Metrics for 2isqrt (example 3.6)

analyze2.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
0%	0%	25%	75%	0%	0%	0%	1
50%	12.5%	12.5%	75%	0%	0%	0%	2
75%	18.7%	6.2%	75%	0%	0%	0%	3
87.5%	21.9%	3.1%	75%	0%	0%	0%	4
93.8%	23.4%	1.6%	75%	0%	0%	0%	5
96.9%	24.2%	0.8%	75%	0%	0%	0%	6
98.4%	24.6%	0.4%	75%	0%	0%	0%	7
99.2%	24.8%	0.2%	75%	0%	0%	0%	8
99.6%	24.9%	0.1%	75%	0%	0%	0%	9
99.8%	24.9%	0%	75%	0%	0%	0%	10
99.9%	25%	0%	75%	0%	0%	0%	11
100%	25%	0%	75%	0%	0%	0%	12

Compiler

Compiled 19 to 13 computations (31.6% saved)

sample2.0s (19.7%)

Memory

-179.8MiB live, 2 386.6MiB allocated

Samples

1.1s	6 891×	1	valid
264.0ms	1 090×	2	valid
32.0ms	275×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-sqrt: 294.0ms (27.3% of total)

ival-div: 245.0ms (22.7% of total)

adjust: 134.0ms (12.4% of total)

const: 132.0ms (12.2% of total)

ival-add: 82.0ms (7.6% of total)

ival-sub: 81.0ms (7.5% of total)

ival->: 49.0ms (4.5% of total)

ival-and: 22.0ms (2% of total)

ival-<: 21.0ms (1.9% of total)

exact: 13.0ms (1.2% of total)

ival-assert: 6.0ms (0.6% of total)

Bogosity

preprocess32.0ms (0.3%)

Memory

12.4MiB live, 49.9MiB allocated

Algorithm

2×	egg-herbie

Rules

112×	`accelerator-lowering-fma.f32`
112×	`accelerator-lowering-fma.f64`
86×	`sub-neg`
80×	`-lowering-.f32`
80×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	38
1	29	36
2	62	35
3	111	35
4	175	35
5	260	35
6	334	35
7	386	35
8	448	35
9	477	35
10	497	35
11	499	35
0	8	11
1	13	11
2	21	11
3	30	11
4	42	11
5	62	11
6	101	11
7	132	11
8	188	11
9	217	11
10	238	11
11	240	11
0	240	11

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain150.0ms (1.5%)

Memory

-15.6MiB live, 311.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
179	1	(3.372981693836348e+215)	1	(16.278993856075)	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
0	0	-	0	-	`(+.f64 x #s(literal 1 binary64))`
0	0	-	0	-	`(sqrt.f64 x)`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) (sqrt.f64 x))`
0	0	-	0	-	`(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(sqrt.f64 (+.f64 x #s(literal 1 binary64)))`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`	cancellation	179	1

Confusion

	Predicted +	Predicted -
+	178	0
-	1	77

Precision

0.994413407821229

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	178	0	0
-	1	1	76

Precision?

0.9888888888888889

Recall?

1.0

Freqs

test

number	freq
0	77
1	179

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

59.0ms	412×	1	valid
14.0ms	72×	2	valid
2.0ms	28×	0	valid

Compiler

Compiled 92 to 36 computations (60.9% saved)

Precisions

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

ival-sqrt: 15.0ms (31.3% of total)

ival-div: 14.0ms (29.2% of total)

adjust: 8.0ms (16.7% of total)

ival-sub: 5.0ms (10.4% of total)

ival-add: 5.0ms (10.4% of total)

exact: 1.0ms (2.1% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	39.2%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify11.0ms (0.1%)

Memory

19.2MiB live, 19.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

112×	`accelerator-lowering-fma.f32`
112×	`accelerator-lowering-fma.f64`
80×	`-lowering-.f32`
80×	`-lowering-.f64`
52×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	13	32
2	21	32
3	30	32
4	42	32
5	62	32
6	101	32
7	132	32
8	188	32
9	217	32
10	238	32
11	240	32
0	240	32

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize48.0ms (0.5%)

Memory

10.9MiB live, 89.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
✓	accuracy	39.2%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Samples

28.0ms	206×	1	valid
7.0ms	36×	2	valid
1.0ms	14×	0	valid

Compiler

Compiled 34 to 10 computations (70.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-sqrt: 10.0ms (39.1% of total)

ival-div: 7.0ms (27.4% of total)

adjust: 4.0ms (15.6% of total)

ival-sub: 2.0ms (7.8% of total)

ival-add: 2.0ms (7.8% of total)

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

exact: 0.0ms (0% of total)

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

series35.0ms (0.3%)

Memory

-30.7MiB live, 10.1MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#s(alt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (/ 1 (sqrt x)) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (/ 1 (sqrt (+ x 1))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt (+ x 1)) (patch (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())

Outputs
#s(alt (sqrt (/ 1 x)) (taylor 0 x) (#s(alt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (sqrt x) (* -1 x)) x) (taylor 0 x) (#s(alt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x) (taylor 0 x) (#s(alt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x) (taylor 0 x) (#s(alt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (sqrt (/ 1 (pow x 3)))) (taylor inf x) (#s(alt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2)) (taylor inf x) (#s(alt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2)) (taylor inf x) (#s(alt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2)) (taylor inf x) (#s(alt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 x)) (taylor 0 x) (#s(alt (/ 1 (sqrt x)) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 x)) (taylor 0 x) (#s(alt (/ 1 (sqrt x)) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 x)) (taylor 0 x) (#s(alt (/ 1 (sqrt x)) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 x)) (taylor 0 x) (#s(alt (/ 1 (sqrt x)) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 x)) (taylor inf x) (#s(alt (/ 1 (sqrt x)) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 x)) (taylor inf x) (#s(alt (/ 1 (sqrt x)) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 x)) (taylor inf x) (#s(alt (/ 1 (sqrt x)) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 x)) (taylor inf x) (#s(alt (/ 1 (sqrt x)) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 x)) (taylor -inf x) (#s(alt (/ 1 (sqrt x)) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 x)) (taylor -inf x) (#s(alt (/ 1 (sqrt x)) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 x)) (taylor -inf x) (#s(alt (/ 1 (sqrt x)) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 x)) (taylor -inf x) (#s(alt (/ 1 (sqrt x)) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/ 1 (sqrt (+ x 1))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 x)) (taylor 0 x) (#s(alt (/ 1 (sqrt (+ x 1))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* 3/8 x) 1/2))) (taylor 0 x) (#s(alt (/ 1 (sqrt (+ x 1))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2))) (taylor 0 x) (#s(alt (/ 1 (sqrt (+ x 1))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 x)) (taylor inf x) (#s(alt (/ 1 (sqrt (+ x 1))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))) (taylor inf x) (#s(alt (/ 1 (sqrt (+ x 1))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))) (taylor inf x) (#s(alt (/ 1 (sqrt (+ x 1))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) (taylor inf x) (#s(alt (/ 1 (sqrt (+ x 1))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (/ 1 (sqrt (+ x 1))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (/ 1 (sqrt (+ x 1))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (/ 1 (sqrt (+ x 1))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (/ 1 (sqrt (+ x 1))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (sqrt (+ x 1)) (patch (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 x)) (taylor 0 x) (#s(alt (sqrt (+ x 1)) (patch (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/2 (* -1/8 x)))) (taylor 0 x) (#s(alt (sqrt (+ x 1)) (patch (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (taylor 0 x) (#s(alt (sqrt (+ x 1)) (patch (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt (+ x 1)) (patch (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (taylor inf x) (#s(alt (sqrt (+ x 1)) (patch (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (taylor inf x) (#s(alt (sqrt (+ x 1)) (patch (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor inf x) (#s(alt (sqrt (+ x 1)) (patch (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt (+ x 1)) (patch (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (taylor -inf x) (#s(alt (sqrt (+ x 1)) (patch (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor -inf x) (#s(alt (sqrt (+ x 1)) (patch (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf x) (#s(alt (sqrt (+ x 1)) (patch (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())

Calls

15 calls:

Time	Variable		Point	Expression
28.0ms	x	@	0	(sqrt (+ x 1))
1.0ms	x	@	-inf	(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
1.0ms	x	@	inf	(- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))
1.0ms	x	@	-inf	(/ 1 (sqrt (+ x 1)))
1.0ms	x	@	-inf	(sqrt (+ x 1))

rewrite253.0ms (2.5%)

Memory

35.8MiB live, 347.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 400×	`accelerator-lowering-fma.f32`
4 400×	`accelerator-lowering-fma.f64`
3 040×	`-lowering-.f32`
3 040×	`-lowering-.f64`
2 738×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	60	23
2	558	23
3	6710	23
0	8104	23

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 285

Calls

Call 1

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

Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.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) (sqrt.f64 x)))
(+.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))) (neg.f64 (sqrt.f64 (/.f64 x (fma.f64 x x x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x))) (.f64 x (sqrt.f64 x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x))) (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))))))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.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 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))) (sqrt.f64 (/.f64 x (fma.f64 x x x))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x))) (.f64 x (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x))) (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) x)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) x))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))) (neg.f64 (sqrt.f64 (/.f64 x (fma.f64 x x x)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x))) (.f64 x (sqrt.f64 x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x))) (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (/.f64 x (fma.f64 x x x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x))) (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (neg.f64 (sqrt.f64 (/.f64 x (fma.f64 x x x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (/.f64 x (fma.f64 x x x)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (sqrt.f64 (fma.f64 x x x))) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x))) (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 x x x))) (neg.f64 (sqrt.f64 (/.f64 x (fma.f64 x x x)))))
(fma.f64 (pow.f64 x #s(literal -3/4 binary64)) (/.f64 (pow.f64 x #s(literal -3/4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x))) (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (/.f64 x (fma.f64 x x x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (/.f64 x (fma.f64 x x x)))))
(fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (/.f64 x (fma.f64 x x x)))))
(fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 x)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (/.f64 x (fma.f64 x x x)))))
(fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) (/.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)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 x)))) (neg.f64 (sqrt.f64 (fma.f64 x x x))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))))) (-.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) x)))))
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simplify436.0ms (4.2%)

Memory

6.6MiB live, 521.2MiB allocated

Algorithm

1×	egg-herbie

Rules

16 898×	`accelerator-lowering-fma.f32`
16 898×	`accelerator-lowering-fma.f64`
5 002×	`-lowering-.f32`
5 002×	`-lowering-.f64`
2 664×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	744
1	437	667
2	1368	639
3	4610	634
0	8306	583

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval46.0ms (0.4%)

Memory: -22.0MiB live, 90.2MiB allocated
Compiler: Compiled 8 464 to 923 computations (89.1% saved)

prune77.0ms (0.7%)

Memory

-21.2MiB live, 162.1MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	331	14	345
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	332	14	346

Accuracy

81.8%

Counts

346 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.3%	(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)))) (.f64 x x))
	42.3%	(/.f64 (/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (sqrt.f64 (fma.f64 x x x)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))
	42.3%	(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (sqrt.f64 (fma.f64 x x x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
▶	42.3%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 (sqrt.f64 (fma.f64 x x x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
	39.3%	(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
	5.8%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
▶	28.8%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
	32.9%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	9.7%	(*.f64 (/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (sqrt.f64 (fma.f64 x x x)))
	42.3%	(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (sqrt.f64 (fma.f64 x x x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
	39.3%	(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
▶	78.6%	(.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))
	62.7%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
▶	5.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 466 to 274 computations (41.2% saved)

simplify288.0ms (2.8%)

Memory

34.6MiB live, 389.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (sqrt.f64 (fma.f64 x x x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 (sqrt.f64 (fma.f64 x x x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
✓	cost-diff	384	(-.f64 (+.f64 #s(literal 1 binary64) x) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
✓	cost-diff	0	(.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
✓	cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)))) (.f64 x x))
✓	cost-diff	192	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x))))

Rules

9 436×	`accelerator-lowering-fma.f32`
9 436×	`accelerator-lowering-fma.f64`
2 820×	`-lowering-.f32`
2 820×	`-lowering-.f64`
1 628×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	257
1	90	253
2	195	253
3	395	249
4	630	249
5	1085	249
6	1885	249
7	4352	249
8	7125	249
0	8130	236

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize319.0ms (3.1%)

Memory

2.3MiB live, 517.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(*.f64 (sqrt.f64 (fma.f64 x x x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
✓	accuracy	98.3%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 (sqrt.f64 (fma.f64 x x x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
✓	accuracy	52.7%	(sqrt.f64 (fma.f64 x x x))
✓	accuracy	14.5%	(-.f64 (+.f64 #s(literal 1 binary64) x) x)
✓	accuracy	100.0%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.2%	(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
✓	accuracy	82.7%	(.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))
✓	accuracy	100.0%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
✓	accuracy	81.6%	(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)))) (.f64 x x))
✓	accuracy	66.6%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))

Samples

162.0ms	160×	3	valid
38.0ms	29×	5	exit
32.0ms	66×	1	valid
1.0ms	1×	2	valid

Compiler

Compiled 262 to 35 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 181.0ms

ival-div: 37.0ms (20.4% of total)

adjust: 35.0ms (19.3% of total)

ival-sqrt: 35.0ms (19.3% of total)

ival-mult: 32.0ms (17.7% of total)

ival-add: 29.0ms (16% of total)

ival-sub: 12.0ms (6.6% of total)

exact: 1.0ms (0.6% of total)

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

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

series33.0ms (0.3%)

Memory

8.9MiB live, 44.3MiB allocated

Counts

17 → 204

Calls

Call 1

Inputs
#s(alt (+ (* (sqrt (/ 1 x)) -1/2) (* 1/2 (+ (* (sqrt (/ 1 (* x (* x x)))) (+ (* x 1/4) 1)) (sqrt x)))) (patch (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (/ (+ (* (sqrt (/ 1 x)) -1/2) (* 1/2 (+ (* (sqrt (/ 1 (* x (* x x)))) (+ (* x 1/4) 1)) (sqrt x)))) (* x x)) (patch (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)))) (.f64 x x)) #<representation binary64>) () ())
#s(alt (sqrt (/ 1 x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (/ 1 x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (- (/ 1 (sqrt x)) (sqrt (/ 1 x))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt (/ 1 (sqrt x)) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (* (- (sqrt (/ 1 x)) (sqrt x)) (/ -1/2 (* x x))) (patch (.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) #<representation binary64>) () ())
#s(alt (- (sqrt (/ 1 x)) (sqrt x)) (patch (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (- (+ 1 x) x) (patch (-.f64 (+.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())
#s(alt (/ (- (+ 1 x) x) (* (sqrt (+ (* x x) x)) (+ (sqrt (+ 1 x)) (sqrt x)))) (patch (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 (sqrt.f64 (fma.f64 x x x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (+ 1 x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (* (sqrt (+ (* x x) x)) (+ (sqrt (+ 1 x)) (sqrt x))) (patch (*.f64 (sqrt.f64 (fma.f64 x x x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (sqrt (/ 1 (* x (* x x)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #<representation binary64>) () ())
#s(alt (/ 1 (* x (* x x))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())
#s(alt (/ -1/2 (* x x)) (patch (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (sqrt (+ (* x x) x)) (patch (sqrt.f64 (fma.f64 x x x)) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (sqrt (/ 1 (pow x 3)))) (taylor 0 x) (#s(alt (+ (* (sqrt (/ 1 x)) -1/2) (* 1/2 (+ (* (sqrt (/ 1 (* x (* x x)))) (+ (* x 1/4) 1)) (sqrt x)))) (patch (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (sqrt x))))) (pow x 2)) (taylor 0 x) (#s(alt (+ (* (sqrt (/ 1 x)) -1/2) (* 1/2 (+ (* (sqrt (/ 1 (* x (* x x)))) (+ (* x 1/4) 1)) (sqrt x)))) (patch (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))) (pow x 2)) (taylor 0 x) (#s(alt (+ (* (sqrt (/ 1 x)) -1/2) (* 1/2 (+ (* (sqrt (/ 1 (* x (* x x)))) (+ (* x 1/4) 1)) (sqrt x)))) (patch (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))) (pow x 2)) (taylor 0 x) (#s(alt (+ (* (sqrt (/ 1 x)) -1/2) (* 1/2 (+ (* (sqrt (/ 1 (* x (* x x)))) (+ (* x 1/4) 1)) (sqrt x)))) (patch (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (sqrt x)) (taylor inf x) (#s(alt (+ (* (sqrt (/ 1 x)) -1/2) (* 1/2 (+ (* (sqrt (/ 1 (* x (* x x)))) (+ (* x 1/4) 1)) (sqrt x)))) (patch (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) (taylor inf x) (#s(alt (+ (* (sqrt (/ 1 x)) -1/2) (* 1/2 (+ (* (sqrt (/ 1 (* x (* x x)))) (+ (* x 1/4) 1)) (sqrt x)))) (patch (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))) (taylor inf x) (#s(alt (+ (* (sqrt (/ 1 x)) -1/2) (* 1/2 (+ (* (sqrt (/ 1 (* x (* x x)))) (+ (* x 1/4) 1)) (sqrt x)))) (patch (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))) (taylor inf x) (#s(alt (+ (* (sqrt (/ 1 x)) -1/2) (* 1/2 (+ (* (sqrt (/ 1 (* x (* x x)))) (+ (* x 1/4) 1)) (sqrt x)))) (patch (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (+ (* (sqrt (/ 1 x)) -1/2) (* 1/2 (+ (* (sqrt (/ 1 (* x (* x x)))) (+ (* x 1/4) 1)) (sqrt x)))) (patch (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (+ (* (sqrt (/ 1 x)) -1/2) (* 1/2 (+ (* (sqrt (/ 1 (* x (* x x)))) (+ (* x 1/4) 1)) (sqrt x)))) (patch (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (+ (* (sqrt (/ 1 x)) -1/2) (* 1/2 (+ (* (sqrt (/ 1 (* x (* x x)))) (+ (* x 1/4) 1)) (sqrt x)))) (patch (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt (/ 1 (* x (* x x)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt (/ 1 (* x (* x x)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt (/ 1 (* x (* x x)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor 0 x) (#s(alt (/ 1 (* x (* x x))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor 0 x) (#s(alt (/ 1 (* x (* x x))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor 0 x) (#s(alt (/ 1 (* x (* x x))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor 0 x) (#s(alt (/ 1 (* x (* x x))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor inf x) (#s(alt (/ 1 (* x (* x x))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor inf x) (#s(alt (/ 1 (* x (* x x))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor inf x) (#s(alt (/ 1 (* x (* x x))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor inf x) (#s(alt (/ 1 (* x (* x x))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor -inf x) (#s(alt (/ 1 (* x (* x x))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor -inf x) (#s(alt (/ 1 (* x (* x x))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor -inf x) (#s(alt (/ 1 (* x (* x x))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 3)) (taylor -inf x) (#s(alt (/ 1 (* x (* x x))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 (pow x 2)) (taylor 0 x) (#s(alt (/ -1/2 (* x x)) (patch (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 (pow x 2)) (taylor 0 x) (#s(alt (/ -1/2 (* x x)) (patch (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 (pow x 2)) (taylor 0 x) (#s(alt (/ -1/2 (* x x)) (patch (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 (pow x 2)) (taylor 0 x) (#s(alt (/ -1/2 (* x x)) (patch (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 (pow x 2)) (taylor inf x) (#s(alt (/ -1/2 (* x x)) (patch (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 (pow x 2)) (taylor inf x) (#s(alt (/ -1/2 (* x x)) (patch (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 (pow x 2)) (taylor inf x) (#s(alt (/ -1/2 (* x x)) (patch (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 (pow x 2)) (taylor inf x) (#s(alt (/ -1/2 (* x x)) (patch (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 (pow x 2)) (taylor -inf x) (#s(alt (/ -1/2 (* x x)) (patch (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 (pow x 2)) (taylor -inf x) (#s(alt (/ -1/2 (* x x)) (patch (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 (pow x 2)) (taylor -inf x) (#s(alt (/ -1/2 (* x x)) (patch (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ -1/2 (pow x 2)) (taylor -inf x) (#s(alt (/ -1/2 (* x x)) (patch (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt (+ (* x x) x)) (patch (sqrt.f64 (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt x) (* 1/2 (sqrt (pow x 3)))) (taylor 0 x) (#s(alt (sqrt (+ (* x x) x)) (patch (sqrt.f64 (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))) (taylor 0 x) (#s(alt (sqrt (+ (* x x) x)) (patch (sqrt.f64 (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x)))))))) (taylor 0 x) (#s(alt (sqrt (+ (* x x) x)) (patch (sqrt.f64 (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (sqrt (+ (* x x) x)) (patch (sqrt.f64 (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/2 (/ 1 x)))) (taylor inf x) (#s(alt (sqrt (+ (* x x) x)) (patch (sqrt.f64 (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2)))) (taylor inf x) (#s(alt (sqrt (+ (* x x) x)) (patch (sqrt.f64 (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2)))) (taylor inf x) (#s(alt (sqrt (+ (* x x) x)) (patch (sqrt.f64 (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (sqrt (+ (* x x) x)) (patch (sqrt.f64 (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (sqrt (+ (* x x) x)) (patch (sqrt.f64 (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x))))) (taylor -inf x) (#s(alt (sqrt (+ (* x x) x)) (patch (sqrt.f64 (fma.f64 x x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2) x))))) (taylor -inf x) (#s(alt (sqrt (+ (* x x) x)) (patch (sqrt.f64 (fma.f64 x x x)) #<representation binary64>) () ())) ())

Calls

51 calls:

Time	Variable		Point	Expression
16.0ms	x	@	-inf	(/ 1 x)
1.0ms	x	@	0	(/ (- (+ 1 x) x) (* (sqrt (+ (* x x) x)) (+ (sqrt (+ 1 x)) (sqrt x))))
1.0ms	x	@	-inf	(+ (* (sqrt (/ 1 x)) -1/2) (* 1/2 (+ (* (sqrt (/ 1 (* x (* x x)))) (+ (* x 1/4) 1)) (sqrt x))))
1.0ms	x	@	0	(+ (* (sqrt (/ 1 x)) -1/2) (* 1/2 (+ (* (sqrt (/ 1 (* x (* x x)))) (+ (* x 1/4) 1)) (sqrt x))))
1.0ms	x	@	-inf	(/ (- (+ 1 x) x) (* (sqrt (+ (* x x) x)) (+ (sqrt (+ 1 x)) (sqrt x))))

rewrite334.0ms (3.2%)

Memory

-24.7MiB live, 578.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 420×	`-lowering-.f32`
4 420×	`-lowering-.f64`
4 174×	`/-lowering-/.f32`
4 174×	`/-lowering-/.f64`
3 734×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	158
1	229	122
2	2153	121
0	8582	109

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 683

Calls

Call 1

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

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

simplify476.0ms (4.6%)

Memory

9.0MiB live, 563.4MiB allocated

Algorithm

1×	egg-herbie

Rules

14 592×	`accelerator-lowering-fma.f32`
14 592×	`accelerator-lowering-fma.f64`
5 592×	`+-lowering-+.f64`
5 592×	`+-lowering-+.f32`
4 456×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	309	2426
1	911	2000
2	3055	1917
0	8229	1842

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (sqrt x))))) (pow x 2))
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))) (pow x 2))
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))) (pow x 2))
(* 1/2 (sqrt x))
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 5))))))))
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 5))))))))
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* 1/2 (sqrt (/ 1 (pow x 7))))
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (sqrt x))))) (pow x 4))
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))) (pow x 4))
(/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))) (pow x 4))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) x)
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
0
0
0
0
0
0
0
0
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1/2 (sqrt (/ 1 (pow x 5))))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)
(* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))
(sqrt (/ 1 x))
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)
(/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)
(* -1 (sqrt x))
(* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))
(* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))
(* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))
(* (sqrt x) (pow (sqrt -1) 2))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
1
1
1
1
1
1
1
1
1
1
1
1
(* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))
(/ (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x)
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x)
(/ (+ (* x (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x))))) (+ (* x (+ (* -1 (* (sqrt x) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))) (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))))))) (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (+ 1 (sqrt x)))))))) (* (sqrt x) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))))))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))) x)
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2))
(/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2))
(* 1/2 (sqrt (/ 1 (pow x 3))))
(/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* 3/16 (sqrt x))) x)) (* 1/4 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* 5/32 (sqrt x))) x)) (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* 3/16 (sqrt x)))) x)) (* 1/4 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 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)))
(* (sqrt x) (+ 1 (sqrt x)))
(+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (+ 1 (sqrt x))))
(+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (sqrt x)))))))) (* (sqrt x) (+ 1 (sqrt x))))
(+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (+ (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (sqrt x)))) (* x (+ (* 1/16 (sqrt x)) (* 1/4 (sqrt (/ 1 x)))))))))) (* (sqrt x) (+ 1 (sqrt x))))
(* 2 (sqrt (pow x 3)))
(* (pow x 2) (+ (sqrt (/ 1 (pow x 3))) (* 2 (sqrt (/ 1 x)))))
(* (pow x 2) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
(* (pow x 2) (+ (sqrt (/ 1 (pow x 3))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (+ (* 1/8 (sqrt (/ 1 (pow x 7)))) (+ (* 1/4 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))))
(* 2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* (pow x 2) (+ (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt x))) x))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (sqrt x)) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (+ (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt x)))) x))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(sqrt (/ 1 (pow x 3)))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(sqrt x)
(+ (sqrt x) (* 1/2 (sqrt (pow x 3))))
(+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))
(+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x))))))))
x
(* x (+ 1 (* 1/2 (/ 1 x))))
(* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* 1/8 (/ 1 x)) 1/2) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 x)) 1/8) x)) 1/2) x)))))

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

eval385.0ms (3.7%)

Memory: 26.8MiB live, 281.7MiB allocated
Compiler: Compiled 33 028 to 3 375 computations (89.8% saved)

prune275.0ms (2.7%)

Memory

-33.8MiB live, 316.5MiB allocated

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	1 339	19	1 358
Fresh	5	4	9
Picked	4	1	5
Done	0	0	0
Total	1 348	24	1 372

Accuracy

100.0%

Counts

1 372 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) x)
	42.3%	(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (sqrt.f64 (fma.f64 x x x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
	78.5%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (.f64 (.f64 x x) #s(literal -2 binary64)))
	96.5%	(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) x) x)
	42.3%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))) (sqrt.f64 (.f64 x (fma.f64 x x x)))))
	35.6%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (sqrt.f64 x)))
	41.2%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 (+.f64 #s(literal 1/2 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
	42.2%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 (sqrt.f64 (fma.f64 x x x)) (+.f64 (sqrt.f64 (exp.f64 (log1p.f64 x))) (sqrt.f64 x))))
	39.1%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (*.f64 x x)))))
	39.3%	(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
	96.5%	(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x)
	95.0%	(/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) x)) (.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))
▶	96.4%	(/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -5/8 binary64) x))) (neg.f64 x))
	78.4%	(/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 x x))
	78.5%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))))
	81.5%	(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
	5.8%	(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
	32.9%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	96.5%	(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) x) (/.f64 #s(literal -1/2 binary64) x))
	78.5%	(.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))
	78.4%	(.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))
▶	62.7%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
✓	5.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
▶	34.7%	#s(literal 0 binary64)

Compiler

Compiled 651 to 422 computations (35.2% saved)

simplify264.0ms (2.6%)

Memory

-7.6MiB live, 188.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	128	(*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -5/8 binary64) x)))
✓	cost-diff	128	(/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -5/8 binary64) x))) (neg.f64 x))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
✓	cost-diff	384	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) x)
✓	cost-diff	512	(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) x) (/.f64 #s(literal -1/2 binary64) x))
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
✓	cost-diff	0	(+.f64 (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x))
✓	cost-diff	0	(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x)
✓	cost-diff	384	(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) x)
✓	cost-diff	1216	(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))

Rules

6 150×	`accelerator-lowering-fma.f32`
6 150×	`accelerator-lowering-fma.f64`
2 412×	`-lowering-.f32`
2 412×	`-lowering-.f64`
1 558×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	226
1	81	226
2	193	224
3	551	223
4	1326	223
5	3583	218
6	5895	218
7	7416	212
0	8018	203

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ (+ (* 1/2 (+ (/ (+ (* x 1/4) 1) (* x (sqrt x))) (sqrt x))) (/ -1/2 (sqrt x))) x) x)
(/ (+ (* 1/2 (+ (/ (+ (* x 1/4) 1) (* x (sqrt x))) (sqrt x))) (/ -1/2 (sqrt x))) x)
(+ (* 1/2 (+ (/ (+ (* x 1/4) 1) (* x (sqrt x))) (sqrt x))) (/ -1/2 (sqrt x)))
1/2
(+ (/ (+ (* x 1/4) 1) (* x (sqrt x))) (sqrt x))
(/ (+ (* x 1/4) 1) (* x (sqrt x)))
(+ (* x 1/4) 1)
x
1/4
1
(* x (sqrt x))
(sqrt x)
(/ -1/2 (sqrt x))
-1/2
0
(* 1/2 (sqrt (/ 1 (* x (* x x)))))
1/2
(sqrt (/ 1 (* x (* x x))))
(/ 1 (* x (* x x)))
1
(* x (* x x))
x
(* x x)
(* (/ (/ (- 1 x) (sqrt x)) x) (/ -1/2 x))
(/ (/ (- 1 x) (sqrt x)) x)
(/ (- 1 x) (sqrt x))
(- 1 x)
1
x
(sqrt x)
(/ -1/2 x)
-1/2
(/ (* (neg (sqrt (/ 1 x))) (- 1/2 (/ -5/8 x))) (neg x))
(* (neg (sqrt (/ 1 x))) (- 1/2 (/ -5/8 x)))
(neg (sqrt (/ 1 x)))
(sqrt (/ 1 x))
(/ 1 x)
1
x
(- 1/2 (/ -5/8 x))
1/2
(/ -5/8 x)
-5/8
(neg x)

Outputs
(/ (/ (+ (* 1/2 (+ (/ (+ (* x 1/4) 1) (* x (sqrt x))) (sqrt x))) (/ -1/2 (sqrt x))) x) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 x))) (fma.f64 x #s(literal -3/4 binary64) #s(literal 1 binary64)))) (*.f64 x x))
(/ (+ (* 1/2 (+ (/ (+ (* x 1/4) 1) (* x (sqrt x))) (sqrt x))) (/ -1/2 (sqrt x))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 x))) (fma.f64 x #s(literal -3/4 binary64) #s(literal 1 binary64)))) x)
(+ (* 1/2 (+ (/ (+ (* x 1/4) 1) (* x (sqrt x))) (sqrt x))) (/ -1/2 (sqrt x)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 x))) (fma.f64 x #s(literal -3/4 binary64) #s(literal 1 binary64))))
1/2
#s(literal 1/2 binary64)
(+ (/ (+ (* x 1/4) 1) (* x (sqrt x))) (sqrt x))
(+.f64 (sqrt.f64 x) (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x))))
(/ (+ (* x 1/4) 1) (* x (sqrt x)))
(/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x)))
(+ (* x 1/4) 1)
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64))
x
1/4
#s(literal 1/4 binary64)
1
#s(literal 1 binary64)
(* x (sqrt x))
(*.f64 x (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)
(/ -1/2 (sqrt x))
(/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))
-1/2
#s(literal -1/2 binary64)
0
#s(literal 0 binary64)
(* 1/2 (sqrt (/ 1 (* x (* x x)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
1/2
#s(literal 1/2 binary64)
(sqrt (/ 1 (* x (* x x))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(/ 1 (* x (* x x)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
1
#s(literal 1 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
x
(* x x)
(*.f64 x x)
(* (/ (/ (- 1 x) (sqrt x)) x) (/ -1/2 x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64)) (.f64 x (.f64 x (sqrt.f64 x))))
(/ (/ (- 1 x) (sqrt x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (sqrt.f64 x)))
(/ (- 1 x) (sqrt x))
(/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(sqrt x)
(sqrt.f64 x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
-1/2
#s(literal -1/2 binary64)
(/ (* (neg (sqrt (/ 1 x))) (- 1/2 (/ -5/8 x))) (neg x))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 5/8 binary64) x))) x)
(* (neg (sqrt (/ 1 x))) (- 1/2 (/ -5/8 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -5/8 binary64) x)))
(neg (sqrt (/ 1 x)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(- 1/2 (/ -5/8 x))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 5/8 binary64) x))
1/2
#s(literal 1/2 binary64)
(/ -5/8 x)
(/.f64 #s(literal -5/8 binary64) x)
-5/8
#s(literal -5/8 binary64)
(neg x)
(neg.f64 x)

localize108.0ms (1%)

Memory

10.1MiB live, 203.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	99.9%	(*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -5/8 binary64) x)))
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.8%	(/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -5/8 binary64) x))) (neg.f64 x))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.7%	(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) x) (/.f64 #s(literal -1/2 binary64) x))
✓	accuracy	99.6%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) x)
✓	accuracy	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))
✓	accuracy	66.5%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
✓	accuracy	99.8%	(*.f64 x (sqrt.f64 x))
✓	accuracy	99.6%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x)
✓	accuracy	99.6%	(/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))
✓	accuracy	68.7%	(/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x)))

Samples

63.0ms

256×

valid

Compiler

Compiled 227 to 38 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-div: 17.0ms (36.6% of total)

ival-mult: 12.0ms (25.9% of total)

ival-add: 6.0ms (12.9% of total)

ival-sqrt: 6.0ms (12.9% of total)

ival-sub: 2.0ms (4.3% of total)

ival-neg: 2.0ms (4.3% of total)

exact: 1.0ms (2.2% of total)

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

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

series22.0ms (0.2%)

Memory

-3.0MiB live, 35.3MiB allocated

Counts

21 → 252

Calls

Call 1

Inputs
#s(alt (+ (* 1/2 (+ (/ (+ (* x 1/4) 1) (* x (sqrt x))) (sqrt x))) (/ -1/2 (sqrt x))) (patch (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (/ (/ (+ (* 1/2 (+ (/ (+ (* x 1/4) 1) (* x (sqrt x))) (sqrt x))) (/ -1/2 (sqrt x))) x) x) (patch (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) x) #<representation binary64>) () ())
#s(alt (/ (+ (* 1/2 (+ (/ (+ (* x 1/4) 1) (* x (sqrt x))) (sqrt x))) (/ -1/2 (sqrt x))) x) (patch (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) #<representation binary64>) () ())
#s(alt (+ (/ (+ (* x 1/4) 1) (* x (sqrt x))) (sqrt x)) (patch (+.f64 (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (* 1/2 (sqrt (/ 1 (* x (* x x))))) (patch (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))) #<representation binary64>) () ())
#s(alt (sqrt (/ 1 (* x (* x x)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) #<representation binary64>) () ())
#s(alt (/ 1 (* x (* x x))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #<representation binary64>) () ())
#s(alt (* x (* x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())
#s(alt (* (/ (/ (- 1 x) (sqrt x)) x) (/ -1/2 x)) (patch (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) x) (/.f64 #s(literal -1/2 binary64) x)) #<representation binary64>) () ())
#s(alt (/ (/ (- 1 x) (sqrt x)) x) (patch (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) x) #<representation binary64>) () ())
#s(alt (/ (- 1 x) (sqrt x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (- 1 x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (/ (* (neg (sqrt (/ 1 x))) (- 1/2 (/ -5/8 x))) (neg x)) (patch (/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -5/8 binary64) x))) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (* (neg (sqrt (/ 1 x))) (- 1/2 (/ -5/8 x))) (patch (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -5/8 binary64) x))) #<representation binary64>) () ())
#s(alt (neg (sqrt (/ 1 x))) (patch (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt (sqrt (/ 1 x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (/ (+ (* x 1/4) 1) (* x (sqrt x))) (patch (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (/ -1/2 (sqrt x)) (patch (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (* x (sqrt x)) (patch (*.f64 x (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (neg x) (patch (neg.f64 x) #<representation binary64>) () ())

Outputs
#s(alt (* 1/2 (sqrt (/ 1 (pow x 3)))) (taylor 0 x) (#s(alt (+ (* 1/2 (+ (/ (+ (* x 1/4) 1) (* x (sqrt x))) (sqrt x))) (/ -1/2 (sqrt x))) (patch (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (* 1/8 (sqrt x))))) (pow x 2)) (taylor 0 x) (#s(alt (+ (* 1/2 (+ (/ (+ (* x 1/4) 1) (* x (sqrt x))) (sqrt x))) (/ -1/2 (sqrt x))) (patch (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))) (pow x 2)) (taylor 0 x) (#s(alt (+ (* 1/2 (+ (/ (+ (* x 1/4) 1) (* x (sqrt x))) (sqrt x))) (/ -1/2 (sqrt x))) (patch (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt x)) (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))) (pow x 2)) (taylor 0 x) (#s(alt (+ (* 1/2 (+ (/ (+ (* x 1/4) 1) (* x (sqrt x))) (sqrt x))) (/ -1/2 (sqrt x))) (patch (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (sqrt x)) (taylor inf x) (#s(alt (+ (* 1/2 (+ (/ (+ (* x 1/4) 1) (* x (sqrt x))) (sqrt x))) (/ -1/2 (sqrt x))) (patch (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))) (taylor inf x) (#s(alt (+ (* 1/2 (+ (/ (+ (* x 1/4) 1) (* x (sqrt x))) (sqrt x))) (/ -1/2 (sqrt x))) (patch (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))) (taylor inf x) (#s(alt (+ (* 1/2 (+ (/ (+ (* x 1/4) 1) (* x (sqrt x))) (sqrt x))) (/ -1/2 (sqrt x))) (patch (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))) (taylor inf x) (#s(alt (+ (* 1/2 (+ (/ (+ (* x 1/4) 1) (* x (sqrt x))) (sqrt x))) (/ -1/2 (sqrt x))) (patch (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (+ (* 1/2 (+ (/ (+ (* x 1/4) 1) (* x (sqrt x))) (sqrt x))) (/ -1/2 (sqrt x))) (patch (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 1/8 (sqrt (/ 1 x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (+ (* 1/2 (+ (/ (+ (* x 1/4) 1) (* x (sqrt x))) (sqrt x))) (/ -1/2 (sqrt x))) (patch (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (+ (* 1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (+ (* 1/2 (+ (/ (+ (* x 1/4) 1) (* x (sqrt x))) (sqrt x))) (/ -1/2 (sqrt x))) (patch (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
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#s(alt (* -1 x) (taylor inf x) (#s(alt (neg x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg x) (patch (neg.f64 x) #<representation binary64>) () ())) ())

Calls

63 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(* 1/2 (sqrt (/ 1 (* x (* x x)))))
1.0ms	x	@	0	(/ (* (neg (sqrt (/ 1 x))) (- 1/2 (/ -5/8 x))) (neg x))
1.0ms	x	@	-inf	(+ (* 1/2 (+ (/ (+ (* x 1/4) 1) (* x (sqrt x))) (sqrt x))) (/ -1/2 (sqrt x)))
1.0ms	x	@	-inf	(/ (* (neg (sqrt (/ 1 x))) (- 1/2 (/ -5/8 x))) (neg x))
1.0ms	x	@	-inf	(* (/ (/ (- 1 x) (sqrt x)) x) (/ -1/2 x))

rewrite325.0ms (3.2%)

Memory

40.6MiB live, 594.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 898×	`/-lowering-/.f32`
4 898×	`/-lowering-/.f64`
4 546×	`-lowering-.f32`
4 546×	`-lowering-.f64`
2 176×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	186
1	210	165
2	1885	160
0	8251	148

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 862

Calls

Call 1

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

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

simplify414.0ms (4%)

Memory

-23.4MiB live, 737.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12 966×	`accelerator-lowering-fma.f32`
12 966×	`accelerator-lowering-fma.f64`
3 250×	`-lowering-.f32`
3 250×	`-lowering-.f64`
2 018×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	172	2493
1	437	2235
2	1198	2203
3	2589	2183
4	6186	2177
0	8532	2106

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

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

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

eval163.0ms (1.6%)

Memory: 8.5MiB live, 432.4MiB allocated
Compiler: Compiled 32 365 to 3 835 computations (88.2% saved)

prune158.0ms (1.5%)

Memory

-12.8MiB live, 418.1MiB allocated

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	1 225	9	1 234
Fresh	7	11	18
Picked	3	2	5
Done	0	1	1
Total	1 235	23	1 258

Accuracy

100.0%

Counts

1 258 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.3%	(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (sqrt.f64 (fma.f64 x x x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
	95.0%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (sqrt.f64 x))) (.f64 x #s(literal -2 binary64)))
	96.5%	(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) x)
	42.3%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))) (sqrt.f64 (.f64 x (fma.f64 x x x)))))
	41.2%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 (+.f64 #s(literal 1/2 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
	42.2%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 (sqrt.f64 (fma.f64 x x x)) (+.f64 (sqrt.f64 (exp.f64 (log1p.f64 x))) (sqrt.f64 x))))
	39.3%	(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
	95.1%	(/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 x (sqrt.f64 x)))
	69.8%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (.f64 x (*.f64 x (sqrt.f64 x))))
▶	98.4%	(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64))) x)
	78.4%	(/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 x x))
	81.5%	(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
▶	5.8%	(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
	94.9%	(/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 x)))
	95.1%	(/.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x))
▶	32.9%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
▶	78.5%	(.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))
	78.4%	(.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))
	96.4%	(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))
▶	96.5%	(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
✓	62.7%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
✓	5.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	34.7%	#s(literal 0 binary64)

Compiler

Compiled 536 to 352 computations (34.3% saved)

simplify260.0ms (2.5%)

Memory

20.3MiB live, 288.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
✓	cost-diff	512	(.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	320	(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)))
✓	cost-diff	0	(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64))) x)

Rules

4 614×	`accelerator-lowering-fma.f32`
4 614×	`accelerator-lowering-fma.f64`
2 488×	`-lowering-.f32`
2 488×	`-lowering-.f64`
1 516×	`unsub-neg`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	24	138
1	55	136
2	106	136
3	191	136
4	394	136
5	944	134
6	2316	134
7	4894	134
8	7661	134
0	8038	134

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* (sqrt (/ 1 x)) (+ (/ -3/8 x) 1/2)) x)
(* (sqrt (/ 1 x)) (+ (/ -3/8 x) 1/2))
(sqrt (/ 1 x))
(/ 1 x)
1
x
(+ (/ -3/8 x) 1/2)
(/ -3/8 x)
-3/8
1/2
(/ 1 (sqrt x))
1
(sqrt x)
x
(* 1/2 (/ (/ 1 x) (sqrt x)))
1/2
(/ (/ 1 x) (sqrt x))
(/ 1 x)
1
x
(sqrt x)
(* (/ (- 1 x) (sqrt x)) (/ -1/2 (* x x)))
(/ (- 1 x) (sqrt x))
(- 1 x)
1
x
(sqrt x)
(/ -1/2 (* x x))
-1/2
(* x x)
(- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1))))
(sqrt (/ 1 x))
(/ 1 x)
1
x
(/ 1 (sqrt (+ x 1)))
(sqrt (+ x 1))
(+ x 1)

Outputs
(/ (* (sqrt (/ 1 x)) (+ (/ -3/8 x) 1/2)) x)
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64))) x)
(* (sqrt (/ 1 x)) (+ (/ -3/8 x) 1/2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(+ (/ -3/8 x) 1/2)
(+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64))
(/ -3/8 x)
(/.f64 #s(literal -3/8 binary64) x)
-3/8
#s(literal -3/8 binary64)
1/2
#s(literal 1/2 binary64)
(/ 1 (sqrt x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
1
#s(literal 1 binary64)
(sqrt x)
(sqrt.f64 x)
x
(* 1/2 (/ (/ 1 x) (sqrt x)))
(/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 x)))
1/2
#s(literal 1/2 binary64)
(/ (/ 1 x) (sqrt x))
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(sqrt x)
(sqrt.f64 x)
(* (/ (- 1 x) (sqrt x)) (/ -1/2 (* x x)))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (.f64 x (.f64 x (sqrt.f64 x))))
(/ (- 1 x) (sqrt x))
(/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(sqrt x)
(sqrt.f64 x)
(/ -1/2 (* x x))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
-1/2
#s(literal -1/2 binary64)
(* x x)
(*.f64 x x)
(- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1))))
(+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(/ 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)

localize350.0ms (3.4%)

Memory

-19.9MiB live, 227.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
✓	accuracy	39.2%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.3%	(/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
✓	accuracy	99.2%	(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
✓	accuracy	82.7%	(.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)))
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.8%	(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64))) x)

Samples

168.0ms	208×	1	valid
66.0ms	33×	2	valid
5.0ms	15×	0	valid

Compiler

Compiled 140 to 26 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 149.0ms

ival-div: 64.0ms (42.9% of total)

ival-sqrt: 33.0ms (22.1% of total)

ival-mult: 19.0ms (12.7% of total)

adjust: 18.0ms (12.1% of total)

ival-sub: 8.0ms (5.4% of total)

ival-add: 6.0ms (4% of total)

exact: 1.0ms (0.7% of total)

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

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

series17.0ms (0.2%)

Memory

17.9MiB live, 17.9MiB allocated

Counts

16 → 192

Calls

Call 1

Inputs
#s(alt (/ (* (sqrt (/ 1 x)) (+ (/ -3/8 x) 1/2)) x) (patch (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64))) x) #<representation binary64>) () ())
#s(alt (* (sqrt (/ 1 x)) (+ (/ -3/8 x) 1/2)) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (sqrt (/ 1 x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (/ 1 x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (/ 1 (sqrt x)) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (/ (/ 1 x) (sqrt x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (* 1/2 (/ (/ 1 x) (sqrt x))) (patch (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (* (/ (- 1 x) (sqrt x)) (/ -1/2 (* x x))) (patch (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) #<representation binary64>) () ())
#s(alt (/ (- 1 x) (sqrt x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (- 1 x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) (patch (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (/ 1 (sqrt (+ x 1))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (+ (/ -3/8 x) 1/2) (patch (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/ -1/2 (* x x)) (patch (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (sqrt (+ x 1)) (patch (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())

Outputs
#s(alt (* -3/8 (sqrt (/ 1 (pow x 5)))) (taylor 0 x) (#s(alt (/ (* (sqrt (/ 1 x)) (+ (/ -3/8 x) 1/2)) x) (patch (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3)) (taylor 0 x) (#s(alt (/ (* (sqrt (/ 1 x)) (+ (/ -3/8 x) 1/2)) x) (patch (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3)) (taylor 0 x) (#s(alt (/ (* (sqrt (/ 1 x)) (+ (/ -3/8 x) 1/2)) x) (patch (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3)) (taylor 0 x) (#s(alt (/ (* (sqrt (/ 1 x)) (+ (/ -3/8 x) 1/2)) x) (patch (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (sqrt (/ 1 (pow x 3)))) (taylor inf x) (#s(alt (/ (* (sqrt (/ 1 x)) (+ (/ -3/8 x) 1/2)) x) (patch (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64))) x) #<representation binary64>) () ())) ())
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#s(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)))))) (taylor -inf x) (#s(alt (sqrt (+ x 1)) (patch (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf x) (#s(alt (sqrt (+ x 1)) (patch (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())

Calls

48 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ (* (sqrt (/ 1 x)) (+ (/ -3/8 x) 1/2)) x)
1.0ms	x	@	-inf	(- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1))))
1.0ms	x	@	0	(/ (* (sqrt (/ 1 x)) (+ (/ -3/8 x) 1/2)) x)
1.0ms	x	@	-inf	(/ (/ 1 x) (sqrt x))
1.0ms	x	@	inf	(/ (* (sqrt (/ 1 x)) (+ (/ -3/8 x) 1/2)) x)

rewrite1.1s (10.3%)

Memory

-22.5MiB live, 648.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 438×	`/-lowering-/.f32`
5 438×	`/-lowering-/.f64`
4 344×	`-lowering-.f32`
4 344×	`-lowering-.f64`
3 910×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	101
1	157	82
2	1468	82
0	8533	82

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 1 083

Calls

Call 1

Inputs
(/ (* (sqrt (/ 1 x)) (+ (/ -3/8 x) 1/2)) x)
(* (sqrt (/ 1 x)) (+ (/ -3/8 x) 1/2))
(sqrt (/ 1 x))
(/ 1 x)
(/ 1 (sqrt x))
(sqrt x)
(/ (/ 1 x) (sqrt x))
(* 1/2 (/ (/ 1 x) (sqrt x)))
(* (/ (- 1 x) (sqrt x)) (/ -1/2 (* x x)))
(/ (- 1 x) (sqrt x))
(- 1 x)
(- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1))))
(/ 1 (sqrt (+ x 1)))
(+ (/ -3/8 x) 1/2)
(/ -1/2 (* x x))
(sqrt (+ x 1))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x (sqrt.f64 x)) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) (.f64 x (sqrt.f64 x)))))
(neg.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) (.f64 x (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sqrt.f64 x)) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x (sqrt.f64 x)) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 x (sqrt.f64 x))) (.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) x))))
(/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) (*.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (sqrt.f64 x)) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x))) (neg.f64 x))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) x) (sqrt.f64 x))
(/.f64 (.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64))) (neg.f64 (.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64))) (neg.f64 (*.f64 x (sqrt.f64 x))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)))) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 (.f64 x (sqrt.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x))))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) #s(literal -1 binary64))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) x))) (neg.f64 (neg.f64 (sqrt.f64 x))))
(pow.f64 (/.f64 (*.f64 x (sqrt.f64 x)) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) (.f64 x (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) (.f64 x (sqrt.f64 x))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (.f64 x (sqrt.f64 x)) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64))))))
(*.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))) (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (sqrt.f64 x)))))
(*.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)))
(.f64 (.f64 (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) x) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64))) x))
(*.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))))
(.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))))
(.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
(.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))))
(*.f64 (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) x))
(*.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3/8 binary64) (*.f64 x (sqrt.f64 x))))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 9/64 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal -1/2 binary64))) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal -1/2 binary64))) (sqrt.f64 x)))
(-.f64 (/.f64 (.f64 (/.f64 #s(literal -3/8 binary64) (.f64 x (sqrt.f64 x))) (/.f64 #s(literal -3/8 binary64) (.f64 x (sqrt.f64 x)))) (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 x))) (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3/8 binary64) (*.f64 x (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -8/3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3/8 binary64) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal -3/8 binary64) (*.f64 x (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal -3/8 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal -3/8 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3/8 binary64) (*.f64 x (sqrt.f64 x))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3/8 binary64) (*.f64 x (sqrt.f64 x))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (neg.f64 (sqrt.f64 x)) (.f64 x #s(literal -8/3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal -8/3 binary64)) (neg.f64 (sqrt.f64 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (sqrt.f64 x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (sqrt.f64 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -8/3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal -3/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/8 binary64)) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/8 binary64) x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal -3/8 binary64) x) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal -3/8 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal -3/8 binary64) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 (pow.f64 x #s(literal -1/4 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal -8/3 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 3/8 binary64) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 (/.f64 #s(literal -3/8 binary64) x) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
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(.f64 (-.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(.f64 (-.f64 (.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))))
(.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x)))))))
(*.f64 (neg.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 x)))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal -1/2 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) #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 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/4 binary64)))
(.f64 (pow.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 x 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 -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/8 binary64) x))
(-.f64 (/.f64 (/.f64 #s(literal 9/64 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/8 binary64) x))) (/.f64 (/.f64 #s(literal 9/64 binary64) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/8 binary64) x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/8 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x #s(literal -8/3 binary64)))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 3/8 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal -1/2 binary64)) (.f64 x #s(literal -8/3 binary64)))) (+.f64 (/.f64 #s(literal -27/512 binary64) (.f64 x (*.f64 x x))) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/8 binary64) x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 9/64 binary64) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (/.f64 #s(literal -27/512 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (+.f64 (/.f64 #s(literal 9/64 binary64) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/16 binary64) x))))
(/.f64 (+.f64 (/.f64 #s(literal -27/512 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal -1/2 binary64)) (*.f64 x #s(literal -8/3 binary64)))))
(/.f64 (+.f64 (/.f64 #s(literal 9/64 binary64) (*.f64 x x)) #s(literal -1/4 binary64)) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -27/512 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal 9/64 binary64) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/16 binary64) x)))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -27/512 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal -1/2 binary64)) (*.f64 x #s(literal -8/3 binary64))))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 9/64 binary64) (*.f64 x x)) #s(literal -1/4 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 9/64 binary64) (*.f64 x x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/8 binary64) x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 9/64 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal -1/2 binary64))) (.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal -1/2 binary64)) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal -27/512 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 9/64 binary64) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/16 binary64) x))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 9/64 binary64) (*.f64 x x)) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 9/64 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/8 binary64) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 9/64 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal 9/64 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 9/64 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal -1/2 binary64))) (.f64 (/.f64 (/.f64 #s(literal 9/64 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal -1/2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)))
(.f64 (+.f64 (/.f64 #s(literal -27/512 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 9/64 binary64) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/16 binary64) x)))))
(.f64 (+.f64 (/.f64 #s(literal -27/512 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal -1/2 binary64)) (.f64 x #s(literal -8/3 binary64))))))
(.f64 (+.f64 (/.f64 #s(literal 9/64 binary64) (.f64 x x)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal -1/2 binary64))))
(.f64 (neg.f64 (+.f64 (/.f64 #s(literal -27/512 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (/.f64 #s(literal 9/64 binary64) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/16 binary64) x))))))
(.f64 (neg.f64 (+.f64 (/.f64 #s(literal 9/64 binary64) (.f64 x x)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal -1/2 binary64)))))
(.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 9/64 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/8 binary64) x))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 x (.f64 x #s(literal -2 binary64))))))
(/.f64 #s(literal 1/2 binary64) (*.f64 x (neg.f64 x)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (*.f64 x (neg.f64 x)))))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 x (neg.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x #s(literal -2 binary64)))))
(/.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) x))) (neg.f64 (neg.f64 x)))
(pow.f64 (.f64 x (.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/2 binary64) x))
(.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (neg.f64 x))))
(.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (*.f64 x #s(literal -2 binary64))))))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(*.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (sqrt.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) x))))
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log1p.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))

simplify412.0ms (4%)

Memory

19.5MiB live, 732.9MiB allocated

Algorithm

1×	egg-herbie

Rules

15 214×	`accelerator-lowering-fma.f32`
15 214×	`accelerator-lowering-fma.f64`
5 002×	`-lowering-.f32`
5 002×	`-lowering-.f64`
2 104×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	215	1865
1	600	1692
2	1832	1638
3	6100	1630
0	8294	1561

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

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

eval178.0ms (1.7%)

Memory: 16.6MiB live, 394.7MiB allocated
Compiler: Compiled 25 397 to 3 589 computations (85.9% saved)

prune251.0ms (2.4%)

Memory

3.6MiB live, 416.5MiB allocated

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	1 510	6	1 516
Fresh	4	11	15
Picked	3	2	5
Done	1	2	3
Total	1 518	21	1 539

Accuracy

100.0%

Counts

1 539 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.3%	(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (sqrt.f64 (fma.f64 x x x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
	98.4%	(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) x) (sqrt.f64 x))
	96.5%	(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) x)
	96.5%	(/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))
	42.3%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))) (sqrt.f64 (.f64 x (fma.f64 x x x)))))
	41.2%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 (+.f64 #s(literal 1/2 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
	42.2%	(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 (sqrt.f64 (fma.f64 x x x)) (+.f64 (sqrt.f64 (exp.f64 (log1p.f64 x))) (sqrt.f64 x))))
	39.3%	(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
	69.8%	(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x (*.f64 x #s(literal -2 binary64))) (sqrt.f64 x)))
	96.9%	(/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) (*.f64 x (sqrt.f64 x)))
	69.8%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (.f64 (*.f64 x (sqrt.f64 x)) x))
	78.4%	(/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 x x))
	81.5%	(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
✓	5.8%	(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
	94.9%	(/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 x)))
✓	32.9%	(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
	96.8%	(.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))))
	78.4%	(.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))
	96.4%	(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))
✓	5.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	34.7%	#s(literal 0 binary64)

Compiler

Compiled 878 to 314 computations (64.2% saved)

regimes27.0ms (0.3%)

Memory

7.3MiB live, 44.8MiB allocated

Counts

49 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 x)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (sqrt.f64 x)))
(/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 x x))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))
(.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) x)
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (.f64 x (*.f64 x (sqrt.f64 x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (.f64 (*.f64 x (sqrt.f64 x)) x))
(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x (*.f64 x #s(literal -2 binary64))) (sqrt.f64 x)))
(/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) (*.f64 x (sqrt.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (*.f64 x x)))))
(.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x))
(/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (.f64 (.f64 x x) #s(literal -2 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (sqrt.f64 x))) (.f64 x #s(literal -2 binary64)))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) x) (sqrt.f64 x))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) x) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64))) x)
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 (+.f64 #s(literal 1/2 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))) x) x)
(/.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
(.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -5/8 binary64) x))) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (sqrt.f64 (fma.f64 x x x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 (sqrt.f64 (fma.f64 x x x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (sqrt.f64 (fma.f64 x x x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))) (sqrt.f64 (.f64 x (fma.f64 x x x)))))
(/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) x)) (.f64 x (/.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (sqrt.f64 (fma.f64 x x x)))
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (*.f64 x (sqrt.f64 x))) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) x)
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)))) (.f64 x x))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 (sqrt.f64 (fma.f64 x x x)) (+.f64 (sqrt.f64 (exp.f64 (log1p.f64 x))) (sqrt.f64 x))))
(/.f64 (/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (sqrt.f64 (fma.f64 x x x)))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))

Outputs
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64))) x)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes18.0ms (0.2%)

Memory

-7.6MiB live, 29.0MiB allocated

Counts

29 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 x)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (sqrt.f64 x)))
(/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 x x))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))
(.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) x)
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (.f64 x (*.f64 x (sqrt.f64 x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (.f64 (*.f64 x (sqrt.f64 x)) x))
(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x (*.f64 x #s(literal -2 binary64))) (sqrt.f64 x)))
(/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) (*.f64 x (sqrt.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (*.f64 x x)))))
(.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x))
(/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (.f64 (.f64 x x) #s(literal -2 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (sqrt.f64 x))) (.f64 x #s(literal -2 binary64)))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) x) (sqrt.f64 x))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) x) (/.f64 #s(literal -1/2 binary64) x))

Outputs
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) x) (sqrt.f64 x))

Calls

2 calls:

9.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
8.0ms	x

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes15.0ms (0.1%)

Memory

-6.4MiB live, 32.3MiB allocated

Counts

25 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 x)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (sqrt.f64 x)))
(/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 x x))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))
(.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) x)
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (.f64 x (*.f64 x (sqrt.f64 x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (.f64 (*.f64 x (sqrt.f64 x)) x))
(/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 x (*.f64 x #s(literal -2 binary64))) (sqrt.f64 x)))
(/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) (*.f64 x (sqrt.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (*.f64 x x)))))
(.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x))
(/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (.f64 (.f64 x x) #s(literal -2 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x (sqrt.f64 x))) (.f64 x #s(literal -2 binary64)))

Outputs
(/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) (*.f64 x (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))

Calls

2 calls:

8.0ms	x
5.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
98.5%	2	`x`
96.9%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes9.0ms (0.1%)

Memory

22.8MiB live, 22.8MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
4.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
96.5%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`
96.5%	1	`x`

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes7.0ms (0.1%)

Memory

-30.3MiB live, 13.1MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 x)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 x (sqrt.f64 x)))
(/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 x x))

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

Calls

2 calls:

4.0ms	x
2.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
94.9%	1	`x`
94.9%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes4.0ms (0%)

Memory

10.1MiB live, 10.1MiB allocated

Accuracy

Total -19.5b remaining (-46.7%)

Threshold costs -19.5b (-46.7%)

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))

Outputs
#s(literal 0 binary64)

Calls

2 calls:

2.0ms	x
1.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
34.7%	1	`x`
34.7%	1	`(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))`

Compiler

Compiled 14 to 9 computations (35.7% saved)

bsearch3.0ms (0%)

Memory

7.6MiB live, 7.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
3.0ms	8.852288841433051e+66	7.211483985278361e+67

Samples

2.0ms

16×

valid

Compiler

Compiled 35 to 27 computations (22.9% saved)

Precisions

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

adjust: 0.0ms (0% of total)

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

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

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

exact: 0.0ms (0% of total)

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

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

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

simplify9.0ms (0.1%)

Memory

-16.7MiB live, 22.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	55
1	27	55

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64))) x)
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) x) (sqrt.f64 x))
(if (<=.f64 x #s(literal 9999999999999999827367757839185598317239782875580932278577147150336 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) (*.f64 x (sqrt.f64 x))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))
(/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 x)))
#s(literal 0 binary64)

Outputs
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64))) x)
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) x) (sqrt.f64 x))
(if (<=.f64 x #s(literal 9999999999999999827367757839185598317239782875580932278577147150336 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) x) #s(literal 1/2 binary64)) (*.f64 x (sqrt.f64 x))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))
(/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 x)))
#s(literal 0 binary64)

soundness876.0ms (8.5%)

Memory

23.2MiB live, 650.0MiB allocated

Rules

16 898×	`accelerator-lowering-fma.f32`
16 898×	`accelerator-lowering-fma.f64`
12 966×	`accelerator-lowering-fma.f32`
12 966×	`accelerator-lowering-fma.f64`
5 438×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	158
1	229	122
2	2153	121
0	8582	109
0	35	186
1	210	165
2	1885	160
0	8251	148
0	24	101
1	157	82
2	1468	82
0	8533	82
0	155	744
1	437	667
2	1368	639
3	4610	634
0	8306	583
0	172	2493
1	437	2235
2	1198	2203
3	2589	2183
4	6186	2177
0	8532	2106

Stop Event

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

Compiler

Compiled 168 to 106 computations (36.9% saved)

preprocess123.0ms (1.2%)

Memory: 6.5MiB live, 196.4MiB allocated
Compiler: Compiled 188 to 92 computations (51.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	38
1	29	36
2	62	35
3	111	35
4	175	35
5	260	35
6	334	35
7	386	35
8	448	35
9	477	35
10	497	35
11	499	35
0	8	11
1	13	11
2	21	11
3	30	11
4	42	11
5	62	11
6	101	11
7	132	11
8	188	11
9	217	11
10	238	11
11	240	11
0	240	11

Iter	Nodes	Cost
0	8	32
1	13	32
2	21	32
3	30	32
4	42	32
5	62	32
6	101	32
7	132	32
8	188	32
9	217	32
10	238	32
11	240	32
0	240	32

Iter	Nodes	Cost
0	16	38
1	29	36
2	62	35
3	111	35
4	175	35
5	260	35
6	334	35
7	386	35
8	448	35
9	477	35
10	497	35
11	499	35
0	8	11
1	13	11
2	21	11
3	30	11
4	42	11
5	62	11
6	101	11
7	132	11
8	188	11
9	217	11
10	238	11
11	240	11
0	240	11

Iter	Nodes	Cost
0	8	32
1	13	32
2	21	32
3	30	32
4	42	32
5	62	32
6	101	32
7	132	32
8	188	32
9	217	32
10	238	32
11	240	32
0	240	32

analyze2.0ms (0%)

sample2.0s (19.7%)

preprocess32.0ms (0.3%)

explain150.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify11.0ms (0.1%)

localize48.0ms (0.5%)

series35.0ms (0.3%)

rewrite253.0ms (2.5%)

simplify436.0ms (4.2%)

eval46.0ms (0.4%)

prune77.0ms (0.7%)

simplify288.0ms (2.8%)

localize319.0ms (3.1%)

series33.0ms (0.3%)

rewrite334.0ms (3.2%)

simplify476.0ms (4.6%)

eval385.0ms (3.7%)

prune275.0ms (2.7%)

simplify264.0ms (2.6%)

localize108.0ms (1%)

series22.0ms (0.2%)

rewrite325.0ms (3.2%)

simplify414.0ms (4%)

eval163.0ms (1.6%)

prune158.0ms (1.5%)

simplify260.0ms (2.5%)

localize350.0ms (3.4%)

series17.0ms (0.2%)

rewrite1.1s (10.3%)

simplify412.0ms (4%)

eval178.0ms (1.7%)

prune251.0ms (2.4%)

regimes27.0ms (0.3%)

regimes18.0ms (0.2%)

regimes15.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

bsearch3.0ms (0%)

simplify9.0ms (0.1%)

soundness876.0ms (8.5%)

preprocess123.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	38
1	29	36
2	62	35
3	111	35
4	175	35
5	260	35
6	334	35
7	386	35
8	448	35
9	477	35
10	497	35
11	499	35
0	8	11
1	13	11
2	21	11
3	30	11
4	42	11
5	62	11
6	101	11
7	132	11
8	188	11
9	217	11
10	238	11
11	240	11
0	240	11

Iter	Nodes	Cost
0	8	32
1	13	32
2	21	32
3	30	32
4	42	32
5	62	32
6	101	32
7	132	32
8	188	32
9	217	32
10	238	32
11	240	32
0	240	32