Metrics for Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze8.0ms (0.1%)

Memory

20.7MiB live, 20.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
50%	50%	50%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
66.7%	50%	25%	0.1%	0%	25%	0%	4
66.7%	50%	25%	0.1%	0%	25%	0%	5
80%	50%	12.5%	0.1%	0%	37.5%	0%	6
80%	50%	12.5%	0.1%	0%	37.5%	0%	7
88.9%	50%	6.2%	0.1%	0%	43.7%	0%	8
88.9%	50%	6.2%	0.1%	0%	43.7%	0%	9
94.1%	50%	3.1%	0.1%	0%	46.8%	0%	10
94.1%	50%	3.1%	0.1%	0%	46.8%	0%	11
97%	50%	1.6%	0.1%	0%	48.4%	0%	12

Compiler

Compiled 10 to 9 computations (10% saved)

sample737.0ms (12%)

Memory

14.4MiB live, 1 040.7MiB allocated

Samples

464.0ms	8 255×	0	valid
10.0ms	231×	0	invalid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 250.0ms

ival-sub: 74.0ms (29.6% of total)

ival-sqrt: 63.0ms (25.2% of total)

ival-mult: 60.0ms (24% of total)

ival-add: 37.0ms (14.8% of total)

ival-true: 6.0ms (2.4% of total)

exact: 5.0ms (2% of total)

ival-assert: 3.0ms (1.2% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain75.0ms (1.2%)

Memory

-30.5MiB live, 125.8MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

26.0ms

512×

valid

Compiler

Compiled 72 to 35 computations (51.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-sqrt: 4.0ms (31% of total)

ival-sub: 3.0ms (23.3% of total)

ival-mult: 3.0ms (23.3% of total)

ival-add: 2.0ms (15.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess44.0ms (0.7%)

Memory

24.7MiB live, 62.1MiB allocated

Algorithm

1×	egg-herbie

Rules

336×	`lower-fma.f64`
336×	`lower-fma.f32`
212×	`sub-neg`
180×	`cancel-sign-sub-inv`
178×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	48
1	54	43
2	160	42
3	433	42
4	878	42
5	1222	42
6	1337	42
7	1357	42
0	7	8
0	11	8
1	19	8
2	38	8
3	65	8
4	129	8
5	247	8
6	389	8
7	437	8
8	460	8
0	460	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify13.0ms (0.2%)

Memory

10.6MiB live, 10.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 y (sqrt.f64 x))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	128	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Rules

336×	`lower-fma.f64`
336×	`lower-fma.f32`
144×	`lower-*.f32`
142×	`lower-*.f64`
112×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	19	20
2	38	20
3	65	20
4	129	20
5	247	20
6	389	20
7	437	20
8	460	20
0	460	19

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) y)
y
(sqrt.f64 x)

localize28.0ms (0.5%)

Memory

-15.3MiB live, 22.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0	(sqrt.f64 x)
accuracy	0.00390625	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
accuracy	0.25390625	(*.f64 y (sqrt.f64 x))

Samples

23.0ms

256×

valid

Compiler

Compiled 22 to 9 computations (59.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 2.0ms (32% of total)

ival-sqrt: 2.0ms (32% of total)

ival-sub: 1.0ms (16% of total)

ival-add: 1.0ms (16% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

4 → 72

Calls

Call 1

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

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

Calls

6 calls:

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

simplify114.0ms (1.9%)

Memory

6.6MiB live, 118.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 542×	`lower-fma.f64`
7 542×	`lower-fma.f32`
2 696×	`lower-*.f64`
2 696×	`lower-*.f32`
1 866×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	369
1	141	369
2	438	357
3	1298	357
4	4642	357
5	7358	357
0	8082	330

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (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 (* (sqrt x) (pow (sqrt -1) 2)))

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

rewrite166.0ms (2.7%)

Memory

-8.2MiB live, 226.6MiB allocated

Rules

6 324×	`lower-fma.f64`
6 324×	`lower-fma.f32`
4 236×	`lower-*.f32`
4 234×	`lower-*.f64`
2 084×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	11	17
1	46	17
2	357	17
3	5315	17
0	8974	16

Stop Event

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

Counts

4 → 252

Calls

Call 1

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

Outputs
(.f64 (/.f64 (fma.f64 (.f64 y x) (neg.f64 y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)))) (fma.f64 y (fma.f64 y x (.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (pow.f64 (.f64 y (-.f64 (.f64 y x) (.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (.f64 y (-.f64 (.f64 y x) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y (-.f64 (.f64 y x) (.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)))) (fma.f64 (.f64 y (-.f64 (.f64 y x) (.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))) (-.f64 (.f64 y (-.f64 (.f64 y x) (.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 y x) (neg.f64 y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (fma.f64 (*.f64 y x) (neg.f64 y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 (*.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (sqrt.f64 x) y (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal -1 binary64)) (fma.f64 (.f64 y x) (neg.f64 y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 (.f64 y x) (neg.f64 y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 y x) (neg.f64 y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 y x) y (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) (/.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))))
(.f64 (fma.f64 (.f64 y x) y (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) (.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (pow.f64 (fma.f64 (.f64 y x) y (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) #s(literal -1 binary64))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))
(.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (sqrt.f64 x) y (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (-.f64 (.f64 (.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 x (.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal -1 binary64))) (fma.f64 (*.f64 y x) y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal -1 binary64))) (+.f64 (fma.f64 (pow.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 y x) y (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) #s(literal -1 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 9/2 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (pow.f64 (fma.f64 (.f64 y x) y (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 y (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64))))
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(fma.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) #s(literal -1 binary64)))
(exp.f64 (log1p.f64 x))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 1 binary64) x)
(*.f64 (exp.f64 (log.f64 y)) (sqrt.f64 x))
(.f64 (.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(*.f64 (sqrt.f64 x) (exp.f64 (log.f64 y)))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 x) y)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (*.f64 (log.f64 x) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (sqrt.f64 x)))

eval53.0ms (0.9%)

Memory: 13.5MiB live, 93.3MiB allocated
Compiler: Compiled 5 943 to 749 computations (87.4% saved)

prune49.0ms (0.8%)

Memory

-19.0MiB live, 97.4MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	313	11	324
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	314	11	325

Accuracy

100.0%

Counts

325 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
	74.5%	(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (neg.f64 (/.f64 (.f64 (.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))))
▶	99.8%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
	42.4%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) y (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (-.f64 (.f64 (.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
	99.8%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
▶	58.1%	(.f64 (fma.f64 (.f64 y x) y (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) (/.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))))
▶	93.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)))
▶	65.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
▶	62.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
	65.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
	39.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))

Compiler

Compiled 316 to 198 computations (37.3% saved)

simplify137.0ms (2.2%)

Memory

43.7MiB live, 197.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 (.f64 y x) y (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))
cost-diff	5888	(.f64 (fma.f64 (.f64 y x) y (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) (/.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
cost-diff	0	(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))

Rules

10 054×	`lower-fma.f32`
10 042×	`lower-fma.f64`
3 980×	`lower-*.f32`
3 974×	`lower-*.f64`
2 640×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	225
0	45	188
1	79	188
2	153	188
3	426	188
4	2052	188
5	5853	188
0	8267	188

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
x
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
y
(sqrt.f64 x)
x
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
#s(literal -1 binary64)
(.f64 (fma.f64 (.f64 y x) y (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) (/.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))))
(fma.f64 (.f64 y x) y (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))
(*.f64 y x)
y
x
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))
(fma.f64 (sqrt.f64 x) y x)
(sqrt.f64 x)
(/.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 y x) y (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))

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

localize101.0ms (1.7%)

Memory

-59.9MiB live, 145.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.12890625	(fma.f64 (sqrt.f64 x) y x)
accuracy	3.6015625000000004	(fma.f64 (.f64 y x) y (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))
accuracy	24.77280118239299	(.f64 (fma.f64 (.f64 y x) y (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) (/.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))))
accuracy	25.256545953397353	(/.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 y x) y (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))))
accuracy	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)))
accuracy	0.09375	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
accuracy	0.1015625	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	4.351905244005777	(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
accuracy	0	(sqrt.f64 x)
accuracy	0.140625	(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
accuracy	21.965109542103683	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	23.984691538555104	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0	(sqrt.f64 x)
accuracy	0.11328125	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))

Samples

47.0ms

256×

valid

Compiler

Compiled 225 to 27 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 11.0ms (34.6% of total)

ival-add: 7.0ms (22% of total)

ival-sub: 6.0ms (18.9% of total)

ival-sqrt: 4.0ms (12.6% of total)

ival-div: 3.0ms (9.4% of total)

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

exact: 0.0ms (0% of total)

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

series64.0ms (1%)

Memory

-16.8MiB live, 58.2MiB allocated

Counts

16 → 348

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	x	@	0	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (sqrt (/ 1 x)) y) -1) x) 1) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (* (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (/ (+ (* (sqrt x) y) (- 1 x)) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))))) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (* y x) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x))) (/ (+ (* (sqrt x) y) (- 1 x)) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x))))) (+ (* (sqrt x) y) x))
5.0ms	x	@	-inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (sqrt (/ 1 x)) y) -1) x) 1) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (* (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (/ (+ (* (sqrt x) y) (- 1 x)) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))))) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (* y x) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x))) (/ (+ (* (sqrt x) y) (- 1 x)) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x))))) (+ (* (sqrt x) y) x))
4.0ms	x	@	inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (sqrt (/ 1 x)) y) -1) x) 1) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (* (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (/ (+ (* (sqrt x) y) (- 1 x)) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))))) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (* y x) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x))) (/ (+ (* (sqrt x) y) (- 1 x)) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x))))) (+ (* (sqrt x) y) x))
4.0ms	y	@	-inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (sqrt (/ 1 x)) y) -1) x) 1) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (* (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (/ (+ (* (sqrt x) y) (- 1 x)) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))))) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (* y x) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x))) (/ (+ (* (sqrt x) y) (- 1 x)) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x))))) (+ (* (sqrt x) y) x))
3.0ms	y	@	0	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (sqrt (/ 1 x)) y) -1) x) 1) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (* (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (/ (+ (* (sqrt x) y) (- 1 x)) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))))) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (* y x) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x))) (/ (+ (* (sqrt x) y) (- 1 x)) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x))))) (+ (* (sqrt x) y) x))

simplify491.0ms (8%)

Memory

46.4MiB live, 197.1MiB allocated

Algorithm

1×	egg-herbie

Rules

7 188×	`lower-fma.f64`
7 188×	`lower-fma.f32`
4 582×	`lower-*.f64`
4 582×	`lower-*.f32`
3 348×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	464	6062
1	1495	5383
2	5261	5221
0	8542	4822

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 347

Calls

Call 1

Inputs
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
1
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(+ 1 (* -1 x))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
-1
(- (* (sqrt (/ 1 x)) y) 1)
(- (* (sqrt (/ 1 x)) y) 1)
(- (* (sqrt (/ 1 x)) y) 1)
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(pow (- 1 x) 2)
(+ (* -1 (* (sqrt x) (* y (- 1 x)))) (pow (- 1 x) 2))
(+ (* y (+ (* -1 (* (sqrt x) (- 1 x))) (* x y))) (pow (- 1 x) 2))
(+ (* y (+ (* -1 (* (sqrt x) (- 1 x))) (* x y))) (pow (- 1 x) 2))
(* x y)
(* x y)
(* x y)
(* x y)
(pow (- 1 x) 2)
(+ (* -1 (* (sqrt x) (* y (- 1 x)))) (pow (- 1 x) 2))
(+ (* -1 (* (sqrt x) (* y (- 1 x)))) (pow (- 1 x) 2))
(+ (* -1 (* (sqrt x) (* y (- 1 x)))) (pow (- 1 x) 2))
(/ 1 (- 1 x))
(+ (* y (- (* (sqrt x) (/ 1 (pow (- 1 x) 2))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2)))))) (/ 1 (- 1 x)))
(+ (* y (- (+ (* -1 (* y (+ (* -1 (* (sqrt x) (/ (- (* (sqrt x) (/ 1 (pow (- 1 x) 2))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2))))) (- 1 x)))) (/ x (pow (- 1 x) 3))))) (* (sqrt x) (/ 1 (pow (- 1 x) 2)))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2)))))) (/ 1 (- 1 x)))
(+ (* y (- (+ (* y (- (* -1 (* y (+ (* (sqrt x) (/ (+ (* -1 (* (sqrt x) (/ (- (* (sqrt x) (/ 1 (pow (- 1 x) 2))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2))))) (- 1 x)))) (/ x (pow (- 1 x) 3))) (- 1 x))) (/ (* x (- (* (sqrt x) (/ 1 (pow (- 1 x) 2))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2)))))) (pow (- 1 x) 2))))) (+ (* -1 (* (sqrt x) (/ (- (* (sqrt x) (/ 1 (pow (- 1 x) 2))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2))))) (- 1 x)))) (/ x (pow (- 1 x) 3))))) (* (sqrt x) (/ 1 (pow (- 1 x) 2)))) (* -1 (* (sqrt x) (/ 1 (pow (- 1 x) 2)))))) (/ 1 (- 1 x)))
x
(+ x (* (sqrt x) y))
(+ x (* (sqrt x) y))
(+ x (* (sqrt x) y))
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (/ 1 y)))
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y))))
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y))))
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y))))
(* (sqrt (/ 1 x)) y)
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* x (pow y 2))
(* (pow y 2) (+ x (* -1 (* (sqrt x) (/ (- 1 x) y)))))
(* (pow y 2) (+ x (+ (* -1 (* (sqrt x) (/ (- 1 x) y))) (/ (pow (- 1 x) 2) (pow y 2)))))
(* (pow y 2) (+ x (+ (* -1 (* (sqrt x) (/ (- 1 x) y))) (/ (pow (- 1 x) 2) (pow y 2)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* (sqrt x) (* y (- 1 x))))
(* y (+ (* -1 (* (sqrt x) (- 1 x))) (/ (pow (- 1 x) 2) y)))
(* y (+ (* -1 (* (sqrt x) (- 1 x))) (/ (pow (- 1 x) 2) y)))
(* y (+ (* -1 (* (sqrt x) (- 1 x))) (/ (pow (- 1 x) 2) y)))
(* (sqrt (/ 1 x)) (/ 1 y))
(/ (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (+ (* -1 (/ (- 1 x) (* x y))) (/ 1 y))) y)
(/ (- (+ (sqrt (/ 1 x)) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (* (- 1 x) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))))) (* (sqrt (/ 1 (pow x 3))) (pow (- 1 x) 2))) (pow y 2))) (/ 1 (* x y)))) (+ (* -1 (/ (- 1 x) (* x y))) (/ 1 y))) y)
(/ (- (+ (sqrt (/ 1 x)) (+ (* -1 (/ (+ (* (sqrt (/ 1 x)) (* (+ (* -1 (* (sqrt (/ 1 x)) (* (- 1 x) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))))) (* (sqrt (/ 1 (pow x 3))) (pow (- 1 x) 2))) (- 1 x))) (/ (* (pow (- 1 x) 2) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))) x)) (pow y 3))) (/ 1 (* x y)))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))) (pow y 2)))) (+ (* -1 (/ (- 1 x) (* x y))) (+ (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 2) (pow y 2))) (/ 1 y))))) y)
(* (sqrt x) y)
(* y (+ (sqrt x) (/ x y)))
(* y (+ (sqrt x) (/ x y)))
(* y (+ (sqrt x) (/ x y)))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* (sqrt x) y)
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(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* (sqrt x) y)
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))
(* (sqrt (/ 1 x)) y)
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* x (pow y 2))
(* (pow y 2) (+ x (* -1 (* (sqrt x) (/ (- 1 x) y)))))
(* (pow y 2) (+ x (* -1 (/ (+ (* -1 (/ (pow (- 1 x) 2) y)) (* (sqrt x) (- 1 x))) y))))
(* (pow y 2) (+ x (* -1 (/ (+ (* -1 (/ (pow (- 1 x) 2) y)) (* (sqrt x) (- 1 x))) y))))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* (sqrt x) (* y (- 1 x))))
(* -1 (* y (+ (* -1 (/ (pow (- 1 x) 2) y)) (* (sqrt x) (- 1 x)))))
(* -1 (* y (+ (* -1 (/ (pow (- 1 x) 2) y)) (* (sqrt x) (- 1 x)))))
(* -1 (* y (+ (* -1 (/ (pow (- 1 x) 2) y)) (* (sqrt x) (- 1 x)))))
(* (sqrt (/ 1 x)) (/ 1 y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x)))) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (pow (- 1 x) 2) y))) (+ (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))) y)) (/ 1 x))) (+ 1 (* -1 (/ (- 1 x) x)))) y))) y))
(* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (* (- 1 x) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))))) (- 1 x)) y))) (/ (* (pow (- 1 x) 2) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x))))) (* x y))) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (- 1 x) 2))) (* (sqrt (/ 1 x)) (* (- 1 x) (- (/ 1 x) (+ 1 (* -1 (/ (- 1 x) x)))))))) y)) (/ 1 x)) (+ 1 (* -1 (/ (- 1 x) x)))) y))) y))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ x y)))))
(+ 1 (* (sqrt x) y))
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(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
1
(+ 1 (* -1 x))
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(+ 1 (* (sqrt x) y))
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(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
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(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
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(* (sqrt (/ 1 x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(- 1 (* (sqrt x) y))
(- (+ 1 (* x (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1))) (* (sqrt x) y))
(- (+ 1 (* x (- (+ x (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2))) 1))) (* (sqrt x) y))
(- (+ 1 (* x (- (+ x (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2))) 1))) (* (sqrt x) y))
(* x y)
(* x y)
(* x y)
(* x y)
(- 1 (* (sqrt x) y))
(- (+ 1 (* x (- (* -1 (- 1 (* (sqrt x) y))) 1))) (* (sqrt x) y))
(- (+ 1 (* x (- (+ x (* -1 (- 1 (* (sqrt x) y)))) 1))) (* (sqrt x) y))
(- (+ 1 (* x (- (+ x (* -1 (- 1 (* (sqrt x) y)))) 1))) (* (sqrt x) y))
(/ (+ 1 (* (sqrt x) y)) (- 1 (* (sqrt x) y)))
(+ (* -1 (* x (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))))) (+ (* (sqrt x) (/ y (- 1 (* (sqrt x) y)))) (/ 1 (- 1 (* (sqrt x) y)))))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (* (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (- 1 (* (sqrt x) y)))) (+ (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))))) (+ (* (sqrt x) (/ y (- 1 (* (sqrt x) y)))) (/ 1 (- 1 (* (sqrt x) y)))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (- 1 (* (sqrt x) y)))) (+ (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (- 1 (* (sqrt x) y)))) (* -1 (/ (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))) (- 1 (* (sqrt x) y))))))) (+ (* -1 (/ (* (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (- 1 (* (sqrt x) y)))) (+ (* (sqrt x) (/ y (pow (- 1 (* (sqrt x) y)) 2))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))))) (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* (+ 1 (* (sqrt x) y)) (- (+ (* -1 (- 1 (* (sqrt x) y))) (pow y 2)) 1)) (pow (- 1 (* (sqrt x) y)) 2))))) (+ (* (sqrt x) (/ y (- 1 (* (sqrt x) y)))) (/ 1 (- 1 (* (sqrt x) y)))))
(* (sqrt x) y)
(+ x (* (sqrt x) y))
(+ x (* (sqrt x) y))
(+ x (* (sqrt x) y))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(sqrt x)
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(sqrt x)
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(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
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(* x (- (* (sqrt (/ 1 x)) y) 1))
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(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
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(sqrt (/ 1 x))
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(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y)))
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(* (pow x 2) (- (+ 1 (+ (* -1 (/ (+ 1 (* (sqrt (/ 1 x)) y)) x)) (+ (* (sqrt (/ 1 x)) y) (+ (/ 1 (pow x 2)) (/ (pow y 2) x))))) (/ 1 x)))
(* (pow x 2) (- (+ 1 (+ (* -1 (/ (+ 1 (* (sqrt (/ 1 x)) y)) x)) (+ (* (sqrt (/ 1 x)) y) (+ (/ 1 (pow x 2)) (/ (pow y 2) x))))) (/ 1 x)))
(* x y)
(* x y)
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(* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y)))
(* (pow x 2) (- (+ 1 (+ (* -1 (/ (+ 1 (* (sqrt (/ 1 x)) y)) x)) (* (sqrt (/ 1 x)) y))) (/ 1 x)))
(* (pow x 2) (- (+ 1 (+ (* -1 (/ (+ 1 (* (sqrt (/ 1 x)) y)) x)) (+ (* (sqrt (/ 1 x)) y) (/ 1 (pow x 2))))) (/ 1 x)))
(* (pow x 2) (- (+ 1 (+ (* -1 (/ (+ 1 (* (sqrt (/ 1 x)) y)) x)) (+ (* (sqrt (/ 1 x)) y) (/ 1 (pow x 2))))) (/ 1 x)))
(/ (- (* (sqrt (/ 1 x)) y) 1) (* x (+ 1 (* (sqrt (/ 1 x)) y))))
(/ (- (+ (* (sqrt (/ 1 x)) (/ y (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (* x (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (/ (* (- (* (sqrt (/ 1 x)) y) 1) (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1)) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))))) x)
(/ (- (+ (* (sqrt (/ 1 x)) (/ y (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ 1 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))))) (+ (* (sqrt (/ 1 (pow x 5))) (/ y (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (+ (/ (* (- (* (sqrt (/ 1 x)) y) 1) (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1)) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ (* (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1) (- (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (/ (* (- (* (sqrt (/ 1 x)) y) 1) (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1)) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y)))))))) x)
(/ (- (+ (* (sqrt (/ 1 x)) (/ y (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ 1 (* x (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ 1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ (* (- (* (sqrt (/ 1 x)) y) 1) (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1)) (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3)))))) (+ (* (sqrt (/ 1 (pow x 5))) (/ y (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (+ (/ (* (- (* (sqrt (/ 1 x)) y) 1) (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1)) (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ (* (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1) (- (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (/ (* (- (* (sqrt (/ 1 x)) y) 1) (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1)) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y)))) (/ (* (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1) (- (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)) (+ (* (sqrt (/ 1 x)) (/ y (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ (* (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1) (- (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (/ (* (- (* (sqrt (/ 1 x)) y) 1) (- (+ (* -1 (+ 1 (* (sqrt (/ 1 x)) y))) (pow y 2)) 1)) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) (+ 1 (* (sqrt (/ 1 x)) y)))))) (* (pow x 3) (+ 1 (* (sqrt (/ 1 x)) y)))))))))) x)
(* x (+ 1 (* (sqrt (/ 1 x)) y)))
(* x (+ 1 (* (sqrt (/ 1 x)) y)))
(* x (+ 1 (* (sqrt (/ 1 x)) y)))
(* x (+ 1 (* (sqrt (/ 1 x)) y)))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 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 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x))))
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x))))
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)) (/ 1 x))))
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)
(* (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 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* (pow x 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(* (pow x 2) (- (+ 1 (* -1 (/ (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) x))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(* (pow x 2) (- (+ 1 (* -1 (/ (- (+ 2 (* -1 (pow y 2))) (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))) x))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(* (pow x 2) (- (+ 1 (* -1 (/ (- (+ 2 (* -1 (pow y 2))) (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))) x))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* (pow x 2) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(* (pow x 2) (- (+ 1 (* -1 (/ (- 2 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) x))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(* (pow x 2) (- (+ 1 (* -1 (/ (- 2 (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))) x))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(* (pow x 2) (- (+ 1 (* -1 (/ (- 2 (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))) x))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
(* -1 (/ (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))
(* -1 (/ (+ (* -1 (/ (- (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (+ (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x))
(* -1 (/ (+ (* -1 (/ (- (+ (* (sqrt (/ 1 (pow x 3))) (/ (* y (pow (sqrt -1) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (* x (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ (* (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (* x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))) (/ (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (+ (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)) (+ (* -1 (/ (* (+ (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)) (/ (* (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (+ (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)) (/ (* (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ (* (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (- (+ 2 (* -1 (pow y 2))) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (+ (* (sqrt (/ 1 x)) (/ (* y (pow (sqrt -1) 2)) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))

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

rewrite266.0ms (4.3%)

Memory

-3.4MiB live, 315.6MiB allocated

Rules

5 668×	`lower-fma.f32`
5 656×	`lower-fma.f64`
4 184×	`lower-/.f32`
4 180×	`lower-/.f64`
3 998×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	183
0	45	146
1	202	142
2	1661	142
0	8335	142

Stop Event

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

Counts

16 → 775

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
(-.f64 #s(literal 1 binary64) x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(.f64 (fma.f64 (.f64 y x) y (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) (/.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))))
(fma.f64 (.f64 y x) y (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))
(*.f64 y x)
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
(/.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 y x) y (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))))
(fma.f64 (sqrt.f64 x) y x)

Outputs
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (-.f64 (.f64 (.f64 y x) y) (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 y x) y)) (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (sqrt.f64 x) x) #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (pow.f64 (+.f64 (fma.f64 y (sqrt.f64 x) x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (sqrt.f64 x) x) #s(literal 3 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (pow.f64 (fma.f64 (fma.f64 y (sqrt.f64 x) x) (+.f64 (fma.f64 y (sqrt.f64 x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (neg.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 y y) x (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x))) (fma.f64 (.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) x (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 y x) y)))) (/.f64 (fma.f64 (.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) x (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 (.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (/.f64 (fma.f64 (.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x))) (+.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)) x)))
(.f64 (/.f64 (fma.f64 (.f64 y y) x (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) (fma.f64 (.f64 y y) x (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 (fma.f64 (.f64 y y) x (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 (.f64 y y) x (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (.f64 (*.f64 y x) y)))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 y y) x (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 (.f64 y y) x (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 (*.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (pow.f64 (+.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 y y) x (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 (.f64 y y) x (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)) (-.f64 #s(literal 1 binary64) x))) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))) (pow.f64 (fma.f64 (.f64 y (sqrt.f64 x)) (+.f64 (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
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(pow.f64 (/.f64 (fma.f64 (.f64 y y) x (.f64 x (-.f64 x (*.f64 y (sqrt.f64 x))))) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 y x) y) (fma.f64 y (sqrt.f64 x) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (fma.f64 y (sqrt.f64 x) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 y x) y) (fma.f64 y (sqrt.f64 x) (neg.f64 x))) (/.f64 (.f64 (.f64 y x) y) (fma.f64 y (sqrt.f64 x) (neg.f64 x))) (fma.f64 (/.f64 (.f64 x x) (fma.f64 y (sqrt.f64 x) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 y (sqrt.f64 x) (neg.f64 x))) (.f64 (/.f64 (.f64 (.f64 y x) y) (fma.f64 y (sqrt.f64 x) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 y (sqrt.f64 x) (neg.f64 x)))))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) x (*.f64 (neg.f64 x) x)))) (neg.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (.f64 y y) x (.f64 x (-.f64 x (.f64 y (sqrt.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 y x) y))) (neg.f64 (-.f64 x (.f64 y (sqrt.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 y y) x (.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 y y) x (.f64 x (-.f64 x (*.f64 y (sqrt.f64 x))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y x) y) (fma.f64 y (sqrt.f64 x) (neg.f64 x))) (.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) (*.f64 x x))) (pow.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) x (*.f64 (neg.f64 x) x))) (fma.f64 y (sqrt.f64 x) (neg.f64 x)))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 y y) x (.f64 x (-.f64 x (.f64 y (sqrt.f64 x))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y x) y)) (-.f64 x (.f64 y (sqrt.f64 x))))
(/.f64 (neg.f64 (fma.f64 (.f64 y y) x (.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (.f64 (.f64 y x) y) (*.f64 y (pow.f64 x #s(literal 3/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 y y) x (.f64 x (-.f64 x (*.f64 y (sqrt.f64 x)))))))
(/.f64 (fma.f64 (.f64 y y) x (.f64 (neg.f64 x) x)) (fma.f64 y (sqrt.f64 x) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 y x) y) (*.f64 y (pow.f64 x #s(literal 3/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 y y) x (.f64 x (-.f64 x (*.f64 y (sqrt.f64 x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) (fma.f64 (.f64 y y) x (.f64 (neg.f64 x) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 y y) x (.f64 x (-.f64 x (*.f64 y (sqrt.f64 x))))) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) (fma.f64 (.f64 y y) x (.f64 (neg.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) x (.f64 x (-.f64 x (*.f64 y (sqrt.f64 x))))) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 y (sqrt.f64 x)))
(fma.f64 y (sqrt.f64 x) x)
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) y x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (sqrt.f64 x)))
(fma.f64 x #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y (sqrt.f64 x)))) (/.f64 (.f64 (.f64 y x) y) (-.f64 x (*.f64 y (sqrt.f64 x)))))
(-.f64 (/.f64 (.f64 (.f64 y x) y) (fma.f64 y (sqrt.f64 x) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 y (sqrt.f64 x) (neg.f64 x))))
(+.f64 (*.f64 y (sqrt.f64 x)) x)
(+.f64 x (*.f64 y (sqrt.f64 x)))

eval473.0ms (7.7%)

Memory: 28.2MiB live, 524.6MiB allocated
Compiler: Compiled 89 365 to 3 967 computations (95.6% saved)

prune225.0ms (3.7%)

Memory

-10.0MiB live, 434.7MiB allocated

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	1 859	8	1 867
Fresh	5	1	6
Picked	3	2	5
Done	0	0	0
Total	1 867	11	1 878

Accuracy

100.0%

Counts

1 878 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.6%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
	16.2%	(.f64 (fma.f64 (.f64 y x) y (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) #s(approx (/ (+ ( (sqrt x) y) (- 1 x)) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))
▶	93.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) x #s(literal 1 binary64)))
	58.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x #s(literal 1 binary64)))
✓	65.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
▶	43.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (fma.f64 (*.f64 y x) y #s(literal -1 binary64)) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))))
✓	62.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶	39.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))
	35.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
▶	28.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
▶	61.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))

Compiler

Compiled 186 to 155 computations (16.7% saved)

simplify104.0ms (1.7%)

Memory

-4.6MiB live, 72.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 (*.f64 y x) y #s(literal -1 binary64))
cost-diff	0	(/.f64 (fma.f64 (*.f64 y x) y #s(literal -1 binary64)) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (fma.f64 (*.f64 y x) y #s(literal -1 binary64)) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))))
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* y (sqrt x)) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 y (sqrt.f64 x))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))
cost-diff	0	#s(approx (- 1 x) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
cost-diff	0	(/.f64 y (sqrt.f64 x))
cost-diff	0	(+.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64))
cost-diff	0	(fma.f64 (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) x #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) x #s(literal 1 binary64)))

Rules

1 768×	`lower-fma.f32`
1 760×	`lower-fma.f64`
1 000×	`lower-*.f32`
996×	`lower-*.f64`
812×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	199
0	44	199
1	65	199
2	99	199
3	152	199
4	246	199
5	426	199
6	938	199
7	2222	199
8	2428	199
9	2839	199
10	3398	199
11	3575	199
12	3585	199
13	3585	199
14	3585	199
0	3585	192

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) x #s(literal 1 binary64))
(+.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64))
(/.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
#s(approx (+ (* y (sqrt x)) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 y x)
y
x
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (fma.f64 (*.f64 y x) y #s(literal -1 binary64)) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 y x) y #s(literal -1 binary64)) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)))
(fma.f64 (*.f64 y x) y #s(literal -1 binary64))
(*.f64 y x)
y
x
#s(literal -1 binary64)
(fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))
(sqrt.f64 x)

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

localize99.0ms (1.6%)

Memory

0.1MiB live, 116.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0546875	(fma.f64 (*.f64 y x) y #s(literal -1 binary64))
accuracy	0.140625	(fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))
accuracy	15.954903453112495	(/.f64 (fma.f64 (*.f64 y x) y #s(literal -1 binary64)) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)))
accuracy	21.965109542103683	#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (fma.f64 (*.f64 y x) y #s(literal -1 binary64)) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))))
accuracy	0	#s(approx (+ (* y (sqrt x)) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
accuracy	0.1015625	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	4.513413814922965	(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
accuracy	21.965109542103683	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
accuracy	0	(sqrt.f64 x)
accuracy	0.25390625	(*.f64 y (sqrt.f64 x))
accuracy	38.889848299088115	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))
accuracy	23.984691538555104	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
accuracy	32.60649423377204	#s(approx (- 1 x) #s(literal 1 binary64))
accuracy	0	(sqrt.f64 x)
accuracy	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) x #s(literal 1 binary64)))
accuracy	0.234375	(/.f64 y (sqrt.f64 x))
accuracy	4.351905244005777	(fma.f64 (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) x #s(literal 1 binary64))

Samples

83.0ms

256×

valid

Compiler

Compiled 144 to 24 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-sub: 26.0ms (38.1% of total)

ival-sqrt: 22.0ms (32.2% of total)

ival-add: 7.0ms (10.3% of total)

ival-mult: 7.0ms (10.3% of total)

ival-div: 5.0ms (7.3% of total)

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

exact: 0.0ms (0% of total)

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

series92.0ms (1.5%)

Memory

0.5MiB live, 40.8MiB allocated

Counts

18 → 396

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((+ (- 1 x) (* y (sqrt x))) (+ (* (+ (/ y (sqrt x)) -1) x) 1) (+ (/ y (sqrt x)) -1) (/ y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (* y (sqrt x)) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (+ (- 1 x) (* y (sqrt x))) (/ (+ (* (* y x) y) -1) (+ (* y (sqrt x)) -1)) (+ (* (* y x) y) -1) (sqrt (/ 1 x)) (+ (* y (sqrt x)) -1))
4.0ms	x	@	-inf	((+ (- 1 x) (* y (sqrt x))) (+ (* (+ (/ y (sqrt x)) -1) x) 1) (+ (/ y (sqrt x)) -1) (/ y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (* y (sqrt x)) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (+ (- 1 x) (* y (sqrt x))) (/ (+ (* (* y x) y) -1) (+ (* y (sqrt x)) -1)) (+ (* (* y x) y) -1) (sqrt (/ 1 x)) (+ (* y (sqrt x)) -1))
2.0ms	y	@	-inf	((+ (- 1 x) (* y (sqrt x))) (+ (* (+ (/ y (sqrt x)) -1) x) 1) (+ (/ y (sqrt x)) -1) (/ y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (* y (sqrt x)) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (+ (- 1 x) (* y (sqrt x))) (/ (+ (* (* y x) y) -1) (+ (* y (sqrt x)) -1)) (+ (* (* y x) y) -1) (sqrt (/ 1 x)) (+ (* y (sqrt x)) -1))
2.0ms	y	@	0	((+ (- 1 x) (* y (sqrt x))) (+ (* (+ (/ y (sqrt x)) -1) x) 1) (+ (/ y (sqrt x)) -1) (/ y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (* y (sqrt x)) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (+ (- 1 x) (* y (sqrt x))) (/ (+ (* (* y x) y) -1) (+ (* y (sqrt x)) -1)) (+ (* (* y x) y) -1) (sqrt (/ 1 x)) (+ (* y (sqrt x)) -1))
2.0ms	y	@	inf	((+ (- 1 x) (* y (sqrt x))) (+ (* (+ (/ y (sqrt x)) -1) x) 1) (+ (/ y (sqrt x)) -1) (/ y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (* y (sqrt x)) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (+ (- 1 x) (* y (sqrt x))) (/ (+ (* (* y x) y) -1) (+ (* y (sqrt x)) -1)) (+ (* (* y x) y) -1) (sqrt (/ 1 x)) (+ (* y (sqrt x)) -1))

simplify203.0ms (3.3%)

Memory

5.7MiB live, 204.2MiB allocated

Algorithm

1×	egg-herbie

Rules

13 802×	`lower-fma.f64`
13 802×	`lower-fma.f32`
4 428×	`lower-*.f64`
4 428×	`lower-*.f32`
2 272×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	175	3023
1	541	2815
2	1753	2785
3	7150	2784
0	8067	2514

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

Inputs
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(+ 1 (* -1 x))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
-1
(- (* (sqrt (/ 1 x)) y) 1)
(- (* (sqrt (/ 1 x)) y) 1)
(- (* (sqrt (/ 1 x)) y) 1)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
1
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
1
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(* x y)
(* x y)
(* x y)
(* x y)
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
1
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
-1
(- (* x (pow y 2)) 1)
(- (* x (pow y 2)) 1)
(- (* x (pow y 2)) 1)
-1
(- (* (sqrt x) y) 1)
(- (* (sqrt x) y) 1)
(- (* (sqrt x) y) 1)
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y))))
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y))))
(* y (+ (sqrt x) (+ (* -1 (/ x y)) (/ 1 y))))
(* (sqrt (/ 1 x)) y)
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(* y (- (sqrt (/ 1 x)) (/ 1 y)))
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (/ 1 y)))
(* (sqrt x) y)
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (/ 1 y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (/ 1 y)))
(* y (+ (sqrt x) (/ 1 y)))
(* x (pow y 2))
(* (pow y 2) (- x (/ 1 (pow y 2))))
(* (pow y 2) (- x (/ 1 (pow y 2))))
(* (pow y 2) (- x (/ 1 (pow y 2))))
(* (sqrt x) y)
(* y (- (sqrt x) (/ 1 y)))
(* y (- (sqrt x) (/ 1 y)))
(* y (- (sqrt x) (/ 1 y)))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 x)) y)))))
(* (sqrt (/ 1 x)) y)
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* (sqrt x) y)
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* (sqrt x) y)
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* x y)
(* x y)
(* x y)
(* x y)
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* (sqrt x) y)
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))
(* x (pow y 2))
(* (pow y 2) (- x (/ 1 (pow y 2))))
(* (pow y 2) (- x (/ 1 (pow y 2))))
(* (pow y 2) (- x (/ 1 (pow y 2))))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt x)) (/ 1 y))))
(* -1 (* y (+ (* -1 (sqrt x)) (/ 1 y))))
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(* (sqrt (/ 1 x)) y)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(/ (+ (* -1 x) (* (sqrt x) y)) x)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(+ 1 (* (sqrt x) y))
(* x y)
(* x y)
(* x y)
(* x y)
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(/ -1 (- (* (sqrt x) y) 1))
(- (/ (* x (pow y 2)) (- (* (sqrt x) y) 1)) (/ 1 (- (* (sqrt x) y) 1)))
(- (/ (* x (pow y 2)) (- (* (sqrt x) y) 1)) (/ 1 (- (* (sqrt x) y) 1)))
(- (/ (* x (pow y 2)) (- (* (sqrt x) y) 1)) (/ 1 (- (* (sqrt x) y) 1)))
-1
(- (* x (pow y 2)) 1)
(- (* x (pow y 2)) 1)
(- (* x (pow y 2)) 1)
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(- (* (sqrt x) y) 1)
(- (* (sqrt x) y) 1)
(- (* (sqrt x) y) 1)
(- (* (sqrt x) y) 1)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(- (* (sqrt (/ 1 x)) y) 1)
(- (* (sqrt (/ 1 x)) y) 1)
(- (* (sqrt (/ 1 x)) y) 1)
(- (* (sqrt (/ 1 x)) y) 1)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* (sqrt x) y)
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* (sqrt x) y)
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* (sqrt x) y)
(+ 1 (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 y))) (* (sqrt x) y)))
(+ 1 (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* (sqrt x) y) (* (sqrt (/ 1 (pow x 3))) (/ (+ x (* -1 (* (sqrt x) (/ 1 y)))) y)))))
(- (+ 1 (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 y))) (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow y 3)))) (+ (* (sqrt x) y) (/ 1 (* x (pow y 2))))))) (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (+ x (* -1 (* (sqrt x) (/ 1 y)))) y))))
(* x (pow y 2))
(* x (- (pow y 2) (/ 1 x)))
(* x (- (pow y 2) (/ 1 x)))
(* x (- (pow y 2) (/ 1 x)))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt x) y)
(* x (- (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* x (- (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* x (- (* (sqrt (/ 1 x)) y) (/ 1 x)))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) y) 1)) (/ 1 x))))
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) y) 1)) (/ 1 x))))
(* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) y) 1)) (/ 1 x))))
(- (* (sqrt (/ 1 x)) y) 1)
(- (* (sqrt (/ 1 x)) y) 1)
(- (* (sqrt (/ 1 x)) y) 1)
(- (* (sqrt (/ 1 x)) y) 1)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (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 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* (sqrt x) (* y (pow (sqrt -1) 2)))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* (sqrt x) y))
(+ (* -1 (* (sqrt x) y)) (* -1 (/ (- (* -1 (* (sqrt x) (/ 1 y))) (* -1 (/ x (pow (sqrt -1) 2)))) x)))
(+ (* -1 (* (sqrt x) y)) (* -1 (/ (- (+ (* -1 (* (sqrt x) (/ 1 y))) (* -1 (* (sqrt (/ 1 x)) (/ (- (* -1 (* (sqrt x) (/ 1 y))) (* -1 (/ x (pow (sqrt -1) 2)))) y)))) (* -1 (/ x (pow (sqrt -1) 2)))) x)))
(+ (* -1 (* (sqrt x) y)) (* -1 (/ (- (+ (* -1 (* (sqrt x) (/ 1 y))) (* -1 (/ (- (* -1 (* (sqrt x) (/ 1 (* (pow y 3) (pow (sqrt -1) 2))))) (+ (* -1 (* (sqrt x) (/ (- (* -1 (* (sqrt x) (/ 1 y))) (* -1 (/ x (pow (sqrt -1) 2)))) y))) (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 4)))))) x))) (* -1 (/ x (pow (sqrt -1) 2)))) x)))
(* x (pow y 2))
(* -1 (* x (+ (* -1 (pow y 2)) (/ 1 x))))
(* -1 (* x (+ (* -1 (pow y 2)) (/ 1 x))))
(* -1 (* x (+ (* -1 (pow y 2)) (/ 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 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))

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

rewrite277.0ms (4.5%)

Memory

3.4MiB live, 310.9MiB allocated

Rules

10 240×	`lower-fma.f32`
10 232×	`lower-fma.f64`
3 810×	`lower-/.f32`
3 804×	`lower-/.f64`
3 668×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	176
0	44	173
1	171	168
2	1278	152
0	9362	138

Stop Event

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

Counts

18 → 793

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) x #s(literal 1 binary64))
(+.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64))
(/.f64 y (sqrt.f64 x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
#s(approx (+ (* y (sqrt x)) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 y x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (fma.f64 (*.f64 y x) y #s(literal -1 binary64)) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 y x) y #s(literal -1 binary64)) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)))
(fma.f64 (*.f64 y x) y #s(literal -1 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))

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

eval236.0ms (3.8%)

Memory: 31.2MiB live, 497.6MiB allocated
Compiler: Compiled 25 604 to 2 836 computations (88.9% saved)

prune349.0ms (5.7%)

Memory

-9.7MiB live, 349.5MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	1 284	4	1 288
Fresh	2	2	4
Picked	2	3	5
Done	0	2	2
Total	1 288	11	1 299

Accuracy

100.0%

Counts

1 299 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.6%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
	58.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)))
✓	65.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
▶	34.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (*.f64 y x) (sqrt.f64 x)))
✓	62.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶	32.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (/.f64 y (sqrt.f64 x)) x))
▶	39.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (/.f64 x (sqrt.f64 x))))
✓	39.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))
▶	35.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓	28.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
✓	61.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))

Compiler

Compiled 109 to 102 computations (6.4% saved)

simplify38.0ms (0.6%)

Memory

-4.8MiB live, 32.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 y x)
cost-diff	0	(/.f64 (*.f64 y x) (sqrt.f64 x))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (*.f64 y x) (sqrt.f64 x)))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(/.f64 y (sqrt.f64 x))
cost-diff	0	(*.f64 (/.f64 y (sqrt.f64 x)) x)
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (/.f64 y (sqrt.f64 x)) x))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(/.f64 x (sqrt.f64 x))
cost-diff	0	(*.f64 y (/.f64 x (sqrt.f64 x)))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (/.f64 x (sqrt.f64 x))))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- 1 x) (neg.f64 x))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- 1 x) (neg.f64 x))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))

Rules

592×	`lower-fma.f32`
590×	`lower-fma.f64`
430×	`times-frac`
352×	`lower-*.f32`
346×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	132
0	31	132
1	46	132
2	65	132
3	94	132
4	164	132
5	289	132
6	560	132
7	1203	132
8	1492	132
9	1522	132
10	1577	132
11	1589	132
0	1589	128

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(sqrt.f64 x)
x
y
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (/.f64 x (sqrt.f64 x))))
(*.f64 y (/.f64 x (sqrt.f64 x)))
y
(/.f64 x (sqrt.f64 x))
x
(sqrt.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (/.f64 y (sqrt.f64 x)) x))
(*.f64 (/.f64 y (sqrt.f64 x)) x)
(/.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (*.f64 y x) (sqrt.f64 x)))
(/.f64 (*.f64 y x) (sqrt.f64 x))
(*.f64 y x)
y
x
(sqrt.f64 x)

Outputs
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 y (sqrt.f64 x) #s(approx (- 1 x) (neg.f64 x)))
(sqrt.f64 x)
x
y
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (/.f64 x (sqrt.f64 x))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (/.f64 x (sqrt.f64 x)) y))
(*.f64 y (/.f64 x (sqrt.f64 x)))
(*.f64 (/.f64 x (sqrt.f64 x)) y)
y
(/.f64 x (sqrt.f64 x))
x
(sqrt.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (/.f64 y (sqrt.f64 x)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (/.f64 x (sqrt.f64 x)) y))
(*.f64 (/.f64 y (sqrt.f64 x)) x)
(*.f64 (/.f64 x (sqrt.f64 x)) y)
(/.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (*.f64 y x) (sqrt.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (/.f64 x (sqrt.f64 x)) y))
(/.f64 (*.f64 y x) (sqrt.f64 x))
(*.f64 (/.f64 x (sqrt.f64 x)) y)
(*.f64 y x)
y
x
(sqrt.f64 x)

localize69.0ms (1.1%)

Memory

-47.4MiB live, 65.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0	(sqrt.f64 x)
accuracy	8.69985121296403	(/.f64 (*.f64 y x) (sqrt.f64 x))
accuracy	38.889848299088115	#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (*.f64 y x) (sqrt.f64 x)))
accuracy	0	(sqrt.f64 x)
accuracy	0.234375	(/.f64 y (sqrt.f64 x))
accuracy	8.271432822121993	(*.f64 (/.f64 y (sqrt.f64 x)) x)
accuracy	38.889848299088115	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (/.f64 y (sqrt.f64 x)) x))
accuracy	0	(sqrt.f64 x)
accuracy	0.25390625	(*.f64 y (/.f64 x (sqrt.f64 x)))
accuracy	0.5078125	(/.f64 x (sqrt.f64 x))
accuracy	38.889848299088115	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (/.f64 x (sqrt.f64 x))))
accuracy	0	(neg.f64 x)
accuracy	23.984691538555104	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
accuracy	31.708706047070773	#s(approx (- 1 x) (neg.f64 x))
accuracy	0	(sqrt.f64 x)
accuracy	0	(neg.f64 x)
accuracy	0.11328125	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
accuracy	31.708706047070773	#s(approx (- 1 x) (neg.f64 x))

Samples

37.0ms

256×

valid

Compiler

Compiled 98 to 18 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-div: 11.0ms (44% of total)

ival-mult: 7.0ms (28% of total)

ival-add: 2.0ms (8% of total)

ival-sqrt: 2.0ms (8% of total)

ival-sub: 1.0ms (4% of total)

ival-neg: 1.0ms (4% of total)

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

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

exact: 0.0ms (0% of total)

series15.0ms (0.3%)

Memory

19.4MiB live, 19.4MiB allocated

Counts

14 → 288

Calls

Call 1

Inputs
#s(alt (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) (patch (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 y (/.f64 x (sqrt.f64 x)))) (patch #s(approx (+ (- 1 x) ( y (sqrt x))) (*.f64 y (/.f64 x (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (.f64 y (/.f64 x (sqrt.f64 x))) (patch (.f64 y (/.f64 x (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 x (sqrt.f64 x)) (patch (/.f64 x (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (/.f64 y (sqrt.f64 x)) x)) (patch #s(approx (+ (- 1 x) ( y (sqrt x))) (*.f64 (/.f64 y (sqrt.f64 x)) x)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 y (sqrt.f64 x)) x) (patch (.f64 (/.f64 y (sqrt.f64 x)) x) #<representation binary64>) () ())
#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (.f64 y x) (sqrt.f64 x))) (patch #s(approx (+ (- 1 x) ( y (sqrt x))) (/.f64 (*.f64 y x) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 y x) (sqrt.f64 x)) (patch (/.f64 (.f64 y x) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())

Outputs
#s(alt (- 1 x) (taylor 0 y) (#s(alt (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) (patch (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* (sqrt x) y)) x) (taylor 0 y) (#s(alt (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) (patch (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* (sqrt x) y)) x) (taylor 0 y) (#s(alt (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) (patch (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* (sqrt x) y)) x) (taylor 0 y) (#s(alt (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) (patch (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- 1 x) (taylor 0 y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* (sqrt x) y)) x) (taylor 0 y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* (sqrt x) y)) x) (taylor 0 y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* (sqrt x) y)) x) (taylor 0 y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- 1 x) (taylor 0 y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 y (/.f64 x (sqrt.f64 x)))) (patch #s(approx (+ (- 1 x) ( y (sqrt x))) (*.f64 y (/.f64 x (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* (sqrt x) y)) x) (taylor 0 y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 y (/.f64 x (sqrt.f64 x)))) (patch #s(approx (+ (- 1 x) ( y (sqrt x))) (*.f64 y (/.f64 x (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* (sqrt x) y)) x) (taylor 0 y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 y (/.f64 x (sqrt.f64 x)))) (patch #s(approx (+ (- 1 x) ( y (sqrt x))) (*.f64 y (/.f64 x (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* (sqrt x) y)) x) (taylor 0 y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 y (/.f64 x (sqrt.f64 x)))) (patch #s(approx (+ (- 1 x) ( y (sqrt x))) (*.f64 y (/.f64 x (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (.f64 y (/.f64 x (sqrt.f64 x))) (patch (.f64 y (/.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (.f64 y (/.f64 x (sqrt.f64 x))) (patch (.f64 y (/.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (.f64 y (/.f64 x (sqrt.f64 x))) (patch (.f64 y (/.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (.f64 y (/.f64 x (sqrt.f64 x))) (patch (.f64 y (/.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- 1 x) (taylor 0 y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (/.f64 y (sqrt.f64 x)) x)) (patch #s(approx (+ (- 1 x) ( y (sqrt x))) (*.f64 (/.f64 y (sqrt.f64 x)) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* (sqrt x) y)) x) (taylor 0 y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (/.f64 y (sqrt.f64 x)) x)) (patch #s(approx (+ (- 1 x) ( y (sqrt x))) (*.f64 (/.f64 y (sqrt.f64 x)) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* (sqrt x) y)) x) (taylor 0 y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (/.f64 y (sqrt.f64 x)) x)) (patch #s(approx (+ (- 1 x) ( y (sqrt x))) (*.f64 (/.f64 y (sqrt.f64 x)) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* (sqrt x) y)) x) (taylor 0 y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (/.f64 y (sqrt.f64 x)) x)) (patch #s(approx (+ (- 1 x) ( y (sqrt x))) (*.f64 (/.f64 y (sqrt.f64 x)) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (.f64 (/.f64 y (sqrt.f64 x)) x) (patch (.f64 (/.f64 y (sqrt.f64 x)) x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (.f64 (/.f64 y (sqrt.f64 x)) x) (patch (.f64 (/.f64 y (sqrt.f64 x)) x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (.f64 (/.f64 y (sqrt.f64 x)) x) (patch (.f64 (/.f64 y (sqrt.f64 x)) x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (.f64 (/.f64 y (sqrt.f64 x)) x) (patch (.f64 (/.f64 y (sqrt.f64 x)) x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor 0 y) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor 0 y) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor 0 y) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor 0 y) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 x) (taylor 0 y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (.f64 y x) (sqrt.f64 x))) (patch #s(approx (+ (- 1 x) ( y (sqrt x))) (/.f64 (*.f64 y x) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* (sqrt x) y)) x) (taylor 0 y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (.f64 y x) (sqrt.f64 x))) (patch #s(approx (+ (- 1 x) ( y (sqrt x))) (/.f64 (*.f64 y x) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* (sqrt x) y)) x) (taylor 0 y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (.f64 y x) (sqrt.f64 x))) (patch #s(approx (+ (- 1 x) ( y (sqrt x))) (/.f64 (*.f64 y x) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* (sqrt x) y)) x) (taylor 0 y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (.f64 y x) (sqrt.f64 x))) (patch #s(approx (+ (- 1 x) ( y (sqrt x))) (/.f64 (*.f64 y x) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (/.f64 (.f64 y x) (sqrt.f64 x)) (patch (/.f64 (.f64 y x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (/.f64 (.f64 y x) (sqrt.f64 x)) (patch (/.f64 (.f64 y x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (/.f64 (.f64 y x) (sqrt.f64 x)) (patch (/.f64 (.f64 y x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor 0 y) (#s(alt (/.f64 (.f64 y x) (sqrt.f64 x)) (patch (/.f64 (.f64 y x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) (patch (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) (taylor inf y) (#s(alt (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) (patch (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) (taylor inf y) (#s(alt (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) (patch (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) (taylor inf y) (#s(alt (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) (patch (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) (taylor inf y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) (taylor inf y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) (taylor inf y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 y (/.f64 x (sqrt.f64 x)))) (patch #s(approx (+ (- 1 x) ( y (sqrt x))) (*.f64 y (/.f64 x (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) (taylor inf y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 y (/.f64 x (sqrt.f64 x)))) (patch #s(approx (+ (- 1 x) ( y (sqrt x))) (*.f64 y (/.f64 x (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) (taylor inf y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 y (/.f64 x (sqrt.f64 x)))) (patch #s(approx (+ (- 1 x) ( y (sqrt x))) (*.f64 y (/.f64 x (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) (taylor inf y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 y (/.f64 x (sqrt.f64 x)))) (patch #s(approx (+ (- 1 x) ( y (sqrt x))) (*.f64 y (/.f64 x (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (.f64 y (/.f64 x (sqrt.f64 x))) (patch (.f64 y (/.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (.f64 y (/.f64 x (sqrt.f64 x))) (patch (.f64 y (/.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (.f64 y (/.f64 x (sqrt.f64 x))) (patch (.f64 y (/.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (.f64 y (/.f64 x (sqrt.f64 x))) (patch (.f64 y (/.f64 x (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (/.f64 y (sqrt.f64 x)) x)) (patch #s(approx (+ (- 1 x) ( y (sqrt x))) (*.f64 (/.f64 y (sqrt.f64 x)) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) (taylor inf y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (/.f64 y (sqrt.f64 x)) x)) (patch #s(approx (+ (- 1 x) ( y (sqrt x))) (*.f64 (/.f64 y (sqrt.f64 x)) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) (taylor inf y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (/.f64 y (sqrt.f64 x)) x)) (patch #s(approx (+ (- 1 x) ( y (sqrt x))) (*.f64 (/.f64 y (sqrt.f64 x)) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) (taylor inf y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (/.f64 y (sqrt.f64 x)) x)) (patch #s(approx (+ (- 1 x) ( y (sqrt x))) (*.f64 (/.f64 y (sqrt.f64 x)) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (.f64 (/.f64 y (sqrt.f64 x)) x) (patch (.f64 (/.f64 y (sqrt.f64 x)) x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (.f64 (/.f64 y (sqrt.f64 x)) x) (patch (.f64 (/.f64 y (sqrt.f64 x)) x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (.f64 (/.f64 y (sqrt.f64 x)) x) (patch (.f64 (/.f64 y (sqrt.f64 x)) x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (.f64 (/.f64 y (sqrt.f64 x)) x) (patch (.f64 (/.f64 y (sqrt.f64 x)) x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor inf y) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor inf y) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor inf y) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor inf y) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (.f64 y x) (sqrt.f64 x))) (patch #s(approx (+ (- 1 x) ( y (sqrt x))) (/.f64 (*.f64 y x) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) (taylor inf y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (.f64 y x) (sqrt.f64 x))) (patch #s(approx (+ (- 1 x) ( y (sqrt x))) (/.f64 (*.f64 y x) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) (taylor inf y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (.f64 y x) (sqrt.f64 x))) (patch #s(approx (+ (- 1 x) ( y (sqrt x))) (/.f64 (*.f64 y x) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y))) (taylor inf y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (.f64 y x) (sqrt.f64 x))) (patch #s(approx (+ (- 1 x) ( y (sqrt x))) (/.f64 (*.f64 y x) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (/.f64 (.f64 y x) (sqrt.f64 x)) (patch (/.f64 (.f64 y x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (/.f64 (.f64 y x) (sqrt.f64 x)) (patch (/.f64 (.f64 y x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (/.f64 (.f64 y x) (sqrt.f64 x)) (patch (/.f64 (.f64 y x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor inf y) (#s(alt (/.f64 (.f64 y x) (sqrt.f64 x)) (patch (/.f64 (.f64 y x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor -inf y) (#s(alt (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) (patch (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt x) y) (taylor -inf x) (#s(alt (/.f64 (.f64 y x) (sqrt.f64 x)) (patch (/.f64 (.f64 y x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor -inf x) (#s(alt (/.f64 (.f64 y x) (sqrt.f64 x)) (patch (/.f64 (.f64 y x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) y) (taylor -inf x) (#s(alt (/.f64 (.f64 y x) (sqrt.f64 x)) (patch (/.f64 (.f64 y x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* y (/ x (sqrt x))) (/ x (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (* (/ y (sqrt x)) x) (/ y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (/ (* y x) (sqrt x)) (* y x))
1.0ms	y	@	-inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* y (/ x (sqrt x))) (/ x (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (* (/ y (sqrt x)) x) (/ y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (/ (* y x) (sqrt x)) (* y x))
1.0ms	y	@	inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* y (/ x (sqrt x))) (/ x (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (* (/ y (sqrt x)) x) (/ y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (/ (* y x) (sqrt x)) (* y x))
1.0ms	y	@	0	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* y (/ x (sqrt x))) (/ x (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (* (/ y (sqrt x)) x) (/ y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (/ (* y x) (sqrt x)) (* y x))
1.0ms	x	@	inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* y (/ x (sqrt x))) (/ x (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (* (/ y (sqrt x)) x) (/ y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (/ (* y x) (sqrt x)) (* y x))

simplify123.0ms (2%)

Memory

-3.1MiB live, 116.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6 710×	`lower-fma.f64`
6 710×	`lower-fma.f32`
2 824×	`lower-*.f64`
2 824×	`lower-*.f32`
1 646×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	1693
1	136	1693
2	404	1633
3	1254	1633
4	3385	1633
5	5910	1633
0	8134	1498

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(- 1 x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(- (+ 1 (* (sqrt x) y)) x)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* x y)
(* x y)
(* x y)
(* x y)
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt x) y)
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* x y)
(* x y)
(* x y)
(* x y)
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt x) y)
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* x y)
(* x y)
(* x y)
(* x y)
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(+ 1 (* (sqrt x) y))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(+ 1 (+ (* -1 x) (* (sqrt x) y)))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* x (- (* (sqrt (/ 1 x)) y) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 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 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* x y)
(* x y)
(* x y)
(* x y)

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

rewrite164.0ms (2.7%)

Memory

25.9MiB live, 219.2MiB allocated

Rules

7 454×	`lower-fma.f32`
7 452×	`lower-fma.f64`
4 424×	`lower-*.f32`
4 418×	`lower-*.f64`
3 272×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	109
0	31	107
1	106	107
2	615	95
3	7590	95
0	8076	91

Stop Event

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

Counts

14 → 426

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(sqrt.f64 x)
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (/.f64 x (sqrt.f64 x))))
(*.f64 y (/.f64 x (sqrt.f64 x)))
(/.f64 x (sqrt.f64 x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (/.f64 y (sqrt.f64 x)) x))
(*.f64 (/.f64 y (sqrt.f64 x)) x)
(/.f64 y (sqrt.f64 x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (*.f64 y x) (sqrt.f64 x)))
(/.f64 (*.f64 y x) (sqrt.f64 x))
(*.f64 y x)

Outputs
(.f64 (/.f64 (-.f64 (.f64 (.f64 y x) y) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)))) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) (fma.f64 y (sqrt.f64 x) #s(approx (- 1 x) (neg.f64 x))) (.f64 (.f64 y x) y)))
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 y (sqrt.f64 x))) #s(approx (- 1 x) (neg.f64 x))) #s(literal 2 binary64)))) (fma.f64 (.f64 y y) x (.f64 (neg.f64 #s(approx (- 1 x) (neg.f64 x))) (-.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 y (sqrt.f64 x))))))
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 y (sqrt.f64 x))) #s(approx (- 1 x) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 y (sqrt.f64 x))) #s(approx (- 1 x) (neg.f64 x))) (-.f64 (.f64 (-.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 y (sqrt.f64 x))) #s(approx (- 1 x) (neg.f64 x))) (.f64 (.f64 y x) y)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 y x) y) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))) (-.f64 (.f64 (*.f64 y x) y) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))) (fma.f64 y (sqrt.f64 x) #s(approx (- 1 x) (neg.f64 x))))
(.f64 (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)) (.f64 (.f64 y x) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 y (sqrt.f64 x)))))
(.f64 (pow.f64 (-.f64 (.f64 y (sqrt.f64 x)) #s(approx (- 1 x) (neg.f64 x))) #s(literal -1 binary64)) (-.f64 (.f64 (.f64 y x) y) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))))
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(.f64 (neg.f64 (-.f64 (.f64 (.f64 y x) y) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 y (sqrt.f64 x)) #s(approx (- 1 x) (neg.f64 x))))))
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(.f64 (-.f64 (.f64 (.f64 y x) y) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))) (pow.f64 (-.f64 (.f64 y (sqrt.f64 x)) #s(approx (- 1 x) (neg.f64 x))) #s(literal -1 binary64)))
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(.f64 (fma.f64 (-.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 y (sqrt.f64 x))) #s(approx (- 1 x) (neg.f64 x)) (.f64 (.f64 y x) y)) (.f64 (fma.f64 y (sqrt.f64 x) #s(approx (- 1 x) (neg.f64 x))) (pow.f64 (fma.f64 (-.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 y (sqrt.f64 x))) #s(approx (- 1 x) (neg.f64 x)) (.f64 (.f64 y x) y)) #s(literal -1 binary64))))
(.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(approx (- 1 x) (neg.f64 x)) (.f64 y (sqrt.f64 x))) #s(approx (- 1 x) (neg.f64 x)) (.f64 (.f64 y x) y)) #s(literal -1 binary64)))
(.f64 (fma.f64 y (sqrt.f64 x) #s(approx (- 1 x) (neg.f64 x))) (/.f64 (-.f64 (.f64 y (sqrt.f64 x)) #s(approx (- 1 x) (neg.f64 x))) (-.f64 (*.f64 y (sqrt.f64 x)) #s(approx (- 1 x) (neg.f64 x)))))
(.f64 (fma.f64 y (sqrt.f64 x) #s(approx (- 1 x) (neg.f64 x))) (.f64 (-.f64 (.f64 y (sqrt.f64 x)) #s(approx (- 1 x) (neg.f64 x))) (pow.f64 (-.f64 (.f64 y (sqrt.f64 x)) #s(approx (- 1 x) (neg.f64 x))) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) #s(approx (- 1 x) (neg.f64 x))))
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(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 x (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) x)
(/.f64 (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (.f64 x x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (neg.f64 (sqrt.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 x))))))
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (sqrt.f64 x))
(/.f64 (/.f64 x (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 x x) (neg.f64 (sqrt.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 x))) (.f64 (neg.f64 (sqrt.f64 x)) x)) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))))
(/.f64 (.f64 (neg.f64 x) x) (.f64 x (neg.f64 (sqrt.f64 x))))
(/.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 (sqrt.f64 x)) x))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (.f64 (neg.f64 (sqrt.f64 x)) (.f64 x x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 x) #s(literal 1 binary64))
(/.f64 x (sqrt.f64 x))
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(neg.f64 (neg.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))
(.f64 (.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (sqrt.f64 x))
(.f64 (/.f64 (.f64 y x) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 y #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) (sqrt.f64 x)))
(*.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 x (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 x (pow.f64 x #s(literal 1/4 binary64))) (/.f64 y (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 (neg.f64 y) (sqrt.f64 x)) (neg.f64 x))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (.f64 (neg.f64 y) x))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 (sqrt.f64 x)) y))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 y (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x (pow.f64 y #s(literal -1 binary64))))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 y x))
(.f64 (.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 y))
(.f64 (neg.f64 y) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) x))
(*.f64 (neg.f64 y) (neg.f64 (sqrt.f64 x)))
(.f64 (.f64 y x) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 y (sqrt.f64 x)) x)
(.f64 (.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) y))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 y) (sqrt.f64 x)))
(.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (sqrt.f64 x) y)
(*.f64 x (/.f64 y (sqrt.f64 x)))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 (neg.f64 y) x) #s(literal -1 binary64)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 y x) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 x))))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 y x) (sqrt.f64 x))
(/.f64 (/.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 (sqrt.f64 x)) y))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(/.f64 y (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 x) (pow.f64 y #s(literal -1 binary64)))
(/.f64 x (/.f64 (sqrt.f64 x) y))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (sqrt.f64 x)) y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)))
(neg.f64 (*.f64 (/.f64 (neg.f64 y) (sqrt.f64 x)) x))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 x)) y))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) y))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))
(*.f64 y (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (sqrt.f64 x))
(/.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sqrt.f64 x)) y))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) y))
(/.f64 y (sqrt.f64 x))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 x) y)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (sqrt.f64 x))))
(neg.f64 (/.f64 (neg.f64 y) (sqrt.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 x) y)) #s(literal -1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))
(.f64 (.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (sqrt.f64 x))
(.f64 (/.f64 (.f64 y x) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 y #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) (sqrt.f64 x)))
(*.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 x (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 x (pow.f64 x #s(literal 1/4 binary64))) (/.f64 y (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 (neg.f64 y) (sqrt.f64 x)) (neg.f64 x))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (.f64 (neg.f64 y) x))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 (sqrt.f64 x)) y))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 y (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 x (pow.f64 y #s(literal -1 binary64))))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 x #s(literal -1/2 binary64)) (.f64 y x))
(.f64 (.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 y))
(.f64 (neg.f64 y) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) x))
(*.f64 (neg.f64 y) (neg.f64 (sqrt.f64 x)))
(.f64 (.f64 y x) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 y (sqrt.f64 x)) x)
(.f64 (.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) y))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 y) (sqrt.f64 x)))
(.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (sqrt.f64 x) y)
(*.f64 x (/.f64 y (sqrt.f64 x)))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 (neg.f64 y) x) #s(literal -1 binary64)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 y x) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 x))))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 y x) (sqrt.f64 x))
(/.f64 (/.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 (sqrt.f64 x)) y))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(/.f64 y (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 x) (pow.f64 y #s(literal -1 binary64)))
(/.f64 x (/.f64 (sqrt.f64 x) y))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (sqrt.f64 x)) y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)))
(neg.f64 (*.f64 (/.f64 (neg.f64 y) (sqrt.f64 x)) x))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 x)) y))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) y))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 y (sqrt.f64 x))))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) (neg.f64 x))
(.f64 (.f64 y x) #s(literal 1 binary64))
(.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (neg.f64 x) (neg.f64 y))
(.f64 #s(literal 1 binary64) (.f64 y x))
(*.f64 y x)
(.f64 (sqrt.f64 x) (.f64 y (sqrt.f64 x)))
(*.f64 x y)
(neg.f64 (*.f64 (neg.f64 y) x))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x))

eval199.0ms (3.2%)

Memory: 15.5MiB live, 201.3MiB allocated
Compiler: Compiled 10 492 to 1 258 computations (88% saved)

prune140.0ms (2.3%)

Memory

-21.8MiB live, 220.3MiB allocated

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	942	1	943
Fresh	0	1	1
Picked	0	5	5
Done	1	4	5
Total	943	11	954

Accuracy

100.0%

Counts

954 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.6%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
	58.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)))
✓	65.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
✓	34.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (*.f64 y x) (sqrt.f64 x)))
✓	62.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
✓	32.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (/.f64 y (sqrt.f64 x)) x))
	32.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (/ y (sqrt x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
✓	39.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (/.f64 x (sqrt.f64 x))))
✓	39.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))
✓	35.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓	28.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

Compiler

Compiled 356 to 148 computations (58.4% saved)

regimes28.0ms (0.5%)

Memory

-8.5MiB live, 64.0MiB allocated

Counts

25 → 1

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (/.f64 x (sqrt.f64 x))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (/.f64 y (sqrt.f64 x)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (*.f64 y x) (sqrt.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (/ y (sqrt x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 #s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (fma.f64 (*.f64 y x) y #s(literal -1 binary64)) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 y x) y (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) #s(approx (/ (+ ( (sqrt x) y) (- 1 x)) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (neg.f64 (/.f64 (.f64 (.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))))
(.f64 (fma.f64 (.f64 y x) y (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) (/.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) y (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (-.f64 (.f64 (.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))

Outputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))

Calls

3 calls:

10.0ms	y
8.0ms	x
7.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes9.0ms (0.1%)

Memory

25.8MiB live, 25.8MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))

Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))

Calls

3 calls:

3.0ms	x
3.0ms	y
3.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

Accuracy	Segments	Branch
98.6%	2	`x`
97.2%	3	`y`
98.2%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes10.0ms (0.2%)

Memory

-12.2MiB live, 25.4MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))

Outputs

#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))

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

#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.0%	3	`y`
85.3%	3	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
83.6%	2	`x`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes3.0ms (0%)

Memory

7.3MiB live, 7.3MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))

Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
94.6%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))

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

Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

Accuracy	Segments	Branch
62.5%	1	`x`
62.5%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
62.5%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes38.0ms (0.6%)

Memory

-34.1MiB live, 12.8MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))

Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

Calls

3 calls:

35.0ms	y
2.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
2.0ms	x

Results

Accuracy	Segments	Branch
61.9%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
61.3%	2	`x`
35.0%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes4.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

Calls

3 calls:

1.0ms	y
1.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
1.0ms	x

Results

Accuracy	Segments	Branch
28.3%	1	`y`
28.3%	1	`x`
28.3%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch11.0ms (0.2%)

Memory

20.8MiB live, 20.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.025224778563780102	5.068315260372728

Samples

5.0ms	109×	0	valid
0.0ms	2×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 102 to 110 computations (-7.8% saved)

Precisions

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

ival-mult: 1.0ms (34% of total)

ival-sub: 1.0ms (34% of total)

ival-sqrt: 1.0ms (34% of total)

adjust: 0.0ms (0% of total)

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

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

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

exact: 0.0ms (0% of total)

bsearch91.0ms (1.5%)

Memory

-30.7MiB live, 44.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.388707176398787e+39	7.730410977084577e+46
48.0ms	-1.865772515630435e+50	-3.6230663791083598e+47

Samples

50.0ms

272×

valid

Compiler

Compiled 181 to 233 computations (-28.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 40.0ms (89.8% of total)

ival-sqrt: 2.0ms (4.5% of total)

ival-sub: 1.0ms (2.2% of total)

ival-add: 1.0ms (2.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch23.0ms (0.4%)

Memory

2.6MiB live, 39.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	6.039656628567e+57	2.379974015786204e+65
7.0ms	-1.5973513287791624e+74	-4.8515378033698275e+73

Samples

10.0ms

224×

valid

Compiler

Compiled 137 to 180 computations (-31.4% saved)

Precisions

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

ival-sqrt: 2.0ms (36.4% of total)

ival-sub: 1.0ms (18.2% of total)

ival-add: 1.0ms (18.2% of total)

ival-mult: 1.0ms (18.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-36.33952810623335	0.9747752214362199

Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify28.0ms (0.5%)

Memory

15.9MiB live, 58.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative-binary64-+.f64`
4×	`-commutative-binary64-.f64`
4×	`sub-neg-binary64-neg.f64-+.f64--.f64`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	195
1	48	195
2	51	195
3	52	195

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))))
(if (<=.f64 y #s(literal -2999999999999999969278252306015228672324132667392 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 88000000000000000236122597814539852430966784 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -140000000000000000763268418987925993642221834973418396556916081025951465472 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 y (sqrt.f64 x))) (if (<=.f64 y #s(literal 1699999999999999933939597702909270408654200091015729033601089536 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) #s(literal -20 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

Outputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))))
(if (<=.f64 y #s(literal -2999999999999999969278252306015228672324132667392 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 88000000000000000236122597814539852430966784 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -140000000000000000763268418987925993642221834973418396556916081025951465472 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 y (sqrt.f64 x))) (if (<=.f64 y #s(literal 1699999999999999933939597702909270408654200091015729033601089536 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) #s(literal -20 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))))
(if (<=.f64 (+.f64 (.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) #s(literal -20 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

soundness683.0ms (11.1%)

Memory

7.8MiB live, 480.9MiB allocated

Rules

7 542×	`lower-fma.f64`
7 542×	`lower-fma.f32`
7 188×	`lower-fma.f64`
7 188×	`lower-fma.f32`
6 324×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	369
1	141	369
2	438	357
3	1298	357
4	4642	357
5	7358	357
0	8082	330
0	464	6062
1	1495	5383
2	5261	5221
0	8542	4822
0	7	17
0	11	17
1	46	17
2	357	17
3	5315	17
0	8974	16

Stop Event

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

Compiler

Compiled 167 to 104 computations (37.7% saved)

preprocess44.0ms (0.7%)

Memory: 12.6MiB live, 125.0MiB allocated
Compiler: Compiled 206 to 84 computations (59.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	20
0	11	20
1	19	20
2	38	20
3	65	20
4	129	20
5	247	20
6	389	20
7	437	20
8	460	20
0	460	19

Iter	Nodes	Cost
0	7	20
0	11	20
1	19	20
2	38	20
3	65	20
4	129	20
5	247	20
6	389	20
7	437	20
8	460	20
0	460	19

start0.0ms (0%)

analyze8.0ms (0.1%)

sample737.0ms (12%)

explain75.0ms (1.2%)

preprocess44.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify13.0ms (0.2%)

localize28.0ms (0.5%)

series6.0ms (0.1%)

simplify114.0ms (1.9%)

rewrite166.0ms (2.7%)

eval53.0ms (0.9%)

prune49.0ms (0.8%)

simplify137.0ms (2.2%)

localize101.0ms (1.7%)

series64.0ms (1%)

simplify491.0ms (8%)

rewrite266.0ms (4.3%)

eval473.0ms (7.7%)

prune225.0ms (3.7%)

simplify104.0ms (1.7%)

localize99.0ms (1.6%)

series92.0ms (1.5%)

simplify203.0ms (3.3%)

rewrite277.0ms (4.5%)

eval236.0ms (3.8%)

prune349.0ms (5.7%)

simplify38.0ms (0.6%)

localize69.0ms (1.1%)

series15.0ms (0.3%)

simplify123.0ms (2%)

rewrite164.0ms (2.7%)

eval199.0ms (3.2%)

prune140.0ms (2.3%)

regimes28.0ms (0.5%)

regimes9.0ms (0.1%)

regimes10.0ms (0.2%)

regimes3.0ms (0%)

regimes6.0ms (0.1%)

regimes38.0ms (0.6%)

regimes4.0ms (0.1%)

bsearch11.0ms (0.2%)

bsearch91.0ms (1.5%)

bsearch23.0ms (0.4%)

bsearch0.0ms (0%)

simplify28.0ms (0.5%)

soundness683.0ms (11.1%)

preprocess44.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	20
0	11	20
1	19	20
2	38	20
3	65	20
4	129	20
5	247	20
6	389	20
7	437	20
8	460	20
0	460	19