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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze44.0ms (0.8%)

Memory

-27.1MiB live, 10.2MiB 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)

sample723.0ms (12.5%)

Memory

38.6MiB live, 961.2MiB allocated

Samples

418.0ms	8 252×	0	valid
14.0ms	247×	0	invalid
0.0ms	2×	2	valid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 253.0ms

ival-add: 76.0ms (30% of total)

ival-sqrt: 59.0ms (23.3% of total)

ival-sub: 54.0ms (21.3% of total)

ival-mult: 51.0ms (20.1% of total)

ival-true: 5.0ms (2% of total)

exact: 4.0ms (1.6% of total)

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

adjust: 0.0ms (0% of total)

Bogosity

explain86.0ms (1.5%)

Memory

13.6MiB live, 136.1MiB 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

27.0ms

512×

valid

Compiler

Compiled 52 to 25 computations (51.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-sqrt: 6.0ms (42% of total)

ival-sub: 3.0ms (21% of total)

ival-mult: 3.0ms (21% of total)

ival-add: 2.0ms (14% of total)

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

exact: 0.0ms (0% of total)

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

preprocess50.0ms (0.9%)

Memory

1.4MiB live, 69.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify13.0ms (0.2%)

Memory

17.0MiB 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

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize37.0ms (0.6%)

Memory

-13.5MiB live, 31.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0	(sqrt.f64 x)
accuracy	0.0078125	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
accuracy	0.20703125	(*.f64 y (sqrt.f64 x))

Samples

32.0ms

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: 5.0ms (54.5% of total)

ival-mult: 2.0ms (21.8% of total)

ival-sub: 1.0ms (10.9% 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

10.3MiB live, 10.3MiB allocated

Counts

4 → 72

Calls

Call 1

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

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

Calls

6 calls:

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

simplify107.0ms (1.9%)

Memory

18.7MiB live, 130.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

rewrite166.0ms (2.9%)

Memory

-6.6MiB live, 229.8MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 252

Calls

Call 1

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

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

eval87.0ms (1.5%)

Memory: -52.9MiB live, 97.0MiB allocated
Compiler: Compiled 5 943 to 749 computations (87.4% saved)

prune50.0ms (0.9%)

Memory

12.9MiB live, 90.5MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	314	10	324
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	315	10	325

Accuracy

100.0%

Counts

325 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.5%	(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (neg.f64 (/.f64 (.f64 (.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))))
▶	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
▶	48.8%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) y (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (-.f64 (.f64 (.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
	99.7%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
	65.0%	(.f64 (fma.f64 (.f64 y x) (neg.f64 y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal -1 binary64)))
▶	92.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)))
▶	73.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
▶	58.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
	59.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
	42.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))

Compiler

Compiled 252 to 186 computations (26.2% saved)

simplify391.0ms (6.8%)

Memory

19.0MiB live, 138.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (fma.f64 (sqrt.f64 x) y (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (-.f64 (.f64 (.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
cost-diff	192	(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) y (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (-.f64 (.f64 (.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
cost-diff	6528	(-.f64 (.f64 (.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
cost-diff	0	(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))

Rules

11 078×	`lower-fma.f32`
11 066×	`lower-fma.f64`
3 066×	`lower-*.f32`
3 062×	`lower-*.f64`
1 760×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	191
0	48	188
1	80	184
2	137	182
3	326	182
4	859	182
5	2674	182
6	5955	182
0	8058	176

Stop Event

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

Calls

Call 1

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

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

localize123.0ms (2.1%)

Memory

-8.9MiB live, 143.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.12109375	(.f64 (.f64 y x) y)
accuracy	0.18359375	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) y (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (-.f64 (.f64 (.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
accuracy	5.2851521216604125	(-.f64 (.f64 (.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
accuracy	22.07309509743641	(/.f64 (fma.f64 (sqrt.f64 x) y (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (-.f64 (.f64 (.f64 y x) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
accuracy	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)))
accuracy	0.1484375	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	0.1640625	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
accuracy	4.609527540154098	(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
accuracy	0	(sqrt.f64 x)
accuracy	0.11328125	(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
accuracy	16.682611205827868	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	26.507697845188368	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0	(sqrt.f64 x)
accuracy	0.08203125	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))

Samples

88.0ms

256×

valid

Compiler

Compiled 184 to 29 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-div: 10.0ms (28.4% of total)

ival-mult: 10.0ms (28.4% of total)

ival-add: 7.0ms (19.9% of total)

ival-sqrt: 4.0ms (11.4% of total)

ival-sub: 2.0ms (5.7% of total)

ival-pow2: 2.0ms (5.7% of total)

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

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

exact: 0.0ms (0% of total)

series37.0ms (0.6%)

Memory

14.7MiB live, 52.1MiB allocated

Counts

15 → 312

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	x	@	inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (sqrt (/ 1 x)) y) -1) x) 1) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (- (* (* y x) y) (pow (- 1 x) 2)) (/ 1 (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2)))) (+ (* -1 x) -1) (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2))) (* (* y x) y))
4.0ms	x	@	-inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (sqrt (/ 1 x)) y) -1) x) 1) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (- (* (* y x) y) (pow (- 1 x) 2)) (/ 1 (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2)))) (+ (* -1 x) -1) (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2))) (* (* y x) y))
3.0ms	y	@	-inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (sqrt (/ 1 x)) y) -1) x) 1) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (- (* (* y x) y) (pow (- 1 x) 2)) (/ 1 (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2)))) (+ (* -1 x) -1) (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2))) (* (* y x) y))
3.0ms	x	@	0	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (sqrt (/ 1 x)) y) -1) x) 1) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (- (* (* y x) y) (pow (- 1 x) 2)) (/ 1 (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2)))) (+ (* -1 x) -1) (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2))) (* (* y x) y))
3.0ms	y	@	0	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (sqrt (/ 1 x)) y) -1) x) 1) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (- (* (* y x) y) (pow (- 1 x) 2)) (/ 1 (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2)))) (+ (* -1 x) -1) (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2))) (* (* y x) y))

simplify156.0ms (2.7%)

Memory

-17.4MiB live, 178.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 846×	`lower-fma.f64`
7 846×	`lower-fma.f32`
4 270×	`lower-+.f64`
4 270×	`lower-+.f32`
4 176×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	497	4961
1	1625	4532
2	5782	4318
0	8654	3956

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

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

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

rewrite291.0ms (5.1%)

Memory

0.3MiB live, 245.5MiB allocated

Rules

6 844×	`lower-fma.f32`
6 832×	`lower-fma.f64`
4 504×	`lower-/.f32`
4 498×	`lower-/.f64`
3 682×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	145
0	48	142
1	217	133
2	1577	133
0	8377	133

Stop Event

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

Counts

15 → 599

Calls

Call 1

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

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

eval206.0ms (3.6%)

Memory: 14.9MiB live, 275.8MiB allocated
Compiler: Compiled 26 901 to 2 894 computations (89.2% saved)

prune169.0ms (2.9%)

Memory

15.1MiB live, 223.6MiB allocated

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	1 100	9	1 109
Fresh	5	0	5
Picked	3	2	5
Done	0	0	0
Total	1 108	11	1 119

Accuracy

100.0%

Counts

1 119 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.5%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
▶	42.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))
▶	42.7%	#s(approx (/ 1 (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2)))) (*.f64 y (sqrt.f64 x)))
▶	92.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) x #s(literal 1 binary64)))
✓	73.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
	49.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (fma.f64 (*.f64 y x) y #s(literal -1 binary64)) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))))
✓	58.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
	49.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 x))))))
	26.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
▶	32.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
▶	69.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))

Compiler

Compiled 168 to 147 computations (12.5% saved)

simplify135.0ms (2.3%)

Memory

1.3MiB live, 187.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
cost-diff	0	#s(approx (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* y (sqrt x)) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 y (sqrt.f64 x))
cost-diff	0	#s(approx (/ 1 (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2)))) (*.f64 y (sqrt.f64 x)))
cost-diff	0	#s(approx (- 1 x) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
cost-diff	0	(/.f64 y (sqrt.f64 x))
cost-diff	0	(+.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64))
cost-diff	0	(fma.f64 (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) x #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) x #s(literal 1 binary64)))

Rules

11 118×	`lower-fma.f32`
11 114×	`lower-fma.f64`
3 152×	`lower-*.f32`
3 148×	`lower-*.f64`
1 774×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	239
0	52	236
1	84	233
2	148	231
3	334	231
4	858	231
5	2706	231
6	6215	231
0	8374	217

Stop Event

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

Calls

Call 1

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

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

localize118.0ms (2%)

Memory

10.9MiB live, 167.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.1484375	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	0.18359375	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))
accuracy	0.21484375	(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
accuracy	36.595949287762366	#s(approx (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
accuracy	0	#s(approx (+ (* y (sqrt x)) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
accuracy	0.1484375	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	3.0779539150680715	(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
accuracy	16.682611205827868	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
accuracy	0	(sqrt.f64 x)
accuracy	0.20703125	(*.f64 y (sqrt.f64 x))
accuracy	36.455761249975524	#s(approx (/ 1 (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2)))) (*.f64 y (sqrt.f64 x)))
accuracy	26.507697845188368	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
accuracy	30.586299421120728	#s(approx (- 1 x) #s(literal 1 binary64))
accuracy	0	(sqrt.f64 x)
accuracy	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) x #s(literal 1 binary64)))
accuracy	0.23828125	(/.f64 y (sqrt.f64 x))
accuracy	4.609527540154098	(fma.f64 (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) x #s(literal 1 binary64))

Samples

99.0ms

256×

valid

Compiler

Compiled 179 to 30 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 34.0ms (57.7% of total)

ival-div: 9.0ms (15.3% of total)

ival-add: 7.0ms (11.9% of total)

ival-sqrt: 3.0ms (5.1% of total)

ival-sub: 2.0ms (3.4% of total)

ival-pow2: 2.0ms (3.4% of total)

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

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

exact: 0.0ms (0% of total)

series81.0ms (1.4%)

Memory

-13.1MiB live, 65.5MiB allocated

Counts

17 → 372

Calls

Call 1

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

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((+ (- 1 x) (* y (sqrt x))) (+ (* (+ (/ y (sqrt x)) -1) x) 1) (+ (/ y (sqrt x)) -1) (/ y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (/ 1 (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2)))) (* y (sqrt x)) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (/ 1 (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2)))) (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2))) (/ (sqrt (/ 1 x)) y) (sqrt (/ 1 x)))
4.0ms	y	@	-inf	((+ (- 1 x) (* y (sqrt x))) (+ (* (+ (/ y (sqrt x)) -1) x) 1) (+ (/ y (sqrt x)) -1) (/ y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (/ 1 (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2)))) (* y (sqrt x)) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (/ 1 (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2)))) (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2))) (/ (sqrt (/ 1 x)) y) (sqrt (/ 1 x)))
3.0ms	x	@	-inf	((+ (- 1 x) (* y (sqrt x))) (+ (* (+ (/ y (sqrt x)) -1) x) 1) (+ (/ y (sqrt x)) -1) (/ y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (/ 1 (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2)))) (* y (sqrt x)) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (/ 1 (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2)))) (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2))) (/ (sqrt (/ 1 x)) y) (sqrt (/ 1 x)))
2.0ms	y	@	0	((+ (- 1 x) (* y (sqrt x))) (+ (* (+ (/ y (sqrt x)) -1) x) 1) (+ (/ y (sqrt x)) -1) (/ y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (/ 1 (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2)))) (* y (sqrt x)) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (/ 1 (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2)))) (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2))) (/ (sqrt (/ 1 x)) y) (sqrt (/ 1 x)))
2.0ms	x	@	0	((+ (- 1 x) (* y (sqrt x))) (+ (* (+ (/ y (sqrt x)) -1) x) 1) (+ (/ y (sqrt x)) -1) (/ y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (/ 1 (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2)))) (* y (sqrt x)) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (/ 1 (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2)))) (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2))) (/ (sqrt (/ 1 x)) y) (sqrt (/ 1 x)))

simplify221.0ms (3.8%)

Memory

-3.8MiB live, 247.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 314×	`lower-fma.f64`
7 314×	`lower-fma.f32`
4 154×	`lower-*.f64`
4 154×	`lower-*.f32`
3 022×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	466	6555
1	1528	5914
2	5511	5644
0	8521	5185

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

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

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

rewrite203.0ms (3.5%)

Memory

22.5MiB live, 283.9MiB allocated

Rules

6 840×	`lower-fma.f32`
6 836×	`lower-fma.f64`
4 494×	`lower-/.f32`
4 486×	`lower-/.f64`
3 652×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	214
0	52	211
1	236	199
2	1744	191
0	9075	178

Stop Event

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

Counts

17 → 350

Calls

Call 1

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

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

eval153.0ms (2.7%)

Memory: 11.5MiB live, 199.7MiB allocated
Compiler: Compiled 13 352 to 1 906 computations (85.7% saved)

prune142.0ms (2.5%)

Memory

-42.2MiB live, 152.6MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	802	3	805
Fresh	2	2	4
Picked	2	3	5
Done	0	2	2
Total	806	10	816

Accuracy

100.0%

Counts

816 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.5%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
▶	38.8%	#s(approx (/ 1 (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2)))) (/.f64 (*.f64 y x) (sqrt.f64 x)))
▶	35.6%	#s(approx (/ 1 (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2)))) (*.f64 (/.f64 y (sqrt.f64 x)) x))
✓	42.7%	#s(approx (/ 1 (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2)))) (*.f64 y (sqrt.f64 x)))
✓	92.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) x #s(literal 1 binary64)))
✓	73.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
✓	58.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶	26.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓	32.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
▶	66.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))))

Compiler

Compiled 96 to 92 computations (4.2% saved)

simplify141.0ms (2.5%)

Memory

19.6MiB live, 169.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 y x)
cost-diff	0	(/.f64 (*.f64 y x) (sqrt.f64 x))
cost-diff	0	#s(approx (/ 1 (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2)))) (/.f64 (*.f64 y x) (sqrt.f64 x)))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(/.f64 y (sqrt.f64 x))
cost-diff	0	(*.f64 (/.f64 y (sqrt.f64 x)) x)
cost-diff	0	#s(approx (/ 1 (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2)))) (*.f64 (/.f64 y (sqrt.f64 x)) x))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- 1 x) (neg.f64 x))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- 1 x) (neg.f64 x))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
cost-diff	0	(/.f64 y (sqrt.f64 x))
cost-diff	0	(fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))))

Rules

11 924×	`lower-fma.f32`
11 920×	`lower-fma.f64`
3 092×	`lower-*.f32`
3 088×	`lower-*.f64`
1 714×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	188
0	44	186
1	77	184
2	136	180
3	311	180
4	845	180
5	2545	180
6	5798	180
0	8082	170

Stop Event

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

Calls

Call 1

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

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

localize114.0ms (2%)

Memory

-9.3MiB live, 148.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0	(sqrt.f64 x)
accuracy	5.644342796903017	(/.f64 (*.f64 y x) (sqrt.f64 x))
accuracy	36.455761249975524	#s(approx (/ 1 (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2)))) (/.f64 (*.f64 y x) (sqrt.f64 x)))
accuracy	0	(sqrt.f64 x)
accuracy	0.23828125	(/.f64 y (sqrt.f64 x))
accuracy	7.484909971111906	(*.f64 (/.f64 y (sqrt.f64 x)) x)
accuracy	36.455761249975524	#s(approx (/ 1 (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2)))) (*.f64 (/.f64 y (sqrt.f64 x)) x))
accuracy	0	(sqrt.f64 x)
accuracy	0	(neg.f64 x)
accuracy	0.08203125	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
accuracy	33.85194197665254	#s(approx (- 1 x) (neg.f64 x))
accuracy	0	(neg.f64 x)
accuracy	26.507697845188368	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
accuracy	33.85194197665254	#s(approx (- 1 x) (neg.f64 x))
accuracy	0	#s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)))
accuracy	0.23828125	(/.f64 y (sqrt.f64 x))
accuracy	4.632965040154098	(fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))
accuracy	16.682611205827868	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))))

Samples

52.0ms

256×

valid

Compiler

Compiled 139 to 27 computations (80.6% saved)

Precisions

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

ival-add: 13.0ms (34.1% of total)

ival-mult: 9.0ms (23.6% of total)

ival-div: 6.0ms (15.7% of total)

ival-pow2: 5.0ms (13.1% of total)

ival-sub: 2.0ms (5.2% of total)

ival-sqrt: 2.0ms (5.2% of total)

ival-neg: 1.0ms (2.6% of total)

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

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

exact: 0.0ms (0% of total)

series44.0ms (0.8%)

Memory

-2.6MiB live, 34.5MiB allocated

Counts

14 → 300

Calls

Call 1

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

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

Calls

6 calls:

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

simplify181.0ms (3.2%)

Memory

3.5MiB live, 253.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 914×	`lower-fma.f64`
8 914×	`lower-fma.f32`
5 426×	`lower-*.f64`
5 426×	`lower-*.f32`
3 944×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	273	4781
1	869	4387
2	3049	4219
0	8544	3928

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

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

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

rewrite193.0ms (3.3%)

Memory

32.0MiB live, 247.9MiB allocated

Rules

10 470×	`lower-fma.f32`
10 466×	`lower-fma.f64`
4 348×	`lower-*.f32`
4 344×	`lower-*.f64`
4 014×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	160
0	44	158
1	209	152
2	1558	141
0	8949	132

Stop Event

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

Counts

14 → 261

Calls

Call 1

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

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

eval89.0ms (1.6%)

Memory: -3.6MiB live, 194.1MiB allocated
Compiler: Compiled 9 841 to 1 067 computations (89.2% saved)

prune132.0ms (2.3%)

Memory

-26.3MiB live, 188.0MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	728	1	729
Fresh	0	0	0
Picked	0	5	5
Done	1	4	5
Total	729	10	739

Accuracy

100.0%

Counts

739 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.4%	(fma.f64 (/.f64 y (sqrt.f64 x)) x #s(approx (- 1 x) (neg.f64 x)))
✓	66.5%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓	38.8%	#s(approx (/ 1 (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2)))) (/.f64 (*.f64 y x) (sqrt.f64 x)))
✓	35.6%	#s(approx (/ 1 (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2)))) (*.f64 (/.f64 y (sqrt.f64 x)) x))
✓	42.7%	#s(approx (/ 1 (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2)))) (*.f64 y (sqrt.f64 x)))
✓	73.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
✓	58.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
✓	26.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓	32.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
✓	66.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))))

Compiler

Compiled 306 to 137 computations (55.2% saved)

regimes58.0ms (1%)

Memory

5.4MiB live, 44.0MiB allocated

Counts

24 → 1

Calls

Call 1

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

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

Calls

3 calls:

43.0ms	x
7.0ms	y
7.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes9.0ms (0.2%)

Memory

20.0MiB live, 20.0MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.1%	2	`x`
97.4%	3	`y`
97.3%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes19.0ms (0.3%)

Memory

-20.6MiB live, 17.2MiB 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 (+ (- 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 (/ (+ (* (sqrt x) y) (+ (* -1 x) -1)) (- (* (* y x) y) (pow (- 1 x) 2)))) (*.f64 y (sqrt.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))

Outputs

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

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

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

Calls

3 calls:

13.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
97.0%	3	`y`
87.9%	3	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
80.4%	3	`x`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes3.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
93.2%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
58.6%	1	`x`
58.6%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
58.6%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes44.0ms (0.8%)

Memory

-28.2MiB live, 11.4MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

40.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
57.4%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
56.8%	2	`x`
38.2%	3	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes4.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB 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
32.9%	1	`y`
32.9%	1	`x`
32.9%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch12.0ms (0.2%)

Memory

24.4MiB live, 24.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.005232543584763699	47.84383237509053

Samples

6.0ms

128×

valid

Compiler

Compiled 115 to 124 computations (-7.8% saved)

Precisions

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

ival-sub: 1.0ms (31.8% of total)

ival-add: 1.0ms (31.8% of total)

ival-mult: 1.0ms (31.8% of total)

ival-sqrt: 1.0ms (31.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch28.0ms (0.5%)

Memory

-19.9MiB live, 51.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	9.506321413159839e+35	1.0935846527286844e+39
13.0ms	-4.1145407646872015e+34	-2.8155498859039984e+31

Samples

11.0ms

256×

valid

Compiler

Compiled 171 to 220 computations (-28.7% saved)

Precisions

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

ival-mult: 2.0ms (32.4% of total)

ival-sqrt: 2.0ms (32.4% of total)

ival-sub: 1.0ms (16.2% of total)

ival-add: 1.0ms (16.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch22.0ms (0.4%)

Memory

12.5MiB live, 48.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	9.506321413159839e+35	1.0935846527286844e+39
10.0ms	-5.067996957472575e+115	-4.2878891960660386e+111

Samples

10.0ms

224×

valid

Compiler

Compiled 155 to 204 computations (-31.6% saved)

Precisions

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

ival-sqrt: 2.0ms (37% of total)

ival-sub: 1.0ms (18.5% of total)

ival-add: 1.0ms (18.5% of total)

ival-mult: 1.0ms (18.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-46.84383237509053	0.9947674564152363

Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify29.0ms (0.5%)

Memory

7.5MiB live, 52.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))))
(if (<=.f64 y #s(literal -6400000000000000343434381081182208 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 89999999999999992307089061666856370176 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 -4399999999999999970206027317292245516609087662653273035102582525489641219561011134543828329716743468719051636736 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 y (sqrt.f64 x))) (if (<=.f64 y #s(literal 960000000000000069058010776275114786816 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 -40 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

Outputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x))))
(if (<=.f64 y #s(literal -6400000000000000343434381081182208 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 89999999999999992307089061666856370176 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 -4399999999999999970206027317292245516609087662653273035102582525489641219561011134543828329716743468719051636736 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 y (sqrt.f64 x))) (if (<=.f64 y #s(literal 960000000000000069058010776275114786816 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 -40 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))))
(if (<=.f64 (+.f64 (.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) #s(literal -40 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)))

soundness714.0ms (12.4%)

Memory

-10.0MiB live, 461.2MiB allocated

Rules

7 846×	`lower-fma.f64`
7 846×	`lower-fma.f32`
7 542×	`lower-fma.f64`
7 542×	`lower-fma.f32`
6 324×	`lower-fma.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
0	52	369
1	141	369
2	438	357
3	1298	357
4	4642	357
5	7358	357
0	8082	330
0	497	4961
1	1625	4532
2	5782	4318
0	8654	3956

Stop Event

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

Compiler

Compiled 167 to 104 computations (37.7% saved)

preprocess119.0ms (2.1%)

Memory: 7.9MiB live, 116.7MiB allocated
Compiler: Compiled 206 to 84 computations (59.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

start0.0ms (0%)

analyze44.0ms (0.8%)

sample723.0ms (12.5%)

explain86.0ms (1.5%)

preprocess50.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify13.0ms (0.2%)

localize37.0ms (0.6%)

series6.0ms (0.1%)

simplify107.0ms (1.9%)

rewrite166.0ms (2.9%)

eval87.0ms (1.5%)

prune50.0ms (0.9%)

simplify391.0ms (6.8%)

localize123.0ms (2.1%)

series37.0ms (0.6%)

simplify156.0ms (2.7%)

rewrite291.0ms (5.1%)

eval206.0ms (3.6%)

prune169.0ms (2.9%)

simplify135.0ms (2.3%)

localize118.0ms (2%)

series81.0ms (1.4%)

simplify221.0ms (3.8%)

rewrite203.0ms (3.5%)

eval153.0ms (2.7%)

prune142.0ms (2.5%)

simplify141.0ms (2.5%)

localize114.0ms (2%)

series44.0ms (0.8%)

simplify181.0ms (3.2%)

rewrite193.0ms (3.3%)

eval89.0ms (1.6%)

prune132.0ms (2.3%)

regimes58.0ms (1%)

regimes9.0ms (0.2%)

regimes19.0ms (0.3%)

regimes3.0ms (0.1%)

regimes6.0ms (0.1%)

regimes44.0ms (0.8%)

regimes4.0ms (0.1%)

bsearch12.0ms (0.2%)

bsearch28.0ms (0.5%)

bsearch22.0ms (0.4%)

bsearch0.0ms (0%)

simplify29.0ms (0.5%)

soundness714.0ms (12.4%)

preprocess119.0ms (2.1%)

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