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

analyze8.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 10 to 9 computations (10% saved)

sample640.0ms (7.3%)

Memory

26.3MiB live, 795.8MiB allocated

Samples

433.0ms	8 253×	0	valid
18.0ms	264×	0	invalid
0.0ms	2×	1	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 258.0ms

ival-mult: 96.0ms (37.2% of total)

ival-sqrt: 59.0ms (22.9% of total)

ival-sub: 52.0ms (20.1% of total)

ival-add: 38.0ms (14.7% of total)

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

exact: 5.0ms (1.9% of total)

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

adjust: 0.0ms (0% of total)

Bogosity

preprocess52.0ms (0.6%)

Memory

4.1MiB live, 42.6MiB allocated

Algorithm

2×	egg-herbie

Rules

336×	`accelerator-lowering-fma.f32`
336×	`accelerator-lowering-fma.f64`
252×	`sub-neg`
206×	`cancel-sign-sub-inv`
192×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	56
1	59	51
2	173	50
3	475	50
4	972	50
5	1355	50
6	1493	50
7	1515	50
0	7	8
1	15	8
2	34	8
3	61	8
4	125	8
5	243	8
6	372	8
7	420	8
8	443	8
0	443	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(+ (- 1 x) (* y (sqrt x)))

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

Call 2

Inputs
(+ (- 1 x) (* y (sqrt x)))
(+ (- 1 (neg x)) (* y (sqrt (neg x))))
(+ (- 1 x) (* (neg y) (sqrt x)))
(neg (+ (- 1 (neg x)) (* y (sqrt (neg x)))))
(neg (+ (- 1 x) (* (neg y) (sqrt x))))
(+ (- 1 y) (* x (sqrt y)))

Outputs
(+ (- 1 x) (* y (sqrt x)))
(+ (- 1 (neg x)) (* y (sqrt (neg x))))
(+ 1 (+ x (* y (sqrt (neg x)))))
(+ (- 1 x) (* (neg y) (sqrt x)))
(- (- 1 x) (* y (sqrt x)))
(neg (+ (- 1 (neg x)) (* y (sqrt (neg x)))))
(- -1 (+ x (* y (sqrt (neg x)))))
(neg (+ (- 1 x) (* (neg y) (sqrt x))))
(+ (* y (sqrt x)) (+ x -1))
(+ (- 1 y) (* x (sqrt y)))

explain91.0ms (1%)

Memory

-43.2MiB live, 102.7MiB 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 (31.2% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

simplify18.0ms (0.2%)

Memory

20.7MiB live, 20.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 y (sqrt.f64 x))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	192	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Rules

336×	`accelerator-lowering-fma.f32`
336×	`accelerator-lowering-fma.f64`
144×	`-lowering-.f32`
144×	`-lowering-.f64`
112×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	15	20
2	34	20
3	61	20
4	125	20
5	243	20
6	372	20
7	420	20
8	443	20
0	443	19

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (- 1 x) (* y (sqrt x)))
(- 1 x)
1
x
(* y (sqrt x))
y
(sqrt x)

Outputs
(+ (- 1 x) (* y (sqrt x)))
(-.f64 (fma.f64 y (sqrt.f64 x) #s(literal 1 binary64)) x)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(* y (sqrt x))
(fma.f64 y (sqrt.f64 x) #s(literal 0 binary64))
y
(sqrt x)
(sqrt.f64 x)

localize23.0ms (0.3%)

Memory

-2.1MiB live, 36.3MiB allocated

Localize:

Found 4 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 (sqrt.f64 x)))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.7%	(*.f64 y (sqrt.f64 x))

Samples

16.0ms

256×

valid

Compiler

Compiled 22 to 9 computations (59.1% saved)

Precisions

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

ival-mult: 2.0ms (32.2% of total)

ival-sqrt: 2.0ms (32.2% of total)

ival-sub: 1.0ms (16.1% of total)

ival-add: 1.0ms (16.1% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

4 → 72

Calls

Call 1

Inputs
#<alt (+ (- 1 x) (* y (sqrt x)))>
#<alt (- 1 x)>
#<alt (sqrt x)>
#<alt (* y (sqrt 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)>
#<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 (* (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))))>

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	x	@	-inf	(sqrt x)

rewrite565.0ms (6.4%)

Memory

-0.3MiB live, 461.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 324×	`accelerator-lowering-fma.f32`
6 324×	`accelerator-lowering-fma.f64`
4 236×	`-lowering-.f32`
4 236×	`-lowering-.f64`
2 084×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	42	17
2	353	17
3	5351	17
0	9013	16

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 252

Calls

Call 1

Inputs
(+ (- 1 x) (* y (sqrt x)))
(- 1 x)
(sqrt x)
(* y (sqrt x))

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

simplify385.0ms (4.4%)

Memory

0.7MiB live, 368.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 542×	`accelerator-lowering-fma.f32`
7 542×	`accelerator-lowering-fma.f64`
2 696×	`-lowering-.f32`
2 696×	`-lowering-.f64`
1 866×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	369
1	141	369
2	438	357
3	1300	357
4	4655	357
5	7381	357
0	8082	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)
(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)))
(* (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))))

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

eval41.0ms (0.5%)

Memory: -4.0MiB live, 73.4MiB allocated
Compiler: Compiled 7 419 to 720 computations (90.3% saved)

prune63.0ms (0.7%)

Memory

2.7MiB live, 78.4MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	316	8	324
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	317	8	325

Accuracy

100.0%

Counts

325 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.4%	(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))
▶	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
	67.1%	(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
	90.9%	(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
▶	51.4%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (.f64 x (*.f64 y y))) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))
▶	60.7%	(-.f64 #s(literal 1 binary64) x)
	99.7%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
▶	67.1%	(+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))

Compiler

Compiled 182 to 118 computations (35.2% saved)

simplify373.0ms (4.2%)

Memory

11.1MiB live, 489.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(pow.f64 x #s(literal 1/4 binary64))
✓	cost-diff	12672	(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))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (.f64 x (*.f64 y y))) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))
✓	cost-diff	128	(*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
✓	cost-diff	576	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (.f64 x (*.f64 y y)))
✓	cost-diff	-64	(*.f64 y (sqrt.f64 x))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	192	(+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))

Rules

10 486×	`accelerator-lowering-fma.f32`
10 486×	`accelerator-lowering-fma.f64`
2 294×	`-lowering-.f32`
2 294×	`-lowering-.f64`
2 128×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	136
1	61	132
2	150	131
3	315	131
4	855	127
5	1860	127
6	4040	127
7	6980	127
8	7706	127
0	8002	116

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize102.0ms (1.2%)

Memory

-17.5MiB live, 179.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 x #s(literal 1/4 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	99.8%	(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (+.f64 #s(literal 1 binary64) x))
✓	accuracy	99.6%	(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
✓	accuracy	99.9%	(fma.f64 y (sqrt.f64 x) x)
✓	accuracy	91.6%	(-.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (.f64 x (*.f64 y y)))
✓	accuracy	86.7%	(.f64 x (.f64 y y))
✓	accuracy	58.9%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (.f64 x (*.f64 y y))) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.7%	(*.f64 y (sqrt.f64 x))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))

Samples

44.0ms

256×

valid

Compiler

Compiled 133 to 24 computations (82% saved)

Precisions

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

ival-mult: 10.0ms (34.5% of total)

ival-pow: 6.0ms (20.7% of total)

ival-add: 5.0ms (17.3% of total)

ival-sub: 3.0ms (10.4% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series123.0ms (1.4%)

Memory

19.1MiB live, 222.7MiB allocated

Counts

14 → 276

Calls

Call 1

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

Calls

69 calls:

Time	Variable		Point	Expression
51.0ms	x	@	0	(pow x 1/4)
24.0ms	y	@	0	(* (pow x 1/4) y)
23.0ms	x	@	-inf	(pow x 1/4)
8.0ms	x	@	inf	(pow x 1/4)
2.0ms	y	@	inf	(/ (- (* (+ 1 x) (+ 1 x)) (* x (* y y))) (- 1 (+ (* y (sqrt x)) x)))

rewrite1.1s (12.2%)

Memory

-104.4MiB live, 941.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 170×	`accelerator-lowering-fma.f32`
8 170×	`accelerator-lowering-fma.f64`
4 208×	`/-lowering-/.f32`
4 208×	`/-lowering-/.f64`
4 122×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	94
1	164	89
2	1532	89
0	8373	84

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 742

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x (*.f64 (sqrt.f64 x) y)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(+.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x))
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(-.f64 (/.f64 (.f64 x (.f64 y y)) (+.f64 (-.f64 (.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) x)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (-.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) x)))
(-.f64 (/.f64 (.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) (fma.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 x x (.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 x x (.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)))))
(-.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))) (/.f64 (.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))))
(-.f64 (/.f64 (.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))) (/.f64 (.f64 x x) (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 y (pow.f64 x #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) 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 (fma.f64 (.f64 y (.f64 y y)) (.f64 x (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 y y)) (.f64 (sqrt.f64 x) y)))) (-.f64 #s(literal 0 binary64) 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 (sqrt.f64 x) y))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (.f64 (sqrt.f64 x) y))
(fma.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 y (pow.f64 x #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (.f64 (.f64 y (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 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))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) y))
(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 (sqrt.f64 x) y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (.f64 x (.f64 y y))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (sqrt.f64 x) y) (.f64 x (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (.f64 (sqrt.f64 x) y) #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 (fma.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (sqrt.f64 x) y) (.f64 x (.f64 y y)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (.f64 x (*.f64 y y))))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (sqrt.f64 x) y) (.f64 x (.f64 y y)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x) (-.f64 (.f64 x (.f64 y y)) (.f64 (sqrt.f64 x) (*.f64 y (-.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 (.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (.f64 x (.f64 y y))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (sqrt.f64 x) y) (.f64 x (*.f64 y y)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (-.f64 (.f64 (sqrt.f64 x) y) #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 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 (sqrt.f64 x) y) (.f64 x (.f64 y y))))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) (.f64 x (*.f64 y y)))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (sqrt.f64 x) y) (.f64 x (.f64 y y)) (.f64 x (.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (.f64 (sqrt.f64 x) y)) (.f64 x (.f64 y y))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x (.f64 y y)) (.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (.f64 (sqrt.f64 x) y) x))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 x (.f64 y y)))) (neg.f64 (-.f64 x (.f64 (sqrt.f64 x) y))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 (sqrt.f64 x) y) (.f64 x (.f64 y y)) (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 x (-.f64 x (.f64 (sqrt.f64 x) y)) (.f64 x (*.f64 y y)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 x (.f64 y y)) (.f64 x x)))) (neg.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 y y)) (-.f64 (.f64 (sqrt.f64 x) y) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (sqrt.f64 x) y) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 y y)) (-.f64 (.f64 (sqrt.f64 x) y) x)) (/.f64 (.f64 x (.f64 y y)) (-.f64 (.f64 (sqrt.f64 x) y) x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 (sqrt.f64 x) y) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (sqrt.f64 x) y) x)) (.f64 (/.f64 (.f64 x (.f64 y y)) (-.f64 (.f64 (sqrt.f64 x) y) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 (sqrt.f64 x) y) x))))))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (.f64 (sqrt.f64 x) y)) (.f64 x (.f64 y y))) (fma.f64 (.f64 (sqrt.f64 x) y) (.f64 x (.f64 y y)) (.f64 x (.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 x) y) x) (-.f64 (.f64 x (.f64 y y)) (.f64 x x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x))
(*.f64 (fma.f64 (sqrt.f64 x) y x) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 (sqrt.f64 x) y) (.f64 x (.f64 y y)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.f64 (sqrt.f64 x) y)) (.f64 x (*.f64 y y)))))
(.f64 (-.f64 (.f64 x (.f64 y y)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x)))

simplify400.0ms (4.6%)

Memory

6.2MiB live, 720.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 336×	`accelerator-lowering-fma.f32`
9 336×	`accelerator-lowering-fma.f64`
3 750×	`-lowering-.f32`
3 750×	`-lowering-.f64`
3 596×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	332	3139
1	1066	2976
2	3814	2817
0	8609	2652

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

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

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

eval245.0ms (2.8%)

Memory: 18.6MiB live, 326.2MiB allocated
Compiler: Compiled 39 372 to 3 122 computations (92.1% saved)

prune165.0ms (1.9%)

Memory

10.9MiB live, 325.1MiB allocated

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	1 267	9	1 276
Fresh	2	1	3
Picked	2	3	5
Done	0	0	0
Total	1 271	13	1 284

Accuracy

100.0%

Counts

1 284 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.5%	(fma.f64 (pow.f64 (.f64 x x) #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (+.f64 #s(literal 1 binary64) x))
	62.1%	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y x) #s(literal 1 binary64))
✓	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
▶	67.1%	(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
▶	38.4%	(/.f64 (-.f64 (.f64 x (.f64 y y)) #s(literal 1 binary64)) (-.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)))
✓	60.7%	(-.f64 #s(literal 1 binary64) x)
▶	33.6%	(-.f64 #s(literal 0 binary64) x)
	66.9%	(+.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
✓	67.1%	(+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
	28.2%	(+.f64 #s(literal 1 binary64) x)
	39.9%	(*.f64 (sqrt.f64 x) y)
▶	30.5%	(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
▶	28.2%	#s(literal 1 binary64)

Compiler

Compiled 204 to 144 computations (29.4% saved)

simplify141.0ms (1.6%)

Memory

-18.8MiB live, 98.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(/.f64 (-.f64 (.f64 x (.f64 y y)) #s(literal 1 binary64)) (-.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)))
✓	cost-diff	192	(-.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
✓	cost-diff	192	(-.f64 (.f64 x (.f64 y y)) #s(literal 1 binary64))
✓	cost-diff	-64	(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) x)
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))

Rules

1 096×	`accelerator-lowering-fma.f32`
1 096×	`accelerator-lowering-fma.f64`
760×	`-lowering-.f32`
760×	`-lowering-.f64`
330×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	88
1	42	88
2	69	88
3	134	88
4	179	88
5	310	88
6	593	88
7	873	88
8	1386	88
9	1648	88
10	1771	88
11	1903	88
12	1934	88
13	1941	88
14	1942	88
0	1942	81

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* (sqrt x) y) 1)
(sqrt x)
x
y
1
1
(- 0 x)
0
x
(* x (+ (* y (sqrt (/ 1 x))) 1))
x
(+ (* y (sqrt (/ 1 x))) 1)
y
(sqrt (/ 1 x))
(/ 1 x)
1
(/ (- (* x (* y y)) 1) (- (* (sqrt x) y) 1))
(- (* x (* y y)) 1)
(* x (* y y))
x
(* y y)
y
1
(- (* (sqrt x) y) 1)
(* (sqrt x) y)
(sqrt x)

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

localize107.0ms (1.2%)

Memory

-4.3MiB live, 94.1MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.7%	(*.f64 (sqrt.f64 x) y)
✓	accuracy	86.7%	(.f64 x (.f64 y y))
✓	accuracy	74.4%	(/.f64 (-.f64 (.f64 x (.f64 y y)) #s(literal 1 binary64)) (-.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) 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	90.9%	(*.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) x)
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.8%	(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))

Samples

86.0ms

256×

valid

Compiler

Compiled 88 to 20 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-sqrt: 29.0ms (63.5% of total)

ival-mult: 7.0ms (15.3% of total)

ival-sub: 3.0ms (6.6% of total)

ival-div: 3.0ms (6.6% of total)

ival-add: 2.0ms (4.4% of total)

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

exact: 0.0ms (0% of total)

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

series26.0ms (0.3%)

Memory

14.0MiB live, 51.3MiB allocated

Counts

12 → 240

Calls

Call 1

Inputs
#<alt (+ (* (sqrt x) y) 1)>
#<alt (sqrt x)>
#<alt (- 0 x)>
#<alt (+ (* y (sqrt (/ 1 x))) 1)>
#<alt (sqrt (/ 1 x))>
#<alt (/ 1 x)>
#<alt (* x (+ (* y (sqrt (/ 1 x))) 1))>
#<alt (- (* x (* y y)) 1)>
#<alt (- (* (sqrt x) y) 1)>
#<alt (/ (- (* x (* y y)) 1) (- (* (sqrt x) y) 1))>
#<alt (* x (* y y))>
#<alt (* (sqrt x) y)>

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

Calls

60 calls:

Time	Variable		Point	Expression
16.0ms	x	@	0	(* x (+ (* y (sqrt (/ 1 x))) 1))
1.0ms	x	@	-inf	(/ (- (* x (* y y)) 1) (- (* (sqrt x) y) 1))
1.0ms	x	@	inf	(/ (- (* x (* y y)) 1) (- (* (sqrt x) y) 1))
1.0ms	x	@	-inf	(* x (+ (* y (sqrt (/ 1 x))) 1))
0.0ms	y	@	0	(+ (* y (sqrt (/ 1 x))) 1)

rewrite644.0ms (7.3%)

Memory

-7.7MiB live, 1 135.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 706×	`accelerator-lowering-fma.f32`
11 706×	`accelerator-lowering-fma.f64`
5 160×	`-lowering-.f32`
5 160×	`-lowering-.f64`
4 118×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	63
1	109	58
2	860	56
0	9253	51

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 1 729

Calls

Call 1

Inputs
(+ (* (sqrt x) y) 1)
(sqrt x)
(- 0 x)
(+ (* y (sqrt (/ 1 x))) 1)
(sqrt (/ 1 x))
(/ 1 x)
(* x (+ (* y (sqrt (/ 1 x))) 1))
(- (* x (* y y)) 1)
(- (* (sqrt x) y) 1)
(/ (- (* x (* y y)) 1) (- (* (sqrt x) y) 1))
(* x (* y y))
(* (sqrt x) y)

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

simplify502.0ms (5.7%)

Memory

20.4MiB live, 859.4MiB allocated

Algorithm

1×	egg-herbie

Rules

13 270×	`accelerator-lowering-fma.f32`
13 270×	`accelerator-lowering-fma.f64`
4 638×	`-lowering-.f32`
4 638×	`-lowering-.f64`
1 918×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	1634
1	436	1501
2	1456	1474
3	6878	1465
0	8246	1355

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

eval363.0ms (4.1%)

Memory: 38.4MiB live, 607.4MiB allocated
Compiler: Compiled 55 753 to 3 574 computations (93.6% saved)

prune274.0ms (3.1%)

Memory

-68.9MiB live, 536.4MiB allocated

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	2 028	5	2 033
Fresh	1	4	5
Picked	3	2	5
Done	0	3	3
Total	2 032	14	2 046

Accuracy

100.0%

Counts

2 046 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.5%	(fma.f64 (pow.f64 (.f64 x x) #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (+.f64 #s(literal 1 binary64) x))
▶	30.5%	(fma.f64 (/.f64 y (sqrt.f64 x)) x x)
▶	67.0%	(fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))
▶	58.9%	(fma.f64 (*.f64 x y) (/.f64 y (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))
	62.1%	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y x) #s(literal 1 binary64))
✓	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
✓	67.1%	(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
✓	60.7%	(-.f64 #s(literal 1 binary64) x)
✓	67.1%	(+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
▶	28.2%	(+.f64 #s(literal 1 binary64) x)
	39.9%	(*.f64 (sqrt.f64 x) y)
	33.6%	(neg.f64 x)
▶	2.7%	x
✓	28.2%	#s(literal 1 binary64)

Compiler

Compiled 198 to 126 computations (36.4% saved)

simplify14.0ms (0.2%)

Memory

24.6MiB live, 24.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

178×	`-lowering-.f32`
178×	`-lowering-.f64`
86×	`associate-l`
80×	`accelerator-lowering-fma.f32`
80×	`accelerator-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	90
1	41	90
2	54	90
3	64	90
4	67	90
5	114	90
6	136	90
7	183	90
8	183	90
9	204	90
10	204	90
11	217	90
12	233	90
13	237	90
0	237	82

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize59.0ms (0.7%)

Memory

9.1MiB live, 122.4MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))
✓	accuracy	99.6%	(/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))
✓	accuracy	96.8%	(/.f64 y (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)))
✓	accuracy	93.0%	(fma.f64 (*.f64 x y) (/.f64 y (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.7%	(/.f64 y (sqrt.f64 x))
✓	accuracy	90.9%	(fma.f64 (/.f64 y (sqrt.f64 x)) x x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.8%	(fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))
✓	accuracy	99.2%	(/.f64 x (sqrt.f64 x))

Samples

38.0ms

256×

valid

Compiler

Compiled 84 to 21 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-add: 8.0ms (31.5% of total)

ival-div: 7.0ms (27.5% of total)

ival-mult: 7.0ms (27.5% of total)

ival-sqrt: 3.0ms (11.8% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.2%)

Memory

0.4MiB live, 42.5MiB allocated

Counts

11 → 228

Calls

Call 1

Inputs
#<alt (+ (* (/ x (sqrt x)) y) 1)>
#<alt (/ x (sqrt x))>
#<alt (sqrt x)>
#<alt (+ 1 x)>
#<alt (+ (* (/ y (sqrt x)) x) x)>
#<alt (/ y (sqrt x))>
#<alt (+ (* (* x y) (/ y (+ (* (sqrt x) y) -1))) (/ -1 (+ (* (sqrt x) y) -1)))>
#<alt (* x y)>
#<alt (/ y (+ (* (sqrt x) y) -1))>
#<alt (+ (* (sqrt x) y) -1)>
#<alt (/ -1 (+ (* (sqrt x) y) -1))>

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

Calls

57 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(+ (* (* x y) (/ y (+ (* (sqrt x) y) -1))) (/ -1 (+ (* (sqrt x) y) -1)))
2.0ms	x	@	inf	(+ (* (* x y) (/ y (+ (* (sqrt x) y) -1))) (/ -1 (+ (* (sqrt x) y) -1)))
1.0ms	x	@	-inf	(+ (* (* x y) (/ y (+ (* (sqrt x) y) -1))) (/ -1 (+ (* (sqrt x) y) -1)))
1.0ms	x	@	-inf	(/ x (sqrt x))
1.0ms	y	@	inf	(+ (* (* x y) (/ y (+ (* (sqrt x) y) -1))) (/ -1 (+ (* (sqrt x) y) -1)))

rewrite396.0ms (4.5%)

Memory

16.3MiB live, 719.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 560×	`accelerator-lowering-fma.f32`
10 560×	`accelerator-lowering-fma.f64`
3 410×	`/-lowering-/.f32`
3 410×	`/-lowering-/.f64`
3 140×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	64
1	128	64
2	976	54
0	9533	48

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 627

Calls

Call 1

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

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

simplify401.0ms (4.6%)

Memory

-16.1MiB live, 694.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 242×	`accelerator-lowering-fma.f32`
9 242×	`accelerator-lowering-fma.f64`
3 742×	`-lowering-.f32`
3 742×	`-lowering-.f64`
2 344×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	297	1994
1	937	1786
2	2926	1727
0	8169	1626

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

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

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

eval205.0ms (2.3%)

Memory: 25.8MiB live, 347.4MiB allocated
Compiler: Compiled 23 773 to 1 668 computations (93% saved)

prune100.0ms (1.1%)

Memory

10.9MiB live, 286.0MiB allocated

Pruning

14 alts after pruning (5 fresh and 9 done)

	Pruned	Kept	Total
New	1 076	1	1 077
Fresh	0	4	4
Picked	1	4	5
Done	0	5	5
Total	1 077	14	1 091

Accuracy

100.0%

Counts

1 091 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.5%	(fma.f64 (pow.f64 (.f64 x x) #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (+.f64 #s(literal 1 binary64) x))
✓	30.5%	(fma.f64 (/.f64 y (sqrt.f64 x)) x x)
✓	67.0%	(fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))
	57.2%	(fma.f64 (*.f64 x y) (/.f64 y (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) #s(literal 1 binary64))
	62.1%	(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y x) #s(literal 1 binary64))
✓	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
✓	67.1%	(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
✓	60.7%	(-.f64 #s(literal 1 binary64) x)
✓	67.1%	(+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
✓	28.2%	(+.f64 #s(literal 1 binary64) x)
	39.9%	(*.f64 (sqrt.f64 x) y)
	33.6%	(neg.f64 x)
✓	2.7%	x
✓	28.2%	#s(literal 1 binary64)

Compiler

Compiled 307 to 132 computations (57% saved)

regimes27.0ms (0.3%)

Memory

-16.3MiB live, 62.0MiB allocated

Counts

24 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(neg.f64 x)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))
(fma.f64 (/.f64 y (sqrt.f64 x)) x x)
(*.f64 x (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 y x) #s(literal 1 binary64))
(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x y) (/.f64 y (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 x (.f64 y y)) #s(literal 1 binary64)) (-.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (.f64 x (*.f64 y y))) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))
(fma.f64 (*.f64 x y) (/.f64 y (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (*.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 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (.f64 x x) #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (+.f64 #s(literal 1 binary64) x))

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

Calls

3 calls:

9.0ms	y
9.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
7.0ms	x

Results

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes9.0ms (0.1%)

Memory

-14.1MiB live, 25.1MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(neg.f64 x)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))

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

Calls

2 calls:

4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

21.0MiB live, 21.0MiB allocated

Counts

9 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(neg.f64 x)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x)))

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

Calls

2 calls:

4.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
82.6%	2	`x`
96.0%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

8 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(neg.f64 x)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
96.0%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory

-28.5MiB live, 11.2MiB allocated

Counts

7 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(neg.f64 x)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (sqrt.f64 x) y)

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
93.0%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(neg.f64 x)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 1 binary64) x)

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

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
60.7%	1	`x`
60.7%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
x
(neg.f64 x)
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 0 binary64) x)

Outputs
#s(literal 1 binary64)
(neg.f64 x)

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
35.5%	2	`y`
59.8%	2	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory

-32.6MiB live, 9.5MiB allocated

Accuracy

Total -16.5b remaining (-35.9%)

Threshold costs -16.5b (-35.9%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
x

Outputs
#s(literal 1 binary64)

Calls

2 calls:

3.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
28.2%	1	`y`
28.2%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch21.0ms (0.2%)

Memory

9.6MiB live, 48.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	4.694502074577869e+26	5.1800196711384785e+29
9.0ms	-114660860876649100.0	-4055385797270952.0

Samples

12.0ms

240×

valid

Compiler

Compiled 230 to 184 computations (20% saved)

Precisions

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

ival-mult: 2.0ms (34.2% of total)

ival-sqrt: 2.0ms (34.2% of total)

ival-sub: 1.0ms (17.1% of total)

ival-add: 1.0ms (17.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch24.0ms (0.3%)

Memory

-8.3MiB live, 30.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	4.694502074577869e+26	5.1800196711384785e+29
8.0ms	-114660860876649100.0	-4055385797270952.0

Samples

15.0ms

240×

valid

Compiler

Compiled 223 to 177 computations (20.6% saved)

Precisions

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

ival-add: 5.0ms (51.8% of total)

ival-sqrt: 2.0ms (20.7% of total)

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

ival-mult: 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)

bsearch72.0ms (0.8%)

Memory

1.3MiB live, 40.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.3251091728954689e+53	2.0709931091300148e+57
12.0ms	-6.0402621747976496e+131	-1.3735319078725313e+116

Samples

13.0ms

288×

valid

Compiler

Compiled 247 to 192 computations (22.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-sub: 2.0ms (28.7% of total)

ival-mult: 2.0ms (28.7% of total)

ival-sqrt: 2.0ms (28.7% of total)

ival-add: 1.0ms (14.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch12.0ms (0.1%)

Memory

19.5MiB live, 19.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.4887576547415276e-12	1.3010048288362003e-6

Samples

6.0ms

144×

valid

Compiler

Compiled 94 to 84 computations (10.6% saved)

Precisions

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

ival-sub: 1.0ms (29.3% of total)

ival-add: 1.0ms (29.3% of total)

ival-mult: 1.0ms (29.3% of total)

ival-sqrt: 1.0ms (29.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify19.0ms (0.2%)

Memory

-44.6MiB live, 26.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`sub-neg_binary64`
4×	`if-if-or-not_binary32`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	81
1	49	81
2	52	81
3	53	81

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 y #s(literal -112000000000000000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) (if (<=.f64 y #s(literal 410000000000000033485444087808 binary64)) (-.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -112000000000000000 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (if (<=.f64 y #s(literal 490000000000000012558215938048 binary64)) (-.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -140000000000000002178318258125358023397548195568948600671767881260316729363065798457097954588106642674668879321497600 binary64)) (.f64 (sqrt.f64 x) y) (if (<=.f64 y #s(literal 15000000000000000834090739148005194171205797066523541504 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 (sqrt.f64 x) y)))
(-.f64 #s(literal 1 binary64) x)
(if (<=.f64 x #s(literal 6139076427730539/4722366482869645213696 binary64)) #s(literal 1 binary64) (neg.f64 x))
#s(literal 1 binary64)

Outputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 y #s(literal -112000000000000000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 x))) (if (<=.f64 y #s(literal 410000000000000033485444087808 binary64)) (-.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -112000000000000000 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (if (<=.f64 y #s(literal 490000000000000012558215938048 binary64)) (-.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -140000000000000002178318258125358023397548195568948600671767881260316729363065798457097954588106642674668879321497600 binary64)) (.f64 (sqrt.f64 x) y) (if (<=.f64 y #s(literal 15000000000000000834090739148005194171205797066523541504 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 (sqrt.f64 x) y)))
(if (<=.f64 y #s(literal -140000000000000002178318258125358023397548195568948600671767881260316729363065798457097954588106642674668879321497600 binary64)) (.f64 y (sqrt.f64 x)) (if (<=.f64 y #s(literal 15000000000000000834090739148005194171205797066523541504 binary64)) (-.f64 #s(literal 1 binary64) x) (.f64 y (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) x)
(if (<=.f64 x #s(literal 6139076427730539/4722366482869645213696 binary64)) #s(literal 1 binary64) (neg.f64 x))
(if (<=.f64 x #s(literal 6139076427730539/4722366482869645213696 binary64)) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
#s(literal 1 binary64)

soundness874.0ms (9.9%)

Memory

23.9MiB live, 572.8MiB allocated

Rules

11 706×	`accelerator-lowering-fma.f32`
11 706×	`accelerator-lowering-fma.f64`
9 336×	`accelerator-lowering-fma.f32`
9 336×	`accelerator-lowering-fma.f64`
7 542×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	63
1	109	58
2	860	56
0	9253	51
0	332	3139
1	1066	2976
2	3814	2817
0	8609	2652
0	52	369
1	141	369
2	438	357
3	1300	357
4	4655	357
5	7381	357
0	8082	330

Stop Event

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

Compiler

Compiled 173 to 96 computations (44.5% saved)

preprocess73.0ms (0.8%)

Memory: -14.9MiB live, 146.2MiB allocated
Compiler: Compiled 202 to 76 computations (62.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	19	90
1	41	90
2	54	90
3	64	90
4	67	90
5	114	90
6	136	90
7	183	90
8	183	90
9	204	90
10	204	90
11	217	90
12	233	90
13	237	90
0	237	82

Iter	Nodes	Cost
0	19	90
1	41	90
2	54	90
3	64	90
4	67	90
5	114	90
6	136	90
7	183	90
8	183	90
9	204	90
10	204	90
11	217	90
12	233	90
13	237	90
0	237	82

analyze8.0ms (0.1%)

sample640.0ms (7.3%)

preprocess52.0ms (0.6%)

explain91.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify18.0ms (0.2%)

localize23.0ms (0.3%)

series5.0ms (0.1%)

rewrite565.0ms (6.4%)

simplify385.0ms (4.4%)

eval41.0ms (0.5%)

prune63.0ms (0.7%)

simplify373.0ms (4.2%)

localize102.0ms (1.2%)

series123.0ms (1.4%)

rewrite1.1s (12.2%)

simplify400.0ms (4.6%)

eval245.0ms (2.8%)

prune165.0ms (1.9%)

simplify141.0ms (1.6%)

localize107.0ms (1.2%)

series26.0ms (0.3%)

rewrite644.0ms (7.3%)

simplify502.0ms (5.7%)

eval363.0ms (4.1%)

prune274.0ms (3.1%)

simplify14.0ms (0.2%)

localize59.0ms (0.7%)

series21.0ms (0.2%)

rewrite396.0ms (4.5%)

simplify401.0ms (4.6%)

eval205.0ms (2.3%)

prune100.0ms (1.1%)

regimes27.0ms (0.3%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch21.0ms (0.2%)

bsearch24.0ms (0.3%)

bsearch72.0ms (0.8%)

bsearch12.0ms (0.1%)

simplify19.0ms (0.2%)

soundness874.0ms (9.9%)

preprocess73.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	19	90
1	41	90
2	54	90
3	64	90
4	67	90
5	114	90
6	136	90
7	183	90
8	183	90
9	204	90
10	204	90
11	217	90
12	233	90
13	237	90
0	237	82