Metrics for Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, A

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample1.3s (12%)

Memory

24.4MiB live, 1 533.6MiB allocated

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 761.0ms

ival-mult: 310.0ms (40.7% of total)

ival-sub: 194.0ms (25.5% of total)

const: 137.0ms (18% of total)

ival-add: 101.0ms (13.3% of total)

exact: 9.0ms (1.2% of total)

ival-true: 6.0ms (0.8% of total)

ival-assert: 4.0ms (0.5% of total)

Bogosity

preprocess273.0ms (2.4%)

Memory

-28.5MiB live, 176.4MiB allocated

Algorithm

2×	egg-herbie

Rules

1 376×	`accelerator-lowering-fma.f32`
1 376×	`accelerator-lowering-fma.f64`
862×	`sub-neg`
530×	`unsub-neg`
492×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	72
1	82	70
2	209	66
3	666	56
4	1681	54
5	3183	54
6	3711	54
7	3848	54
8	3874	54
9	3878	54
10	3923	54
11	3983	54
12	4007	54
13	4007	54
14	4007	54
0	10	11
1	25	11
2	53	11
3	105	9
4	207	9
5	432	9
6	831	9
7	1224	9
8	1464	9
9	1485	9
0	1485	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)

Outputs
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))

Call 2

Inputs
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)
(+ (- (* (neg x) (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)
(+ (- (* x (- (neg y) 1)) (* (neg y) 1/2)) 918938533204673/1000000000000000)
(neg (+ (- (* (neg x) (- y 1)) (* y 1/2)) 918938533204673/1000000000000000))
(neg (+ (- (* x (- (neg y) 1)) (* (neg y) 1/2)) 918938533204673/1000000000000000))
(+ (- (* y (- x 1)) (* x 1/2)) 918938533204673/1000000000000000)

Outputs
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)
(+ (* y (+ x -1/2)) (- 918938533204673/1000000000000000 x))
(+ (- (* (neg x) (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)
(+ (* y (- -1/2 x)) (+ x 918938533204673/1000000000000000))
(+ (- (* x (- (neg y) 1)) (* (neg y) 1/2)) 918938533204673/1000000000000000)
(+ (* y (- 1/2 x)) (- 918938533204673/1000000000000000 x))
(neg (+ (- (* (neg x) (- y 1)) (* y 1/2)) 918938533204673/1000000000000000))
(+ (* y (+ x 1/2)) (- -918938533204673/1000000000000000 x))
(neg (+ (- (* x (- (neg y) 1)) (* (neg y) 1/2)) 918938533204673/1000000000000000))
(+ (* y (+ x -1/2)) (+ x -918938533204673/1000000000000000))
(+ (- (* y (- x 1)) (* x 1/2)) 918938533204673/1000000000000000)
(+ (* x (+ y -1/2)) (- 918938533204673/1000000000000000 y))

explain287.0ms (2.6%)

Memory

-6.4MiB live, 271.7MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 y #s(literal 1 binary64))`
-	-	`#s(literal 1 binary64)`
-	-	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
-	-	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
-	-	`#s(literal 918938533204673/1000000000000000 binary64)`
-	-	`(*.f64 x (-.f64 y #s(literal 1 binary64)))`
-	-	`y`
-	-	`(*.f64 y #s(literal 1/2 binary64))`
-	-	`#s(literal 1/2 binary64)`
-	-	`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

41.0ms

512×

valid

Compiler

Compiled 102 to 44 computations (56.9% saved)

Precisions

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

const: 9.0ms (37.4% of total)

ival-mult: 6.0ms (24.9% of total)

ival-sub: 5.0ms (20.8% of total)

ival-add: 2.0ms (8.3% of total)

exact: 1.0ms (4.2% of total)

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

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

eval0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB 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
▶	100.0%	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify101.0ms (0.9%)

Memory

34.7MiB live, 113.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 x (-.f64 y #s(literal 1 binary64)))
✓	cost-diff	0	(-.f64 y #s(literal 1 binary64))
✓	cost-diff	192	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
✓	cost-diff	384	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))

Rules

1 376×	`accelerator-lowering-fma.f32`
1 376×	`accelerator-lowering-fma.f64`
352×	`+-lowering-+.f64`
352×	`--lowering--.f32`
352×	`+-lowering-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	25	36
2	53	36
3	105	32
4	207	32
5	432	32
6	831	32
7	1224	32
8	1464	32
9	1485	32
0	1485	31

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)
(- (* x (- y 1)) (* y 1/2))
(* x (- y 1))
x
(- y 1)
y
1
(* y 1/2)
1/2
918938533204673/1000000000000000

Outputs
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(- (* x (- y 1)) (* y 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
x
(- y 1)
(+.f64 y #s(literal -1 binary64))
y
1
#s(literal 1 binary64)
(* y 1/2)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
1/2
#s(literal 1/2 binary64)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)

localize67.0ms (0.6%)

Memory

-21.5MiB live, 60.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y #s(literal 1/2 binary64))
✓	accuracy	100.0%	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
✓	accuracy	100.0%	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 x (-.f64 y #s(literal 1 binary64)))

Samples

55.0ms

256×

valid

Compiler

Compiled 38 to 12 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

const: 4.0ms (34.2% of total)

ival-sub: 3.0ms (25.6% of total)

ival-mult: 3.0ms (25.6% of total)

ival-add: 1.0ms (8.5% 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

12.3MiB live, 12.3MiB allocated

Counts

5 → 96

Calls

Call 1

Inputs
#<alt (- (* x (- y 1)) (* y 1/2))>
#<alt (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)>
#<alt (- y 1)>
#<alt (* x (- y 1))>
#<alt (* y 1/2)>

Outputs
#<alt (* -1/2 y)>
#<alt (- (* x (- y 1)) (* 1/2 y))>
#<alt (- (* x (- y 1)) (* 1/2 y))>
#<alt (- (* x (- y 1)) (* 1/2 y))>
#<alt (* x (- y 1))>
#<alt (* x (- (+ y (* -1/2 (/ y x))) 1))>
#<alt (* x (- (+ y (* -1/2 (/ y x))) 1))>
#<alt (* x (- (+ y (* -1/2 (/ y x))) 1))>
#<alt (* x (- y 1))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* y (- x 1/2)))>
#<alt (+ (* -1 x) (* y (- x 1/2)))>
#<alt (+ (* -1 x) (* y (- x 1/2)))>
#<alt (* y (- x 1/2))>
#<alt (* y (- (+ x (* -1 (/ x y))) 1/2))>
#<alt (* y (- (+ x (* -1 (/ x y))) 1/2))>
#<alt (* y (- (+ x (* -1 (/ x y))) 1/2))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))>
#<alt (- 918938533204673/1000000000000000 (* 1/2 y))>
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))>
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))>
#<alt (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))>
#<alt (* x (- y 1))>
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))>
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))>
#<alt (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))>
#<alt (* x (- y 1))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))>
#<alt (+ 918938533204673/1000000000000000 (* -1 x))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))>
#<alt (* y (- x 1/2))>
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))>
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))>
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))>
#<alt -1>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt y>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* x y))>
#<alt (+ (* -1 x) (* x y))>
#<alt (+ (* -1 x) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(* y 1/2)
1.0ms	y	@	0	(- (* x (- y 1)) (* y 1/2))
1.0ms	x	@	inf	(- (* x (- y 1)) (* y 1/2))
0.0ms	x	@	0	(- (* x (- y 1)) (* y 1/2))
0.0ms	y	@	inf	(- (* x (- y 1)) (* y 1/2))

rewrite547.0ms (4.9%)

Memory

0.4MiB live, 441.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 498×	`accelerator-lowering-fma.f32`
7 498×	`accelerator-lowering-fma.f64`
4 788×	`-lowering-.f32`
4 788×	`-lowering-.f64`
3 354×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	64	31
2	515	31
3	7716	31
0	8245	28

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 384

Calls

Call 1

Inputs
(- (* x (- y 1)) (* y 1/2))
(+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000)
(- y 1)
(* x (- y 1))
(* y 1/2)

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

simplify322.0ms (2.9%)

Memory

-23.6MiB live, 492.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 900×	`accelerator-lowering-fma.f32`
11 900×	`accelerator-lowering-fma.f64`
3 162×	`-lowering-.f32`
3 162×	`-lowering-.f64`
1 298×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	593
1	232	592
2	695	520
3	1795	520
4	6369	520
0	8164	501

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(* -1/2 y)
(- (* x (- y 1)) (* 1/2 y))
(- (* x (- y 1)) (* 1/2 y))
(- (* x (- y 1)) (* 1/2 y))
(* x (- y 1))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(* x (- y 1))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(* -1 x)
(+ (* -1 x) (* y (- x 1/2)))
(+ (* -1 x) (* y (- x 1/2)))
(+ (* -1 x) (* y (- x 1/2)))
(* y (- x 1/2))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(* x (- y 1))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- y 1))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(* y (- x 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
-1
(- y 1)
(- y 1)
(- y 1)
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* -1 x)
(+ (* -1 x) (* x y))
(+ (* -1 x) (* x y))
(+ (* -1 x) (* x y))
(* x y)
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)

Outputs
(* -1/2 y)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 0 binary64))
(- (* x (- y 1)) (* 1/2 y))
(-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(- (* x (- y 1)) (* 1/2 y))
(-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(- (* x (- y 1)) (* 1/2 y))
(-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(+ (* -1 x) (* y (- x 1/2)))
(-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ (* -1 x) (* y (- x 1/2)))
(-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ (* -1 x) (* y (- x 1/2)))
(-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* y (- x 1/2))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* y (+ 1/2 (* -1 x))))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(- 918938533204673/1000000000000000 (* 1/2 y))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* y (- x 1/2))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* y (+ 1/2 (* -1 x))))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
-1
#s(literal -1 binary64)
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- y 1)
(+.f64 y #s(literal -1 binary64))
y
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
y
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(+ (* -1 x) (* x y))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(+ (* -1 x) (* x y))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(+ (* -1 x) (* x y))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* y (+ x (* -1 (/ x y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* y (+ x (* -1 (/ x y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* y (+ x (* -1 (/ x y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))

eval59.0ms (0.5%)

Memory: 28.1MiB live, 145.8MiB allocated
Compiler: Compiled 15 796 to 1 360 computations (91.4% saved)

prune57.0ms (0.5%)

Memory

-14.3MiB live, 146.8MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	472	8	480
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	473	8	481

Accuracy

100.0%

Counts

481 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
	49.3%	(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64))
▶	48.2%	(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
	51.8%	(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
▶	60.7%	(/.f64 (-.f64 (.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) (.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (.f64 (.f64 y y) #s(literal 1/8 binary64)) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)))) (.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))))
	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))))
▶	100.0%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
▶	52.1%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)

Compiler

Compiled 216 to 140 computations (35.2% saved)

simplify545.0ms (4.9%)

Memory

29.6MiB live, 982.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	64	(.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (.f64 (*.f64 y y) #s(literal 1/8 binary64)) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)))
✓	cost-diff	320	(fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))
✓	cost-diff	384	(-.f64 (.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) (.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (.f64 (.f64 y y) #s(literal 1/8 binary64)) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64))))
✓	cost-diff	2112	(/.f64 (-.f64 (.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) (.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (.f64 (.f64 y y) #s(literal 1/8 binary64)) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)))) (.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))))
✓	cost-diff	0	(-.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
✓	cost-diff	0	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
✓	cost-diff	0	(+.f64 y #s(literal -1 binary64))
✓	cost-diff	0	(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
✓	cost-diff	0	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓	cost-diff	0	(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
✓	cost-diff	0	(+.f64 y #s(literal -1 binary64))
✓	cost-diff	192	(fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))

Rules

24 826×	`accelerator-lowering-fma.f32`
24 826×	`accelerator-lowering-fma.f64`
4 012×	`+-lowering-+.f64`
4 012×	`+-lowering-+.f32`
2 700×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	255
1	124	235
2	500	223
3	2118	209
4	6734	209
0	8287	185

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (+ y -1) x) (+ (* y -1/2) 918938533204673/1000000000000000))
(+ y -1)
y
-1
x
(+ (* y -1/2) 918938533204673/1000000000000000)
-1/2
918938533204673/1000000000000000
(- 918938533204673/1000000000000000 x)
918938533204673/1000000000000000
x
(+ (* x (+ y -1)) 0)
x
(+ y -1)
y
-1
0
(- 918938533204673/1000000000000000 (+ (* y (- 1/2 x)) x))
918938533204673/1000000000000000
(+ (* y (- 1/2 x)) x)
y
(- 1/2 x)
1/2
x
(/ (- (* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))) (* (+ y 1) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))))
(- (* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)))
(* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))
(* x (+ (* y y) -1))
x
(+ (* y y) -1)
y
-1
(+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))
(* y 1/4)
1/4
(+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)
918938533204673/2000000000000000
844448027808355901771309036929/1000000000000000000000000000000
(* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))
(+ y 1)
1
(+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)
(* (* y y) 1/8)
(* y y)
1/8
-775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000
(* (+ y 1) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))

Outputs
(+ (* (+ y -1) x) (+ (* y -1/2) 918938533204673/1000000000000000))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(+ y -1)
(+.f64 y #s(literal -1 binary64))
y
-1
#s(literal -1 binary64)
x
(+ (* y -1/2) 918938533204673/1000000000000000)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
-1/2
#s(literal -1/2 binary64)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(- 918938533204673/1000000000000000 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
x
(+ (* x (+ y -1)) 0)
(fma.f64 (+.f64 y #s(literal -1 binary64)) x #s(literal 0 binary64))
x
(+ y -1)
(+.f64 y #s(literal -1 binary64))
y
-1
#s(literal -1 binary64)
0
#s(literal 0 binary64)
(- 918938533204673/1000000000000000 (+ (* y (- 1/2 x)) x))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(+ (* y (- 1/2 x)) x)
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
y
(- 1/2 x)
(-.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
x
(/ (- (* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))) (* (+ y 1) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))))
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (/.f64 (fma.f64 y (.f64 (.f64 y y) #s(literal -1/8 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))
(- (* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)))
(.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 x (.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (fma.f64 y (.f64 (.f64 y y) #s(literal -1/8 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64))))
(* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))
(fma.f64 (fma.f64 x (fma.f64 y y #s(literal -1 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) #s(literal 0 binary64))
(* x (+ (* y y) -1))
(fma.f64 x (fma.f64 y y #s(literal -1 binary64)) #s(literal 0 binary64))
x
(+ (* y y) -1)
(fma.f64 y y #s(literal -1 binary64))
y
-1
#s(literal -1 binary64)
(+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))
(fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))
(* y 1/4)
(*.f64 y #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)
(fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))
918938533204673/2000000000000000
#s(literal 918938533204673/2000000000000000 binary64)
844448027808355901771309036929/1000000000000000000000000000000
#s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)
(* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))
(fma.f64 y (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 1/8 binary64) #s(literal 1/8 binary64)) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64))
(+ y 1)
(+.f64 y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)
(fma.f64 y (.f64 (.f64 y y) #s(literal 1/8 binary64)) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64))
(* (* y y) 1/8)
(.f64 (.f64 y y) #s(literal 1/8 binary64))
(* y y)
(*.f64 y y)
1/8
#s(literal 1/8 binary64)
-775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000
#s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)
(* (+ y 1) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))
(*.f64 (fma.f64 y (fma.f64 y #s(literal 1/4 binary64) #s(literal 918938533204673/2000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (+.f64 y #s(literal 1 binary64)))

localize134.0ms (1.2%)

Memory

-8.7MiB live, 263.7MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))
✓	accuracy	93.4%	(*.f64 x (fma.f64 y y #s(literal -1 binary64)))
✓	accuracy	81.7%	(-.f64 (.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) (.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (.f64 (.f64 y y) #s(literal 1/8 binary64)) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64))))
✓	accuracy	63.3%	(/.f64 (-.f64 (.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) (.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (.f64 (.f64 y y) #s(literal 1/8 binary64)) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)))) (.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))))
✓	accuracy	100.0%	(-.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
✓	accuracy	100.0%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
✓	accuracy	100.0%	(+.f64 y #s(literal -1 binary64))
✓	accuracy	100.0%	(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓	accuracy	100.0%	(+.f64 y #s(literal -1 binary64))
✓	accuracy	100.0%	(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
✓	accuracy	100.0%	(fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))

Samples

76.0ms

256×

valid

Compiler

Compiled 229 to 44 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 20.0ms (35.4% of total)

const: 17.0ms (30.1% of total)

ival-add: 12.0ms (21.2% of total)

ival-sub: 4.0ms (7.1% of total)

ival-div: 2.0ms (3.5% of total)

exact: 1.0ms (1.8% of total)

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

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

series265.0ms (2.4%)

Memory

-165.8MiB live, 48.4MiB allocated

Counts

14 → 264

Calls

Call 1

Inputs
#<alt (+ (* (+ y -1) x) (+ (* y -1/2) 918938533204673/1000000000000000))>
#<alt (+ y -1)>
#<alt (+ (* y -1/2) 918938533204673/1000000000000000)>
#<alt (- 918938533204673/1000000000000000 x)>
#<alt (+ (* x (+ y -1)) 0)>
#<alt (- 918938533204673/1000000000000000 (+ (* y (- 1/2 x)) x))>
#<alt (+ (* y (- 1/2 x)) x)>
#<alt (- 1/2 x)>
#<alt (/ (- (* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))) (* (+ y 1) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))))>
#<alt (- (* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)))>
#<alt (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))>
#<alt (* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))>
#<alt (* x (+ (* y y) -1))>
#<alt (* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))>

Outputs
#<alt (+ 918938533204673/1000000000000000 (* -1 x))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))>
#<alt (* y (- x 1/2))>
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))>
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))>
#<alt (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))>
#<alt (* -1 (* y (+ 1/2 (* -1 x))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))>
#<alt (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))>
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))>
#<alt (+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))>
#<alt (* x (- y 1))>
#<alt (* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))>
#<alt (* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))>
#<alt (* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))>
#<alt (* x (- y 1))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))>
#<alt -1>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt y>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt 918938533204673/1000000000000000>
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))>
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))>
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))>
#<alt (* -1/2 y)>
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#<alt (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))>
#<alt (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))>
#<alt 918938533204673/1000000000000000>
#<alt (+ 918938533204673/1000000000000000 (* -1 x))>
#<alt (+ 918938533204673/1000000000000000 (* -1 x))>
#<alt (+ 918938533204673/1000000000000000 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* x y))>
#<alt (+ (* -1 x) (* x y))>
#<alt (+ (* -1 x) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (- 918938533204673/1000000000000000 x)>
#<alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)>
#<alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)>
#<alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)>
#<alt (* y (- x 1/2))>
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))>
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))>
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))>
#<alt (* -1 (* y (- 1/2 x)))>
#<alt (* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x)))))>
#<alt (* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x)))))>
#<alt (* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x)))))>
#<alt (- 918938533204673/1000000000000000 (* 1/2 y))>
#<alt (- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y))>
#<alt (- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y))>
#<alt (- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))))>
#<alt (* -1 (* x (- 1 y)))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y)))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y)))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y)))>
#<alt x>
#<alt (+ x (* y (- 1/2 x)))>
#<alt (+ x (* y (- 1/2 x)))>
#<alt (+ x (* y (- 1/2 x)))>
#<alt (* y (- 1/2 x))>
#<alt (* y (- (+ 1/2 (/ x y)) x))>
#<alt (* y (- (+ 1/2 (/ x y)) x))>
#<alt (* y (- (+ 1/2 (/ x y)) x))>
#<alt (* y (- 1/2 x))>
#<alt (* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y)))))>
#<alt (* 1/2 y)>
#<alt (+ (* 1/2 y) (* x (+ 1 (* -1 y))))>
#<alt (+ (* 1/2 y) (* x (+ 1 (* -1 y))))>
#<alt (+ (* 1/2 y) (* x (+ 1 (* -1 y))))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* x (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* x (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (- y 1)))>
#<alt (* -1 (* x (- (+ y (* -1/2 (/ y x))) 1)))>
#<alt (* -1 (* x (- (+ y (* -1/2 (/ y x))) 1)))>
#<alt (* -1 (* x (- (+ y (* -1/2 (/ y x))) 1)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1 x))>
#<alt (+ 1/2 (* -1 x))>
#<alt (+ 1/2 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 (/ 1 x)) 1))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1))>
#<alt (* -1 x)>
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#<alt (* -1 (* x (- 1 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (/ (- (* 1/8 (pow y 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y)))))>
#<alt (+ (* -1 (/ (- (* 1/8 (pow y 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))))) (* x (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))))>
#<alt (+ (* -1 (/ (- (* 1/8 (pow y 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))))) (* x (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))))>
#<alt (+ (* -1 (/ (- (* 1/8 (pow y 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))))) (* x (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))))>
#<alt (/ (* x (- (pow y 2) 1)) (+ 1 y))>
#<alt (* x (- (+ (* -1 (/ (- (* 1/8 (pow y 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (* x (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y)))))) (/ (pow y 2) (+ 1 y))) (/ 1 (+ 1 y))))>
#<alt (* x (- (+ (* -1 (/ (- (* 1/8 (pow y 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (* x (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y)))))) (/ (pow y 2) (+ 1 y))) (/ 1 (+ 1 y))))>
#<alt (* x (- (+ (* -1 (/ (- (* 1/8 (pow y 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) (* x (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y)))))) (/ (pow y 2) (+ 1 y))) (/ 1 (+ 1 y))))>
#<alt (/ (* x (- (pow y 2) 1)) (+ 1 y))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (pow y 2) 1) (+ 1 y))) (* 1/8 (/ (pow y 3) (* x (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))))))) (* 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/ 1 (* x (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y)))))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (pow y 2) 1) (+ 1 y))) (* 1/8 (/ (pow y 3) (* x (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))))))) (* 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/ 1 (* x (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y)))))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (pow y 2) 1) (+ 1 y))) (* 1/8 (/ (pow y 3) (* x (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))))))) (* 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/ 1 (* x (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y)))))))))>
#<alt (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x)))>
#<alt (+ (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))) (* y (- (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -918938533204673/2000000000000000 x))) (* 1418938533204673000000000000000000000000000000/775995832041789488711238455368417219672369217 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))))))>
#<alt (+ (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))) (* y (- (+ (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -918938533204673/2000000000000000 x))) (* y (- (* 594448027808355901771309036929/844448027808355901771309036929 x) (+ (* 709469266602336500000000000000000000000000000000000000000000/713092471669421822382614706812434602753285766506341485751041 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))) (* 1418938533204673/918938533204673 (- (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -918938533204673/2000000000000000 x))) (* 1418938533204673000000000000000000000000000000/775995832041789488711238455368417219672369217 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))))))))) (* 1418938533204673000000000000000000000000000000/775995832041789488711238455368417219672369217 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))))))>
#<alt (+ (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))) (* y (- (+ (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -918938533204673/2000000000000000 x))) (* y (- (+ (* 594448027808355901771309036929/844448027808355901771309036929 x) (* y (- (* 1000000000000000000000000000000/844448027808355901771309036929 (- (* 918938533204673/2000000000000000 x) 1/8)) (+ (* 250000000000000000000000000000000000000000000000000000000000/713092471669421822382614706812434602753285766506341485751041 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))) (+ (* 709469266602336500000000000000/844448027808355901771309036929 (- (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -918938533204673/2000000000000000 x))) (* 1418938533204673000000000000000000000000000000/775995832041789488711238455368417219672369217 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))))) (* 1418938533204673/918938533204673 (- (* 594448027808355901771309036929/844448027808355901771309036929 x) (+ (* 709469266602336500000000000000000000000000000000000000000000/713092471669421822382614706812434602753285766506341485751041 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))) (* 1418938533204673/918938533204673 (- (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -918938533204673/2000000000000000 x))) (* 1418938533204673000000000000000000000000000000/775995832041789488711238455368417219672369217 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))))))))))))) (+ (* 709469266602336500000000000000000000000000000000000000000000/713092471669421822382614706812434602753285766506341485751041 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))) (* 1418938533204673/918938533204673 (- (* 1000000000000000000000000000000/844448027808355901771309036929 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -918938533204673/2000000000000000 x))) (* 1418938533204673000000000000000000000000000000/775995832041789488711238455368417219672369217 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))))))))) (* 1418938533204673000000000000000000000000000000/775995832041789488711238455368417219672369217 (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -844448027808355901771309036929/1000000000000000000000000000000 x))))))>
#<alt (* 4 (* y (- (* 1/4 x) 1/8)))>
#<alt (* y (- (+ (* 4 (- (* 1/4 x) 1/8)) (* 4 (/ (- (* 918938533204673/2000000000000000 x) 1/8) y))) (* 1418938533204673/125000000000000 (/ (- (* 1/4 x) 1/8) y))))>
#<alt (* y (- (+ (* 594448027808355901771309036929/250000000000000000000000000000 (/ x (pow y 2))) (+ (* 4 (- (* 1/4 x) 1/8)) (* 4 (/ (- (* 918938533204673/2000000000000000 x) 1/8) y)))) (+ (* 1418938533204673/500000000000000 (/ (- (* 4 (- (* 918938533204673/2000000000000000 x) 1/8)) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8))) (pow y 2))) (+ (* 1418938533204673/125000000000000 (/ (- (* 1/4 x) 1/8) y)) (* 1303917294410692401771309036929/62500000000000000000000000000 (/ (- (* 1/4 x) 1/8) (pow y 2)))))))>
#<alt (* y (- (+ (* 594448027808355901771309036929/250000000000000000000000000000 (/ x (pow y 2))) (+ (* 4 (- (* 1/4 x) 1/8)) (+ (* 4 (/ (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -918938533204673/2000000000000000 x)) (pow y 3))) (* 4 (/ (- (* 918938533204673/2000000000000000 x) 1/8) y))))) (+ (* 1418938533204673/500000000000000 (/ (- (* 594448027808355901771309036929/250000000000000000000000000000 x) (+ (* 1418938533204673/500000000000000 (- (* 4 (- (* 918938533204673/2000000000000000 x) 1/8)) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8)))) (* 1303917294410692401771309036929/62500000000000000000000000000 (- (* 1/4 x) 1/8)))) (pow y 3))) (+ (* 1418938533204673/500000000000000 (/ (- (* 4 (- (* 918938533204673/2000000000000000 x) 1/8)) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8))) (pow y 2))) (+ (* 1303917294410692401771309036929/250000000000000000000000000000 (/ (- (* 4 (- (* 918938533204673/2000000000000000 x) 1/8)) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8))) (pow y 3))) (+ (* 1418938533204673/125000000000000 (/ (- (* 1/4 x) 1/8) y)) (+ (* 844448027808355901771309036929/62500000000000000000000000000 (/ (- (* 1/4 x) 1/8) (pow y 3))) (* 1303917294410692401771309036929/62500000000000000000000000000 (/ (- (* 1/4 x) 1/8) (pow y 2))))))))))>
#<alt (* 4 (* y (- (* 1/4 x) 1/8)))>
#<alt (* -1 (* y (+ (* -4 (- (* 1/4 x) 1/8)) (* -1 (/ (- (* -4 (+ 1/8 (* -918938533204673/2000000000000000 x))) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8))) y)))))>
#<alt (* -1 (* y (+ (* -4 (- (* 1/4 x) 1/8)) (* -1 (/ (- (+ (* -4 (+ 1/8 (* -918938533204673/2000000000000000 x))) (* -1 (/ (- (* -594448027808355901771309036929/250000000000000000000000000000 x) (+ (* -1303917294410692401771309036929/62500000000000000000000000000 (- (* 1/4 x) 1/8)) (* -1418938533204673/500000000000000 (- (* -4 (+ 1/8 (* -918938533204673/2000000000000000 x))) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8)))))) y))) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8))) y)))))>
#<alt (* -1 (* y (+ (* -4 (- (* 1/4 x) 1/8)) (* -1 (/ (- (+ (* -4 (+ 1/8 (* -918938533204673/2000000000000000 x))) (* -1 (/ (- (+ (* -594448027808355901771309036929/250000000000000000000000000000 x) (* -1 (/ (- (* -4 (- (* 918938533204673/2000000000000000 x) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)) (+ (* -1418938533204673/500000000000000 (- (* -594448027808355901771309036929/250000000000000000000000000000 x) (+ (* -1303917294410692401771309036929/62500000000000000000000000000 (- (* 1/4 x) 1/8)) (* -1418938533204673/500000000000000 (- (* -4 (+ 1/8 (* -918938533204673/2000000000000000 x))) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8))))))) (+ (* 1303917294410692401771309036929/250000000000000000000000000000 (- (* -4 (+ 1/8 (* -918938533204673/2000000000000000 x))) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8)))) (* 844448027808355901771309036929/62500000000000000000000000000 (- (* 1/4 x) 1/8))))) y))) (+ (* -1303917294410692401771309036929/62500000000000000000000000000 (- (* 1/4 x) 1/8)) (* -1418938533204673/500000000000000 (- (* -4 (+ 1/8 (* -918938533204673/2000000000000000 x))) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8)))))) y))) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8))) y)))))>
#<alt (* -1 (* (+ 1 y) (- (* 1/8 (pow y 3)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)))>
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#<alt (* x (- (pow y 2) 1))>
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Calls

66 calls:

Time	Variable		Point	Expression
239.0ms	y	@	inf	(/ (- (* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))) (* (+ y 1) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))))
3.0ms	x	@	0	(/ (- (* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))) (* (+ y 1) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))))
3.0ms	y	@	0	(* x (+ (* y y) -1))
2.0ms	y	@	-inf	(/ (- (* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))) (* (+ y 1) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))))
2.0ms	y	@	0	(/ (- (* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))) (* (+ y 1) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))))

rewrite472.0ms (4.2%)

Memory

19.7MiB live, 808.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 620×	`-lowering-.f32`
6 620×	`-lowering-.f64`
4 954×	`accelerator-lowering-fma.f32`
4 954×	`accelerator-lowering-fma.f64`
3 730×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	178
1	296	162
2	3143	162
0	9346	140

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 703

Calls

Call 1

Inputs
(+ (* (+ y -1) x) (+ (* y -1/2) 918938533204673/1000000000000000))
(+ y -1)
(+ (* y -1/2) 918938533204673/1000000000000000)
(- 918938533204673/1000000000000000 x)
(+ (* x (+ y -1)) 0)
(- 918938533204673/1000000000000000 (+ (* y (- 1/2 x)) x))
(+ (* y (- 1/2 x)) x)
(- 1/2 x)
(/ (- (* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))) (* (+ y 1) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))))
(- (* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))) (* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)))
(+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000))
(* (+ y 1) (+ (* y (* (* y y) 1/8)) -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000))
(* x (+ (* y y) -1))
(* (* x (+ (* y y) -1)) (+ (* y (* y 1/4)) (+ (* y 918938533204673/2000000000000000) 844448027808355901771309036929/1000000000000000000000000000000)))

Outputs
(+.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))))
(+.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)))
(+.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(+.f64 (*.f64 y x) (fma.f64 #s(literal -1 binary64) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(+.f64 (fma.f64 y #s(literal -1/2 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 (+.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 0 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)))
(+.f64 (+.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 y x)) (-.f64 #s(literal 0 binary64) x))
(-.f64 (/.f64 (fma.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))) (/.f64 (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) (-.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))))
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simplify495.0ms (4.4%)

Memory

-6.2MiB live, 742.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 366×	`accelerator-lowering-fma.f32`
9 366×	`accelerator-lowering-fma.f64`
4 210×	`-lowering-.f32`
4 210×	`-lowering-.f64`
4 068×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	486	3522
1	1530	3288
2	4846	3213
0	8139	2879

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(* y (- x 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))
(* x (- y 1))
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))
(* x (- y 1))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))
-1
(- y 1)
(- y 1)
(- y 1)
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
918938533204673/1000000000000000
(+ 918938533204673/1000000000000000 (* -1/2 y))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(* -1/2 y)
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(* -1/2 y)
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
918938533204673/1000000000000000
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (* -1 x))
(* -1 x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(* -1 x)
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* -1 x)
(+ (* -1 x) (* x y))
(+ (* -1 x) (* x y))
(+ (* -1 x) (* x y))
(* x y)
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(- 918938533204673/1000000000000000 x)
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(* y (- x 1/2))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(* -1 (* y (- 1/2 x)))
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x)))))
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x)))))
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x)))))
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y))
(* -1 (* x (+ 1 (* -1 y))))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) (+ 1 (+ (* -1 y) (* 1/2 (/ y x))))))
(* -1 (* x (- 1 y)))
(* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y)))
(* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y)))
(* -1 (* x (- (+ 1 (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x))) y)))
x
(+ x (* y (- 1/2 x)))
(+ x (* y (- 1/2 x)))
(+ x (* y (- 1/2 x)))
(* y (- 1/2 x))
(* y (- (+ 1/2 (/ x y)) x))
(* y (- (+ 1/2 (/ x y)) x))
(* y (- (+ 1/2 (/ x y)) x))
(* y (- 1/2 x))
(* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y)))))
(* 1/2 y)
(+ (* 1/2 y) (* x (+ 1 (* -1 y))))
(+ (* 1/2 y) (* x (+ 1 (* -1 y))))
(+ (* 1/2 y) (* x (+ 1 (* -1 y))))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))
(* x (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))
(* x (+ 1 (+ (* -1 y) (* 1/2 (/ y x)))))
(* -1 (* x (- y 1)))
(* -1 (* x (- (+ y (* -1/2 (/ y x))) 1)))
(* -1 (* x (- (+ y (* -1/2 (/ y x))) 1)))
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1/2
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(/ (* x (- (pow y 2) 1)) (+ 1 y))
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(* 4 (* y (- (* 1/4 x) 1/8)))
(* y (- (+ (* 4 (- (* 1/4 x) 1/8)) (* 4 (/ (- (* 918938533204673/2000000000000000 x) 1/8) y))) (* 1418938533204673/125000000000000 (/ (- (* 1/4 x) 1/8) y))))
(* y (- (+ (* 594448027808355901771309036929/250000000000000000000000000000 (/ x (pow y 2))) (+ (* 4 (- (* 1/4 x) 1/8)) (* 4 (/ (- (* 918938533204673/2000000000000000 x) 1/8) y)))) (+ (* 1418938533204673/500000000000000 (/ (- (* 4 (- (* 918938533204673/2000000000000000 x) 1/8)) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8))) (pow y 2))) (+ (* 1418938533204673/125000000000000 (/ (- (* 1/4 x) 1/8) y)) (* 1303917294410692401771309036929/62500000000000000000000000000 (/ (- (* 1/4 x) 1/8) (pow y 2)))))))
(* y (- (+ (* 594448027808355901771309036929/250000000000000000000000000000 (/ x (pow y 2))) (+ (* 4 (- (* 1/4 x) 1/8)) (+ (* 4 (/ (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -918938533204673/2000000000000000 x)) (pow y 3))) (* 4 (/ (- (* 918938533204673/2000000000000000 x) 1/8) y))))) (+ (* 1418938533204673/500000000000000 (/ (- (* 594448027808355901771309036929/250000000000000000000000000000 x) (+ (* 1418938533204673/500000000000000 (- (* 4 (- (* 918938533204673/2000000000000000 x) 1/8)) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8)))) (* 1303917294410692401771309036929/62500000000000000000000000000 (- (* 1/4 x) 1/8)))) (pow y 3))) (+ (* 1418938533204673/500000000000000 (/ (- (* 4 (- (* 918938533204673/2000000000000000 x) 1/8)) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8))) (pow y 2))) (+ (* 1303917294410692401771309036929/250000000000000000000000000000 (/ (- (* 4 (- (* 918938533204673/2000000000000000 x) 1/8)) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8))) (pow y 3))) (+ (* 1418938533204673/125000000000000 (/ (- (* 1/4 x) 1/8) y)) (+ (* 844448027808355901771309036929/62500000000000000000000000000 (/ (- (* 1/4 x) 1/8) (pow y 3))) (* 1303917294410692401771309036929/62500000000000000000000000000 (/ (- (* 1/4 x) 1/8) (pow y 2))))))))))
(* 4 (* y (- (* 1/4 x) 1/8)))
(* -1 (* y (+ (* -4 (- (* 1/4 x) 1/8)) (* -1 (/ (- (* -4 (+ 1/8 (* -918938533204673/2000000000000000 x))) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8))) y)))))
(* -1 (* y (+ (* -4 (- (* 1/4 x) 1/8)) (* -1 (/ (- (+ (* -4 (+ 1/8 (* -918938533204673/2000000000000000 x))) (* -1 (/ (- (* -594448027808355901771309036929/250000000000000000000000000000 x) (+ (* -1303917294410692401771309036929/62500000000000000000000000000 (- (* 1/4 x) 1/8)) (* -1418938533204673/500000000000000 (- (* -4 (+ 1/8 (* -918938533204673/2000000000000000 x))) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8)))))) y))) (* 1418938533204673/125000000000000 (- (* 1/4 x) 1/8))) y)))))
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(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1)))
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(+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+ (* -844448027808355901771309036929/1000000000000000000000000000000 x) (* y (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -918938533204673/2000000000000000 x)))))
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(* (pow y 4) (- (* 1/4 x) 1/8))
(* (pow y 4) (- (+ (* 1/4 x) (* 918938533204673/2000000000000000 (/ x y))) (+ 1/8 (* 1/8 (/ 1 y)))))
(* (pow y 4) (- (+ (* 1/4 x) (+ (* 918938533204673/2000000000000000 (/ x y)) (* 594448027808355901771309036929/1000000000000000000000000000000 (/ x (pow y 2))))) (+ 1/8 (* 1/8 (/ 1 y)))))
(* (pow y 4) (- (+ (* -918938533204673/2000000000000000 (/ x (pow y 3))) (+ (* 1/4 x) (+ (* 918938533204673/2000000000000000 (/ x y)) (+ (* 594448027808355901771309036929/1000000000000000000000000000000 (/ x (pow y 2))) (* 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/ 1 (pow y 3))))))) (+ 1/8 (* 1/8 (/ 1 y)))))
(* (pow y 4) (- (* 1/4 x) 1/8))
(* (pow y 4) (- (+ (* -1 (/ (+ 1/8 (* -918938533204673/2000000000000000 x)) y)) (* 1/4 x)) 1/8))
(* (pow y 4) (- (+ (* -1 (/ (+ 1/8 (+ (* -594448027808355901771309036929/1000000000000000000000000000000 (/ x y)) (* -918938533204673/2000000000000000 x))) y)) (* 1/4 x)) 1/8))
(* (pow y 4) (- (+ (* -1 (/ (+ 1/8 (+ (* -1 (/ (+ (* -1 (/ (- (* 918938533204673/2000000000000000 x) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000) y)) (* 594448027808355901771309036929/1000000000000000000000000000000 x)) y)) (* -918938533204673/2000000000000000 x))) y)) (* 1/4 x)) 1/8))
844448027808355901771309036929/1000000000000000000000000000000
(+ 844448027808355901771309036929/1000000000000000000000000000000 (* 918938533204673/2000000000000000 y))
(+ 844448027808355901771309036929/1000000000000000000000000000000 (* y (+ 918938533204673/2000000000000000 (* 1/4 y))))
(+ 844448027808355901771309036929/1000000000000000000000000000000 (* y (+ 918938533204673/2000000000000000 (* 1/4 y))))
(* 1/4 (pow y 2))
(* (pow y 2) (+ 1/4 (* 918938533204673/2000000000000000 (/ 1 y))))
(* (pow y 2) (+ 1/4 (+ (/ 844448027808355901771309036929/1000000000000000000000000000000 (pow y 2)) (* 918938533204673/2000000000000000 (/ 1 y)))))
(* (pow y 2) (+ 1/4 (+ (/ 844448027808355901771309036929/1000000000000000000000000000000 (pow y 2)) (* 918938533204673/2000000000000000 (/ 1 y)))))
(* 1/4 (pow y 2))
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(* (pow y 2) (+ 1/4 (+ (/ 844448027808355901771309036929/1000000000000000000000000000000 (pow y 2)) (* 918938533204673/2000000000000000 (/ 1 y)))))
(* (pow y 2) (+ 1/4 (+ (/ 844448027808355901771309036929/1000000000000000000000000000000 (pow y 2)) (* 918938533204673/2000000000000000 (/ 1 y)))))
-775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000
(- (* -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 y) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)
(- (* y (- (* 1/8 (pow y 2)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)
(- (* y (- (* (pow y 2) (+ 1/8 (* 1/8 y))) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)) 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000)
(* 1/8 (pow y 4))
(* (pow y 4) (+ 1/8 (* 1/8 (/ 1 y))))
(* (pow y 4) (- (+ 1/8 (* 1/8 (/ 1 y))) (/ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow y 3))))
(* (pow y 4) (+ 1/8 (+ (* -1 (/ (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/ 1 y))) (pow y 3))) (* 1/8 (/ 1 y)))))
(* 1/8 (pow y 4))
(* (pow y 4) (+ 1/8 (* 1/8 (/ 1 y))))
(* (pow y 4) (+ 1/8 (* -1 (/ (- (* 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/ 1 (pow y 2))) 1/8) y))))
(* (pow y 4) (+ 1/8 (* -1 (/ (- (+ (/ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow y 3)) (* 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/ 1 (pow y 2)))) 1/8) y))))
(* x (- (pow y 2) 1))
(* x (- (pow y 2) 1))
(* x (- (pow y 2) 1))
(* x (- (pow y 2) 1))
(* x (- (pow y 2) 1))
(* x (- (pow y 2) 1))
(* x (- (pow y 2) 1))
(* x (- (pow y 2) 1))
(* x (- (pow y 2) 1))
(* x (- (pow y 2) 1))
(* x (- (pow y 2) 1))
(* x (- (pow y 2) 1))
(* -1 x)
(+ (* -1 x) (* x (pow y 2)))
(+ (* -1 x) (* x (pow y 2)))
(+ (* -1 x) (* x (pow y 2)))
(* x (pow y 2))
(* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))
(* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))
(* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))
(* x (pow y 2))
(* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))
(* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))
(* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1)))
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1)))
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1)))
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1)))
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1)))
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1)))
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1)))
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1)))
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1)))
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1)))
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1)))
(* x (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 1/4 (pow y 2)) (* 918938533204673/2000000000000000 y))) (- (pow y 2) 1)))
(* -844448027808355901771309036929/1000000000000000000000000000000 x)
(+ (* -844448027808355901771309036929/1000000000000000000000000000000 x) (* -918938533204673/2000000000000000 (* x y)))
(+ (* -844448027808355901771309036929/1000000000000000000000000000000 x) (* y (+ (* -918938533204673/2000000000000000 x) (* 594448027808355901771309036929/1000000000000000000000000000000 (* x y)))))
(+ (* -844448027808355901771309036929/1000000000000000000000000000000 x) (* y (+ (* -918938533204673/2000000000000000 x) (* y (+ (* 918938533204673/2000000000000000 (* x y)) (* 594448027808355901771309036929/1000000000000000000000000000000 x))))))
(* 1/4 (* x (pow y 4)))
(* (pow y 4) (+ (* 1/4 x) (* 918938533204673/2000000000000000 (/ x y))))
(* (pow y 4) (+ (* 1/4 x) (+ (* 918938533204673/2000000000000000 (/ x y)) (* 594448027808355901771309036929/1000000000000000000000000000000 (/ x (pow y 2))))))
(* (pow y 4) (+ (* -918938533204673/2000000000000000 (/ x (pow y 3))) (+ (* 1/4 x) (+ (* 918938533204673/2000000000000000 (/ x y)) (* 594448027808355901771309036929/1000000000000000000000000000000 (/ x (pow y 2)))))))
(* 1/4 (* x (pow y 4)))
(* (pow y 4) (+ (* 1/4 x) (* 918938533204673/2000000000000000 (/ x y))))
(* (pow y 4) (+ (* -1 (/ (+ (* -594448027808355901771309036929/1000000000000000000000000000000 (/ x y)) (* -918938533204673/2000000000000000 x)) y)) (* 1/4 x)))
(* (pow y 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -918938533204673/2000000000000000 (/ x y)) (* 594448027808355901771309036929/1000000000000000000000000000000 x)) y)) (* -918938533204673/2000000000000000 x)) y)) (* 1/4 x)))

Outputs
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal -1/2 binary64))))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal -1/2 binary64))))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal -1/2 binary64))))
(* -1 (* y (+ 1/2 (* -1 x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal -1/2 binary64))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal -1/2 binary64))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal -1/2 binary64))))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* x (- y 1))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x))))
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x))))
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x))))
(* x (- y 1))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x))))
-1
#s(literal -1 binary64)
(- y 1)
(+.f64 #s(literal -1 binary64) y)
(- y 1)
(+.f64 #s(literal -1 binary64) y)
(- y 1)
(+.f64 #s(literal -1 binary64) y)
y
(* y (- 1 (/ 1 y)))
(+.f64 #s(literal -1 binary64) y)
(* y (- 1 (/ 1 y)))
(+.f64 #s(literal -1 binary64) y)
(* y (- 1 (/ 1 y)))
(+.f64 #s(literal -1 binary64) y)
y
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 #s(literal -1 binary64) y)
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 #s(literal -1 binary64) y)
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 #s(literal -1 binary64) y)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(+ 918938533204673/1000000000000000 (* -1/2 y))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -918938533204673/1000000000000000 binary64) y)) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -918938533204673/1000000000000000 binary64) y)) (-.f64 #s(literal 0 binary64) y))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -918938533204673/1000000000000000 binary64) y)) (-.f64 #s(literal 0 binary64) y))
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -918938533204673/1000000000000000 binary64) x)))
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -918938533204673/1000000000000000 binary64) x)))
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -918938533204673/1000000000000000 binary64) x)))
(* x (- y 1))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
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(*.f64 x (+.f64 #s(literal -1 binary64) y))
(* x (- y 1))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(* x (- y 1))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(* x (- y 1))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(* x (- y 1))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(* x (- y 1))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(* x (- y 1))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(* x (- y 1))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(* x (- y 1))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(* x (- y 1))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(* x (- y 1))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(+ (* -1 x) (* x y))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(+ (* -1 x) (* x y))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(+ (* -1 x) (* x y))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (/ x y))))
(*.f64 y (-.f64 x (/.f64 x y)))
(* y (+ x (* -1 (/ x y))))
(*.f64 y (-.f64 x (/.f64 x y)))
(* y (+ x (* -1 (/ x y))))
(*.f64 y (-.f64 x (/.f64 x y)))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(*.f64 y (-.f64 x (/.f64 x y)))
(* -1 (* y (+ (* -1 x) (/ x y))))
(*.f64 y (-.f64 x (/.f64 x y)))
(* -1 (* y (+ (* -1 x) (/ x y))))
(*.f64 y (-.f64 x (/.f64 x y)))
(- 918938533204673/1000000000000000 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* y (- x 1/2))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal -1/2 binary64))))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal -1/2 binary64))))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal -1/2 binary64))))
(* -1 (* y (- 1/2 x)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
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(*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal -1/2 binary64))))
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x)))))
(*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal -1/2 binary64))))
(* -1 (* y (- (* -1 (/ (- 918938533204673/1000000000000000 x) y)) (* -1 (- 1/2 x)))))
(*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal -1/2 binary64))))
(- 918938533204673/1000000000000000 (* 1/2 y))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(- (+ 918938533204673/1000000000000000 (* -1 (* x (+ 1 (* -1 y))))) (* 1/2 y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(* -1 (* x (+ 1 (* -1 y))))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
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(*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x))))
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(*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x))))
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(* -1 (* x (- 1 y)))
(*.f64 x (+.f64 #s(literal -1 binary64) y))
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(*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x))))
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(*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x))))
x
(+ x (* y (- 1/2 x)))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(+ x (* y (- 1/2 x)))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(+ x (* y (- 1/2 x)))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(* y (- 1/2 x))
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
(* y (- (+ 1/2 (/ x y)) x))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 x y) x)))
(* y (- (+ 1/2 (/ x y)) x))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 x y) x)))
(* y (- (+ 1/2 (/ x y)) x))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 x y) x)))
(* y (- 1/2 x))
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
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(*.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 x y) x)))
(* -1 (* y (+ (* -1 (- 1/2 x)) (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 x y) x)))
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(*.f64 y (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 x y) x)))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(+ (* 1/2 y) (* x (+ 1 (* -1 y))))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
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(.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 x #s(literal 1/4 binary64)) (/.f64 (fma.f64 x #s(literal -918938533204673/2000000000000000 binary64) (*.f64 (/.f64 x y) #s(literal -594448027808355901771309036929/1000000000000000000000000000000 binary64))) y)))
(* (pow y 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -918938533204673/2000000000000000 (/ x y)) (* 594448027808355901771309036929/1000000000000000000000000000000 x)) y)) (* -918938533204673/2000000000000000 x)) y)) (* 1/4 x)))
(.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 x #s(literal 1/4 binary64)) (/.f64 (-.f64 (.f64 x #s(literal -918938533204673/2000000000000000 binary64)) (/.f64 (.f64 x (+.f64 #s(literal 594448027808355901771309036929/1000000000000000000000000000000 binary64) (/.f64 #s(literal -918938533204673/2000000000000000 binary64) y))) y)) y)))

eval151.0ms (1.4%)

Memory: -3.7MiB live, 346.8MiB allocated
Compiler: Compiled 47 041 to 2 897 computations (93.8% saved)

prune120.0ms (1.1%)

Memory

18.5MiB live, 301.6MiB allocated

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	1 036	10	1 046
Fresh	3	0	3
Picked	3	2	5
Done	0	0	0
Total	1 042	12	1 054

Accuracy

100.0%

Counts

1 054 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.5%	(fma.f64 y x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
▶	48.2%	(fma.f64 y x (-.f64 #s(literal 0 binary64) x))
	51.8%	(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
	50.8%	(/.f64 (fma.f64 x #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))))
✓	100.0%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
✓	52.1%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
	25.8%	(-.f64 #s(literal 0 binary64) x)
	48.2%	(*.f64 (+.f64 y #s(literal -1 binary64)) x)
▶	88.5%	(*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal -1/2 binary64))))
▶	49.3%	(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
▶	24.6%	(*.f64 x y)
▶	28.1%	#s(literal 918938533204673/1000000000000000 binary64)

Compiler

Compiled 181 to 131 computations (27.6% saved)

simplify277.0ms (2.5%)

Memory

-4.4MiB live, 351.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) x)
✓	cost-diff	0	(fma.f64 y x (-.f64 #s(literal 0 binary64) x))
✓	cost-diff	-64	(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
✓	cost-diff	0	(+.f64 x #s(literal -1/2 binary64))
✓	cost-diff	-64	(*.f64 x y)
✓	cost-diff	0	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
✓	cost-diff	0	(+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal -1/2 binary64)))
✓	cost-diff	832	(*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal -1/2 binary64))))

Rules

7 748×	`accelerator-lowering-fma.f32`
7 748×	`accelerator-lowering-fma.f64`
2 258×	`-lowering-.f32`
2 258×	`-lowering-.f64`
1 242×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	63
1	41	62
2	87	62
3	188	62
4	422	60
5	886	60
6	1704	60
7	3801	60
8	5708	60
9	7332	60
10	7795	60
0	8025	59

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* y (+ (/ (- 918938533204673/1000000000000000 x) y) (+ x -1/2)))
y
(+ (/ (- 918938533204673/1000000000000000 x) y) (+ x -1/2))
(/ (- 918938533204673/1000000000000000 x) y)
(- 918938533204673/1000000000000000 x)
918938533204673/1000000000000000
x
(+ x -1/2)
-1/2
918938533204673/1000000000000000
(* x y)
x
y
(* y (+ x -1/2))
y
(+ x -1/2)
x
-1/2
(+ (* y x) (- 0 x))
y
x
(- 0 x)
0

Outputs
(* y (+ (/ (- 918938533204673/1000000000000000 x) y) (+ x -1/2)))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
y
(+ (/ (- 918938533204673/1000000000000000 x) y) (+ x -1/2))
(+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))
(/ (- 918938533204673/1000000000000000 x) y)
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(- 918938533204673/1000000000000000 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
x
(+ x -1/2)
(+.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(* x y)
(fma.f64 y x #s(literal 0 binary64))
x
y
(* y (+ x -1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
y
(+ x -1/2)
(+.f64 x #s(literal -1/2 binary64))
x
-1/2
#s(literal -1/2 binary64)
(+ (* y x) (- 0 x))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
y
x
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)

localize53.0ms (0.5%)

Memory

8.5MiB live, 82.8MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 y x (-.f64 #s(literal 0 binary64) x))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) x)
✓	accuracy	100.0%	(+.f64 x #s(literal -1/2 binary64))
✓	accuracy	100.0%	(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓	accuracy	100.0%	(+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
✓	accuracy	88.5%	(*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal -1/2 binary64))))

Samples

33.0ms

256×

valid

Compiler

Compiled 66 to 17 computations (74.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 6.0ms (31.6% of total)

const: 5.0ms (26.4% of total)

ival-add: 3.0ms (15.8% of total)

ival-div: 2.0ms (10.5% of total)

ival-sub: 2.0ms (10.5% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

9 → 180

Calls

Call 1

Inputs
#<alt (* y (+ (/ (- 918938533204673/1000000000000000 x) y) (+ x -1/2)))>
#<alt (+ (/ (- 918938533204673/1000000000000000 x) y) (+ x -1/2))>
#<alt (/ (- 918938533204673/1000000000000000 x) y)>
#<alt (- 918938533204673/1000000000000000 x)>
#<alt (* x y)>
#<alt (+ x -1/2)>
#<alt (* y (+ x -1/2))>
#<alt (+ (* y x) (- 0 x))>
#<alt (- 0 x)>

Outputs
#<alt (- 918938533204673/1000000000000000 x)>
#<alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)>
#<alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)>
#<alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)>
#<alt (* y (- x 1/2))>
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))>
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))>
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))>
#<alt (* y (- x 1/2))>
#<alt (* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))>
#<alt (* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))>
#<alt (+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)))>
#<alt (+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)))>
#<alt (+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)))>
#<alt (* x (* y (- 1 (/ 1 y))))>
#<alt (* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)))>
#<alt (* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)))>
#<alt (* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)))>
#<alt (* -1 (* x (* y (- (/ 1 y) 1))))>
#<alt (* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1)))))>
#<alt (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)>
#<alt (- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2)>
#<alt (- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2)>
#<alt (- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2)>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y))))>
#<alt (* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y))))>
#<alt (* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y))))>
#<alt (* -1 (* x (- (/ 1 y) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1)))>
#<alt (/ (- 918938533204673/1000000000000000 x) y)>
#<alt (/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y)>
#<alt (/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y)>
#<alt (/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y)>
#<alt (- x 1/2)>
#<alt (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))>
#<alt (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))>
#<alt (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))>
#<alt (- x 1/2)>
#<alt (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))>
#<alt (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))>
#<alt (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))>
#<alt (/ 918938533204673/1000000000000000 y)>
#<alt (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))>
#<alt (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))>
#<alt (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))>
#<alt (* -1 (/ x y))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 (* x y))) (/ 1 y)))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 (* x y))) (/ 1 y)))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 (* x y))) (/ 1 y)))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (* x (- (/ 1 y) (* 918938533204673/1000000000000000 (/ 1 (* x y))))))>
#<alt (* -1 (* x (- (/ 1 y) (* 918938533204673/1000000000000000 (/ 1 (* x y))))))>
#<alt (* -1 (* x (- (/ 1 y) (* 918938533204673/1000000000000000 (/ 1 (* x y))))))>
#<alt (/ (- 918938533204673/1000000000000000 x) y)>
#<alt (/ (- 918938533204673/1000000000000000 x) y)>
#<alt (/ (- 918938533204673/1000000000000000 x) y)>
#<alt (/ (- 918938533204673/1000000000000000 x) y)>
#<alt (/ (- 918938533204673/1000000000000000 x) y)>
#<alt (/ (- 918938533204673/1000000000000000 x) y)>
#<alt (/ (- 918938533204673/1000000000000000 x) y)>
#<alt (/ (- 918938533204673/1000000000000000 x) y)>
#<alt (/ (- 918938533204673/1000000000000000 x) y)>
#<alt (/ (- 918938533204673/1000000000000000 x) y)>
#<alt (/ (- 918938533204673/1000000000000000 x) y)>
#<alt (/ (- 918938533204673/1000000000000000 x) y)>
#<alt 918938533204673/1000000000000000>
#<alt (+ 918938533204673/1000000000000000 (* -1 x))>
#<alt (+ 918938533204673/1000000000000000 (* -1 x))>
#<alt (+ 918938533204673/1000000000000000 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))>
#<alt (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 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)>
#<alt -1/2>
#<alt (- x 1/2)>
#<alt (- x 1/2)>
#<alt (- x 1/2)>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1 (* 1/2 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* y (- x 1/2))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* x y))>
#<alt (+ (* -1/2 y) (* x y))>
#<alt (+ (* -1/2 y) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* -1/2 (/ y x))))>
#<alt (* x (+ y (* -1/2 (/ y x))))>
#<alt (* x (+ y (* -1/2 (/ y x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))>
#<alt (* -1 x)>
#<alt (- (* x y) x)>
#<alt (- (* x y) x)>
#<alt (- (* x y) x)>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<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)>

Calls

45 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(* y (+ (/ (- 918938533204673/1000000000000000 x) y) (+ x -1/2)))
1.0ms	y	@	-inf	(* y (+ (/ (- 918938533204673/1000000000000000 x) y) (+ x -1/2)))
0.0ms	x	@	inf	(* y (+ (/ (- 918938533204673/1000000000000000 x) y) (+ x -1/2)))
0.0ms	y	@	0	(* y (+ (/ (- 918938533204673/1000000000000000 x) y) (+ x -1/2)))
0.0ms	y	@	inf	(* y (+ (/ (- 918938533204673/1000000000000000 x) y) (+ x -1/2)))

rewrite497.0ms (4.4%)

Memory

-25.3MiB live, 703.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 528×	`-lowering-.f32`
5 528×	`-lowering-.f64`
5 194×	`accelerator-lowering-fma.f32`
5 194×	`accelerator-lowering-fma.f64`
3 940×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	47
1	111	46
2	1127	46
0	8279	45

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 736

Calls

Call 1

Inputs
(* y (+ (/ (- 918938533204673/1000000000000000 x) y) (+ x -1/2)))
(+ (/ (- 918938533204673/1000000000000000 x) y) (+ x -1/2))
(/ (- 918938533204673/1000000000000000 x) y)
(- 918938533204673/1000000000000000 x)
(* x y)
(+ x -1/2)
(* y (+ x -1/2))
(+ (* y x) (- 0 x))
(- 0 x)

Outputs
(+.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64)))
(+.f64 (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64)) (.f64 y (+.f64 x #s(literal -1/2 binary64))))
(+.f64 (.f64 y (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))) (.f64 y #s(literal -1/2 binary64)))
(+.f64 (.f64 (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) y) (.f64 y #s(literal -1/2 binary64)))
(+.f64 (fma.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64) (fma.f64 y x #s(literal 0 binary64))) (*.f64 y #s(literal -1/2 binary64)))
(-.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64))) (-.f64 (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64)) (.f64 y (+.f64 x #s(literal -1/2 binary64))))) (/.f64 (.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) (.f64 y (+.f64 x #s(literal -1/2 binary64)))) (-.f64 (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64)) (.f64 y (+.f64 x #s(literal -1/2 binary64))))))
(fma.f64 y (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
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(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (-.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 (.f64 y (.f64 x (fma.f64 y x #s(literal 0 binary64)))) #s(literal 0 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (fma.f64 (.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 y (.f64 x (fma.f64 y x #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (.f64 y (.f64 x (fma.f64 y x #s(literal 0 binary64)))) #s(literal 0 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 y (.f64 x (fma.f64 y x #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))))))
(/.f64 (fma.f64 (.f64 x (fma.f64 x x #s(literal 0 binary64))) (-.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (-.f64 (.f64 y (.f64 x (fma.f64 y x #s(literal 0 binary64)))) #s(literal 0 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (-.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 y (.f64 x (fma.f64 y x #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (.f64 y (.f64 x (fma.f64 y x #s(literal 0 binary64)))) #s(literal 0 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 y (.f64 x (fma.f64 y x #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))))))
(/.f64 (fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (-.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (.f64 y (.f64 x (fma.f64 y x #s(literal 0 binary64)))) #s(literal 0 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 y x #s(literal 0 binary64)) x) y (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) x))))
(/.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 y (.f64 x (fma.f64 y x #s(literal 0 binary64)))))) (neg.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 y x #s(literal 0 binary64)))))
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(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x (fma.f64 y x #s(literal 0 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x (fma.f64 y x #s(literal 0 binary64))) (-.f64 x (fma.f64 y x #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (-.f64 x (fma.f64 y x #s(literal 0 binary64)))))))
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(pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 y x #s(literal 0 binary64))) (.f64 y (.f64 x (fma.f64 y x #s(literal 0 binary64))))) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) (.f64 (fma.f64 y x #s(literal 0 binary64)) (.f64 y (*.f64 x (fma.f64 y x #s(literal 0 binary64))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 (*.f64 (fma.f64 y x #s(literal 0 binary64)) x) y (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))) #s(literal -1 binary64))
(.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) (.f64 (fma.f64 y x #s(literal 0 binary64)) (.f64 y (.f64 x (fma.f64 y x #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 y x #s(literal 0 binary64))) (.f64 y (.f64 x (fma.f64 y x #s(literal 0 binary64)))))))
(.f64 (fma.f64 (.f64 (fma.f64 y x #s(literal 0 binary64)) x) y (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) x)))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))
(+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) x))
(-.f64 (/.f64 #s(literal 0 binary64) x) x)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))))) (-.f64 #s(literal 0 binary64) x))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))))
(fma.f64 x (/.f64 x x) #s(literal 0 binary64))
(fma.f64 x (/.f64 (-.f64 #s(literal 0 binary64) x) x) #s(literal 0 binary64))
(fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x)) (/.f64 x (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x)) (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))
(fma.f64 (/.f64 x x) x #s(literal 0 binary64))
(fma.f64 (/.f64 x (-.f64 #s(literal 0 binary64) x)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) x)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) x) x #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3/2 binary64)) x) (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3/2 binary64)) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) x)) (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))
(neg.f64 x)
(/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (.f64 x (fma.f64 x x #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (.f64 x (fma.f64 x x #s(literal 0 binary64))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) x)
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 3 binary64)) (.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x (.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)) (.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 0 binary64) x) (fma.f64 x x (.f64 (/.f64 #s(literal 0 binary64) x) x))))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1 binary64))
(*.f64 x (/.f64 x x))
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) x) x))
(.f64 (.f64 x (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x)) (/.f64 x (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x)) (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 x x) x)
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) x)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x))
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) x)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) x) x)
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3/2 binary64)) x) (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3/2 binary64)) x))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) x)) (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) x)))

simplify348.0ms (3.1%)

Memory

37.5MiB live, 506.0MiB allocated

Algorithm

1×	egg-herbie

Rules

10 910×	`accelerator-lowering-fma.f32`
10 910×	`accelerator-lowering-fma.f64`
2 842×	`-lowering-.f32`
2 842×	`-lowering-.f64`
1 916×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	1049
1	332	963
2	939	879
3	2943	879
4	7550	879
0	8028	860

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
(- 918938533204673/1000000000000000 x)
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(* y (- x 1/2))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(* y (- x 1/2))
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)))
(+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)))
(+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)))
(* x (* y (- 1 (/ 1 y))))
(* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)))
(* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)))
(* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)))
(* -1 (* x (* y (- (/ 1 y) 1))))
(* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1)))))
(* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1)))))
(* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1)))))
(- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)
(- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2)
(- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2)
(- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2)
(* x (- 1 (/ 1 y)))
(* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y))))
(* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y))))
(* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y))))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1)))
(/ (- 918938533204673/1000000000000000 x) y)
(/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y)
(/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y)
(/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y)
(- x 1/2)
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))
(- x 1/2)
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))
(/ 918938533204673/1000000000000000 y)
(+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))
(+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))
(+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))
(* -1 (/ x y))
(* x (- (* 918938533204673/1000000000000000 (/ 1 (* x y))) (/ 1 y)))
(* x (- (* 918938533204673/1000000000000000 (/ 1 (* x y))) (/ 1 y)))
(* x (- (* 918938533204673/1000000000000000 (/ 1 (* x y))) (/ 1 y)))
(* -1 (/ x y))
(* -1 (* x (- (/ 1 y) (* 918938533204673/1000000000000000 (/ 1 (* x y))))))
(* -1 (* x (- (/ 1 y) (* 918938533204673/1000000000000000 (/ 1 (* x y))))))
(* -1 (* x (- (/ 1 y) (* 918938533204673/1000000000000000 (/ 1 (* x y))))))
(/ (- 918938533204673/1000000000000000 x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/ (- 918938533204673/1000000000000000 x) y)
918938533204673/1000000000000000
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (* -1 x))
(* -1 x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(* -1 x)
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 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)
-1/2
(- x 1/2)
(- x 1/2)
(- x 1/2)
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (- 1 (* 1/2 (/ 1 x))))
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* y (- x 1/2))
(* -1/2 y)
(+ (* -1/2 y) (* x y))
(+ (* -1/2 y) (* x y))
(+ (* -1/2 y) (* x y))
(* x y)
(* x (+ y (* -1/2 (/ y x))))
(* x (+ y (* -1/2 (/ y x))))
(* x (+ y (* -1/2 (/ y x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(* -1 x)
(- (* x y) x)
(- (* x y) x)
(- (* x y) x)
(* x y)
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)

Outputs
(- 918938533204673/1000000000000000 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* y (- x 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* y (- x 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* x (* y (- 1 (/ 1 y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1 (* x (* y (- (/ 1 y) 1))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1)))))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1)))))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1)))))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)
(+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))
(- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2)
(+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))
(- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2)
(+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))
(- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2)
(+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y))))
(+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))
(* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y))))
(+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))
(* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y))))
(+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))
(* -1 (* x (- (/ 1 y) 1)))
(-.f64 x (/.f64 x y))
(* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1)))
(+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))
(* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1)))
(+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))
(* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1)))
(+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))
(/ (- 918938533204673/1000000000000000 x) y)
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y)
(+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))
(/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y)
(+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))
(/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y)
(+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))
(- x 1/2)
(+.f64 x #s(literal -1/2 binary64))
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))
(+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))
(+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))
(+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))
(- x 1/2)
(+.f64 x #s(literal -1/2 binary64))
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))
(+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))
(+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))
(+.f64 x (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal -1/2 binary64)))
(/ 918938533204673/1000000000000000 y)
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)
(+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(* -1 (/ x y))
(/.f64 x (-.f64 #s(literal 0 binary64) y))
(* x (- (* 918938533204673/1000000000000000 (/ 1 (* x y))) (/ 1 y)))
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(* x (- (* 918938533204673/1000000000000000 (/ 1 (* x y))) (/ 1 y)))
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(* x (- (* 918938533204673/1000000000000000 (/ 1 (* x y))) (/ 1 y)))
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(* -1 (/ x y))
(/.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (* x (- (/ 1 y) (* 918938533204673/1000000000000000 (/ 1 (* x y))))))
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(* -1 (* x (- (/ 1 y) (* 918938533204673/1000000000000000 (/ 1 (* x y))))))
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(* -1 (* x (- (/ 1 y) (* 918938533204673/1000000000000000 (/ 1 (* x y))))))
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(/ (- 918938533204673/1000000000000000 x) y)
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(-.f64 #s(literal 918938533204673/1000000000000000 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))
-1/2
#s(literal -1/2 binary64)
(- x 1/2)
(+.f64 x #s(literal -1/2 binary64))
(- x 1/2)
(+.f64 x #s(literal -1/2 binary64))
(- x 1/2)
(+.f64 x #s(literal -1/2 binary64))
x
(* x (- 1 (* 1/2 (/ 1 x))))
(+.f64 x #s(literal -1/2 binary64))
(* x (- 1 (* 1/2 (/ 1 x))))
(+.f64 x #s(literal -1/2 binary64))
(* x (- 1 (* 1/2 (/ 1 x))))
(+.f64 x #s(literal -1/2 binary64))
x
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/2 binary64))
(* y (- x 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- x 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- x 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- x 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- x 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- x 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- x 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- x 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- x 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- x 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- x 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- x 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
(+ (* -1/2 y) (* x y))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(+ (* -1/2 y) (* x y))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(+ (* -1/2 y) (* x y))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x (+ y (* -1/2 (/ y x))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* x (+ y (* -1/2 (/ y x))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* x (+ y (* -1/2 (/ y x))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(- (* x y) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(- (* x y) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(- (* x y) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (* -1 (/ x y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* y (+ x (* -1 (/ x y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* y (+ x (* -1 (/ x y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* -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)

eval124.0ms (1.1%)

Memory: -23.3MiB live, 248.0MiB allocated
Compiler: Compiled 27 832 to 2 874 computations (89.7% saved)

prune109.0ms (1%)

Memory

21.7MiB live, 260.2MiB allocated

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	946	5	951
Fresh	3	2	5
Picked	2	3	5
Done	0	2	2
Total	951	12	963

Accuracy

100.0%

Counts

963 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.4%	(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
▶	48.2%	(fma.f64 y x (neg.f64 x))
▶	51.8%	(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
✓	100.0%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
✓	52.1%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
▶	25.8%	(-.f64 #s(literal 0 binary64) x)
▶	88.5%	(*.f64 y (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (-.f64 (/.f64 x y) (+.f64 x #s(literal -1/2 binary64)))))
	51.7%	(*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)))
✓	49.3%	(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
▶	25.6%	(*.f64 y #s(literal -1/2 binary64))
✓	24.6%	(*.f64 x y)
✓	28.1%	#s(literal 918938533204673/1000000000000000 binary64)

Compiler

Compiled 140 to 100 computations (28.6% saved)

simplify760.0ms (6.8%)

Memory

11.9MiB live, 720.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(neg.f64 x)
✓	cost-diff	0	(fma.f64 y x (neg.f64 x))
✓	cost-diff	0	(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
✓	cost-diff	-64	(*.f64 y #s(literal -1/2 binary64))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) x)
✓	cost-diff	0	(-.f64 (/.f64 x y) (+.f64 x #s(literal -1/2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)
✓	cost-diff	0	(-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (-.f64 (/.f64 x y) (+.f64 x #s(literal -1/2 binary64))))
✓	cost-diff	1536	(*.f64 y (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (-.f64 (/.f64 x y) (+.f64 x #s(literal -1/2 binary64)))))

Rules

23 160×	`accelerator-lowering-fma.f32`
23 160×	`accelerator-lowering-fma.f64`
2 252×	`-lowering-.f32`
2 252×	`-lowering-.f64`
2 128×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	70
1	35	70
2	86	70
3	236	70
4	665	67
5	1654	66
6	3106	66
7	4824	66
8	6178	66
9	6766	66
10	7034	66
11	7074	66
12	7082	66
13	7318	66
14	7367	66
15	7391	66
16	7442	66
17	7452	66
18	7464	66
19	7542	66
20	7908	66
21	7908	66
0	8554	64

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* y (- (/ 918938533204673/1000000000000000 y) (- (/ x y) (+ x -1/2))))
y
(- (/ 918938533204673/1000000000000000 y) (- (/ x y) (+ x -1/2)))
(/ 918938533204673/1000000000000000 y)
918938533204673/1000000000000000
(- (/ x y) (+ x -1/2))
(/ x y)
x
(+ x -1/2)
-1/2
(- 0 x)
0
x
(* y -1/2)
y
-1/2
(+ (* y -1/2) 918938533204673/1000000000000000)
y
-1/2
918938533204673/1000000000000000
(+ (* y x) (neg x))
y
x
(neg x)

Outputs
(* y (- (/ 918938533204673/1000000000000000 y) (- (/ x y) (+ x -1/2))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
y
(- (/ 918938533204673/1000000000000000 y) (- (/ x y) (+ x -1/2)))
(+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (+.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(/ 918938533204673/1000000000000000 y)
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(- (/ x y) (+ x -1/2))
(+.f64 (-.f64 (/.f64 x y) x) #s(literal 1/2 binary64))
(/ x y)
(/.f64 x y)
x
(+ x -1/2)
(+.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
x
(* y -1/2)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
y
-1/2
#s(literal -1/2 binary64)
(+ (* y -1/2) 918938533204673/1000000000000000)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
y
-1/2
#s(literal -1/2 binary64)
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(+ (* y x) (neg x))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
y
x
(neg x)
(-.f64 #s(literal 0 binary64) x)

localize62.0ms (0.6%)

Memory

-4.0MiB live, 113.5MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 y x (neg.f64 x))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
✓	accuracy	100.0%	(*.f64 y #s(literal -1/2 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) x)
✓	accuracy	100.0%	(-.f64 (/.f64 x y) (+.f64 x #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (-.f64 (/.f64 x y) (+.f64 x #s(literal -1/2 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)
✓	accuracy	88.5%	(*.f64 y (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (-.f64 (/.f64 x y) (+.f64 x #s(literal -1/2 binary64)))))

Samples

35.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 72 to 19 computations (73.6% saved)

Precisions

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

const: 7.0ms (29.6% of total)

ival-div: 4.0ms (16.9% of total)

ival-mult: 4.0ms (16.9% of total)

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

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

ival-neg: 1.0ms (4.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0%)

Memory

9.5MiB live, 9.5MiB allocated

Counts

9 → 156

Calls

Call 1

Inputs
#<alt (* y (- (/ 918938533204673/1000000000000000 y) (- (/ x y) (+ x -1/2))))>
#<alt (- (/ 918938533204673/1000000000000000 y) (- (/ x y) (+ x -1/2)))>
#<alt (/ 918938533204673/1000000000000000 y)>
#<alt (- (/ x y) (+ x -1/2))>
#<alt (- 0 x)>
#<alt (* y -1/2)>
#<alt (+ (* y -1/2) 918938533204673/1000000000000000)>
#<alt (+ (* y x) (neg x))>
#<alt (neg x)>

Outputs
#<alt (- 918938533204673/1000000000000000 x)>
#<alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)>
#<alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)>
#<alt (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)>
#<alt (* y (- x 1/2))>
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))>
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))>
#<alt (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))>
#<alt (* y (- x 1/2))>
#<alt (* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))>
#<alt (+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)))>
#<alt (+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)))>
#<alt (+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)))>
#<alt (* x (* y (- 1 (/ 1 y))))>
#<alt (* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)))>
#<alt (* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)))>
#<alt (* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)))>
#<alt (* -1 (* x (* y (- (/ 1 y) 1))))>
#<alt (* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1)))))>
#<alt (/ (- 918938533204673/1000000000000000 x) y)>
#<alt (/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y)>
#<alt (/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y)>
#<alt (/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y)>
#<alt (- x 1/2)>
#<alt (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))>
#<alt (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))>
#<alt (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))>
#<alt (- x 1/2)>
#<alt (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)>
#<alt (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)>
#<alt (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)>
#<alt (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)>
#<alt (- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2)>
#<alt (- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2)>
#<alt (- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2)>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y))))>
#<alt (* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y))))>
#<alt (* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y))))>
#<alt (* -1 (* x (- (/ 1 y) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1)))>
#<alt (/ 918938533204673/1000000000000000 y)>
#<alt (/ 918938533204673/1000000000000000 y)>
#<alt (/ 918938533204673/1000000000000000 y)>
#<alt (/ 918938533204673/1000000000000000 y)>
#<alt (/ 918938533204673/1000000000000000 y)>
#<alt (/ 918938533204673/1000000000000000 y)>
#<alt (/ 918938533204673/1000000000000000 y)>
#<alt (/ 918938533204673/1000000000000000 y)>
#<alt (/ 918938533204673/1000000000000000 y)>
#<alt (/ 918938533204673/1000000000000000 y)>
#<alt (/ 918938533204673/1000000000000000 y)>
#<alt (/ 918938533204673/1000000000000000 y)>
#<alt 1/2>
#<alt (+ 1/2 (* x (- (/ 1 y) 1)))>
#<alt (+ 1/2 (* x (- (/ 1 y) 1)))>
#<alt (+ 1/2 (* x (- (/ 1 y) 1)))>
#<alt (* x (- (/ 1 y) 1))>
#<alt (* x (- (+ (* 1/2 (/ 1 x)) (/ 1 y)) 1))>
#<alt (* x (- (+ (* 1/2 (/ 1 x)) (/ 1 y)) 1))>
#<alt (* x (- (+ (* 1/2 (/ 1 x)) (/ 1 y)) 1))>
#<alt (* -1 (* x (- 1 (/ 1 y))))>
#<alt (* -1 (* x (- 1 (+ (* 1/2 (/ 1 x)) (/ 1 y)))))>
#<alt (* -1 (* x (- 1 (+ (* 1/2 (/ 1 x)) (/ 1 y)))))>
#<alt (* -1 (* x (- 1 (+ (* 1/2 (/ 1 x)) (/ 1 y)))))>
#<alt (/ x y)>
#<alt (/ (+ x (* y (- 1/2 x))) y)>
#<alt (/ (+ x (* y (- 1/2 x))) y)>
#<alt (/ (+ x (* y (- 1/2 x))) y)>
#<alt (- 1/2 x)>
#<alt (- (+ 1/2 (/ x y)) x)>
#<alt (- (+ 1/2 (/ x y)) x)>
#<alt (- (+ 1/2 (/ x y)) x)>
#<alt (- 1/2 x)>
#<alt (- (+ 1/2 (/ x y)) x)>
#<alt (- (+ 1/2 (/ x y)) x)>
#<alt (- (+ 1/2 (/ x y)) 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 (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt 918938533204673/1000000000000000>
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))>
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))>
#<alt (+ 918938533204673/1000000000000000 (* -1/2 y))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))>
#<alt (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))>
#<alt (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))>
#<alt (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))>
#<alt (* -1 x)>
#<alt (- (* x y) x)>
#<alt (- (* x y) x)>
#<alt (- (* x y) x)>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<alt (* -1 (* x (+ 1 (* -1 y))))>
#<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)>

Calls

39 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(* y (- (/ 918938533204673/1000000000000000 y) (- (/ x y) (+ x -1/2))))
0.0ms	y	@	inf	(* y (- (/ 918938533204673/1000000000000000 y) (- (/ x y) (+ x -1/2))))
0.0ms	y	@	0	(/ 918938533204673/1000000000000000 y)
0.0ms	y	@	-inf	(/ 918938533204673/1000000000000000 y)
0.0ms	y	@	inf	(/ 918938533204673/1000000000000000 y)

rewrite636.0ms (5.7%)

Memory

-41.4MiB live, 614.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 174×	`accelerator-lowering-fma.f32`
7 174×	`accelerator-lowering-fma.f64`
4 196×	`/-lowering-/.f32`
4 196×	`/-lowering-/.f64`
2 934×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	51
1	123	47
2	1369	45
0	9010	43

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 493

Calls

Call 1

Inputs
(* y (- (/ 918938533204673/1000000000000000 y) (- (/ x y) (+ x -1/2))))
(- (/ 918938533204673/1000000000000000 y) (- (/ x y) (+ x -1/2)))
(/ 918938533204673/1000000000000000 y)
(- (/ x y) (+ x -1/2))
(- 0 x)
(* y -1/2)
(+ (* y -1/2) 918938533204673/1000000000000000)
(+ (* y x) (neg x))
(neg x)

Outputs
(+.f64 (/.f64 y (.f64 y #s(literal 1000000000000000/918938533204673 binary64))) (.f64 y (+.f64 (/.f64 x y) (+.f64 #s(literal -1/2 binary64) x))))
(+.f64 (.f64 y (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) (.f64 y (+.f64 #s(literal -1/2 binary64) x)))
(+.f64 (.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) y) (.f64 (+.f64 (/.f64 x y) (+.f64 #s(literal -1/2 binary64) x)) y))
(+.f64 (.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) y) (.f64 (+.f64 #s(literal -1/2 binary64) x) y))
(fma.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (*.f64 y (+.f64 (/.f64 x y) (+.f64 #s(literal -1/2 binary64) x))))
(fma.f64 y (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (*.f64 y (+.f64 #s(literal -1/2 binary64) x)))
(fma.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) y (*.f64 (+.f64 (/.f64 x y) (+.f64 #s(literal -1/2 binary64) x)) y))
(fma.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) y (*.f64 (+.f64 #s(literal -1/2 binary64) x) y))
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (/.f64 x y) (+.f64 x #s(literal 1/2 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 y y))) (.f64 y (.f64 (fma.f64 (+.f64 (/.f64 x y) (+.f64 x #s(literal 1/2 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 y y))) (+.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal 1/2 binary64))) (.f64 y (.f64 (+.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal 1/2 binary64))) (+.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (/.f64 x y) (+.f64 x #s(literal 1/2 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 y y))) (.f64 (.f64 (fma.f64 (+.f64 (/.f64 x y) (+.f64 x #s(literal 1/2 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 y y))) (+.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 (+.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal 1/2 binary64))) (+.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))) y)))
(/.f64 (.f64 y (.f64 (fma.f64 (+.f64 (/.f64 x y) (+.f64 x #s(literal 1/2 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 y y))) (+.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))) (fma.f64 (+.f64 (/.f64 x y) (+.f64 x #s(literal 1/2 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 y y))))
(/.f64 (.f64 y (.f64 (+.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal 1/2 binary64))) (+.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))) (+.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal 1/2 binary64))))
(/.f64 (.f64 (.f64 (fma.f64 (+.f64 (/.f64 x y) (+.f64 x #s(literal 1/2 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 y y))) (+.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))) y) (fma.f64 (+.f64 (/.f64 x y) (+.f64 x #s(literal 1/2 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 y y))))
(/.f64 (.f64 (.f64 (+.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal 1/2 binary64))) (+.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))) y) (+.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 y (.f64 (fma.f64 (+.f64 (/.f64 x y) (+.f64 x #s(literal 1/2 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 y y))) (+.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))))) (-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 (/.f64 x y) (+.f64 x #s(literal 1/2 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 y y)))))
(/.f64 (neg.f64 (.f64 y (.f64 (+.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal 1/2 binary64))) (+.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 (+.f64 (/.f64 x y) (+.f64 x #s(literal 1/2 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 y y))) (+.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))) y)) (-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 (/.f64 x y) (+.f64 x #s(literal 1/2 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 y y)))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal 1/2 binary64))) (+.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))) y)) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 y (.f64 y #s(literal 1000000000000000/918938533204673 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 y (+.f64 (/.f64 x y) (+.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 y (.f64 y #s(literal 1000000000000000/918938533204673 binary64))) (/.f64 y (.f64 y #s(literal 1000000000000000/918938533204673 binary64))) (-.f64 (.f64 (.f64 y (+.f64 (/.f64 x y) (+.f64 #s(literal -1/2 binary64) x))) (.f64 y (+.f64 (/.f64 x y) (+.f64 #s(literal -1/2 binary64) x)))) (.f64 (/.f64 y (.f64 y #s(literal 1000000000000000/918938533204673 binary64))) (.f64 y (+.f64 (/.f64 x y) (+.f64 #s(literal -1/2 binary64) x)))))))
(/.f64 (+.f64 (pow.f64 (.f64 y (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) #s(literal 3 binary64)) (pow.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (.f64 y (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) (.f64 y (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) (-.f64 (.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) x)) (.f64 y (+.f64 #s(literal -1/2 binary64) x))) (.f64 (.f64 y (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) (.f64 y (+.f64 #s(literal -1/2 binary64) x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) y) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 (/.f64 x y) (+.f64 #s(literal -1/2 binary64) x)) y) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) y) (.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) y) (-.f64 (.f64 (.f64 (+.f64 (/.f64 x y) (+.f64 #s(literal -1/2 binary64) x)) y) (.f64 (+.f64 (/.f64 x y) (+.f64 #s(literal -1/2 binary64) x)) y)) (.f64 (.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) y) (.f64 (+.f64 (/.f64 x y) (+.f64 #s(literal -1/2 binary64) x)) y)))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) y) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 #s(literal -1/2 binary64) x) y) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) y) (.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) y) (-.f64 (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) x) y) (.f64 (+.f64 #s(literal -1/2 binary64) x) y)) (.f64 (.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) y) (.f64 (+.f64 #s(literal -1/2 binary64) x) y)))))
(/.f64 (-.f64 (.f64 (/.f64 y (.f64 y #s(literal 1000000000000000/918938533204673 binary64))) (/.f64 y (.f64 y #s(literal 1000000000000000/918938533204673 binary64)))) (.f64 (.f64 y (+.f64 (/.f64 x y) (+.f64 #s(literal -1/2 binary64) x))) (.f64 y (+.f64 (/.f64 x y) (+.f64 #s(literal -1/2 binary64) x))))) (-.f64 (/.f64 y (.f64 y #s(literal 1000000000000000/918938533204673 binary64))) (.f64 y (+.f64 (/.f64 x y) (+.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (-.f64 (.f64 (.f64 y (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) (.f64 y (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))) (.f64 (.f64 y (+.f64 #s(literal -1/2 binary64) x)) (.f64 y (+.f64 #s(literal -1/2 binary64) x)))) (-.f64 (.f64 y (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) (.f64 y (+.f64 #s(literal -1/2 binary64) x))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) y) (.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) y)) (.f64 (.f64 (+.f64 (/.f64 x y) (+.f64 #s(literal -1/2 binary64) x)) y) (.f64 (+.f64 (/.f64 x y) (+.f64 #s(literal -1/2 binary64) x)) y))) (-.f64 (.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) y) (.f64 (+.f64 (/.f64 x y) (+.f64 #s(literal -1/2 binary64) x)) y)))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) y) (.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) y)) (.f64 (.f64 (+.f64 #s(literal -1/2 binary64) x) y) (.f64 (+.f64 #s(literal -1/2 binary64) x) y))) (-.f64 (.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) y) (.f64 (+.f64 #s(literal -1/2 binary64) x) y)))
(*.f64 y (+.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))
(*.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) y)
(.f64 (.f64 y (.f64 (fma.f64 (+.f64 (/.f64 x y) (+.f64 x #s(literal 1/2 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 y y))) (+.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 x y) (+.f64 x #s(literal 1/2 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y y)))))
(.f64 (.f64 y (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal 1/2 binary64))) (+.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal 1/2 binary64)))))
(.f64 (.f64 (.f64 (fma.f64 (+.f64 (/.f64 x y) (+.f64 x #s(literal 1/2 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 y y))) (+.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))) y) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 x y) (+.f64 x #s(literal 1/2 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y y)))))
(.f64 (.f64 (*.f64 (+.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal 1/2 binary64))) (+.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))) y) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal 1/2 binary64)))))
(+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (+.f64 (/.f64 x y) (+.f64 #s(literal -1/2 binary64) x)))
(+.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))
(+.f64 (+.f64 (/.f64 x y) (+.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y))
(+.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 #s(literal -1/2 binary64) x))
(+.f64 (/.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (.f64 y (.f64 y y))) (fma.f64 (+.f64 (/.f64 x y) (+.f64 x #s(literal 1/2 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 y y)))) (neg.f64 (/.f64 (.f64 (+.f64 (/.f64 x y) (+.f64 x #s(literal 1/2 binary64))) (.f64 (+.f64 (/.f64 x y) (+.f64 x #s(literal 1/2 binary64))) (+.f64 (/.f64 x y) (+.f64 x #s(literal 1/2 binary64))))) (fma.f64 (+.f64 (/.f64 x y) (+.f64 x #s(literal 1/2 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 y y))))))
(+.f64 (/.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 y y)) (+.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (.f64 (+.f64 (/.f64 x y) (+.f64 x #s(literal 1/2 binary64))) (+.f64 (/.f64 x y) (+.f64 x #s(literal 1/2 binary64)))) (+.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal 1/2 binary64))))))
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(.f64 (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (.f64 y (.f64 y (fma.f64 x x #s(literal 0 binary64)))) (.f64 x (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x x) (fma.f64 y x x) (*.f64 y (fma.f64 x x #s(literal 0 binary64))))))
(.f64 (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (.f64 y (.f64 y (fma.f64 x x #s(literal 0 binary64)))) (.f64 x (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 y (.f64 y (fma.f64 x x #s(literal 0 binary64))) (.f64 y (fma.f64 x x #s(literal 0 binary64)))))))
(*.f64 #s(literal 1 binary64) (fma.f64 y x x))
(.f64 (.f64 (fma.f64 y x x) (fma.f64 y x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (.f64 y (.f64 y (fma.f64 x x #s(literal 0 binary64)))) (.f64 x (fma.f64 x x #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y x x) (fma.f64 y x x) (*.f64 y (fma.f64 x x #s(literal 0 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (fma.f64 y x x) (fma.f64 y x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) (/.f64 (fma.f64 y x x) (/.f64 #s(literal 1 binary64) (fma.f64 y x x))))
(.f64 (-.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 y (*.f64 y (fma.f64 x x #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 y x #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 y x x) x) (/.f64 (fma.f64 y x x) (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 y x x) x) (/.f64 (fma.f64 y x x) (+.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 y x x) x) (/.f64 (fma.f64 y x x) (+.f64 #s(literal -1 binary64) y)))
(.f64 (/.f64 (fma.f64 y x x) (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (.f64 y (.f64 y (fma.f64 x x #s(literal 0 binary64)))) (.f64 x (fma.f64 x x #s(literal 0 binary64))))) (/.f64 (fma.f64 y x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x x) (fma.f64 y x x) (*.f64 y (fma.f64 x x #s(literal 0 binary64)))))))
x
(+.f64 #s(literal 0 binary64) x)
(+.f64 x #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) x)
(fma.f64 x #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 x (/.f64 x x) #s(literal 0 binary64))
(fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 x x) x #s(literal 0 binary64))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(neg.f64 x)
(/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (fma.f64 x x #s(literal 0 binary64)) x)
(/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 x (/.f64 x x))
(.f64 (.f64 x (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 0 binary64)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 x x) x)
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x))
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 x x #s(literal 0 binary64))))

simplify502.0ms (4.5%)

Memory

4.4MiB live, 520.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 012×	`accelerator-lowering-fma.f32`
8 012×	`accelerator-lowering-fma.f64`
2 376×	`-lowering-.f32`
2 376×	`-lowering-.f64`
1 736×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	1001
1	299	951
2	859	851
3	2753	815
4	5941	815
0	8096	784

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
(- 918938533204673/1000000000000000 x)
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(* y (- x 1/2))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(* y (- x 1/2))
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)))
(+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)))
(+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)))
(* x (* y (- 1 (/ 1 y))))
(* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)))
(* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)))
(* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)))
(* -1 (* x (* y (- (/ 1 y) 1))))
(* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1)))))
(* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1)))))
(* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1)))))
(/ (- 918938533204673/1000000000000000 x) y)
(/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y)
(/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y)
(/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y)
(- x 1/2)
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))
(- x 1/2)
(- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)
(- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)
(- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)
(- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)
(- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2)
(- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2)
(- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2)
(* x (- 1 (/ 1 y)))
(* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y))))
(* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y))))
(* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y))))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1)))
(/ 918938533204673/1000000000000000 y)
(/ 918938533204673/1000000000000000 y)
(/ 918938533204673/1000000000000000 y)
(/ 918938533204673/1000000000000000 y)
(/ 918938533204673/1000000000000000 y)
(/ 918938533204673/1000000000000000 y)
(/ 918938533204673/1000000000000000 y)
(/ 918938533204673/1000000000000000 y)
(/ 918938533204673/1000000000000000 y)
(/ 918938533204673/1000000000000000 y)
(/ 918938533204673/1000000000000000 y)
(/ 918938533204673/1000000000000000 y)
1/2
(+ 1/2 (* x (- (/ 1 y) 1)))
(+ 1/2 (* x (- (/ 1 y) 1)))
(+ 1/2 (* x (- (/ 1 y) 1)))
(* x (- (/ 1 y) 1))
(* x (- (+ (* 1/2 (/ 1 x)) (/ 1 y)) 1))
(* x (- (+ (* 1/2 (/ 1 x)) (/ 1 y)) 1))
(* x (- (+ (* 1/2 (/ 1 x)) (/ 1 y)) 1))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- 1 (+ (* 1/2 (/ 1 x)) (/ 1 y)))))
(* -1 (* x (- 1 (+ (* 1/2 (/ 1 x)) (/ 1 y)))))
(* -1 (* x (- 1 (+ (* 1/2 (/ 1 x)) (/ 1 y)))))
(/ x y)
(/ (+ x (* y (- 1/2 x))) y)
(/ (+ x (* y (- 1/2 x))) y)
(/ (+ x (* y (- 1/2 x))) y)
(- 1/2 x)
(- (+ 1/2 (/ x y)) x)
(- (+ 1/2 (/ x y)) x)
(- (+ 1/2 (/ x y)) x)
(- 1/2 x)
(- (+ 1/2 (/ x y)) x)
(- (+ 1/2 (/ x y)) x)
(- (+ 1/2 (/ x y)) 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)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
918938533204673/1000000000000000
(+ 918938533204673/1000000000000000 (* -1/2 y))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(* -1/2 y)
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(* -1/2 y)
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(* -1 x)
(- (* x y) x)
(- (* x y) x)
(- (* x y) x)
(* x y)
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)

Outputs
(- 918938533204673/1000000000000000 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* y (- x 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* y (- x 1/2))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y)))))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(+ (* x (* y (- 1 (/ 1 y)))) (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* x (* y (- 1 (/ 1 y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* x (+ (* y (- 1 (/ 1 y))) (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1 (* x (* y (- (/ 1 y) 1))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1)))))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1)))))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(* -1 (* x (+ (* -1 (/ (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)) x)) (* y (- (/ 1 y) 1)))))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(/ (- 918938533204673/1000000000000000 x) y)
(/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)
(/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y)
(+.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))
(/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y)
(+.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))
(/ (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x) y)
(+.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))
(- x 1/2)
(+.f64 x #s(literal -1/2 binary64))
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))
(+.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))
(+.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))
(- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y)))
(+.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))
(- x 1/2)
(+.f64 x #s(literal -1/2 binary64))
(- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)
(+.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))
(- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)
(+.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))
(- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2)
(+.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))
(- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2)
(-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -918938533204673/1000000000000000 binary64) y))
(- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2)
(+.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))
(- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2)
(+.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))
(- (+ (* 918938533204673/1000000000000000 (/ 1 y)) (* x (- 1 (/ 1 y)))) 1/2)
(+.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y))))
(+.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))
(* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y))))
(+.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))
(* x (- (+ 1 (/ 918938533204673/1000000000000000 (* x y))) (+ (* 1/2 (/ 1 x)) (/ 1 y))))
(+.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))
(* -1 (* x (- (/ 1 y) 1)))
(-.f64 x (/.f64 x y))
(* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1)))
(+.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))
(* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1)))
(+.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))
(* -1 (* x (- (+ (* -1 (/ (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2) x)) (/ 1 y)) 1)))
(+.f64 (+.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))
(/ 918938533204673/1000000000000000 y)
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)
(/ 918938533204673/1000000000000000 y)
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)
(/ 918938533204673/1000000000000000 y)
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)
(/ 918938533204673/1000000000000000 y)
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)
(/ 918938533204673/1000000000000000 y)
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)
(/ 918938533204673/1000000000000000 y)
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)
(/ 918938533204673/1000000000000000 y)
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)
(/ 918938533204673/1000000000000000 y)
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)
(/ 918938533204673/1000000000000000 y)
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)
(/ 918938533204673/1000000000000000 y)
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)
(/ 918938533204673/1000000000000000 y)
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)
(/ 918938533204673/1000000000000000 y)
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* x (- (/ 1 y) 1)))
(+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 x y) x))
(+ 1/2 (* x (- (/ 1 y) 1)))
(+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 x y) x))
(+ 1/2 (* x (- (/ 1 y) 1)))
(+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 x y) x))
(* x (- (/ 1 y) 1))
(-.f64 (/.f64 x y) x)
(* x (- (+ (* 1/2 (/ 1 x)) (/ 1 y)) 1))
(+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 x y) x))
(* x (- (+ (* 1/2 (/ 1 x)) (/ 1 y)) 1))
(+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 x y) x))
(* x (- (+ (* 1/2 (/ 1 x)) (/ 1 y)) 1))
(+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 x y) x))
(* -1 (* x (- 1 (/ 1 y))))
(-.f64 (/.f64 x y) x)
(* -1 (* x (- 1 (+ (* 1/2 (/ 1 x)) (/ 1 y)))))
(+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 x y) x))
(* -1 (* x (- 1 (+ (* 1/2 (/ 1 x)) (/ 1 y)))))
(+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 x y) x))
(* -1 (* x (- 1 (+ (* 1/2 (/ 1 x)) (/ 1 y)))))
(+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 x y) x))
(/ x y)
(/.f64 x y)
(/ (+ x (* y (- 1/2 x))) y)
(-.f64 (/.f64 (fma.f64 y #s(literal 1/2 binary64) x) y) x)
(/ (+ x (* y (- 1/2 x))) y)
(-.f64 (/.f64 (fma.f64 y #s(literal 1/2 binary64) x) y) x)
(/ (+ x (* y (- 1/2 x))) y)
(-.f64 (/.f64 (fma.f64 y #s(literal 1/2 binary64) x) y) x)
(- 1/2 x)
(-.f64 #s(literal 1/2 binary64) x)
(- (+ 1/2 (/ x y)) x)
(+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 x y) x))
(- (+ 1/2 (/ x y)) x)
(+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 x y) x))
(- (+ 1/2 (/ x y)) x)
(+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 x y) x))
(- 1/2 x)
(-.f64 #s(literal 1/2 binary64) x)
(- (+ 1/2 (/ x y)) x)
(+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 x y) x))
(- (+ 1/2 (/ x y)) x)
(+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 x y) x))
(- (+ 1/2 (/ x y)) x)
(+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 x y) 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)
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
918938533204673/1000000000000000
#s(literal 918938533204673/1000000000000000 binary64)
(+ 918938533204673/1000000000000000 (* -1/2 y))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(- (* x y) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(- (* x y) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(- (* x y) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (* -1 (/ x y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* y (+ x (* -1 (/ x y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* y (+ x (* -1 (/ x y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (/ x y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (- y 1))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ 1 (* -1 y))))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* -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)

eval102.0ms (0.9%)

Memory: 25.6MiB live, 178.1MiB allocated
Compiler: Compiled 15 895 to 1 565 computations (90.2% saved)

prune212.0ms (1.9%)

Memory

-22.5MiB live, 192.6MiB allocated

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	645	4	649
Fresh	1	1	2
Picked	2	3	5
Done	0	5	5
Total	648	13	661

Accuracy

100.0%

Counts

661 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.4%	(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
✓	48.2%	(fma.f64 y x (neg.f64 x))
✓	51.8%	(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
✓	100.0%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
✓	52.1%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
	40.7%	(*.f64 y (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (/.f64 x y)))
	51.7%	(*.f64 y (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal 1/2 binary64)))
✓	49.3%	(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
✓	25.6%	(*.f64 y #s(literal -1/2 binary64))
✓	24.6%	(*.f64 x y)
	25.8%	(neg.f64 x)
	2.7%	x
✓	28.1%	#s(literal 918938533204673/1000000000000000 binary64)

Compiler

Compiled 304 to 134 computations (55.9% saved)

regimes38.0ms (0.3%)

Memory

4.3MiB live, 75.7MiB allocated

Counts

28 → 1

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)
x
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x y)
(*.f64 y #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(*.f64 (+.f64 y #s(literal -1 binary64)) x)
(fma.f64 y x (neg.f64 x))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 y x (-.f64 #s(literal 0 binary64) x))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64))
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 y x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)))
(*.f64 y (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal 1/2 binary64)))
(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal -1/2 binary64))))
(*.f64 y (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (/.f64 x y)))
(*.f64 y (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (-.f64 (/.f64 x y) (+.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))))
(/.f64 (fma.f64 x #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) (.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (.f64 (.f64 y y) #s(literal 1/8 binary64)) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)))) (.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (.f64 y #s(literal 1/4 binary64)) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))))

Outputs
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))

Calls

4 calls:

10.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
10.0ms	x
8.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
8.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
100.0%	1	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes25.0ms (0.2%)

Memory

21.1MiB live, 60.2MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)
x
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x y)
(*.f64 y #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(*.f64 (+.f64 y #s(literal -1 binary64)) x)
(fma.f64 y x (neg.f64 x))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 y x (-.f64 #s(literal 0 binary64) x))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64))
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 y x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))

Outputs
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))

Calls

4 calls:

7.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
6.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
6.0ms	x
6.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
100.0%	1	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes25.0ms (0.2%)

Memory

-2.3MiB live, 42.5MiB allocated

Counts

16 → 3

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)
x
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x y)
(*.f64 y #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(*.f64 (+.f64 y #s(literal -1 binary64)) x)
(fma.f64 y x (neg.f64 x))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 y x (-.f64 #s(literal 0 binary64) x))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64))
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))

Outputs
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))

Calls

4 calls:

8.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
5.0ms	x
5.0ms	y
5.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Results

Accuracy	Segments	Branch
96.6%	3	`x`
97.9%	3	`y`
83.0%	6	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
83.0%	6	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes17.0ms (0.2%)

Memory

-25.6MiB live, 11.9MiB allocated

Counts

15 → 3

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)
x
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x y)
(*.f64 y #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(*.f64 (+.f64 y #s(literal -1 binary64)) x)
(fma.f64 y x (neg.f64 x))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 y x (-.f64 #s(literal 0 binary64) x))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64))

Outputs
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
97.8%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory

34.0MiB live, 34.0MiB allocated

Counts

9 → 4

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)
x
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x y)
(*.f64 y #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))

Outputs
(*.f64 x y)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 x y)

Calls

4 calls:

4.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
4.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
70.4%	4	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
70.4%	4	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
78.9%	4	`x`
77.3%	4	`y`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes8.0ms (0.1%)

Memory

-23.2MiB live, 15.1MiB allocated

Counts

7 → 4

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)
x
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x y)
(*.f64 y #s(literal -1/2 binary64))

Outputs
(*.f64 x y)
(*.f64 y #s(literal -1/2 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y #s(literal -1/2 binary64))

Calls

2 calls:

5.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
76.2%	4	`y`
60.8%	5	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

6 → 3

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)
x
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x y)

Outputs
(*.f64 x y)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x y)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
73.3%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory

-12.2MiB live, 26.0MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)
x
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)

Outputs
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)

Calls

4 calls:

4.0ms	x
2.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
2.0ms	y
2.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Results

Accuracy	Segments	Branch
52.1%	1	`x`
52.1%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
52.1%	1	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
52.1%	1	`y`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes9.0ms (0.1%)

Memory

23.5MiB live, 23.5MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)
x
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)

Outputs
(neg.f64 x)
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)

Calls

4 calls:

2.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
2.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
33.2%	2	`y`
50.9%	3	`x`
50.7%	3	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
50.7%	3	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes10.0ms (0.1%)

Memory

-24.6MiB live, 15.9MiB allocated

Accuracy

Total -16.6b remaining (-36.1%)

Threshold costs -16.6b (-36.1%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)
x

Outputs
#s(literal 918938533204673/1000000000000000 binary64)

Calls

4 calls:

4.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
2.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
28.1%	1	`y`
28.1%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
28.1%	1	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
28.1%	1	`x`

Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch39.0ms (0.4%)

Memory

35.8MiB live, 68.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	1.7305043961516486e-7	1174375393641911600.0
13.0ms	-2.064181403474551	-0.00017555946696705405

Samples

26.0ms

304×

valid

Compiler

Compiled 293 to 224 computations (23.5% saved)

Precisions

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

const: 5.0ms (36.4% of total)

ival-mult: 4.0ms (29.2% of total)

ival-sub: 3.0ms (21.9% of total)

ival-add: 1.0ms (7.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch40.0ms (0.4%)

Memory

-6.9MiB live, 70.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	1.7305043961516486e-7	1174375393641911600.0
15.0ms	-2.064181403474551	-0.00017555946696705405

Samples

27.0ms

304×

valid

Compiler

Compiled 282 to 224 computations (20.6% saved)

Precisions

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

ival-mult: 8.0ms (40.4% of total)

const: 7.0ms (35.4% of total)

ival-sub: 3.0ms (15.2% of total)

ival-add: 1.0ms (5.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch73.0ms (0.7%)

Memory

-17.6MiB live, 118.3MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	3.502091513173893e-6	1.8185040698288872
10.0ms	-9.706729966670433e-6	-6.736942073369301e-7
42.0ms	-4.907019999684928e+207	-1.2290859360985154e+203

Samples

56.0ms

368×

valid

Compiler

Compiled 307 to 243 computations (20.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

const: 6.0ms (35.6% of total)

ival-mult: 5.0ms (29.7% of total)

ival-sub: 4.0ms (23.7% of total)

ival-add: 2.0ms (11.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch52.0ms (0.5%)

Memory

7.6MiB live, 123.4MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.7305043961516486e-7	1174375393641911600.0
13.0ms	-19339663.901525415	-471844.8655848879
14.0ms	-3.678457950005326e+69	-5.884527006235427e+65

Samples

29.0ms

416×

valid

Compiler

Compiled 328 to 267 computations (18.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

const: 7.0ms (37.5% of total)

ival-mult: 5.0ms (26.8% of total)

ival-sub: 4.0ms (21.4% of total)

ival-add: 2.0ms (10.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch40.0ms (0.4%)

Memory

11.6MiB live, 85.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.7305043961516486e-7	1174375393641911600.0
16.0ms	-471844.8655848879	-3.6143733012654766

Samples

26.0ms

320×

valid

Compiler

Compiled 256 to 195 computations (23.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-sub: 6.0ms (35.5% of total)

const: 5.0ms (29.5% of total)

ival-mult: 4.0ms (23.6% of total)

ival-add: 1.0ms (5.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch40.0ms (0.4%)

Memory

3.5MiB live, 83.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	3.502091513173893e-6	1.8185040698288872
20.0ms	-227.37204552675038	-6.050703710098701e-5

Samples

22.0ms

288×

valid

Compiler

Compiled 178 to 159 computations (10.7% saved)

Precisions

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

const: 5.0ms (37.7% of total)

ival-mult: 4.0ms (30.1% of total)

ival-sub: 3.0ms (22.6% of total)

ival-add: 1.0ms (7.5% of total)

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

exact: 0.0ms (0% of total)

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

simplify12.0ms (0.1%)

Memory

-11.1MiB live, 26.8MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
10×	`*-commutative_binary64`
10×	`sub-neg_binary64`
8×	`if-if-or-not_binary32`
4×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	134
1	81	134
2	88	134
3	91	134
4	92	134

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(if (<=.f64 y #s(literal -3039929748475085/2251799813685248 binary64)) (.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (fma.f64 y x (.f64 y #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -3039929748475085/2251799813685248 binary64)) (.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal -1059999999999999974171790548671232713211564192344195599504651114427204521013527372110433508011282280297469258284663221563571382814342547893898799715299023156719357335263306463689084266402962113179447984128 binary64)) (.f64 x y) (if (<=.f64 x #s(literal -944473296573929/295147905179352825856 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 x #s(literal 1170935903116329/2251799813685248 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (.f64 x y))))
(if (<=.f64 y #s(literal -70000000000000000288151981501143776461251748830540338077714954059776 binary64)) (.f64 x y) (if (<=.f64 y #s(literal -480000 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -4278419646001971/281474976710656 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 x y)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(if (<=.f64 x #s(literal -8286623314361713/9007199254740992 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 8286623314361713/9007199254740992 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x)))
#s(literal 918938533204673/1000000000000000 binary64)

Outputs
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(if (<=.f64 y #s(literal -3039929748475085/2251799813685248 binary64)) (.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (fma.f64 y x (.f64 y #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -3039929748475085/2251799813685248 binary64)) (.f64 y (+.f64 x #s(literal -1/2 binary64))) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal -1059999999999999974171790548671232713211564192344195599504651114427204521013527372110433508011282280297469258284663221563571382814342547893898799715299023156719357335263306463689084266402962113179447984128 binary64)) (.f64 x y) (if (<=.f64 x #s(literal -944473296573929/295147905179352825856 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 x #s(literal 1170935903116329/2251799813685248 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (.f64 x y))))
(if (<=.f64 x #s(literal -1059999999999999974171790548671232713211564192344195599504651114427204521013527372110433508011282280297469258284663221563571382814342547893898799715299023156719357335263306463689084266402962113179447984128 binary64)) (.f64 y x) (if (<=.f64 x #s(literal -944473296573929/295147905179352825856 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 x #s(literal 1170935903116329/2251799813685248 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (.f64 y x))))
(if (<=.f64 y #s(literal -70000000000000000288151981501143776461251748830540338077714954059776 binary64)) (.f64 x y) (if (<=.f64 y #s(literal -480000 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -70000000000000000288151981501143776461251748830540338077714954059776 binary64)) (.f64 y x) (if (<=.f64 y #s(literal -480000 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -4278419646001971/281474976710656 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 x y)))
(if (<=.f64 y #s(literal -4278419646001971/281474976710656 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 y x)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(if (<=.f64 x #s(literal -8286623314361713/9007199254740992 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 8286623314361713/9007199254740992 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x)))
(if (<=.f64 x #s(literal -8286623314361713/9007199254740992 binary64)) (-.f64 #s(literal 0 binary64) x) (if (<=.f64 x #s(literal 8286623314361713/9007199254740992 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (-.f64 #s(literal 0 binary64) x)))
#s(literal 918938533204673/1000000000000000 binary64)

soundness1.5s (13.8%)

Memory

-20.9MiB live, 900.5MiB allocated

Rules

11 900×	`accelerator-lowering-fma.f32`
11 900×	`accelerator-lowering-fma.f64`
10 910×	`accelerator-lowering-fma.f32`
10 910×	`accelerator-lowering-fma.f64`
9 366×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	51
1	123	47
2	1369	45
0	9010	43
0	107	1049
1	332	963
2	939	879
3	2943	879
4	7550	879
0	8028	860
0	15	47
1	111	46
2	1127	46
0	8279	45
0	76	593
1	232	592
2	695	520
3	1795	520
4	6369	520
0	8164	501
0	10	31
1	64	31
2	515	31
3	7716	31
0	8245	28
0	486	3522
1	1530	3288
2	4846	3213
0	8139	2879

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
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 346 to 206 computations (40.5% saved)

preprocess244.0ms (2.2%)

Memory: 14.9MiB live, 92.3MiB allocated
Compiler: Compiled 320 to 134 computations (58.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.3s (12%)

preprocess273.0ms (2.4%)

explain287.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify101.0ms (0.9%)

localize67.0ms (0.6%)

series6.0ms (0.1%)

rewrite547.0ms (4.9%)

simplify322.0ms (2.9%)

eval59.0ms (0.5%)

prune57.0ms (0.5%)

simplify545.0ms (4.9%)

localize134.0ms (1.2%)

series265.0ms (2.4%)

rewrite472.0ms (4.2%)

simplify495.0ms (4.4%)

eval151.0ms (1.4%)

prune120.0ms (1.1%)

simplify277.0ms (2.5%)

localize53.0ms (0.5%)

series9.0ms (0.1%)

rewrite497.0ms (4.4%)

simplify348.0ms (3.1%)

eval124.0ms (1.1%)

prune109.0ms (1%)

simplify760.0ms (6.8%)

localize62.0ms (0.6%)

series4.0ms (0%)

rewrite636.0ms (5.7%)

simplify502.0ms (4.5%)

eval102.0ms (0.9%)

prune212.0ms (1.9%)

regimes38.0ms (0.3%)

regimes25.0ms (0.2%)

regimes25.0ms (0.2%)

regimes17.0ms (0.2%)

regimes15.0ms (0.1%)

regimes8.0ms (0.1%)

regimes3.0ms (0%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

regimes10.0ms (0.1%)

bsearch39.0ms (0.4%)

bsearch40.0ms (0.4%)

bsearch73.0ms (0.7%)

bsearch52.0ms (0.5%)

bsearch40.0ms (0.4%)

bsearch40.0ms (0.4%)

simplify12.0ms (0.1%)

soundness1.5s (13.8%)

preprocess244.0ms (2.2%)

end0.0ms (0%)

Profiling