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

analyze8.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 10 to 9 computations (10% saved)

sample693.0ms (9.6%)

Memory

-0.0MiB live, 1 195.3MiB allocated

Samples

473.0ms	8 254×	0	valid
12.0ms	261×	0	invalid
0.0ms	2×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 236.0ms

ival-sub: 62.0ms (26.3% of total)

ival-mult: 61.0ms (25.9% of total)

ival-sqrt: 58.0ms (24.6% of total)

ival-add: 42.0ms (17.8% of total)

ival-true: 6.0ms (2.5% of total)

exact: 4.0ms (1.7% of total)

ival-assert: 3.0ms (1.3% of total)

adjust: 0.0ms (0% of total)

Bogosity

preprocess54.0ms (0.7%)

Memory

10.0MiB live, 92.4MiB 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)))

explain115.0ms (1.6%)

Memory

-10.8MiB live, 145.9MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

26.0ms

512×

valid

Compiler

Compiled 64 to 32 computations (50% saved)

Precisions

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

ival-sqrt: 4.0ms (30.9% of total)

ival-sub: 3.0ms (23.2% of total)

ival-mult: 3.0ms (23.2% of total)

ival-add: 2.0ms (15.5% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify19.0ms (0.3%)

Memory

27.1MiB live, 27.1MiB 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)

localize22.0ms (0.3%)

Memory

3.9MiB live, 42.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	100.0%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
✓	accuracy	99.6%	(*.f64 y (sqrt.f64 x))

Samples

15.0ms

256×

valid

Compiler

Compiled 22 to 9 computations (59.1% saved)

Precisions

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

ival-mult: 3.0ms (40.5% of total)

ival-sqrt: 2.0ms (27% of total)

ival-sub: 1.0ms (13.5% of total)

ival-add: 1.0ms (13.5% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

-29.1MiB live, 9.7MiB 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
2.0ms	x	@	-inf	(+ (- 1 x) (* y (sqrt x)))
0.0ms	y	@	0	(+ (- 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	x	@	-inf	(sqrt x)

rewrite416.0ms (5.8%)

Memory

15.3MiB live, 573.9MiB 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))

simplify287.0ms (4%)

Memory

0.1MiB live, 398.3MiB 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 (0.6%)

Memory: 13.4MiB live, 128.1MiB allocated
Compiler: Compiled 7 419 to 720 computations (90.3% saved)

prune42.0ms (0.6%)

Memory

-0.0MiB live, 118.1MiB 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
▶	68.0%	(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))
	68.7%	(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
▶	94.3%	(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
	51.8%	(/.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)))
▶	59.2%	(-.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))))
▶	71.6%	(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (pow.f64 (.f64 x x) #s(literal 1/4 binary64))))

Compiler

Compiled 192 to 124 computations (35.4% saved)

simplify95.0ms (1.3%)

Memory

-1.4MiB live, 111.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 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	-64	(.f64 y (pow.f64 (.f64 x x) #s(literal 1/4 binary64)))
✓	cost-diff	0	(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	192	(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (pow.f64 (.f64 x x) #s(literal 1/4 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	(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
✓	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

1 584×	`accelerator-lowering-fma.f32`
1 584×	`accelerator-lowering-fma.f64`
656×	`-lowering-.f32`
656×	`-lowering-.f64`
408×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	113
1	54	109
2	109	108
3	178	108
4	316	108
5	595	108
6	1138	108
7	1451	108
8	1633	108
9	1700	108
10	1712	108
11	1717	108
12	1718	108
13	1718	108
0	1718	102

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

localize103.0ms (1.4%)

Memory

14.7MiB live, 216.6MiB allocated

Localize:

Found 16 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	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (pow.f64 (.f64 x x) #s(literal 1/4 binary64))))
✓	accuracy	99.6%	(.f64 y (pow.f64 (.f64 x x) #s(literal 1/4 binary64)))
✓	accuracy	56.1%	(pow.f64 (*.f64 x x) #s(literal 1/4 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	99.7%	(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓	accuracy	94.3%	(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
✓	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

53.0ms

256×

valid

Compiler

Compiled 110 to 26 computations (76.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 12.0ms (31.7% of total)

ival-pow: 10.0ms (26.4% of total)

ival-add: 6.0ms (15.9% of total)

ival-div: 4.0ms (10.6% of total)

ival-sqrt: 4.0ms (10.6% of total)

ival-sub: 1.0ms (2.6% of total)

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

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

exact: 0.0ms (0% of total)

series181.0ms (2.5%)

Memory

3.8MiB live, 306.5MiB allocated

Counts

15 → 264

Calls

Call 1

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

Calls

66 calls:

Time	Variable		Point	Expression
65.0ms	x	@	0	(+ (- 1 x) (* y (pow (* x x) 1/4)))
40.0ms	y	@	0	(* (pow x 1/4) y)
31.0ms	y	@	0	(+ (- 1 x) (* y (pow (* x x) 1/4)))
14.0ms	x	@	-inf	(pow x 1/4)
9.0ms	x	@	0	(pow x 1/4)

rewrite455.0ms (6.3%)

Memory

-33.1MiB live, 868.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 472×	`accelerator-lowering-fma.f32`
9 472×	`accelerator-lowering-fma.f64`
3 778×	`/-lowering-/.f32`
3 778×	`/-lowering-/.f64`
3 642×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	78
1	158	69
2	1283	69
0	8493	65

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 829

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(+.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 1 binary64))
(+.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 (/.f64 (.f64 (-.f64 (.f64 (sqrt.f64 x) y) x) (-.f64 (*.f64 (sqrt.f64 x) y) x)) (-.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (-.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) (+.f64 x (.f64 (sqrt.f64 x) y)))) (neg.f64 (/.f64 (.f64 x (.f64 y y)) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (sqrt.f64 x) y))))))
(+.f64 (/.f64 (.f64 x (.f64 y y)) (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) x)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 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 (-.f64 (.f64 (sqrt.f64 x) y) x) (-.f64 (*.f64 (sqrt.f64 x) y) x)) (-.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.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) (+.f64 x (.f64 (sqrt.f64 x) y)))) (/.f64 (.f64 x (.f64 y y)) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (sqrt.f64 x) y)))))
(-.f64 (/.f64 (.f64 x (.f64 y y)) (+.f64 (fma.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 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (.f64 (sqrt.f64 x) y) x))) (/.f64 (.f64 (-.f64 (.f64 (sqrt.f64 x) y) x) (-.f64 (.f64 (sqrt.f64 x) y) x)) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (.f64 (sqrt.f64 x) y) x))) (/.f64 (.f64 (-.f64 x (.f64 (sqrt.f64 x) y)) (-.f64 x (.f64 (sqrt.f64 x) y))) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x (.f64 (sqrt.f64 x) y)) (-.f64 x (.f64 (sqrt.f64 x) y)) (-.f64 x (.f64 (sqrt.f64 x) y))))) (/.f64 (.f64 (-.f64 x (.f64 (sqrt.f64 x) y)) (.f64 (-.f64 x (.f64 (sqrt.f64 x) y)) (-.f64 x (.f64 (sqrt.f64 x) y)))) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x (.f64 (sqrt.f64 x) y)) (-.f64 x (.f64 (sqrt.f64 x) y)) (-.f64 x (*.f64 (sqrt.f64 x) y))))))
(-.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 (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 x (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 x (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) #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 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(fma.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 y x) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x))
(fma.f64 (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)) x #s(literal 1 binary64))
(fma.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 1 binary64) #s(literal 1 binary64))
(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 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (+.f64 x (.f64 (sqrt.f64 x) y)))) (neg.f64 (/.f64 (.f64 x (.f64 y y)) (-.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (sqrt.f64 x) y))))))
(fma.f64 (.f64 (-.f64 (.f64 (sqrt.f64 x) y) x) (-.f64 (*.f64 (sqrt.f64 x) y) x)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) x))))
(fma.f64 (.f64 x (.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) x)) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 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 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 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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 x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) (.f64 (sqrt.f64 x) y))
(fma.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 x (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (fma.f64 (.f64 (sqrt.f64 x) y) (.f64 x (.f64 y y)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 y y) (-.f64 (.f64 x x) (neg.f64 (.f64 (*.f64 (sqrt.f64 x) y) x))))) #s(literal 1 binary64))
(fma.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 #s(literal 0 binary64) x))
(fma.f64 (fma.f64 x (.f64 y y) (-.f64 #s(literal 0 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) y x)) #s(literal 1 binary64))
(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 x y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 x (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 y y) x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (sqrt.f64 x)))))) #s(literal 1 binary64))
(fma.f64 (.f64 x (+.f64 (/.f64 (.f64 y y) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 y (.f64 y y)) (.f64 x (sqrt.f64 x)))) x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 y y) x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (sqrt.f64 x)))))) #s(literal 1 binary64))
(fma.f64 (.f64 (+.f64 (/.f64 (.f64 y y) x) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(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))
(neg.f64 (/.f64 (fma.f64 (-.f64 (.f64 (sqrt.f64 x) y) x) (.f64 (-.f64 (.f64 (sqrt.f64 x) y) x) (-.f64 (.f64 (sqrt.f64 x) y) x)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (-.f64 (.f64 (sqrt.f64 x) y) x) (-.f64 (.f64 (sqrt.f64 x) y) x) #s(literal 1 binary64)) (-.f64 x (*.f64 (sqrt.f64 x) y))))))
(neg.f64 (/.f64 (fma.f64 (-.f64 (.f64 (sqrt.f64 x) y) x) (-.f64 (.f64 (sqrt.f64 x) y) x) #s(literal -1 binary64)) (+.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64))))
(neg.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 y (.f64 y y)) (.f64 x (sqrt.f64 x)))) (-.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x) (fma.f64 x (.f64 y y) (.f64 (.f64 (sqrt.f64 x) y) (+.f64 x #s(literal -1 binary64))))))))
(neg.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 (.f64 y (.f64 y y)) (.f64 x (sqrt.f64 x)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y y) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (+.f64 x (.f64 (sqrt.f64 x) y))))))))
(neg.f64 (/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (.f64 x (.f64 y y))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (+.f64 x (.f64 (sqrt.f64 x) y))))))
(neg.f64 (/.f64 (fma.f64 x (.f64 y y) (.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (.f64 (sqrt.f64 x) y) x) (.f64 (-.f64 (.f64 (sqrt.f64 x) y) x) (-.f64 (.f64 (sqrt.f64 x) y) x)) #s(literal 1 binary64))) (+.f64 (fma.f64 (-.f64 (.f64 (sqrt.f64 x) y) x) (-.f64 (.f64 (sqrt.f64 x) y) x) #s(literal 1 binary64)) (-.f64 x (*.f64 (sqrt.f64 x) y)))))
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(.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 y (.f64 y y)) (.f64 x (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (-.f64 (.f64 x (.f64 y y)) (.f64 (sqrt.f64 x) (.f64 y (+.f64 x #s(literal 1 binary64))))))))
(.f64 (-.f64 (.f64 x (.f64 y y)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) y #s(literal -1 binary64)) x)))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 (.f64 y (.f64 y y)) (.f64 x (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y y) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) y)))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 y y)) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 x (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64))))
(.f64 (fma.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (.f64 x (.f64 x x))) (/.f64 #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)) (-.f64 (.f64 x x) (.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)))))
(.f64 (-.f64 (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (.f64 x (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) y))))
(.f64 (.f64 (+.f64 x (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/8 binary64) (*.f64 (log.f64 x) #s(literal 1/8 binary64))))
(pow.f64 x #s(literal 1/4 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/16 binary64))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (neg.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1 binary64))))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 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 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.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 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.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))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(.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 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 y (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) y)
(.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) y))
(.f64 (.f64 y (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))

simplify352.0ms (4.9%)

Memory

6.9MiB live, 572.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 086×	`accelerator-lowering-fma.f32`
9 086×	`accelerator-lowering-fma.f64`
3 502×	`-lowering-.f32`
3 502×	`-lowering-.f64`
2 464×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	1646
1	361	1559
2	1088	1533
3	2808	1529
4	6084	1529
0	8525	1413

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

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

eval149.0ms (2.1%)

Memory: -1.6MiB live, 306.0MiB allocated
Compiler: Compiled 26 285 to 1 609 computations (93.9% saved)

prune125.0ms (1.7%)

Memory

15.7MiB live, 174.3MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	1 223	6	1 229
Fresh	2	1	3
Picked	2	3	5
Done	0	0	0
Total	1 227	10	1 237

Accuracy

100.0%

Counts

1 237 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.2%	(fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x))
▶	99.8%	(fma.f64 (/.f64 x (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) x))
✓	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
▶	68.7%	(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
✓	94.3%	(fma.f64 x (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
✓	59.2%	(-.f64 #s(literal 1 binary64) x)
▶	32.1%	(-.f64 #s(literal 0 binary64) x)
	94.1%	(+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x y) (sqrt.f64 x)))
▶	28.3%	(+.f64 #s(literal 1 binary64) x)
▶	28.2%	#s(literal 1 binary64)

Compiler

Compiled 134 to 94 computations (29.9% saved)

simplify54.0ms (0.7%)

Memory

20.0MiB live, 57.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

768×	`accelerator-lowering-fma.f32`
768×	`accelerator-lowering-fma.f64`
384×	`-lowering-.f32`
384×	`-lowering-.f64`
200×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	43
1	26	43
2	42	43
3	78	43
4	144	43
5	302	43
6	524	43
7	1085	43
8	1319	43
9	1371	43
10	1453	43
11	1474	43
12	1480	43
0	1480	41

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize66.0ms (0.9%)

Memory

-18.9MiB live, 56.6MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.8%	(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) 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 (/.f64 x (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) x))
✓	accuracy	99.2%	(/.f64 x (sqrt.f64 x))

Samples

22.0ms

256×

valid

Compiler

Compiled 44 to 15 computations (65.9% saved)

Precisions

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

ival-add: 3.0ms (23.8% of total)

ival-mult: 3.0ms (23.8% of total)

ival-div: 2.0ms (15.9% of total)

ival-sub: 2.0ms (15.9% of total)

ival-sqrt: 2.0ms (15.9% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

7 → 108

Calls

Call 1

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

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

Calls

27 calls:

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

rewrite810.0ms (11.2%)

Memory

-120.3MiB live, 690.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

12 048×	`accelerator-lowering-fma.f32`
12 048×	`accelerator-lowering-fma.f64`
4 172×	`-lowering-.f32`
4 172×	`-lowering-.f64`
3 038×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	32
1	83	32
2	758	26
0	9420	24

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 668

Calls

Call 1

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

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

simplify279.0ms (3.9%)

Memory

-10.2MiB live, 468.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 512×	`accelerator-lowering-fma.f32`
7 512×	`accelerator-lowering-fma.f64`
2 624×	`-lowering-.f32`
2 624×	`-lowering-.f64`
1 818×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	518
1	186	494
2	537	494
3	1407	494
4	3531	494
5	5693	494
0	8107	448

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

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

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

eval111.0ms (1.5%)

Memory: 10.6MiB live, 293.0MiB allocated
Compiler: Compiled 16 439 to 1 596 computations (90.3% saved)

prune105.0ms (1.5%)

Memory

-14.5MiB live, 305.1MiB allocated

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	882	5	887
Fresh	2	0	2
Picked	1	4	5
Done	1	2	3
Total	886	11	897

Accuracy

100.0%

Counts

897 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.1%	(fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))
✓	99.8%	(fma.f64 (/.f64 x (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) x))
▶	68.6%	(fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))
▶	65.5%	(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x y) #s(literal 1 binary64))
✓	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
✓	68.7%	(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
✓	59.2%	(-.f64 #s(literal 1 binary64) x)
✓	28.3%	(+.f64 #s(literal 1 binary64) x)
▶	32.1%	(neg.f64 x)
▶	3.0%	x
✓	28.2%	#s(literal 1 binary64)

Compiler

Compiled 112 to 77 computations (31.3% saved)

simplify8.0ms (0.1%)

Memory

18.9MiB live, 18.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 x y)
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
✓	cost-diff	384	(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x y) #s(literal 1 binary64))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(/.f64 y (sqrt.f64 x))
✓	cost-diff	0	(fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))
✓	cost-diff	-64	(neg.f64 x)
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(/.f64 x (sqrt.f64 x))
✓	cost-diff	0	(fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))

Rules

64×	`-lowering-.f32`
64×	`-lowering-.f64`
64×	`accelerator-lowering-fma.f32`
64×	`accelerator-lowering-fma.f64`
30×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	58
1	33	58
2	50	58
3	75	58
4	87	58
5	94	58
6	113	58
7	137	58
8	139	58
0	139	55

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
(neg x)
x
(+ (* (/ y (sqrt x)) x) 1)
(/ y (sqrt x))
y
(sqrt x)
x
1
(+ (* (/ 1 (sqrt x)) (* x y)) 1)
(/ 1 (sqrt x))
1
(sqrt x)
x
(* x y)
y

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

localize50.0ms (0.7%)

Memory

-30.2MiB live, 128.5MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
✓	accuracy	94.1%	(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x y) #s(literal 1 binary64))
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.7%	(/.f64 y (sqrt.f64 x))
✓	accuracy	94.2%	(fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))
✓	accuracy	100.0%	(neg.f64 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

30.0ms

256×

valid

Compiler

Compiled 59 to 17 computations (71.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 6.0ms (34% of total)

ival-div: 5.0ms (28.3% of total)

ival-add: 3.0ms (17% of total)

ival-sqrt: 2.0ms (11.3% of total)

ival-neg: 1.0ms (5.7% 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

17.3MiB live, 17.3MiB allocated

Counts

9 → 168

Calls

Call 1

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

Calls

42 calls:

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

rewrite536.0ms (7.4%)

Memory

6.2MiB live, 481.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 310×	`accelerator-lowering-fma.f32`
5 310×	`accelerator-lowering-fma.f64`
3 432×	`-lowering-.f32`
3 432×	`-lowering-.f64`
3 104×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	45
1	87	44
2	505	34
3	3925	34
0	8764	31

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 719

Calls

Call 1

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

simplify481.0ms (6.7%)

Memory

4.9MiB live, 447.4MiB allocated

Algorithm

1×	egg-herbie

Rules

10 140×	`accelerator-lowering-fma.f32`
10 140×	`accelerator-lowering-fma.f64`
3 792×	`-lowering-.f32`
3 792×	`-lowering-.f64`
1 950×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	837
1	77	801
2	179	801
3	430	801
4	985	801
5	1345	801
6	1484	801
7	1515	801
8	1523	801
9	1523	801
10	1549	801
11	1765	801
12	2609	801
13	3094	801
14	3427	801
15	4023	801
16	4900	801
17	5782	801
18	7255	801
0	8021	744

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

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

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

eval201.0ms (2.8%)

Memory: -2.0MiB live, 226.3MiB allocated
Compiler: Compiled 17 252 to 1 465 computations (91.5% saved)

prune107.0ms (1.5%)

Memory

-8.8MiB live, 200.4MiB allocated

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	1 093	0	1 093
Fresh	0	0	0
Picked	0	5	5
Done	0	6	6
Total	1 093	11	1 104

Accuracy

100.0%

Counts

1 104 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.1%	(fma.f64 (/.f64 y (sqrt.f64 x)) x #s(literal 1 binary64))
✓	99.8%	(fma.f64 (/.f64 x (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) x))
✓	68.6%	(fma.f64 (/.f64 x (sqrt.f64 x)) y #s(literal 1 binary64))
✓	65.5%	(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x y) #s(literal 1 binary64))
✓	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
✓	68.7%	(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
✓	59.2%	(-.f64 #s(literal 1 binary64) x)
✓	28.3%	(+.f64 #s(literal 1 binary64) x)
✓	32.1%	(neg.f64 x)
✓	3.0%	x
✓	28.2%	#s(literal 1 binary64)

Compiler

Compiled 227 to 101 computations (55.5% saved)

regimes21.0ms (0.3%)

Memory

4.5MiB live, 40.9MiB allocated

Counts

20 → 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)
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(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 #s(literal 1 binary64))
(fma.f64 (/.f64 x (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 y (sqrt.f64 x)) x (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x y) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x y) #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))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (.f64 x (*.f64 y y))) (-.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 x) x)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (pow.f64 (.f64 x x) #s(literal 1/4 binary64))))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) y) (+.f64 #s(literal 1 binary64) x))

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

Calls

3 calls:

8.0ms	y
6.0ms	x
6.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes9.0ms (0.1%)

Memory

22.3MiB live, 22.3MiB 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)
(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

3 calls:

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

Results

Accuracy	Segments	Branch
80.9%	2	`x`
97.0%	3	`y`
83.0%	3	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes10.0ms (0.1%)

Memory

-18.9MiB live, 20.4MiB 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

3 calls:

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

Results

Accuracy	Segments	Branch
59.2%	1	`x`
59.2%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
59.2%	1	`y`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes7.0ms (0.1%)

Memory

17.1MiB live, 17.1MiB 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
(neg.f64 x)
(+.f64 #s(literal 1 binary64) x)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
38.0%	4	`y`
59.2%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
58.3%	2	`x`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes44.0ms (0.6%)

Memory

-38.6MiB live, 4.9MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

44.0ms

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

Results

Accuracy	Segments	Branch
58.9%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes5.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Accuracy

Total -16.3b remaining (-35.5%)

Threshold costs -16.3b (-35.5%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
x

Outputs
#s(literal 1 binary64)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
28.2%	1	`y`
28.2%	1	`x`
28.2%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch56.0ms (0.8%)

Memory

-1.2MiB live, 37.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
46.0ms	4.2865362881854123e+67	3.266454481580587e+72
8.0ms	-20226416329593897000.0	-471713528952116860.0

Samples

46.0ms

256×

valid

Compiler

Compiled 237 to 188 computations (20.7% saved)

Precisions

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

ival-mult: 2.0ms (32.4% of total)

ival-sqrt: 2.0ms (32.4% of total)

ival-sub: 1.0ms (16.2% of total)

ival-add: 1.0ms (16.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-348185.93673158786	0.9993885317835491

Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-348185.93673158786	0.9993885317835491

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify8.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	58
1	34	58
2	37	58
3	38	58

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 y #s(literal -20000000000000000000 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1560000000000000074836652233538385337848388400290844660139929787957248 binary64)) (-.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) x)
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #s(literal -200000 binary64)) (neg.f64 x) (+.f64 #s(literal 1 binary64) x))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #s(literal -200000 binary64)) (neg.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 y #s(literal -20000000000000000000 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1560000000000000074836652233538385337848388400290844660139929787957248 binary64)) (-.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) x)
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #s(literal -200000 binary64)) (neg.f64 x) (+.f64 #s(literal 1 binary64) x))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)) #s(literal -200000 binary64)) (-.f64 #s(literal 0 binary64) x) (+.f64 x #s(literal 1 binary64)))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #s(literal -200000 binary64)) (neg.f64 x) #s(literal 1 binary64))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)) #s(literal -200000 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
#s(literal 1 binary64)

soundness1.0s (14.4%)

Memory

-23.7MiB live, 534.8MiB allocated

Rules

12 048×	`accelerator-lowering-fma.f32`
12 048×	`accelerator-lowering-fma.f64`
9 086×	`accelerator-lowering-fma.f32`
9 086×	`accelerator-lowering-fma.f64`
7 542×	`accelerator-lowering-fma.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
0	13	32
1	83	32
2	758	26
0	9420	24
0	119	1646
1	361	1559
2	1088	1533
3	2808	1529
4	6084	1529
0	8525	1413
0	52	369
1	141	369
2	438	357
3	1300	357
4	4655	357
5	7381	357
0	8082	330

Stop Event

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

Compiler

Compiled 134 to 77 computations (42.5% saved)

preprocess51.0ms (0.7%)

Memory: 18.3MiB live, 95.2MiB allocated
Compiler: Compiled 152 to 58 computations (61.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze8.0ms (0.1%)

sample693.0ms (9.6%)

preprocess54.0ms (0.7%)

explain115.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify19.0ms (0.3%)

localize22.0ms (0.3%)

series6.0ms (0.1%)

rewrite416.0ms (5.8%)

simplify287.0ms (4%)

eval41.0ms (0.6%)

prune42.0ms (0.6%)

simplify95.0ms (1.3%)

localize103.0ms (1.4%)

series181.0ms (2.5%)

rewrite455.0ms (6.3%)

simplify352.0ms (4.9%)

eval149.0ms (2.1%)

prune125.0ms (1.7%)

simplify54.0ms (0.7%)

localize66.0ms (0.9%)

series3.0ms (0%)

rewrite810.0ms (11.2%)

simplify279.0ms (3.9%)

eval111.0ms (1.5%)

prune105.0ms (1.5%)

simplify8.0ms (0.1%)

localize50.0ms (0.7%)

series5.0ms (0.1%)

rewrite536.0ms (7.4%)

simplify481.0ms (6.7%)

eval201.0ms (2.8%)

prune107.0ms (1.5%)

regimes21.0ms (0.3%)

regimes9.0ms (0.1%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

regimes44.0ms (0.6%)

regimes5.0ms (0.1%)

bsearch56.0ms (0.8%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness1.0s (14.4%)

preprocess51.0ms (0.7%)

end0.0ms (0%)

Profiling