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 8 computations (20% 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)

sample691.0ms (5.7%)

Results

456.0ms	8254×	0	valid
0.0ms	2×	0	invalid
1.0ms	2×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 267.0ms

ival-add: 106.0ms (39.7% of total)

ival-sqrt: 82.0ms (30.7% of total)

ival-div: 63.0ms (23.6% of total)

const: 13.0ms (4.9% of total)

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

Bogosity

preprocess24.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

116×	`associate-l`
78×	`div-sub`
76×	`distribute-lft-neg-in`
72×	`associate-/l*`
68×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	29	25
2	57	24
3	125	24
4	262	24
5	443	24
6	632	24
7	733	24
8	767	24
9	780	24
10	782	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))))

explain98.0ms (0.8%)

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

65.0ms

512×

valid

Compiler

Compiled 59 to 45 computations (23.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-sqrt: 20.0ms (47.5% of total)

ival-add: 16.0ms (38% of total)

ival-div: 4.0ms (9.5% of total)

const: 2.0ms (4.8% of total)

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

eval0.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% 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 7 computations (22.2% saved)

localize53.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
✓	cost-diff	0	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (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)))))

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))

Results

29.0ms

256×

valid

Compiler

Compiled 25 to 19 computations (24% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-add: 9.0ms (51.6% of total)

ival-sqrt: 6.0ms (34.4% of total)

ival-div: 2.0ms (11.5% of total)

const: 1.0ms (5.7% of total)

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

series9.0ms (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
3.0ms	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))

rewrite549.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3950×	`accelerator-lowering-fma.f32`
3950×	`accelerator-lowering-fma.f64`
3308×	`/-lowering-/.f32`
3308×	`/-lowering-/.f64`
2908×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	21
1	42	21
2	311	20
3	3396	20
0	8276	20

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 474

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) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 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) (sqrt.f64 (+.f64 x #s(literal 1 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 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #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 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #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) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(+.f64 (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 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) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))))
(fma.f64 x (/.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (-.f64 #s(literal 0 binary64) x))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) x)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (-.f64 #s(literal 0 binary64) x))))
(fma.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 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)))))
(fma.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 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal 1 binary64)))
(fma.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) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(fma.f64 (/.f64 x (-.f64 #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 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) x))) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (-.f64 #s(literal 0 binary64) x))))
(fma.f64 (/.f64 x (-.f64 #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 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (+.f64 #s(literal 2 binary64) x) (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (-.f64 #s(literal 0 binary64) x))))
(fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 9/2 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (*.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))))
(neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (*.f64 x (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 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 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 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) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
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(/.f64 (fabs.f64 (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))) (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (fabs.f64 (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64))))) (fabs.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(/.f64 (fabs.f64 (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 x #s(literal 1 binary64))))) (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (fabs.f64 (sqrt.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))) (fabs.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(/.f64 (fabs.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))))))) (fabs.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(/.f64 (fabs.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))))))) (fabs.f64 (+.f64 (.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(/.f64 (fabs.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))))) (fabs.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x)))))
(/.f64 (fabs.f64 (.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (fabs.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (-.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 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))
(pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 x))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log1p.f64 x)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log1p.f64 x)))
(*.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 (+.f64 x #s(literal 1 binary64)) (fabs.f64 (.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)) (fabs.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 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 #s(literal 1 binary64) (.f64 x (.f64 x x))) (sqrt.f64 (.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 #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 (.f64 x x) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))
(.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (+.f64 x #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) 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 (neg.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 0 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(.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 3/4 binary64)) (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 3/4 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (fabs.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/4 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 (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal -1/2 binary64)))
(.f64 (sqrt.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (*.f64 x x) #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)) (+.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 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))) (+.f64 (.f64 (.f64 x 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 x x) (-.f64 #s(literal 1 binary64) x)))) (-.f64 (*.f64 x x) (-.f64 #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)))
(.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x x)))) (exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (.f64 x (+.f64 x #s(literal -1 binary64)))))))
(.f64 (exp.f64 (log.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)))) (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (+.f64 x #s(literal -1 binary64))))))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))))))
(.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64)))))) (fabs.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))))
(.f64 (fabs.f64 (+.f64 (.f64 x x) #s(literal -1 binary64))) (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (fabs.f64 (+.f64 (.f64 x x) #s(literal -1 binary64))))
(.f64 (fabs.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) x)))) (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal -1 binary64))))))))
(.f64 (fabs.f64 (+.f64 (neg.f64 (.f64 x x)) #s(literal 1 binary64))) (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (fabs.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/4 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(.f64 (fabs.f64 (.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(.f64 (fabs.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(.f64 (fabs.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 (fabs.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 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))))) (fabs.f64 (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))))
(.f64 (fabs.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 x x) (-.f64 #s(literal 1 binary64) x))))) (fabs.f64 (-.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(.f64 (fabs.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64)))) (fabs.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (fabs.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 x #s(literal 1 binary64)))

simplify899.0ms (7.4%)

Algorithm

1×	egg-herbie

Rules

18662×	`accelerator-lowering-fma.f32`
18662×	`accelerator-lowering-fma.f64`
3776×	`-lowering-.f32`
3776×	`-lowering-.f64`
2642×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	600
1	485	505
2	1633	483
3	5433	474
0	8374	430

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

eval134.0ms (1.1%)

Compiler: Compiled 11244 to 7662 computations (31.9% saved)

prune114.0ms (0.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	513	9	522
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	514	9	523

Accuracy

100.0%

Counts

523 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) x))
	69.4%	(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
▶	71.0%	(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
▶	35.8%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
▶	70.6%	(/.f64 x #s(literal 2 binary64))
	30.9%	(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
	68.9%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
▶	31.5%	(sqrt.f64 x)
	35.8%	(neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Compiler

Compiled 136 to 106 computations (22.1% saved)

localize207.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 24 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (sqrt.f64 x))
✓	cost-diff	0	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	cost-diff	256	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (sqrt.f64 x))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.8%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	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%	(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) x))

Rules

140×	`-lowering-.f32`
140×	`-lowering-.f64`
98×	`/-lowering-/.f32`
98×	`/-lowering-/.f64`
60×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	70
1	28	68
2	45	66
3	71	66
4	107	66
5	141	66
6	203	66
7	259	66
8	306	66
9	321	66
10	322	66
0	322	64

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

47.0ms	160×	0	valid
83.0ms	96×	0	invalid

Compiler

Compiled 80 to 55 computations (31.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-div: 69.0ms (67.1% of total)

ival-add: 16.0ms (15.6% of total)

ival-sqrt: 9.0ms (8.8% of total)

ival-mult: 5.0ms (4.9% of total)

const: 3.0ms (2.9% of total)

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

series21.0ms (0.2%)

Counts

11 → 132

Calls

Call 1

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

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

Calls

33 calls:

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

rewrite556.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

7326×	`accelerator-lowering-fma.f32`
7326×	`accelerator-lowering-fma.f64`
4828×	`-lowering-.f32`
4828×	`-lowering-.f64`
4318×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	60
1	116	56
2	870	55
0	8509	53

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 693

Calls

Call 1

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

Outputs
(+.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (.f64 (log1p.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (.f64 (log.f64 x) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (neg.f64 (+.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (+.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x))
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) x))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (.f64 x #s(literal 2 binary64)))) #s(literal -2 binary64))
(/.f64 (.f64 (neg.f64 (.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) x)
(.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x)))
(.f64 #s(literal 2 binary64) (.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(.f64 (/.f64 x #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 0 binary64) x))
(.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) x))
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) x))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (.f64 x (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (.f64 (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) x))
(.f64 (.f64 x (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (/.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (/.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (.f64 x #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (/.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(*.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) x)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) #s(literal 1 binary64)) (.f64 x (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) #s(literal -1 binary64)) (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal -1/2 binary64)))
(.f64 (.f64 (sqrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64))))
(.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1/2 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
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(*.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64)) (*.f64 x #s(literal 2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x)))))
(*.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x)))))
(*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(+.f64 #s(literal 1 binary64) (sqrt.f64 x))
(+.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x))))
(+.f64 (sqrt.f64 x) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(+.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) (/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
(-.f64 (/.f64 x (+.f64 (sqrt.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(fma.f64 (sqrt.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(neg.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 x) #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 x))))
(/.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x))))))
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64))) (neg.f64 (+.f64 (sqrt.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x)))))
(/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) x)) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (+.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x))))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x (*.f64 x x)) (pow.f64 x #s(literal 3/2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x))))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x)))))
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x))))))
(*.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 x)))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (sqrt.f64 x)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 x (sqrt.f64 x)) (-.f64 (-.f64 x (sqrt.f64 x)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (sqrt.f64 x)) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))

simplify1.0s (8.4%)

Algorithm

1×	egg-herbie

Rules

25410×	`accelerator-lowering-fma.f32`
25410×	`accelerator-lowering-fma.f64`
4226×	`+-lowering-+.f64`
4226×	`+-lowering-+.f32`
3856×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	252	1231
1	817	1046
2	2695	1000
0	8297	930

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

eval245.0ms (2%)

Compiler: Compiled 13601 to 10013 computations (26.4% saved)

prune208.0ms (1.7%)

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	855	13	868
Fresh	0	4	4
Picked	1	4	5
Done	0	0	0
Total	856	21	877

Accuracy

100.0%

Counts

877 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.8%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))
▶	70.0%	(/.f64 (.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) #s(literal -4 binary64))) (+.f64 (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 #s(literal 4 binary64) x)))
	70.2%	(/.f64 (*.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) #s(literal -4 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) #s(literal -4 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))
▶	69.8%	(/.f64 (.f64 x (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (-.f64 #s(literal 4 binary64) x))) (+.f64 (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64)))
	70.2%	(/.f64 (*.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) #s(literal -4 binary64)))
	70.6%	(/.f64 x (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 x (/.f64 #s(literal 4 binary64) x))) (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal -2 binary64)))))
	69.9%	(/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64)))))
	71.0%	(/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
▶	69.4%	(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
✓	71.0%	(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
✓	35.8%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
	69.4%	(/.f64 x (.f64 (/.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64)) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 64 binary64)) (.f64 (-.f64 #s(literal 4 binary64) x) (.f64 (-.f64 #s(literal 4 binary64) x) (-.f64 #s(literal 4 binary64) x))))) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/16 binary64)) (*.f64 (-.f64 #s(literal 4 binary64) x) (-.f64 (-.f64 #s(literal 4 binary64) x) (/.f64 x (/.f64 #s(literal 4 binary64) x)))))))
	70.0%	(/.f64 x (.f64 (/.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) #s(literal -4 binary64)) (+.f64 (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 #s(literal 4 binary64) x))))
✓	70.6%	(/.f64 x #s(literal 2 binary64))
	70.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
	30.9%	(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
▶	71.0%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) x)
	68.9%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
✓	31.5%	(sqrt.f64 x)
	35.8%	(neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	4.8%	#s(literal 2 binary64)

Compiler

Compiled 616 to 438 computations (28.9% saved)

localize1.3s (10.8%)

Algorithm

1×	egg-herbie

Localize:

Found 32 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) #s(literal -4 binary64))
✓	cost-diff	0	(/.f64 x (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) #s(literal -4 binary64)))
✓	cost-diff	0	(.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) #s(literal -4 binary64))) (+.f64 (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64)))
✓	cost-diff	0	(/.f64 (.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) #s(literal -4 binary64))) (+.f64 (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 #s(literal 4 binary64) x)))
✓	cost-diff	0	(/.f64 x (/.f64 #s(literal 4 binary64) x))
✓	cost-diff	0	(+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (-.f64 #s(literal 4 binary64) x))
✓	cost-diff	0	(*.f64 x (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (-.f64 #s(literal 4 binary64) x)))
✓	cost-diff	0	(/.f64 (.f64 x (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (-.f64 #s(literal 4 binary64) x))) (+.f64 (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
✓	cost-diff	0	(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) x)
✓	accuracy	99.8%	(/.f64 x (/.f64 #s(literal 4 binary64) x))
✓	accuracy	94.2%	(.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) #s(literal -4 binary64))) (+.f64 (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64)))
✓	accuracy	86.5%	(/.f64 x (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) #s(literal -4 binary64)))
✓	accuracy	86.0%	(/.f64 (.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) #s(literal -4 binary64))) (+.f64 (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 #s(literal 4 binary64) x)))
✓	accuracy	100.0%	(*.f64 x (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (-.f64 #s(literal 4 binary64) x)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(/.f64 x (/.f64 #s(literal 4 binary64) x))
✓	accuracy	79.9%	(/.f64 (.f64 x (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (-.f64 #s(literal 4 binary64) x))) (+.f64 (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64)))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
✓	accuracy	100.0%	(*.f64 x #s(literal -1/8 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64))
✓	accuracy	86.5%	(/.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 x #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))
✓	accuracy	99.9%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) x)

Rules

16558×	`accelerator-lowering-fma.f32`
16558×	`accelerator-lowering-fma.f64`
3774×	`-lowering-.f32`
3774×	`-lowering-.f64`
2176×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	215
1	89	213
2	184	213
3	445	213
4	957	213
5	2036	213
6	4596	213
0	8120	185

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

348.0ms

256×

valid

Compiler

Compiled 261 to 158 computations (39.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 296.0ms

ival-div: 120.0ms (40.5% of total)

ival-mult: 107.0ms (36.1% of total)

ival-add: 57.0ms (19.3% of total)

const: 7.0ms (2.4% of total)

ival-sub: 5.0ms (1.7% of total)

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

series37.0ms (0.3%)

Counts

18 → 216

Calls

Call 1

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

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

Calls

54 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	(* x (+ 1/2 (* x -1/8)))
2.0ms	x	@	0	(* (/ x (+ (/ x (/ 4 x)) -4)) (+ (/ (* x (* x x)) 8) -8))
1.0ms	x	@	inf	(/ 1 (+ 2 (/ x 2)))
0.0ms	x	@	-inf	(* (/ 1 (+ 2 (/ x 2))) x)
0.0ms	x	@	0	(/ x (/ 4 x))

rewrite793.0ms (6.6%)

Algorithm

1×	batch-egg-rewrite

Rules

7478×	`accelerator-lowering-fma.f32`
7478×	`accelerator-lowering-fma.f64`
5512×	`/-lowering-/.f32`
5512×	`/-lowering-/.f64`
4076×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	166
1	256	164
2	2476	164
0	9155	144

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 784

Calls

Call 1

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

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

simplify875.0ms (7.3%)

Algorithm

1×	egg-herbie

Rules

13710×	`accelerator-lowering-fma.f32`
13710×	`accelerator-lowering-fma.f64`
3866×	`-lowering-.f32`
3866×	`-lowering-.f64`
3382×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	273	1566
1	770	1526
2	1910	1467
3	4817	1454
0	8430	1331

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

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)))
1/2
(+ 1/2 (* -1/8 x))
(+ 1/2 (* x (- (* 1/32 x) 1/8)))
(+ 1/2 (* x (- (* x (+ 1/32 (* -1/128 x))) 1/8)))
(/ 2 x)
(/ (- 2 (* 8 (/ 1 x))) x)
(/ (- (+ 2 (/ 32 (pow x 2))) (* 8 (/ 1 x))) x)
(/ (- (+ 2 (/ 32 (pow x 2))) (+ (* 8 (/ 1 x)) (* 128 (/ 1 (pow x 3))))) x)
(/ 2 x)
(* -1 (/ (- (* 8 (/ 1 x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 32 (/ 1 x)) 8) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 128 (/ 1 x)) 32) x)) 8) x)) 2) 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))
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* -1/8 x)))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* x (- (* 1/32 x) 1/8))))
(* x (+ 1/2 (* x (- (* x (+ 1/32 (* -1/128 x))) 1/8))))
2
(- 2 (* 8 (/ 1 x)))
(- (+ 2 (/ 32 (pow x 2))) (* 8 (/ 1 x)))
(- (+ 2 (/ 32 (pow x 2))) (+ (* 8 (/ 1 x)) (* 128 (/ 1 (pow x 3)))))
2
(- 2 (* 8 (/ 1 x)))
(+ 2 (* -1 (/ (- 8 (* 32 (/ 1 x))) x)))
(+ 2 (* -1 (/ (+ 8 (* -1 (/ (- 32 (* 128 (/ 1 x))) x))) x)))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(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 x)
(* x (+ 4 (* -1 x)))
(* x (+ 4 (* x (- (* 1/4 x) 1))))
(* x (+ 4 (* x (- (* 1/4 x) 1))))
(* 1/4 (pow x 3))
(* (pow x 3) (- 1/4 (/ 1 x)))
(* (pow x 3) (- (+ 1/4 (/ 4 (pow x 2))) (/ 1 x)))
(* (pow x 3) (- (+ 1/4 (/ 4 (pow x 2))) (/ 1 x)))
(* 1/4 (pow x 3))
(* -1 (* (pow x 3) (- (/ 1 x) 1/4)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 4 (/ 1 x)) 1) x)) 1/4)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 4 (/ 1 x)) 1) x)) 1/4)))
(* 1/2 x)
(* x (+ 1/2 (* -1/8 x)))
(* x (+ 1/2 (* x (- (* 1/32 x) 1/8))))
(* x (+ 1/2 (* x (- (* x (+ 1/32 (* -1/128 x))) 1/8))))
2
(- 2 (* 8 (/ 1 x)))
(- (+ 2 (/ 32 (pow x 2))) (* 8 (/ 1 x)))
(- (+ 2 (/ 32 (pow x 2))) (+ (* 8 (/ 1 x)) (* 128 (/ 1 (pow x 3)))))
2
(- 2 (* 8 (/ 1 x)))
(+ 2 (* -1 (/ (- 8 (* 32 (/ 1 x))) x)))
(+ 2 (* -1 (/ (+ 8 (* -1 (/ (- 32 (* 128 (/ 1 x))) x))) x)))
(* -1/4 x)
(* x (- (* -1/64 (pow x 2)) 1/4))
(* x (- (* (pow x 2) (- (* -1/1024 (pow x 2)) 1/64)) 1/4))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/16384 (pow x 2)) 1/1024)) 1/64)) 1/4))
(/ 4 x)
(/ (+ 4 (* 64 (/ 1 (pow x 2)))) x)
(/ (+ 4 (+ (* 64 (/ 1 (pow x 2))) (/ 1024 (pow x 4)))) x)
(/ (+ 4 (+ (* 64 (/ 1 (pow x 2))) (+ (* 16384 (/ 1 (pow x 6))) (/ 1024 (pow x 4))))) x)
(/ 4 x)
(/ (+ 4 (* 64 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 64 (* 1024 (/ 1 (pow x 2)))) (pow x 2))) 4) x))
(* -1 (/ (- (* -1 (/ (+ 1024 (* 16384 (/ 1 (pow x 2)))) (pow x 4))) (+ 4 (* 64 (/ 1 (pow x 2))))) x))
(* 2 x)
(* x (+ 2 (* 1/8 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/8 (* -1/32 x)))))
(* x (+ 2 (* (pow x 2) (+ 1/8 (* x (- (* 1/128 x) 1/32))))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 8 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1/2 (* 8 (/ 1 (pow x 2)))) (/ 32 (pow x 3))))
(* (pow x 2) (- (+ 1/2 (+ (* 8 (/ 1 (pow x 2))) (* 128 (/ 1 (pow x 4))))) (/ 32 (pow x 3))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 8 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 1/2 (* 8 (/ 1 (pow x 2)))) (/ 32 (pow x 3))))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (- 32 (* 128 (/ 1 x))) (pow x 3))) (* 8 (/ 1 (pow x 2))))))
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)))))
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))))
-4
(- (* 1/4 (pow x 2)) 4)
(- (* 1/4 (pow x 2)) 4)
(- (* 1/4 (pow x 2)) 4)
(* 1/4 (pow x 2))
(* (pow x 2) (- 1/4 (* 4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/4 (* 4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/4 (* 4 (/ 1 (pow x 2)))))
(* 1/4 (pow x 2))
(* (pow x 2) (- 1/4 (* 4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/4 (* 4 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/4 (* 4 (/ 1 (pow x 2)))))

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 #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 #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))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/8 x))
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))
(+ 1/2 (* x (- (* 1/32 x) 1/8)))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/32 binary64)))))
(+ 1/2 (* x (- (* x (+ 1/32 (* -1/128 x))) 1/8)))
(+.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 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 8 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -8 binary64) x)) x)
(/ (- (+ 2 (/ 32 (pow x 2))) (* 8 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -8 binary64) (/.f64 #s(literal -32 binary64) x)) x)) x)
(/ (- (+ 2 (/ 32 (pow x 2))) (+ (* 8 (/ 1 x)) (* 128 (/ 1 (pow x 3))))) x)
(/.f64 (+.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)) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* -1 (/ (- (* 8 (/ 1 x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -8 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 32 (/ 1 x)) 8) x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -8 binary64) (/.f64 #s(literal -32 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 128 (/ 1 x)) 32) x)) 8) x)) 2) x))
(/.f64 (+.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)) x)
2
#s(literal 2 binary64)
(+ 2 (* 1/2 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(+ 2 (* 1/2 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(+ 2 (* 1/2 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 2 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* x (+ 1/2 (* 2 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* x (+ 1/2 (* 2 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 2 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* x (+ 1/2 (* 2 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* x (+ 1/2 (* 2 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/8 x)))
(.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))))
(* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/16 binary64))))))
(* x (+ 1/2 (* x (- (* x (+ 1/16 (* -3/128 x))) 1/8))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (+.f64 #s(literal 1/16 binary64) (.f64 x #s(literal -3/128 binary64))))))))
(/ -8 x)
(/.f64 #s(literal -8 binary64) x)
(* -1 (/ (+ 8 (* 32 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -32 binary64) x)) x)
(/ (- (* -1 (/ (+ 32 (* 256 (/ 1 x))) x)) 8) x)
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (-.f64 #s(literal -32 binary64) (/.f64 #s(literal 256 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 256 (* 1536 (/ 1 x))) (pow x 2))) (+ 8 (* 32 (/ 1 x)))) x)
(/.f64 (+.f64 #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 #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 #s(literal -32 binary64) (/.f64 (+.f64 #s(literal 256 binary64) (/.f64 #s(literal 1536 binary64) x)) x)) x)) x)
2
#s(literal 2 binary64)
(+ 2 (* 1/2 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(+ 2 (* x (+ 1/2 (* -1/8 x))))
(+.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))) #s(literal 2 binary64))
(+ 2 (* x (+ 1/2 (* -1/8 x))))
(+.f64 (.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64)))) #s(literal 2 binary64))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(.f64 x (-.f64 #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 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)))))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(.f64 x (-.f64 #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 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)))))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/8 x)))
(.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))))
(* x (+ 1/2 (* -1/8 x)))
(.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))))
(* x (+ 1/2 (* -1/8 x)))
(.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(.f64 x (-.f64 #s(literal 1/2 binary64) (.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)) 1/8))
(.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))))
(* -1/8 (pow x 2))
(.f64 x (.f64 x #s(literal -1/8 binary64)))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))
(.f64 x (-.f64 #s(literal 1/2 binary64) (.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)) 1/8))
(.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/8 x)))
(.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))))
(* x (+ 1/2 (* 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 #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 #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))
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* x (+ 4 (* -1 x)))
(*.f64 x (-.f64 #s(literal 4 binary64) x))
(* x (+ 4 (* x (- (* 1/4 x) 1))))
(.f64 x (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/4 binary64))))))
(* x (+ 4 (* x (- (* 1/4 x) 1))))
(.f64 x (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/4 binary64))))))
(* 1/4 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(* (pow x 3) (- 1/4 (/ 1 x)))
(.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/4 binary64))))
(* (pow x 3) (- (+ 1/4 (/ 4 (pow x 2))) (/ 1 x)))
(.f64 x (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/4 binary64))))))
(* (pow x 3) (- (+ 1/4 (/ 4 (pow x 2))) (/ 1 x)))
(.f64 x (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/4 binary64))))))
(* 1/4 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/4 binary64))
(* -1 (* (pow x 3) (- (/ 1 x) 1/4)))
(.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/4 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 4 (/ 1 x)) 1) x)) 1/4)))
(.f64 x (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/4 binary64))))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 4 (/ 1 x)) 1) x)) 1/4)))
(.f64 x (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/4 binary64))))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/8 x)))
(.f64 x (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))))
(* x (+ 1/2 (* x (- (* 1/32 x) 1/8))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/32 binary64))))))
(* x (+ 1/2 (* x (- (* x (+ 1/32 (* -1/128 x))) 1/8))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (+.f64 #s(literal 1/32 binary64) (.f64 x #s(literal -1/128 binary64))))))))
2
#s(literal 2 binary64)
(- 2 (* 8 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -8 binary64) x))
(- (+ 2 (/ 32 (pow x 2))) (* 8 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -8 binary64) (/.f64 #s(literal -32 binary64) x)) 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 #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))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* x (- (* -1/64 (pow x 2)) 1/4))
(.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 x (*.f64 x #s(literal -1/64 binary64)))))
(* x (- (* (pow x 2) (- (* -1/1024 (pow x 2)) 1/64)) 1/4))
(.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/64 binary64) (.f64 x (*.f64 x #s(literal -1/1024 binary64)))))))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/16384 (pow x 2)) 1/1024)) 1/64)) 1/4))
(.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/64 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/1024 binary64) (.f64 (*.f64 x x) #s(literal -1/16384 binary64))))))))
(/ 4 x)
(/.f64 #s(literal 4 binary64) x)
(/ (+ 4 (* 64 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal -64 binary64) x) x)) x)
(/ (+ 4 (+ (* 64 (/ 1 (pow x 2))) (/ 1024 (pow x 4)))) x)
(/.f64 (+.f64 (-.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal -64 binary64) x) x)) (/.f64 #s(literal 1024 binary64) (.f64 x (.f64 x (*.f64 x x))))) x)
(/ (+ 4 (+ (* 64 (/ 1 (pow x 2))) (+ (* 16384 (/ 1 (pow x 6))) (/ 1024 (pow x 4))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1024 binary64) (.f64 x (.f64 x (*.f64 x x)))) (+.f64 (-.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal -64 binary64) x) x)) (/.f64 #s(literal 16384 binary64) (pow.f64 x #s(literal 6 binary64))))) x)
(/ 4 x)
(/.f64 #s(literal 4 binary64) x)
(/ (+ 4 (* 64 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal -64 binary64) x) x)) x)
(* -1 (/ (- (* -1 (/ (+ 64 (* 1024 (/ 1 (pow x 2)))) (pow x 2))) 4) x))
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 64 binary64) (/.f64 #s(literal 1024 binary64) (.f64 x x))) (.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 1024 (* 16384 (/ 1 (pow x 2)))) (pow x 4))) (+ 4 (* 64 (/ 1 (pow x 2))))) x))
(/.f64 (+.f64 (-.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal -64 binary64) x) x)) (/.f64 (+.f64 #s(literal 1024 binary64) (/.f64 #s(literal 16384 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/8 (pow x 2))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (*.f64 x #s(literal 1/8 binary64)))))
(* x (+ 2 (* (pow x 2) (+ 1/8 (* -1/32 x)))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal -1/32 binary64))))))
(* x (+ 2 (* (pow x 2) (+ 1/8 (* x (- (* 1/128 x) 1/32))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 x (+.f64 #s(literal -1/32 binary64) (*.f64 x #s(literal 1/128 binary64))))))))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2 (* 8 (/ 1 (pow x 2)))))
(+.f64 #s(literal 8 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(* (pow x 2) (- (+ 1/2 (* 8 (/ 1 (pow x 2)))) (/ 32 (pow x 3))))
(+.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -32 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(* (pow x 2) (- (+ 1/2 (+ (* 8 (/ 1 (pow x 2))) (* 128 (/ 1 (pow x 4))))) (/ 32 (pow x 3))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 128 binary64) x) #s(literal -32 binary64)) x) (+.f64 #s(literal 8 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2 (* 8 (/ 1 (pow x 2)))))
(+.f64 #s(literal 8 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(* (pow x 2) (- (+ 1/2 (* 8 (/ 1 (pow x 2)))) (/ 32 (pow x 3))))
(+.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -32 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (- 32 (* 128 (/ 1 x))) (pow x 3))) (* 8 (/ 1 (pow x 2))))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 128 binary64) x) #s(literal -32 binary64)) x) (+.f64 #s(literal 8 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/8 x))
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))
(+ 1/2 (* -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 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))
(* x (- (* 1/2 (/ 1 x)) 1/8))
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))
(* x (- (* 1/2 (/ 1 x)) 1/8))
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))
(* -1/8 x)
(*.f64 x #s(literal -1/8 binary64))
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 binary64)))
(* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/8 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 (.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)))))
-4
#s(literal -4 binary64)
(- (* 1/4 (pow x 2)) 4)
(+.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal -4 binary64))
(- (* 1/4 (pow x 2)) 4)
(+.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal -4 binary64))
(- (* 1/4 (pow x 2)) 4)
(+.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal -4 binary64))
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* (pow x 2) (- 1/4 (* 4 (/ 1 (pow x 2)))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal -4 binary64))
(* (pow x 2) (- 1/4 (* 4 (/ 1 (pow x 2)))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal -4 binary64))
(* (pow x 2) (- 1/4 (* 4 (/ 1 (pow x 2)))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal -4 binary64))
(* 1/4 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/4 binary64))
(* (pow x 2) (- 1/4 (* 4 (/ 1 (pow x 2)))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal -4 binary64))
(* (pow x 2) (- 1/4 (* 4 (/ 1 (pow x 2)))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal -4 binary64))
(* (pow x 2) (- 1/4 (* 4 (/ 1 (pow x 2)))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal -4 binary64))

eval435.0ms (3.6%)

Compiler: Compiled 36280 to 22628 computations (37.6% saved)

prune222.0ms (1.8%)

Pruning

32 alts after pruning (24 fresh and 8 done)

	Pruned	Kept	Total
New	1199	15	1214
Fresh	3	9	12
Picked	1	4	5
Done	0	4	4
Total	1203	32	1235

Accuracy

100.0%

Counts

1235 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.8%	(/.f64 (/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 512 binary64)) #s(literal -512 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 64 binary64) (.f64 x (.f64 x x)))) (-.f64 #s(literal 64 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) #s(literal -4 binary64)) x))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 #s(literal 4 binary64) x)))
	70.8%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))
▶	69.4%	(/.f64 (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/16 binary64)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x))))) (+.f64 (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 64 binary64) (.f64 x (.f64 x x)))) #s(literal -64 binary64))))) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 #s(literal 4 binary64) x)))
	69.6%	(/.f64 (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 x (/.f64 #s(literal 4 binary64) x))) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/16 binary64)) #s(literal -16 binary64))))) (+.f64 (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 #s(literal 4 binary64) x)))
▶	70.0%	(/.f64 (.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) #s(literal -4 binary64))) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x))) (+.f64 #s(literal 4 binary64) x)))
	70.0%	(/.f64 (.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) #s(literal -4 binary64))) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x))) (+.f64 #s(literal 4 binary64) x)))
	70.2%	(/.f64 (*.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) #s(literal -4 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) #s(literal -4 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))
	2.4%	(/.f64 (.f64 (/.f64 #s(literal 4 binary64) x) (+.f64 (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 #s(literal 4 binary64) x)))
	70.0%	(/.f64 (.f64 x (/.f64 (+.f64 (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 x #s(literal 4 binary64))))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) #s(literal -4 binary64)))
	69.8%	(/.f64 (.f64 x (/.f64 (+.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 x x)) (/.f64 #s(literal 4 binary64) x)) (.f64 (+.f64 x #s(literal 4 binary64)) x)) (.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) x)))) (+.f64 (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64)))
	69.8%	(/.f64 (.f64 x (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (-.f64 #s(literal 4 binary64) x))) (+.f64 (/.f64 (.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) #s(literal 8 binary64)) #s(literal 8 binary64)))
✓	69.8%	(/.f64 (.f64 x (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (-.f64 #s(literal 4 binary64) x))) (+.f64 (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64)))
	70.2%	(/.f64 (*.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) #s(literal -4 binary64)))
	69.8%	(/.f64 (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 4 binary64) x))) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64)))
	70.6%	(/.f64 x (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 x (/.f64 #s(literal 4 binary64) x))) (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal -2 binary64)))))
▶	69.9%	(/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64)))))
▶	71.0%	(/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
✓	69.4%	(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
✓	71.0%	(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
✓	35.8%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
✓	70.6%	(/.f64 x #s(literal 2 binary64))
▶	70.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
	30.9%	(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
	69.6%	(.f64 (/.f64 (/.f64 (.f64 x (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64))) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/16 binary64)) #s(literal -16 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/16 binary64)) (*.f64 (+.f64 x #s(literal 4 binary64)) (+.f64 x #s(literal 4 binary64))))) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 x (/.f64 #s(literal 4 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 x #s(literal 4 binary64))))))
	69.3%	(.f64 (/.f64 x (+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 512 binary64)) #s(literal 512 binary64))) (/.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (-.f64 #s(literal 4 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 64 binary64) (.f64 x (.f64 x x)))) (-.f64 #s(literal 64 binary64) (.f64 x (*.f64 x x)))))))
✓	71.0%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) x)
	68.9%	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) x)
	70.6%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (/.f64 x (/.f64 #s(literal 4 binary64) x)))) (-.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) x)
	70.0%	(.f64 (.f64 (/.f64 #s(literal 1 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 #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x)))) x)
✓	31.5%	(sqrt.f64 x)
	35.8%	(neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	4.8%	#s(literal 2 binary64)

Compiler

Compiled 1430 to 954 computations (33.3% saved)

localize1.2s (9.6%)

Algorithm

1×	egg-herbie

Localize:

Found 36 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	512	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/16 binary64)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x))))) (+.f64 (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 64 binary64) (.f64 x (*.f64 x x)))) #s(literal -64 binary64))))
✓	cost-diff	512	(/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/16 binary64)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x))))) (+.f64 (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 64 binary64) (.f64 x (*.f64 x x)))) #s(literal -64 binary64)))))
✓	cost-diff	512	(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/16 binary64)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x))))) (+.f64 (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 64 binary64) (.f64 x (.f64 x x)))) #s(literal -64 binary64))))) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64)))
✓	cost-diff	512	(/.f64 (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/16 binary64)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x))))) (+.f64 (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 64 binary64) (.f64 x (.f64 x x)))) #s(literal -64 binary64))))) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 #s(literal 4 binary64) x)))
✓	cost-diff	0	(.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) #s(literal -4 binary64))) (+.f64 (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x)))
✓	cost-diff	128	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x))) (+.f64 #s(literal 4 binary64) x))
✓	cost-diff	128	(/.f64 (.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) #s(literal -4 binary64))) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x))) (+.f64 #s(literal 4 binary64) x)))
✓	cost-diff	0	(+.f64 #s(literal 4 binary64) (.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 4 binary64) (.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64))))
✓	cost-diff	128	(/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64)))))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) x)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) x)
✓	cost-diff	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)))
✓	accuracy	94.2%	(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/16 binary64)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x))))) (+.f64 (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 64 binary64) (.f64 x (.f64 x x)))) #s(literal -64 binary64))))) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64)))
✓	accuracy	86.5%	(/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/16 binary64)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x))))) (+.f64 (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 64 binary64) (.f64 x (*.f64 x x)))) #s(literal -64 binary64)))))
✓	accuracy	86.0%	(/.f64 (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/16 binary64)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x))))) (+.f64 (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 64 binary64) (.f64 x (.f64 x x)))) #s(literal -64 binary64))))) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 #s(literal 4 binary64) x)))
✓	accuracy	74.3%	(/.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/16 binary64)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x))))) (+.f64 (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 64 binary64) (.f64 x (*.f64 x x)))) #s(literal -64 binary64)))
✓	accuracy	98.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x)))
✓	accuracy	94.2%	(.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) #s(literal -4 binary64))) (+.f64 (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64)))
✓	accuracy	86.5%	(/.f64 x (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) #s(literal -4 binary64)))
✓	accuracy	86.0%	(/.f64 (.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) #s(literal -4 binary64))) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x))) (+.f64 #s(literal 4 binary64) x)))
✓	accuracy	100.0%	(/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64)))))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64))))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	79.8%	(/.f64 (+.f64 #s(literal 4 binary64) (.f64 x (-.f64 (.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))

Rules

5458×	`-lowering-.f32`
5458×	`-lowering-.f64`
2572×	`accelerator-lowering-fma.f32`
2572×	`accelerator-lowering-fma.f64`
2292×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	474
1	131	442
2	351	403
3	1053	403
4	4442	403
0	8118	362

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ x (+ (/ 1 (/ 2 x)) 2))
x
(+ (/ 1 (/ 2 x)) 2)
(/ 1 (/ 2 x))
1
(/ 2 x)
2
(/ x (/ 1 (/ (+ 4 (* x (- (* x 1/4) 1))) (+ (/ (* x (* x x)) 8) 8))))
(/ 1 (/ (+ 4 (* x (- (* x 1/4) 1))) (+ (/ (* x (* x x)) 8) 8)))
(/ (+ 4 (* x (- (* x 1/4) 1))) (+ (/ (* x (* x x)) 8) 8))
(+ 4 (* x (- (* x 1/4) 1)))
4
(* x (- (* x 1/4) 1))
(- (* x 1/4) 1)
(* x 1/4)
1/4
(+ (/ (* x (* x x)) 8) 8)
(/ (* x (* x x)) 8)
(* x (* x x))
(* x x)
8
(/ (* (/ x (+ (/ x (/ 4 x)) -4)) (+ (/ (* x (* x x)) 8) -8)) (+ (/ 1 (/ 4 (* x x))) (+ 4 x)))
(* (/ x (+ (/ x (/ 4 x)) -4)) (+ (/ (* x (* x x)) 8) -8))
(/ x (+ (/ x (/ 4 x)) -4))
(+ (/ x (/ 4 x)) -4)
(/ x (/ 4 x))
(/ 4 x)
-4
(+ (/ (* x (* x x)) 8) -8)
-8
(+ (/ 1 (/ 4 (* x x))) (+ 4 x))
(/ 1 (/ 4 (* x x)))
(/ 4 (* x x))
(+ 4 x)
(/ (* (/ x (/ 1 (/ (+ (* (* (* x x) (* x x)) 1/16) (- 16 (/ -4 (/ 4 (* x x))))) (+ (/ (* x (* x x)) (/ 64 (* x (* x x)))) -64)))) (+ (/ (* x (* x x)) 8) -8)) (+ (/ x (/ 4 x)) (+ 4 x)))
(* (/ x (/ 1 (/ (+ (* (* (* x x) (* x x)) 1/16) (- 16 (/ -4 (/ 4 (* x x))))) (+ (/ (* x (* x x)) (/ 64 (* x (* x x)))) -64)))) (+ (/ (* x (* x x)) 8) -8))
(/ x (/ 1 (/ (+ (* (* (* x x) (* x x)) 1/16) (- 16 (/ -4 (/ 4 (* x x))))) (+ (/ (* x (* x x)) (/ 64 (* x (* x x)))) -64))))
(/ 1 (/ (+ (* (* (* x x) (* x x)) 1/16) (- 16 (/ -4 (/ 4 (* x x))))) (+ (/ (* x (* x x)) (/ 64 (* x (* x x)))) -64)))
(/ (+ (* (* (* x x) (* x x)) 1/16) (- 16 (/ -4 (/ 4 (* x x))))) (+ (/ (* x (* x x)) (/ 64 (* x (* x x)))) -64))
(+ (* (* (* x x) (* x x)) 1/16) (- 16 (/ -4 (/ 4 (* x x)))))
(* (* (* x x) (* x x)) 1/16)
(* (* x x) (* x x))
1/16
(- 16 (/ -4 (/ 4 (* x x))))
16
(/ -4 (/ 4 (* x x)))
(+ (/ (* x (* x x)) (/ 64 (* x (* x x)))) -64)
(/ (* x (* x x)) (/ 64 (* x (* x x))))
(/ 64 (* x (* x x)))
64
-64
(+ (/ x (/ 4 x)) (+ 4 x))

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

Results

430.0ms

256×

valid

Compiler

Compiled 650 to 339 computations (47.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 327.0ms

ival-div: 181.0ms (55.3% of total)

ival-add: 64.0ms (19.5% of total)

ival-mult: 44.0ms (13.4% of total)

ival-sub: 22.0ms (6.7% of total)

const: 16.0ms (4.9% of total)

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

series28.0ms (0.2%)

Counts

19 → 228

Calls

Call 1

Inputs
#<alt (/ 1 (/ 2 x))>
#<alt (/ x (+ (/ 1 (/ 2 x)) 2))>
#<alt (+ (/ 1 (/ 2 x)) 2)>
#<alt (/ 2 x)>
#<alt (/ (+ 4 (* x (- (* x 1/4) 1))) (+ (/ (* x (* x x)) 8) 8))>
#<alt (* x (* x x))>
#<alt (/ 1 (/ (+ 4 (* x (- (* x 1/4) 1))) (+ (/ (* x (* x x)) 8) 8)))>
#<alt (/ x (/ 1 (/ (+ 4 (* x (- (* x 1/4) 1))) (+ (/ (* x (* x x)) 8) 8))))>
#<alt (/ (* (/ x (+ (/ x (/ 4 x)) -4)) (+ (/ (* x (* x x)) 8) -8)) (+ (/ 1 (/ 4 (* x x))) (+ 4 x)))>
#<alt (/ x (+ (/ x (/ 4 x)) -4))>
#<alt (* (/ x (+ (/ x (/ 4 x)) -4)) (+ (/ (* x (* x x)) 8) -8))>
#<alt (/ 1 (/ 4 (* x x)))>
#<alt (/ (+ (* (* (* x x) (* x x)) 1/16) (- 16 (/ -4 (/ 4 (* x x))))) (+ (/ (* x (* x x)) (/ 64 (* x (* x x)))) -64))>
#<alt (/ (* (/ x (/ 1 (/ (+ (* (* (* x x) (* x x)) 1/16) (- 16 (/ -4 (/ 4 (* x x))))) (+ (/ (* x (* x x)) (/ 64 (* x (* x x)))) -64)))) (+ (/ (* x (* x x)) 8) -8)) (+ (/ x (/ 4 x)) (+ 4 x)))>
#<alt (/ x (/ 1 (/ (+ (* (* (* x x) (* x x)) 1/16) (- 16 (/ -4 (/ 4 (* x x))))) (+ (/ (* x (* x x)) (/ 64 (* x (* x x)))) -64))))>
#<alt (* (/ x (/ 1 (/ (+ (* (* (* x x) (* x x)) 1/16) (- 16 (/ -4 (/ 4 (* x x))))) (+ (/ (* x (* x x)) (/ 64 (* x (* x x)))) -64)))) (+ (/ (* x (* x x)) 8) -8))>
#<alt (+ 4 (* x (- (* x 1/4) 1)))>
#<alt (+ (/ 1 (/ 4 (* x x))) (+ 4 x))>
#<alt (/ 1 (/ (+ (* (* (* x x) (* x x)) 1/16) (- 16 (/ -4 (/ 4 (* x x))))) (+ (/ (* x (* x x)) (/ 64 (* x (* x x)))) -64)))>

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

Calls

57 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ (* (/ x (/ 1 (/ (+ (* (* (* x x) (* x x)) 1/16) (- 16 (/ -4 (/ 4 (* x x))))) (+ (/ (* x (* x x)) (/ 64 (* x (* x x)))) -64)))) (+ (/ (* x (* x x)) 8) -8)) (+ (/ x (/ 4 x)) (+ 4 x)))
1.0ms	x	@	inf	(/ 1 (/ (+ (* (* (* x x) (* x x)) 1/16) (- 16 (/ -4 (/ 4 (* x x))))) (+ (/ (* x (* x x)) (/ 64 (* x (* x x)))) -64)))
1.0ms	x	@	0	(/ 1 (/ (+ 4 (* x (- (* x 1/4) 1))) (+ (/ (* x (* x x)) 8) 8)))
0.0ms	x	@	inf	(/ (+ (* (* (* x x) (* x x)) 1/16) (- 16 (/ -4 (/ 4 (* x x))))) (+ (/ (* x (* x x)) (/ 64 (* x (* x x)))) -64))
0.0ms	x	@	0	(/ 1 (/ (+ (* (* (* x x) (* x x)) 1/16) (- 16 (/ -4 (/ 4 (* x x))))) (+ (/ (* x (* x x)) (/ 64 (* x (* x x)))) -64)))

rewrite535.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

5134×	`accelerator-lowering-fma.f32`
5134×	`accelerator-lowering-fma.f64`
4168×	`/-lowering-/.f32`
4168×	`/-lowering-/.f64`
3494×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	263
1	404	219
2	3860	219
0	8906	191

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 924

Calls

Call 1

Inputs
(/ 1 (/ 2 x))
(/ x (+ (/ 1 (/ 2 x)) 2))
(+ (/ 1 (/ 2 x)) 2)
(/ 2 x)
(/ (+ 4 (* x (- (* x 1/4) 1))) (+ (/ (* x (* x x)) 8) 8))
(* x (* x x))
(/ 1 (/ (+ 4 (* x (- (* x 1/4) 1))) (+ (/ (* x (* x x)) 8) 8)))
(/ x (/ 1 (/ (+ 4 (* x (- (* x 1/4) 1))) (+ (/ (* x (* x x)) 8) 8))))
(/ (* (/ x (+ (/ x (/ 4 x)) -4)) (+ (/ (* x (* x x)) 8) -8)) (+ (/ 1 (/ 4 (* x x))) (+ 4 x)))
(/ x (+ (/ x (/ 4 x)) -4))
(* (/ x (+ (/ x (/ 4 x)) -4)) (+ (/ (* x (* x x)) 8) -8))
(/ 1 (/ 4 (* x x)))
(/ (+ (* (* (* x x) (* x x)) 1/16) (- 16 (/ -4 (/ 4 (* x x))))) (+ (/ (* x (* x x)) (/ 64 (* x (* x x)))) -64))
(/ (* (/ x (/ 1 (/ (+ (* (* (* x x) (* x x)) 1/16) (- 16 (/ -4 (/ 4 (* x x))))) (+ (/ (* x (* x x)) (/ 64 (* x (* x x)))) -64)))) (+ (/ (* x (* x x)) 8) -8)) (+ (/ x (/ 4 x)) (+ 4 x)))
(/ x (/ 1 (/ (+ (* (* (* x x) (* x x)) 1/16) (- 16 (/ -4 (/ 4 (* x x))))) (+ (/ (* x (* x x)) (/ 64 (* x (* x x)))) -64))))
(* (/ x (/ 1 (/ (+ (* (* (* x x) (* x x)) 1/16) (- 16 (/ -4 (/ 4 (* x x))))) (+ (/ (* x (* x x)) (/ 64 (* x (* x x)))) -64)))) (+ (/ (* x (* x x)) 8) -8))
(+ 4 (* x (- (* x 1/4) 1)))
(+ (/ 1 (/ 4 (* x x))) (+ 4 x))
(/ 1 (/ (+ (* (* (* x x) (* x x)) 1/16) (- 16 (/ -4 (/ 4 (* x x))))) (+ (/ (* x (* x x)) (/ 64 (* x (* x x)))) -64)))

Outputs
(exp.f64 (log.f64 (/.f64 x #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal -1/2 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 x #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(/.f64 (neg.f64 x) #s(literal -2 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
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(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1/4096 binary64)) #s(literal -4096 binary64)))) (neg.f64 (.f64 (-.f64 #s(literal 16 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 x (/.f64 #s(literal 4 binary64) x))) (/.f64 #s(literal 4 binary64) (.f64 x x)))) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 64 binary64)) #s(literal 64 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 16 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/16 binary64))))) (neg.f64 (-.f64 #s(literal -4 binary64) (/.f64 x (/.f64 #s(literal 4 binary64) x)))))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 x (/.f64 #s(literal 4 binary64) x))) (/.f64 #s(literal 4 binary64) (.f64 x x))))) (+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 262144 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) #s(literal -262144 binary64)))) (neg.f64 (+.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1/4096 binary64)) (+.f64 #s(literal 4096 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))))))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 x (/.f64 #s(literal 4 binary64) x))) (/.f64 #s(literal 4 binary64) (.f64 x x))))) (+.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1/4096 binary64)) #s(literal -4096 binary64)))) (neg.f64 (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 64 binary64)) #s(literal 64 binary64))))
(pow.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) #s(literal -4 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) #s(literal -4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 x (/.f64 #s(literal 4 binary64) x))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/16 binary64))) #s(literal -16 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) #s(literal -4 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) #s(literal -4 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) #s(literal -4 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) #s(literal -4 binary64)))
(*.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) #s(literal -4 binary64)) #s(literal 1 binary64))
(.f64 (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 64 binary64)) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 x (/.f64 #s(literal 4 binary64) x))) (/.f64 #s(literal 4 binary64) (*.f64 x x))))))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 4 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)))))
(.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 1/16 binary64))) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (/.f64 x (/.f64 #s(literal 4 binary64) x)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 x (/.f64 #s(literal 4 binary64) x))) (/.f64 #s(literal 4 binary64) (.f64 x x))))) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 64 binary64)) #s(literal -64 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 x (/.f64 #s(literal 4 binary64) x))) (/.f64 #s(literal 4 binary64) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 64 binary64)) #s(literal -64 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 x (/.f64 #s(literal 4 binary64) x))) (/.f64 #s(literal 4 binary64) (.f64 x x))))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 64 binary64)) #s(literal -64 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 64 binary64)) #s(literal -64 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 x (/.f64 #s(literal 4 binary64) x))) (/.f64 #s(literal 4 binary64) (*.f64 x x))))))
(*.f64 (pow.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) #s(literal -4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) #s(literal -4 binary64)) #s(literal 1/2 binary64)))
(.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 64 binary64)) #s(literal -64 binary64)) (+.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1/4096 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal 16 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal 16 binary64)) (+.f64 (.f64 x x) #s(literal 16 binary64)))))) (+.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/256 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal 16 binary64)) (-.f64 (+.f64 (.f64 x x) #s(literal 16 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/16 binary64)))))))
(.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 64 binary64)) #s(literal -64 binary64)) (.f64 (-.f64 #s(literal 16 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 x (/.f64 #s(literal 4 binary64) x))) (/.f64 #s(literal 4 binary64) (.f64 x x)))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/16 binary64))) (+.f64 (.f64 x x) #s(literal 16 binary64))))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/16 binary64))) (+.f64 (.f64 x x) #s(literal 16 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 16 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 x (/.f64 #s(literal 4 binary64) x))) (/.f64 #s(literal 4 binary64) (.f64 x x)))))) (+.f64 #s(literal 64 binary64) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 64 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 16 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 x (/.f64 #s(literal 4 binary64) x))) (/.f64 #s(literal 4 binary64) (.f64 x x)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64 binary64) (neg.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 64 binary64))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 1/16 binary64))) #s(literal -16 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (/.f64 x (/.f64 #s(literal 4 binary64) x)))))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 16 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 x (/.f64 #s(literal 4 binary64) x))) (/.f64 #s(literal 4 binary64) (.f64 x x)))) (+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 262144 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) #s(literal -262144 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1/4096 binary64)) (+.f64 #s(literal 4096 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))))))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 16 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 x (/.f64 #s(literal 4 binary64) x))) (/.f64 #s(literal 4 binary64) (.f64 x x)))) (+.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 1/4096 binary64)) #s(literal -4096 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 64 binary64)) #s(literal 64 binary64))))

simplify693.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

14040×	`accelerator-lowering-fma.f32`
14040×	`accelerator-lowering-fma.f64`
3720×	`-lowering-.f32`
3720×	`-lowering-.f64`
2794×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	211	1803
1	598	1762
2	1455	1672
3	4156	1654
0	8097	1527

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/8 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(* x (+ 1/2 (* x (- (* 1/32 x) 1/8))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/32 binary64))))))
(* x (+ 1/2 (* x (- (* x (+ 1/32 (* -1/128 x))) 1/8))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (+.f64 #s(literal 1/32 binary64) (.f64 x #s(literal -1/128 binary64))))))))
2
#s(literal 2 binary64)
(- 2 (* 8 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -8 binary64) x))
(- (+ 2 (/ 32 (pow x 2))) (* 8 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 32 binary64) x) #s(literal -8 binary64)) x))
(- (+ 2 (/ 32 (pow x 2))) (+ (* 8 (/ 1 x)) (* 128 (/ 1 (pow x 3)))))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 32 binary64) (/.f64 #s(literal 128 binary64) x)) x) #s(literal -8 binary64)) x))
2
#s(literal 2 binary64)
(- 2 (* 8 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -8 binary64) x))
(+ 2 (* -1 (/ (- 8 (* 32 (/ 1 x))) x)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 32 binary64) x) #s(literal -8 binary64)) x))
(+ 2 (* -1 (/ (+ 8 (* -1 (/ (- 32 (* 128 (/ 1 x))) x))) x)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 32 binary64) (/.f64 #s(literal 128 binary64) x)) x) #s(literal -8 binary64)) x))
2
#s(literal 2 binary64)
(+ 2 (* 1/2 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(+ 2 (* 1/2 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(+ 2 (* 1/2 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 2 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* x (+ 1/2 (* 2 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* x (+ 1/2 (* 2 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 2 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* x (+ 1/2 (* 2 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* x (+ 1/2 (* 2 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/8 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/8 binary64)))
(+ 1/2 (* x (- (* 1/32 x) 1/8)))
(+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x #s(literal 1/32 binary64)))))
(+ 1/2 (* x (- (* x (+ 1/32 (* -1/128 x))) 1/8)))
(+.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 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 8 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -8 binary64) x)) x)
(/ (- (+ 2 (/ 32 (pow x 2))) (* 8 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 32 binary64) x) #s(literal -8 binary64)) x)) x)
(/ (- (+ 2 (/ 32 (pow x 2))) (+ (* 8 (/ 1 x)) (* 128 (/ 1 (pow x 3))))) x)
(/.f64 (+.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)) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* -1 (/ (- (* 8 (/ 1 x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -8 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 32 (/ 1 x)) 8) x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 32 binary64) x) #s(literal -8 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 128 (/ 1 x)) 32) x)) 8) x)) 2) x))
(/.f64 (+.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)) x)
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
2
#s(literal 2 binary64)
(+ 2 (* 1/2 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(+ 2 (* 1/2 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(+ 2 (* 1/2 x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 2 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* x (+ 1/2 (* 2 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* x (+ 1/2 (* 2 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 2 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* x (+ 1/2 (* 2 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* x (+ 1/2 (* 2 (/ 1 x))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/8 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(* x (+ 1/2 (* x (- (* 1/32 x) 1/8))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/32 binary64))))))
(* x (+ 1/2 (* x (- (* x (+ 1/32 (* -1/128 x))) 1/8))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (+.f64 #s(literal 1/32 binary64) (.f64 x #s(literal -1/128 binary64))))))))
2
#s(literal 2 binary64)
(- 2 (* 8 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -8 binary64) x))
(- (+ 2 (/ 32 (pow x 2))) (* 8 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 32 binary64) x) #s(literal -8 binary64)) x))
(- (+ 2 (/ 32 (pow x 2))) (+ (* 8 (/ 1 x)) (* 128 (/ 1 (pow x 3)))))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 32 binary64) (/.f64 #s(literal 128 binary64) x)) x) #s(literal -8 binary64)) x))
2
#s(literal 2 binary64)
(- 2 (* 8 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -8 binary64) x))
(+ 2 (* -1 (/ (- 8 (* 32 (/ 1 x))) x)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 32 binary64) x) #s(literal -8 binary64)) x))
(+ 2 (* -1 (/ (+ 8 (* -1 (/ (- 32 (* 128 (/ 1 x))) x))) x)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 32 binary64) (/.f64 #s(literal 128 binary64) x)) x) #s(literal -8 binary64)) x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/8 x)))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64))))
(* x (+ 1/2 (* x (- (* 1/32 x) 1/8))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal 1/32 binary64))))))
(* x (+ 1/2 (* x (- (* x (+ 1/32 (* -1/128 x))) 1/8))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (+.f64 #s(literal 1/32 binary64) (.f64 x #s(literal -1/128 binary64))))))))
2
#s(literal 2 binary64)
(- 2 (* 8 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -8 binary64) x))
(- (+ 2 (/ 32 (pow x 2))) (* 8 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 32 binary64) x) #s(literal -8 binary64)) x))
(- (+ 2 (/ 32 (pow x 2))) (+ (* 8 (/ 1 x)) (* 128 (/ 1 (pow x 3)))))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 32 binary64) (/.f64 #s(literal 128 binary64) x)) x) #s(literal -8 binary64)) x))
2
#s(literal 2 binary64)
(- 2 (* 8 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -8 binary64) x))
(+ 2 (* -1 (/ (- 8 (* 32 (/ 1 x))) x)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 32 binary64) x) #s(literal -8 binary64)) x))
(+ 2 (* -1 (/ (+ 8 (* -1 (/ (- 32 (* 128 (/ 1 x))) x))) x)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 32 binary64) (/.f64 #s(literal 128 binary64) x)) x) #s(literal -8 binary64)) x))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* x (- (* -1/64 (pow x 2)) 1/4))
(.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/64 binary64))))
(* x (- (* (pow x 2) (- (* -1/1024 (pow x 2)) 1/64)) 1/4))
(.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/64 binary64) (.f64 x (*.f64 x #s(literal -1/1024 binary64)))))))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/16384 (pow x 2)) 1/1024)) 1/64)) 1/4))
(.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/1024 binary64) (.f64 (*.f64 x x) #s(literal -1/16384 binary64)))))))))
(/ 4 x)
(/.f64 #s(literal 4 binary64) x)
(/ (+ 4 (* 64 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 64 binary64) (*.f64 x x))) x)
(/ (+ 4 (+ (* 64 (/ 1 (pow x 2))) (/ 1024 (pow x 4)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 64 binary64) (.f64 x x)) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 1024 binary64) (.f64 x (.f64 x (.f64 x x)))))) x)
(/ (+ 4 (+ (* 64 (/ 1 (pow x 2))) (+ (* 16384 (/ 1 (pow x 6))) (/ 1024 (pow x 4))))) x)
(/.f64 (+.f64 #s(literal 4 binary64) (+.f64 (+.f64 (/.f64 #s(literal 64 binary64) (.f64 x x)) (/.f64 #s(literal 1024 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 16384 binary64) (pow.f64 x #s(literal 6 binary64))))) x)
(/ 4 x)
(/.f64 #s(literal 4 binary64) x)
(/ (+ 4 (* 64 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 64 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 64 (* 1024 (/ 1 (pow x 2)))) (pow x 2))) 4) x))
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 64 binary64) (/.f64 #s(literal 1024 binary64) (.f64 x x))) (.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 1024 (* 16384 (/ 1 (pow x 2)))) (pow x 4))) (+ 4 (* 64 (/ 1 (pow x 2))))) x))
(/.f64 (+.f64 (/.f64 #s(literal 64 binary64) (.f64 x x)) (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 1024 binary64) (/.f64 #s(literal 16384 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))) x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/8 (pow x 2))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(* x (+ 2 (* (pow x 2) (+ 1/8 (* -1/32 x)))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal -1/32 binary64))))))
(* x (+ 2 (* (pow x 2) (+ 1/8 (* x (- (* 1/128 x) 1/32))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 x (+.f64 #s(literal -1/32 binary64) (*.f64 x #s(literal 1/128 binary64))))))))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2 (* 8 (/ 1 (pow x 2)))))
(+.f64 #s(literal 8 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(* (pow x 2) (- (+ 1/2 (* 8 (/ 1 (pow x 2)))) (/ 32 (pow x 3))))
(+.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -32 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(* (pow x 2) (- (+ 1/2 (+ (* 8 (/ 1 (pow x 2))) (* 128 (/ 1 (pow x 4))))) (/ 32 (pow x 3))))
(+.f64 (-.f64 #s(literal 8 binary64) (/.f64 (-.f64 #s(literal 32 binary64) (/.f64 #s(literal 128 binary64) x)) x)) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2 (* 8 (/ 1 (pow x 2)))))
(+.f64 #s(literal 8 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(* (pow x 2) (- (+ 1/2 (* 8 (/ 1 (pow x 2)))) (/ 32 (pow x 3))))
(+.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -32 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (- 32 (* 128 (/ 1 x))) (pow x 3))) (* 8 (/ 1 (pow x 2))))))
(+.f64 (-.f64 #s(literal 8 binary64) (/.f64 (-.f64 #s(literal 32 binary64) (/.f64 #s(literal 128 binary64) x)) x)) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
-1/4
#s(literal -1/4 binary64)
(- (* -1/64 (pow x 2)) 1/4)
(+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/64 binary64)))
(- (* (pow x 2) (- (* -1/1024 (pow x 2)) 1/64)) 1/4)
(+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x #s(literal -1/1024 binary64))))))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/16384 (pow x 2)) 1/1024)) 1/64)) 1/4)
(+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/1024 binary64) (.f64 (.f64 x x) #s(literal -1/16384 binary64))))))))
(/ 4 (pow x 2))
(/.f64 #s(literal 4 binary64) (*.f64 x x))
(/ (+ 4 (* 64 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 64 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 4 (+ (* 64 (/ 1 (pow x 2))) (/ 1024 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 64 binary64) (.f64 x x)) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 1024 binary64) (.f64 x (.f64 x (.f64 x x)))))) (*.f64 x x))
(/ (+ 4 (+ (* 64 (/ 1 (pow x 2))) (+ (* 16384 (/ 1 (pow x 6))) (/ 1024 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 #s(literal 4 binary64) (+.f64 (+.f64 (/.f64 #s(literal 64 binary64) (.f64 x x)) (/.f64 #s(literal 1024 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 16384 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))
(/ 4 (pow x 2))
(/.f64 #s(literal 4 binary64) (*.f64 x x))
(/ (+ 4 (* 64 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 64 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 4 (+ (* 64 (/ 1 (pow x 2))) (/ 1024 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 64 binary64) (.f64 x x)) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 1024 binary64) (.f64 x (.f64 x (.f64 x x)))))) (*.f64 x x))
(/ (+ 4 (+ (* 64 (/ 1 (pow x 2))) (+ (* 16384 (/ 1 (pow x 6))) (/ 1024 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 #s(literal 4 binary64) (+.f64 (+.f64 (/.f64 #s(literal 64 binary64) (.f64 x x)) (/.f64 #s(literal 1024 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 16384 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.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 (/.f64 #s(literal 32 binary64) x) #s(literal -8 binary64)) x))
(- (+ 2 (/ 32 (pow x 2))) (+ (* 8 (/ 1 x)) (* 128 (/ 1 (pow x 3)))))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 32 binary64) (/.f64 #s(literal 128 binary64) x)) x) #s(literal -8 binary64)) x))
2
#s(literal 2 binary64)
(- 2 (* 8 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -8 binary64) x))
(+ 2 (* -1 (/ (- 8 (* 32 (/ 1 x))) x)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 32 binary64) x) #s(literal -8 binary64)) x))
(+ 2 (* -1 (/ (+ 8 (* -1 (/ (- 32 (* 128 (/ 1 x))) x))) x)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 32 binary64) (/.f64 #s(literal 128 binary64) x)) x) #s(literal -8 binary64)) x))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* x (- (* -1/64 (pow x 2)) 1/4))
(.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/64 binary64))))
(* x (- (* (pow x 2) (- (* -1/1024 (pow x 2)) 1/64)) 1/4))
(.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/64 binary64) (.f64 x (*.f64 x #s(literal -1/1024 binary64)))))))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/16384 (pow x 2)) 1/1024)) 1/64)) 1/4))
(.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/64 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/1024 binary64) (.f64 (*.f64 x x) #s(literal -1/16384 binary64)))))))))
(/ 4 x)
(/.f64 #s(literal 4 binary64) x)
(/ (+ 4 (* 64 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 64 binary64) (*.f64 x x))) x)
(/ (+ 4 (+ (* 64 (/ 1 (pow x 2))) (/ 1024 (pow x 4)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 64 binary64) (.f64 x x)) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 1024 binary64) (.f64 x (.f64 x (.f64 x x)))))) x)
(/ (+ 4 (+ (* 64 (/ 1 (pow x 2))) (+ (* 16384 (/ 1 (pow x 6))) (/ 1024 (pow x 4))))) x)
(/.f64 (+.f64 #s(literal 4 binary64) (+.f64 (+.f64 (/.f64 #s(literal 64 binary64) (.f64 x x)) (/.f64 #s(literal 1024 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 16384 binary64) (pow.f64 x #s(literal 6 binary64))))) x)
(/ 4 x)
(/.f64 #s(literal 4 binary64) x)
(/ (+ 4 (* 64 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 64 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 64 (* 1024 (/ 1 (pow x 2)))) (pow x 2))) 4) x))
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 64 binary64) (/.f64 #s(literal 1024 binary64) (.f64 x x))) (.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 1024 (* 16384 (/ 1 (pow x 2)))) (pow x 4))) (+ 4 (* 64 (/ 1 (pow x 2))))) x))
(/.f64 (+.f64 (/.f64 #s(literal 64 binary64) (.f64 x x)) (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 1024 binary64) (/.f64 #s(literal 16384 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))) x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/8 (pow x 2))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(* x (+ 2 (* (pow x 2) (+ 1/8 (* -1/32 x)))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal -1/32 binary64))))))
(* x (+ 2 (* (pow x 2) (+ 1/8 (* x (- (* 1/128 x) 1/32))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 x (+.f64 #s(literal -1/32 binary64) (*.f64 x #s(literal 1/128 binary64))))))))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2 (* 8 (/ 1 (pow x 2)))))
(+.f64 #s(literal 8 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(* (pow x 2) (- (+ 1/2 (* 8 (/ 1 (pow x 2)))) (/ 32 (pow x 3))))
(+.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -32 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(* (pow x 2) (- (+ 1/2 (+ (* 8 (/ 1 (pow x 2))) (* 128 (/ 1 (pow x 4))))) (/ 32 (pow x 3))))
(+.f64 (-.f64 #s(literal 8 binary64) (/.f64 (-.f64 #s(literal 32 binary64) (/.f64 #s(literal 128 binary64) x)) x)) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(* 1/2 (pow x 2))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(* (pow x 2) (+ 1/2 (* 8 (/ 1 (pow x 2)))))
(+.f64 #s(literal 8 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(* (pow x 2) (- (+ 1/2 (* 8 (/ 1 (pow x 2)))) (/ 32 (pow x 3))))
(+.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -32 binary64) x)) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (- 32 (* 128 (/ 1 x))) (pow x 3))) (* 8 (/ 1 (pow x 2))))))
(+.f64 (-.f64 #s(literal 8 binary64) (/.f64 (-.f64 #s(literal 32 binary64) (/.f64 #s(literal 128 binary64) x)) x)) (.f64 #s(literal 1/2 binary64) (.f64 x x)))
4
#s(literal 4 binary64)
(+ 4 (* -1 x))
(-.f64 #s(literal 4 binary64) x)
(+ 4 (* x (- (* 1/4 x) 1)))
(+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/4 binary64)))))
(+ 4 (* x (- (* 1/4 x) 1)))
(+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/4 binary64)))))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* (pow x 2) (- 1/4 (/ 1 x)))
(.f64 x (+.f64 #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 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 #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)))))
4
#s(literal 4 binary64)
(+ 4 x)
(+.f64 x #s(literal 4 binary64))
(+ 4 (* x (+ 1 (* 1/4 x))))
(+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64)))))
(+ 4 (* x (+ 1 (* 1/4 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 x (.f64 x #s(literal 1/4 binary64)))
(* (pow x 2) (+ 1/4 (/ 1 x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64))))
(* (pow x 2) (+ 1/4 (+ (/ 1 x) (/ 4 (pow x 2)))))
(+.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 x) (/ 4 (pow x 2)))))
(+.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 (+ (/ 1 x) (/ 4 (pow x 2)))))
(+.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 x) (/ 4 (pow x 2)))))
(+.f64 #s(literal 4 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/4 binary64)))))
-4
#s(literal -4 binary64)
(- (* 1/4 (pow x 2)) 4)
(+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) #s(literal -4 binary64))
(- (* 1/4 (pow x 2)) 4)
(+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) #s(literal -4 binary64))
(- (* 1/4 (pow x 2)) 4)
(+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) #s(literal -4 binary64))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* (pow x 2) (- 1/4 (* 4 (/ 1 (pow x 2)))))
(+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) #s(literal -4 binary64))
(* (pow x 2) (- 1/4 (* 4 (/ 1 (pow x 2)))))
(+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) #s(literal -4 binary64))
(* (pow x 2) (- 1/4 (* 4 (/ 1 (pow x 2)))))
(+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) #s(literal -4 binary64))
(* 1/4 (pow x 2))
(.f64 x (.f64 x #s(literal 1/4 binary64)))
(* (pow x 2) (- 1/4 (* 4 (/ 1 (pow x 2)))))
(+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) #s(literal -4 binary64))
(* (pow x 2) (- 1/4 (* 4 (/ 1 (pow x 2)))))
(+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) #s(literal -4 binary64))
(* (pow x 2) (- 1/4 (* 4 (/ 1 (pow x 2)))))
(+.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) #s(literal -4 binary64))

eval541.0ms (4.5%)

Compiler: Compiled 49941 to 29729 computations (40.5% saved)

prune266.0ms (2.2%)

Pruning

34 alts after pruning (24 fresh and 10 done)

	Pruned	Kept	Total
New	1382	8	1390
Fresh	3	16	19
Picked	3	2	5
Done	0	8	8
Total	1388	34	1422

Accuracy

100.0%

Counts

1422 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.4%	(/.f64 (/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 64 binary64)) #s(literal -64 binary64)) x) (.f64 (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) #s(literal -4 binary64)))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 #s(literal 4 binary64) x)))
	70.8%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))
✓	69.4%	(/.f64 (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/16 binary64)) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x))))) (+.f64 (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 64 binary64) (.f64 x (.f64 x x)))) #s(literal -64 binary64))))) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 #s(literal 4 binary64) x)))
	69.6%	(/.f64 (.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 x (/.f64 #s(literal 4 binary64) x))) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/16 binary64)) #s(literal -16 binary64))))) (+.f64 (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 #s(literal 4 binary64) x)))
	70.0%	(/.f64 (.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) #s(literal -4 binary64))) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x))) (+.f64 #s(literal 4 binary64) x)))
	3.6%	(/.f64 (.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) #s(literal -4 binary64))) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64))) (.f64 x (*.f64 x #s(literal 1/4 binary64))))
	70.2%	(/.f64 (*.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) #s(literal -4 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) #s(literal -4 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))))
	2.4%	(/.f64 (.f64 (/.f64 #s(literal 4 binary64) x) (+.f64 (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 #s(literal 4 binary64) x)))
	70.0%	(/.f64 (.f64 x (/.f64 (+.f64 (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 x #s(literal 4 binary64))))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) #s(literal -4 binary64)))
	69.8%	(/.f64 (.f64 x (/.f64 (+.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 x x)) (/.f64 #s(literal 4 binary64) x)) (.f64 (+.f64 x #s(literal 4 binary64)) x)) (.f64 (+.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) x)))) (+.f64 (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64)))
	69.8%	(/.f64 (.f64 x (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (-.f64 #s(literal 4 binary64) x))) (+.f64 (/.f64 (.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) #s(literal 8 binary64)) #s(literal 8 binary64)))
✓	69.8%	(/.f64 (.f64 x (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (-.f64 #s(literal 4 binary64) x))) (+.f64 (/.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64)))
	70.2%	(/.f64 (*.f64 x (+.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) #s(literal -4 binary64)))
	69.8%	(/.f64 (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 4 binary64) x))) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64)))
	5.7%	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x))) (+.f64 #s(literal 4 binary64) x)))
	70.6%	(/.f64 x (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 x (/.f64 #s(literal 4 binary64) x))) (-.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))
	69.3%	(/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 64 binary64) (.f64 (.f64 x (+.f64 (/.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (.f64 (.f64 x (+.f64 (/.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (.f64 x (+.f64 (/.f64 x #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 16 binary64) (.f64 (.f64 x (+.f64 (/.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (-.f64 (*.f64 x (+.f64 (/.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64))))))))
	5.6%	(/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 8 binary64)))))
	4.8%	(/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
	69.9%	(/.f64 x (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)))) (+.f64 #s(literal 4 binary64) (.f64 x (+.f64 (/.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))))))
✓	69.4%	(/.f64 x (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
✓	71.0%	(/.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
✓	35.8%	(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
✓	70.6%	(/.f64 x #s(literal 2 binary64))
✓	70.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
	30.9%	(+.f64 (sqrt.f64 x) #s(literal -1 binary64))
	69.6%	(.f64 (/.f64 (/.f64 (.f64 x (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal -8 binary64))) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/16 binary64)) #s(literal -16 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/16 binary64)) (*.f64 (+.f64 x #s(literal 4 binary64)) (+.f64 x #s(literal 4 binary64))))) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 x (/.f64 #s(literal 4 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 x #s(literal 4 binary64))))))
	69.3%	(.f64 (/.f64 x (+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal 512 binary64)) #s(literal 512 binary64))) (/.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (-.f64 #s(literal 4 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 64 binary64) (.f64 x (.f64 x x)))) (-.f64 #s(literal 64 binary64) (.f64 x (*.f64 x x)))))))
✓	71.0%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) x)
	68.9%	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/8 binary64))) x)
	70.6%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (/.f64 x (/.f64 #s(literal 4 binary64) x)))) (-.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))) x)
✓	31.5%	(sqrt.f64 x)
	35.8%	(neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	4.8%	#s(literal 2 binary64)

Compiler

Compiled 1869 to 1202 computations (35.7% saved)

regimes56.0ms (0.5%)

Counts

46 → 1

Calls

Call 1

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

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

Calls

2 calls:

35.0ms	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 8 computations (27.3% saved)

regimes32.0ms (0.3%)

Counts

44 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

25.0ms

Results

Accuracy	Segments	Branch
100.0%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes34.0ms (0.3%)

Counts

43 → 2

Calls

Call 1

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

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

Calls

1 calls:

23.0ms

Results

Accuracy	Segments	Branch
98.9%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes90.0ms (0.7%)

Counts

41 → 2

Calls

Call 1

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

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

Calls

1 calls:

52.0ms

Results

Accuracy	Segments	Branch
98.1%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes14.0ms (0.1%)

Counts

40 → 1

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
71.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
71.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
70.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (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:

0.0ms

Results

Accuracy	Segments	Branch
4.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	9.937792251945399e-8	8.65891345728924

Results

9.0ms

144×

valid

Compiler

Compiled 211 to 172 computations (18.5% saved)

Precisions

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

ival-add: 3.0ms (56.2% of total)

ival-div: 1.0ms (18.7% of total)

ival-sqrt: 1.0ms (18.7% of total)

const: 0.0ms (0% of total)

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

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	9.937792251945399e-8	8.65891345728924

Results

7.0ms

144×

valid

Compiler

Compiled 184 to 145 computations (21.2% saved)

Precisions

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

ival-add: 2.0ms (50.7% of total)

ival-div: 1.0ms (25.3% of total)

ival-sqrt: 1.0ms (25.3% of total)

const: 0.0ms (0% of total)

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

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	9.937792251945399e-8	8.65891345728924

Results

10.0ms

144×

valid

Compiler

Compiled 166 to 127 computations (23.5% saved)

Precisions

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

ival-add: 2.0ms (49.8% of total)

ival-div: 1.0ms (24.9% of total)

ival-sqrt: 1.0ms (24.9% of total)

const: 0.0ms (0% of total)

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

soundness2.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 87 to 64 computations (26.4% saved)

preprocess68.0ms (0.6%)

Compiler: Compiled 192 to 142 computations (26% saved)

Iter	Nodes	Cost
0	12	29
1	29	25
2	57	24
3	125	24
4	262	24
5	443	24
6	632	24
7	733	24
8	767	24
9	780	24
10	782	24
0	6	8
1	10	8
0	10	8

Iter	Nodes	Cost
0	17	70
1	28	68
2	45	66
3	71	66
4	107	66
5	141	66
6	203	66
7	259	66
8	306	66
9	321	66
10	322	66
0	322	64

Iter	Nodes	Cost
0	12	29
1	29	25
2	57	24
3	125	24
4	262	24
5	443	24
6	632	24
7	733	24
8	767	24
9	780	24
10	782	24
0	6	8
1	10	8
0	10	8

Iter	Nodes	Cost
0	17	70
1	28	68
2	45	66
3	71	66
4	107	66
5	141	66
6	203	66
7	259	66
8	306	66
9	321	66
10	322	66
0	322	64

analyze2.0ms (0%)

sample691.0ms (5.7%)

preprocess24.0ms (0.2%)

explain98.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize53.0ms (0.4%)

series9.0ms (0.1%)

rewrite549.0ms (4.5%)

simplify899.0ms (7.4%)

eval134.0ms (1.1%)

prune114.0ms (0.9%)

localize207.0ms (1.7%)

series21.0ms (0.2%)

rewrite556.0ms (4.6%)

simplify1.0s (8.4%)

eval245.0ms (2%)

prune208.0ms (1.7%)

localize1.3s (10.8%)

series37.0ms (0.3%)

rewrite793.0ms (6.6%)

simplify875.0ms (7.3%)

eval435.0ms (3.6%)

prune222.0ms (1.8%)

localize1.2s (9.6%)

series28.0ms (0.2%)

rewrite535.0ms (4.4%)

simplify693.0ms (5.7%)

eval541.0ms (4.5%)

prune266.0ms (2.2%)

regimes56.0ms (0.5%)

regimes32.0ms (0.3%)

regimes34.0ms (0.3%)

regimes90.0ms (0.7%)

regimes14.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch15.0ms (0.1%)

bsearch14.0ms (0.1%)

bsearch16.0ms (0.1%)

soundness2.0ms (0%)

preprocess68.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	29
1	29	25
2	57	24
3	125	24
4	262	24
5	443	24
6	632	24
7	733	24
8	767	24
9	780	24
10	782	24
0	6	8
1	10	8
0	10	8

Iter	Nodes	Cost
0	17	70
1	28	68
2	45	66
3	71	66
4	107	66
5	141	66
6	203	66
7	259	66
8	306	66
9	321	66
10	322	66
0	322	64