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

analyze8.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 10 to 9 computations (10% saved)

sample729.0ms (9.6%)

Memory

12.7MiB live, 1 061.5MiB allocated

Samples

455.0ms	8 255×	0	valid
11.0ms	248×	0	invalid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 266.0ms

ival-add: 69.0ms (25.9% of total)

ival-sub: 63.0ms (23.7% of total)

ival-sqrt: 62.0ms (23.3% of total)

ival-mult: 57.0ms (21.4% of total)

ival-true: 6.0ms (2.3% of total)

exact: 5.0ms (1.9% of total)

ival-assert: 3.0ms (1.1% of total)

adjust: 0.0ms (0% of total)

Bogosity

preprocess49.0ms (0.6%)

Memory

30.4MiB live, 78.4MiB 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 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))

explain79.0ms (1%)

Memory

-43.5MiB live, 124.4MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

27.0ms

512×

valid

Compiler

Compiled 64 to 32 computations (50% saved)

Precisions

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

ival-sqrt: 5.0ms (36.7% of total)

ival-sub: 3.0ms (22% of total)

ival-mult: 3.0ms (22% of total)

ival-add: 2.0ms (14.7% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 7 computations (30% saved)

simplify19.0ms (0.3%)

Memory

15.3MiB live, 15.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)

localize23.0ms (0.3%)

Memory

-6.6MiB live, 32.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
✓	accuracy	99.7%	(*.f64 y (sqrt.f64 x))

Samples

16.0ms

256×

valid

Compiler

Compiled 22 to 9 computations (59.1% saved)

Precisions

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

ival-sub: 3.0ms (33.3% of total)

ival-mult: 3.0ms (33.3% of total)

ival-sqrt: 2.0ms (22.2% of total)

ival-add: 1.0ms (11.1% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

4 → 72

Calls

Call 1

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

Outputs
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (- 1 x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (* (sqrt x) y)>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>

Calls

18 calls:

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

simplify206.0ms (2.7%)

Memory

3.7MiB live, 274.5MiB 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	4657	357
5	7379	357
0	8084	330

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

rewrite393.0ms (5.2%)

Memory

22.7MiB live, 413.1MiB allocated

Algorithm

1×	batch-egg-rewrite

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

eval40.0ms (0.5%)

Memory: 12.0MiB live, 92.0MiB allocated
Compiler: Compiled 7 394 to 715 computations (90.3% saved)

prune109.0ms (1.4%)

Memory

-16.5MiB live, 99.2MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	315	9	324
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	316	9	325

Accuracy

100.0%

Counts

325 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.4%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (.f64 x (*.f64 y y))) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))
	67.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
	99.9%	(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
▶	99.9%	(-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) (neg.f64 y) x))
	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))))
▶	68.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
▶	65.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
	35.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
▶	62.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))

Compiler

Compiled 202 to 128 computations (36.6% saved)

simplify441.0ms (5.8%)

Memory

-229.2MiB live, 416.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

11 094×	`lower-fma.f32`
11 086×	`lower-fma.f64`
2 282×	`lower-*.f32`
2 274×	`lower-*.f64`
1 872×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	176
0	50	176
1	101	172
2	202	172
3	420	172
4	1117	168
5	2503	168
6	4410	168
7	6580	168
8	7421	168
9	7895	168
0	8006	163

Stop Event

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

Calls

Call 1

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

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

localize114.0ms (1.5%)

Memory

-17.2MiB live, 135.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 y (sqrt.f64 x) x)
✓	accuracy	89.2%	(.f64 x (.f64 y y))
✓	accuracy	84.9%	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (.f64 x (*.f64 y y)))
✓	accuracy	63.7%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (.f64 x (*.f64 y y))) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))
✓	accuracy	99.9%	(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	96.5%	(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
✓	accuracy	65.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.9%	(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
✓	accuracy	68.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	65.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) (neg.f64 y) x))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	99.9%	(fma.f64 (sqrt.f64 x) (neg.f64 y) x)

Samples

57.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 166 to 29 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-add: 15.0ms (36.3% of total)

ival-mult: 11.0ms (26.6% of total)

ival-div: 5.0ms (12.1% of total)

ival-sub: 4.0ms (9.7% of total)

ival-sqrt: 4.0ms (9.7% of total)

ival-neg: 1.0ms (2.4% 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)

series21.0ms (0.3%)

Memory

34.0MiB live, 34.0MiB allocated

Counts

18 → 360

Calls

Call 1

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

Outputs
#<alt (- 1 (* -1 (* (sqrt x) y)))>
#<alt (- (+ 1 (* -1 x)) (* -1 (* (sqrt x) y)))>
#<alt (- (+ 1 (* -1 x)) (* -1 (* (sqrt x) y)))>
#<alt (- (+ 1 (* -1 x)) (* -1 (* (sqrt x) y)))>
#<alt (* -1 (* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y)))))>
#<alt (* x (- (/ 1 x) (+ 1 (* -1 (* (sqrt (/ 1 x)) y)))))>
#<alt (* x (- (/ 1 x) (+ 1 (* -1 (* (sqrt (/ 1 x)) y)))))>
#<alt (* x (- (/ 1 x) (+ 1 (* -1 (* (sqrt (/ 1 x)) y)))))>
#<alt (* -1 (* x (- 1 (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* x (- 1 (+ (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (+ (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (+ (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x)))))>
#<alt (- 1 x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (* (sqrt x) y)>
#<alt (* y (- (/ 1 y) (+ (* -1 (sqrt x)) (/ x y))))>
#<alt (* y (- (/ 1 y) (+ (* -1 (sqrt x)) (/ x y))))>
#<alt (* y (- (/ 1 y) (+ (* -1 (sqrt x)) (/ x y))))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (- (* -1 (/ (- 1 x) y)) (sqrt x))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 x) y)) (sqrt x))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 x) y)) (sqrt x))))>
#<alt (* -1 (* (sqrt x) y))>
#<alt (+ x (* -1 (* (sqrt x) y)))>
#<alt (+ x (* -1 (* (sqrt x) y)))>
#<alt (+ x (* -1 (* (sqrt x) y)))>
#<alt (* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y))))>
#<alt (* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y))))>
#<alt (* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y))))>
#<alt (* x (+ 1 (* -1 (* (sqrt (/ 1 x)) y))))>
#<alt (* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)))>
#<alt x>
#<alt (+ x (* -1 (* (sqrt x) y)))>
#<alt (+ x (* -1 (* (sqrt x) y)))>
#<alt (+ x (* -1 (* (sqrt x) y)))>
#<alt (* -1 (* (sqrt x) y))>
#<alt (* y (+ (* -1 (sqrt x)) (/ x y)))>
#<alt (* y (+ (* -1 (sqrt x)) (/ x y)))>
#<alt (* y (+ (* -1 (sqrt x)) (/ x y)))>
#<alt (* -1 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (sqrt x) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (sqrt x) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (sqrt x) (* -1 (/ x y)))))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (- 1 x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (* (sqrt x) y)>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (- 1 x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (* (sqrt x) y)>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (* (sqrt x) y)>
#<alt (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))>
#<alt (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))>
#<alt (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (* (sqrt x) y)>
#<alt (* y (+ (sqrt x) (/ 1 y)))>
#<alt (* y (+ (sqrt x) (/ 1 y)))>
#<alt (* y (+ (sqrt x) (/ 1 y)))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (- 1 x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (* (sqrt x) y)>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* (sqrt x) y)>
#<alt (+ (* -1 x) (* (sqrt x) y))>
#<alt (+ (* -1 x) (* (sqrt x) y))>
#<alt (+ (* -1 x) (* (sqrt x) y))>
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))>
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))>
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))>
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))>
#<alt (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))>
#<alt (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))>
#<alt (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))>
#<alt (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* (sqrt x) y))>
#<alt (+ (* -1 x) (* (sqrt x) y))>
#<alt (+ (* -1 x) (* (sqrt x) y))>
#<alt (* (sqrt x) y)>
#<alt (* y (+ (sqrt x) (* -1 (/ x y))))>
#<alt (* y (+ (sqrt x) (* -1 (/ x y))))>
#<alt (* y (+ (sqrt x) (* -1 (/ x y))))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))>
#<alt -1>
#<alt (- (* (sqrt (/ 1 x)) y) 1)>
#<alt (- (* (sqrt (/ 1 x)) y) 1)>
#<alt (- (* (sqrt (/ 1 x)) y) 1)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* y (- (sqrt (/ 1 x)) (/ 1 y)))>
#<alt (* y (- (sqrt (/ 1 x)) (/ 1 y)))>
#<alt (* y (- (sqrt (/ 1 x)) (/ 1 y)))>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (/ (+ (* -1 x) (* (sqrt x) y)) x)>
#<alt (/ (+ (* -1 x) (* (sqrt x) y)) x)>
#<alt (/ (+ (* -1 x) (* (sqrt x) y)) x)>
#<alt (- (* (sqrt (/ 1 x)) y) 1)>
#<alt (- (* (sqrt (/ 1 x)) y) 1)>
#<alt (- (* (sqrt (/ 1 x)) y) 1)>
#<alt (- (* (sqrt (/ 1 x)) y) 1)>
#<alt (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)>
#<alt (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)>
#<alt (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)>
#<alt (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt 1>
#<alt (+ 1 (* x (- 2 (pow y 2))))>
#<alt (+ 1 (* x (- (+ 2 x) (pow y 2))))>
#<alt (+ 1 (* x (- (+ 2 x) (pow y 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- (+ 1 (* 2 (/ 1 x))) (/ (pow y 2) x)))>
#<alt (* (pow x 2) (- (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))) (/ (pow y 2) x)))>
#<alt (* (pow x 2) (- (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))) (/ (pow y 2) x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (pow y 2) x)) (* 2 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (pow y 2) x)) (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (pow y 2) x)) (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))))>
#<alt (pow (+ 1 x) 2)>
#<alt (+ (* -1 (* x (pow y 2))) (pow (+ 1 x) 2))>
#<alt (+ (* -1 (* x (pow y 2))) (pow (+ 1 x) 2))>
#<alt (+ (* -1 (* x (pow y 2))) (pow (+ 1 x) 2))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (- (/ (pow (+ 1 x) 2) (pow y 2)) x))>
#<alt (* (pow y 2) (- (/ (pow (+ 1 x) 2) (pow y 2)) x))>
#<alt (* (pow y 2) (- (/ (pow (+ 1 x) 2) (pow y 2)) x))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (- (/ (pow (+ 1 x) 2) (pow y 2)) x))>
#<alt (* (pow y 2) (- (/ (pow (+ 1 x) 2) (pow y 2)) x))>
#<alt (* (pow y 2) (- (/ (pow (+ 1 x) 2) (pow y 2)) x))>
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 x)))>
#<alt (+ 1 (* x (+ 2 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (/ 1 (- 1 (* (sqrt x) y)))>
#<alt (+ (* x (- (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (/ (pow y 2) (- 1 (* (sqrt x) y))))) (/ 1 (- 1 (* (sqrt x) y))))>
#<alt (+ (* x (- (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (+ (* x (- (/ 1 (- 1 (* (sqrt x) y))) (* -1 (/ (- (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (/ (pow y 2) (- 1 (* (sqrt x) y)))) (- 1 (* (sqrt x) y)))))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ (pow y 2) (- 1 (* (sqrt x) y))))) (/ 1 (- 1 (* (sqrt x) y))))>
#<alt (+ (* x (- (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (+ (* x (- (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* x (- (/ 1 (- 1 (* (sqrt x) y))) (* -1 (/ (- (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (/ (pow y 2) (- 1 (* (sqrt x) y)))) (- 1 (* (sqrt x) y)))))) (- 1 (* (sqrt x) y)))) (* -1 (/ (- (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (/ (pow y 2) (- 1 (* (sqrt x) y)))) (- 1 (* (sqrt x) y)))))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ (pow y 2) (- 1 (* (sqrt x) y))))) (/ 1 (- 1 (* (sqrt x) y))))>
#<alt (* -1 (/ x (+ 1 (* (sqrt (/ 1 x)) y))))>
#<alt (* x (- (* -1 (/ (- 2 (pow y 2)) (* x (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))))>
#<alt (* x (- (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- 2 (pow y 2)) (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (pow x 2))) (* -1 (/ (- 2 (pow y 2)) (* x (+ 1 (* (sqrt (/ 1 x)) y)))))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))))>
#<alt (* x (- (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- 2 (pow y 2)) (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (pow x 3))) (* -1 (/ (- 2 (pow y 2)) (* x (+ 1 (* (sqrt (/ 1 x)) y)))))) (+ (* -1 (/ (- (* -1 (/ (- 2 (pow y 2)) (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))))))>
#<alt (* -1 (/ x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (+ 2 (* -1 (pow y 2))) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (+ 2 (* -1 (pow y 2))) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (* -1 (/ (- (+ (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (* -1 (/ (+ 2 (* -1 (pow y 2))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (+ 2 (* -1 (pow y 2))) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (+ 2 (* -1 (pow y 2))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (+ (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 4)))) x)) (+ (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)))) (* -1 (/ (+ 2 (* -1 (pow y 2))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))>
#<alt (/ (pow (+ 1 x) 2) (- 1 x))>
#<alt (+ (* (sqrt x) (/ (* y (pow (+ 1 x) 2)) (pow (- 1 x) 2))) (/ (pow (+ 1 x) 2) (- 1 x)))>
#<alt (+ (* y (- (* y (- (* -1 (/ x (- 1 x))) (* -1 (/ (* x (pow (+ 1 x) 2)) (pow (- 1 x) 3))))) (* -1 (* (sqrt x) (/ (pow (+ 1 x) 2) (pow (- 1 x) 2)))))) (/ (pow (+ 1 x) 2) (- 1 x)))>
#<alt (+ (* y (- (* y (- (+ (* -1 (/ x (- 1 x))) (* (sqrt x) (/ (* y (- (* -1 (/ x (- 1 x))) (* -1 (/ (* x (pow (+ 1 x) 2)) (pow (- 1 x) 3))))) (- 1 x)))) (* -1 (/ (* x (pow (+ 1 x) 2)) (pow (- 1 x) 3))))) (* -1 (* (sqrt x) (/ (pow (+ 1 x) 2) (pow (- 1 x) 2)))))) (/ (pow (+ 1 x) 2) (- 1 x)))>
#<alt (* (sqrt x) y)>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (* -1 (* (sqrt (/ 1 x)) (/ (pow (+ 1 x) 2) (pow y 2))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) (pow y 2)))) (* -1 (/ (- 1 x) y)))))>
#<alt (* y (- (+ (sqrt x) (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (+ 1 x) 2) (pow y 2)))) (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- (* -1 (* (sqrt (/ 1 x)) (pow (+ 1 x) 2))) (* -1 (* (sqrt (/ 1 x)) (pow (- 1 x) 2))))) (pow y 3))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) (pow y 2)))) (* -1 (/ (- 1 x) y)))))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (* -1 (/ (- (* (sqrt (/ 1 x)) (pow (+ 1 x) 2)) (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) y)) (* -1 (- 1 x))) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (* -1 (/ (- (+ (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- (* (sqrt (/ 1 x)) (pow (+ 1 x) 2)) (* (sqrt (/ 1 x)) (pow (- 1 x) 2)))) y)) (* (sqrt (/ 1 x)) (pow (+ 1 x) 2))) (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) y)) (* -1 (- 1 x))) y)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt x>
#<alt (+ x (* (sqrt x) y))>
#<alt (+ x (* (sqrt x) y))>
#<alt (+ x (* (sqrt x) y))>
#<alt (* (sqrt x) y)>
#<alt (* y (+ (sqrt x) (/ x y)))>
#<alt (* y (+ (sqrt x) (/ x y)))>
#<alt (* y (+ (sqrt x) (/ x y)))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ x y)))))>
#<alt (* (sqrt x) y)>
#<alt (+ x (* (sqrt x) y))>
#<alt (+ x (* (sqrt x) y))>
#<alt (+ x (* (sqrt x) y))>
#<alt (* x (+ 1 (* (sqrt (/ 1 x)) y)))>
#<alt (* x (+ 1 (* (sqrt (/ 1 x)) y)))>
#<alt (* x (+ 1 (* (sqrt (/ 1 x)) y)))>
#<alt (* x (+ 1 (* (sqrt (/ 1 x)) y)))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))>

Calls

90 calls:

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

simplify444.0ms (5.8%)

Memory

12.2MiB live, 718.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 674×	`lower-fma.f64`
11 674×	`lower-fma.f32`
4 676×	`lower-*.f64`
4 676×	`lower-*.f32`
3 456×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	347	4119
1	1120	3711
2	3547	3559
0	8662	3337

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 356

Calls

Call 1

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

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

rewrite602.0ms (7.9%)

Memory

-5.8MiB live, 731.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 910×	`lower-/.f32`
4 906×	`lower-/.f64`
4 594×	`lower-*.f32`
4 586×	`lower-*.f64`
4 152×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	144
0	50	138
1	228	130
2	1857	126
0	8826	126

Stop Event

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

Counts

18 → 884

Calls

Call 1

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

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

eval237.0ms (3.1%)

Memory: -5.4MiB live, 356.3MiB allocated
Compiler: Compiled 39 377 to 3 352 computations (91.5% saved)

prune193.0ms (2.5%)

Memory

-4.4MiB live, 276.7MiB allocated

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	1 346	6	1 352
Fresh	3	1	4
Picked	3	2	5
Done	0	0	0
Total	1 352	9	1 361

Accuracy

100.0%

Counts

1 361 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
▶	35.7%	#s(approx (/ (- (* (+ 1 x) (+ 1 x)) (* x (* y y))) (- 1 (+ (* y (sqrt x)) x))) (*.f64 (sqrt.f64 x) y))
	64.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)))
▶	65.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y (neg.f64 x)))
✓	68.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
✓	65.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶	32.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
▶	34.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
	65.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y x) #s(literal 1 binary64))))

Compiler

Compiled 140 to 81 computations (42.1% saved)

simplify313.0ms (4.1%)

Memory

11.9MiB live, 397.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

10 930×	`lower-fma.f32`
10 926×	`lower-fma.f64`
2 264×	`lower-*.f32`
2 262×	`lower-*.f64`
1 722×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	141
0	38	137
1	80	137
2	178	137
3	358	137
4	900	135
5	1854	135
6	4058	135
7	6689	135
8	7598	135
0	8037	129

Stop Event

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

Calls

Call 1

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

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

localize68.0ms (0.9%)

Memory

-22.1MiB live, 131.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	99.9%	(fma.f64 (sqrt.f64 x) y (neg.f64 x))
✓	accuracy	65.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y (neg.f64 x)))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.7%	(*.f64 (sqrt.f64 x) y)
✓	accuracy	35.7%	#s(approx (/ (- (* (+ 1 x) (+ 1 x)) (* x (* y y))) (- 1 (+ (* y (sqrt x)) x))) (*.f64 (sqrt.f64 x) y))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	65.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓	accuracy	51.7%	#s(approx (- 1 x) (neg.f64 x))
✓	accuracy	65.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
✓	accuracy	47.2%	#s(approx (- 1 x) #s(literal 1 binary64))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.9%	(fma.f64 y (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
✓	accuracy	98.8%	(/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))

Samples

42.0ms

256×

valid

Compiler

Compiled 117 to 23 computations (80.3% saved)

Precisions

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

ival-div: 7.0ms (23.8% of total)

ival-mult: 7.0ms (23.8% of total)

ival-add: 5.0ms (17% of total)

ival-sub: 5.0ms (17% of total)

ival-sqrt: 4.0ms (13.6% of total)

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

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

21.5MiB live, 21.5MiB allocated

Counts

13 → 264

Calls

Call 1

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

Outputs
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* (sqrt x) y)))>
#<alt (+ 1 (+ x (* (sqrt x) y)))>
#<alt (+ 1 (+ x (* (sqrt x) y)))>
#<alt (* (sqrt x) y)>
#<alt (* y (+ (sqrt x) (+ (/ 1 y) (/ x y))))>
#<alt (* y (+ (sqrt x) (+ (/ 1 y) (/ x y))))>
#<alt (* y (+ (sqrt x) (+ (/ 1 y) (/ x y))))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 x) y)))))>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (+ x (* (sqrt x) y)))>
#<alt (+ 1 (+ x (* (sqrt x) y)))>
#<alt (+ 1 (+ x (* (sqrt x) y)))>
#<alt (* x (+ 1 (* (sqrt (/ 1 x)) y)))>
#<alt (* x (+ 1 (+ (* (sqrt (/ 1 x)) y) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* (sqrt (/ 1 x)) y) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* (sqrt (/ 1 x)) y) (/ 1 x))))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (/ 1 (+ 1 x))>
#<alt (+ (* -1 (* (sqrt x) (/ y (pow (+ 1 x) 2)))) (/ 1 (+ 1 x)))>
#<alt (+ (* y (- (/ (* x y) (pow (+ 1 x) 3)) (* (sqrt x) (/ 1 (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))>
#<alt (+ (* y (- (* y (- (* -1 (* (sqrt (pow x 3)) (/ y (pow (+ 1 x) 4)))) (* -1 (/ x (pow (+ 1 x) 3))))) (* (sqrt x) (/ 1 (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))>
#<alt (* (sqrt (/ 1 x)) (/ 1 y))>
#<alt (/ (+ (sqrt (/ 1 x)) (* -1 (/ (+ 1 (/ 1 x)) y))) y)>
#<alt (/ (- (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (+ 1 (/ 1 x))) (pow y 2)))) (+ (/ 1 y) (/ 1 (* x y)))) y)>
#<alt (/ (- (+ (sqrt (/ 1 x)) (* -1 (/ (* (pow (+ 1 x) 2) (+ 1 (/ 1 x))) (* x (pow y 3))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (+ 1 (/ 1 x))) (pow y 2)))) (+ (/ 1 y) (/ 1 (* x y))))) y)>
#<alt (* (sqrt (/ 1 x)) (/ 1 y))>
#<alt (* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (+ (/ 1 y) (/ 1 (* x y)))) y))>
#<alt (* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (+ 1 (/ 1 x))) y)) (+ 1 (/ 1 x))) y))) y))>
#<alt (* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 1 x) 2) (+ 1 (/ 1 x))) (* x y)) (* (sqrt (/ 1 x)) (* (+ 1 x) (+ 1 (/ 1 x))))) y)) (+ 1 (/ 1 x))) y))) y))>
#<alt (/ 1 (+ 1 (* (sqrt x) y)))>
#<alt (+ (* -1 (/ x (pow (+ 1 (* (sqrt x) y)) 2))) (/ 1 (+ 1 (* (sqrt x) y))))>
#<alt (+ (* x (- (/ x (pow (+ 1 (* (sqrt x) y)) 3)) (/ 1 (pow (+ 1 (* (sqrt x) y)) 2)))) (/ 1 (+ 1 (* (sqrt x) y))))>
#<alt (+ (* x (- (* x (+ (* -1 (/ x (pow (+ 1 (* (sqrt x) y)) 4))) (/ 1 (pow (+ 1 (* (sqrt x) y)) 3)))) (/ 1 (pow (+ 1 (* (sqrt x) y)) 2)))) (/ 1 (+ 1 (* (sqrt x) y))))>
#<alt (/ 1 (* x (+ 1 (* (sqrt (/ 1 x)) y))))>
#<alt (/ (- (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) x)>
#<alt (/ (- (+ (/ 1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) x)>
#<alt (/ (- (+ (/ 1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 4))))) x)>
#<alt (/ -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (/ (+ (/ 1 (* x (pow (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) 2))) (/ 1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))) x))>
#<alt (* -1 (/ (+ (/ 1 (* x (pow (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) 2))) (+ (/ 1 (* (pow x 2) (pow (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) 3))) (/ 1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) 4))) (/ 1 (pow (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) 3))) x)) (/ 1 (pow (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) 2))) x)) (/ 1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))) x))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* (sqrt x) y)))>
#<alt (+ 1 (+ x (* (sqrt x) y)))>
#<alt (+ 1 (+ x (* (sqrt x) y)))>
#<alt (* (sqrt x) y)>
#<alt (* y (+ (sqrt x) (+ (/ 1 y) (/ x y))))>
#<alt (* y (+ (sqrt x) (+ (/ 1 y) (/ x y))))>
#<alt (* y (+ (sqrt x) (+ (/ 1 y) (/ x y))))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 x) y)))))>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (+ x (* (sqrt x) y)))>
#<alt (+ 1 (+ x (* (sqrt x) y)))>
#<alt (+ 1 (+ x (* (sqrt x) y)))>
#<alt (* x (+ 1 (* (sqrt (/ 1 x)) y)))>
#<alt (* x (+ 1 (+ (* (sqrt (/ 1 x)) y) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* (sqrt (/ 1 x)) y) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* (sqrt (/ 1 x)) y) (/ 1 x))))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (- 1 x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (* (sqrt x) y)>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (- 1 x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (* (sqrt x) y)>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (/ 1 (- 1 (* (sqrt x) y)))>
#<alt (+ (* x (- (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (/ (pow y 2) (- 1 (* (sqrt x) y))))) (/ 1 (- 1 (* (sqrt x) y))))>
#<alt (+ (* x (- (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (+ (* x (- (/ 1 (- 1 (* (sqrt x) y))) (* -1 (/ (- (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (/ (pow y 2) (- 1 (* (sqrt x) y)))) (- 1 (* (sqrt x) y)))))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ (pow y 2) (- 1 (* (sqrt x) y))))) (/ 1 (- 1 (* (sqrt x) y))))>
#<alt (+ (* x (- (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (+ (* x (- (+ (/ 1 (- 1 (* (sqrt x) y))) (/ (* x (- (/ 1 (- 1 (* (sqrt x) y))) (* -1 (/ (- (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (/ (pow y 2) (- 1 (* (sqrt x) y)))) (- 1 (* (sqrt x) y)))))) (- 1 (* (sqrt x) y)))) (* -1 (/ (- (+ (* 2 (/ 1 (- 1 (* (sqrt x) y)))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2))) (/ (pow y 2) (- 1 (* (sqrt x) y)))) (- 1 (* (sqrt x) y)))))) (/ 1 (pow (- 1 (* (sqrt x) y)) 2)))) (/ (pow y 2) (- 1 (* (sqrt x) y))))) (/ 1 (- 1 (* (sqrt x) y))))>
#<alt (* -1 (/ x (+ 1 (* (sqrt (/ 1 x)) y))))>
#<alt (* x (- (* -1 (/ (- 2 (pow y 2)) (* x (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))))>
#<alt (* x (- (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- 2 (pow y 2)) (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (pow x 2))) (* -1 (/ (- 2 (pow y 2)) (* x (+ 1 (* (sqrt (/ 1 x)) y)))))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))))>
#<alt (* x (- (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- 2 (pow y 2)) (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (pow x 3))) (* -1 (/ (- 2 (pow y 2)) (* x (+ 1 (* (sqrt (/ 1 x)) y)))))) (+ (* -1 (/ (- (* -1 (/ (- 2 (pow y 2)) (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y))))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (+ (/ 1 (* (pow x 2) (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))))))))>
#<alt (* -1 (/ x (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (+ 2 (* -1 (pow y 2))) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (+ 2 (* -1 (pow y 2))) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (* -1 (/ (- (+ (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (* -1 (/ (+ 2 (* -1 (pow y 2))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ (+ 2 (* -1 (pow y 2))) (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (+ 2 (* -1 (pow y 2))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))) (+ (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 4)))) x)) (+ (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3)))) (* -1 (/ (+ 2 (* -1 (pow y 2))) (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x))) (/ 1 (pow (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (- 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))>
#<alt (/ (pow (+ 1 x) 2) (- 1 x))>
#<alt (+ (* (sqrt x) (/ (* y (pow (+ 1 x) 2)) (pow (- 1 x) 2))) (/ (pow (+ 1 x) 2) (- 1 x)))>
#<alt (+ (* y (- (* y (- (* -1 (/ x (- 1 x))) (* -1 (/ (* x (pow (+ 1 x) 2)) (pow (- 1 x) 3))))) (* -1 (* (sqrt x) (/ (pow (+ 1 x) 2) (pow (- 1 x) 2)))))) (/ (pow (+ 1 x) 2) (- 1 x)))>
#<alt (+ (* y (- (* y (- (+ (* -1 (/ x (- 1 x))) (* (sqrt x) (/ (* y (- (* -1 (/ x (- 1 x))) (* -1 (/ (* x (pow (+ 1 x) 2)) (pow (- 1 x) 3))))) (- 1 x)))) (* -1 (/ (* x (pow (+ 1 x) 2)) (pow (- 1 x) 3))))) (* -1 (* (sqrt x) (/ (pow (+ 1 x) 2) (pow (- 1 x) 2)))))) (/ (pow (+ 1 x) 2) (- 1 x)))>
#<alt (* (sqrt x) y)>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (* -1 (* (sqrt (/ 1 x)) (/ (pow (+ 1 x) 2) (pow y 2))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) (pow y 2)))) (* -1 (/ (- 1 x) y)))))>
#<alt (* y (- (+ (sqrt x) (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (+ 1 x) 2) (pow y 2)))) (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- (* -1 (* (sqrt (/ 1 x)) (pow (+ 1 x) 2))) (* -1 (* (sqrt (/ 1 x)) (pow (- 1 x) 2))))) (pow y 3))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (- 1 x) 2) (pow y 2)))) (* -1 (/ (- 1 x) y)))))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (* -1 (/ (- (* (sqrt (/ 1 x)) (pow (+ 1 x) 2)) (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) y)) (* -1 (- 1 x))) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- (* -1 (/ (- (+ (* (sqrt (/ 1 x)) (/ (* (- 1 x) (- (* (sqrt (/ 1 x)) (pow (+ 1 x) 2)) (* (sqrt (/ 1 x)) (pow (- 1 x) 2)))) y)) (* (sqrt (/ 1 x)) (pow (+ 1 x) 2))) (* (sqrt (/ 1 x)) (pow (- 1 x) 2))) y)) (* -1 (- 1 x))) y)))))>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (- 1 x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (* (sqrt x) y)>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* (sqrt x) y)>
#<alt (+ (* -1 x) (* (sqrt x) y))>
#<alt (+ (* -1 x) (* (sqrt x) y))>
#<alt (+ (* -1 x) (* (sqrt x) y))>
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))>
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))>
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))>
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))>
#<alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))>
#<alt (* -1 x)>
#<alt (- (* (sqrt x) y) x)>
#<alt (- (* (sqrt x) y) x)>
#<alt (- (* (sqrt x) y) x)>
#<alt (* (sqrt x) y)>
#<alt (* y (+ (sqrt x) (* -1 (/ x y))))>
#<alt (* y (+ (sqrt x) (* -1 (/ x y))))>
#<alt (* y (+ (sqrt x) (* -1 (/ x y))))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))>

Calls

66 calls:

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

simplify364.0ms (4.8%)

Memory

-22.3MiB live, 534.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 430×	`lower-fma.f64`
7 430×	`lower-fma.f32`
4 228×	`lower-*.f64`
4 228×	`lower-*.f32`
3 188×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	412	3803
1	1298	3558
2	4344	3354
0	8670	3141

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

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

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

rewrite485.0ms (6.4%)

Memory

40.7MiB live, 786.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 110×	`lower-fma.f32`
7 106×	`lower-fma.f64`
4 310×	`lower-/.f32`
4 306×	`lower-/.f64`
4 238×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	123
0	38	117
1	190	117
2	1589	101
0	9397	100

Stop Event

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

Counts

13 → 619

Calls

Call 1

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

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

eval183.0ms (2.4%)

Memory: -31.8MiB live, 293.9MiB allocated
Compiler: Compiled 26 999 to 1 800 computations (93.3% saved)

prune98.0ms (1.3%)

Memory

27.0MiB live, 260.1MiB allocated

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	950	3	953
Fresh	1	1	2
Picked	1	4	5
Done	0	2	2
Total	952	10	962

Accuracy

100.0%

Counts

962 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	35.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (sqrt x)) (+ 1 x)) (*.f64 (sqrt.f64 x) y))))
✓	35.7%	#s(approx (/ (- (* (+ 1 x) (+ 1 x)) (* x (* y y))) (- 1 (+ (* y (sqrt x)) x))) (*.f64 (sqrt.f64 x) y))
▶	33.4%	#s(approx (/ 1 (/ 1 (+ (* y (sqrt x)) (+ 1 x)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) x))
▶	35.0%	#s(approx (/ 1 (/ 1 (+ (* y (sqrt x)) (+ 1 x)))) (+.f64 #s(literal 1 binary64) x))
▶	64.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)))
✓	65.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y (neg.f64 x)))
✓	68.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
✓	65.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
✓	32.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓	34.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

Compiler

Compiled 80 to 48 computations (40% saved)

simplify108.0ms (1.4%)

Memory

-1.4MiB live, 76.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

1 136×	`lower-fma.f32`
1 132×	`lower-fma.f64`
616×	`lower-*.f32`
612×	`lower-*.f64`
312×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	151
0	39	139
1	65	139
2	118	139
3	175	139
4	283	139
5	458	139
6	798	139
7	1512	139
8	1741	139
9	2014	139
10	2066	139
11	2082	139
12	2085	139
0	2085	133

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

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

localize75.0ms (1%)

Memory

-1.7MiB live, 113.9MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (sqrt x)) (+ 1 x)) (*.f64 (sqrt.f64 x) y))))
✓	accuracy	99.7%	(*.f64 (sqrt.f64 x) y)
✓	accuracy	98.8%	(/.f64 #s(literal 1 binary64) #s(approx (+ (* y (sqrt x)) (+ 1 x)) (*.f64 (sqrt.f64 x) y)))
✓	accuracy	35.7%	#s(approx (+ (* y (sqrt x)) (+ 1 x)) (*.f64 (sqrt.f64 x) y))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	90.3%	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) x)
✓	accuracy	66.8%	#s(approx (/ 1 (/ 1 (+ (* y (sqrt x)) (+ 1 x)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) x))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	66.3%	#s(approx (/ 1 (/ 1 (+ (* y (sqrt x)) (+ 1 x)))) (+.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.7%	(/.f64 y (sqrt.f64 x))
✓	accuracy	96.5%	(fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))
✓	accuracy	68.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)))

Samples

47.0ms

256×

valid

Compiler

Compiled 118 to 22 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 7.0ms (29.6% of total)

ival-div: 6.0ms (25.3% of total)

ival-add: 5.0ms (21.1% of total)

ival-sqrt: 3.0ms (12.7% of total)

ival-sub: 2.0ms (8.4% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

17.6MiB live, 17.6MiB allocated

Counts

15 → 312

Calls

Call 1

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

Outputs
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (+ 1 (+ (* -1 x) (* (sqrt x) y)))>
#<alt (* x (- (* (sqrt (/ 1 x)) y) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))>
#<alt (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))>
#<alt (- 1 x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (- (+ 1 (* (sqrt x) y)) x)>
#<alt (* (sqrt x) y)>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))>
#<alt 1>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (* (sqrt x) y)>
#<alt (* y (+ (sqrt x) (/ 1 y)))>
#<alt (* y (+ (sqrt x) (/ 1 y)))>
#<alt (* y (+ (sqrt x) (/ 1 y)))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (* (sqrt x) y)>
#<alt (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))>
#<alt (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))>
#<alt (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x))))>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* (sqrt x) y)))>
#<alt (+ 1 (+ x (* (sqrt x) y)))>
#<alt (+ 1 (+ x (* (sqrt x) y)))>
#<alt (* (sqrt x) y)>
#<alt (* y (+ (sqrt x) (+ (/ 1 y) (/ x y))))>
#<alt (* y (+ (sqrt x) (+ (/ 1 y) (/ x y))))>
#<alt (* y (+ (sqrt x) (+ (/ 1 y) (/ x y))))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 x) y)))))>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (+ x (* (sqrt x) y)))>
#<alt (+ 1 (+ x (* (sqrt x) y)))>
#<alt (+ 1 (+ x (* (sqrt x) y)))>
#<alt (* x (+ 1 (* (sqrt (/ 1 x)) y)))>
#<alt (* x (+ 1 (+ (* (sqrt (/ 1 x)) y) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* (sqrt (/ 1 x)) y) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* (sqrt (/ 1 x)) y) (/ 1 x))))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* (sqrt x) y)))>
#<alt (+ 1 (+ x (* (sqrt x) y)))>
#<alt (+ 1 (+ x (* (sqrt x) y)))>
#<alt (* (sqrt x) y)>
#<alt (* y (+ (sqrt x) (+ (/ 1 y) (/ x y))))>
#<alt (* y (+ (sqrt x) (+ (/ 1 y) (/ x y))))>
#<alt (* y (+ (sqrt x) (+ (/ 1 y) (/ x y))))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 x) y)))))>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (+ x (* (sqrt x) y)))>
#<alt (+ 1 (+ x (* (sqrt x) y)))>
#<alt (+ 1 (+ x (* (sqrt x) y)))>
#<alt (* x (+ 1 (* (sqrt (/ 1 x)) y)))>
#<alt (* x (+ 1 (+ (* (sqrt (/ 1 x)) y) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* (sqrt (/ 1 x)) y) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* (sqrt (/ 1 x)) y) (/ 1 x))))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* (sqrt x) y)>
#<alt (+ x (* (sqrt x) y))>
#<alt (+ x (* (sqrt x) y))>
#<alt (+ x (* (sqrt x) y))>
#<alt (* x (+ 1 (* (sqrt (/ 1 x)) y)))>
#<alt (* x (+ 1 (* (sqrt (/ 1 x)) y)))>
#<alt (* x (+ 1 (* (sqrt (/ 1 x)) y)))>
#<alt (* x (+ 1 (* (sqrt (/ 1 x)) y)))>
#<alt (* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 1)))>
#<alt x>
#<alt (+ x (* (sqrt x) y))>
#<alt (+ x (* (sqrt x) y))>
#<alt (+ x (* (sqrt x) y))>
#<alt (* (sqrt x) y)>
#<alt (* y (+ (sqrt x) (/ x y)))>
#<alt (* y (+ (sqrt x) (/ x y)))>
#<alt (* y (+ (sqrt x) (/ x y)))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ x y)))))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* (sqrt x) y)))>
#<alt (+ 1 (+ x (* (sqrt x) y)))>
#<alt (+ 1 (+ x (* (sqrt x) y)))>
#<alt (* (sqrt x) y)>
#<alt (* y (+ (sqrt x) (+ (/ 1 y) (/ x y))))>
#<alt (* y (+ (sqrt x) (+ (/ 1 y) (/ x y))))>
#<alt (* y (+ (sqrt x) (+ (/ 1 y) (/ x y))))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 x) y)))))>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (+ x (* (sqrt x) y)))>
#<alt (+ 1 (+ x (* (sqrt x) y)))>
#<alt (+ 1 (+ x (* (sqrt x) y)))>
#<alt (* x (+ 1 (* (sqrt (/ 1 x)) y)))>
#<alt (* x (+ 1 (+ (* (sqrt (/ 1 x)) y) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* (sqrt (/ 1 x)) y) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* (sqrt (/ 1 x)) y) (/ 1 x))))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (/ 1 (+ 1 x))>
#<alt (+ (* -1 (* (sqrt x) (/ y (pow (+ 1 x) 2)))) (/ 1 (+ 1 x)))>
#<alt (+ (* y (- (/ (* x y) (pow (+ 1 x) 3)) (* (sqrt x) (/ 1 (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))>
#<alt (+ (* y (- (* y (- (* -1 (* (sqrt (pow x 3)) (/ y (pow (+ 1 x) 4)))) (* -1 (/ x (pow (+ 1 x) 3))))) (* (sqrt x) (/ 1 (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))>
#<alt (* (sqrt (/ 1 x)) (/ 1 y))>
#<alt (/ (+ (sqrt (/ 1 x)) (* -1 (/ (+ 1 (/ 1 x)) y))) y)>
#<alt (/ (- (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (+ 1 (/ 1 x))) (pow y 2)))) (+ (/ 1 y) (/ 1 (* x y)))) y)>
#<alt (/ (- (+ (sqrt (/ 1 x)) (* -1 (/ (* (pow (+ 1 x) 2) (+ 1 (/ 1 x))) (* x (pow y 3))))) (+ (* -1 (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (+ 1 (/ 1 x))) (pow y 2)))) (+ (/ 1 y) (/ 1 (* x y))))) y)>
#<alt (* (sqrt (/ 1 x)) (/ 1 y))>
#<alt (* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (+ (/ 1 y) (/ 1 (* x y)))) y))>
#<alt (* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (* (sqrt (/ 1 x)) (/ (* (+ 1 x) (+ 1 (/ 1 x))) y)) (+ 1 (/ 1 x))) y))) y))>
#<alt (* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 1 x) 2) (+ 1 (/ 1 x))) (* x y)) (* (sqrt (/ 1 x)) (* (+ 1 x) (+ 1 (/ 1 x))))) y)) (+ 1 (/ 1 x))) y))) y))>
#<alt (/ 1 (+ 1 (* (sqrt x) y)))>
#<alt (+ (* -1 (/ x (pow (+ 1 (* (sqrt x) y)) 2))) (/ 1 (+ 1 (* (sqrt x) y))))>
#<alt (+ (* x (- (/ x (pow (+ 1 (* (sqrt x) y)) 3)) (/ 1 (pow (+ 1 (* (sqrt x) y)) 2)))) (/ 1 (+ 1 (* (sqrt x) y))))>
#<alt (+ (* x (- (* x (+ (* -1 (/ x (pow (+ 1 (* (sqrt x) y)) 4))) (/ 1 (pow (+ 1 (* (sqrt x) y)) 3)))) (/ 1 (pow (+ 1 (* (sqrt x) y)) 2)))) (/ 1 (+ 1 (* (sqrt x) y))))>
#<alt (/ 1 (* x (+ 1 (* (sqrt (/ 1 x)) y))))>
#<alt (/ (- (/ 1 (+ 1 (* (sqrt (/ 1 x)) y))) (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) x)>
#<alt (/ (- (+ (/ 1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2)))) x)>
#<alt (/ (- (+ (/ 1 (* (pow x 2) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 3))) (/ 1 (+ 1 (* (sqrt (/ 1 x)) y)))) (+ (/ 1 (* x (pow (+ 1 (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (* (pow x 3) (pow (+ 1 (* (sqrt (/ 1 x)) y)) 4))))) x)>
#<alt (/ -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (/ (+ (/ 1 (* x (pow (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) 2))) (/ 1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))) x))>
#<alt (* -1 (/ (+ (/ 1 (* x (pow (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) 2))) (+ (/ 1 (* (pow x 2) (pow (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) 3))) (/ 1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) 4))) (/ 1 (pow (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) 3))) x)) (/ 1 (pow (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1) 2))) x)) (/ 1 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))) x))>
#<alt (+ 1 x)>
#<alt (+ 1 (+ x (* (sqrt x) y)))>
#<alt (+ 1 (+ x (* (sqrt x) y)))>
#<alt (+ 1 (+ x (* (sqrt x) y)))>
#<alt (* (sqrt x) y)>
#<alt (* y (+ (sqrt x) (+ (/ 1 y) (/ x y))))>
#<alt (* y (+ (sqrt x) (+ (/ 1 y) (/ x y))))>
#<alt (* y (+ (sqrt x) (+ (/ 1 y) (/ x y))))>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 x) y)))))>
#<alt (+ 1 (* (sqrt x) y))>
#<alt (+ 1 (+ x (* (sqrt x) y)))>
#<alt (+ 1 (+ x (* (sqrt x) y)))>
#<alt (+ 1 (+ x (* (sqrt x) y)))>
#<alt (* x (+ 1 (* (sqrt (/ 1 x)) y)))>
#<alt (* x (+ 1 (+ (* (sqrt (/ 1 x)) y) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* (sqrt (/ 1 x)) y) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* (sqrt (/ 1 x)) y) (/ 1 x))))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>

Calls

78 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(+ (* (/ y (sqrt x)) x) 1)
0.0ms	x	@	-inf	(/ y (sqrt x))
0.0ms	y	@	0	(/ y (sqrt x))
0.0ms	x	@	inf	(* x y)
0.0ms	x	@	0	(* x y)

simplify371.0ms (4.9%)

Memory

-17.3MiB live, 535.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 144×	`lower-fma.f64`
9 144×	`lower-fma.f32`
3 782×	`lower-*.f64`
3 782×	`lower-*.f32`
3 428×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	234	2674
1	701	2515
2	2199	2450
3	7183	2450
0	8906	2247

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 309

Calls

Call 1

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

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

rewrite441.0ms (5.8%)

Memory

34.0MiB live, 689.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 846×	`lower-fma.f32`
9 842×	`lower-fma.f64`
3 706×	`lower-/.f32`
3 698×	`lower-/.f64`
3 524×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	138
0	39	126
1	166	123
2	1166	117
0	8896	107

Stop Event

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

Counts

15 → 378

Calls

Call 1

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

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

eval103.0ms (1.4%)

Memory: 29.4MiB live, 180.8MiB allocated
Compiler: Compiled 9 438 to 1 079 computations (88.6% saved)

prune93.0ms (1.2%)

Memory

-32.8MiB live, 158.0MiB allocated

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	722	0	722
Fresh	0	0	0
Picked	0	4	4
Done	0	6	6
Total	722	10	732

Accuracy

100.0%

Counts

732 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	35.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (sqrt x)) (+ 1 x)) (*.f64 (sqrt.f64 x) y))))
✓	35.7%	#s(approx (/ (- (* (+ 1 x) (+ 1 x)) (* x (* y y))) (- 1 (+ (* y (sqrt x)) x))) (*.f64 (sqrt.f64 x) y))
✓	33.4%	#s(approx (/ 1 (/ 1 (+ (* y (sqrt x)) (+ 1 x)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) x))
✓	35.0%	#s(approx (/ 1 (/ 1 (+ (* y (sqrt x)) (+ 1 x)))) (+.f64 #s(literal 1 binary64) x))
✓	64.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)))
✓	65.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y (neg.f64 x)))
✓	68.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
✓	65.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
✓	32.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓	34.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

Compiler

Compiled 234 to 94 computations (59.8% saved)

regimes19.0ms (0.2%)

Memory

5.6MiB live, 44.2MiB allocated

Counts

19 → 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 (/ 1 (+ (* y (sqrt x)) (+ 1 x)))) (+.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
#s(approx (/ (- (* (+ 1 x) (+ 1 x)) (* x (* y y))) (- 1 (+ (* y (sqrt x)) x))) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y (neg.f64 x)))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) (neg.f64 y) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y x) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
#s(approx (/ 1 (/ 1 (+ (* y (sqrt x)) (+ 1 x)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* y (sqrt x)) (+ 1 x)) (*.f64 (sqrt.f64 x) y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (.f64 x (*.f64 y y))) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))

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

Calls

3 calls:

7.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
6.0ms	y
6.0ms	x

Results

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes14.0ms (0.2%)

Memory

-12.8MiB live, 25.0MiB allocated

Counts

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

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

Calls

3 calls:

6.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
4.0ms	y
4.0ms	x

Results

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes12.0ms (0.2%)

Memory

-12.9MiB live, 24.5MiB allocated

Counts

8 → 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 (/ 1 (+ (* y (sqrt x)) (+ 1 x)))) (+.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
#s(approx (/ (- (* (+ 1 x) (+ 1 x)) (* x (* y y))) (- 1 (+ (* y (sqrt x)) x))) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y (neg.f64 x)))

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

Calls

3 calls:

5.0ms	x
3.0ms	y
3.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

Accuracy	Segments	Branch
98.8%	2	`x`
96.1%	3	`y`
98.6%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes9.0ms (0.1%)

Memory

23.0MiB live, 23.0MiB allocated

Counts

7 → 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 (/ 1 (+ (* y (sqrt x)) (+ 1 x)))) (+.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
#s(approx (/ (- (* (+ 1 x) (+ 1 x)) (* x (* y y))) (- 1 (+ (* y (sqrt x)) x))) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
94.9%	3	`y`
89.4%	3	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
80.3%	2	`x`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes4.0ms (0%)

Memory

-29.6MiB live, 9.8MiB 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 (/ 1 (+ (* y (sqrt x)) (+ 1 x)))) (+.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
#s(approx (/ (- (* (+ 1 x) (+ 1 x)) (* x (* y y))) (- 1 (+ (* y (sqrt x)) x))) (*.f64 (sqrt.f64 x) y))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
93.9%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

18.6MiB live, 18.6MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
65.9%	1	`x`
65.9%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
65.9%	1	`y`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes5.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
2.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
65.4%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
64.8%	2	`x`
37.6%	2	`y`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes5.0ms (0.1%)

Memory

-25.4MiB live, 14.0MiB 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:

2.0ms	x
1.0ms	y
1.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

Accuracy	Segments	Branch
34.8%	1	`y`
34.8%	1	`x`
34.8%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch7.0ms (0.1%)

Memory

18.9MiB live, 18.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	0.8902763233576341	3.146615459133115

Samples

4.0ms

80×

valid

Compiler

Compiled 108 to 72 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sqrt: 1.0ms (53.5% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch27.0ms (0.4%)

Memory

10.1MiB live, 50.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.2709937730528456e+70	7.858462618743624e+72
14.0ms	-4.125566873136139e+98	-8.507294298452587e+90

Samples

12.0ms

272×

valid

Compiler

Compiled 285 to 199 computations (30.2% saved)

Precisions

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

ival-mult: 2.0ms (30.8% of total)

ival-sqrt: 2.0ms (30.8% of total)

ival-sub: 1.0ms (15.4% of total)

ival-add: 1.0ms (15.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch21.0ms (0.3%)

Memory

-30.5MiB live, 46.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.12515046174024e+82	7.266242242365298e+90
6.0ms	-4.125566873136139e+98	-8.507294298452587e+90

Samples

10.0ms

208×

valid

Compiler

Compiled 283 to 192 computations (32.2% saved)

Precisions

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

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

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-178.99231691972102	0.10972367664236593

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify8.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
12×	`sub-neg_binary64`
8×	`*-commutative_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	208
1	59	208
2	68	208
3	72	208
4	73	208

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) (neg.f64 y) x))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y (neg.f64 x))))
(if (<=.f64 y #s(literal -9499999999999999398903540432365557740011667761024229745909485174338174377198110484702691328 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 14999999999999998789228234424105239354855075419234053904664469056782336 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -15000000000000000288809175752674680400695071722129377635407904759914989570040266639391326208 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (sqrt.f64 x) y)) (if (<=.f64 y #s(literal 52000000000000001423363801286987521204178798147556506517794222261186520236662032712073216 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))))
#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 -100 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

Outputs
(-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) (neg.f64 y) x))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y (neg.f64 x))))
(if (<=.f64 y #s(literal -9499999999999999398903540432365557740011667761024229745909485174338174377198110484702691328 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 14999999999999998789228234424105239354855075419234053904664469056782336 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -15000000000000000288809175752674680400695071722129377635407904759914989570040266639391326208 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (sqrt.f64 x) y)) (if (<=.f64 y #s(literal 52000000000000001423363801286987521204178798147556506517794222261186520236662032712073216 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))))
#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 -100 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 #s(literal 1 binary64) x) (.f64 (sqrt.f64 x) y)) #s(literal -100 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)))

soundness961.0ms (12.7%)

Memory

3.7MiB live, 714.2MiB allocated

Rules

11 674×	`lower-fma.f64`
11 674×	`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	29	144
0	50	138
1	228	130
2	1857	126
0	8826	126
0	7	17
0	11	17
1	46	17
2	357	17
3	5315	17
0	8974	16
0	347	4119
1	1120	3711
2	3547	3559
0	8662	3337
0	52	369
1	141	369
2	438	357
3	1298	357
4	4657	357
5	7379	357
0	8084	330

Stop Event

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

Compiler

Compiled 214 to 107 computations (50% saved)

preprocess70.0ms (0.9%)

Memory: 9.3MiB live, 85.9MiB allocated
Compiler: Compiled 230 to 78 computations (66.1% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB 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

analyze8.0ms (0.1%)

sample729.0ms (9.6%)

preprocess49.0ms (0.6%)

explain79.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify19.0ms (0.3%)

localize23.0ms (0.3%)

series5.0ms (0.1%)

simplify206.0ms (2.7%)

rewrite393.0ms (5.2%)

eval40.0ms (0.5%)

prune109.0ms (1.4%)

simplify441.0ms (5.8%)

localize114.0ms (1.5%)

series21.0ms (0.3%)

simplify444.0ms (5.8%)

rewrite602.0ms (7.9%)

eval237.0ms (3.1%)

prune193.0ms (2.5%)

simplify313.0ms (4.1%)

localize68.0ms (0.9%)

series8.0ms (0.1%)

simplify364.0ms (4.8%)

rewrite485.0ms (6.4%)

eval183.0ms (2.4%)

prune98.0ms (1.3%)

simplify108.0ms (1.4%)

localize75.0ms (1%)

series10.0ms (0.1%)

simplify371.0ms (4.9%)

rewrite441.0ms (5.8%)

eval103.0ms (1.4%)

prune93.0ms (1.2%)

regimes19.0ms (0.2%)

regimes14.0ms (0.2%)

regimes12.0ms (0.2%)

regimes9.0ms (0.1%)

regimes4.0ms (0%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch7.0ms (0.1%)

bsearch27.0ms (0.4%)

bsearch21.0ms (0.3%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness961.0ms (12.7%)

preprocess70.0ms (0.9%)

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