/ 1 (pow x 2))) 4)
(+.f64 #s(literal -4 binary64) (/.f64 #s(literal 64 binary64) (*.f64 x x)))
(- (* 64 (/ 1 (pow x 2))) 4)
(+.f64 #s(literal -4 binary64) (/.f64 #s(literal 64 binary64) (*.f64 x x)))
(- (* 64 (/ 1 (pow x 2))) 4)
(+.f64 #s(literal -4 binary64) (/.f64 #s(literal 64 binary64) (*.f64 x x)))
(/ 16 (pow x 2))
(/.f64 #s(literal 16 binary64) (*.f64 x x))
(/ (+ 16 (* 4 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 16 binary64) (.f64 x #s(literal 4 binary64))) (.f64 x x))
(/ (+ 16 (* 4 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 16 binary64) (.f64 x #s(literal 4 binary64))) (.f64 x x))
(/ (+ 16 (* 4 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 16 binary64) (.f64 x #s(literal 4 binary64))) (.f64 x x))
(/ 4 x)
(/.f64 #s(literal 4 binary64) x)
(/ (+ 4 (* 16 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 16 binary64) x)) x)
(/ (+ 4 (* 16 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 16 binary64) x)) x)
(/ (+ 4 (* 16 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 16 binary64) x)) x)
(/ 4 x)
(/.f64 #s(literal 4 binary64) x)
(/ (+ 4 (* 16 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 16 binary64) x)) x)
(/ (+ 4 (* 16 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 16 binary64) x)) x)
(/ (+ 4 (* 16 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 16 binary64) x)) x)

eval196.0ms (2.8%)

Compiler: Compiled 42168 to 4099 computations (90.3% saved)

prune250.0ms (3.6%)

Pruning

35 alts after pruning (26 fresh and 9 done)

	Pruned	Kept	Total
New	1415	18	1433
Fresh	8	8	16
Picked	3	2	5
Done	0	7	7
Total	1426	35	1461

Accuracy

100.0%

Counts

1461 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.1%	(/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x x))
	32.7%	(/.f64 (/.f64 x (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (/.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 (.f64 x x) #s(literal 4 binary64))) (+.f64 (.f64 (-.f64 (/.f64 #s(literal 16 binary64) x) x) (/.f64 #s(literal 4 binary64) x)) (+.f64 x #s(literal 4 binary64)))))
	5.4%	(/.f64 (/.f64 x (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (/.f64 #s(literal 4 binary64) (*.f64 x x)))
	4.8%	(/.f64 x (/.f64 (-.f64 #s(literal 64 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64))) (.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 8 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))))))
	5.4%	(/.f64 x (/.f64 (+.f64 #s(literal 32 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))) (.f64 x x)))
	32.6%	(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 (/.f64 (+.f64 (.f64 (+.f64 (.f64 x x) #s(literal -16 binary64)) (.f64 x x)) (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 (-.f64 #s(literal 16 binary64) (.f64 x x)) #s(literal 4 binary64)))) (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 x x))) (.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (.f64 x x))))))
	32.7%	(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) (.f64 x x)) (.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 x x))))))
	32.9%	(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 (+.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 x x)) (/.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (+.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))) (-.f64 (+.f64 (.f64 x x) #s(literal 16 binary64)) (.f64 x #s(literal 4 binary64)))))))
	4.9%	(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 x (.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (.f64 x x))))))
	32.7%	(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (-.f64 (/.f64 #s(literal 16 binary64) x) x) (/.f64 #s(literal 4 binary64) x)) (+.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 (*.f64 x x) #s(literal 4 binary64))))))))
	65.4%	(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) #s(literal 4 binary64)))
	5.4%	(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (.f64 (.f64 x x) #s(literal 1/4 binary64))))
	4.9%	(/.f64 x (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) (.f64 (.f64 x x) #s(literal 1/4 binary64))))
	4.7%	(/.f64 x (/.f64 (.f64 (+.f64 #s(literal 512 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 512 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64 binary64) (/.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))))) (.f64 (*.f64 x x) #s(literal 1/4 binary64))))
	66.8%	(/.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 x x))) #s(literal 2 binary64)))
✓	67.3%	(/.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
	66.8%	(/.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 2 binary64)))
	66.2%	(/.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)))
✓	65.7%	(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
✓	67.3%	(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
✓	67.3%	(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
	14.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
✓	99.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	39.7%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
	3.9%	(/.f64 x (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) x)))
✓	66.6%	(/.f64 x #s(literal 2 binary64))
	67.1%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x))
	65.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))) x))
✓	66.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
	34.9%	(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
	37.7%	(*.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) x))
	65.1%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
✓	35.4%	(sqrt.f64 x)
	40.1%	(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 1696 to 607 computations (64.2% saved)

regimes39.0ms (0.6%)

Counts

56 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)
(/.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x))
(/.f64 x (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(/.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(*.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
(/.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 x x))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))) x))
(/.f64 x (.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x)))
(/.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 2 binary64)))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) #s(literal 4 binary64)))
(/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x 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 x) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 2 binary64)))
(/.f64 x (/.f64 (+.f64 #s(literal 32 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))) (.f64 x x)))
(/.f64 x (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 x (.f64 (-.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal -2 binary64))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.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 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 (.f64 x x) #s(literal 1/4 binary64))))
(/.f64 (/.f64 x (+.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 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (.f64 (.f64 x x) #s(literal 1/4 binary64))))
(/.f64 x (-.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (/.f64 #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 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x))))
(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #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 #s(literal 4 binary64) (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) x)) (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 x (.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (.f64 x x))))))
(/.f64 (/.f64 x (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) (.f64 x x)) (.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 x x))))))
(/.f64 x (/.f64 (-.f64 #s(literal 64 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64))) (.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 8 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))))))
(/.f64 x (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) (.f64 (.f64 x x) #s(literal 1/4 binary64))))
(/.f64 (/.f64 x (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (/.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 (.f64 x x) #s(literal 4 binary64))) (+.f64 (.f64 (-.f64 (/.f64 #s(literal 16 binary64) x) x) (/.f64 #s(literal 4 binary64) x)) (+.f64 x #s(literal 4 binary64)))))
(/.f64 x (/.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) #s(literal 64 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 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 (+.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 x x)) (/.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (+.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (.f64 x x))))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (-.f64 (/.f64 #s(literal 16 binary64) x) x) (/.f64 #s(literal 4 binary64) x)) (+.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 (*.f64 x x) #s(literal 4 binary64))))))))
(/.f64 x (/.f64 (.f64 (+.f64 #s(literal 512 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 512 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64 binary64) (/.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))))) (.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 (/.f64 (+.f64 (.f64 (+.f64 (.f64 x x) #s(literal -16 binary64)) (.f64 x x)) (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 (-.f64 #s(literal 16 binary64) (.f64 x x)) #s(literal 4 binary64)))) (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 x x))) (.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (.f64 x x))))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 (+.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 x x)) (/.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (+.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))) (-.f64 (+.f64 (.f64 x x) #s(literal 16 binary64)) (.f64 x #s(literal 4 binary64)))))))
(/.f64 x (/.f64 (+.f64 #s(literal 512 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 512 binary64)))) (.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)) (+.f64 #s(literal 64 binary64) (/.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))))))
(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 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) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))))

Calls

2 calls:

18.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
14.0ms	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)

regimes215.0ms (3.1%)

Counts

55 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)
(/.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x))
(/.f64 x (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(/.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(*.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
(/.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 x x))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))) x))
(/.f64 x (.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x)))
(/.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 2 binary64)))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) #s(literal 4 binary64)))
(/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x 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 x) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 2 binary64)))
(/.f64 x (/.f64 (+.f64 #s(literal 32 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))) (.f64 x x)))
(/.f64 x (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 x (.f64 (-.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal -2 binary64))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.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 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 (.f64 x x) #s(literal 1/4 binary64))))
(/.f64 (/.f64 x (+.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 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (.f64 (.f64 x x) #s(literal 1/4 binary64))))
(/.f64 x (-.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (/.f64 #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 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x))))
(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #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 #s(literal 4 binary64) (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) x)) (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 x (.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (.f64 x x))))))
(/.f64 (/.f64 x (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) (.f64 x x)) (.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 x x))))))
(/.f64 x (/.f64 (-.f64 #s(literal 64 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64))) (.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 8 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))))))
(/.f64 x (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) (.f64 (.f64 x x) #s(literal 1/4 binary64))))
(/.f64 (/.f64 x (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (/.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 (.f64 x x) #s(literal 4 binary64))) (+.f64 (.f64 (-.f64 (/.f64 #s(literal 16 binary64) x) x) (/.f64 #s(literal 4 binary64) x)) (+.f64 x #s(literal 4 binary64)))))
(/.f64 x (/.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) #s(literal 64 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 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 (+.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 x x)) (/.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (+.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (.f64 x x))))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (-.f64 (/.f64 #s(literal 16 binary64) x) x) (/.f64 #s(literal 4 binary64) x)) (+.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 (*.f64 x x) #s(literal 4 binary64))))))))
(/.f64 x (/.f64 (.f64 (+.f64 #s(literal 512 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 512 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64 binary64) (/.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))))) (.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 (/.f64 (+.f64 (.f64 (+.f64 (.f64 x x) #s(literal -16 binary64)) (.f64 x x)) (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 (-.f64 #s(literal 16 binary64) (.f64 x x)) #s(literal 4 binary64)))) (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 x x))) (.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (.f64 x x))))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 (+.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 x x)) (/.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (+.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))) (-.f64 (+.f64 (.f64 x x) #s(literal 16 binary64)) (.f64 x #s(literal 4 binary64)))))))
(/.f64 x (/.f64 (+.f64 #s(literal 512 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 512 binary64)))) (.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)) (+.f64 #s(literal 64 binary64) (/.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))))))
(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:

163.0ms	x
14.0ms	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes46.0ms (0.7%)

Counts

54 → 2

Calls

Call 1

Inputs
#s(literal 2 binary64)
(/.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x))
(/.f64 x (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(/.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(*.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
(/.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 x x))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))) x))
(/.f64 x (.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x)))
(/.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 2 binary64)))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) #s(literal 4 binary64)))
(/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x 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 x) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 2 binary64)))
(/.f64 x (/.f64 (+.f64 #s(literal 32 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))) (.f64 x x)))
(/.f64 x (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 x (.f64 (-.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal -2 binary64))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.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 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 (.f64 x x) #s(literal 1/4 binary64))))
(/.f64 (/.f64 x (+.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 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (.f64 (.f64 x x) #s(literal 1/4 binary64))))
(/.f64 x (-.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (/.f64 #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 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x))))
(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #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 #s(literal 4 binary64) (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) x)) (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 x (.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (.f64 x x))))))
(/.f64 (/.f64 x (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) (.f64 x x)) (.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 x x))))))
(/.f64 x (/.f64 (-.f64 #s(literal 64 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64))) (.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 8 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))))))
(/.f64 x (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) (.f64 (.f64 x x) #s(literal 1/4 binary64))))
(/.f64 (/.f64 x (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (/.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 (.f64 x x) #s(literal 4 binary64))) (+.f64 (.f64 (-.f64 (/.f64 #s(literal 16 binary64) x) x) (/.f64 #s(literal 4 binary64) x)) (+.f64 x #s(literal 4 binary64)))))
(/.f64 x (/.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) #s(literal 64 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 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 (+.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 x x)) (/.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (+.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (.f64 x x))))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (-.f64 (/.f64 #s(literal 16 binary64) x) x) (/.f64 #s(literal 4 binary64) x)) (+.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 (*.f64 x x) #s(literal 4 binary64))))))))
(/.f64 x (/.f64 (.f64 (+.f64 #s(literal 512 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 512 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64 binary64) (/.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))))) (.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 (/.f64 (+.f64 (.f64 (+.f64 (.f64 x x) #s(literal -16 binary64)) (.f64 x x)) (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 (-.f64 #s(literal 16 binary64) (.f64 x x)) #s(literal 4 binary64)))) (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 x x))) (.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (.f64 x x))))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 (+.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 x x)) (/.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (+.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))) (-.f64 (+.f64 (.f64 x x) #s(literal 16 binary64)) (.f64 x #s(literal 4 binary64)))))))
(/.f64 x (/.f64 (+.f64 #s(literal 512 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 512 binary64)))) (.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)) (+.f64 #s(literal 64 binary64) (/.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))))

Outputs

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

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

Calls

1 calls:

40.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes24.0ms (0.3%)

Counts

53 → 2

Calls

Call 1

Inputs
#s(literal 2 binary64)
(/.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x))
(/.f64 x (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(/.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(*.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
(/.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 x x))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))) x))
(/.f64 x (.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x)))
(/.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 2 binary64)))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) #s(literal 4 binary64)))
(/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x 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 x) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 2 binary64)))
(/.f64 x (/.f64 (+.f64 #s(literal 32 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))) (.f64 x x)))
(/.f64 x (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 x (.f64 (-.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal -2 binary64))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.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 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 (.f64 x x) #s(literal 1/4 binary64))))
(/.f64 (/.f64 x (+.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 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (.f64 (.f64 x x) #s(literal 1/4 binary64))))
(/.f64 x (-.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (/.f64 #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 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x))))
(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #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 #s(literal 4 binary64) (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) x)) (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 x (.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (.f64 x x))))))
(/.f64 (/.f64 x (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) (.f64 x x)) (.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 x x))))))
(/.f64 x (/.f64 (-.f64 #s(literal 64 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64))) (.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 8 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))))))
(/.f64 x (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) (.f64 (.f64 x x) #s(literal 1/4 binary64))))
(/.f64 (/.f64 x (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (/.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 (.f64 x x) #s(literal 4 binary64))) (+.f64 (.f64 (-.f64 (/.f64 #s(literal 16 binary64) x) x) (/.f64 #s(literal 4 binary64) x)) (+.f64 x #s(literal 4 binary64)))))
(/.f64 x (/.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) #s(literal 64 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 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 (+.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 x x)) (/.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (+.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (.f64 x x))))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (-.f64 (/.f64 #s(literal 16 binary64) x) x) (/.f64 #s(literal 4 binary64) x)) (+.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 (*.f64 x x) #s(literal 4 binary64))))))))
(/.f64 x (/.f64 (.f64 (+.f64 #s(literal 512 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 512 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64 binary64) (/.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))))) (.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 (/.f64 (+.f64 (.f64 (+.f64 (.f64 x x) #s(literal -16 binary64)) (.f64 x x)) (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 (-.f64 #s(literal 16 binary64) (.f64 x x)) #s(literal 4 binary64)))) (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 x x))) (.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (.f64 x x))))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 (+.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 x x)) (/.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (+.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))) (-.f64 (+.f64 (.f64 x x) #s(literal 16 binary64)) (.f64 x #s(literal 4 binary64)))))))
(/.f64 x (/.f64 (+.f64 #s(literal 512 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 512 binary64)))) (.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)) (+.f64 #s(literal 64 binary64) (/.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))

Outputs

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

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
99.2%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes21.0ms (0.3%)

Counts

51 → 2

Calls

Call 1

Inputs
#s(literal 2 binary64)
(/.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x))
(/.f64 x (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(/.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(*.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
(/.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 x x))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))) x))
(/.f64 x (.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x)))
(/.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 2 binary64)))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) #s(literal 4 binary64)))
(/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x 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 x) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 2 binary64)))
(/.f64 x (/.f64 (+.f64 #s(literal 32 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))) (.f64 x x)))
(/.f64 x (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 x (.f64 (-.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal -2 binary64))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.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 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 (.f64 x x) #s(literal 1/4 binary64))))
(/.f64 (/.f64 x (+.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 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (.f64 (.f64 x x) #s(literal 1/4 binary64))))
(/.f64 x (-.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (/.f64 #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 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x))))
(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #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 #s(literal 4 binary64) (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) x)) (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 x (.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (.f64 x x))))))
(/.f64 (/.f64 x (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) (.f64 x x)) (.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 x x))))))
(/.f64 x (/.f64 (-.f64 #s(literal 64 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64))) (.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 8 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))))))
(/.f64 x (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) (.f64 (.f64 x x) #s(literal 1/4 binary64))))
(/.f64 (/.f64 x (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (/.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 (.f64 x x) #s(literal 4 binary64))) (+.f64 (.f64 (-.f64 (/.f64 #s(literal 16 binary64) x) x) (/.f64 #s(literal 4 binary64) x)) (+.f64 x #s(literal 4 binary64)))))
(/.f64 x (/.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) #s(literal 64 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 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 (+.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 x x)) (/.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (+.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (.f64 x x))))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (-.f64 (/.f64 #s(literal 16 binary64) x) x) (/.f64 #s(literal 4 binary64) x)) (+.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 (*.f64 x x) #s(literal 4 binary64))))))))
(/.f64 x (/.f64 (.f64 (+.f64 #s(literal 512 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 512 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64 binary64) (/.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))))) (.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 (/.f64 (+.f64 (.f64 (+.f64 (.f64 x x) #s(literal -16 binary64)) (.f64 x x)) (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 (-.f64 #s(literal 16 binary64) (.f64 x x)) #s(literal 4 binary64)))) (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 x x))) (.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (.f64 x x))))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 (+.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 x x)) (/.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (+.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))) (-.f64 (+.f64 (.f64 x x) #s(literal 16 binary64)) (.f64 x #s(literal 4 binary64)))))))
(/.f64 x (/.f64 (+.f64 #s(literal 512 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 512 binary64)))) (.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)) (+.f64 #s(literal 64 binary64) (/.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))))))
(sqrt.f64 x)

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
98.3%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes17.0ms (0.2%)

Counts

50 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)
(/.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) x))
(/.f64 x (.f64 (.f64 x x) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(/.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(*.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
(/.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 x x))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))) x))
(/.f64 x (.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x)))
(/.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 #s(literal 1 binary64) (.f64 x x)))) #s(literal 2 binary64)))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) #s(literal 4 binary64)))
(/.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x 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 x) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 2 binary64)))
(/.f64 x (/.f64 (+.f64 #s(literal 32 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x x)))) (.f64 x x)))
(/.f64 x (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 x (.f64 (-.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal -2 binary64))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 x x) #s(literal 4 binary64))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.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 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 (.f64 x x) #s(literal 1/4 binary64))))
(/.f64 (/.f64 x (+.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 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (.f64 (.f64 x x) #s(literal 1/4 binary64))))
(/.f64 x (-.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (/.f64 #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 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x))))
(/.f64 x (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 #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 #s(literal 4 binary64) (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) x)) (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 x (.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (.f64 x x))))))
(/.f64 (/.f64 x (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) (.f64 x x)) (.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 x x))))))
(/.f64 x (/.f64 (-.f64 #s(literal 64 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64))) (.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 8 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))))))
(/.f64 x (/.f64 (.f64 (-.f64 #s(literal 64 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) (.f64 (.f64 x x) #s(literal 1/4 binary64))))
(/.f64 (/.f64 x (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (/.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 (.f64 x x) #s(literal 4 binary64))) (+.f64 (.f64 (-.f64 (/.f64 #s(literal 16 binary64) x) x) (/.f64 #s(literal 4 binary64) x)) (+.f64 x #s(literal 4 binary64)))))
(/.f64 x (/.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) #s(literal 64 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 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))))) (+.f64 (/.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 (+.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 x x)) (/.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (+.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (.f64 x x))))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (-.f64 (/.f64 #s(literal 16 binary64) x) x) (/.f64 #s(literal 4 binary64) x)) (+.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 (*.f64 x x) #s(literal 4 binary64))))))))
(/.f64 x (/.f64 (.f64 (+.f64 #s(literal 512 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 512 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64 binary64) (/.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))))) (.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 (/.f64 (+.f64 (.f64 (+.f64 (.f64 x x) #s(literal -16 binary64)) (.f64 x x)) (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 (-.f64 #s(literal 16 binary64) (.f64 x x)) #s(literal 4 binary64)))) (.f64 (+.f64 x #s(literal -4 binary64)) (.f64 x x))) (.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (.f64 x x))))))
(/.f64 x (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64))) (/.f64 (+.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 x x)) (/.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (+.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (+.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))) (-.f64 (+.f64 (.f64 x x) #s(literal 16 binary64)) (.f64 x #s(literal 4 binary64)))))))
(/.f64 x (/.f64 (+.f64 #s(literal 512 binary64) (.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal 512 binary64)))) (.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) x)) (+.f64 #s(literal 64 binary64) (/.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x x))))))))

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
67.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
67.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
66.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 2 binary64)

Outputs
#s(literal 2 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
4.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch13.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.355275540635122e-6	3.4824465884368205

Results

7.0ms

144×

valid

Compiler

Compiled 256 to 198 computations (22.7% saved)

Precisions

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

ival-div: 1.0ms (26.4% of total)

ival-add: 1.0ms (26.4% of total)

ival-sqrt: 1.0ms (26.4% of total)

const: 0.0ms (0% of total)

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

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	3.355275540635122e-6	3.4824465884368205

Results

10.0ms

144×

valid

Compiler

Compiled 220 to 171 computations (22.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-sqrt: 4.0ms (56.8% of total)

ival-add: 2.0ms (28.4% of total)

ival-div: 1.0ms (14.2% of total)

const: 0.0ms (0% of total)

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

bsearch13.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.4824465884368205	3019141443.6795335

Results

7.0ms

144×

valid

Compiler

Compiled 202 to 153 computations (24.3% saved)

Precisions

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

ival-div: 1.0ms (26.7% of total)

ival-add: 1.0ms (26.7% of total)

ival-sqrt: 1.0ms (26.7% of total)

const: 0.0ms (0% of total)

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

simplify53.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	111
1	65	111
2	73	111
3	85	110
4	109	110
5	124	110
6	134	110
7	144	110
8	152	110

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.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)))))))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 3458764513820541/2305843009213693952 binary64)) (/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal 3433994715870003/1125899906842624 binary64)) (/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 2 binary64))) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(if (<=.f64 x #s(literal 8106479329266893/2251799813685248 binary64)) (/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 2 binary64))) (sqrt.f64 x))
(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.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 3458764513820541/2305843009213693952 binary64)) (/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal 3458764513820541/2305843009213693952 binary64)) (/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(if (<=.f64 x #s(literal 3433994715870003/1125899906842624 binary64)) (/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 2 binary64))) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(if (<=.f64 x #s(literal 8106479329266893/2251799813685248 binary64)) (/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64)))))) #s(literal 2 binary64))) (sqrt.f64 x))
(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(/.f64 x (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(/.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(/.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

soundness1.2s (16.4%)

Rules

3736×	`-lowering-.f32`
3736×	`-lowering-.f64`
3228×	`-lowering-.f32`
3228×	`-lowering-.f64`
2606×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	21
1	42	21
2	326	20
3	3660	20
0	8007	20
0	317	1441
1	1007	1254
2	3315	1242
0	8769	1242
0	161	538
1	520	435
2	1991	413
3	7753	413
0	8430	413

Stop Event

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

Compiler

Compiled 221 to 124 computations (43.9% saved)

preprocess55.0ms (0.8%)

Compiler: Compiled 240 to 98 computations (59.2% saved)

analyze2.0ms (0%)

sample651.0ms (9.3%)

preprocess60.0ms (0.9%)

explain77.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize26.0ms (0.4%)

series5.0ms (0.1%)

rewrite296.0ms (4.2%)

simplify291.0ms (4.1%)

eval35.0ms (0.5%)

prune64.0ms (0.9%)

simplify26.0ms (0.4%)

localize111.0ms (1.6%)

series11.0ms (0.2%)

rewrite347.0ms (4.9%)

simplify251.0ms (3.6%)

eval139.0ms (2%)

prune82.0ms (1.2%)

simplify253.0ms (3.6%)

localize120.0ms (1.7%)

series10.0ms (0.1%)

rewrite378.0ms (5.4%)

simplify226.0ms (3.2%)

eval142.0ms (2%)

prune124.0ms (1.8%)

simplify195.0ms (2.8%)

localize171.0ms (2.4%)

series17.0ms (0.2%)

rewrite365.0ms (5.2%)

simplify428.0ms (6.1%)

eval196.0ms (2.8%)

prune250.0ms (3.6%)

regimes39.0ms (0.6%)

regimes215.0ms (3.1%)

regimes46.0ms (0.7%)

regimes24.0ms (0.3%)

regimes21.0ms (0.3%)

regimes17.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

bsearch13.0ms (0.2%)

bsearch17.0ms (0.2%)

bsearch13.0ms (0.2%)

simplify53.0ms (0.8%)

soundness1.2s (16.4%)

preprocess55.0ms (0.8%)

end0.0ms (0%)

Profiling