Metrics for Data.Number.Erf:$cinvnormcdf from erf-2.0.0.0, B

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze28.0ms (0.6%)

Memory

3.4MiB live, 48.3MiB allocated; 6ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	5
68.8%	68.7%	31.2%	0.1%	0%	0%	0%	6
78.1%	78%	21.9%	0.1%	0%	0%	0%	7
82.8%	82.7%	17.2%	0.1%	0%	0%	0%	8
88.3%	88.2%	11.7%	0.1%	0%	0%	0%	9
91%	90.9%	9%	0.1%	0%	0%	0%	10
93.9%	93.9%	6%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.2s (26.3%)

Memory

73.0MiB live, 1 435.0MiB allocated; 244ms collecting garbage

Samples

764.0ms	8 252×	0	valid
1.0ms	4×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 442.0ms

ival-div: 157.0ms (35.6% of total)

ival-mult: 137.0ms (31% of total)

ival-sub: 73.0ms (16.5% of total)

ival-add: 53.0ms (12% of total)

exact: 9.0ms (2% of total)

ival-true: 6.0ms (1.4% of total)

ival-assert: 3.0ms (0.7% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

explain176.0ms (3.9%)

Memory

-25.3MiB live, 284.3MiB allocated; 44ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
41	-	-	`(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))`
0	-	-	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 x y)`
0	-	-	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
0	-	-	`(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`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

72.0ms

512×

valid

Compiler

Compiled 93 to 31 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-div: 27.0ms (47.9% of total)

ival-mult: 23.0ms (40.8% of total)

ival-add: 3.0ms (5.3% of total)

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

exact: 1.0ms (1.8% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess293.0ms (6.6%)

Memory

11.5MiB live, 381.1MiB allocated; 52ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	65
1	43	61
2	68	59
3	153	59
4	370	59
5	1542	59
6	7331	59
0	9	11
0	14	11
1	21	11
2	31	11
3	68	11
4	206	11
5	1096	11
6	6736	11
0	8551	10

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify208.0ms (4.6%)

Memory

-23.2MiB live, 170.7MiB allocated; 54ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (*.f64 x y) #s(literal 2 binary64))
cost-diff	0	(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
cost-diff	0	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
cost-diff	1	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	39
0	14	39
1	21	39
2	31	39
3	68	39
4	206	39
5	1096	39
6	6736	39
0	8551	36

Stop Event

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

Calls

Call 1

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

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

localize25.0ms (0.5%)

Memory

2.9MiB live, 49.0MiB allocated; 4ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
accuracy	0.0	(*.f64 x y)
accuracy	0.0078125	(/.f64 (*.f64 x y) #s(literal 2 binary64))
accuracy	9.626879221029395	(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))

Samples

16.0ms

256×

valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

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

ival-div: 3.0ms (35.1% of total)

ival-mult: 2.0ms (23.4% of total)

ival-sub: 1.0ms (11.7% of total)

ival-add: 1.0ms (11.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Memory

11.8MiB live, 11.8MiB allocated; 0ms collecting garbage

Counts

5 → 47

Calls

Call 1

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

Outputs
1
(+ 1 (* 1/2 (* x y)))
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(* 1/2 (* x y))
(* x y)
(* x (+ (* 1/2 y) (/ 1 x)))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(* y (+ (* 1/2 x) (/ 1 y)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))

Calls

6 calls:

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

simplify189.0ms (4.2%)

Memory

3.4MiB live, 235.6MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	706
1	711	684
2	2341	665
0	8269	634

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 45

Calls

Call 1

Inputs
1
(+ 1 (* 1/2 (* x y)))
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(* 1/2 (* x y))
(* x y)
(* x (+ (* 1/2 y) (/ 1 x)))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(* y (+ (* 1/2 x) (/ 1 y)))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))

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

rewrite79.0ms (1.8%)

Memory

-12.3MiB live, 132.6MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
0	14	35
1	54	35
0	387	32

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

5 → 47

Calls

Call 1

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

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

eval10.0ms (0.2%)

Memory: 22.1MiB live, 22.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 795 to 396 computations (77.9% saved)

prune6.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	75	7	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	7	83

Accuracy

100.0%

Counts

83 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
	69.5%	(-.f64 x (.f64 (/.f64 y (+.f64 (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
	49.2%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) #s(literal -2 binary64)) x)))
▶	62.8%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
▶	61.5%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x))
▶	75.7%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
▶	27.3%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Compiler

Compiled 280 to 196 computations (30% saved)

simplify187.0ms (4.2%)

Memory

23.5MiB live, 192.2MiB allocated; 51ms collecting garbage

Localize:

Found 15 expressions of interest:

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	174
0	41	174
1	59	174
2	107	174
3	257	174
4	756	166
5	3115	166
6	7121	166
0	8278	166

Stop Event

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

Calls

Call 1

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

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

localize151.0ms (3.4%)

Memory

-64.8MiB live, 113.3MiB allocated; 100ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) y)
accuracy	0.0546875	(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
accuracy	24.60845894831864	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x))
accuracy	0.0	(/.f64 #s(literal 2 binary64) x)
accuracy	0.0	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
accuracy	32.91000696857018	#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
accuracy	0.0	(-.f64 x y)
accuracy	15.567012601917757	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
accuracy	0.0	(neg.f64 y)
accuracy	46.53196936669626	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
accuracy	0.0	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
accuracy	0.0	(*.f64 y x)
accuracy	0.0	#s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
accuracy	9.626879221029395	(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))

Samples

68.0ms

256×

valid

Compiler

Compiled 134 to 24 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-add: 31.0ms (61.6% of total)

ival-mult: 10.0ms (19.9% of total)

ival-div: 5.0ms (9.9% of total)

ival-sub: 2.0ms (4% of total)

exact: 1.0ms (2% of total)

ival-neg: 1.0ms (2% of total)

adjust: 0.0ms (0% of total)

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

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

series9.0ms (0.2%)

Memory

25.3MiB live, 25.3MiB allocated; 0ms collecting garbage

Counts

16 → 68

Calls

Call 1

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

Outputs
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
1
(+ 1 (* 1/2 (* x y)))
(- x y)
(/ 2 x)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
-1
(- (* 1/2 (* x y)) 1)
(* x y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (/ 1 x)))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* x (- (* 1/2 y) (/ 1 x)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(* 1/2 y)
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(* y (+ (* 1/2 x) (/ 1 y)))
(* y (- (/ x y) 1))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(* y (- (* 1/2 x) (/ 1 y)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (+ (* (* y x) 1/2) 1) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (- x y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (+ (* (* 1/2 y) x) -1) (* 1/2 y) (* y x))
2.0ms	y	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (+ (* (* y x) 1/2) 1) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (- x y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (+ (* (* 1/2 y) x) -1) (* 1/2 y) (* y x))
1.0ms	y	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (+ (* (* y x) 1/2) 1) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (- x y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (+ (* (* 1/2 y) x) -1) (* 1/2 y) (* y x))
1.0ms	x	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (+ (* (* y x) 1/2) 1) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (- x y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (+ (* (* 1/2 y) x) -1) (* 1/2 y) (* y x))
1.0ms	x	@	0	((- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (+ (* (* y x) 1/2) 1) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (- x y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (+ (* (* 1/2 y) x) -1) (* 1/2 y) (* y x))

simplify155.0ms (3.5%)

Memory

-17.3MiB live, 314.0MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	278	887
1	853	861
2	2881	841
0	8275	793

Stop Event

1×	iter limit
1×	node limit

Counts

68 → 66

Calls

Call 1

Inputs
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
1
(+ 1 (* 1/2 (* x y)))
(- x y)
(/ 2 x)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
-1
(- (* 1/2 (* x y)) 1)
(* x y)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (/ 1 x)))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* x (- (* 1/2 y) (/ 1 x)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(* 1/2 y)
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(* y (+ (* 1/2 x) (/ 1 y)))
(* y (- (/ x y) 1))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(* y (- (* 1/2 x) (/ 1 y)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))

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

rewrite56.0ms (1.2%)

Memory

-4.8MiB live, 86.3MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	161
0	41	161
1	163	161
0	1141	153

Stop Event

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

Counts

16 → 116

Calls

Call 1

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

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

eval21.0ms (0.5%)

Memory: 0.5MiB live, 46.1MiB allocated; 4ms collecting garbage
Compiler: Compiled 4 639 to 684 computations (85.3% saved)

prune5.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	160	2	162
Fresh	1	1	2
Picked	0	5	5
Done	0	0	0
Total	161	8	169

Accuracy

100.0%

Counts

169 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
▶	82.0%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)))))))
▶	49.2%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) #s(literal -2 binary64)) x)))
✓	62.8%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	61.5%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x))
✓	75.7%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
✓	27.3%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
▶	28.1%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y)))

Compiler

Compiled 179 to 128 computations (28.5% saved)

simplify162.0ms (3.6%)

Memory

10.1MiB live, 151.1MiB allocated; 21ms collecting garbage

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ 1 (/ (* x y) 2)) (-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)))))
cost-diff	0	(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))))))
cost-diff	0	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)))))))
cost-diff	2	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)))
cost-diff	0	(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) #s(literal -2 binary64))
cost-diff	0	(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) #s(literal -2 binary64)) x)
cost-diff	0	#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) #s(literal -2 binary64)) x))
cost-diff	0	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) #s(literal -2 binary64)) x)))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y)
cost-diff	0	#s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y))
cost-diff	0	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	377
0	66	377
1	97	377
2	212	377
3	653	377
4	2294	372
5	6824	372
0	8066	359

Stop Event

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

Calls

Call 1

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

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

localize134.0ms (3%)

Memory

11.1MiB live, 154.5MiB allocated; 53ms collecting garbage

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.22007753907376804	(pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))
accuracy	0.5944163090609415	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)))
accuracy	9.626879221029395	(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))))))
accuracy	17.080826364591662	(/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)))
accuracy	0.9516070381635657	(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) #s(literal -2 binary64)) x)
accuracy	1.4919716162301424	(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x)
accuracy	6.303159631678227	(.f64 (.f64 y y) x)
accuracy	32.90467585999732	#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) #s(literal -2 binary64)) x))
accuracy	0.00390625	(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
accuracy	0.09765625	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y)
accuracy	21.56916162830967	#s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y))
accuracy	24.60845894831864	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y)))

Samples

108.0ms

256×

valid

Compiler

Compiled 250 to 37 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-mult: 27.0ms (29.8% of total)

ival-add: 25.0ms (27.6% of total)

ival-sub: 22.0ms (24.3% of total)

ival-div: 13.0ms (14.3% of total)

ival-pow2: 3.0ms (3.3% of total)

exact: 1.0ms (1.1% of total)

adjust: 0.0ms (0% of total)

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

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

series27.0ms (0.6%)

Memory

-5.0MiB live, 40.2MiB allocated; 7ms collecting garbage

Counts

16 → 118

Calls

Call 1

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

Outputs
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(+ (* -1 y) (* 1/2 (* x (pow y 2))))
-1
(- (* 1/2 (* x y)) 1)
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(/ 8 (* (pow x 3) (pow y 2)))
(/ (+ (* -4 (/ x y)) (* 8 (/ 1 (pow y 2)))) (pow x 3))
(/ (+ (* x (- (* 2 x) (* 4 (/ 1 y)))) (* 8 (/ 1 (pow y 2)))) (pow x 3))
(/ 8 (* (pow x 2) (pow y 2)))
(/ (+ (* -4 (/ x y)) (* 8 (/ 1 (pow y 2)))) (pow x 2))
(/ (+ (* x (- (* 2 x) (* 4 (/ 1 y)))) (* 8 (/ 1 (pow y 2)))) (pow x 2))
(- (* -1/2 (* x y)) 1)
(- (* x (- (* -1/4 (* x (pow y 2))) (* 1/2 y))) 1)
(- (* x (- (* x (- (* -1/8 (* x (pow y 3))) (* 1/4 (pow y 2)))) (* 1/2 y))) 1)
1
(+ 1 (* 1/2 (* x y)))
(* x (pow y 2))
(* -1/4 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1/4 (pow y 2)) (* -1/8 (* x (pow y 3)))))
(* (pow x 2) (+ (* -1/4 (pow y 2)) (* x (+ (* -1/8 (pow y 3)) (* -1/16 (* x (pow y 4)))))))
(* (pow x 2) (+ (* -1/4 (pow y 2)) (* x (+ (* -1/8 (pow y 3)) (* x (+ (* -1/16 (pow y 4)) (* -1/32 (* x (pow y 5)))))))))
(* 1/4 (* (pow x 2) (pow y 2)))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* 1/2 (* x (pow y 2)))
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))
(* 1/2 (* x y))
(* x (- (* 1/2 y) (/ 1 x)))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
2
(- 2 (* 4 (/ 1 (* x y))))
(- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y)))
(/ 2 (* x y))
(/ (+ (* 2 (/ 1 y)) (* 4 (/ 1 (* x (pow y 2))))) x)
(/ (+ (* 2 (/ 1 y)) (+ (/ 4 (* x (pow y 2))) (/ 8 (* (pow x 2) (pow y 3))))) x)
(/ (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (* (pow x 2) (pow y 3)))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 4)))) (/ 4 (* x (pow y 2)))))) x)
(* x (+ (* 1/2 y) (/ 1 x)))
(/ -4 (* x y))
(/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)
(* x (+ (* 1/2 y) (+ (/ 1 x) (/ 2 (* (pow x 2) y)))))
(* x (+ (* 1/2 y) (+ (/ 1 x) (+ (* 2 (/ 1 (* (pow x 2) y))) (* 4 (/ 1 (* (pow x 3) (pow y 2))))))))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(+ 2 (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) x)))
(* -1 (/ (- (* -1 (/ (+ (* 8 (/ 1 (* x (pow y 3)))) (* 4 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 y))) x))
(* -1 (/ (- (* -1 (/ (+ (* 4 (/ 1 (pow y 2))) (+ (/ 8 (* x (pow y 3))) (/ 16 (* (pow x 2) (pow y 4))))) x)) (* 2 (/ 1 y))) x))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) x))
(* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 (* x y)))) x)) (* -1/2 y))))
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (/ 2 (* x y)) (/ 4 (* (pow x 2) (pow y 2))))) x)) (* -1/2 y))))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(* y (- (* 1/2 (* x y)) 1))
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(/ (+ (* -4 (/ y (pow x 2))) (* 8 (/ 1 (pow x 3)))) (pow y 2))
(/ (+ (* y (- (* 2 (/ y x)) (* 4 (/ 1 (pow x 2))))) (* 8 (/ 1 (pow x 3)))) (pow y 2))
(/ (+ (* -4 (/ y x)) (* 8 (/ 1 (pow x 2)))) (pow y 2))
(/ (+ (* y (- (* 2 y) (* 4 (/ 1 x)))) (* 8 (/ 1 (pow x 2)))) (pow y 2))
(- (* y (- (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)
(- (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* 1/4 (pow x 2)))) (* 1/2 x))) 1)
(* (pow y 2) (+ (* -1/4 (pow x 2)) (* -1/8 (* (pow x 3) y))))
(* (pow y 2) (+ (* -1/4 (pow x 2)) (* y (+ (* -1/8 (pow x 3)) (* -1/16 (* (pow x 4) y))))))
(* (pow y 2) (+ (* -1/4 (pow x 2)) (* y (+ (* -1/8 (pow x 3)) (* y (+ (* -1/16 (pow x 4)) (* -1/32 (* (pow x 5) y))))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(* y (- (* 1/2 x) (/ 1 y)))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(/ (+ (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) y)
(/ (+ (* 2 (/ 1 x)) (+ (/ 4 (* (pow x 2) y)) (/ 8 (* (pow x 3) (pow y 2))))) y)
(/ (+ (* 2 (/ 1 x)) (+ (* 8 (/ 1 (* (pow x 3) (pow y 2)))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))) y)
(* y (+ (* 1/2 x) (/ 1 y)))
(/ (- (* 8 (/ 1 (* (pow x 2) y))) (* 4 (/ 1 x))) y)
(* y (+ (* 1/2 x) (+ (/ 1 y) (/ 2 (* x (pow y 2))))))
(* y (+ (* 1/2 x) (+ (/ 1 y) (+ (* 2 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 (* (pow x 2) (pow y 3))))))))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(+ 2 (* -1 (/ (- (* 4 (/ 1 x)) (* 8 (/ 1 (* (pow x 2) y)))) y)))
(* -1 (/ (- (* -1 (/ (+ (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) y))
(* -1 (/ (- (* -1 (/ (+ (* 4 (/ 1 (pow x 2))) (+ (/ 8 (* (pow x 3) y)) (/ 16 (* (pow x 4) (pow y 2))))) y)) (* 2 (/ 1 x))) y))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (/ (- (* 4 (/ 1 x)) (* 8 (/ 1 (* (pow x 2) y)))) y))
(* -1 (* y (+ (* -1 (/ (+ 1 (* 2 (/ 1 (* x y)))) y)) (* -1/2 x))))
(* -1 (* y (+ (* -1 (/ (+ 1 (+ (/ 2 (* x y)) (/ 4 (* (pow x 2) (pow y 2))))) y)) (* -1/2 x))))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (* (+ (* 1/2 (* y x)) -1) y) (+ (* 1/2 (* y x)) -1) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (- (/ (- (/ -4 y) (/ -8 (* (* y y) x))) x) -2) x) (- (/ (- (/ -4 y) (/ -8 (* (* y y) x))) x) -2) (/ 1 (+ (* (* 1/2 y) x) -1)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* (* y y) x) (/ (- (/ -4 y) (/ -8 (* (* y y) x))) x) (/ (pow (* (* 1/2 y) x) 2) (+ (* (* 1/2 y) x) -1)) (pow (* (* 1/2 y) x) 2))
4.0ms	x	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (* (+ (* 1/2 (* y x)) -1) y) (+ (* 1/2 (* y x)) -1) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (- (/ (- (/ -4 y) (/ -8 (* (* y y) x))) x) -2) x) (- (/ (- (/ -4 y) (/ -8 (* (* y y) x))) x) -2) (/ 1 (+ (* (* 1/2 y) x) -1)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* (* y y) x) (/ (- (/ -4 y) (/ -8 (* (* y y) x))) x) (/ (pow (* (* 1/2 y) x) 2) (+ (* (* 1/2 y) x) -1)) (pow (* (* 1/2 y) x) 2))
4.0ms	y	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (* (+ (* 1/2 (* y x)) -1) y) (+ (* 1/2 (* y x)) -1) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (- (/ (- (/ -4 y) (/ -8 (* (* y y) x))) x) -2) x) (- (/ (- (/ -4 y) (/ -8 (* (* y y) x))) x) -2) (/ 1 (+ (* (* 1/2 y) x) -1)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* (* y y) x) (/ (- (/ -4 y) (/ -8 (* (* y y) x))) x) (/ (pow (* (* 1/2 y) x) 2) (+ (* (* 1/2 y) x) -1)) (pow (* (* 1/2 y) x) 2))
4.0ms	x	@	0	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (* (+ (* 1/2 (* y x)) -1) y) (+ (* 1/2 (* y x)) -1) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (- (/ (- (/ -4 y) (/ -8 (* (* y y) x))) x) -2) x) (- (/ (- (/ -4 y) (/ -8 (* (* y y) x))) x) -2) (/ 1 (+ (* (* 1/2 y) x) -1)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* (* y y) x) (/ (- (/ -4 y) (/ -8 (* (* y y) x))) x) (/ (pow (* (* 1/2 y) x) 2) (+ (* (* 1/2 y) x) -1)) (pow (* (* 1/2 y) x) 2))
3.0ms	y	@	0	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (* (+ (* 1/2 (* y x)) -1) y) (+ (* 1/2 (* y x)) -1) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (- (/ (- (/ -4 y) (/ -8 (* (* y y) x))) x) -2) x) (- (/ (- (/ -4 y) (/ -8 (* (* y y) x))) x) -2) (/ 1 (+ (* (* 1/2 y) x) -1)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* (* y y) x) (/ (- (/ -4 y) (/ -8 (* (* y y) x))) x) (/ (pow (* (* 1/2 y) x) 2) (+ (* (* 1/2 y) x) -1)) (pow (* (* 1/2 y) x) 2))

simplify188.0ms (4.2%)

Memory

18.8MiB live, 304.9MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	482	1863
1	1573	1806
2	5790	1770
0	8400	1698

Stop Event

1×	iter limit
1×	node limit

Counts

118 → 116

Calls

Call 1

Inputs
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(+ (* -1 y) (* 1/2 (* x (pow y 2))))
-1
(- (* 1/2 (* x y)) 1)
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(/ 8 (* (pow x 3) (pow y 2)))
(/ (+ (* -4 (/ x y)) (* 8 (/ 1 (pow y 2)))) (pow x 3))
(/ (+ (* x (- (* 2 x) (* 4 (/ 1 y)))) (* 8 (/ 1 (pow y 2)))) (pow x 3))
(/ 8 (* (pow x 2) (pow y 2)))
(/ (+ (* -4 (/ x y)) (* 8 (/ 1 (pow y 2)))) (pow x 2))
(/ (+ (* x (- (* 2 x) (* 4 (/ 1 y)))) (* 8 (/ 1 (pow y 2)))) (pow x 2))
(- (* -1/2 (* x y)) 1)
(- (* x (- (* -1/4 (* x (pow y 2))) (* 1/2 y))) 1)
(- (* x (- (* x (- (* -1/8 (* x (pow y 3))) (* 1/4 (pow y 2)))) (* 1/2 y))) 1)
1
(+ 1 (* 1/2 (* x y)))
(* x (pow y 2))
(* -1/4 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1/4 (pow y 2)) (* -1/8 (* x (pow y 3)))))
(* (pow x 2) (+ (* -1/4 (pow y 2)) (* x (+ (* -1/8 (pow y 3)) (* -1/16 (* x (pow y 4)))))))
(* (pow x 2) (+ (* -1/4 (pow y 2)) (* x (+ (* -1/8 (pow y 3)) (* x (+ (* -1/16 (pow y 4)) (* -1/32 (* x (pow y 5)))))))))
(* 1/4 (* (pow x 2) (pow y 2)))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* 1/2 (* x (pow y 2)))
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))
(* 1/2 (* x y))
(* x (- (* 1/2 y) (/ 1 x)))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
2
(- 2 (* 4 (/ 1 (* x y))))
(- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y)))
(/ 2 (* x y))
(/ (+ (* 2 (/ 1 y)) (* 4 (/ 1 (* x (pow y 2))))) x)
(/ (+ (* 2 (/ 1 y)) (+ (/ 4 (* x (pow y 2))) (/ 8 (* (pow x 2) (pow y 3))))) x)
(/ (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (* (pow x 2) (pow y 3)))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 4)))) (/ 4 (* x (pow y 2)))))) x)
(* x (+ (* 1/2 y) (/ 1 x)))
(/ -4 (* x y))
(/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)
(* x (+ (* 1/2 y) (+ (/ 1 x) (/ 2 (* (pow x 2) y)))))
(* x (+ (* 1/2 y) (+ (/ 1 x) (+ (* 2 (/ 1 (* (pow x 2) y))) (* 4 (/ 1 (* (pow x 3) (pow y 2))))))))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(+ 2 (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) x)))
(* -1 (/ (- (* -1 (/ (+ (* 8 (/ 1 (* x (pow y 3)))) (* 4 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 y))) x))
(* -1 (/ (- (* -1 (/ (+ (* 4 (/ 1 (pow y 2))) (+ (/ 8 (* x (pow y 3))) (/ 16 (* (pow x 2) (pow y 4))))) x)) (* 2 (/ 1 y))) x))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) x))
(* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 (* x y)))) x)) (* -1/2 y))))
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (/ 2 (* x y)) (/ 4 (* (pow x 2) (pow y 2))))) x)) (* -1/2 y))))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(* y (- (* 1/2 (* x y)) 1))
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(/ (+ (* -4 (/ y (pow x 2))) (* 8 (/ 1 (pow x 3)))) (pow y 2))
(/ (+ (* y (- (* 2 (/ y x)) (* 4 (/ 1 (pow x 2))))) (* 8 (/ 1 (pow x 3)))) (pow y 2))
(/ (+ (* -4 (/ y x)) (* 8 (/ 1 (pow x 2)))) (pow y 2))
(/ (+ (* y (- (* 2 y) (* 4 (/ 1 x)))) (* 8 (/ 1 (pow x 2)))) (pow y 2))
(- (* y (- (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)
(- (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* 1/4 (pow x 2)))) (* 1/2 x))) 1)
(* (pow y 2) (+ (* -1/4 (pow x 2)) (* -1/8 (* (pow x 3) y))))
(* (pow y 2) (+ (* -1/4 (pow x 2)) (* y (+ (* -1/8 (pow x 3)) (* -1/16 (* (pow x 4) y))))))
(* (pow y 2) (+ (* -1/4 (pow x 2)) (* y (+ (* -1/8 (pow x 3)) (* y (+ (* -1/16 (pow x 4)) (* -1/32 (* (pow x 5) y))))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(* y (- (* 1/2 x) (/ 1 y)))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(/ (+ (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) y)
(/ (+ (* 2 (/ 1 x)) (+ (/ 4 (* (pow x 2) y)) (/ 8 (* (pow x 3) (pow y 2))))) y)
(/ (+ (* 2 (/ 1 x)) (+ (* 8 (/ 1 (* (pow x 3) (pow y 2)))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))) y)
(* y (+ (* 1/2 x) (/ 1 y)))
(/ (- (* 8 (/ 1 (* (pow x 2) y))) (* 4 (/ 1 x))) y)
(* y (+ (* 1/2 x) (+ (/ 1 y) (/ 2 (* x (pow y 2))))))
(* y (+ (* 1/2 x) (+ (/ 1 y) (+ (* 2 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 (* (pow x 2) (pow y 3))))))))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(+ 2 (* -1 (/ (- (* 4 (/ 1 x)) (* 8 (/ 1 (* (pow x 2) y)))) y)))
(* -1 (/ (- (* -1 (/ (+ (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) y))
(* -1 (/ (- (* -1 (/ (+ (* 4 (/ 1 (pow x 2))) (+ (/ 8 (* (pow x 3) y)) (/ 16 (* (pow x 4) (pow y 2))))) y)) (* 2 (/ 1 x))) y))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (/ (- (* 4 (/ 1 x)) (* 8 (/ 1 (* (pow x 2) y)))) y))
(* -1 (* y (+ (* -1 (/ (+ 1 (* 2 (/ 1 (* x y)))) y)) (* -1/2 x))))
(* -1 (* y (+ (* -1 (/ (+ 1 (+ (/ 2 (* x y)) (/ 4 (* (pow x 2) (pow y 2))))) y)) (* -1/2 x))))

Outputs
(* -1 y)
(neg.f64 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x (neg.f64 y))
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(-.f64 (.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -1/4 binary64) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(-.f64 (.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/8 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64))) x (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x (neg.f64 y))
(+ (* -1 y) (* 1/2 (* x (pow y 2))))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) y (neg.f64 y))
-1
#s(literal -1 binary64)
(- (* 1/2 (* x y)) 1)
(-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 1 binary64))
y
(+ y (* -1/2 (* x (pow y 2))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) x #s(literal 1 binary64)) y)
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y y) (.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) x y)
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) x) (.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64)))) x (.f64 #s(literal -1/2 binary64) (.f64 y y))) x y)
(/ 8 (* (pow x 3) (pow y 2)))
(/.f64 (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) y) y)
(/ (+ (* -4 (/ x y)) (* 8 (/ 1 (pow y 2)))) (pow x 3))
(/.f64 (/.f64 (fma.f64 #s(literal -4 binary64) x (/.f64 #s(literal 8 binary64) y)) y) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (* x (- (* 2 x) (* 4 (/ 1 y)))) (* 8 (/ 1 (pow y 2)))) (pow x 3))
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal -4 binary64) y)) x (/.f64 #s(literal 8 binary64) (*.f64 y y))) (pow.f64 x #s(literal 3 binary64)))
(/ 8 (* (pow x 2) (pow y 2)))
(/.f64 #s(literal 8 binary64) (.f64 (.f64 (*.f64 y y) x) x))
(/ (+ (* -4 (/ x y)) (* 8 (/ 1 (pow y 2)))) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal -4 binary64) x (/.f64 #s(literal 8 binary64) y)) y) (*.f64 x x))
(/ (+ (* x (- (* 2 x) (* 4 (/ 1 y)))) (* 8 (/ 1 (pow y 2)))) (pow x 2))
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal -4 binary64) y)) x (/.f64 #s(literal 8 binary64) (.f64 y y))) (.f64 x x))
(- (* -1/2 (* x y)) 1)
(-.f64 (.f64 #s(literal -1/2 binary64) (.f64 y x)) #s(literal 1 binary64))
(- (* x (- (* -1/4 (* x (pow y 2))) (* 1/2 y))) 1)
(-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 (.f64 (.f64 x x) y) #s(literal -1/4 binary64))) y) #s(literal 1 binary64))
(- (* x (- (* x (- (* -1/8 (* x (pow y 3))) (* 1/4 (pow y 2)))) (* 1/2 y))) 1)
(-.f64 (.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/4 binary64))) y (*.f64 #s(literal -1/2 binary64) x)) y) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* -1/4 (* (pow x 2) (pow y 2)))
(.f64 (.f64 (.f64 (.f64 x x) y) #s(literal -1/4 binary64)) y)
(* (pow x 2) (+ (* -1/4 (pow y 2)) (* -1/8 (* x (pow y 3)))))
(fma.f64 (.f64 (.f64 (.f64 x x) y) #s(literal -1/4 binary64)) y (.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(* (pow x 2) (+ (* -1/4 (pow y 2)) (* x (+ (* -1/8 (pow y 3)) (* -1/16 (* x (pow y 4)))))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) x) (.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) x (.f64 #s(literal -1/4 binary64) (.f64 y y))) x) x)
(* (pow x 2) (+ (* -1/4 (pow y 2)) (* x (+ (* -1/8 (pow y 3)) (* x (+ (* -1/16 (pow y 4)) (* -1/32 (* x (pow y 5)))))))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 5 binary64)) x) #s(literal -1/32 binary64) (.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 4 binary64)))) x (.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) x (.f64 #s(literal -1/4 binary64) (*.f64 y y))) x) x)
(* 1/4 (* (pow x 2) (pow y 2)))
(.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/4 binary64))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x)
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) (.f64 x x)) #s(literal 1 binary64)) x)
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 y y))) x)
(* x (+ 1 (* 1/2 (pow y 2))))
(.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(fma.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) (/.f64 y x)) x)
(* 1/2 (* x (pow y 2)))
(.f64 (.f64 (*.f64 y y) x) #s(literal 1/2 binary64))
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))
(.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (.f64 y y) (/.f64 y x)))
(* 1/2 (* x y))
(.f64 (.f64 #s(literal 1/2 binary64) x) y)
(* x (- (* 1/2 y) (/ 1 x)))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x)) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 4 binary64) y) x)) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 x x)) y) (/.f64 #s(literal 4 binary64) x)) y) #s(literal 2 binary64)) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/.f64 (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (.f64 x x)) y) (/.f64 #s(literal 4 binary64) x)) y) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) x)
2
#s(literal 2 binary64)
(- 2 (* 4 (/ 1 (* x y))))
(-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 4 binary64) y) x))
(- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y)))
(+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 x x)) y) (/.f64 #s(literal 4 binary64) x)) y) #s(literal 2 binary64))
(/ 2 (* x y))
(/.f64 (/.f64 #s(literal 2 binary64) y) x)
(/ (+ (* 2 (/ 1 y)) (* 4 (/ 1 (* x (pow y 2))))) x)
(/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) y) x)
(/ (+ (* 2 (/ 1 y)) (+ (/ 4 (* x (pow y 2))) (/ 8 (* (pow x 2) (pow y 3))))) x)
(/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 8 binary64) x) y)) (*.f64 y y)) x) (/.f64 #s(literal -2 binary64) y)) x)
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(* x (+ (* 1/2 y) (/ 1 x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(/ -4 (* x y))
(/.f64 (/.f64 #s(literal -4 binary64) y) x)
(/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 x x)) y) (/.f64 #s(literal 4 binary64) x)) y)
(* x (+ (* 1/2 y) (+ (/ 1 x) (/ 2 (* (pow x 2) y)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) x)) x)
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(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
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(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
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(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
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(* -1 (* x (- (* -1/2 y) (/ 1 x))))
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(* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) x))
(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) x)) (neg.f64 x))
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(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
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(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
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(* y (- (* 1/2 (* x y)) 1))
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(* y (+ 1 (* -1/2 (* x y))))
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(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 (.f64 (.f64 x x) y) #s(literal 1/4 binary64))) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
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(/ (+ (* -4 (/ y (pow x 2))) (* 8 (/ 1 (pow x 3)))) (pow y 2))
(/.f64 (/.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 #s(literal 8 binary64) x)) (.f64 x x)) (.f64 y y))
(/ (+ (* y (- (* 2 (/ y x)) (* 4 (/ 1 (pow x 2))))) (* 8 (/ 1 (pow x 3)))) (pow y 2))
(/.f64 (fma.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (.f64 x x))) y (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 y y))
(/ (+ (* -4 (/ y x)) (* 8 (/ 1 (pow x 2)))) (pow y 2))
(/.f64 (/.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 #s(literal 8 binary64) x)) x) (*.f64 y y))
(/ (+ (* y (- (* 2 y) (* 4 (/ 1 x)))) (* 8 (/ 1 (pow x 2)))) (pow y 2))
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal -4 binary64) y)) x (/.f64 #s(literal 8 binary64) (.f64 y y))) (.f64 x x))
(- (* y (- (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)
(-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 (.f64 (.f64 x x) y) #s(literal -1/4 binary64))) y) #s(literal 1 binary64))
(- (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* 1/4 (pow x 2)))) (* 1/2 x))) 1)
(-.f64 (.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/4 binary64))) y (*.f64 #s(literal -1/2 binary64) x)) y) #s(literal 1 binary64))
(* (pow y 2) (+ (* -1/4 (pow x 2)) (* -1/8 (* (pow x 3) y))))
(fma.f64 (.f64 (.f64 (.f64 x x) y) #s(literal -1/4 binary64)) y (.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(* (pow y 2) (+ (* -1/4 (pow x 2)) (* y (+ (* -1/8 (pow x 3)) (* -1/16 (* (pow x 4) y))))))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) y) #s(literal -1/16 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) y (.f64 (.f64 x x) #s(literal -1/4 binary64))) y) y)
(* (pow y 2) (+ (* -1/4 (pow x 2)) (* y (+ (* -1/8 (pow x 3)) (* y (+ (* -1/16 (pow x 4)) (* -1/32 (* (pow x 5) y))))))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) y) #s(literal -1/32 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/16 binary64))) y (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) y (.f64 (*.f64 x x) #s(literal -1/4 binary64))) y) y)
(- x (* 2 (/ 1 x)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(-.f64 x (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 4 binary64) y) x)) x))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 4 binary64) y) x)) x)) (/.f64 (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) y) y))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) x) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) x)) (/.f64 (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) y) y))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)) (*.f64 y y))
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 x y) y)) (/.f64 #s(literal 1 binary64) y)) (.f64 y y))
(* y (- (* 1/2 x) (/ 1 y)))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)) y)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 4 binary64) y) x)) x)
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 x x)) y) (/.f64 #s(literal 4 binary64) x)) y) #s(literal 2 binary64)) x)
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 x x)) y) (/.f64 #s(literal 4 binary64) x)) y) #s(literal 2 binary64)) x) (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/ (+ (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) y)
(/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) y) x)
(/ (+ (* 2 (/ 1 x)) (+ (/ 4 (* (pow x 2) y)) (/ 8 (* (pow x 3) (pow y 2))))) y)
(/.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (*.f64 y y) x) x)) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 4 binary64) y) x)) x) y)
(/ (+ (* 2 (/ 1 x)) (+ (* 8 (/ 1 (* (pow x 3) (pow y 2)))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))) y)
(/.f64 (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (.f64 y y)) x) (/.f64 #s(literal 4 binary64) y)) (.f64 x x)) (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -2 binary64) x)) y)
(* y (+ (* 1/2 x) (/ 1 y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(/ (- (* 8 (/ 1 (* (pow x 2) y))) (* 4 (/ 1 x))) y)
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 x x)) y) (/.f64 #s(literal 4 binary64) x)) y)
(* y (+ (* 1/2 x) (+ (/ 1 y) (/ 2 (* x (pow y 2))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) y)) y)
(* y (+ (* 1/2 x) (+ (/ 1 y) (+ (* 2 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 (* (pow x 2) (pow y 3))))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) y) (/.f64 #s(literal -4 binary64) (.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) x)))) y)
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 x x)) y) (/.f64 #s(literal 4 binary64) x)) y) #s(literal 2 binary64)) x))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) y)) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) y) #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (.f64 x x))) y)) (/.f64 #s(literal 2 binary64) x))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) y)) y) y)
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) y)) y) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) y))) y) #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x))) y) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(+ 2 (* -1 (/ (- (* 4 (/ 1 x)) (* 8 (/ 1 (* (pow x 2) y)))) y)))
(-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) x)) x))
(* -1 (/ (- (* -1 (/ (+ (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) y))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal -4 binary64) (*.f64 x x))) y) (/.f64 #s(literal 2 binary64) x)) (neg.f64 y))
(* -1 (/ (- (* -1 (/ (+ (* 4 (/ 1 (pow x 2))) (+ (/ 8 (* (pow x 3) y)) (/ 16 (* (pow x 4) (pow y 2))))) y)) (* 2 (/ 1 x))) y))
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) y)) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) y) (/.f64 #s(literal -4 binary64) (.f64 x x))) y) #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (neg.f64 y))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
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(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) y)) y)
(* -1 (* y (+ (* -1 (/ (+ 1 (+ (/ 2 (* x y)) (/ 4 (* (pow x 2) (pow y 2))))) y)) (* -1/2 x))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) x) y) y) (neg.f64 y))))

rewrite84.0ms (1.9%)

Memory

-5.5MiB live, 129.5MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	298
0	66	277
1	260	250
0	1973	242

Stop Event

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

Counts

16 → 157

Calls

Call 1

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

Outputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)))
#s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)
(.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) #s(literal -1/2 binary64)))))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) y) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)))
(/.f64 (.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) #s(literal -1/2 binary64)))))
(/.f64 (.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) y (*.f64 #s(literal -1 binary64) y))
(fma.f64 #s(literal -1 binary64) y (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) y) x) y))
(fma.f64 y (.f64 (.f64 #s(literal 1/2 binary64) y) x) (*.f64 y #s(literal -1 binary64)))
(fma.f64 y #s(literal -1 binary64) (.f64 y (.f64 (*.f64 #s(literal 1/2 binary64) y) x)))
(+.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) y) (.f64 #s(literal -1 binary64) y))
(+.f64 (.f64 #s(literal -1 binary64) y) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) y))
(+.f64 (.f64 y (.f64 (.f64 #s(literal 1/2 binary64) y) x)) (.f64 y #s(literal -1 binary64)))
(+.f64 (.f64 y #s(literal -1 binary64)) (.f64 y (.f64 (.f64 #s(literal 1/2 binary64) y) x)))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) #s(literal -1/2 binary64)))))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (neg.f64 (-.f64 (.f64 (*.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 (*.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (.f64 (*.f64 y x) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (-.f64 (.f64 (*.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) y #s(literal -1 binary64))
(fma.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 1 binary64)) #s(literal 1/2 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
(fma.f64 y (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64))))
(-.f64 #s(literal -1 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) y)) x))
(-.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 y) x) #s(literal 1/2 binary64)))
(-.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y x)))
(-.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (.f64 #s(literal 1/2 binary64) y)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal -1/2 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal -1/2 binary64))))))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) y) x))
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(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) #s(literal -2 binary64)) x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) #s(literal -2 binary64)) x)) (+.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) #s(literal -2 binary64)) x)) x) (*.f64 x x))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 #s(approx (/ y (+ 1 (/ ( x y) 2))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) #s(literal -2 binary64)) x)) #s(literal 2 binary64))) (+.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) #s(literal -2 binary64)) x)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) #s(literal -2 binary64)) x)) #s(literal 3 binary64))) (fma.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) #s(literal -2 binary64)) x)) (+.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) #s(literal -2 binary64)) x)) x) (*.f64 x x)))
(-.f64 (/.f64 (.f64 x x) (+.f64 #s(approx (/ y (+ 1 (/ ( x y) 2))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) #s(literal -2 binary64)) x)) x)) (/.f64 (pow.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) #s(literal -2 binary64)) x)) #s(literal 2 binary64)) (+.f64 #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) #s(literal -2 binary64)) x)) x)))
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(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) #s(literal -2 binary64)) x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) #s(literal -2 binary64)) x))
(/.f64 (-.f64 (.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) (.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) (.f64 x x))) (.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -2 binary64) x))) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) (*.f64 x x)) (/.f64 #s(literal -2 binary64) x)))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) #s(literal 3 binary64)) #s(literal -8 binary64))) (neg.f64 (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x)) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x)) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x))) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x))))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x)) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) #s(literal 2 binary64)))) (/.f64 #s(literal -8 binary64) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x)) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal -4 binary64) y) x) (+.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x)) x) #s(literal -2 binary64)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) #s(literal -2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) #s(literal -1/2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))))
(.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) #s(literal -1 binary64)))
(pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)))))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 y #s(approx (+ 1 (/ ( x y) 2)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)))) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)))) (+.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)))) x) (*.f64 x x))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 y #s(approx (+ 1 (/ ( x y) 2)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)))) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)))) (+.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)))) x) (*.f64 x x)))
(-.f64 (/.f64 (.f64 x x) (+.f64 (/.f64 y #s(approx (+ 1 (/ ( x y) 2)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)))) x)) (/.f64 (pow.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)))) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)))) (+.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)))) x) (.f64 x x))) (/.f64 (pow.f64 (/.f64 y #s(approx (+ 1 (/ ( x y) 2)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)))) (+.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)))) x) (*.f64 x x))))
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 #s(approx (+ 1 (/ (* x y) 2)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64))))))
(/.f64 (neg.f64 y) (neg.f64 #s(approx (+ 1 (/ (* x y) 2)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)))))
(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 y) #s(approx (+ 1 (/ (* x y) 2)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)))))
(neg.f64 (/.f64 y (neg.f64 #s(approx (+ 1 (/ (* x y) 2)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64))))))
#s(approx (+ 1 (/ (* x y) 2)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)))
(.f64 (.f64 x (fabs.f64 y)) (fabs.f64 y))
(.f64 (.f64 (neg.f64 y) x) (neg.f64 y))
(.f64 (neg.f64 y) (.f64 (neg.f64 y) x))
(.f64 (fabs.f64 y) (.f64 (fabs.f64 y) x))
(.f64 (.f64 y y) x)
(.f64 (.f64 y x) y)
(.f64 y (.f64 y x))
(.f64 x (.f64 y y))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 #s(literal -4 binary64) y) x) (/.f64 (/.f64 #s(literal -4 binary64) y) x)) (.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x)) x) (/.f64 (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x)) x))) (+.f64 (/.f64 (/.f64 #s(literal -4 binary64) y) x) (/.f64 (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x)) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal -4 binary64) y) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x)) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 #s(literal -4 binary64) y) x) (/.f64 (/.f64 #s(literal -4 binary64) y) x) (fma.f64 (/.f64 (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x)) x) (/.f64 (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x)) x) (.f64 (/.f64 (/.f64 #s(literal -4 binary64) y) x) (/.f64 (/.f64 #s(literal -8 binary64) (.f64 (*.f64 y y) x)) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))))) (neg.f64 (neg.f64 x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal -4 binary64) y) x) (.f64 x (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x)))) (*.f64 x x))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x)) #s(literal 2 binary64))) (.f64 (+.f64 (/.f64 #s(literal -8 binary64) (.f64 (*.f64 y y) x)) (/.f64 #s(literal -4 binary64) y)) x))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -4 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x)) #s(literal 3 binary64))) (.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x)) (+.f64 (/.f64 #s(literal -8 binary64) (.f64 (*.f64 y y) x)) (/.f64 #s(literal -4 binary64) y)) (pow.f64 (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))) x))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x)))) (neg.f64 x))
(/.f64 (fma.f64 (.f64 #s(literal -4 binary64) (.f64 y y)) x (.f64 (neg.f64 y) #s(literal -8 binary64))) (.f64 (.f64 (.f64 (*.f64 y y) x) y) x))
(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x)
(neg.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x)))) x))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) (neg.f64 x)))
(-.f64 (/.f64 (/.f64 #s(literal -4 binary64) y) x) (/.f64 (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x)) x))
(.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) #s(literal -1/2 binary64)))))
(.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (/.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))))
(/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))))
(neg.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)))))
(.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) (*.f64 #s(literal 1/2 binary64) y)) x)
(.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) (*.f64 y x)) #s(literal 1/2 binary64))
(.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/2 binary64)) (*.f64 y x))
(.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) x) (*.f64 #s(literal 1/2 binary64) y))
(.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64))
(.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x)) (neg.f64 (.f64 (*.f64 #s(literal 1/2 binary64) y) x)))
(.f64 (fabs.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x)) (fabs.f64 (.f64 (*.f64 #s(literal 1/2 binary64) y) x)))
(.f64 (exp.f64 (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x))) (exp.f64 (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) y) x))))
(.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(.f64 #s(literal 1/4 binary64) (.f64 (.f64 y x) (.f64 y x)))
(.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))
(.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) (.f64 y y)))
(.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) (.f64 (*.f64 #s(literal 1/2 binary64) y) x))
(.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x (.f64 (*.f64 #s(literal 1/2 binary64) y) x)))
(.f64 (.f64 y x) (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) y) x)))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 y x) (.f64 (*.f64 #s(literal 1/2 binary64) y) x)))
(.f64 x (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 (*.f64 #s(literal 1/2 binary64) y) x)))
(pow.f64 (exp.f64 (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64))))

eval40.0ms (0.9%)

Memory: -3.6MiB live, 96.1MiB allocated; 15ms collecting garbage
Compiler: Compiled 10 503 to 1 485 computations (85.9% saved)

prune8.0ms (0.2%)

Memory

-18.6MiB live, 28.1MiB allocated; 3ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	253	2	255
Fresh	0	0	0
Picked	2	1	3
Done	1	4	5
Total	256	7	263

Accuracy

100.0%

Counts

263 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
▶	82.0%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (-.f64 (/.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)))))))
✓	49.2%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) #s(literal -2 binary64)) x)))
✓	62.8%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	75.7%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
✓	27.3%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
▶	28.1%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y)))

Compiler

Compiled 160 to 114 computations (28.8% saved)

simplify194.0ms (4.3%)

Memory

-7.9MiB live, 231.0MiB allocated; 36ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (-.f64 (/.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))))))
cost-diff	0	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (-.f64 (/.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)))))))
cost-diff	2	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)))
cost-diff	6	(-.f64 (/.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))))
cost-diff	0	(fma.f64 (*.f64 x #s(literal 1/2 binary64)) y #s(literal -1 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y)
cost-diff	0	#s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y))
cost-diff	0	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	259
0	48	259
1	83	259
2	205	259
3	723	259
4	1888	254
5	5027	230
0	8242	219

Stop Event

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

Calls

Call 1

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

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

localize149.0ms (3.3%)

Memory

4.6MiB live, 145.9MiB allocated; 25ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.22007753907376804	(.f64 (.f64 y x) (*.f64 y x))
accuracy	0.5944163090609415	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)))
accuracy	9.626879221029395	(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (-.f64 (/.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))))))
accuracy	17.080826364591662	(/.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)))
accuracy	0.0	(*.f64 x #s(literal 1/2 binary64))
accuracy	0.09765625	(.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y)
accuracy	21.56916162830967	#s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y))
accuracy	24.60845894831864	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y)))

Samples

80.0ms

256×

valid

Compiler

Compiled 162 to 29 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 28.0ms (42.4% of total)

ival-add: 27.0ms (40.8% of total)

ival-div: 7.0ms (10.6% of total)

ival-sub: 3.0ms (4.5% of total)

exact: 1.0ms (1.5% of total)

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

adjust: 0.0ms (0% of total)

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

series15.0ms (0.3%)

Memory

29.9MiB live, 29.9MiB allocated; 0ms collecting garbage

Counts

11 → 102

Calls

Call 1

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

Outputs
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(+ (* -1 y) (* 1/2 (* x (pow y 2))))
-1
(- (* 1/2 (* x y)) 1)
1
(+ 1 (* 1/2 (* x y)))
(+ 1 (* x (+ (* 1/2 y) (* x (+ (* -1/4 (pow y 2)) (* 1/4 (pow y 2)))))))
(+ 1 (* x (+ (* 1/2 y) (* x (+ (* -1/4 (pow y 2)) (+ (* 1/4 (pow y 2)) (* x (+ (* -1/8 (pow y 3)) (* 1/8 (pow y 3))))))))))
(- (* -1/2 (* x y)) 1)
(- (* x (- (* -1/4 (* x (pow y 2))) (* 1/2 y))) 1)
(- (* x (- (* x (- (* -1/8 (* x (pow y 3))) (* 1/4 (pow y 2)))) (* 1/2 y))) 1)
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(* 1/2 x)
(* -1/4 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1/4 (pow y 2)) (* -1/8 (* x (pow y 3)))))
(* (pow x 2) (+ (* -1/4 (pow y 2)) (* x (+ (* -1/8 (pow y 3)) (* -1/16 (* x (pow y 4)))))))
(* (pow x 2) (+ (* -1/4 (pow y 2)) (* x (+ (* -1/8 (pow y 3)) (* x (+ (* -1/16 (pow y 4)) (* -1/32 (* x (pow y 5)))))))))
(* (pow x 2) (pow y 2))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* 1/2 (* x (pow y 2)))
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))
(* 1/2 (* x y))
(* x (- (* 1/2 y) (/ 1 x)))
(* x (+ (* 1/2 y) (/ 1 x)))
(/ 2 (* x y))
(/ (+ (* 2 (/ 1 y)) (* 4 (/ 1 (* x (pow y 2))))) x)
(/ (+ (* 2 (/ 1 y)) (+ (/ 4 (* x (pow y 2))) (/ 8 (* (pow x 2) (pow y 3))))) x)
(/ (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (* (pow x 2) (pow y 3)))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 4)))) (/ 4 (* x (pow y 2)))))) x)
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(* x (+ (* 1/2 y) (+ (/ 1 x) (/ 2 (* (pow x 2) y)))))
(* x (+ (* 1/2 y) (+ (/ 1 x) (+ (* 2 (/ 1 (* (pow x 2) y))) (* 4 (/ 1 (* (pow x 3) (pow y 2))))))))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (/ (- (* -1 (/ (+ (* 8 (/ 1 (* x (pow y 3)))) (* 4 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 y))) x))
(* -1 (/ (- (* -1 (/ (+ (* 4 (/ 1 (pow y 2))) (+ (/ 8 (* x (pow y 3))) (/ 16 (* (pow x 2) (pow y 4))))) x)) (* 2 (/ 1 y))) x))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 (* x y)))) x)) (* -1/2 y))))
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (/ 2 (* x y)) (/ 4 (* (pow x 2) (pow y 2))))) x)) (* -1/2 y))))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(* y (- (* 1/2 (* x y)) 1))
(+ 1 (* y (+ (* 1/2 x) (* y (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2)))))))
(+ 1 (* y (+ (* 1/2 x) (* y (+ (* -1/4 (pow x 2)) (+ (* 1/4 (pow x 2)) (* y (+ (* -1/8 (pow x 3)) (* 1/8 (pow x 3))))))))))
(- (* y (- (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)
(- (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* 1/4 (pow x 2)))) (* 1/2 x))) 1)
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(* (pow y 2) (+ (* -1/4 (pow x 2)) (* -1/8 (* (pow x 3) y))))
(* (pow y 2) (+ (* -1/4 (pow x 2)) (* y (+ (* -1/8 (pow x 3)) (* -1/16 (* (pow x 4) y))))))
(* (pow y 2) (+ (* -1/4 (pow x 2)) (* y (+ (* -1/8 (pow x 3)) (* y (+ (* -1/16 (pow x 4)) (* -1/32 (* (pow x 5) y))))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(* y (- (* 1/2 x) (/ 1 y)))
(* y (+ (* 1/2 x) (/ 1 y)))
(/ (+ (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) y)
(/ (+ (* 2 (/ 1 x)) (+ (/ 4 (* (pow x 2) y)) (/ 8 (* (pow x 3) (pow y 2))))) y)
(/ (+ (* 2 (/ 1 x)) (+ (* 8 (/ 1 (* (pow x 3) (pow y 2)))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))) y)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(* y (+ (* 1/2 x) (+ (/ 1 y) (/ 2 (* x (pow y 2))))))
(* y (+ (* 1/2 x) (+ (/ 1 y) (+ (* 2 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 (* (pow x 2) (pow y 3))))))))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (/ (- (* -1 (/ (+ (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) y))
(* -1 (/ (- (* -1 (/ (+ (* 4 (/ 1 (pow x 2))) (+ (/ 8 (* (pow x 3) y)) (/ 16 (* (pow x 4) (pow y 2))))) y)) (* 2 (/ 1 x))) y))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(* -1 (* y (+ (* -1 (/ (+ 1 (* 2 (/ 1 (* x y)))) y)) (* -1/2 x))))
(* -1 (* y (+ (* -1 (/ (+ 1 (+ (/ 2 (* x y)) (/ 4 (* (pow x 2) (pow y 2))))) y)) (* -1/2 x))))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (* (+ (* (* x 1/2) y) -1) y) (+ (* (* x 1/2) y) -1) (- (/ (* (* (* y x) (* y x)) 1/4) (+ (* (* 1/2 y) x) -1)) (/ 1 (+ (* (* 1/2 y) x) -1))) (/ 1 (+ (* (* 1/2 y) x) -1)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (* x 1/2) (/ (* (* (* y x) (* y x)) 1/4) (+ (* (* 1/2 y) x) -1)) (* (* y x) (* y x)))
3.0ms	y	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (* (+ (* (* x 1/2) y) -1) y) (+ (* (* x 1/2) y) -1) (- (/ (* (* (* y x) (* y x)) 1/4) (+ (* (* 1/2 y) x) -1)) (/ 1 (+ (* (* 1/2 y) x) -1))) (/ 1 (+ (* (* 1/2 y) x) -1)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (* x 1/2) (/ (* (* (* y x) (* y x)) 1/4) (+ (* (* 1/2 y) x) -1)) (* (* y x) (* y x)))
3.0ms	x	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (* (+ (* (* x 1/2) y) -1) y) (+ (* (* x 1/2) y) -1) (- (/ (* (* (* y x) (* y x)) 1/4) (+ (* (* 1/2 y) x) -1)) (/ 1 (+ (* (* 1/2 y) x) -1))) (/ 1 (+ (* (* 1/2 y) x) -1)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (* x 1/2) (/ (* (* (* y x) (* y x)) 1/4) (+ (* (* 1/2 y) x) -1)) (* (* y x) (* y x)))
2.0ms	y	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (* (+ (* (* x 1/2) y) -1) y) (+ (* (* x 1/2) y) -1) (- (/ (* (* (* y x) (* y x)) 1/4) (+ (* (* 1/2 y) x) -1)) (/ 1 (+ (* (* 1/2 y) x) -1))) (/ 1 (+ (* (* 1/2 y) x) -1)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (* x 1/2) (/ (* (* (* y x) (* y x)) 1/4) (+ (* (* 1/2 y) x) -1)) (* (* y x) (* y x)))
1.0ms	x	@	0	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (* (+ (* (* x 1/2) y) -1) y) (+ (* (* x 1/2) y) -1) (- (/ (* (* (* y x) (* y x)) 1/4) (+ (* (* 1/2 y) x) -1)) (/ 1 (+ (* (* 1/2 y) x) -1))) (/ 1 (+ (* (* 1/2 y) x) -1)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (* x 1/2) (/ (* (* (* y x) (* y x)) 1/4) (+ (* (* 1/2 y) x) -1)) (* (* y x) (* y x)))

simplify169.0ms (3.8%)

Memory

16.2MiB live, 300.8MiB allocated; 58ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	468	1614
1	1578	1565
2	6122	1538
0	8468	1474

Stop Event

1×	iter limit
1×	node limit

Counts

102 → 100

Calls

Call 1

Inputs
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(+ (* -1 y) (* 1/2 (* x (pow y 2))))
-1
(- (* 1/2 (* x y)) 1)
1
(+ 1 (* 1/2 (* x y)))
(+ 1 (* x (+ (* 1/2 y) (* x (+ (* -1/4 (pow y 2)) (* 1/4 (pow y 2)))))))
(+ 1 (* x (+ (* 1/2 y) (* x (+ (* -1/4 (pow y 2)) (+ (* 1/4 (pow y 2)) (* x (+ (* -1/8 (pow y 3)) (* 1/8 (pow y 3))))))))))
(- (* -1/2 (* x y)) 1)
(- (* x (- (* -1/4 (* x (pow y 2))) (* 1/2 y))) 1)
(- (* x (- (* x (- (* -1/8 (* x (pow y 3))) (* 1/4 (pow y 2)))) (* 1/2 y))) 1)
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(* 1/2 x)
(* -1/4 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1/4 (pow y 2)) (* -1/8 (* x (pow y 3)))))
(* (pow x 2) (+ (* -1/4 (pow y 2)) (* x (+ (* -1/8 (pow y 3)) (* -1/16 (* x (pow y 4)))))))
(* (pow x 2) (+ (* -1/4 (pow y 2)) (* x (+ (* -1/8 (pow y 3)) (* x (+ (* -1/16 (pow y 4)) (* -1/32 (* x (pow y 5)))))))))
(* (pow x 2) (pow y 2))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* 1/2 (* x (pow y 2)))
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))
(* 1/2 (* x y))
(* x (- (* 1/2 y) (/ 1 x)))
(* x (+ (* 1/2 y) (/ 1 x)))
(/ 2 (* x y))
(/ (+ (* 2 (/ 1 y)) (* 4 (/ 1 (* x (pow y 2))))) x)
(/ (+ (* 2 (/ 1 y)) (+ (/ 4 (* x (pow y 2))) (/ 8 (* (pow x 2) (pow y 3))))) x)
(/ (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (* (pow x 2) (pow y 3)))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 4)))) (/ 4 (* x (pow y 2)))))) x)
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(* x (+ (* 1/2 y) (+ (/ 1 x) (/ 2 (* (pow x 2) y)))))
(* x (+ (* 1/2 y) (+ (/ 1 x) (+ (* 2 (/ 1 (* (pow x 2) y))) (* 4 (/ 1 (* (pow x 3) (pow y 2))))))))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (/ (- (* -1 (/ (+ (* 8 (/ 1 (* x (pow y 3)))) (* 4 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 y))) x))
(* -1 (/ (- (* -1 (/ (+ (* 4 (/ 1 (pow y 2))) (+ (/ 8 (* x (pow y 3))) (/ 16 (* (pow x 2) (pow y 4))))) x)) (* 2 (/ 1 y))) x))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 (* x y)))) x)) (* -1/2 y))))
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (/ 2 (* x y)) (/ 4 (* (pow x 2) (pow y 2))))) x)) (* -1/2 y))))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(* y (- (* 1/2 (* x y)) 1))
(+ 1 (* y (+ (* 1/2 x) (* y (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2)))))))
(+ 1 (* y (+ (* 1/2 x) (* y (+ (* -1/4 (pow x 2)) (+ (* 1/4 (pow x 2)) (* y (+ (* -1/8 (pow x 3)) (* 1/8 (pow x 3))))))))))
(- (* y (- (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)
(- (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* 1/4 (pow x 2)))) (* 1/2 x))) 1)
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(* (pow y 2) (+ (* -1/4 (pow x 2)) (* -1/8 (* (pow x 3) y))))
(* (pow y 2) (+ (* -1/4 (pow x 2)) (* y (+ (* -1/8 (pow x 3)) (* -1/16 (* (pow x 4) y))))))
(* (pow y 2) (+ (* -1/4 (pow x 2)) (* y (+ (* -1/8 (pow x 3)) (* y (+ (* -1/16 (pow x 4)) (* -1/32 (* (pow x 5) y))))))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(* y (- (* 1/2 x) (/ 1 y)))
(* y (+ (* 1/2 x) (/ 1 y)))
(/ (+ (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) y)
(/ (+ (* 2 (/ 1 x)) (+ (/ 4 (* (pow x 2) y)) (/ 8 (* (pow x 3) (pow y 2))))) y)
(/ (+ (* 2 (/ 1 x)) (+ (* 8 (/ 1 (* (pow x 3) (pow y 2)))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))) y)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(* y (+ (* 1/2 x) (+ (/ 1 y) (/ 2 (* x (pow y 2))))))
(* y (+ (* 1/2 x) (+ (/ 1 y) (+ (* 2 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 (* (pow x 2) (pow y 3))))))))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (/ (- (* -1 (/ (+ (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) y))
(* -1 (/ (- (* -1 (/ (+ (* 4 (/ 1 (pow x 2))) (+ (/ 8 (* (pow x 3) y)) (/ 16 (* (pow x 4) (pow y 2))))) y)) (* 2 (/ 1 x))) y))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(* -1 (* y (+ (* -1 (/ (+ 1 (* 2 (/ 1 (* x y)))) y)) (* -1/2 x))))
(* -1 (* y (+ (* -1 (/ (+ 1 (+ (/ 2 (* x y)) (/ 4 (* (pow x 2) (pow y 2))))) y)) (* -1/2 x))))

Outputs
(* -1 y)
(neg.f64 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x (neg.f64 y))
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(-.f64 (.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -1/4 binary64) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(-.f64 (.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/8 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64))) x (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x (neg.f64 y))
(+ (* -1 y) (* 1/2 (* x (pow y 2))))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) y (neg.f64 y))
-1
#s(literal -1 binary64)
(- (* 1/2 (* x y)) 1)
(-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 y) (* x (+ (* -1/4 (pow y 2)) (* 1/4 (pow y 2)))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 y) (* x (+ (* -1/4 (pow y 2)) (+ (* 1/4 (pow y 2)) (* x (+ (* -1/8 (pow y 3)) (* 1/8 (pow y 3))))))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(- (* -1/2 (* x y)) 1)
(-.f64 (.f64 #s(literal -1/2 binary64) (.f64 y x)) #s(literal 1 binary64))
(- (* x (- (* -1/4 (* x (pow y 2))) (* 1/2 y))) 1)
(-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 (.f64 (.f64 x x) y) #s(literal -1/4 binary64))) y) #s(literal 1 binary64))
(- (* x (- (* x (- (* -1/8 (* x (pow y 3))) (* 1/4 (pow y 2)))) (* 1/2 y))) 1)
(-.f64 (.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) y (.f64 (.f64 x x) #s(literal -1/4 binary64))) y (*.f64 #s(literal -1/2 binary64) x)) y) #s(literal 1 binary64))
y
(+ y (* -1/2 (* x (pow y 2))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) x #s(literal 1 binary64)) y)
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y y) (.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) x y)
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y y) (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) x))) x)) x y)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1/4 (* (pow x 2) (pow y 2)))
(.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 y y)) x) x)
(* (pow x 2) (+ (* -1/4 (pow y 2)) (* -1/8 (* x (pow y 3)))))
(fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 y y)) x) x (.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(* (pow x 2) (+ (* -1/4 (pow y 2)) (* x (+ (* -1/8 (pow y 3)) (* -1/16 (* x (pow y 4)))))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) x) (.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) x (.f64 #s(literal -1/4 binary64) (.f64 y y))) x) x)
(* (pow x 2) (+ (* -1/4 (pow y 2)) (* x (+ (* -1/8 (pow y 3)) (* x (+ (* -1/16 (pow y 4)) (* -1/32 (* x (pow y 5)))))))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 5 binary64)) x) #s(literal -1/32 binary64) (.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 4 binary64)))) x (.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) x (.f64 #s(literal -1/4 binary64) (*.f64 y y))) x) x)
(* (pow x 2) (pow y 2))
(.f64 (.f64 (*.f64 y y) x) x)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x)
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 y x)) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x)
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 y x)) #s(literal 2 binary64)) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y y))) x)
(* x (+ 1 (* 1/2 (pow y 2))))
(.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(fma.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) (/.f64 y x)) x)
(* 1/2 (* x (pow y 2)))
(.f64 (.f64 (*.f64 y y) x) #s(literal 1/2 binary64))
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))
(.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (.f64 y y) (/.f64 y x)))
(* 1/2 (* x y))
(.f64 (.f64 #s(literal 1/2 binary64) x) y)
(* x (- (* 1/2 y) (/ 1 x)))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x)) x)
(* x (+ (* 1/2 y) (/ 1 x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(/ 2 (* x y))
(/.f64 (/.f64 #s(literal 2 binary64) y) x)
(/ (+ (* 2 (/ 1 y)) (* 4 (/ 1 (* x (pow y 2))))) x)
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x) y)
(/ (+ (* 2 (/ 1 y)) (+ (/ 4 (* x (pow y 2))) (/ 8 (* (pow x 2) (pow y 3))))) x)
(/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 8 binary64) x) y)) (*.f64 y y)) x) (/.f64 #s(literal -2 binary64) y)) x)
(/ (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (* (pow x 2) (pow y 3)))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 4)))) (/ 4 (* x (pow y 2)))))) x)
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 8 binary64) x) y)) (*.f64 y y)) x)) (/.f64 #s(literal -2 binary64) y)) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x) #s(literal 2 binary64)) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/.f64 (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) x)
(* x (+ (* 1/2 y) (+ (/ 1 x) (/ 2 (* (pow x 2) y)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) x)) x)
(* x (+ (* 1/2 y) (+ (/ 1 x) (+ (* 2 (/ 1 (* (pow x 2) y))) (* 4 (/ 1 (* (pow x 3) (pow y 2))))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) y (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) x) (/.f64 #s(literal -4 binary64) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y)))) x)
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1 binary64)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(.f64 (neg.f64 x) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(.f64 (neg.f64 x) (-.f64 (/.f64 (+.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)))) x) #s(literal 2 binary64)) (.f64 x x)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y y) (/.f64 y x)) #s(literal 1 binary64)))
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))
(.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (.f64 y y) (/.f64 y x)))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(* -1 (/ (- (* -1 (/ (+ (* 8 (/ 1 (* x (pow y 3)))) (* 4 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 y))) x))
(/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 8 binary64) x) y)) (*.f64 y y)) (neg.f64 x)) (/.f64 #s(literal 2 binary64) y)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (+ (* 4 (/ 1 (pow y 2))) (+ (/ 8 (* x (pow y 3))) (/ 16 (* (pow x 2) (pow y 4))))) x)) (* 2 (/ 1 y))) x))
(/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x)) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 8 binary64) x) y)) (*.f64 y y))) x) #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) y)) (neg.f64 x))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x) #s(literal -1 binary64) #s(literal -2 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) x)) (/.f64 #s(literal 8 binary64) (.f64 y y))) x) #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) y)) x) #s(literal -1 binary64) #s(literal -2 binary64)) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 (* x y)))) x)) (* -1/2 y))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) x)) x)
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (/ 2 (* x y)) (/ 4 (* (pow x 2) (pow y 2))))) x)) (* -1/2 y))))
(.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) y (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 y x)) #s(literal 2 binary64)) x) y) y) (neg.f64 x))))
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) #s(literal 1 binary64)) y x)
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal -1/4 binary64) (.f64 #s(literal 1/2 binary64) x)) y) #s(literal 1 binary64)) y x)
(* y (- (* 1/2 (* x y)) 1))
(.f64 (-.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal 1 binary64)) y)
(+ 1 (* y (+ (* 1/2 x) (* y (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2)))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* y (+ (* 1/2 x) (* y (+ (* -1/4 (pow x 2)) (+ (* 1/4 (pow x 2)) (* y (+ (* -1/8 (pow x 3)) (* 1/8 (pow x 3))))))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(- (* y (- (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)
(-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 (.f64 (.f64 x x) y) #s(literal -1/4 binary64))) y) #s(literal 1 binary64))
(- (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* 1/4 (pow x 2)))) (* 1/2 x))) 1)
(-.f64 (.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) y (.f64 (.f64 x x) #s(literal -1/4 binary64))) y (*.f64 #s(literal -1/2 binary64) x)) y) #s(literal 1 binary64))
(* y (+ 1 (* -1/2 (* x y))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) x #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) y)) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) y (.f64 (*.f64 x x) #s(literal 1/4 binary64))) y)) y #s(literal 1 binary64)) y)
(* (pow y 2) (+ (* -1/4 (pow x 2)) (* -1/8 (* (pow x 3) y))))
(fma.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 y y)) x) x (.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(* (pow y 2) (+ (* -1/4 (pow x 2)) (* y (+ (* -1/8 (pow x 3)) (* -1/16 (* (pow x 4) y))))))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) y) #s(literal -1/16 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) y (.f64 (.f64 x x) #s(literal -1/4 binary64))) y) y)
(* (pow y 2) (+ (* -1/4 (pow x 2)) (* y (+ (* -1/8 (pow x 3)) (* y (+ (* -1/16 (pow x 4)) (* -1/32 (* (pow x 5) y))))))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) y) #s(literal -1/32 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/16 binary64))) y (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) y (.f64 (*.f64 x x) #s(literal -1/4 binary64))) y) y)
(- x (* 2 (/ 1 x)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(-.f64 x (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (.f64 y x))) x)) (/.f64 #s(literal 8 binary64) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y)))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) x) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 y x)) #s(literal 2 binary64)) x)) (/.f64 #s(literal 8 binary64) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)) (*.f64 y y))
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 x (.f64 y y))) (/.f64 #s(literal 1 binary64) y)) (*.f64 y y))
(* y (- (* 1/2 x) (/ 1 y)))
(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)) y)
(* y (+ (* 1/2 x) (/ 1 y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(/ (+ (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) y)
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x) y)
(/ (+ (* 2 (/ 1 x)) (+ (/ 4 (* (pow x 2) y)) (/ 8 (* (pow x 3) (pow y 2))))) y)
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 y x)) #s(literal 2 binary64)) x) (/.f64 #s(literal -8 binary64) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y))) y)
(/ (+ (* 2 (/ 1 x)) (+ (* 8 (/ 1 (* (pow x 3) (pow y 2)))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))) y)
(/.f64 (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) y)) y) (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -2 binary64) x)) y)
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)) (/.f64 #s(literal 4 binary64) (.f64 x x))) y) (/.f64 #s(literal 2 binary64) x))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)) (/.f64 #s(literal 4 binary64) (.f64 x x))) y) (/.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))))
(* y (+ (* 1/2 x) (+ (/ 1 y) (/ 2 (* x (pow y 2))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) y)) y)
(* y (+ (* 1/2 x) (+ (/ 1 y) (+ (* 2 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 (* (pow x 2) (pow y 3))))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) x (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) y) (/.f64 #s(literal -4 binary64) (.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) x)))) y)
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 (-.f64 x (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)) (/.f64 #s(literal 4 binary64) (.f64 x x))) y)) (/.f64 #s(literal 2 binary64) x))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) y)) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) y) #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (.f64 x x))) y)) (/.f64 #s(literal 2 binary64) x))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) y)) y) y)
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(.f64 (neg.f64 y) (-.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(* -1 (/ (- (* -1 (/ (+ (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) y))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal -4 binary64) (*.f64 x x))) y) (/.f64 #s(literal 2 binary64) x)) (neg.f64 y))
(* -1 (/ (- (* -1 (/ (+ (* 4 (/ 1 (pow x 2))) (+ (/ 8 (* (pow x 3) y)) (/ 16 (* (pow x 4) (pow y 2))))) y)) (* 2 (/ 1 x))) y))
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) y)) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) y) (/.f64 #s(literal -4 binary64) (.f64 x x))) y) #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (neg.f64 y))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (/.f64 #s(literal 8 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y))) y) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) y))) y) #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (.f64 x x))) y) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(* -1 (* y (+ (* -1 (/ (+ 1 (* 2 (/ 1 (* x y)))) y)) (* -1/2 x))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) y)) y)
(* -1 (* y (+ (* -1 (/ (+ 1 (+ (/ 2 (* x y)) (/ 4 (* (pow x 2) (pow y 2))))) y)) (* -1/2 x))))
(.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 y x)) #s(literal 2 binary64)) x) y) y) (neg.f64 y))))

rewrite104.0ms (2.3%)

Memory

-26.5MiB live, 110.3MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	195
0	48	164
1	189	137
0	1355	132

Stop Event

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

Counts

11 → 130

Calls

Call 1

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

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

eval49.0ms (1.1%)

Memory: 5.6MiB live, 74.9MiB allocated; 27ms collecting garbage
Compiler: Compiled 8 763 to 1 282 computations (85.4% saved)

prune13.0ms (0.3%)

Memory

-18.1MiB live, 26.7MiB allocated; 9ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	214	0	214
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	214	7	221

Accuracy

100.0%

Counts

221 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
✓	82.0%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (-.f64 (/.f64 (.f64 (.f64 (.f64 y x) (.f64 y x)) #s(literal 1/4 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)))))))
✓	49.2%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) #s(literal -2 binary64)) x)))
✓	62.8%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	75.7%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
✓	27.3%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
✓	28.1%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 (.f64 x #s(literal 1/2 binary64)) y #s(literal -1 binary64)) y)))

Compiler

Compiled 447 to 202 computations (54.8% saved)

regimes16.0ms (0.4%)

Memory

-11.0MiB live, 34.8MiB allocated; 7ms collecting garbage

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
99.9%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes8.0ms (0.2%)

Memory

20.3MiB live, 20.3MiB allocated; 0ms collecting garbage

Counts

6 → 3

Calls

Call 1

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

Outputs

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

#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
85.9%	3	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
89.9%	3	`x`
92.0%	3	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes4.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))

Outputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))

Calls

3 calls:

1.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
75.7%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
75.7%	1	`x`
75.7%	1	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes6.0ms (0.1%)

Memory

-35.8MiB live, 10.6MiB allocated; 3ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

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

Calls

3 calls:

3.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
27.3%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
27.3%	1	`y`
27.3%	1	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch45.0ms (1%)

Memory

-6.4MiB live, 47.9MiB allocated; 9ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.120621640282676e+114	7.6450681404539e+127
10.0ms	-3.283810619963441e+144	-1.1071911456787887e+143

Samples

15.0ms

272×

valid

Compiler

Compiled 524 to 439 computations (16.2% saved)

Precisions

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

ival-div: 4.0ms (45.3% of total)

ival-mult: 2.0ms (22.6% of total)

ival-sub: 1.0ms (11.3% of total)

ival-add: 1.0ms (11.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify37.0ms (0.8%)

Memory

41.6MiB live, 41.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	86
1	47	86
2	67	86
3	118	86
4	345	86
5	2552	86

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -630000000000000006295029591822649938984910169084933204869417082312822783203724271297260318883552403301567941478883091573402316042644589425721344 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 y #s(literal 4500000000000000017523355187808507424266852835321863681687901270501653541022906110853562273832691357178612015351988224 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Outputs
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -630000000000000006295029591822649938984910169084933204869417082312822783203724271297260318883552403301567941478883091573402316042644589425721344 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 y #s(literal 4500000000000000017523355187808507424266852835321863681687901270501653541022906110853562273832691357178612015351988224 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))))
(if (or (<=.f64 y #s(literal -630000000000000006295029591822649938984910169084933204869417082312822783203724271297260318883552403301567941478883091573402316042644589425721344 binary64)) (not (<=.f64 y #s(literal 4500000000000000017523355187808507424266852835321863681687901270501653541022906110853562273832691357178612015351988224 binary64)))) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

derivations198.0ms (4.4%)

Memory

-34.1MiB live, 157.8MiB allocated; 27ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 86 to 31 computations (64% saved)

preprocess40.0ms (0.9%)

Memory: -5.4MiB live, 39.3MiB allocated; 6ms collecting garbage
Compiler: Compiled 194 to 80 computations (58.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze28.0ms (0.6%)

sample1.2s (26.3%)

explain176.0ms (3.9%)

preprocess293.0ms (6.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify208.0ms (4.6%)

localize25.0ms (0.5%)

series8.0ms (0.2%)

simplify189.0ms (4.2%)

rewrite79.0ms (1.8%)

eval10.0ms (0.2%)

prune6.0ms (0.1%)

simplify187.0ms (4.2%)

localize151.0ms (3.4%)

series9.0ms (0.2%)

simplify155.0ms (3.5%)

rewrite56.0ms (1.2%)

eval21.0ms (0.5%)

prune5.0ms (0.1%)

simplify162.0ms (3.6%)

localize134.0ms (3%)

series27.0ms (0.6%)

simplify188.0ms (4.2%)

rewrite84.0ms (1.9%)

eval40.0ms (0.9%)

prune8.0ms (0.2%)

simplify194.0ms (4.3%)

localize149.0ms (3.3%)

series15.0ms (0.3%)

simplify169.0ms (3.8%)

rewrite104.0ms (2.3%)

eval49.0ms (1.1%)

prune13.0ms (0.3%)

regimes16.0ms (0.4%)

regimes8.0ms (0.2%)

regimes4.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch45.0ms (1%)

simplify37.0ms (0.8%)

derivations198.0ms (4.4%)

preprocess40.0ms (0.9%)

end0.0ms (0%)

Profiling