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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze8.0ms (0.2%)

Memory

11.6MiB live, 11.6MiB 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)

sample905.0ms (16.7%)

Memory

15.7MiB live, 842.6MiB allocated

Samples

644.0ms	8 254×	0	valid
14.0ms	262×	0	invalid
0.0ms	1×	1	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 433.0ms

ival-sub: 257.0ms (59.4% of total)

ival-sqrt: 72.0ms (16.6% of total)

ival-mult: 54.0ms (12.5% of total)

ival-add: 36.0ms (8.3% of total)

ival-true: 6.0ms (1.4% of total)

exact: 5.0ms (1.2% of total)

ival-assert: 3.0ms (0.7% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain79.0ms (1.5%)

Memory

21.3MiB live, 96.6MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

26.0ms

512×

valid

Compiler

Compiled 52 to 25 computations (51.9% saved)

Precisions

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

ival-sqrt: 4.0ms (31.2% of total)

ival-sub: 3.0ms (23.4% of total)

ival-mult: 3.0ms (23.4% of total)

ival-add: 2.0ms (15.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess51.0ms (0.9%)

Memory

-48.8MiB live, 48.0MiB 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

simplify14.0ms (0.3%)

Memory

4.4MiB live, 4.4MiB 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)

localize18.0ms (0.3%)

Memory

24.9MiB live, 25.0MiB 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	0.2421875	(*.f64 y (sqrt.f64 x))

Samples

13.0ms

256×

valid

Compiler

Compiled 22 to 9 computations (59.1% saved)

Precisions

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

ival-mult: 2.0ms (31.8% of total)

ival-sqrt: 2.0ms (31.8% of total)

ival-sub: 1.0ms (15.9% of total)

ival-add: 1.0ms (15.9% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

-28.7MiB live, 9.9MiB 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
3.0ms	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))

simplify121.0ms (2.2%)

Memory

19.1MiB live, 136.3MiB 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)

rewrite172.0ms (3.2%)

Memory

23.7MiB live, 129.8MiB 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
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eval59.0ms (1.1%)

Memory: -16.8MiB live, 99.3MiB allocated
Compiler: Compiled 5 943 to 749 computations (87.4% saved)

prune39.0ms (0.7%)

Memory

-2.0MiB live, 36.6MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

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

Accuracy

100.0%

Counts

325 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))
	75.8%	(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))
	99.9%	(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))
	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))))
▶	63.5%	(.f64 (fma.f64 (.f64 y x) y (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) (/.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))))
	93.9%	(.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))))
▶	66.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
▶	63.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶	64.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
	37.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))

Compiler

Compiled 316 to 188 computations (40.5% saved)

simplify138.0ms (2.5%)

Memory

40.3MiB live, 153.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

9 944×	`lower-fma.f32`
9 934×	`lower-fma.f64`
3 980×	`lower-*.f32`
3 972×	`lower-*.f64`
2 596×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	223
0	44	186
1	77	186
2	151	186
3	412	186
4	2024	186
5	5804	186
0	8209	186

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

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

localize112.0ms (2.1%)

Memory

-54.3MiB live, 136.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.08984375	(fma.f64 (sqrt.f64 x) y x)
accuracy	4.281236238027801	(fma.f64 (.f64 y x) y (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))
accuracy	20.85238718393461	(.f64 (fma.f64 (.f64 y x) y (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) (/.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))))
accuracy	21.95874529024283	(/.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 y x) y (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))))
accuracy	0.10546875	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
accuracy	0.1328125	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	3.210457546192626	(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x)
accuracy	19.79750380721928	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
accuracy	0	(sqrt.f64 x)
accuracy	0.1015625	(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
accuracy	21.609610835015918	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	23.477596346287605	#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	0.0703125	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))

Samples

93.0ms

256×

valid

Compiler

Compiled 223 to 26 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 27.0ms (63.3% of total)

ival-add: 6.0ms (14.1% of total)

ival-sqrt: 4.0ms (9.4% of total)

ival-div: 3.0ms (7% of total)

ival-sub: 2.0ms (4.7% of total)

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

exact: 0.0ms (0% of total)

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

series44.0ms (0.8%)

Memory

3.9MiB live, 81.8MiB allocated

Counts

16 → 348

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	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) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (* (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (/ (+ (* (sqrt x) y) (- 1 x)) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))))) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (* y x) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x))) (/ (+ (* (sqrt x) y) (- 1 x)) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x))))) (+ (* (sqrt x) y) x))
5.0ms	x	@	-inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (* (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (/ (+ (* (sqrt x) y) (- 1 x)) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))))) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (* y x) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x))) (/ (+ (* (sqrt x) y) (- 1 x)) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x))))) (+ (* (sqrt x) y) x))
4.0ms	x	@	inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (* (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (/ (+ (* (sqrt x) y) (- 1 x)) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))))) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (* y x) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x))) (/ (+ (* (sqrt x) y) (- 1 x)) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x))))) (+ (* (sqrt x) y) x))
4.0ms	y	@	-inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (* (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (/ (+ (* (sqrt x) y) (- 1 x)) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))))) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (* y x) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x))) (/ (+ (* (sqrt x) y) (- 1 x)) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x))))) (+ (* (sqrt x) y) x))
3.0ms	y	@	0	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (* (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (/ (+ (* (sqrt x) y) (- 1 x)) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))))) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x)))) (* y x) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x))) (/ (+ (* (sqrt x) y) (- 1 x)) (+ (* (* y x) y) (* (- 1 x) (- 1 (+ (* (sqrt x) y) x))))) (+ (* (sqrt x) y) x))

simplify265.0ms (4.9%)

Memory

27.3MiB live, 258.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 178×	`lower-fma.f64`
10 178×	`lower-fma.f32`
5 162×	`lower-*.f64`
5 162×	`lower-*.f32`
4 434×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	457	6041
1	1468	5353
2	5222	5192
0	8791	4845

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 347

Calls

Call 1

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

rewrite289.0ms (5.3%)

Memory

-21.8MiB live, 234.0MiB allocated

Rules

5 224×	`lower-fma.f32`
5 214×	`lower-fma.f64`
4 882×	`lower-/.f32`
4 878×	`lower-/.f64`
3 708×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	181
0	44	144
1	190	140
2	1540	140
0	8459	140

Stop Event

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

Counts

16 → 829

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

Outputs
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eval388.0ms (7.2%)

Memory: 9.9MiB live, 494.7MiB allocated
Compiler: Compiled 94 817 to 4 168 computations (95.6% saved)

prune49.0ms (0.9%)

Memory

-0.1MiB live, 142.5MiB allocated

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	1 950	8	1 958
Fresh	4	2	6
Picked	2	3	5
Done	0	0	0
Total	1 956	13	1 969

Accuracy

100.0%

Counts

1 969 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
	69.0%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
▶	99.9%	(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))
▶	64.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)))
	66.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
✓	66.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
	46.8%	#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))))
✓	63.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
	32.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
▶	37.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))
	33.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
▶	30.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
▶	62.6%	#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 175 to 159 computations (9.1% saved)

simplify59.0ms (1.1%)

Memory

8.4MiB live, 46.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

912×	`lower-fma.f32`
908×	`lower-fma.f64`
544×	`lower-*.f32`
538×	`lower-*.f64`
330×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	162
0	40	162
1	69	162
2	110	162
3	182	162
4	330	162
5	745	162
6	1720	162
7	1936	162
8	2018	162
9	2121	162
10	2149	162
11	2151	162
12	2151	162
0	2151	155

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize113.0ms (2.1%)

Memory

2.2MiB live, 119.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
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	0.1328125	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	4.553249821479635	(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
accuracy	21.609610835015918	#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	(neg.f64 x)
accuracy	0.18359375	(/.f64 y (sqrt.f64 x))
accuracy	3.202645046192626	(fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x))
accuracy	19.79750380721928	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)))
accuracy	0	(sqrt.f64 x)
accuracy	0.2421875	(*.f64 y (sqrt.f64 x))
accuracy	40.07268493212554	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))
accuracy	23.477596346287605	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
accuracy	33.5723797151172	#s(approx (- 1 x) #s(literal 1 binary64))
accuracy	0	(sqrt.f64 x)
accuracy	0.00390625	(-.f64 x (*.f64 (sqrt.f64 x) y))
accuracy	0.00390625	(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))
accuracy	0.2421875	(*.f64 (sqrt.f64 x) y)

Samples

65.0ms

256×

valid

Compiler

Compiled 117 to 22 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-sub: 28.0ms (53.9% of total)

ival-mult: 10.0ms (19.3% of total)

ival-sqrt: 5.0ms (9.6% of total)

ival-add: 4.0ms (7.7% of total)

ival-div: 3.0ms (5.8% of total)

ival-neg: 1.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series66.0ms (1.2%)

Memory

0.5MiB live, 36.5MiB allocated

Counts

17 → 360

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
46.0ms	x	@	0	((- 1 (- x (* (sqrt x) y))) (- x (* (sqrt x) y)) (* (sqrt x) y) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (* y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (+ (* (/ y (sqrt x)) x) (neg x)) (/ y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (neg x) (sqrt (/ 1 x)))
5.0ms	x	@	-inf	((- 1 (- x (* (sqrt x) y))) (- x (* (sqrt x) y)) (* (sqrt x) y) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (* y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (+ (* (/ y (sqrt x)) x) (neg x)) (/ y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (neg x) (sqrt (/ 1 x)))
2.0ms	y	@	-inf	((- 1 (- x (* (sqrt x) y))) (- x (* (sqrt x) y)) (* (sqrt x) y) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (* y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (+ (* (/ y (sqrt x)) x) (neg x)) (/ y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (neg x) (sqrt (/ 1 x)))
1.0ms	x	@	inf	((- 1 (- x (* (sqrt x) y))) (- x (* (sqrt x) y)) (* (sqrt x) y) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (* y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (+ (* (/ y (sqrt x)) x) (neg x)) (/ y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (neg x) (sqrt (/ 1 x)))
1.0ms	y	@	inf	((- 1 (- x (* (sqrt x) y))) (- x (* (sqrt x) y)) (* (sqrt x) y) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (* y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (+ (* (/ y (sqrt x)) x) (neg x)) (/ y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (neg x) (sqrt (/ 1 x)))

simplify205.0ms (3.8%)

Memory

-15.0MiB live, 138.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 394×	`lower-fma.f64`
9 394×	`lower-fma.f32`
3 578×	`lower-*.f64`
3 578×	`lower-*.f32`
1 760×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	2331
1	264	2225
2	733	2213
3	1909	2210
4	4418	2210
5	7581	2210
0	8076	2032

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 359

Calls

Call 1

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

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

rewrite146.0ms (2.7%)

Memory

12.5MiB live, 202.2MiB allocated

Rules

5 474×	`lower-fma.f32`
5 470×	`lower-fma.f64`
3 634×	`lower-/.f32`
3 630×	`lower-/.f64`
3 366×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	144
0	40	144
1	165	140
2	1202	130
0	9193	120

Stop Event

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

Counts

17 → 645

Calls

Call 1

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

Outputs
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eval227.0ms (4.2%)

Memory: 27.9MiB live, 369.3MiB allocated
Compiler: Compiled 16 038 to 2 180 computations (86.4% saved)

prune58.0ms (1.1%)

Memory

23.5MiB live, 140.7MiB allocated

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	1 071	3	1 074
Fresh	2	3	5
Picked	0	5	5
Done	0	3	3
Total	1 073	14	1 087

Accuracy

100.0%

Counts

1 087 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
▶	69.0%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓	99.9%	(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))
✓	64.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)))
✓	66.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
▶	33.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (*.f64 y x) (sqrt.f64 x)))
✓	63.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶	32.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
▶	37.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (/.f64 x (sqrt.f64 x))))
	37.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) x))))
✓	37.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))
▶	33.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓	30.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
✓	62.6%	#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 141 to 130 computations (7.8% saved)

simplify87.0ms (1.6%)

Memory

-13.2MiB live, 67.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

752×	`lower-fma.f32`
750×	`lower-fma.f64`
480×	`lower-*.f32`
472×	`lower-*.f64`
430×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	177
0	41	177
1	57	177
2	78	177
3	108	177
4	178	177
5	302	177
6	598	177
7	1314	177
8	1688	177
9	1834	177
10	1970	177
11	1999	177
12	2004	177
13	2005	177
0	2005	170

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize141.0ms (2.6%)

Memory

-39.5MiB live, 159.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.22265625	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
accuracy	3.210457546192626	(.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x)
accuracy	19.79750380721928	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
accuracy	31.286492084983994	#s(approx (+ (* (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
accuracy	0	(*.f64 y x)
accuracy	0	(sqrt.f64 x)
accuracy	6.812590193467127	(/.f64 (*.f64 y x) (sqrt.f64 x))
accuracy	40.07268493212554	#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (*.f64 y x) (sqrt.f64 x)))
accuracy	0	(sqrt.f64 x)
accuracy	0.2421875	(*.f64 y (/.f64 x (sqrt.f64 x)))
accuracy	0.5	(/.f64 x (sqrt.f64 x))
accuracy	40.07268493212554	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (/.f64 x (sqrt.f64 x))))
accuracy	0	(neg.f64 x)
accuracy	23.477596346287605	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
accuracy	30.708350116266644	#s(approx (- 1 x) (neg.f64 x))
accuracy	0	(sqrt.f64 x)
accuracy	0	(neg.f64 x)
accuracy	0.0703125	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
accuracy	30.708350116266644	#s(approx (- 1 x) (neg.f64 x))

Samples

89.0ms

256×

valid

Compiler

Compiled 118 to 22 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 9.0ms (38.7% of total)

ival-div: 4.0ms (17.2% of total)

ival-sqrt: 4.0ms (17.2% of total)

ival-add: 3.0ms (12.9% of total)

ival-sub: 1.0ms (4.3% of total)

ival-neg: 1.0ms (4.3% of total)

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

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

exact: 0.0ms (0% of total)

series33.0ms (0.6%)

Memory

-16.1MiB live, 22.0MiB allocated

Counts

15 → 312

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* y (/ x (sqrt x))) (/ x (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (/ (* y x) (sqrt x)) (* y x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (* (sqrt (/ 1 x)) y))
1.0ms	y	@	-inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* y (/ x (sqrt x))) (/ x (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (/ (* y x) (sqrt x)) (* y x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (* (sqrt (/ 1 x)) y))
1.0ms	y	@	inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* y (/ x (sqrt x))) (/ x (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (/ (* y x) (sqrt x)) (* y x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (* (sqrt (/ 1 x)) y))
1.0ms	x	@	inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* y (/ x (sqrt x))) (/ x (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (/ (* y x) (sqrt x)) (* y x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (* (sqrt (/ 1 x)) y))
1.0ms	y	@	0	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* y (/ x (sqrt x))) (/ x (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (/ (* y x) (sqrt x)) (* y x) (+ (- 1 x) (* y (sqrt x))) (* (+ (* (sqrt (/ 1 x)) y) -1) x) (+ (* (sqrt (/ 1 x)) y) -1) (* (sqrt (/ 1 x)) y))

simplify146.0ms (2.7%)

Memory

44.3MiB live, 194.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 378×	`lower-fma.f64`
8 378×	`lower-fma.f32`
3 840×	`lower-*.f64`
3 840×	`lower-*.f32`
1 970×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	2017
1	188	1954
2	546	1886
3	1509	1886
4	3898	1886
5	7464	1886
0	8119	1731

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

rewrite155.0ms (2.9%)

Memory

-1.7MiB live, 194.5MiB allocated

Rules

7 990×	`lower-fma.f32`
7 988×	`lower-fma.f64`
5 066×	`lower-*.f32`
5 058×	`lower-*.f64`
3 754×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	148
0	41	146
1	132	132
2	758	124
0	8504	120

Stop Event

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

Counts

15 → 351

Calls

Call 1

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

Outputs
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eval101.0ms (1.9%)

Memory: -8.5MiB live, 182.5MiB allocated
Compiler: Compiled 9 318 to 1 206 computations (87.1% saved)

prune68.0ms (1.3%)

Memory

-0.4MiB live, 97.8MiB allocated

Pruning

14 alts after pruning (1 fresh and 13 done)

	Pruned	Kept	Total
New	845	1	846
Fresh	1	0	1
Picked	0	5	5
Done	0	8	8
Total	846	14	860

Accuracy

100.0%

Counts

860 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
✓	69.0%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓	99.9%	(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))
✓	64.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)))
✓	66.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
✓	33.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (*.f64 y x) (sqrt.f64 x)))
	37.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))
✓	63.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
✓	32.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
✓	37.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (/.f64 x (sqrt.f64 x))))
✓	37.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))
✓	33.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓	30.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
✓	62.6%	#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 359 to 169 computations (52.9% saved)

regimes24.0ms (0.4%)

Memory

6.0MiB 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 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)))
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (/.f64 x (sqrt.f64 x))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (*.f64 y x) (sqrt.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (+ ( (sqrt (/ 1 x)) y) -1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) #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))) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) x))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (fma.f64 (*.f64 y x) y #s(literal -1 binary64)) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (neg.f64 (/.f64 (.f64 (.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))))
(.f64 (fma.f64 (.f64 y x) y (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))) (/.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 y x) y (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))))
(.f64 (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))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (-.f64 #s(literal 1 binary64) x))

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

Calls

3 calls:

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

regimes11.0ms (0.2%)

Memory

-16.8MiB live, 21.2MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	y
3.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
3.0ms	x

Results

Accuracy	Segments	Branch
98.3%	2	`x`
95.3%	3	`y`
97.9%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes8.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
94.1%	3	`y`
86.2%	3	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
80.7%	2	`x`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes4.0ms (0.1%)

Memory

-34.4MiB live, 6.2MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
92.2%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
63.3%	1	`x`
63.3%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
63.3%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes5.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB 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:

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

Results

Accuracy	Segments	Branch
41.3%	4	`y`
62.4%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
61.9%	2	`x`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes4.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB 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	x
1.0ms	y
1.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

Accuracy	Segments	Branch
30.2%	1	`y`
30.2%	1	`x`
30.2%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch28.0ms (0.5%)

Memory

-19.9MiB live, 18.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	0.0065494154007744755	1.933909614821625

Samples

22.0ms

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 (31.9% of total)

ival-add: 1.0ms (31.9% of total)

ival-mult: 1.0ms (31.9% of total)

ival-sqrt: 1.0ms (31.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch53.0ms (1%)

Memory

4.5MiB live, 41.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
38.0ms	2.4384216073783863e+33	1.9921926499875581e+40
13.0ms	-1.4162438217913414e+49	-9.135921870790301e+36

Samples

40.0ms

304×

valid

Compiler

Compiled 201 to 259 computations (-28.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-sqrt: 28.0ms (83.6% of total)

ival-sub: 2.0ms (6% of total)

ival-mult: 2.0ms (6% of total)

ival-add: 1.0ms (3% 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

11.9MiB live, 47.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	6.45049951022046e+92	4.437933027007126e+95
12.0ms	-1.4162438217913414e+49	-9.135921870790301e+36

Samples

16.0ms

272×

valid

Compiler

Compiled 173 to 228 computations (-31.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 5.0ms (50.7% of total)

ival-sub: 2.0ms (20.3% of total)

ival-sqrt: 2.0ms (20.3% of total)

ival-add: 1.0ms (10.1% 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	-0.933909614821625	0.9805730219709688

Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify28.0ms (0.5%)

Memory

18.0MiB live, 58.3MiB 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 -2600000000000000054805850998728369897472 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 14000000000000000667085603720730968588288 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 -420000000000000002189326396010666549788498984960 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 y (sqrt.f64 x))) (if (<=.f64 y #s(literal 739999999999999997361572990023339067163521557858062734744917204416557229701088819722640687104 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 -1/2 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 -2600000000000000054805850998728369897472 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 14000000000000000667085603720730968588288 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 -420000000000000002189326396010666549788498984960 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 y (sqrt.f64 x))) (if (<=.f64 y #s(literal 739999999999999997361572990023339067163521557858062734744917204416557229701088819722640687104 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 -1/2 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 -1/2 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)))

soundness766.0ms (14.1%)

Memory

-12.1MiB live, 458.7MiB allocated

Rules

10 178×	`lower-fma.f64`
10 178×	`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	457	6041
1	1468	5353
2	5222	5192
0	8791	4845

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)

preprocess86.0ms (1.6%)

Memory: 13.3MiB live, 124.0MiB allocated
Compiler: Compiled 206 to 84 computations (59.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

start0.0ms (0%)

analyze8.0ms (0.2%)

sample905.0ms (16.7%)

explain79.0ms (1.5%)

preprocess51.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify14.0ms (0.3%)

localize18.0ms (0.3%)

series9.0ms (0.2%)

simplify121.0ms (2.2%)

rewrite172.0ms (3.2%)

eval59.0ms (1.1%)

prune39.0ms (0.7%)

simplify138.0ms (2.5%)

localize112.0ms (2.1%)

series44.0ms (0.8%)

simplify265.0ms (4.9%)

rewrite289.0ms (5.3%)

eval388.0ms (7.2%)

prune49.0ms (0.9%)

simplify59.0ms (1.1%)

localize113.0ms (2.1%)

series66.0ms (1.2%)

simplify205.0ms (3.8%)

rewrite146.0ms (2.7%)

eval227.0ms (4.2%)

prune58.0ms (1.1%)

simplify87.0ms (1.6%)

localize141.0ms (2.6%)

series33.0ms (0.6%)

simplify146.0ms (2.7%)

rewrite155.0ms (2.9%)

eval101.0ms (1.9%)

prune68.0ms (1.3%)

regimes24.0ms (0.4%)

regimes11.0ms (0.2%)

regimes8.0ms (0.1%)

regimes4.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch28.0ms (0.5%)

bsearch53.0ms (1%)

bsearch28.0ms (0.5%)

bsearch0.0ms (0%)

simplify28.0ms (0.5%)

soundness766.0ms (14.1%)

preprocess86.0ms (1.6%)

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