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

analyze9.0ms (0.1%)

Memory

19.5MiB live, 19.5MiB 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)

sample832.0ms (12.5%)

Memory

22.8MiB live, 1 371.0MiB allocated

Samples

531.0ms	8 254×	0	valid
13.0ms	246×	0	invalid
0.0ms	2×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 261.0ms

ival-sqrt: 72.0ms (27.6% of total)

ival-add: 68.0ms (26% of total)

ival-mult: 54.0ms (20.7% of total)

ival-sub: 53.0ms (20.3% of total)

ival-true: 7.0ms (2.7% of total)

exact: 5.0ms (1.9% of total)

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

adjust: 0.0ms (0% of total)

Bogosity

preprocess54.0ms (0.8%)

Memory

-9.9MiB live, 103.1MiB 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))

explain78.0ms (1.2%)

Memory

16.9MiB live, 180.5MiB 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

28.0ms

512×

valid

Compiler

Compiled 64 to 32 computations (50% saved)

Precisions

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

ival-sqrt: 4.0ms (30.8% of total)

ival-sub: 3.0ms (23.1% of total)

ival-mult: 3.0ms (23.1% of total)

ival-add: 2.0ms (15.4% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 7 computations (30% saved)

simplify20.0ms (0.3%)

Memory

-0.0MiB live, 40.3MiB 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

-5.1MiB live, 34.4MiB 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	99.6%	(*.f64 y (sqrt.f64 x))

Samples

14.0ms

256×

valid

Compiler

Compiled 22 to 9 computations (59.1% saved)

Precisions

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

ival-mult: 2.0ms (31.1% of total)

ival-sqrt: 2.0ms (31.1% of total)

ival-sub: 1.0ms (15.5% of total)

ival-add: 1.0ms (15.5% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

-31.6MiB live, 7.5MiB 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)))

simplify224.0ms (3.4%)

Memory

28.8MiB live, 318.1MiB 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)

rewrite311.0ms (4.7%)

Memory

13.3MiB live, 478.2MiB 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)))

eval37.0ms (0.6%)

Memory: 0.1MiB live, 75.7MiB allocated
Compiler: Compiled 7 394 to 715 computations (90.3% saved)

prune52.0ms (0.8%)

Memory

-35.6MiB live, 80.5MiB 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
▶	99.9%	(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) 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))))
	98.0%	(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 x)))))
	35.4%	(.f64 (/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) 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)))))) (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))))
▶	45.2%	(.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) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
▶	64.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
▶	65.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
	36.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
	65.3%	#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 304 to 160 computations (47.4% saved)

simplify356.0ms (5.3%)

Memory

3.8MiB live, 429.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	128	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
✓	cost-diff	12288	(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 y (sqrt.f64 x) (neg.f64 x))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) (fma.f64 (sqrt.f64 x) (neg.f64 y) x)))
✓	cost-diff	320	(.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) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
✓	cost-diff	448	(*.f64 (fma.f64 y (sqrt.f64 x) (neg.f64 x)) (fma.f64 (sqrt.f64 x) (neg.f64 y) x))
✓	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	(sqrt.f64 x)
✓	cost-diff	0	(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
✓	cost-diff	0	(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)

Rules

14 756×	`lower-fma.f32`
14 746×	`lower-fma.f64`
3 802×	`lower-*.f32`
3 796×	`lower-*.f64`
1 508×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	187
0	51	178
1	93	174
2	205	173
3	664	173
4	2397	173
5	4940	173
0	8427	171

Stop Event

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

Calls

Call 1

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

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

localize145.0ms (2.2%)

Memory

1.0MiB live, 201.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
✓	accuracy	99.6%	(*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓	accuracy	99.2%	(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓	accuracy	99.8%	(fma.f64 y (sqrt.f64 x) (neg.f64 x))
✓	accuracy	99.8%	(fma.f64 y (sqrt.f64 x) x)
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))
✓	accuracy	64.5%	(.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) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x))))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.8%	(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
✓	accuracy	64.2%	#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	65.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
✓	accuracy	99.8%	(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))

Samples

77.0ms	255×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 194 to 30 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-sqrt: 20.0ms (36.8% of total)

ival-add: 9.0ms (16.5% of total)

ival-mult: 9.0ms (16.5% of total)

ival-pow: 6.0ms (11% of total)

ival-sub: 3.0ms (5.5% of total)

ival-pow2: 3.0ms (5.5% of total)

ival-div: 2.0ms (3.7% of total)

ival-neg: 2.0ms (3.7% 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)

series25.0ms (0.4%)

Memory

-16.8MiB live, 57.1MiB allocated

Counts

16 → 348

Calls

Call 1

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

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

87 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(* (+ 1 (* (+ (* y (sqrt x)) (neg x)) (+ (* (sqrt x) (neg y)) x))) (/ 1 (- 1 (+ (* y (sqrt x)) x))))
2.0ms	x	@	0	(* (+ 1 (* (+ (* y (sqrt x)) (neg x)) (+ (* (sqrt x) (neg y)) x))) (/ 1 (- 1 (+ (* y (sqrt x)) x))))
2.0ms	x	@	inf	(* (+ 1 (* (+ (* y (sqrt x)) (neg x)) (+ (* (sqrt x) (neg y)) x))) (/ 1 (- 1 (+ (* y (sqrt x)) x))))
1.0ms	x	@	-inf	(* (+ 1 (* (+ (* y (sqrt x)) (neg x)) (+ (* (sqrt x) (neg y)) x))) (/ 1 (- 1 (+ (* y (sqrt x)) x))))
1.0ms	y	@	0	(* (+ 1 (* (+ (* y (sqrt x)) (neg x)) (+ (* (sqrt x) (neg y)) x))) (/ 1 (- 1 (+ (* y (sqrt x)) x))))

simplify399.0ms (6%)

Memory

11.7MiB live, 614.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 104×	`lower-fma.f64`
8 104×	`lower-fma.f32`
4 910×	`lower-*.f64`
4 910×	`lower-*.f32`
2 614×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	492	5281
1	1577	4802
2	5397	4665
0	8438	4360

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 347

Calls

Call 1

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

rewrite377.0ms (5.7%)

Memory

19.0MiB live, 638.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 816×	`lower-fma.f32`
4 806×	`lower-fma.f64`
4 040×	`lower-*.f32`
4 034×	`lower-*.f64`
3 916×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	144
0	51	130
1	234	130
2	1786	115
0	8771	115

Stop Event

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

Counts

16 → 829

Calls

Call 1

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

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

eval187.0ms (2.8%)

Memory: 38.3MiB live, 456.8MiB allocated
Compiler: Compiled 44 904 to 3 122 computations (93% saved)

prune252.0ms (3.8%)

Memory

-19.9MiB live, 316.6MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	1 371	7	1 378
Fresh	4	0	4
Picked	2	3	5
Done	0	0	0
Total	1 377	10	1 387

Accuracy

100.0%

Counts

1 387 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
▶	69.2%	(-.f64 #s(approx (+ (* y (sqrt x)) 1) (*.f64 (sqrt.f64 x) y)) x)
	46.0%	(.f64 #s(approx (+ 1 ( (+ (* y (sqrt x)) (neg x)) (+ (* (sqrt x) (neg y)) x))) (fma.f64 y (fma.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x (.f64 x x))) (*.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) x))))
▶	36.0%	#s(approx (- (+ (* y (sqrt x)) 1) x) (*.f64 (sqrt.f64 x) y))
	65.3%	#s(approx (- (+ (* y (sqrt x)) 1) x) (*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
✓	64.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
✓	65.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶	35.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
▶	29.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
▶	61.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) #s(literal 1 binary64))))

Compiler

Compiled 183 to 107 computations (41.5% saved)

simplify52.0ms (0.8%)

Memory

-1.9MiB live, 70.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

672×	`lower-fma.f32`
670×	`lower-fma.f64`
384×	`lower-*.f32`
380×	`lower-*.f64`
200×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	160
0	37	160
1	58	160
2	91	160
3	129	160
4	204	160
5	340	160
6	560	160
7	843	160
8	942	160
9	972	160
10	1004	160
11	1022	160
12	1025	160
0	1025	152

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize72.0ms (1.1%)

Memory

-1.9MiB live, 154.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) #s(literal 1 binary64)))
✓	accuracy	99.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	94.8%	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) #s(literal 1 binary64))
✓	accuracy	64.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) #s(literal 1 binary64))))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.6%	(*.f64 (sqrt.f64 x) y)
✓	accuracy	36.1%	#s(approx (- (+ (* y (sqrt x)) 1) x) (*.f64 (sqrt.f64 x) y))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	65.4%	#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	65.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
✓	accuracy	46.6%	#s(approx (- 1 x) #s(literal 1 binary64))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(-.f64 #s(approx (+ (* y (sqrt x)) 1) (*.f64 (sqrt.f64 x) y)) x)
✓	accuracy	99.6%	(*.f64 (sqrt.f64 x) y)
✓	accuracy	48.0%	#s(approx (+ (* y (sqrt x)) 1) (*.f64 (sqrt.f64 x) y))

Samples

41.0ms

256×

valid

Compiler

Compiled 103 to 19 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 6.0ms (30% of total)

ival-add: 4.0ms (20% of total)

ival-sqrt: 4.0ms (20% of total)

ival-div: 2.0ms (10% of total)

ival-sub: 2.0ms (10% of total)

ival-neg: 1.0ms (5% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

14 → 276

Calls

Call 1

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

Outputs
#<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 (+ (* -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>
#<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 (* -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 (* (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 (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 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 (+ (* -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 (* (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 (* (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 (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>
#<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 (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))>

Calls

69 calls:

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

simplify277.0ms (4.2%)

Memory

-12.9MiB live, 367.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 576×	`lower-fma.f64`
8 576×	`lower-fma.f32`
3 194×	`lower-*.f64`
3 194×	`lower-*.f32`
1 544×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	1888
1	187	1766
2	568	1754
3	1582	1751
4	3820	1751
5	6143	1751
0	8343	1562

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

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

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

rewrite342.0ms (5.1%)

Memory

-2.7MiB live, 589.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 290×	`lower-fma.f32`
10 288×	`lower-fma.f64`
4 008×	`lower-*.f32`
4 004×	`lower-*.f64`
3 086×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	139
0	37	136
1	145	133
2	956	129
0	8760	118

Stop Event

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

Counts

14 → 228

Calls

Call 1

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

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

eval118.0ms (1.8%)

Memory: 16.1MiB live, 129.2MiB allocated
Compiler: Compiled 7 508 to 548 computations (92.7% saved)

prune74.0ms (1.1%)

Memory

6.8MiB live, 123.9MiB allocated

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	577	6	583
Fresh	1	1	2
Picked	0	5	5
Done	0	3	3
Total	578	15	593

Accuracy

100.0%

Counts

593 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
▶	64.1%	(-.f64 #s(approx (+ (* y (sqrt x)) 1) (/.f64 (*.f64 y x) (sqrt.f64 x))) x)
✓	69.2%	(-.f64 #s(approx (+ (* y (sqrt x)) 1) (*.f64 (sqrt.f64 x) y)) x)
▶	33.2%	#s(approx (- (+ (* y (sqrt x)) 1) x) (/.f64 (*.f64 y x) (sqrt.f64 x)))
▶	32.1%	#s(approx (- (+ (* y (sqrt x)) 1) x) (*.f64 (/.f64 y (sqrt.f64 x)) x))
	33.2%	#s(approx (- (+ (* y (sqrt x)) 1) x) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 y x)))
✓	36.0%	#s(approx (- (+ (* y (sqrt x)) 1) x) (*.f64 (sqrt.f64 x) y))
▶	65.3%	#s(approx (- (+ (* y (sqrt x)) 1) x) (*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
✓	64.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
✓	65.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
✓	35.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓	29.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
▶	60.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))))
✓	61.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) #s(literal 1 binary64))))
	45.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (/.f64 (fma.f64 y (*.f64 y x) #s(literal -1 binary64)) (fma.f64 y (sqrt.f64 x) #s(literal -1 binary64)))))

Compiler

Compiled 221 to 127 computations (42.5% saved)

simplify74.0ms (1.1%)

Memory

-3.0MiB live, 71.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

976×	`lower-fma.f32`
972×	`lower-fma.f64`
576×	`lower-*.f32`
570×	`lower-*.f64`
338×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	196
0	42	196
1	70	196
2	100	196
3	137	196
4	229	196
5	402	196
6	864	196
7	1578	196
8	1812	196
9	1886	196
10	1958	196
11	1972	196
12	1973	196
0	1973	188

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize140.0ms (2.1%)

Memory

11.2MiB live, 173.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(-.f64 #s(approx (+ (* y (sqrt x)) 1) (/.f64 (*.f64 y x) (sqrt.f64 x))) x)
✓	accuracy	89.3%	(/.f64 (*.f64 y x) (sqrt.f64 x))
✓	accuracy	48.0%	#s(approx (+ (* y (sqrt x)) 1) (/.f64 (*.f64 y x) (sqrt.f64 x)))
✓	accuracy	100.0%	#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64)))
✓	accuracy	99.6%	(/.f64 y (sqrt.f64 x))
✓	accuracy	95.8%	(fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))
✓	accuracy	64.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	89.3%	(/.f64 (*.f64 y x) (sqrt.f64 x))
✓	accuracy	36.1%	#s(approx (- (+ (* y (sqrt x)) 1) x) (/.f64 (*.f64 y x) (sqrt.f64 x)))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.6%	(/.f64 y (sqrt.f64 x))
✓	accuracy	90.0%	(*.f64 (/.f64 y (sqrt.f64 x)) x)
✓	accuracy	36.1%	#s(approx (- (+ (* y (sqrt x)) 1) x) (*.f64 (/.f64 y (sqrt.f64 x)) x))
✓	accuracy	99.8%	(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	95.8%	(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
✓	accuracy	69.3%	#s(approx (- (+ (* y (sqrt x)) 1) x) (*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))

Samples

41.0ms

256×

valid

Compiler

Compiled 140 to 24 computations (82.9% saved)

Precisions

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

ival-mult: 9.0ms (34.6% of total)

ival-add: 6.0ms (23.1% of total)

ival-div: 5.0ms (19.2% of total)

ival-sqrt: 4.0ms (15.4% of total)

ival-sub: 2.0ms (7.7% of total)

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.4%)

Memory

-31.0MiB live, 21.6MiB allocated

Counts

16 → 360

Calls

Call 1

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

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

Calls

90 calls:

Time	Variable		Point	Expression
14.0ms	y	@	inf	(* x (+ (* y (sqrt (/ 1 x))) -1))
3.0ms	x	@	-inf	(* (/ y (sqrt x)) x)
1.0ms	x	@	-inf	(* x (+ (* y (sqrt (/ 1 x))) -1))
1.0ms	y	@	0	(* x (+ (* y (sqrt (/ 1 x))) -1))
0.0ms	y	@	-inf	(* x (+ (* y (sqrt (/ 1 x))) -1))

simplify395.0ms (5.9%)

Memory

16.4MiB live, 366.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 158×	`lower-fma.f64`
8 158×	`lower-fma.f32`
3 928×	`lower-*.f64`
3 928×	`lower-*.f32`
1 916×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	2486
1	224	2357
2	651	2319
3	1620	2319
4	4168	2319
5	7778	2319
0	8091	2107

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

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

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

rewrite404.0ms (6.1%)

Memory

1.0MiB live, 412.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 728×	`lower-fma.f32`
5 724×	`lower-fma.f64`
4 246×	`lower-/.f32`
4 240×	`lower-/.f64`
4 208×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	161
0	42	157
1	184	156
2	1247	140
0	8723	127

Stop Event

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

Counts

16 → 322

Calls

Call 1

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

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

eval176.0ms (2.6%)

Memory: -10.0MiB live, 181.8MiB allocated
Compiler: Compiled 10 661 to 791 computations (92.6% saved)

prune123.0ms (1.8%)

Memory

-18.7MiB live, 142.6MiB allocated

Pruning

14 alts after pruning (2 fresh and 12 done)

	Pruned	Kept	Total
New	898	2	900
Fresh	2	0	2
Picked	1	4	5
Done	0	8	8
Total	901	14	915

Accuracy

100.0%

Counts

915 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
✓	64.1%	(-.f64 #s(approx (+ (* y (sqrt x)) 1) (/.f64 (*.f64 y x) (sqrt.f64 x))) x)
✓	69.2%	(-.f64 #s(approx (+ (* y (sqrt x)) 1) (*.f64 (sqrt.f64 x) y)) x)
✓	33.2%	#s(approx (- (+ (* y (sqrt x)) 1) x) (/.f64 (*.f64 y x) (sqrt.f64 x)))
	32.9%	#s(approx (- (+ (* y (sqrt x)) 1) x) (/.f64 x (/.f64 (sqrt.f64 x) y)))
✓	32.1%	#s(approx (- (+ (* y (sqrt x)) 1) x) (*.f64 (/.f64 y (sqrt.f64 x)) x))
✓	36.0%	#s(approx (- (+ (* y (sqrt x)) 1) x) (*.f64 (sqrt.f64 x) y))
	32.1%	#s(approx (- (+ (* y (sqrt x)) 1) x) (.f64 #s(approx (/ y (sqrt x)) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
✓	64.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
✓	65.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
✓	35.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓	29.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
✓	60.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))))
✓	61.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x y) #s(literal 1 binary64))))

Compiler

Compiled 406 to 148 computations (63.5% saved)

regimes66.0ms (1%)

Memory

5.5MiB live, 44.2MiB allocated

Counts

25 → 1

Calls

Call 1

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

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

Calls

3 calls:

50.0ms	x
7.0ms	y
7.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes9.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.9%	2	`x`
97.4%	3	`y`
97.8%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes8.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

6 → 3

Calls

Call 1

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

Results

Accuracy	Segments	Branch
97.4%	3	`y`
86.5%	3	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
82.6%	2	`x`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes3.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Counts

5 → 3

Calls

Call 1

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

2.0ms

Results

Accuracy	Segments	Branch
94.5%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes28.0ms (0.4%)

Memory

-30.7MiB live, 8.7MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

24.0ms	x
2.0ms	y
2.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes5.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
41.4%	4	`y`
64.1%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
63.5%	2	`x`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes4.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
29.9%	1	`y`
29.9%	1	`x`
29.9%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch10.0ms (0.2%)

Memory

8.8MiB live, 8.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.623988280863058	38.19448684913064

Samples

5.0ms

112×

valid

Compiler

Compiled 146 to 96 computations (34.2% saved)

Precisions

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

ival-sub: 1.0ms (35.1% of total)

ival-add: 1.0ms (35.1% of total)

ival-mult: 1.0ms (35.1% of total)

ival-sqrt: 1.0ms (35.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch31.0ms (0.5%)

Memory

-18.5MiB live, 21.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.177393749323404e+83	1.3799012380294594e+85
9.0ms	-2.3978878670249713e+48	-1.730601022289893e+46

Samples

10.0ms

224×

valid

Compiler

Compiled 237 to 166 computations (30% saved)

Precisions

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

ival-sqrt: 2.0ms (35.9% of total)

ival-sub: 1.0ms (17.9% of total)

ival-add: 1.0ms (17.9% of total)

ival-mult: 1.0ms (17.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch24.0ms (0.4%)

Memory

-16.8MiB live, 40.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	5.129386729259045e+99	8.050433714306128e+99
13.0ms	-4.3746561405251576e+86	-1.0606480810186641e+76

Samples

14.0ms

224×

valid

Compiler

Compiled 223 to 152 computations (31.8% saved)

Precisions

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

ival-sqrt: 5.0ms (51.9% of total)

ival-mult: 2.0ms (20.8% of total)

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

ival-add: 1.0ms (10.4% 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

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-37.19448684913064	0.376011719136942

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify8.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	198
1	55	198
2	60	198
3	61	198

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.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))) (-.f64 #s(approx (+ (* y (sqrt x)) 1) (*.f64 (sqrt.f64 x) y)) x))
(if (<=.f64 y #s(literal -1799999999999999916663240651923791846763275485184 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 119999999999999995608815587570638890532325718703282813524164366121125038018514649088 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 -6999999999999999757327549275195921845052507801201312792394826901669246791631826321408 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (sqrt.f64 x) y)) (if (<=.f64 y #s(literal 6599999999999999832985436412813389180393466696911238787318718720814040614378714136690290261936308224 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 -20 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

Outputs
(-.f64 (fma.f64 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))) (-.f64 #s(approx (+ (* y (sqrt x)) 1) (*.f64 (sqrt.f64 x) y)) 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))) (-.f64 #s(approx (+ (* y (sqrt x)) 1) (*.f64 y (sqrt.f64 x))) x))
(if (<=.f64 y #s(literal -1799999999999999916663240651923791846763275485184 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (if (<=.f64 y #s(literal 119999999999999995608815587570638890532325718703282813524164366121125038018514649088 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 -6999999999999999757327549275195921845052507801201312792394826901669246791631826321408 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (sqrt.f64 x) y)) (if (<=.f64 y #s(literal 6599999999999999832985436412813389180393466696911238787318718720814040614378714136690290261936308224 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))))
(if (<=.f64 y #s(literal -6999999999999999757327549275195921845052507801201312792394826901669246791631826321408 binary64)) #s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 y (sqrt.f64 x))) (if (<=.f64 y #s(literal 6599999999999999832985436412813389180393466696911238787318718720814040614378714136690290261936308224 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) (-.f64 #s(literal 1 binary64) x)) #s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (sqrt.f64 x)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))) #s(literal -20 binary64)) #s(approx (+ (- 1 x) ( y (sqrt x))) #s(approx (- 1 x) (neg.f64 x))) #s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64))))
(if (<=.f64 (+.f64 (.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) #s(literal -20 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)))

soundness729.0ms (10.9%)

Memory

0.7MiB live, 471.9MiB allocated

Rules

8 104×	`lower-fma.f64`
8 104×	`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	492	5281
1	1577	4802
2	5397	4665
0	8438	4360
0	7	17
0	11	17
1	46	17
2	357	17
3	5315	17
0	8974	16
0	52	369
1	141	369
2	438	357
3	1298	357
4	4657	357
5	7379	357
0	8084	330

Stop Event

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

Compiler

Compiled 199 to 98 computations (50.8% saved)

preprocess68.0ms (1%)

Memory: 9.6MiB live, 88.0MiB allocated
Compiler: Compiled 214 to 72 computations (66.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

analyze9.0ms (0.1%)

sample832.0ms (12.5%)

preprocess54.0ms (0.8%)

explain78.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify20.0ms (0.3%)

localize23.0ms (0.3%)

series9.0ms (0.1%)

simplify224.0ms (3.4%)

rewrite311.0ms (4.7%)

eval37.0ms (0.6%)

prune52.0ms (0.8%)

simplify356.0ms (5.3%)

localize145.0ms (2.2%)

series25.0ms (0.4%)

simplify399.0ms (6%)

rewrite377.0ms (5.7%)

eval187.0ms (2.8%)

prune252.0ms (3.8%)

simplify52.0ms (0.8%)

localize72.0ms (1.1%)

series5.0ms (0.1%)

simplify277.0ms (4.2%)

rewrite342.0ms (5.1%)

eval118.0ms (1.8%)

prune74.0ms (1.1%)

simplify74.0ms (1.1%)

localize140.0ms (2.1%)

series27.0ms (0.4%)

simplify395.0ms (5.9%)

rewrite404.0ms (6.1%)

eval176.0ms (2.6%)

prune123.0ms (1.8%)

regimes66.0ms (1%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes3.0ms (0%)

regimes28.0ms (0.4%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch10.0ms (0.2%)

bsearch31.0ms (0.5%)

bsearch24.0ms (0.4%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness729.0ms (10.9%)

preprocess68.0ms (1%)

end0.0ms (0%)

Profiling

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