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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze17.0ms (0.3%)

Memory

-25.5MiB live, 14.0MiB 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)

sample701.0ms (14%)

Memory

17.0MiB live, 754.3MiB allocated

Samples

421.0ms	8 254×	0	valid
13.0ms	294×	0	invalid
0.0ms	1×	2	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 247.0ms

ival-sub: 81.0ms (32.8% of total)

ival-sqrt: 59.0ms (23.9% of total)

ival-mult: 54.0ms (21.9% of total)

ival-add: 38.0ms (15.4% of total)

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

exact: 5.0ms (2% of total)

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

adjust: 0.0ms (0% of total)

Bogosity

explain104.0ms (2.1%)

Memory

23.9MiB live, 104.9MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

26.0ms	510×	0	valid
0.0ms	2×	2	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 (30.7% of total)

ival-mult: 3.0ms (23% of total)

ival-sub: 3.0ms (23% of total)

ival-add: 2.0ms (15.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

preprocess51.0ms (1%)

Memory

7.1MiB live, 43.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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)

simplify17.0ms (0.3%)

Memory

-20.7MiB live, 15.2MiB 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)

localize21.0ms (0.4%)

Memory

2.5MiB live, 39.3MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

16.0ms	255×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 22 to 9 computations (59.1% saved)

Precisions

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

ival-sqrt: 5.0ms (52.2% of total)

ival-mult: 2.0ms (20.9% of total)

ival-add: 1.0ms (10.4% of total)

ival-sub: 1.0ms (10.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB 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
1.0ms	x	@	-inf	((+ (- 1 x) (* y (sqrt x))) (- 1 x) (* y (sqrt x)) (sqrt x))
1.0ms	y	@	inf	((+ (- 1 x) (* y (sqrt x))) (- 1 x) (* y (sqrt x)) (sqrt x))
1.0ms	x	@	0	((+ (- 1 x) (* y (sqrt x))) (- 1 x) (* y (sqrt x)) (sqrt x))
1.0ms	y	@	-inf	((+ (- 1 x) (* y (sqrt x))) (- 1 x) (* y (sqrt x)) (sqrt x))
1.0ms	y	@	0	((+ (- 1 x) (* y (sqrt x))) (- 1 x) (* y (sqrt x)) (sqrt x))

simplify113.0ms (2.3%)

Memory

17.1MiB live, 134.9MiB 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)

rewrite204.0ms (4.1%)

Memory

-17.3MiB live, 280.1MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 252

Calls

Call 1

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

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

eval313.0ms (6.3%)

Memory: -27.1MiB live, 90.2MiB allocated
Compiler: Compiled 5 943 to 749 computations (87.4% saved)

prune11.0ms (0.2%)

Memory

29.4MiB live, 29.4MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

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

Accuracy

100.0%

Counts

325 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.1%	(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))
	38.6%	(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (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)))))
▶	99.7%	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
	99.8%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
▶	93.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)))
▶	67.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
▶	60.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
	65.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
	41.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))

Compiler

Compiled 246 to 178 computations (27.6% saved)

simplify54.0ms (1.1%)

Memory

-3.9MiB live, 34.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
cost-diff	0	(pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
cost-diff	7168	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
cost-diff	0	(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))

Rules

944×	`lower-fma.f32`
936×	`lower-fma.f64`
432×	`lower-*.f64`
432×	`lower-*.f32`
248×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	139
0	34	132
1	54	132
2	81	132
3	163	132
4	294	132
5	514	132
6	933	132
7	1224	132
8	1331	132
9	1372	132
10	1400	132
11	1419	132
12	1420	132
0	1420	132

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize73.0ms (1.5%)

Memory

11.6MiB live, 85.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(sqrt.f64 x)
accuracy	0.06640625	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
accuracy	0.125	(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
accuracy	0.631824423107724	(pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
accuracy	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)))
accuracy	0.12109375	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64))
accuracy	0.12109375	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	4.102479783077313	(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64))
accuracy	0	(sqrt.f64 x)
accuracy	0.08984375	(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
accuracy	20.68779084512636	#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	25.175638856261067	#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	0.06640625	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))

Samples

59.0ms	255×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 128 to 21 computations (83.6% saved)

Precisions

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

ival-pow: 6.0ms (22.8% of total)

ival-mult: 6.0ms (22.8% of total)

ival-add: 5.0ms (19% of total)

ival-div: 4.0ms (15.2% of total)

ival-sqrt: 4.0ms (15.2% of total)

ival-sub: 1.0ms (3.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series30.0ms (0.6%)

Memory

-27.7MiB live, 20.6MiB allocated

Counts

12 → 252

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	x	@	-inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (sqrt (/ 1 x)) y) -1) x) 1) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (pow (+ (* (sqrt x) y) (- 1 x)) -1))
2.0ms	y	@	0	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (sqrt (/ 1 x)) y) -1) x) 1) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (pow (+ (* (sqrt x) y) (- 1 x)) -1))
1.0ms	y	@	-inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (sqrt (/ 1 x)) y) -1) x) 1) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (pow (+ (* (sqrt x) y) (- 1 x)) -1))
1.0ms	y	@	inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (sqrt (/ 1 x)) y) -1) x) 1) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (pow (+ (* (sqrt x) y) (- 1 x)) -1))
1.0ms	x	@	inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (- 1 x) (* y (sqrt x))) (+ (* (+ (* (sqrt (/ 1 x)) y) -1) x) 1) (+ (* (sqrt (/ 1 x)) y) -1) (sqrt (/ 1 x)) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (pow (+ (* (sqrt x) y) (- 1 x)) -1))

simplify202.0ms (4.1%)

Memory

-13.4MiB live, 191.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 200×	`lower-fma.f64`
10 200×	`lower-fma.f32`
4 678×	`lower-*.f64`
4 678×	`lower-*.f32`
3 222×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	2574
1	677	2389
2	1991	2330
3	7535	2330
0	9069	2107

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

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

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

rewrite189.0ms (3.8%)

Memory

14.1MiB live, 244.7MiB allocated

Rules

10 384×	`lower-fma.f32`
10 376×	`lower-fma.f64`
4 296×	`lower-*.f64`
4 296×	`lower-*.f32`
3 334×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	103
0	34	96
1	151	92
2	994	92
0	8509	92

Stop Event

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

Counts

12 → 675

Calls

Call 1

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

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

eval342.0ms (6.8%)

Memory: 33.0MiB live, 295.9MiB allocated
Compiler: Compiled 25 842 to 2 280 computations (91.2% saved)

prune104.0ms (2.1%)

Memory

-32.7MiB live, 107.4MiB allocated

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	1 262	9	1 271
Fresh	5	0	5
Picked	3	2	5
Done	0	0	0
Total	1 270	11	1 281

Accuracy

100.0%

Counts

1 281 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.5%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
	50.2%	(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))))
▶	40.9%	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))
▶	41.0%	#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 y (sqrt.f64 x)))
▶	93.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x)))
✓	67.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
	42.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (fma.f64 (*.f64 x y) y #s(literal -1 binary64)) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))))
✓	60.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
	32.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
▶	28.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
▶	64.1%	#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 180 to 143 computations (20.6% saved)

simplify75.0ms (1.5%)

Memory

18.5MiB live, 55.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

1 216×	`lower-fma.f32`
1 212×	`lower-fma.f64`
640×	`lower-*.f32`
636×	`lower-*.f64`
360×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	199
0	45	199
1	70	195
2	106	195
3	186	195
4	320	195
5	607	195
6	1221	195
7	1699	195
8	2001	195
9	2100	195
10	2166	195
11	2186	195
12	2190	195
13	2194	195
0	2194	187

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize93.0ms (1.9%)

Memory

2.4MiB live, 118.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.12109375	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	0.125	(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))
accuracy	0.19921875	(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
accuracy	37.71333576957077	#s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
accuracy	0	#s(approx (+ (* y (sqrt x)) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
accuracy	0.12109375	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy	4.042568950056926	(fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
accuracy	20.68779084512636	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
accuracy	0	(sqrt.f64 x)
accuracy	0.20703125	(*.f64 y (sqrt.f64 x))
accuracy	37.724304217599645	#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 y (sqrt.f64 x)))
accuracy	25.175638856261067	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
accuracy	34.55981564991708	#s(approx (- 1 x) #s(literal 1 binary64))
accuracy	0	(sqrt.f64 x)
accuracy	0	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x)))
accuracy	0.1796875	(/.f64 y (sqrt.f64 x))
accuracy	4.102479783077313	(fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x))

Samples

77.0ms	255×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 139 to 24 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-sqrt: 22.0ms (37.6% of total)

ival-mult: 15.0ms (25.6% of total)

ival-div: 9.0ms (15.4% of total)

ival-add: 5.0ms (8.5% of total)

ival-pow: 4.0ms (6.8% of total)

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series42.0ms (0.8%)

Memory

8.5MiB live, 44.6MiB allocated

Counts

16 → 348

Calls

Call 1

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

Outputs
#s(alt (- 1 x) (taylor 0 y) (#s(alt #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) 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))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) 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))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) 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))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x))) (patch #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- 1 x) (taylor 0 y) (#s(alt (fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* (sqrt x) y)) x) (taylor 0 y) (#s(alt (fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* (sqrt x) y)) x) (taylor 0 y) (#s(alt (fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* (sqrt x) y)) x) (taylor 0 y) (#s(alt (fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) 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 (- 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>) () ())) ())
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#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 (- 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 (- (+ 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 (- 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 (- (+ 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 (- 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 (- (+ 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 (- 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 -inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (.f64 y (sqrt.f64 x))) (patch #s(approx (/ 1 (pow (+ ( (sqrt x) y) (- 1 x)) -1)) (*.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (.f64 y (sqrt.f64 x))) (patch #s(approx (/ 1 (pow (+ ( (sqrt x) y) (- 1 x)) -1)) (*.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (.f64 y (sqrt.f64 x))) (patch #s(approx (/ 1 (pow (+ ( (sqrt x) y) (- 1 x)) -1)) (*.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (.f64 y (sqrt.f64 x))) (patch #s(approx (/ 1 (pow (+ ( (sqrt x) y) (- 1 x)) -1)) (*.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (.f64 y (sqrt.f64 x)) (patch (.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (.f64 y (sqrt.f64 x)) (patch (.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (.f64 y (sqrt.f64 x)) (patch (.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (.f64 y (sqrt.f64 x)) (patch (.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -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 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (taylor -inf x) (#s(alt #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) (patch #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) x)) (taylor -inf x) (#s(alt #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) (patch #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) (+ (/ 1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))) x)) (taylor -inf x) (#s(alt #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) (patch #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 4))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) x)) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) x)) (taylor -inf x) (#s(alt #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) (patch #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) y)) (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)) (/ (pow (sqrt -1) 2) y)) (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)) (/ (pow (sqrt -1) 2) y)) (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)) (/ (pow (sqrt -1) 2) y)) (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)) (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
21.0ms	x	@	inf	((+ (- 1 x) (* y (sqrt x))) (+ (* (/ y (sqrt x)) x) (- 1 x)) (/ y (sqrt x)) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (* y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/ (sqrt (/ 1 x)) y) (sqrt (/ 1 x)))
4.0ms	x	@	-inf	((+ (- 1 x) (* y (sqrt x))) (+ (* (/ y (sqrt x)) x) (- 1 x)) (/ y (sqrt x)) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (* y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/ (sqrt (/ 1 x)) y) (sqrt (/ 1 x)))
2.0ms	y	@	-inf	((+ (- 1 x) (* y (sqrt x))) (+ (* (/ y (sqrt x)) x) (- 1 x)) (/ y (sqrt x)) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (* y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/ (sqrt (/ 1 x)) y) (sqrt (/ 1 x)))
1.0ms	x	@	0	((+ (- 1 x) (* y (sqrt x))) (+ (* (/ y (sqrt x)) x) (- 1 x)) (/ y (sqrt x)) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (* y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/ (sqrt (/ 1 x)) y) (sqrt (/ 1 x)))
1.0ms	y	@	0	((+ (- 1 x) (* y (sqrt x))) (+ (* (/ y (sqrt x)) x) (- 1 x)) (/ y (sqrt x)) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (* y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (* (* y x) (sqrt (/ 1 x))) 1) (* y x) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/ (sqrt (/ 1 x)) y) (sqrt (/ 1 x)))

simplify202.0ms (4%)

Memory

-25.4MiB live, 210.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 824×	`lower-fma.f64`
9 824×	`lower-fma.f32`
4 538×	`lower-*.f64`
4 538×	`lower-*.f32`
3 122×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	223	3055
1	650	2812
2	1991	2770
3	7417	2770
0	8897	2537

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

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

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

rewrite166.0ms (3.3%)

Memory

35.0MiB live, 275.2MiB allocated

Rules

4 866×	`lower-fma.f32`
4 862×	`lower-fma.f64`
3 536×	`lower-/.f32`
3 528×	`lower-/.f64`
3 256×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	172
0	45	170
1	184	161
2	1223	153
0	8905	140

Stop Event

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

Counts

16 → 537

Calls

Call 1

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

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

eval232.0ms (4.7%)

Memory: 5.8MiB live, 268.8MiB allocated
Compiler: Compiled 15 215 to 2 319 computations (84.8% saved)

prune28.0ms (0.6%)

Memory

11.6MiB live, 84.7MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	961	4	965
Fresh	2	2	4
Picked	2	3	5
Done	0	2	2
Total	965	11	976

Accuracy

100.0%

Counts

976 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.5%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
▶	37.5%	#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x)))
▶	34.6%	#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (/.f64 y (sqrt.f64 x)) x))
✓	41.0%	#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 y (sqrt.f64 x)))
✓	67.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
	63.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (sqrt.f64 x) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y x))) (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))))
✓	60.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶	32.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓	28.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
▶	61.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))))
✓	64.1%	#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 143 to 118 computations (17.5% saved)

simplify45.0ms (0.9%)

Memory

-8.0MiB live, 42.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

688×	`lower-fma.f32`
684×	`lower-fma.f64`
384×	`lower-*.f32`
380×	`lower-*.f64`
280×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	164
0	37	164
1	61	156
2	84	156
3	140	156
4	234	156
5	386	156
6	654	156
7	1340	156
8	1487	156
9	1519	156
10	1554	156
11	1573	156
0	1573	150

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

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

localize58.0ms (1.2%)

Memory

-4.0MiB live, 106.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)))
accuracy	0.1796875	(/.f64 y (sqrt.f64 x))
accuracy	4.125917283077313	(fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))
accuracy	20.68779084512636	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))))
accuracy	0	(*.f64 y x)
accuracy	0	(sqrt.f64 x)
accuracy	8.47731892635598	(/.f64 (*.f64 y x) (sqrt.f64 x))
accuracy	37.724304217599645	#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x)))
accuracy	0	(sqrt.f64 x)
accuracy	0.1796875	(/.f64 y (sqrt.f64 x))
accuracy	7.625666535099863	(*.f64 (/.f64 y (sqrt.f64 x)) x)
accuracy	37.724304217599645	#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (/.f64 y (sqrt.f64 x)) x))
accuracy	0	(neg.f64 x)
accuracy	25.175638856261067	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
accuracy	30.385585528841084	#s(approx (- 1 x) (neg.f64 x))
accuracy	0	(sqrt.f64 x)
accuracy	0	(neg.f64 x)
accuracy	0.06640625	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
accuracy	30.385585528841084	#s(approx (- 1 x) (neg.f64 x))

Samples

43.0ms	255×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 115 to 21 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-add: 9.0ms (30.9% of total)

ival-mult: 6.0ms (20.6% of total)

ival-div: 5.0ms (17.1% of total)

ival-pow: 4.0ms (13.7% of total)

ival-sqrt: 2.0ms (6.9% of total)

ival-sub: 1.0ms (3.4% of total)

ival-neg: 1.0ms (3.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series58.0ms (1.2%)

Memory

-34.6MiB live, 74.6MiB allocated

Counts

14 → 300

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

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

Calls

6 calls:

Time	Variable		Point	Expression
37.0ms	x	@	-inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (* (/ y (sqrt x)) x) (/ y (sqrt x)) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/ (* y x) (sqrt x)) (* y x) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (* (/ y (sqrt x)) x) 1))
1.0ms	y	@	-inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (* (/ y (sqrt x)) x) (/ y (sqrt x)) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/ (* y x) (sqrt x)) (* y x) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (* (/ y (sqrt x)) x) 1))
1.0ms	y	@	inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (* (/ y (sqrt x)) x) (/ y (sqrt x)) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/ (* y x) (sqrt x)) (* y x) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (* (/ y (sqrt x)) x) 1))
1.0ms	y	@	0	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (* (/ y (sqrt x)) x) (/ y (sqrt x)) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/ (* y x) (sqrt x)) (* y x) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (* (/ y (sqrt x)) x) 1))
1.0ms	x	@	inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (* (/ y (sqrt x)) x) (/ y (sqrt x)) (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/ (* y x) (sqrt x)) (* y x) (+ (- 1 x) (* y (sqrt x))) (+ (* y (sqrt x)) 1) (+ (* (/ y (sqrt x)) x) 1))

simplify126.0ms (2.5%)

Memory

25.8MiB live, 141.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 942×	`lower-fma.f64`
7 942×	`lower-fma.f32`
2 930×	`lower-*.f64`
2 930×	`lower-*.f32`
1 460×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	1907
1	187	1823
2	539	1823
3	1423	1823
4	3593	1823
5	5980	1823
0	8176	1650

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

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

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

rewrite184.0ms (3.7%)

Memory

4.4MiB live, 163.1MiB allocated

Rules

7 872×	`lower-fma.f32`
7 868×	`lower-fma.f64`
3 640×	`lower-/.f32`
3 636×	`lower-/.f64`
3 548×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	136
0	37	132
1	165	128
2	1086	117
0	8844	108

Stop Event

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

Counts

14 → 260

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

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

eval92.0ms (1.8%)

Memory: -14.3MiB live, 174.7MiB allocated
Compiler: Compiled 7 769 to 938 computations (87.9% saved)

prune78.0ms (1.6%)

Memory

-6.1MiB live, 70.6MiB allocated

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	737	0	737
Fresh	0	1	1
Picked	0	5	5
Done	0	5	5
Total	737	11	748

Accuracy

100.0%

Counts

748 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.5%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓	37.5%	#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x)))
✓	34.6%	#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (/.f64 y (sqrt.f64 x)) x))
✓	41.0%	#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 y (sqrt.f64 x)))
✓	67.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
	63.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (sqrt.f64 x) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y x))) (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))))
✓	60.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
✓	32.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓	28.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
✓	61.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))))
✓	64.1%	#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 348 to 160 computations (54% saved)

regimes40.0ms (0.8%)

Memory

-16.6MiB live, 38.1MiB 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 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 y (sqrt.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 (/.f64 y (sqrt.f64 x)) x))
#s(approx (/ 1 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (/.f64 (*.f64 y x) (sqrt.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* y (sqrt x)) 1) (fma.f64 (*.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (fma.f64 (*.f64 x y) y #s(literal -1 binary64)) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (sqrt x) y) (- 1 x)) -1) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (sqrt.f64 x) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 y x))) (.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 x))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (neg.f64 (/.f64 (.f64 (.f64 y x) y) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)) #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))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (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)))))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes21.0ms (0.4%)

Memory

28.7MiB live, 28.7MiB allocated

Counts

7 → 2

Calls

Call 1

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

14.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
98.6%	2	`x`
97.2%	3	`y`
98.3%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes12.0ms (0.2%)

Memory

-13.7MiB live, 21.2MiB allocated

Counts

6 → 3

Calls

Call 1

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

Calls

3 calls:

6.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
96.1%	3	`y`
86.6%	3	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
80.3%	2	`x`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes3.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB 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 (pow (+ (* (sqrt x) y) (- 1 x)) -1)) (*.f64 y (sqrt.f64 x)))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
94.8%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory

18.4MiB live, 18.4MiB 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	x
2.0ms	y
2.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

Accuracy	Segments	Branch
60.7%	1	`x`
60.7%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
60.7%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes7.0ms (0.1%)

Memory

-19.4MiB live, 17.8MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
37.1%	3	`y`
59.3%	2	`x`
59.8%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes4.0ms (0.1%)

Memory

12.7MiB live, 12.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
28.6%	1	`y`
28.6%	1	`x`
28.6%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch13.0ms (0.3%)

Memory

-10.3MiB live, 25.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.11710306096396633	2.181833561804592

Samples

5.0ms

112×

valid

Compiler

Compiled 102 to 110 computations (-7.8% saved)

Precisions

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

ival-sub: 1.0ms (35.2% of total)

ival-add: 1.0ms (35.2% of total)

ival-mult: 1.0ms (35.2% of total)

ival-sqrt: 1.0ms (35.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch33.0ms (0.7%)

Memory

-17.7MiB live, 70.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	7.73712262178464e+65	2.503156646317995e+79
16.0ms	-1.2634773595153033e+66	-2.3012211901217835e+50

Samples

17.0ms

320×

valid

Compiler

Compiled 201 to 262 computations (-30.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 5.0ms (47.4% of total)

ival-sub: 2.0ms (18.9% of total)

ival-sqrt: 2.0ms (18.9% of total)

ival-add: 1.0ms (9.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch14.0ms (0.3%)

Memory

33.6MiB live, 33.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	8.200269069467149e+92	1.3131727813701608e+100
1.0ms	-1.2634773595153033e+66	-2.3012211901217835e+50

Samples

7.0ms

144×

valid

Compiler

Compiled 182 to 240 computations (-31.9% saved)

Precisions

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

ival-sub: 1.0ms (27.2% of total)

ival-add: 1.0ms (27.2% of total)

ival-mult: 1.0ms (27.2% of total)

ival-sqrt: 1.0ms (27.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.1818335618045919	0.8828969390360337

Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify26.0ms (0.5%)

Memory

-8.4MiB live, 65.9MiB 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	37	194
1	45	194
2	48	194
3	49	194

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 -700000000000000017847296581279883647018250175320141502053898780672 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 y (sqrt.f64 x))) (if (<=.f64 y #s(literal 2400000000000000174075447315670164302780098583151652693243704373149696 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 -700000000000000017847296581279883647018250175320141502053898780672 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 y (sqrt.f64 x))) (if (<=.f64 y #s(literal 420000000000000023313316655781970749419046536862082456496424316809353879149799762943533681475584 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 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 -700000000000000017847296581279883647018250175320141502053898780672 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 y (sqrt.f64 x))) (if (<=.f64 y #s(literal 2400000000000000174075447315670164302780098583151652693243704373149696 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 -700000000000000017847296581279883647018250175320141502053898780672 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 y (sqrt.f64 x))) (if (<=.f64 y #s(literal 420000000000000023313316655781970749419046536862082456496424316809353879149799762943533681475584 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 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 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)))

soundness723.0ms (14.5%)

Memory

-1.1MiB live, 470.9MiB allocated

Rules

10 200×	`lower-fma.f64`
10 200×	`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	52	369
1	141	369
2	438	357
3	1298	357
4	4642	357
5	7358	357
0	8082	330
0	231	2574
1	677	2389
2	1991	2330
3	7535	2330
0	9069	2107
0	7	17
0	11	17
1	46	17
2	357	17
3	5315	17
0	8974	16

Stop Event

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

Compiler

Compiled 170 to 106 computations (37.6% saved)

preprocess55.0ms (1.1%)

Memory: -1.3MiB live, 118.4MiB allocated
Compiler: Compiled 204 to 80 computations (60.8% 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%)

analyze17.0ms (0.3%)

sample701.0ms (14%)

explain104.0ms (2.1%)

preprocess51.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify17.0ms (0.3%)

localize21.0ms (0.4%)

series6.0ms (0.1%)

simplify113.0ms (2.3%)

rewrite204.0ms (4.1%)

eval313.0ms (6.3%)

prune11.0ms (0.2%)

simplify54.0ms (1.1%)

localize73.0ms (1.5%)

series30.0ms (0.6%)

simplify202.0ms (4.1%)

rewrite189.0ms (3.8%)

eval342.0ms (6.8%)

prune104.0ms (2.1%)

simplify75.0ms (1.5%)

localize93.0ms (1.9%)

series42.0ms (0.8%)

simplify202.0ms (4%)

rewrite166.0ms (3.3%)

eval232.0ms (4.7%)

prune28.0ms (0.6%)

simplify45.0ms (0.9%)

localize58.0ms (1.2%)

series58.0ms (1.2%)

simplify126.0ms (2.5%)

rewrite184.0ms (3.7%)

eval92.0ms (1.8%)

prune78.0ms (1.6%)

regimes40.0ms (0.8%)

regimes21.0ms (0.4%)

regimes12.0ms (0.2%)

regimes3.0ms (0.1%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch13.0ms (0.3%)

bsearch33.0ms (0.7%)

bsearch14.0ms (0.3%)

bsearch0.0ms (0%)

simplify26.0ms (0.5%)

soundness723.0ms (14.5%)

preprocess55.0ms (1.1%)

end0.0ms (0%)

Profiling

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