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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze28.0ms (0.4%)

Memory

-31.8MiB live, 7.5MiB 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)

sample1.1s (15.5%)

Memory

-9.7MiB live, 963.7MiB allocated

Samples

816.0ms	8 254×	0	valid
11.0ms	237×	0	invalid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 616.0ms

ival-mult: 293.0ms (47.6% of total)

ival-sqrt: 153.0ms (24.9% of total)

ival-add: 77.0ms (12.5% of total)

ival-sub: 77.0ms (12.5% of total)

ival-true: 6.0ms (1% of total)

exact: 5.0ms (0.8% of total)

ival-assert: 4.0ms (0.6% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain132.0ms (1.8%)

Memory

18.7MiB live, 137.9MiB 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

54.0ms

512×

valid

Compiler

Compiled 54 to 25 computations (53.7% saved)

Precisions

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

ival-mult: 4.0ms (29.8% of total)

ival-sqrt: 4.0ms (29.8% of total)

ival-sub: 3.0ms (22.4% of total)

ival-add: 2.0ms (14.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess44.0ms (0.6%)

Memory

9.6MiB live, 45.6MiB allocated

Algorithm

1×	egg-herbie

Rules

168×	`lower-fma.f64`
168×	`lower-fma.f32`
106×	`sub-neg`
90×	`cancel-sign-sub-inv`
89×	`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 10 to 7 computations (30% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB 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 10 to 7 computations (30% saved)

simplify17.0ms (0.2%)

Memory

-18.7MiB live, 17.0MiB 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

168×	`lower-fma.f64`
168×	`lower-fma.f32`
72×	`lower-*.f32`
71×	`lower-*.f64`
56×	`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)

localize26.0ms (0.4%)

Memory

-8.2MiB live, 43.1MiB 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	0.203125	(*.f64 y (sqrt.f64 x))

Samples

18.0ms

256×

valid

Compiler

Compiled 22 to 9 computations (59.1% saved)

Precisions

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

ival-sqrt: 4.0ms (43.5% of total)

ival-sub: 2.0ms (21.7% of total)

ival-mult: 2.0ms (21.7% of total)

ival-add: 1.0ms (10.9% 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

10.6MiB live, 10.6MiB 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 (* (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 (* 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 (+ 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 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 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 (-.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 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 (* -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 (* -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 (* (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 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 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 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) 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 (* -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 (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 (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 (* (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

18 calls:

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

simplify130.0ms (1.8%)

Memory

-10.0MiB live, 155.9MiB allocated

Algorithm

1×	egg-herbie

Rules

3 771×	`lower-fma.f64`
3 771×	`lower-fma.f32`
1 348×	`lower-*.f64`
1 348×	`lower-*.f32`
933×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	369
1	141	369
2	438	357
3	1298	357
4	4657	357
5	7379	357
0	8084	330

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

rewrite239.0ms (3.3%)

Memory

11.1MiB live, 274.2MiB allocated

Rules

3 162×	`lower-fma.f64`
3 162×	`lower-fma.f32`
2 118×	`lower-*.f32`
2 117×	`lower-*.f64`
1 042×	`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) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x) (.f64 (neg.f64 (.f64 (sqrt.f64 x) x)) (.f64 (.f64 y y) y)))) (fma.f64 y (fma.f64 y x (.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 y x) y) (sqrt.f64 x)) y (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (.f64 (.f64 y x) y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x) (neg.f64 (.f64 y (-.f64 (.f64 y x) (.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))))))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x) (neg.f64 (.f64 y (-.f64 (.f64 y x) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 y x) y) (sqrt.f64 x)) y (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))) (fma.f64 (.f64 (.f64 (.f64 y x) y) (.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (sqrt.f64 x) y (neg.f64 (-.f64 #s(literal 1 binary64) x))))) (.f64 y (-.f64 (.f64 y x) (.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))) (.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (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)))) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 (fma.f64 (.f64 y x) (neg.f64 y) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (fma.f64 (.f64 y x) (neg.f64 y) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) (fma.f64 (neg.f64 y) (sqrt.f64 x) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))
(.f64 (fma.f64 (.f64 y x) y (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (neg.f64 (-.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (fma.f64 (.f64 y x) (neg.f64 y) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (.f64 (.f64 y x) y))) (fma.f64 (.f64 (.f64 (.f64 y x) y) (sqrt.f64 x)) y (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) (fma.f64 (neg.f64 y) (sqrt.f64 x) x)) (fma.f64 (neg.f64 y) (sqrt.f64 x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal 1 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 y x) (neg.f64 y) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 y x) y) (sqrt.f64 x)) y (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (.f64 (.f64 y x) y)))))
(.f64 (fma.f64 (.f64 y x) (neg.f64 y) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))
(.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (.f64 (.f64 y x) y)) (/.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (.f64 (*.f64 y x) y))))
(.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (.f64 (.f64 y x) y)) (.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (.f64 (.f64 y x) y)))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 y x) y) (sqrt.f64 x)) y (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (.f64 (.f64 y x) y))))
(*.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)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))))
(*.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) (*.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) (fma.f64 (neg.f64 y) (sqrt.f64 x) x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (.f64 y x) y (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) x) (fma.f64 (neg.f64 y) (sqrt.f64 x) x)) (fma.f64 (neg.f64 y) (sqrt.f64 x) x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
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(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (fma.f64 (.f64 (.f64 x x) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (.f64 (.f64 x x) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))) (.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) x) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (.f64 (.f64 x x) x))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x))) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))) (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (fma.f64 (.f64 x x) (fma.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 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x x) (fma.f64 x x x)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (neg.f64 (.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x x) (.f64 (fma.f64 x x x) (fma.f64 x x x)) #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 (*.f64 x x) (/.f64 x (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) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (fma.f64 (.f64 x x) x #s(literal 1 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) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)))) (fma.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) x #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)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) x #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) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (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) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))) (neg.f64 (.f64 (.f64 x x) (/.f64 x (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 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))) (.f64 (.f64 x x) (/.f64 x (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 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))) (neg.f64 (.f64 (.f64 x x) (/.f64 x (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 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))

eval93.0ms (1.3%)

Memory: -14.3MiB live, 65.6MiB allocated
Compiler: Compiled 7 394 to 724 computations (90.2% saved)

prune53.0ms (0.7%)

Memory

39.7MiB live, 115.1MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	309	15	324
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	310	15	325

Accuracy

100.0%

Counts

325 → 15

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))
▶	99.8%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
▶	63.8%	(/.f64 (fma.f64 (.f64 y x) (neg.f64 y) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
	63.7%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 (.f64 y x) y (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))))
	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))))
▶	99.8%	(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
	99.7%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
	67.7%	(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (pow.f64 (.f64 x x) #s(literal 1/4 binary64))))
	62.0%	(.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (.f64 (.f64 y x) y)) (/.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (.f64 (*.f64 y x) y))))
	95.8%	(.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) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))))
▶	46.7%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) (fma.f64 (neg.f64 y) (sqrt.f64 x) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))
	63.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
▶	65.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
	61.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
	35.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))

Compiler

Compiled 500 to 262 computations (47.6% saved)

simplify228.0ms (3.2%)

Memory

9.1MiB live, 159.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (sqrt.f64 x) y (neg.f64 x))
cost-diff	128	(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) (fma.f64 (neg.f64 y) (sqrt.f64 x) x)))
cost-diff	320	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) (fma.f64 (neg.f64 y) (sqrt.f64 x) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))
cost-diff	448	(*.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) (fma.f64 (neg.f64 y) (sqrt.f64 x) x))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 y x)
cost-diff	0	(/.f64 (fma.f64 (.f64 y x) (neg.f64 y) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
cost-diff	384	(fma.f64 (.f64 y x) (neg.f64 y) (.f64 (-.f64 #s(literal 1 binary64) 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))
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	(sqrt.f64 x)
cost-diff	0	(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
cost-diff	0	(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)

Rules

6 806×	`lower-fma.f32`
6 800×	`lower-fma.f64`
1 949×	`lower-*.f32`
1 945×	`lower-*.f64`
989×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	210
0	49	209
1	93	207
2	210	207
3	692	207
4	2272	207
5	4216	207
0	8320	201

Stop Event

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

Calls

Call 1

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

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

localize164.0ms (2.3%)

Memory

-1.9MiB live, 241.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.12109375	(fma.f64 (neg.f64 y) (sqrt.f64 x) x)
accuracy	0.1328125	(*.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) (fma.f64 (neg.f64 y) (sqrt.f64 x) x))
accuracy	0.30922129828424383	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
accuracy	22.193220325514066	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) (fma.f64 (neg.f64 y) (sqrt.f64 x) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))
accuracy	0.02734375	(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
accuracy	0.1171875	(fma.f64 (sqrt.f64 x) y x)
accuracy	4.597632167682973	(fma.f64 (.f64 y x) (neg.f64 y) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
accuracy	22.654155761344796	(/.f64 (fma.f64 (.f64 y x) (neg.f64 y) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0	(sqrt.f64 x)
accuracy	0.1015625	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	21.936653815336683	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
accuracy	0	(sqrt.f64 x)
accuracy	0.00390625	(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
accuracy	0.125	(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))

Samples

87.0ms

256×

valid

Compiler

Compiled 228 to 29 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-add: 39.0ms (56% of total)

ival-mult: 20.0ms (28.7% of total)

ival-div: 3.0ms (4.3% of total)

ival-sub: 3.0ms (4.3% of total)

ival-sqrt: 2.0ms (2.9% of total)

ival-neg: 2.0ms (2.9% of total)

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

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

exact: 0.0ms (0% of total)

series47.0ms (0.7%)

Memory

-0.6MiB live, 73.7MiB allocated

Counts

18 → 384

Calls

Call 1

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

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

Calls

96 calls:

Time	Variable		Point	Expression
10.0ms	x	@	-inf	(/ 1 (- 1 (+ (* (sqrt x) y) x)))
2.0ms	x	@	inf	(/ (+ (* (* y x) (neg y)) (* (- 1 x) (- 1 x))) (- 1 (+ (* (sqrt x) y) x)))
1.0ms	x	@	-inf	(/ (+ (* (* y x) (neg y)) (* (- 1 x) (- 1 x))) (- 1 (+ (* (sqrt x) y) x)))
1.0ms	x	@	-inf	(* (+ (* (sqrt x) y) (neg x)) (+ (* (neg y) (sqrt x)) x))
1.0ms	x	@	-inf	(* (+ 1 (* (+ (* (sqrt x) y) (neg x)) (+ (* (neg y) (sqrt x)) x))) (/ 1 (- 1 (+ (* (sqrt x) y) x))))

simplify522.0ms (7.2%)

Memory

-168.3MiB live, 314.4MiB allocated

Algorithm

1×	egg-herbie

Rules

3 878×	`lower-fma.f64`
3 878×	`lower-fma.f32`
2 508×	`lower-*.f64`
2 508×	`lower-*.f32`
1 909×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	644	6997
1	2083	6130
2	7027	6037
0	8024	5818

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 382

Calls

Call 1

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

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

rewrite356.0ms (4.9%)

Memory

12.9MiB live, 589.3MiB allocated

Rules

3 820×	`lower-fma.f32`
3 814×	`lower-fma.f64`
2 376×	`lower-/.f32`
2 374×	`lower-/.f64`
2 315×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	161
0	49	140
1	226	140
2	2065	125
0	10175	125

Stop Event

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

Counts

18 → 1 196

Calls

Call 1

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

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

eval343.0ms (4.8%)

Memory: 50.0MiB live, 546.9MiB allocated
Compiler: Compiled 71 336 to 3 990 computations (94.4% saved)

prune288.0ms (4%)

Memory

-39.5MiB live, 422.3MiB allocated

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	1 949	10	1 959
Fresh	7	3	10
Picked	3	2	5
Done	0	0	0
Total	1 959	15	1 974

Accuracy

100.0%

Counts

1 974 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
	70.3%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
▶	63.4%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
▶	19.4%	(/.f64 #s(approx (+ (* (* y x) (neg y)) (* (- 1 x) (- 1 x))) (.f64 (.f64 (neg.f64 x) y) y)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))))
	70.5%	(-.f64 (/.f64 (fma.f64 (*.f64 y y) x #s(literal -1 binary64)) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))) x)
	94.1%	(-.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) x)
	70.3%	(-.f64 #s(approx (+ (* (sqrt x) y) 1) (*.f64 y (sqrt.f64 x))) x)
	62.0%	(.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (.f64 (.f64 y x) y)) (/.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (.f64 (*.f64 y x) y))))
	95.8%	(.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) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))))
	35.9%	#s(approx (/ (+ (* (* y x) (neg y)) (* (- 1 x) (- 1 x))) (- 1 (+ (* (sqrt x) y) x))) (*.f64 y (sqrt.f64 x)))
▶	61.7%	#s(approx (- (+ (* (sqrt x) y) 1) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
✓	65.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
	36.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
▶	29.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

Compiler

Compiled 387 to 194 computations (49.9% saved)

simplify248.0ms (3.4%)

Memory

-8.6MiB live, 102.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (neg.f64 x) y)
cost-diff	0	(.f64 (.f64 (neg.f64 x) y) y)
cost-diff	0	#s(approx (+ (* (* y x) (neg y)) (* (- 1 x) (- 1 x))) (.f64 (.f64 (neg.f64 x) y) y))
cost-diff	0	(/.f64 #s(approx (+ (* (* y x) (neg y)) (* (- 1 x) (- 1 x))) (.f64 (.f64 (neg.f64 x) y) y)) (-.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	(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
cost-diff	0	#s(approx (- (+ (* (sqrt x) y) 1) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
cost-diff	0	#s(approx (- 1 x) #s(literal 1 binary64))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
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	(sqrt.f64 x)
cost-diff	0	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))))

Rules

2 360×	`lower-fma.f32`
2 356×	`lower-fma.f64`
580×	`lower-*.f32`
577×	`lower-*.f64`
546×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	198
0	55	192
1	95	190
2	180	190
3	353	190
4	734	190
5	1693	186
6	3493	186
7	4215	186
8	4703	186
9	5081	186
10	5206	186
11	5230	186
12	5411	186
13	5463	186
14	5463	186
15	5463	186
0	5463	182

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize116.0ms (1.6%)

Memory

18.1MiB live, 177.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.1171875	(fma.f64 (sqrt.f64 x) y x)
accuracy	0.140625	(.f64 (.f64 (neg.f64 x) y) y)
accuracy	22.654155761344796	(/.f64 #s(approx (+ (* (* y x) (neg y)) (* (- 1 x) (- 1 x))) (.f64 (.f64 (neg.f64 x) y) y)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))
accuracy	41.155427749331224	#s(approx (+ (* (* y x) (neg y)) (* (- 1 x) (- 1 x))) (.f64 (.f64 (neg.f64 x) y) y))
accuracy	0.11328125	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
accuracy	0.1171875	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	5.554823466157019	(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
accuracy	18.934587222502252	#s(approx (- (+ (* (sqrt x) y) 1) x) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
accuracy	0	(sqrt.f64 x)
accuracy	0.1015625	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
accuracy	33.2313079970421	#s(approx (- 1 x) #s(literal 1 binary64))
accuracy	21.936653815336683	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
accuracy	33.2313079970421	#s(approx (- 1 x) #s(literal 1 binary64))
accuracy	0	(sqrt.f64 x)
accuracy	0.1015625	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
accuracy	0.1640625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))))
accuracy	0.30531504828424383	(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))

Samples

72.0ms

256×

valid

Compiler

Compiled 173 to 32 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 14.0ms (35.2% of total)

ival-add: 10.0ms (25.1% of total)

ival-div: 6.0ms (15.1% of total)

ival-sqrt: 4.0ms (10.1% of total)

ival-sub: 3.0ms (7.5% of total)

ival-neg: 2.0ms (5% of total)

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

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

exact: 0.0ms (0% of total)

series41.0ms (0.6%)

Memory

-0.1MiB live, 37.4MiB allocated

Counts

16 → 348

Calls

Call 1

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

Calls

87 calls:

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

simplify213.0ms (3%)

Memory

10.8MiB live, 284.2MiB allocated

Algorithm

1×	egg-herbie

Rules

5 193×	`lower-fma.f64`
5 193×	`lower-fma.f32`
2 724×	`lower-*.f64`
2 724×	`lower-*.f32`
2 162×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	377	4301
1	1153	4056
2	3644	3860
0	8996	3606

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 347

Calls

Call 1

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

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

rewrite348.0ms (4.8%)

Memory

-33.0MiB live, 478.5MiB allocated

Rules

3 190×	`lower-fma.f32`
3 186×	`lower-fma.f64`
2 179×	`lower-*.f32`
2 176×	`lower-*.f64`
2 087×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	160
0	55	150
1	236	144
2	1756	144
0	8622	144

Stop Event

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

Counts

16 → 748

Calls

Call 1

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

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

eval224.0ms (3.1%)

Memory: 28.3MiB live, 321.8MiB allocated
Compiler: Compiled 28 870 to 2 281 computations (92.1% saved)

prune153.0ms (2.1%)

Memory

-24.6MiB live, 276.8MiB allocated

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	1 151	5	1 156
Fresh	3	5	8
Picked	3	2	5
Done	0	2	2
Total	1 157	14	1 171

Accuracy

100.0%

Counts

1 171 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
	70.3%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓	63.4%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
▶	35.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 y (sqrt.f64 x)))))
	64.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (sqrt x) y) (- 1 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (neg.f64 y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))
▶	94.1%	(-.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) x)
▶	70.3%	(-.f64 #s(approx (+ (* (sqrt x) y) 1) (*.f64 y (sqrt.f64 x))) x)
	62.0%	(.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (.f64 (.f64 y x) y)) (/.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (.f64 (*.f64 y x) y))))
	35.9%	#s(approx (/ (+ (* (* y x) (neg y)) (* (- 1 x) (- 1 x))) (- 1 (+ (* (sqrt x) y) x))) (*.f64 y (sqrt.f64 x)))
▶	61.8%	#s(approx (- (+ (* (sqrt x) y) 1) x) (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)))
	27.4%	#s(approx (- (+ (* (sqrt x) y) 1) x) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
▶	36.4%	#s(approx (- (+ (* (sqrt x) y) 1) x) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (neg.f64 x)))
✓	65.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
✓	29.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

Compiler

Compiled 306 to 156 computations (49% saved)

simplify67.0ms (0.9%)

Memory

6.6MiB live, 45.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y (sqrt.f64 x))
cost-diff	0	#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 y (sqrt.f64 x)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 y (sqrt.f64 x))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 y (sqrt.f64 x)))))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(/.f64 y (sqrt.f64 x))
cost-diff	0	(fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x))
cost-diff	0	#s(approx (- (+ (* (sqrt x) y) 1) x) (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 y (sqrt.f64 x))
cost-diff	0	#s(approx (+ (* (sqrt x) y) 1) (*.f64 y (sqrt.f64 x)))
cost-diff	0	(-.f64 #s(approx (+ (* (sqrt x) y) 1) (*.f64 y (sqrt.f64 x))) x)
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (neg.f64 x))
cost-diff	0	#s(approx (- (+ (* (sqrt x) y) 1) x) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (neg.f64 x)))
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 (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) x)

Rules

600×	`lower-fma.f32`
598×	`lower-fma.f64`
332×	`lower-*.f32`
330×	`lower-*.f64`
160×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	215
0	49	211
1	75	211
2	120	211
3	183	211
4	297	211
5	538	211
6	996	211
7	1760	211
8	1941	211
9	2050	211
10	2123	211
11	2130	211
12	2131	211
0	2131	200

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize85.0ms (1.2%)

Memory

13.2MiB live, 88.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.1640625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 y (sqrt.f64 x)))))
accuracy	0.203125	(*.f64 y (sqrt.f64 x))
accuracy	0.30531504828424383	(/.f64 #s(literal 1 binary64) #s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 y (sqrt.f64 x))))
accuracy	40.933178269999644	#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 y (sqrt.f64 x)))
accuracy	0	(neg.f64 x)
accuracy	0.17578125	(/.f64 y (sqrt.f64 x))
accuracy	5.543104716157019	(fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x))
accuracy	18.934587222502252	#s(approx (- (+ (* (sqrt x) y) 1) x) (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)))
accuracy	0	(sqrt.f64 x)
accuracy	0.00390625	(-.f64 #s(approx (+ (* (sqrt x) y) 1) (*.f64 y (sqrt.f64 x))) x)
accuracy	0.203125	(*.f64 y (sqrt.f64 x))
accuracy	32.54506857209532	#s(approx (+ (* (sqrt x) y) 1) (*.f64 y (sqrt.f64 x)))
accuracy	0	(neg.f64 x)
accuracy	18.934587222502252	#s(approx (- (+ (* (sqrt x) y) 1) x) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (neg.f64 x)))
accuracy	28.54531842843647	#s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (neg.f64 x))
accuracy	0	#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
accuracy	0.00390625	(-.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) x)
accuracy	0.1171875	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	3.885723534761805	(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))

Samples

46.0ms

256×

valid

Compiler

Compiled 148 to 27 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 12.0ms (38.6% of total)

ival-div: 6.0ms (19.3% of total)

ival-add: 5.0ms (16.1% of total)

ival-sqrt: 4.0ms (12.9% of total)

ival-sub: 2.0ms (6.4% of total)

ival-neg: 1.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

series25.0ms (0.3%)

Memory

-9.2MiB live, 28.7MiB allocated

Counts

18 → 396

Calls

Call 1

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

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

Calls

99 calls:

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

simplify245.0ms (3.4%)

Memory

15.8MiB live, 276.5MiB allocated

Algorithm

1×	egg-herbie

Rules

5 785×	`lower-fma.f64`
5 785×	`lower-fma.f32`
2 642×	`lower-*.f64`
2 642×	`lower-*.f32`
1 427×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	222	3362
1	655	3183
2	1996	3101
3	7761	3101
0	9096	2837

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

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

rewrite336.0ms (4.7%)

Memory

18.1MiB live, 365.5MiB allocated

Rules

3 134×	`lower-fma.f32`
3 132×	`lower-fma.f64`
2 018×	`lower-*.f32`
2 016×	`lower-*.f64`
1 852×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	191
0	49	183
1	202	179
2	1505	165
0	8567	153

Stop Event

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

Counts

18 → 413

Calls

Call 1

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

Outputs
(.f64 (.f64 (+.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) x) (-.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) x)))
(.f64 (fma.f64 (.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (.f64 x (+.f64 #s(approx (+ ( (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) x)))))
(pow.f64 (/.f64 (+.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) x) (.f64 (+.f64 #s(approx (+ ( (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) x) (-.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (.f64 x (+.f64 #s(approx (+ ( (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) x))) (fma.f64 (.f64 #s(approx (+ ( (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (.f64 (.f64 x x) x))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(literal 0 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x x) x)) (fma.f64 (+.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(literal 0 binary64)) (+.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(literal 0 binary64)) (fma.f64 x x (.f64 (+.f64 #s(approx (+ ( (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(literal 0 binary64)) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(approx (+ ( (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) (+.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (+.f64 #s(approx (+ ( (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(approx (+ ( (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) (+.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) x)) (/.f64 (.f64 #s(approx (+ ( (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) (+.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) x)) (fma.f64 (/.f64 (.f64 x x) (+.f64 #s(approx (+ ( (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) x)) (/.f64 (.f64 x x) (+.f64 #s(approx (+ ( (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) x)) (.f64 (/.f64 (.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) (+.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) x)) (/.f64 (.f64 x x) (+.f64 #s(approx (+ ( (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) (fma.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (.f64 x (+.f64 #s(approx (+ ( (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (.f64 x (+.f64 #s(approx (+ ( (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) (fma.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (.f64 x (+.f64 #s(approx (+ ( (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) x)))) (/.f64 (.f64 (.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) (fma.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (.f64 x (+.f64 #s(approx (+ ( (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) x)))) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (.f64 x (+.f64 #s(approx (+ ( (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) x)))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (.f64 x (+.f64 #s(approx (+ ( (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) x)))) (.f64 (/.f64 (.f64 (.f64 #s(approx (+ ( (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) (fma.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (.f64 x (+.f64 #s(approx (+ ( (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) x)))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (.f64 x (+.f64 #s(approx (+ ( (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) x))))))))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 #s(approx (+ ( (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))))) (fma.f64 x x (-.f64 (.f64 #s(approx (+ ( (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) (.f64 (neg.f64 x) #s(approx (+ ( (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (+.f64 #s(approx (+ ( (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) x) (-.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) x)))) (neg.f64 (neg.f64 (+.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 #s(approx (+ ( (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (.f64 (.f64 x x) x)))) (neg.f64 (neg.f64 (fma.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (.f64 x (+.f64 #s(approx (+ ( (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) x))))))
(/.f64 (-.f64 (.f64 (.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) (+.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) x)) (.f64 (+.f64 #s(approx (+ ( (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) x) (.f64 x x))) (.f64 (+.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) x) (+.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(approx (+ ( (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) (fma.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (.f64 x (+.f64 #s(approx (+ ( (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) x)))) (.f64 (fma.f64 #s(approx (+ ( (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (.f64 x (+.f64 #s(approx (+ ( (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) x))) (.f64 (.f64 x x) x))) (.f64 (fma.f64 #s(approx (+ ( (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (.f64 x (+.f64 #s(approx (+ ( (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) x))) (fma.f64 #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (.f64 x (+.f64 #s(approx (+ ( (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) x)))))
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(fabs.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
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eval120.0ms (1.7%)

Memory: 7.6MiB live, 265.4MiB allocated
Compiler: Compiled 15 119 to 1 402 computations (90.7% saved)

prune230.0ms (3.2%)

Memory

-12.3MiB live, 255.5MiB allocated

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	948	3	951
Fresh	2	3	5
Picked	2	3	5
Done	0	4	4
Total	952	13	965

Accuracy

100.0%

Counts

965 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
	70.3%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓	63.4%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
	64.5%	(-.f64 #s(approx (+ (* (sqrt x) y) 1) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 y x)))) x)
	64.4%	(-.f64 #s(approx (+ (* (sqrt x) y) 1) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 y x))) x)
	70.2%	(-.f64 #s(approx (+ (* (sqrt x) y) 1) (*.f64 y (/.f64 x (sqrt.f64 x)))) x)
✓	70.3%	(-.f64 #s(approx (+ (* (sqrt x) y) 1) (*.f64 y (sqrt.f64 x))) x)
	35.9%	#s(approx (/ (+ (* (* y x) (neg y)) (* (- 1 x) (- 1 x))) (- 1 (+ (* (sqrt x) y) x))) (*.f64 y (sqrt.f64 x)))
✓	61.8%	#s(approx (- (+ (* (sqrt x) y) 1) x) (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)))
	27.4%	#s(approx (- (+ (* (sqrt x) y) 1) x) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
✓	36.4%	#s(approx (- (+ (* (sqrt x) y) 1) x) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -1) x) (neg.f64 x)))
✓	65.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
✓	29.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

Compiler

Compiled 510 to 156 computations (69.4% saved)

regimes37.0ms (0.5%)

Memory

10.8MiB live, 81.6MiB allocated

Counts

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

Calls

3 calls:

14.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
11.0ms	x
10.0ms	y

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 16 to 11 computations (31.3% saved)

regimes18.0ms (0.3%)

Memory

-8.0MiB live, 37.1MiB allocated

Counts

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

Calls

3 calls:

10.0ms	y
4.0ms	x
4.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

Accuracy	Segments	Branch
98.4%	2	`x`
97.9%	3	`y`
98.2%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes12.0ms (0.2%)

Memory

-9.3MiB live, 29.2MiB allocated

Counts

8 → 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 (- (+ (* (sqrt x) y) 1) x) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -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 (/ (+ (* (* y x) (neg y)) (* (- 1 x) (- 1 x))) (- 1 (+ (* (sqrt x) y) 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) #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)))
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
96.1%	3	`y`
80.7%	3	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
85.8%	2	`x`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes3.0ms (0%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

6 → 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 (- (+ (* (sqrt x) y) 1) x) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -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 (/ (+ (* (* y x) (neg y)) (* (- 1 x) (- 1 x))) (- 1 (+ (* (sqrt x) y) 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:

3.0ms

Results

Accuracy	Segments	Branch
95.3%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

19.3MiB live, 19.3MiB allocated

Counts

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

Results

Accuracy	Segments	Branch
65.7%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
65.7%	1	`x`
65.7%	1	`y`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes7.0ms (0.1%)

Memory

-19.1MiB live, 19.7MiB allocated

Counts

3 → 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 (- (+ (* (sqrt x) y) 1) x) #s(approx (* (+ (* (sqrt (/ 1 x)) y) -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:

3.0ms	y
2.0ms	x
2.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

Accuracy	Segments	Branch
64.3%	2	`x`
64.8%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
36.4%	1	`y`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes4.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB 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
29.8%	1	`y`
29.8%	1	`x`
29.8%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch13.0ms (0.2%)

Memory

-11.3MiB live, 27.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.024648996835412752	27.22945613455609

Samples

7.0ms

128×

valid

Compiler

Compiled 165 to 108 computations (34.5% saved)

Precisions

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

ival-mult: 2.0ms (47.7% of total)

ival-sub: 1.0ms (23.8% of total)

ival-add: 1.0ms (23.8% of total)

ival-sqrt: 1.0ms (23.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch30.0ms (0.4%)

Memory

-18.5MiB live, 61.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	8.019476091883313e+71	2.3996148831424386e+82
13.0ms	-2.7181435300597565e+67	-2.4832337301652772e+64

Samples

13.0ms

288×

valid

Compiler

Compiled 301 to 210 computations (30.2% saved)

Precisions

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

ival-sub: 2.0ms (27.9% of total)

ival-mult: 2.0ms (27.9% of total)

ival-sqrt: 2.0ms (27.9% of total)

ival-add: 1.0ms (14% of total)

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

exact: 0.0ms (0% of total)

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

bsearch21.0ms (0.3%)

Memory

7.5MiB live, 45.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.3996148831424386e+82	1.8923299178013941e+84
8.0ms	-2.7181435300597565e+67	-2.4832337301652772e+64

Samples

11.0ms

208×

valid

Compiler

Compiled 238 to 162 computations (31.9% saved)

Precisions

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

ival-sub: 1.0ms (19.8% of total)

ival-add: 1.0ms (19.8% of total)

ival-mult: 1.0ms (19.8% of total)

ival-sqrt: 1.0ms (19.8% 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

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-17927.80620292356	0.9753510031645872

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify7.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`*-commutative_binary64`
1×	`1-exp_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	198
1	54	198
2	59	198
3	60	198

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (fma.f64 (sqrt.f64 x) y #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))) (-.f64 #s(approx (+ (* (sqrt x) y) 1) (*.f64 y (sqrt.f64 x))) x))
(if (<=.f64 y #s(literal -24999999999999999802259656570908462705689030423557613841392074752 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 820000000000000044150822424195084219866396744407056167337541105656791040 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 -320000000000000006822534083025406999136402518805748782967786831872 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 y (sqrt.f64 x))) (if (<=.f64 y #s(literal 84999999999999995204581041165620893627042274476098409143961566260344455194138902528 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 -10000 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
(-.f64 (fma.f64 (sqrt.f64 x) y #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))) (-.f64 #s(approx (+ (* (sqrt x) y) 1) (*.f64 y (sqrt.f64 x))) x))
(if (<=.f64 y #s(literal -24999999999999999802259656570908462705689030423557613841392074752 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 820000000000000044150822424195084219866396744407056167337541105656791040 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 -320000000000000006822534083025406999136402518805748782967786831872 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 y (sqrt.f64 x))) (if (<=.f64 y #s(literal 84999999999999995204581041165620893627042274476098409143961566260344455194138902528 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 -10000 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)))

soundness719.0ms (10%)

Memory

-25.9MiB live, 510.1MiB allocated

Rules

3 878×	`lower-fma.f64`
3 878×	`lower-fma.f32`
3 771×	`lower-fma.f64`
3 771×	`lower-fma.f32`
3 162×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	644	6997
1	2083	6130
2	7027	6037
0	8024	5818
0	7	17
0	11	17
1	46	17
2	357	17
3	5315	17
0	8974	16
0	52	369
1	141	369
2	438	357
3	1298	357
4	4657	357
5	7379	357
0	8084	330

Stop Event

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

Compiler

Compiled 199 to 98 computations (50.8% saved)

preprocess49.0ms (0.7%)

Memory: 20.5MiB live, 98.7MiB allocated
Compiler: Compiled 214 to 72 computations (66.4% 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%)

analyze28.0ms (0.4%)

sample1.1s (15.5%)

explain132.0ms (1.8%)

preprocess44.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify17.0ms (0.2%)

localize26.0ms (0.4%)

series6.0ms (0.1%)

simplify130.0ms (1.8%)

rewrite239.0ms (3.3%)

eval93.0ms (1.3%)

prune53.0ms (0.7%)

simplify228.0ms (3.2%)

localize164.0ms (2.3%)

series47.0ms (0.7%)

simplify522.0ms (7.2%)

rewrite356.0ms (4.9%)

eval343.0ms (4.8%)

prune288.0ms (4%)

simplify248.0ms (3.4%)

localize116.0ms (1.6%)

series41.0ms (0.6%)

simplify213.0ms (3%)

rewrite348.0ms (4.8%)

eval224.0ms (3.1%)

prune153.0ms (2.1%)

simplify67.0ms (0.9%)

localize85.0ms (1.2%)

series25.0ms (0.3%)

simplify245.0ms (3.4%)

rewrite336.0ms (4.7%)

eval120.0ms (1.7%)

prune230.0ms (3.2%)

regimes37.0ms (0.5%)

regimes18.0ms (0.3%)

regimes12.0ms (0.2%)

regimes3.0ms (0%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch13.0ms (0.2%)

bsearch30.0ms (0.4%)

bsearch21.0ms (0.3%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

soundness719.0ms (10%)

preprocess49.0ms (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