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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze89.0ms (0.4%)

Memory

-0.4MiB live, 37.0MiB allocated

Algorithm

1×

Search

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

sample15.3s (72.7%)

Memory

-1.0MiB live, 1 274.6MiB allocated

Samples

15.0s	8 254×	0	valid
0.0ms	1×	2	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 5.2s

ival-add: 4.8s (92.8% of total)

ival-div: 170.0ms (3.3% of total)

ival-mult: 108.0ms (2.1% of total)

ival-sub: 76.0ms (1.5% of total)

exact: 9.0ms (0.2% of total)

ival-true: 7.0ms (0.1% of total)

ival-assert: 4.0ms (0.1% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain162.0ms (0.8%)

Memory

-4.7MiB live, 230.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
29	-	-	`(/.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

64.0ms

512×

valid

Compiler

Compiled 132 to 40 computations (69.7% saved)

Precisions

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

ival-div: 7.0ms (36.4% of total)

ival-add: 5.0ms (26% of total)

ival-mult: 4.0ms (20.8% of total)

ival-sub: 2.0ms (10.4% of total)

exact: 1.0ms (5.2% of total)

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

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

preprocess72.0ms (0.3%)

Memory

20.3MiB live, 64.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	63
1	57	61
2	121	57
3	253	55
4	541	55
5	888	55
6	995	55
7	1019	55
8	1029	55
9	1033	55
0	9	11
0	14	11
1	22	11
2	33	11
3	48	11
4	90	11
5	163	11
6	284	11
7	379	11
8	589	11
9	679	11
10	801	11
11	837	11
12	1000	11
13	1009	11
0	1009	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

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

prune43.0ms (0.2%)

Memory

-35.1MiB live, 1.1MiB allocated

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)

simplify29.0ms (0.1%)

Memory

35.7MiB live, 35.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
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	128	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
cost-diff	384	(/.f64 (*.f64 x y) #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	39
0	14	39
1	22	39
2	33	39
3	48	39
4	90	39
5	163	39
6	284	39
7	379	39
8	589	39
9	679	39
10	801	39
11	837	39
12	1000	39
13	1009	39
0	1009	36

Stop Event

1×	iter limit
1×	saturated
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 y (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))))
x
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
y
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 y x))
(*.f64 x y)
(*.f64 y x)
#s(literal 2 binary64)

localize34.0ms (0.2%)

Memory

4.9MiB live, 41.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
accuracy	0.0	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
accuracy	0.0	(*.f64 x y)
accuracy	6.920172112439218	(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))

Samples

21.0ms

256×

valid

Compiler

Compiled 80 to 20 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 3.0ms (35.9% of total)

ival-mult: 2.0ms (23.9% of total)

ival-sub: 1.0ms (12% of total)

ival-add: 1.0ms (12% of total)

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

exact: 0.0ms (0% of total)

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

series32.0ms (0.2%)

Memory

-24.9MiB live, 11.7MiB allocated

Counts

5 → 47

Calls

Call 1

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

Outputs
(* 1/2 (* x y))
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)))))
(* 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
25.0ms	x	@	inf	((/ (* x y) 2) (+ 1 (/ (* x y) 2)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (* x y))
1.0ms	y	@	0	((/ (* x y) 2) (+ 1 (/ (* x y) 2)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (* x y))
1.0ms	x	@	0	((/ (* x y) 2) (+ 1 (/ (* x y) 2)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (* x y))
1.0ms	y	@	inf	((/ (* x y) 2) (+ 1 (/ (* x y) 2)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (* x y))
1.0ms	x	@	-inf	((/ (* x y) 2) (+ 1 (/ (* x y) 2)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (* x y))

simplify281.0ms (1.3%)

Memory

-10.6MiB live, 152.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	702
1	738	677
2	1940	654
3	6075	648
0	8423	614

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 45

Calls

Call 1

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

rewrite237.0ms (1.1%)

Memory

29.9MiB live, 194.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
0	14	35
1	63	35
2	500	35
3	6873	35
0	8527	32

Stop Event

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

Counts

5 → 279

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) x) y)
(.f64 (neg.f64 x) (.f64 y #s(literal -1/2 binary64)))
(*.f64 (neg.f64 x) (/.f64 y #s(literal -2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 x) y))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(.f64 (.f64 #s(literal 1/2 binary64) y) x)
(.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 y x))
(*.f64 (neg.f64 y) (/.f64 x #s(literal -2 binary64)))
(.f64 (neg.f64 y) (.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 (neg.f64 x) y) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 1 binary64))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(.f64 y (.f64 (neg.f64 x) #s(literal -1/2 binary64)))
(.f64 y (.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(.f64 y (.f64 #s(literal 1/2 binary64) x))
(.f64 x (.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 y x)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 x) y) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y x)))
(/.f64 (*.f64 y x) #s(literal 2 binary64))
(/.f64 x (/.f64 #s(literal 2 binary64) y))
(neg.f64 (.f64 #s(literal -1/2 binary64) (.f64 y x)))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y x)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 y x))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 3 binary64)))) (fma.f64 (.f64 y x) (fma.f64 #s(literal 1/4 binary64) (.f64 y x) #s(literal 1/2 binary64)) #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)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)))))
(.f64 (/.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 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 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 (pow.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #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 #s(literal -1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 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))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #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 (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #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)) (pow.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))) (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 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 6 binary64))) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 3 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)) (fma.f64 #s(literal -1/2 binary64) (*.f64 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 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)))) (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)))))) (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)))) (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)))) (.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 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 (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
(/.f64 (neg.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 (neg.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 2 binary64)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 y x)) #s(literal 4 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))))
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(/.f64 (.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64)))
(/.f64 (.f64 (/.f64 y (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) (pow.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (/.f64 y (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 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #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))) (pow.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) y))
(/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) y))
(/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
(neg.f64 (.f64 (/.f64 y (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(neg.f64 (/.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))))
(fma.f64 (/.f64 y (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 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (.f64 #s(literal -1/2 binary64) (*.f64 y x))))
(fma.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) (.f64 (/.f64 y (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 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) #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))) (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 y x)) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) (/.f64 y (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 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 binary64) (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 y x)) (/.f64 y (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal -1 binary64))) (/.f64 y (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))))
(exp.f64 (.f64 (-.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (*.f64 y x))) (log.f64 y)) #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 y x)) (/.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 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) (/.f64 y (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 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (.f64 (/.f64 y (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 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 y x))))
(+.f64 (.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)))) (.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) #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))) (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64)))))
(*.f64 (neg.f64 (neg.f64 x)) y)
(*.f64 (neg.f64 x) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) y))
(*.f64 (neg.f64 y) (neg.f64 x))
(.f64 #s(literal 1 binary64) (.f64 y x))
(.f64 (.f64 y x) #s(literal 1 binary64))
(*.f64 y (neg.f64 (neg.f64 x)))
(*.f64 y x)
(*.f64 x y)
(neg.f64 (*.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) y))

eval57.0ms (0.3%)

Memory: -14.0MiB live, 68.8MiB allocated
Compiler: Compiled 8 357 to 1 088 computations (87% saved)

prune19.0ms (0.1%)

Memory

-19.6MiB live, 19.7MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	297	8	305
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	298	8	306

Accuracy

100.0%

Counts

306 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	85.2%	(fma.f64 (/.f64 (neg.f64 y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) x)
▶	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
▶	52.2%	(-.f64 x (.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64))))
▶	60.8%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)))
▶	65.1%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
	62.5%	#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))
	73.0%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
▶	23.9%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Compiler

Compiled 276 to 194 computations (29.7% saved)

simplify457.0ms (2.2%)

Memory

10.6MiB live, 288.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64))
cost-diff	0	(-.f64 x (.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64))))
cost-diff	320	(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) y)
cost-diff	14016	(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64)))
cost-diff	0	(-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64))
cost-diff	0	(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)
cost-diff	0	#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x))
cost-diff	0	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) 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	(neg.f64 y)
cost-diff	0	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff	0	(/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
cost-diff	0	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	225
0	50	199
1	89	199
2	134	199
3	200	199
4	318	199
5	558	194
6	1084	192
7	1856	192
8	3092	192
9	4375	192
10	5332	192
11	5641	192
12	5692	192
13	5766	192
14	7634	192
0	8078	190

Stop Event

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

Calls

Call 1

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

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

localize141.0ms (0.7%)

Memory

26.3MiB live, 102.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y x)
accuracy	0.03515625	(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64))
accuracy	0.240566259768442	(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64)))
accuracy	2.8392943043283436	(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) y)
accuracy	0.0	(*.f64 y x)
accuracy	0.0390625	(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)
accuracy	0.10017131324130751	(/.f64 #s(literal -4 binary64) (*.f64 y x))
accuracy	14.720249601799978	#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) 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	14.336327807898899	#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
accuracy	0.0	(neg.f64 y)
accuracy	21.771226654161257	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
accuracy	0.0	(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))
accuracy	0.0	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
accuracy	0.0	(*.f64 y x)
accuracy	2.865802356346931	(/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))

Samples

97.0ms	117×	0	valid
25.0ms	139×	0	invalid

Compiler

Compiled 431 to 65 computations (84.9% saved)

Precisions

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

ival-div: 32.0ms (59.3% of total)

ival-mult: 8.0ms (14.8% of total)

ival-add: 4.0ms (7.4% of total)

ival-sub: 4.0ms (7.4% of total)

ival-pow: 4.0ms (7.4% of total)

exact: 1.0ms (1.9% of total)

ival-neg: 1.0ms (1.9% of total)

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

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

series82.0ms (0.4%)

Memory

-12.2MiB live, 29.3MiB allocated

Counts

18 → 86

Calls

Call 1

Inputs
(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(/.f64 y (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(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
(neg.f64 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)
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)))
#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x))
(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)
(-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) y)
(-.f64 x (.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64))))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64))
(/.f64 #s(literal -4 binary64) (*.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)
(/ -4 (* (pow x 2) y))
(/ (- (* 2 x) (* 4 (/ 1 y))) (pow x 2))
(/ -4 (* x y))
(/ (- (* 2 x) (* 4 (/ 1 y))) x)
(/ 1 y)
(+ (* 1/2 x) (/ 1 y))
(sqrt y)
(+ (sqrt y) (* -1/4 (* x (sqrt (pow y 3)))))
(+ (sqrt y) (* x (+ (* -1/2 (* (* x (+ (* -1/4 (pow y 3)) (* 1/16 (pow y 3)))) (sqrt (/ 1 y)))) (* -1/4 (sqrt (pow y 3))))))
(+ (sqrt y) (* x (+ (* -1/4 (sqrt (pow y 3))) (* x (+ (* -1/2 (* (sqrt (/ 1 y)) (+ (* -1/4 (pow y 3)) (* 1/16 (pow y 3))))) (* -1/2 (* (* x (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1/4 (pow y 3)) (* 1/16 (pow y 3))))))) (sqrt (/ 1 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)))
2
(- 2 (* 4 (/ 1 (* x y))))
(* 1/2 x)
(* x (+ 1/2 (/ 1 (* x y))))
(* (sqrt (/ 1 x)) (sqrt 2))
(+ (* -2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* y (sqrt 2))))) (* (sqrt (/ 1 x)) (sqrt 2)))
(+ (* -2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* y (sqrt 2))))) (+ (* 4 (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow y 2) (sqrt 2))))) (* (sqrt (/ 1 x)) (sqrt 2))))
(+ (* -2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* y (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 4 (/ x (* (pow y 2) (pow (sqrt 2) 2)))) (* 16 (/ 1 (pow y 3)))) (sqrt 2)))) (+ (* 4 (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow y 2) (sqrt 2))))) (* (sqrt (/ 1 x)) (sqrt 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 (/ (- (* 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))))
(* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1)))
(+ (* -2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (* y (sqrt -2))))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1))))
(+ (* -2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (* y (sqrt -2))))) (+ (* 4 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (* (pow y 2) (sqrt -2))))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1)))))
(+ (* -2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (* y (sqrt -2))))) (+ (* -1 (/ (+ (* -4 (* (sqrt x) (/ (sqrt -1) (* (pow y 2) (sqrt -2))))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -4 (/ x (* (pow y 2) (pow (sqrt -2) 2)))) (* 16 (/ 1 (pow y 3))))) (sqrt -2))))) (pow x 3))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1)))))
(+ 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)))))
(/ (- (* 2 (/ y x)) (* 4 (/ 1 (pow x 2)))) y)
(/ (- (* 2 y) (* 4 (/ 1 x))) y)
(/ (+ 1 (* 1/2 (* x y))) y)
(+ (sqrt y) (* (pow y 2) (+ (* -1/4 (* x (sqrt (/ 1 y)))) (* 1/8 (* (pow x 2) (sqrt y))))))
(+ (sqrt y) (* (pow y 2) (+ (* -1/4 (* x (sqrt (/ 1 y)))) (* y (+ (* -1/2 (* (sqrt y) (+ (* 1/16 (/ (pow x 2) y)) (* 1/8 (pow x 3))))) (* 1/8 (* (pow x 2) (sqrt (/ 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))))
(* y (+ (* 1/2 x) (/ 1 y)))
(+ (* -2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* y (sqrt 2))))) (+ (* 1/2 (* (sqrt x) (/ (- (* 8 (/ 1 (pow x 3))) (* 4 (/ 1 (* (pow x 3) (pow (sqrt 2) 2))))) (* (pow y 2) (sqrt 2))))) (* (sqrt (/ 1 x)) (sqrt 2))))
(+ (* -2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* y (sqrt 2))))) (+ (* -1/2 (* (sqrt x) (/ (+ (* -2 (/ (- (* 8 (/ 1 (pow x 3))) (* 4 (/ 1 (* (pow x 3) (pow (sqrt 2) 2))))) (* x (pow (sqrt 2) 2)))) (* 16 (/ 1 (pow x 4)))) (* (pow y 3) (sqrt 2))))) (+ (* 1/2 (* (sqrt x) (/ (- (* 8 (/ 1 (pow x 3))) (* 4 (/ 1 (* (pow x 3) (pow (sqrt 2) 2))))) (* (pow y 2) (sqrt 2))))) (* (sqrt (/ 1 x)) (sqrt 2)))))
(- (+ 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))))
(* -2 (/ (pow (sqrt -1) 2) x))
(+ (* -2 (/ (pow (sqrt -1) 2) x)) (* 4 (/ (pow (sqrt -1) 2) (* (pow x 2) y))))
(+ (* -2 (/ (pow (sqrt -1) 2) x)) (* -1 (/ (- (* 8 (/ (pow (sqrt -1) 2) (* (pow x 3) y))) (* 4 (/ (pow (sqrt -1) 2) (pow x 2)))) y)))
(+ (* -2 (/ (pow (sqrt -1) 2) x)) (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow (sqrt -1) 2) (* (pow x 4) y))) (* 8 (/ (pow (sqrt -1) 2) (pow x 3)))) y)) (* 4 (/ (pow (sqrt -1) 2) (pow x 2)))) y)))
(- x (* -2 (/ (pow (sqrt -1) 2) x)))
(- (+ x (* -4 (/ (pow (sqrt -1) 2) (* (pow x 2) y)))) (* -2 (/ (pow (sqrt -1) 2) x)))
(- (+ x (* -1 (/ (+ (* -8 (/ (pow (sqrt -1) 2) (* (pow x 3) y))) (* 4 (/ (pow (sqrt -1) 2) (pow x 2)))) y))) (* -2 (/ (pow (sqrt -1) 2) x)))
(- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow (sqrt -1) 2) (* (pow x 4) y))) (* 8 (/ (pow (sqrt -1) 2) (pow x 3)))) y)) (* 4 (/ (pow (sqrt -1) 2) (pow x 2)))) y))) (* -2 (/ (pow (sqrt -1) 2) x)))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (/ (- (* 8 (/ 1 (pow x 3))) (* 4 (/ 1 (* (pow x 3) (pow (sqrt 2) 2))))) (* y (sqrt 2))))) (* 2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 2))))) y)) (* (sqrt (/ 1 x)) (sqrt 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (/ (- (* 16 (/ 1 (pow x 4))) (* 2 (/ (- (* 8 (/ 1 (pow x 3))) (* 4 (/ 1 (* (pow x 3) (pow (sqrt 2) 2))))) (* x (pow (sqrt 2) 2))))) (* y (sqrt 2))))) (* 1/2 (* (sqrt x) (/ (- (* 8 (/ 1 (pow x 3))) (* 4 (/ 1 (* (pow x 3) (pow (sqrt 2) 2))))) (sqrt 2))))) y)) (* 2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 2))))) y)) (* (sqrt (/ 1 x)) (sqrt 2)))

Calls

6 calls:

Time	Variable		Point	Expression
65.0ms	x	@	0	((- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (- (/ -4 (* y x)) -2) x) (- (/ -4 (* y x)) -2) (* (pow (/ (+ (* 1/2 (* y x)) 1) y) -1/2) (pow (/ (+ (* 1/2 (* y x)) 1) y) -1/2)) (/ (+ (* 1/2 (* y x)) 1) y) (- x (* (pow (/ (+ (* 1/2 (* y x)) 1) y) -1/2) (pow (/ (+ (* 1/2 (* y x)) 1) y) -1/2))) (pow (/ (+ (* 1/2 (* y x)) 1) y) -1/2) (/ -4 (* y x)))
5.0ms	y	@	-inf	((- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (- (/ -4 (* y x)) -2) x) (- (/ -4 (* y x)) -2) (* (pow (/ (+ (* 1/2 (* y x)) 1) y) -1/2) (pow (/ (+ (* 1/2 (* y x)) 1) y) -1/2)) (/ (+ (* 1/2 (* y x)) 1) y) (- x (* (pow (/ (+ (* 1/2 (* y x)) 1) y) -1/2) (pow (/ (+ (* 1/2 (* y x)) 1) y) -1/2))) (pow (/ (+ (* 1/2 (* y x)) 1) y) -1/2) (/ -4 (* y x)))
3.0ms	x	@	inf	((- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (- (/ -4 (* y x)) -2) x) (- (/ -4 (* y x)) -2) (* (pow (/ (+ (* 1/2 (* y x)) 1) y) -1/2) (pow (/ (+ (* 1/2 (* y x)) 1) y) -1/2)) (/ (+ (* 1/2 (* y x)) 1) y) (- x (* (pow (/ (+ (* 1/2 (* y x)) 1) y) -1/2) (pow (/ (+ (* 1/2 (* y x)) 1) y) -1/2))) (pow (/ (+ (* 1/2 (* y x)) 1) y) -1/2) (/ -4 (* y x)))
3.0ms	x	@	-inf	((- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (- (/ -4 (* y x)) -2) x) (- (/ -4 (* y x)) -2) (* (pow (/ (+ (* 1/2 (* y x)) 1) y) -1/2) (pow (/ (+ (* 1/2 (* y x)) 1) y) -1/2)) (/ (+ (* 1/2 (* y x)) 1) y) (- x (* (pow (/ (+ (* 1/2 (* y x)) 1) y) -1/2) (pow (/ (+ (* 1/2 (* y x)) 1) y) -1/2))) (pow (/ (+ (* 1/2 (* y x)) 1) y) -1/2) (/ -4 (* y x)))
3.0ms	y	@	inf	((- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (- (/ -4 (* y x)) -2) x) (- (/ -4 (* y x)) -2) (* (pow (/ (+ (* 1/2 (* y x)) 1) y) -1/2) (pow (/ (+ (* 1/2 (* y x)) 1) y) -1/2)) (/ (+ (* 1/2 (* y x)) 1) y) (- x (* (pow (/ (+ (* 1/2 (* y x)) 1) y) -1/2) (pow (/ (+ (* 1/2 (* y x)) 1) y) -1/2))) (pow (/ (+ (* 1/2 (* y x)) 1) y) -1/2) (/ -4 (* y x)))

simplify463.0ms (2.2%)

Memory

-15.8MiB live, 179.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	459	1708
1	1437	1581
2	4484	1531
0	8146	1462

Stop Event

1×	iter limit
1×	node limit

Counts

86 → 84

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)
(/ -4 (* (pow x 2) y))
(/ (- (* 2 x) (* 4 (/ 1 y))) (pow x 2))
(/ -4 (* x y))
(/ (- (* 2 x) (* 4 (/ 1 y))) x)
(/ 1 y)
(+ (* 1/2 x) (/ 1 y))
(sqrt y)
(+ (sqrt y) (* -1/4 (* x (sqrt (pow y 3)))))
(+ (sqrt y) (* x (+ (* -1/2 (* (* x (+ (* -1/4 (pow y 3)) (* 1/16 (pow y 3)))) (sqrt (/ 1 y)))) (* -1/4 (sqrt (pow y 3))))))
(+ (sqrt y) (* x (+ (* -1/4 (sqrt (pow y 3))) (* x (+ (* -1/2 (* (sqrt (/ 1 y)) (+ (* -1/4 (pow y 3)) (* 1/16 (pow y 3))))) (* -1/2 (* (* x (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1/4 (pow y 3)) (* 1/16 (pow y 3))))))) (sqrt (/ 1 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)))
2
(- 2 (* 4 (/ 1 (* x y))))
(* 1/2 x)
(* x (+ 1/2 (/ 1 (* x y))))
(* (sqrt (/ 1 x)) (sqrt 2))
(+ (* -2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* y (sqrt 2))))) (* (sqrt (/ 1 x)) (sqrt 2)))
(+ (* -2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* y (sqrt 2))))) (+ (* 4 (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow y 2) (sqrt 2))))) (* (sqrt (/ 1 x)) (sqrt 2))))
(+ (* -2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* y (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 4 (/ x (* (pow y 2) (pow (sqrt 2) 2)))) (* 16 (/ 1 (pow y 3)))) (sqrt 2)))) (+ (* 4 (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow y 2) (sqrt 2))))) (* (sqrt (/ 1 x)) (sqrt 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 (/ (- (* 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))))
(* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1)))
(+ (* -2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (* y (sqrt -2))))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1))))
(+ (* -2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (* y (sqrt -2))))) (+ (* 4 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (* (pow y 2) (sqrt -2))))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1)))))
(+ (* -2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (* y (sqrt -2))))) (+ (* -1 (/ (+ (* -4 (* (sqrt x) (/ (sqrt -1) (* (pow y 2) (sqrt -2))))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -4 (/ x (* (pow y 2) (pow (sqrt -2) 2)))) (* 16 (/ 1 (pow y 3))))) (sqrt -2))))) (pow x 3))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1)))))
(+ 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)))))
(/ (- (* 2 (/ y x)) (* 4 (/ 1 (pow x 2)))) y)
(/ (- (* 2 y) (* 4 (/ 1 x))) y)
(/ (+ 1 (* 1/2 (* x y))) y)
(+ (sqrt y) (* (pow y 2) (+ (* -1/4 (* x (sqrt (/ 1 y)))) (* 1/8 (* (pow x 2) (sqrt y))))))
(+ (sqrt y) (* (pow y 2) (+ (* -1/4 (* x (sqrt (/ 1 y)))) (* y (+ (* -1/2 (* (sqrt y) (+ (* 1/16 (/ (pow x 2) y)) (* 1/8 (pow x 3))))) (* 1/8 (* (pow x 2) (sqrt (/ 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))))
(* y (+ (* 1/2 x) (/ 1 y)))
(+ (* -2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* y (sqrt 2))))) (+ (* 1/2 (* (sqrt x) (/ (- (* 8 (/ 1 (pow x 3))) (* 4 (/ 1 (* (pow x 3) (pow (sqrt 2) 2))))) (* (pow y 2) (sqrt 2))))) (* (sqrt (/ 1 x)) (sqrt 2))))
(+ (* -2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* y (sqrt 2))))) (+ (* -1/2 (* (sqrt x) (/ (+ (* -2 (/ (- (* 8 (/ 1 (pow x 3))) (* 4 (/ 1 (* (pow x 3) (pow (sqrt 2) 2))))) (* x (pow (sqrt 2) 2)))) (* 16 (/ 1 (pow x 4)))) (* (pow y 3) (sqrt 2))))) (+ (* 1/2 (* (sqrt x) (/ (- (* 8 (/ 1 (pow x 3))) (* 4 (/ 1 (* (pow x 3) (pow (sqrt 2) 2))))) (* (pow y 2) (sqrt 2))))) (* (sqrt (/ 1 x)) (sqrt 2)))))
(- (+ 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))))
(* -2 (/ (pow (sqrt -1) 2) x))
(+ (* -2 (/ (pow (sqrt -1) 2) x)) (* 4 (/ (pow (sqrt -1) 2) (* (pow x 2) y))))
(+ (* -2 (/ (pow (sqrt -1) 2) x)) (* -1 (/ (- (* 8 (/ (pow (sqrt -1) 2) (* (pow x 3) y))) (* 4 (/ (pow (sqrt -1) 2) (pow x 2)))) y)))
(+ (* -2 (/ (pow (sqrt -1) 2) x)) (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow (sqrt -1) 2) (* (pow x 4) y))) (* 8 (/ (pow (sqrt -1) 2) (pow x 3)))) y)) (* 4 (/ (pow (sqrt -1) 2) (pow x 2)))) y)))
(- x (* -2 (/ (pow (sqrt -1) 2) x)))
(- (+ x (* -4 (/ (pow (sqrt -1) 2) (* (pow x 2) y)))) (* -2 (/ (pow (sqrt -1) 2) x)))
(- (+ x (* -1 (/ (+ (* -8 (/ (pow (sqrt -1) 2) (* (pow x 3) y))) (* 4 (/ (pow (sqrt -1) 2) (pow x 2)))) y))) (* -2 (/ (pow (sqrt -1) 2) x)))
(- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow (sqrt -1) 2) (* (pow x 4) y))) (* 8 (/ (pow (sqrt -1) 2) (pow x 3)))) y)) (* 4 (/ (pow (sqrt -1) 2) (pow x 2)))) y))) (* -2 (/ (pow (sqrt -1) 2) x)))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (/ (- (* 8 (/ 1 (pow x 3))) (* 4 (/ 1 (* (pow x 3) (pow (sqrt 2) 2))))) (* y (sqrt 2))))) (* 2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 2))))) y)) (* (sqrt (/ 1 x)) (sqrt 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (/ (- (* 16 (/ 1 (pow x 4))) (* 2 (/ (- (* 8 (/ 1 (pow x 3))) (* 4 (/ 1 (* (pow x 3) (pow (sqrt 2) 2))))) (* x (pow (sqrt 2) 2))))) (* y (sqrt 2))))) (* 1/2 (* (sqrt x) (/ (- (* 8 (/ 1 (pow x 3))) (* 4 (/ 1 (* (pow x 3) (pow (sqrt 2) 2))))) (sqrt 2))))) y)) (* 2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 2))))) y)) (* (sqrt (/ 1 x)) (sqrt 2)))

Outputs
(* -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 (.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64))) x (-.f64 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)
y
(+ y (* -1/2 (* x (pow y 2))))
(fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 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 #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
#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 y x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ -4 (* (pow x 2) y))
(/.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) y)
(/ (- (* 2 x) (* 4 (/ 1 y))) (pow x 2))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 4 binary64) y) x)) x)
(/ -4 (* x y))
(/.f64 #s(literal -4 binary64) (*.f64 y x))
(/ (- (* 2 x) (* 4 (/ 1 y))) x)
(-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 4 binary64) y) x))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* 1/2 x) (/ 1 y))
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y))
(sqrt y)
(sqrt.f64 y)
(+ (sqrt y) (* -1/4 (* x (sqrt (pow y 3)))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) x) (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 y))
(+ (sqrt y) (* x (+ (* -1/2 (* (* x (+ (* -1/4 (pow y 3)) (* 1/16 (pow y 3)))) (sqrt (/ 1 y)))) (* -1/4 (sqrt (pow y 3))))))
(fma.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal -3/16 binary64) (pow.f64 y #s(literal 3 binary64))) x) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) #s(literal -1/4 binary64))) x (sqrt.f64 y))
(+ (sqrt y) (* x (+ (* -1/4 (sqrt (pow y 3))) (* x (+ (* -1/2 (* (sqrt (/ 1 y)) (+ (* -1/4 (pow y 3)) (* 1/16 (pow y 3))))) (* -1/2 (* (* x (+ (* 1/8 (pow y 4)) (* 1/4 (* y (+ (* -1/4 (pow y 3)) (* 1/16 (pow y 3))))))) (sqrt (/ 1 y)))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -3/16 binary64)) #s(literal 1/4 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64))) x (.f64 #s(literal -3/16 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) #s(literal -1/4 binary64))) x (sqrt.f64 y))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) x (-.f64 x (/.f64 #s(literal 2 binary64) x)))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 x (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y y))) (/.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 #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 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 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))
2
#s(literal 2 binary64)
(- 2 (* 4 (/ 1 (* x y))))
(-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 4 binary64) y) x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (/ 1 (* x y))))
(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y))
(* (sqrt (/ 1 x)) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* y (sqrt 2))))) (* (sqrt (/ 1 x)) (sqrt 2)))
(fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) y)) #s(literal -2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+ (* -2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* y (sqrt 2))))) (+ (* 4 (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow y 2) (sqrt 2))))) (* (sqrt (/ 1 x)) (sqrt 2))))
(fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) y)) #s(literal -2 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) y) y)) #s(literal 4 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(+ (* -2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* y (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (/ (+ (* 4 (/ x (* (pow y 2) (pow (sqrt 2) 2)))) (* 16 (/ 1 (pow y 3)))) (sqrt 2)))) (+ (* 4 (* (sqrt (/ 1 (pow x 5))) (/ 1 (* (pow y 2) (sqrt 2))))) (* (sqrt (/ 1 x)) (sqrt 2)))))
(fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) y)) #s(literal -2 binary64) (fma.f64 (.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (.f64 y y)) (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) y) y)) #s(literal 4 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) x (-.f64 x (/.f64 #s(literal 2 binary64) x)))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(fma.f64 (neg.f64 x) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) x) (/.f64 #s(literal -4 binary64) y)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x (/.f64 #s(literal 2 binary64) x)))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 4 binary64) y) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x)) (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 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 #s(literal 8 binary64) (*.f64 y y))) x)) x) #s(literal 2 binary64)) x)
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x #s(literal -1 binary64)))
(* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1)))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64)))
(+ (* -2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (* y (sqrt -2))))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1))))
(fma.f64 (.f64 #s(literal -2 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) y) (sqrt.f64 #s(literal -2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))))
(+ (* -2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (* y (sqrt -2))))) (+ (* 4 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (* (pow y 2) (sqrt -2))))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1)))))
(fma.f64 (.f64 #s(literal 4 binary64) (/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) y) y) (sqrt.f64 #s(literal -2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -2 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) y) (sqrt.f64 #s(literal -2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64)))))
(+ (* -2 (* (sqrt (/ 1 (pow x 3))) (/ (sqrt -1) (* y (sqrt -2))))) (+ (* -1 (/ (+ (* -4 (* (sqrt x) (/ (sqrt -1) (* (pow y 2) (sqrt -2))))) (* 1/2 (* (sqrt (/ 1 x)) (/ (* (sqrt -1) (+ (* -4 (/ x (* (pow y 2) (pow (sqrt -2) 2)))) (* 16 (/ 1 (pow y 3))))) (sqrt -2))))) (pow x 3))) (* (sqrt (/ 1 x)) (* (sqrt -2) (sqrt -1)))))
(fma.f64 (.f64 #s(literal -2 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) y) (sqrt.f64 #s(literal -2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64)) (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (.f64 y y)) (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64) (.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) y) y) (sqrt.f64 #s(literal -2 binary64))))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))))
(+ 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) y) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) x)) y #s(literal -1 binary64)) y x)
(* y (+ 1 (* -1/2 (* x y))))
(fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 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)
(/ (- (* 2 (/ y x)) (* 4 (/ 1 (pow x 2)))) y)
(/.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) y)
(/ (- (* 2 y) (* 4 (/ 1 x))) y)
(-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 4 binary64) y) x))
(/ (+ 1 (* 1/2 (* x y))) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) y)
(+ (sqrt y) (* (pow y 2) (+ (* -1/4 (* x (sqrt (/ 1 y)))) (* 1/8 (* (pow x 2) (sqrt y))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 y)) (.f64 x x) (.f64 (.f64 #s(literal -1/4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 y y) (sqrt.f64 y))
(+ (sqrt y) (* (pow y 2) (+ (* -1/4 (* x (sqrt (/ 1 y)))) (* y (+ (* -1/2 (* (sqrt y) (+ (* 1/16 (/ (pow x 2) y)) (* 1/8 (pow x 3))))) (* 1/8 (* (pow x 2) (sqrt (/ 1 y)))))))))
(fma.f64 (fma.f64 (.f64 y (.f64 (sqrt.f64 y) #s(literal -1/2 binary64))) (fma.f64 (/.f64 (.f64 x x) y) #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 y (.f64 (.f64 x x) #s(literal 1/8 binary64)) (.f64 #s(literal -1/4 binary64) x)))) (*.f64 y y) (sqrt.f64 y))
(- x (* 2 (/ 1 x)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) x) x)
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(-.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) 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 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))) (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) x) 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 #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 #s(literal 8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) y)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) x) #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 #s(literal 8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) y)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) x) #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))
(+ (* -2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* y (sqrt 2))))) (+ (* 1/2 (* (sqrt x) (/ (- (* 8 (/ 1 (pow x 3))) (* 4 (/ 1 (* (pow x 3) (pow (sqrt 2) 2))))) (* (pow y 2) (sqrt 2))))) (* (sqrt (/ 1 x)) (sqrt 2))))
(fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) y)) #s(literal -2 binary64) (fma.f64 (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) y) y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(+ (* -2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (* y (sqrt 2))))) (+ (* -1/2 (* (sqrt x) (/ (+ (* -2 (/ (- (* 8 (/ 1 (pow x 3))) (* 4 (/ 1 (* (pow x 3) (pow (sqrt 2) 2))))) (* x (pow (sqrt 2) 2)))) (* 16 (/ 1 (pow x 4)))) (* (pow y 3) (sqrt 2))))) (+ (* 1/2 (* (sqrt x) (/ (- (* 8 (/ 1 (pow x 3))) (* 4 (/ 1 (* (pow x 3) (pow (sqrt 2) 2))))) (* (pow y 2) (sqrt 2))))) (* (sqrt (/ 1 x)) (sqrt 2)))))
(fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) y)) #s(literal -2 binary64) (fma.f64 (sqrt.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) x)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) y) y)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) x) 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 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) y) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) 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 #s(literal 8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) y)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) x) #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 #s(literal 2 binary64) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 16 binary64) (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))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) x #s(literal -1 binary64)))
(* -2 (/ (pow (sqrt -1) 2) x))
(/.f64 #s(literal 2 binary64) x)
(+ (* -2 (/ (pow (sqrt -1) 2) x)) (* 4 (/ (pow (sqrt -1) 2) (* (pow x 2) y))))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 4 binary64) y) x)) x)
(+ (* -2 (/ (pow (sqrt -1) 2) x)) (* -1 (/ (- (* 8 (/ (pow (sqrt -1) 2) (* (pow x 3) y))) (* 4 (/ (pow (sqrt -1) 2) (pow x 2)))) y)))
(-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) y)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) x))
(+ (* -2 (/ (pow (sqrt -1) 2) x)) (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow (sqrt -1) 2) (* (pow x 4) y))) (* 8 (/ (pow (sqrt -1) 2) (pow x 3)))) y)) (* 4 (/ (pow (sqrt -1) 2) (pow x 2)))) y)))
(-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 16 binary64) (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))
(- x (* -2 (/ (pow (sqrt -1) 2) x)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(- (+ x (* -4 (/ (pow (sqrt -1) 2) (* (pow x 2) y)))) (* -2 (/ (pow (sqrt -1) 2) x)))
(+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) x) x)
(- (+ x (* -1 (/ (+ (* -8 (/ (pow (sqrt -1) 2) (* (pow x 3) y))) (* 4 (/ (pow (sqrt -1) 2) (pow x 2)))) y))) (* -2 (/ (pow (sqrt -1) 2) x)))
(-.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) x) x) (/.f64 #s(literal 8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) y)))
(- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow (sqrt -1) 2) (* (pow x 4) y))) (* 8 (/ (pow (sqrt -1) 2) (pow x 3)))) y)) (* 4 (/ (pow (sqrt -1) 2) (pow x 2)))) y))) (* -2 (/ (pow (sqrt -1) 2) x)))
(-.f64 (-.f64 x (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) y) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) y)) (/.f64 #s(literal 2 binary64) x))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (/ (- (* 8 (/ 1 (pow x 3))) (* 4 (/ 1 (* (pow x 3) (pow (sqrt 2) 2))))) (* y (sqrt 2))))) (* 2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 2))))) y)) (* (sqrt (/ 1 x)) (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64) (.f64 (.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)))) (neg.f64 y)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (/ (- (* 16 (/ 1 (pow x 4))) (* 2 (/ (- (* 8 (/ 1 (pow x 3))) (* 4 (/ 1 (* (pow x 3) (pow (sqrt 2) 2))))) (* x (pow (sqrt 2) 2))))) (* y (sqrt 2))))) (* 1/2 (* (sqrt x) (/ (- (* 8 (/ 1 (pow x 3))) (* 4 (/ 1 (* (pow x 3) (pow (sqrt 2) 2))))) (sqrt 2))))) y)) (* 2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 2))))) y)) (* (sqrt (/ 1 x)) (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 (.f64 (sqrt.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))))) (neg.f64 y))) (neg.f64 y)))

rewrite349.0ms (1.7%)

Memory

-125.4MiB live, 189.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	197
0	50	166
1	260	166
2	1633	166
0	8362	166

Stop Event

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

Counts

18 → 623

Calls

Call 1

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

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

eval119.0ms (0.6%)

Memory: -4.3MiB live, 111.4MiB allocated
Compiler: Compiled 23 605 to 2 859 computations (87.9% saved)

prune39.0ms (0.2%)

Memory

-0.8MiB live, 36.8MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	722	4	726
Fresh	2	1	3
Picked	1	4	5
Done	0	0	0
Total	725	9	734

Accuracy

100.0%

Counts

734 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.2%	(fma.f64 (/.f64 (neg.f64 y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) x)
▶	77.0%	(-.f64 x (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64))) (.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64))) (neg.f64 y))) (.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))))
✓	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
▶	65.0%	(-.f64 x (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
✓	60.8%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)))
✓	65.1%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
▶	62.5%	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x))
▶	73.0%	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y))
✓	23.9%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Compiler

Compiled 276 to 181 computations (34.4% saved)

simplify204.0ms (1%)

Memory

11.4MiB live, 132.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	128	(.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64))) (neg.f64 y))
cost-diff	192	(-.f64 (.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64))) (.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64))) (neg.f64 y)))
cost-diff	1024	(.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64)))
cost-diff	2048	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64))) (.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64))) (neg.f64 y))) (.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 y x))
cost-diff	0	#s(approx (+ (* (* y x) 1/2) 1) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
cost-diff	0	(/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 #s(literal 1/2 binary64) (.f64 y x))))
cost-diff	0	(-.f64 x (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
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 (+ (* (* y x) 1/2) 1))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x))
cost-diff	0	(-.f64 x y)
cost-diff	0	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y))
cost-diff	0	(fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))
cost-diff	0	(neg.f64 y)
cost-diff	0	(fma.f64 (/.f64 (neg.f64 y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) x)
cost-diff	128	(/.f64 (neg.f64 y) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	323
0	66	287
1	149	278
2	441	247
3	1951	247
4	6082	247
0	8137	242

Stop Event

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

Calls

Call 1

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

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

localize111.0ms (0.5%)

Memory

-16.2MiB live, 98.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.08984375	(.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64))) (neg.f64 y))
accuracy	0.140625	(.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))
accuracy	7.136678845153607	(.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64)))
accuracy	18.493855509031498	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64))) (.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64))) (neg.f64 y))) (.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))))
accuracy	0.0	(*.f64 y x)
accuracy	0.0	(.f64 #s(literal 1/2 binary64) (.f64 y x))
accuracy	6.920172112439218	(/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 #s(literal 1/2 binary64) (.f64 y x))))
accuracy	30.668716523599308	#s(approx (+ (* (* y x) 1/2) 1) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
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	0.0390625	(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
accuracy	23.990768648654228	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x))
accuracy	0.0	(-.f64 x y)
accuracy	17.294604668970344	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y))
accuracy	0.0	(neg.f64 y)
accuracy	0.228847509768442	(pow.f64 (*.f64 y x) #s(literal 2 binary64))
accuracy	4.12835692308129	(/.f64 (neg.f64 y) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy	7.119462144525321	(fma.f64 (/.f64 (neg.f64 y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) x)

Samples

69.0ms

256×

valid

Compiler

Compiled 641 to 81 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 17.0ms (39.8% of total)

ival-add: 8.0ms (18.7% of total)

ival-sub: 7.0ms (16.4% of total)

ival-div: 5.0ms (11.7% of total)

ival-pow2: 3.0ms (7% of total)

ival-neg: 2.0ms (4.7% of total)

exact: 1.0ms (2.3% of total)

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

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

series19.0ms (0.1%)

Memory

23.2MiB live, 23.2MiB allocated

Counts

21 → 111

Calls

Call 1

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

Outputs
(* -1 y)
(+ (* -1 y) (* -1/4 (* (pow x 2) (pow y 3))))
(+ (* -1 y) (* (pow x 2) (+ (* -1/4 (pow y 3)) (* -1/16 (* (pow x 2) (pow y 5))))))
(+ (* -1 y) (* (pow x 2) (+ (* -1/4 (pow y 3)) (* (pow x 2) (+ (* -1/16 (pow y 5)) (* -1/64 (* (pow x 2) (pow y 7))))))))
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(+ (* -1 y) (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))))
(+ (* -1 y) (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))))
1
(+ 1 (* -1/4 (* (pow x 2) (pow y 2))))
(- (* 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)
(- x y)
-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)))))
(+ 1 (* 1/2 (* x y)))
(* 1/2 (* x y))
0
(- (* -1/2 (* x (pow y 2))) y)
(+ y (* 1/2 (* x (pow y 2))))
(* (pow x 2) (pow y 2))
(* x y)
(- (* -1 (* x y)) 1)
(- (* x (+ (* -1 y) (* -1/4 (* x (pow y 2))))) 1)
(/ 4 (* (pow x 2) y))
(/ (+ (* 4 (/ 1 y)) (* 16 (/ 1 (* (pow x 2) (pow y 3))))) (pow x 2))
(/ (+ (* 4 (/ 1 y)) (+ (/ 16 (* (pow x 2) (pow y 3))) (/ 64 (* (pow x 4) (pow y 5))))) (pow x 2))
(/ (+ (* 4 (/ 1 y)) (+ (* 64 (/ 1 (* (pow x 4) (pow y 5)))) (+ (* 256 (/ 1 (* (pow x 6) (pow y 7)))) (/ 16 (* (pow x 2) (pow y 3)))))) (pow x 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))))))
(* -1/4 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1/4 (pow y 2)) (/ 1 (pow x 2))))
(* 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)))
(/ 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)))
(* -1/2 (* x (pow y 2)))
(* x (- (* -1 (/ y x)) (* 1/2 (pow y 2))))
(* 1/2 (* x (pow y 2)))
(* x (+ (* 1/2 (pow y 2)) (/ y x)))
(* (pow x 2) (+ (* -1 (/ y x)) (* -1/4 (pow y 2))))
(* (pow x 2) (- (+ (* -1 (/ y x)) (* -1/4 (pow y 2))) (/ 1 (pow x 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 (- (/ 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))))
(* -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) (* -1/2 (pow y 2)))))
(* -1 (* x (+ (* -1 (/ y x)) (* -1/2 (pow y 2)))))
(* (pow x 2) (+ (* -1 (/ (+ y (/ 1 x)) x)) (* -1/4 (pow y 2))))
(* y (- (* -1/4 (* (pow x 2) (pow y 2))) 1))
(* y (- (* (pow y 2) (+ (* -1/4 (pow x 2)) (* -1/16 (* (pow x 4) (pow y 2))))) 1))
(* y (- (* (pow y 2) (+ (* -1/4 (pow x 2)) (* (pow y 2) (+ (* -1/16 (pow x 4)) (* -1/64 (* (pow x 6) (pow y 2))))))) 1))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(* 1/2 y)
(* 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 y)) 1))
(* y (+ 1 (* 1/2 (* x y))))
(- (* y (+ (* -1 x) (* -1/4 (* (pow x 2) y)))) 1)
(/ (+ (* 16 (/ 1 (* (pow x 4) (pow y 2)))) (* 4 (/ 1 (pow x 2)))) y)
(/ (+ (* 4 (/ 1 (pow x 2))) (+ (/ 16 (* (pow x 4) (pow y 2))) (/ 64 (* (pow x 6) (pow y 4))))) y)
(/ (+ (* 64 (/ 1 (* (pow x 6) (pow y 4)))) (+ (* 256 (/ 1 (* (pow x 8) (pow y 6)))) (+ (* 4 (/ 1 (pow x 2))) (/ 16 (* (pow x 4) (pow y 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))))))
(* (pow y 2) (+ (* -1/4 (pow x 2)) (/ 1 (pow y 2))))
(* y (- (/ x y) 1))
(* (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))))
(* y (+ (* 1/2 x) (/ 1 y)))
(* -1 (* (pow y 2) (+ (* 1/2 x) (/ 1 y))))
(* (pow y 2) (+ (* 1/2 x) (/ 1 y)))
(* (pow y 2) (+ (* -1 (/ x y)) (* -1/4 (pow x 2))))
(* (pow y 2) (- (+ (* -1 (/ x y)) (* -1/4 (pow x 2))) (/ 1 (pow y 2))))
(* -1 (/ (- (* -1 (/ (+ (* 16 (/ 1 (pow x 4))) (* 64 (/ 1 (* (pow x 6) (pow y 2))))) (pow y 2))) (* 4 (/ 1 (pow x 2)))) y))
(* -1 (/ (- (* -1 (/ (+ (* 64 (/ 1 (pow x 6))) (* 256 (/ 1 (* (pow x 8) (pow y 2))))) (pow y 4))) (+ (* 4 (/ 1 (pow x 2))) (/ 16 (* (pow x 4) (pow y 2))))) 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 (* y (+ 1 (* -1 (/ x y)))))
(* (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)))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* (pow y 2) (+ (* -1 (/ (+ x (/ 1 y)) y)) (* -1/4 (pow x 2))))

Calls

6 calls:

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

simplify248.0ms (1.2%)

Memory

-4.9MiB live, 145.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	435	1584
1	1328	1540
2	3703	1505
0	8677	1415

Stop Event

1×	iter limit
1×	node limit

Counts

111 → 109

Calls

Call 1

Inputs
(* -1 y)
(+ (* -1 y) (* -1/4 (* (pow x 2) (pow y 3))))
(+ (* -1 y) (* (pow x 2) (+ (* -1/4 (pow y 3)) (* -1/16 (* (pow x 2) (pow y 5))))))
(+ (* -1 y) (* (pow x 2) (+ (* -1/4 (pow y 3)) (* (pow x 2) (+ (* -1/16 (pow y 5)) (* -1/64 (* (pow x 2) (pow y 7))))))))
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(+ (* -1 y) (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))))
(+ (* -1 y) (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))))
1
(+ 1 (* -1/4 (* (pow x 2) (pow y 2))))
(- (* 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)
(- x y)
-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)))))
(+ 1 (* 1/2 (* x y)))
(* 1/2 (* x y))
0
(- (* -1/2 (* x (pow y 2))) y)
(+ y (* 1/2 (* x (pow y 2))))
(* (pow x 2) (pow y 2))
(* x y)
(- (* -1 (* x y)) 1)
(- (* x (+ (* -1 y) (* -1/4 (* x (pow y 2))))) 1)
(/ 4 (* (pow x 2) y))
(/ (+ (* 4 (/ 1 y)) (* 16 (/ 1 (* (pow x 2) (pow y 3))))) (pow x 2))
(/ (+ (* 4 (/ 1 y)) (+ (/ 16 (* (pow x 2) (pow y 3))) (/ 64 (* (pow x 4) (pow y 5))))) (pow x 2))
(/ (+ (* 4 (/ 1 y)) (+ (* 64 (/ 1 (* (pow x 4) (pow y 5)))) (+ (* 256 (/ 1 (* (pow x 6) (pow y 7)))) (/ 16 (* (pow x 2) (pow y 3)))))) (pow x 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))))))
(* -1/4 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1/4 (pow y 2)) (/ 1 (pow x 2))))
(* 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)))
(/ 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)))
(* -1/2 (* x (pow y 2)))
(* x (- (* -1 (/ y x)) (* 1/2 (pow y 2))))
(* 1/2 (* x (pow y 2)))
(* x (+ (* 1/2 (pow y 2)) (/ y x)))
(* (pow x 2) (+ (* -1 (/ y x)) (* -1/4 (pow y 2))))
(* (pow x 2) (- (+ (* -1 (/ y x)) (* -1/4 (pow y 2))) (/ 1 (pow x 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 (- (/ 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))))
(* -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) (* -1/2 (pow y 2)))))
(* -1 (* x (+ (* -1 (/ y x)) (* -1/2 (pow y 2)))))
(* (pow x 2) (+ (* -1 (/ (+ y (/ 1 x)) x)) (* -1/4 (pow y 2))))
(* y (- (* -1/4 (* (pow x 2) (pow y 2))) 1))
(* y (- (* (pow y 2) (+ (* -1/4 (pow x 2)) (* -1/16 (* (pow x 4) (pow y 2))))) 1))
(* y (- (* (pow y 2) (+ (* -1/4 (pow x 2)) (* (pow y 2) (+ (* -1/16 (pow x 4)) (* -1/64 (* (pow x 6) (pow y 2))))))) 1))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(* 1/2 y)
(* 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 y)) 1))
(* y (+ 1 (* 1/2 (* x y))))
(- (* y (+ (* -1 x) (* -1/4 (* (pow x 2) y)))) 1)
(/ (+ (* 16 (/ 1 (* (pow x 4) (pow y 2)))) (* 4 (/ 1 (pow x 2)))) y)
(/ (+ (* 4 (/ 1 (pow x 2))) (+ (/ 16 (* (pow x 4) (pow y 2))) (/ 64 (* (pow x 6) (pow y 4))))) y)
(/ (+ (* 64 (/ 1 (* (pow x 6) (pow y 4)))) (+ (* 256 (/ 1 (* (pow x 8) (pow y 6)))) (+ (* 4 (/ 1 (pow x 2))) (/ 16 (* (pow x 4) (pow y 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))))))
(* (pow y 2) (+ (* -1/4 (pow x 2)) (/ 1 (pow y 2))))
(* y (- (/ x y) 1))
(* (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))))
(* y (+ (* 1/2 x) (/ 1 y)))
(* -1 (* (pow y 2) (+ (* 1/2 x) (/ 1 y))))
(* (pow y 2) (+ (* 1/2 x) (/ 1 y)))
(* (pow y 2) (+ (* -1 (/ x y)) (* -1/4 (pow x 2))))
(* (pow y 2) (- (+ (* -1 (/ x y)) (* -1/4 (pow x 2))) (/ 1 (pow y 2))))
(* -1 (/ (- (* -1 (/ (+ (* 16 (/ 1 (pow x 4))) (* 64 (/ 1 (* (pow x 6) (pow y 2))))) (pow y 2))) (* 4 (/ 1 (pow x 2)))) y))
(* -1 (/ (- (* -1 (/ (+ (* 64 (/ 1 (pow x 6))) (* 256 (/ 1 (* (pow x 8) (pow y 2))))) (pow y 4))) (+ (* 4 (/ 1 (pow x 2))) (/ 16 (* (pow x 4) (pow y 2))))) 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 (* y (+ 1 (* -1 (/ x y)))))
(* (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)))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* (pow y 2) (+ (* -1 (/ (+ x (/ 1 y)) y)) (* -1/4 (pow x 2))))

Outputs
(* -1 y)
(neg.f64 y)
(+ (* -1 y) (* -1/4 (* (pow x 2) (pow y 3))))
(fma.f64 (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -1/4 binary64)) x (neg.f64 y))
(+ (* -1 y) (* (pow x 2) (+ (* -1/4 (pow y 3)) (* -1/16 (* (pow x 2) (pow y 5))))))
(fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal -1/16 binary64)) x) x (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64))) (.f64 x x) (neg.f64 y))
(+ (* -1 y) (* (pow x 2) (+ (* -1/4 (pow y 3)) (* (pow x 2) (+ (* -1/16 (pow y 5)) (* -1/64 (* (pow x 2) (pow y 7))))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 y #s(literal 7 binary64))) (.f64 x x) (.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal -1/16 binary64))) (fma.f64 (.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -1/4 binary64)) x (neg.f64 y)))
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)
(+ (* -1 y) (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))))
(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))
(+ (* -1 y) (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))))
(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))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (* (pow x 2) (pow y 2))))
(fma.f64 (.f64 (.f64 (*.f64 x x) #s(literal -1/4 binary64)) y) y #s(literal 1 binary64))
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(fma.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #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))
(- x y)
(-.f64 x y)
-1
#s(literal -1 binary64)
(- (* 1/2 (* x y)) 1)
(fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64))
y
(+ y (* -1/2 (* x (pow y 2))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) y #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 #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 (* 1/2 (* x y)))
(fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 (* x y))
(.f64 (.f64 x y) #s(literal 1/2 binary64))
0
#s(literal 0 binary64)
(- (* -1/2 (* x (pow y 2))) y)
(.f64 (fma.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 x y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)
(* (pow x 2) (pow y 2))
(.f64 (.f64 (*.f64 x y) x) y)
(* x y)
(*.f64 x y)
(- (* -1 (* x y)) 1)
(fma.f64 (neg.f64 y) x #s(literal -1 binary64))
(- (* x (+ (* -1 y) (* -1/4 (* x (pow y 2))))) 1)
(fma.f64 (.f64 y (fma.f64 (.f64 #s(literal -1/4 binary64) x) y #s(literal -1 binary64))) x #s(literal -1 binary64))
(/ 4 (* (pow x 2) y))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 x y) x))
(/ (+ (* 4 (/ 1 y)) (* 16 (/ 1 (* (pow x 2) (pow y 3))))) (pow x 2))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) (.f64 x x)) (/.f64 #s(literal 4 binary64) y)) (.f64 x x))
(/ (+ (* 4 (/ 1 y)) (+ (/ 16 (* (pow x 2) (pow y 3))) (/ 64 (* (pow x 4) (pow y 5))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) (.f64 x x)) (/.f64 #s(literal 4 binary64) y)) (/.f64 (/.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))) (.f64 x x))
(/ (+ (* 4 (/ 1 y)) (+ (* 64 (/ 1 (* (pow x 4) (pow y 5)))) (+ (* 256 (/ 1 (* (pow x 6) (pow y 7)))) (/ 16 (* (pow x 2) (pow y 3)))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (/.f64 #s(literal 256 binary64) (pow.f64 y #s(literal 7 binary64))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) (.f64 x x)))) (.f64 x 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 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)) (/.f64 #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 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)) (/.f64 #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)
(* -1/4 (* (pow x 2) (pow y 2)))
(.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) y) y)
(* (pow x 2) (+ (* -1/4 (pow y 2)) (/ 1 (pow x 2))))
(fma.f64 (.f64 (.f64 (*.f64 x x) #s(literal -1/4 binary64)) y) y #s(literal 1 binary64))
(* x (+ 1 (* -1 (/ y x))))
(fma.f64 (/.f64 y #s(literal 1 binary64)) #s(literal -1 binary64) 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 (*.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64))
(/ 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 #s(literal 8 binary64) (.f64 (.f64 x y) y)) (/.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 x y) y)) (/.f64 #s(literal 4 binary64) y)) x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) x)
(* x (+ (* 1/2 y) (/ 1 x)))
(fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* -1/2 (* x (pow y 2)))
(.f64 (.f64 (*.f64 #s(literal -1/2 binary64) y) x) y)
(* x (- (* -1 (/ y x)) (* 1/2 (pow y 2))))
(.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) y (/.f64 #s(literal -1 binary64) x))) x)
(* 1/2 (* x (pow y 2)))
(.f64 (.f64 (*.f64 x y) y) #s(literal 1/2 binary64))
(* x (+ (* 1/2 (pow y 2)) (/ y x)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) y (/.f64 y x)) x)
(* (pow x 2) (+ (* -1 (/ y x)) (* -1/4 (pow y 2))))
(.f64 (.f64 y (fma.f64 #s(literal -1/4 binary64) y (/.f64 #s(literal -1 binary64) x))) (*.f64 x x))
(* (pow x 2) (- (+ (* -1 (/ y x)) (* -1/4 (pow y 2))) (/ 1 (pow x 2))))
(fma.f64 (.f64 (.f64 y (fma.f64 #s(literal -1/4 binary64) y (/.f64 #s(literal -1 binary64) x))) x) 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))))))
(fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)) (/.f64 #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 #s(literal 2 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 8 binary64) (.f64 (.f64 x y) y))) (pow.f64 x #s(literal 3 binary64)))))
(* -1 (* x (- (/ y x) 1)))
(fma.f64 (/.f64 y #s(literal 1 binary64)) #s(literal -1 binary64) 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 (*.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 4 binary64) y) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 x y) y)) (/.f64 #s(literal 4 binary64) y)) 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)
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* -1 (* x (- (/ y x) (* -1/2 (pow y 2)))))
(.f64 (.f64 y (fma.f64 #s(literal -1/2 binary64) y (/.f64 #s(literal -1 binary64) x))) x)
(* -1 (* x (+ (* -1 (/ y x)) (* -1/2 (pow y 2)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) y (/.f64 y x)) x)
(* (pow x 2) (+ (* -1 (/ (+ y (/ 1 x)) x)) (* -1/4 (pow y 2))))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) y) y (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) y) x)) x) x)
(* y (- (* -1/4 (* (pow x 2) (pow y 2))) 1))
(fma.f64 (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -1/4 binary64)) x (neg.f64 y))
(* y (- (* (pow y 2) (+ (* -1/4 (pow x 2)) (* -1/16 (* (pow x 4) (pow y 2))))) 1))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) (pow.f64 y #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/16 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) y))
(* y (- (* (pow y 2) (+ (* -1/4 (pow x 2)) (* (pow y 2) (+ (* -1/16 (pow x 4)) (* -1/64 (* (pow x 6) (pow y 2))))))) 1))
(.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/64 binary64)) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/16 binary64)) y) y (.f64 (.f64 x x) #s(literal -1/4 binary64)))) (*.f64 y y) #s(literal -1 binary64)) y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(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))
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* y (+ 1 (* -1/2 (* x y))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) y #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 y) x) #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 #s(literal 1/4 binary64) (.f64 x x) (.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 y)) 1))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) y #s(literal -1 binary64)) y)
(* y (+ 1 (* 1/2 (* x y))))
(.f64 (fma.f64 (.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)
(- (* y (+ (* -1 x) (* -1/4 (* (pow x 2) y)))) 1)
(fma.f64 (.f64 y (fma.f64 (.f64 #s(literal -1/4 binary64) x) y #s(literal -1 binary64))) x #s(literal -1 binary64))
(/ (+ (* 16 (/ 1 (* (pow x 4) (pow y 2)))) (* 4 (/ 1 (pow x 2)))) y)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) (.f64 y y)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (.f64 x x))) y)
(/ (+ (* 4 (/ 1 (pow x 2))) (+ (/ 16 (* (pow x 4) (pow y 2))) (/ 64 (* (pow x 6) (pow y 4))))) y)
(/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 4 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 16 binary64) (.f64 y y)) (pow.f64 x #s(literal 4 binary64)))) y)
(/ (+ (* 64 (/ 1 (* (pow x 6) (pow y 4)))) (+ (* 256 (/ 1 (* (pow x 8) (pow y 6)))) (+ (* 4 (/ 1 (pow x 2))) (/ 16 (* (pow x 4) (pow y 2)))))) y)
(/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 256 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 4 binary64) (.f64 x x))) (+.f64 (/.f64 (/.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 16 binary64) (.f64 y y)) (pow.f64 x #s(literal 4 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 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) x) x)
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 x y) y)) (/.f64 #s(literal 4 binary64) y)) x)) x) 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 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 x y) y)) (/.f64 #s(literal 4 binary64) y)) x)) x)) x)
(* (pow y 2) (+ (* -1/4 (pow x 2)) (/ 1 (pow y 2))))
(fma.f64 (.f64 (.f64 (*.f64 x x) #s(literal -1/4 binary64)) y) y #s(literal 1 binary64))
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(.f64 (fma.f64 (.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 x y) y)) y #s(literal -1 binary64)) y)
(* y (- (* 1/2 x) (/ 1 y)))
(fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* 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 #s(literal 8 binary64) (.f64 (.f64 x y) y)) (/.f64 #s(literal 4 binary64) y)) x) #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 #s(literal 8 binary64) (.f64 (.f64 x y) y)) (/.f64 #s(literal 4 binary64) y)) x) #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)))
(fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* -1 (* (pow y 2) (+ (* 1/2 x) (/ 1 y))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) y #s(literal -1 binary64)) y)
(* (pow y 2) (+ (* 1/2 x) (/ 1 y)))
(.f64 (fma.f64 (.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64)) y)
(* (pow y 2) (+ (* -1 (/ x y)) (* -1/4 (pow x 2))))
(.f64 (.f64 y (fma.f64 (*.f64 #s(literal -1/4 binary64) x) y #s(literal -1 binary64))) x)
(* (pow y 2) (- (+ (* -1 (/ x y)) (* -1/4 (pow x 2))) (/ 1 (pow y 2))))
(fma.f64 (.f64 y (fma.f64 (.f64 #s(literal -1/4 binary64) x) y #s(literal -1 binary64))) x #s(literal -1 binary64))
(* -1 (/ (- (* -1 (/ (+ (* 16 (/ 1 (pow x 4))) (* 64 (/ 1 (* (pow x 6) (pow y 2))))) (pow y 2))) (* 4 (/ 1 (pow x 2)))) y))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 64 binary64) (.f64 y y)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 y y)) (/.f64 #s(literal 4 binary64) (*.f64 x x))) y)
(* -1 (/ (- (* -1 (/ (+ (* 64 (/ 1 (pow x 6))) (* 256 (/ 1 (* (pow x 8) (pow y 2))))) (pow y 4))) (+ (* 4 (/ 1 (pow x 2))) (/ 16 (* (pow x 4) (pow y 2))))) y))
(/.f64 (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 256 binary64) (.f64 y y)) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 16 binary64) (*.f64 y y)) (pow.f64 x #s(literal 4 binary64)))) y)
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 x y) y)) (/.f64 #s(literal 4 binary64) y)) x)) x) 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 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) y) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) y)) (/.f64 #s(literal 2 binary64) x))
(* -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)))
(fma.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y (.f64 (.f64 (*.f64 x y) y) #s(literal 1/2 binary64)))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 x y) y)) (/.f64 #s(literal 4 binary64) y)) x) #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 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) y) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) y) (/.f64 #s(literal 2 binary64) x))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* (pow y 2) (+ (* -1 (/ (+ x (/ 1 y)) y)) (* -1/4 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) x) x (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) x) y)) y) y)

rewrite440.0ms (2.1%)

Memory

0.9MiB live, 207.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	240
0	64	211
1	314	193
2	2429	184
0	9581	183

Stop Event

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

Counts

21 → 770

Calls

Call 1

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

Outputs
(.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -1/64 binary64) (pow.f64 (.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 y))
(.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 (neg.f64 y) (.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (neg.f64 y) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 y (pow.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) y) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 y))) (neg.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (neg.f64 y) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 y #s(literal 1 binary64))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) y)) (.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 y))) (.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) y)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (neg.f64 y) #s(literal 1 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 y #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) y) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) y))
(/.f64 (neg.f64 y) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 y) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 y (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(/.f64 y (neg.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(neg.f64 (.f64 (/.f64 y (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(neg.f64 (/.f64 y (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))) (/.f64 y (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 y (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 y (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))
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(fma.f64 (.f64 x y) (.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 y) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) x))
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(+.f64 (+.f64 x (.f64 (.f64 #s(literal -1/2 binary64) (.f64 x y)) (/.f64 (neg.f64 y) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))) (/.f64 (neg.f64 y) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))
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(+.f64 (/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) x)
(+.f64 x (/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))) (neg.f64 (+.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
(neg.f64 y)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 0 binary64) y)))
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(-.f64 #s(literal 0 binary64) y)
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(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 (.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 x y) #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 x y) #s(literal 4 binary64))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 x y) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 (.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 x y) #s(literal 4 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 (.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 (.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 x y) #s(literal 4 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 (.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/64 binary64) (pow.f64 (.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 x y) #s(literal 4 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/64 binary64) (pow.f64 (.f64 x y) #s(literal 6 binary64)) #s(literal 1 binary64))))
(fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 y y)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 x y)) (*.f64 x y) #s(literal 1 binary64))
(fma.f64 (.f64 y y) (.f64 (*.f64 x x) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 x y) (.f64 (*.f64 x y) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64))))) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 x y) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64))))))
(-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 x y) #s(literal 4 binary64))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64))))
#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y))
(.f64 (.f64 (+.f64 x y) (-.f64 x y)) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
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(pow.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 x x) (.f64 (neg.f64 y) x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y)))) (neg.f64 (neg.f64 (+.f64 x y))))
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(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 x y)) (.f64 (+.f64 x y) (.f64 y y))) (*.f64 (+.f64 x y) (+.f64 x y)))
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(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (-.f64 x (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (+.f64 x y)))
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(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x (neg.f64 y)))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 x y))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 y y) (.f64 x (neg.f64 y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(fma.f64 #s(literal -1 binary64) y x)
(fma.f64 y #s(literal -1 binary64) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (neg.f64 y))) (/.f64 (.f64 y y) (-.f64 x (neg.f64 y))))
(-.f64 (+.f64 x #s(literal 0 binary64)) y)
(-.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (.f64 y y) (+.f64 x y)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (.f64 y (+.f64 x y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x x (.f64 y (+.f64 x y)))))
(-.f64 x y)
(+.f64 x (neg.f64 y))
(+.f64 (neg.f64 y) x)
#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y 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 x x)) (pow.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y) x) #s(literal -1 binary64)))
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(fma.f64 (.f64 x y) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64))
(fma.f64 (.f64 x y) (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)))
(fma.f64 (.f64 x y) (.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x y))) #s(literal -1 binary64))
(fma.f64 x (.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 (.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64))
(fma.f64 x (.f64 (.f64 #s(literal 1/2 binary64) y) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)))
(fma.f64 y (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64))
(fma.f64 y (.f64 (.f64 #s(literal 1/2 binary64) x) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)))
(expm1.f64 (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x y))) #s(literal 2 binary64)))
(expm1.f64 (.f64 (log.f64 (.f64 (*.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y) x) #s(literal 1/2 binary64)) (fma.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 2 binary64)) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y) x) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 x y)) #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 x y) #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 x y)) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 x y)) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))))
(-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) #s(literal 2 binary64)))
(+.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x y))) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y) x) #s(literal 1/2 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 x y) #s(literal 2 binary64))) #s(literal -1 binary64))
(+.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y) x) #s(literal 1/2 binary64)))

eval114.0ms (0.5%)

Memory: -13.5MiB live, 216.6MiB allocated
Compiler: Compiled 27 832 to 3 118 computations (88.8% saved)

prune15.0ms (0.1%)

Memory

14.6MiB live, 53.9MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	826	3	829
Fresh	0	0	0
Picked	3	2	5
Done	0	4	4
Total	829	9	838

Accuracy

100.0%

Counts

838 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.2%	(fma.f64 (/.f64 (neg.f64 y) (fma.f64 (.f64 (.f64 (.f64 x y) y) x) #s(literal -1/4 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) x)
✓	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
✓	65.0%	(-.f64 x (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
✓	60.8%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)))
✓	65.1%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	73.0%	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y))
▶	49.7%	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (fma.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y (.f64 (.f64 (*.f64 x y) y) #s(literal 1/2 binary64)))))
▶	24.5%	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 (.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)))
✓	23.9%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Compiler

Compiled 183 to 132 computations (27.9% saved)

simplify173.0ms (0.8%)

Memory

21.5MiB live, 138.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (.f64 (.f64 (*.f64 x y) y) x) #s(literal -1/4 binary64) #s(literal 1 binary64))
cost-diff	0	(neg.f64 y)
cost-diff	0	(fma.f64 (/.f64 (neg.f64 y) (fma.f64 (.f64 (.f64 (.f64 x y) y) x) #s(literal -1/4 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) x)
cost-diff	128	(/.f64 (neg.f64 y) (fma.f64 (.f64 (.f64 (*.f64 x y) y) x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
cost-diff	0	(-.f64 (/.f64 x y) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (fma.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y (.f64 (.f64 (*.f64 x y) y) #s(literal 1/2 binary64))))
cost-diff	0	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (fma.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y (.f64 (.f64 (*.f64 x y) y) #s(literal 1/2 binary64)))))
cost-diff	1152	(fma.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y (.f64 (.f64 (*.f64 x y) y) #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)
cost-diff	0	#s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 (.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))
cost-diff	0	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 (.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	253
0	56	249
1	114	249
2	240	246
3	634	243
4	1726	237
5	3508	237
6	4821	237
7	6198	237
8	7129	237
9	7824	237
0	8414	226

Stop Event

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

Calls

Call 1

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

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

localize206.0ms (1%)

Memory

-24.1MiB live, 178.3MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.125	(.f64 (.f64 x y) y)
accuracy	2.54179048449042	(.f64 (.f64 (*.f64 x y) y) x)
accuracy	4.12835692308129	(/.f64 (neg.f64 y) (fma.f64 (.f64 (.f64 (*.f64 x y) y) x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
accuracy	7.119462144525321	(fma.f64 (/.f64 (neg.f64 y) (fma.f64 (.f64 (.f64 (.f64 x y) y) x) #s(literal -1/4 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) x)
accuracy	0.0	#s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (fma.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y (.f64 (.f64 (*.f64 x y) y) #s(literal 1/2 binary64))))
accuracy	0.125	(.f64 (.f64 x y) y)
accuracy	8.211001030347145	(fma.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y (.f64 (.f64 (*.f64 x y) y) #s(literal 1/2 binary64)))
accuracy	23.990768648654228	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (fma.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y (.f64 (.f64 (*.f64 x y) y) #s(literal 1/2 binary64)))))
accuracy	0.0	(*.f64 x y)
accuracy	0.0859375	(.f64 (fma.f64 (.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)
accuracy	23.990768648654228	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 (.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)))
accuracy	24.519147911289522	#s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 (.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))

Samples

153.0ms

256×

valid

Compiler

Compiled 445 to 77 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-mult: 58.0ms (48% of total)

ival-neg: 46.0ms (38.1% of total)

ival-add: 9.0ms (7.4% of total)

ival-div: 5.0ms (4.1% of total)

ival-sub: 2.0ms (1.7% of total)

exact: 1.0ms (0.8% of total)

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

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

series17.0ms (0.1%)

Memory

24.7MiB live, 24.7MiB allocated

Counts

15 → 70

Calls

Call 1

Inputs
#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 (.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)))
#s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 (.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))
(.f64 (fma.f64 (.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)
(fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64))
(fma.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y (.f64 (.f64 (*.f64 x y) y) #s(literal 1/2 binary64)))
#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (fma.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y (.f64 (.f64 (*.f64 x y) y) #s(literal 1/2 binary64)))))
#s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (fma.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y (.f64 (.f64 (*.f64 x y) y) #s(literal 1/2 binary64))))
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 (neg.f64 y) (fma.f64 (.f64 (.f64 (*.f64 x y) y) x) #s(literal -1/4 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 (.f64 (.f64 (.f64 x y) y) x) #s(literal -1/4 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) x)
(neg.f64 y)
(fma.f64 (.f64 (.f64 (*.f64 x y) y) x) #s(literal -1/4 binary64) #s(literal 1 binary64))
(*.f64 x y)
(.f64 (.f64 x y) y)
(.f64 (.f64 (*.f64 x y) 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)
(- (/ x y) 1)
(+ (* -1 y) (* -1/4 (* (pow x 2) (pow y 3))))
(+ (* -1 y) (* (pow x 2) (+ (* -1/4 (pow y 3)) (* -1/16 (* (pow x 2) (pow y 5))))))
(+ (* -1 y) (* (pow x 2) (+ (* -1/4 (pow y 3)) (* (pow x 2) (+ (* -1/16 (pow y 5)) (* -1/64 (* (pow x 2) (pow y 7))))))))
(+ (* -1 y) (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))))
(+ (* -1 y) (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))))
1
(+ 1 (* -1/4 (* (pow x 2) (pow y 2))))
(* x y)
(* x (pow y 2))
(* (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 y)
(* x (- (/ 1 y) (/ 1 x)))
(/ 4 (* (pow x 2) y))
(/ (+ (* 4 (/ 1 y)) (* 16 (/ 1 (* (pow x 2) (pow y 3))))) (pow x 2))
(/ (+ (* 4 (/ 1 y)) (+ (/ 16 (* (pow x 2) (pow y 3))) (/ 64 (* (pow x 4) (pow y 5))))) (pow x 2))
(/ (+ (* 4 (/ 1 y)) (+ (* 64 (/ 1 (* (pow x 4) (pow y 5)))) (+ (* 256 (/ 1 (* (pow x 6) (pow y 7)))) (/ 16 (* (pow x 2) (pow y 3)))))) (pow x 2))
(* -1/4 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1/4 (pow y 2)) (/ 1 (pow x 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 x) (/ 1 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))
(/ (+ x (* -1 y)) y)
(* y (- (* -1/4 (* (pow x 2) (pow y 2))) 1))
(* y (- (* (pow y 2) (+ (* -1/4 (pow x 2)) (* -1/16 (* (pow x 4) (pow y 2))))) 1))
(* y (- (* (pow y 2) (+ (* -1/4 (pow x 2)) (* (pow y 2) (+ (* -1/16 (pow x 4)) (* -1/64 (* (pow x 6) (pow y 2))))))) 1))
(- 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)))
(/ (+ (* 16 (/ 1 (* (pow x 4) (pow y 2)))) (* 4 (/ 1 (pow x 2)))) y)
(/ (+ (* 4 (/ 1 (pow x 2))) (+ (/ 16 (* (pow x 4) (pow y 2))) (/ 64 (* (pow x 6) (pow y 4))))) y)
(/ (+ (* 64 (/ 1 (* (pow x 6) (pow y 4)))) (+ (* 256 (/ 1 (* (pow x 8) (pow y 6)))) (+ (* 4 (/ 1 (pow x 2))) (/ 16 (* (pow x 4) (pow y 2)))))) y)
(* (pow y 2) (+ (* -1/4 (pow x 2)) (/ 1 (pow y 2))))
(- (+ 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 (/ (- (* -1 (/ (+ (* 16 (/ 1 (pow x 4))) (* 64 (/ 1 (* (pow x 6) (pow y 2))))) (pow y 2))) (* 4 (/ 1 (pow x 2)))) y))
(* -1 (/ (- (* -1 (/ (+ (* 64 (/ 1 (pow x 6))) (* 256 (/ 1 (* (pow x 8) (pow y 2))))) (pow y 4))) (+ (* 4 (/ 1 (pow x 2))) (/ 16 (* (pow x 4) (pow y 2))))) y))

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	y	@	inf	((- x (/ y (+ (* (* y x) 1/2) 1))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (* (+ (* (* x y) 1/2) -1) y) (+ (* (* x y) 1/2) -1) (+ (* (- (/ x y) 1) y) (* (* (* x y) y) 1/2)) (- x (/ y (+ (* (* y x) 1/2) 1))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (- (/ x y) 1) (/ (neg y) (+ (* (* (* (* x y) y) x) -1/4) 1)) (+ (* (/ (neg y) (+ (* (* (* (* x y) y) x) -1/4) 1)) (+ (* -1/2 (* y x)) 1)) x) (neg y) (+ (* (* (* (* x y) y) x) -1/4) 1) (* x y) (* (* x y) y) (* (* (* x y) y) x))
2.0ms	x	@	-inf	((- x (/ y (+ (* (* y x) 1/2) 1))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (* (+ (* (* x y) 1/2) -1) y) (+ (* (* x y) 1/2) -1) (+ (* (- (/ x y) 1) y) (* (* (* x y) y) 1/2)) (- x (/ y (+ (* (* y x) 1/2) 1))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (- (/ x y) 1) (/ (neg y) (+ (* (* (* (* x y) y) x) -1/4) 1)) (+ (* (/ (neg y) (+ (* (* (* (* x y) y) x) -1/4) 1)) (+ (* -1/2 (* y x)) 1)) x) (neg y) (+ (* (* (* (* x y) y) x) -1/4) 1) (* x y) (* (* x y) y) (* (* (* x y) y) x))
2.0ms	y	@	-inf	((- x (/ y (+ (* (* y x) 1/2) 1))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (* (+ (* (* x y) 1/2) -1) y) (+ (* (* x y) 1/2) -1) (+ (* (- (/ x y) 1) y) (* (* (* x y) y) 1/2)) (- x (/ y (+ (* (* y x) 1/2) 1))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (- (/ x y) 1) (/ (neg y) (+ (* (* (* (* x y) y) x) -1/4) 1)) (+ (* (/ (neg y) (+ (* (* (* (* x y) y) x) -1/4) 1)) (+ (* -1/2 (* y x)) 1)) x) (neg y) (+ (* (* (* (* x y) y) x) -1/4) 1) (* x y) (* (* x y) y) (* (* (* x y) y) x))
2.0ms	x	@	inf	((- x (/ y (+ (* (* y x) 1/2) 1))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (* (+ (* (* x y) 1/2) -1) y) (+ (* (* x y) 1/2) -1) (+ (* (- (/ x y) 1) y) (* (* (* x y) y) 1/2)) (- x (/ y (+ (* (* y x) 1/2) 1))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (- (/ x y) 1) (/ (neg y) (+ (* (* (* (* x y) y) x) -1/4) 1)) (+ (* (/ (neg y) (+ (* (* (* (* x y) y) x) -1/4) 1)) (+ (* -1/2 (* y x)) 1)) x) (neg y) (+ (* (* (* (* x y) y) x) -1/4) 1) (* x y) (* (* x y) y) (* (* (* x y) y) x))
2.0ms	x	@	0	((- x (/ y (+ (* (* y x) 1/2) 1))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (* (+ (* (* x y) 1/2) -1) y) (+ (* (* x y) 1/2) -1) (+ (* (- (/ x y) 1) y) (* (* (* x y) y) 1/2)) (- x (/ y (+ (* (* y x) 1/2) 1))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (- (/ x y) 1) (/ (neg y) (+ (* (* (* (* x y) y) x) -1/4) 1)) (+ (* (/ (neg y) (+ (* (* (* (* x y) y) x) -1/4) 1)) (+ (* -1/2 (* y x)) 1)) x) (neg y) (+ (* (* (* (* x y) y) x) -1/4) 1) (* x y) (* (* x y) y) (* (* (* x y) y) x))

simplify373.0ms (1.8%)

Memory

-31.7MiB live, 213.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	296	1016
1	848	1004
2	2376	955
3	6540	949
0	8271	900

Stop Event

1×	iter limit
1×	node limit

Counts

70 → 69

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)
(- (/ x y) 1)
(+ (* -1 y) (* -1/4 (* (pow x 2) (pow y 3))))
(+ (* -1 y) (* (pow x 2) (+ (* -1/4 (pow y 3)) (* -1/16 (* (pow x 2) (pow y 5))))))
(+ (* -1 y) (* (pow x 2) (+ (* -1/4 (pow y 3)) (* (pow x 2) (+ (* -1/16 (pow y 5)) (* -1/64 (* (pow x 2) (pow y 7))))))))
(+ (* -1 y) (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))))
(+ (* -1 y) (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))))
1
(+ 1 (* -1/4 (* (pow x 2) (pow y 2))))
(* x y)
(* x (pow y 2))
(* (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 y)
(* x (- (/ 1 y) (/ 1 x)))
(/ 4 (* (pow x 2) y))
(/ (+ (* 4 (/ 1 y)) (* 16 (/ 1 (* (pow x 2) (pow y 3))))) (pow x 2))
(/ (+ (* 4 (/ 1 y)) (+ (/ 16 (* (pow x 2) (pow y 3))) (/ 64 (* (pow x 4) (pow y 5))))) (pow x 2))
(/ (+ (* 4 (/ 1 y)) (+ (* 64 (/ 1 (* (pow x 4) (pow y 5)))) (+ (* 256 (/ 1 (* (pow x 6) (pow y 7)))) (/ 16 (* (pow x 2) (pow y 3)))))) (pow x 2))
(* -1/4 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1/4 (pow y 2)) (/ 1 (pow x 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 x) (/ 1 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))
(/ (+ x (* -1 y)) y)
(* y (- (* -1/4 (* (pow x 2) (pow y 2))) 1))
(* y (- (* (pow y 2) (+ (* -1/4 (pow x 2)) (* -1/16 (* (pow x 4) (pow y 2))))) 1))
(* y (- (* (pow y 2) (+ (* -1/4 (pow x 2)) (* (pow y 2) (+ (* -1/16 (pow x 4)) (* -1/64 (* (pow x 6) (pow y 2))))))) 1))
(- 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)))
(/ (+ (* 16 (/ 1 (* (pow x 4) (pow y 2)))) (* 4 (/ 1 (pow x 2)))) y)
(/ (+ (* 4 (/ 1 (pow x 2))) (+ (/ 16 (* (pow x 4) (pow y 2))) (/ 64 (* (pow x 6) (pow y 4))))) y)
(/ (+ (* 64 (/ 1 (* (pow x 6) (pow y 4)))) (+ (* 256 (/ 1 (* (pow x 8) (pow y 6)))) (+ (* 4 (/ 1 (pow x 2))) (/ 16 (* (pow x 4) (pow y 2)))))) y)
(* (pow y 2) (+ (* -1/4 (pow x 2)) (/ 1 (pow y 2))))
(- (+ 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 (/ (- (* -1 (/ (+ (* 16 (/ 1 (pow x 4))) (* 64 (/ 1 (* (pow x 6) (pow y 2))))) (pow y 2))) (* 4 (/ 1 (pow x 2)))) y))
(* -1 (/ (- (* -1 (/ (+ (* 64 (/ 1 (pow x 6))) (* 256 (/ 1 (* (pow x 8) (pow y 2))))) (pow y 4))) (+ (* 4 (/ 1 (pow x 2))) (/ 16 (* (pow x 4) (pow y 2))))) y))

Outputs
(* -1 y)
(neg.f64 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #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))
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)
(+ (* -1 y) (* 1/2 (* x (pow y 2))))
(.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)
-1
#s(literal -1 binary64)
(- (* 1/2 (* x y)) 1)
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (/ x y) 1)
(/.f64 (-.f64 x y) y)
(+ (* -1 y) (* -1/4 (* (pow x 2) (pow y 3))))
(fma.f64 (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) x) #s(literal -1/4 binary64) (neg.f64 y))
(+ (* -1 y) (* (pow x 2) (+ (* -1/4 (pow y 3)) (* -1/16 (* (pow x 2) (pow y 5))))))
(fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/16 binary64)) (pow.f64 y #s(literal 5 binary64)) (fma.f64 (.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) x) #s(literal -1/4 binary64) (neg.f64 y)))
(+ (* -1 y) (* (pow x 2) (+ (* -1/4 (pow y 3)) (* (pow x 2) (+ (* -1/16 (pow y 5)) (* -1/64 (* (pow x 2) (pow y 7))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) x) (pow.f64 y #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal -1/64 binary64)) x) x (*.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal -1/16 binary64))))) x (neg.f64 y))
(+ (* -1 y) (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))))
(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))
(+ (* -1 y) (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))))
(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))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (* (pow x 2) (pow y 2))))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* (pow x 2) (pow y 2))
(.f64 (.f64 (*.f64 y y) x) x)
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(fma.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) #s(literal 1 binary64)) x (/.f64 #s(literal -2 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 x (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x))) x) x)) (/.f64 #s(literal 2 binary64) 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 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)
(* 1/2 (* x (pow y 2)))
(.f64 (.f64 (*.f64 y x) #s(literal 1/2 binary64)) y)
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))
(.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)
(* 1/2 (* x y))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(* x (- (* 1/2 y) (/ 1 x)))
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64))
(/ x y)
(/.f64 x y)
(* x (- (/ 1 y) (/ 1 x)))
(/.f64 (-.f64 x y) y)
(/ 4 (* (pow x 2) y))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 x x) y))
(/ (+ (* 4 (/ 1 y)) (* 16 (/ 1 (* (pow x 2) (pow y 3))))) (pow x 2))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) x)) (/.f64 #s(literal 4 binary64) y)) x) x)
(/ (+ (* 4 (/ 1 y)) (+ (/ 16 (* (pow x 2) (pow y 3))) (/ 64 (* (pow x 4) (pow y 5))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) x)) (/.f64 #s(literal 4 binary64) y)) (/.f64 (/.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x))
(/ (+ (* 4 (/ 1 y)) (+ (* 64 (/ 1 (* (pow x 4) (pow y 5)))) (+ (* 256 (/ 1 (* (pow x 6) (pow y 7)))) (/ 16 (* (pow x 2) (pow y 3)))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (/.f64 #s(literal 256 binary64) (pow.f64 y #s(literal 7 binary64))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) x)))) (*.f64 x x))
(* -1/4 (* (pow x 2) (pow y 2)))
(.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal -1/4 binary64))
(* (pow x 2) (+ (* -1/4 (pow y 2)) (/ 1 (pow x 2))))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(fma.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) #s(literal 1 binary64)) x (/.f64 #s(literal -2 binary64) x))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(-.f64 (+.f64 x (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x))) x) x)) (/.f64 #s(literal 2 binary64) 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)))
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))
(.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) (/ 1 y))))
(/.f64 (-.f64 x y) y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(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))
(* y (- (* 1/2 (* x y)) 1))
(.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)
(/ (+ x (* -1 y)) y)
(/.f64 (-.f64 x y) y)
(* y (- (* -1/4 (* (pow x 2) (pow y 2))) 1))
(fma.f64 (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) x) #s(literal -1/4 binary64) (neg.f64 y))
(* y (- (* (pow y 2) (+ (* -1/4 (pow x 2)) (* -1/16 (* (pow x 4) (pow y 2))))) 1))
(fma.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) y) (.f64 (pow.f64 x #s(literal 4 binary64)) y) (.f64 (.f64 x x) #s(literal -1/4 binary64))) (pow.f64 y #s(literal 3 binary64)) (neg.f64 y))
(* y (- (* (pow y 2) (+ (* -1/4 (pow x 2)) (* (pow y 2) (+ (* -1/16 (pow x 4)) (* -1/64 (* (pow x 6) (pow y 2))))))) 1))
(fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) x) x (.f64 (fma.f64 (.f64 #s(literal -1/64 binary64) y) (.f64 (pow.f64 x #s(literal 6 binary64)) y) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/16 binary64))) (.f64 y y))) (pow.f64 y #s(literal 3 binary64)) (neg.f64 y))
(- x (* 2 (/ 1 x)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 x x) y)) x) (/.f64 #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 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x))) x) x)) (/.f64 #s(literal 2 binary64) 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 4 binary64) (.f64 (.f64 x x) y)) x) (/.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 #s(literal 2 binary64) x))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 x y) 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))
(/ (+ (* 16 (/ 1 (* (pow x 4) (pow y 2)))) (* 4 (/ 1 (pow x 2)))) y)
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) y) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -4 binary64) (*.f64 x x))) y)
(/ (+ (* 4 (/ 1 (pow x 2))) (+ (/ 16 (* (pow x 4) (pow y 2))) (/ 64 (* (pow x 6) (pow y 4))))) y)
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 x x))) y)
(/ (+ (* 64 (/ 1 (* (pow x 6) (pow y 4)))) (+ (* 256 (/ 1 (* (pow x 8) (pow y 6)))) (+ (* 4 (/ 1 (pow x 2))) (/ 16 (* (pow x 4) (pow y 2)))))) y)
(/.f64 (+.f64 (-.f64 (/.f64 (/.f64 #s(literal 256 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (+.f64 (/.f64 (/.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 16 binary64) y) y) (pow.f64 x #s(literal 4 binary64))))) y)
(* (pow y 2) (+ (* -1/4 (pow x 2)) (/ 1 (pow y 2))))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) (*.f64 y y) #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 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 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (/.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 #s(literal 2 binary64) x))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (/.f64 x y) y)) y #s(literal -1 binary64)) y)
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64))
(* -1 (/ (- (* -1 (/ (+ (* 16 (/ 1 (pow x 4))) (* 64 (/ 1 (* (pow x 6) (pow y 2))))) (pow y 2))) (* 4 (/ 1 (pow x 2)))) y))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) y) y) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 y y)) (/.f64 #s(literal -4 binary64) (.f64 x x))) y)
(* -1 (/ (- (* -1 (/ (+ (* 64 (/ 1 (pow x 6))) (* 256 (/ 1 (* (pow x 8) (pow y 2))))) (pow y 4))) (+ (* 4 (/ 1 (pow x 2))) (/ 16 (* (pow x 4) (pow y 2))))) y))
(/.f64 (-.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 256 binary64) (pow.f64 x #s(literal 8 binary64))) y) y) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -4 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y y))) y)

rewrite255.0ms (1.2%)

Memory

-5.1MiB live, 270.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	210
0	56	206
1	250	198
2	1871	196
0	9054	192

Stop Event

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

Counts

15 → 364

Calls

Call 1

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

Outputs
#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) #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 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 y (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal -1 binary64)) #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)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 y (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 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 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal -1 binary64)) #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))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y x)))) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y)
(.f64 y (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (.f64 (.f64 (.f64 y x) y) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (.f64 (.f64 (.f64 y x) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (neg.f64 y) (.f64 (.f64 (.f64 y x) y) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 y x) y) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 (.f64 y x) y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (.f64 y y) (.f64 (.f64 (.f64 (*.f64 y x) y) #s(literal 1/2 binary64)) (neg.f64 y)))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) y)) (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) y)) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y x))))))
(/.f64 (neg.f64 (.f64 y (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y x))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) y) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #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 #s(literal -1/2 binary64) (*.f64 y x)))))
(/.f64 (.f64 y (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #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 #s(literal -1/2 binary64) (*.f64 y x)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 y y) (neg.f64 y))
(fma.f64 (.f64 (.f64 y x) y) #s(literal 1/2 binary64) (neg.f64 y))
(fma.f64 (.f64 y x) (.f64 #s(literal 1/2 binary64) y) (neg.f64 y))
(fma.f64 #s(literal -1 binary64) y (.f64 (.f64 (*.f64 y x) y) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 y x) (neg.f64 y))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) y (neg.f64 y))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y x) y) (neg.f64 y))
(fma.f64 y #s(literal -1 binary64) (.f64 (.f64 (*.f64 y x) y) #s(literal 1/2 binary64)))
(fma.f64 y (.f64 (.f64 #s(literal 1/2 binary64) x) y) (neg.f64 y))
(fma.f64 x (.f64 (.f64 y y) #s(literal 1/2 binary64)) (neg.f64 y))
(fma.f64 x (.f64 y (.f64 #s(literal 1/2 binary64) y)) (neg.f64 y))
(+.f64 (neg.f64 y) (.f64 (.f64 (*.f64 y x) y) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 (*.f64 y x) y) #s(literal 1/2 binary64)) (neg.f64 y))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y x)))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)) #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)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 y x)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y x)))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 y x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)))))
(/.f64 (neg.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 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y x)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)))))
(/.f64 (-.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) x) y #s(literal 1 binary64)))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.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) x) y #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)) #s(literal 2 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) x) y)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (.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)) (fma.f64 (.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64))))
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(+.f64 (.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64))) x)
(+.f64 x (.f64 (/.f64 (neg.f64 y) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 y y) (.f64 #s(literal 0 binary64) (neg.f64 y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))) (neg.f64 (+.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
(neg.f64 y)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 0 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y)))))
(-.f64 #s(literal 0 binary64) y)
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.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 (fma.f64 #s(literal -1/64 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/64 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 y x) #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 y x) #s(literal 4 binary64))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (.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 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 y x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 y x) #s(literal 4 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 y x) #s(literal 4 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 y x) #s(literal 4 binary64)) (-.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) (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/64 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 y x) #s(literal 4 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 y x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/64 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64))))
(fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 (*.f64 y x) y)) x #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 y x)) (*.f64 y x) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/4 binary64) x) (.f64 (*.f64 y x) y) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 (.f64 y x) #s(literal 2 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)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 y x) y) (.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 y x) y) (*.f64 #s(literal -1/4 binary64) x) #s(literal 1 binary64))
(fma.f64 (.f64 y x) (.f64 (*.f64 y x) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 y x) (.f64 y (*.f64 #s(literal -1/4 binary64) x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 y (.f64 (.f64 y x) (*.f64 #s(literal -1/4 binary64) x)) #s(literal 1 binary64))
(fma.f64 x (.f64 (.f64 (*.f64 y x) y) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(fma.f64 x (.f64 (.f64 y y) (*.f64 #s(literal -1/4 binary64) x)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))))) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 y x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 y x) #s(literal 4 binary64))) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.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 #s(literal -1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(*.f64 y x)
(*.f64 x y)
(.f64 (.f64 y y) x)
(.f64 (.f64 y x) y)
(.f64 y (.f64 y x))
(.f64 x (.f64 y y))
(.f64 (.f64 (*.f64 y x) x) y)
(.f64 (.f64 x (*.f64 y x)) y)
(.f64 (.f64 y y) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 y y))
(.f64 (.f64 (*.f64 y x) y) x)
(.f64 (.f64 y x) (*.f64 y x))
(.f64 y (.f64 (*.f64 y x) x))
(.f64 y (.f64 x (*.f64 y x)))
(.f64 x (.f64 (*.f64 y x) y))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(exp.f64 (.f64 (log.f64 (.f64 y x)) #s(literal 2 binary64)))

eval84.0ms (0.4%)

Memory: 10.5MiB live, 174.8MiB allocated
Compiler: Compiled 16 353 to 1 753 computations (89.3% saved)

prune35.0ms (0.2%)

Memory

-8.6MiB live, 31.0MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	419	1	420
Fresh	0	0	0
Picked	1	2	3
Done	0	6	6
Total	420	9	429

Accuracy

100.0%

Counts

429 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	83.2%	(fma.f64 (/.f64 (neg.f64 y) (fma.f64 (.f64 (.f64 (.f64 x y) y) x) #s(literal -1/4 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) x)
✓	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
✓	65.0%	(-.f64 x (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
✓	60.8%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)))
✓	65.1%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	73.0%	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y))
	24.5%	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (fma.f64 (.f64 (.f64 y x) y) #s(literal 1/2 binary64) (neg.f64 y))))
✓	24.5%	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 (.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)))
✓	23.9%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Compiler

Compiled 540 to 226 computations (58.1% saved)

regimes46.0ms (0.2%)

Memory

0.3MiB live, 38.9MiB allocated

Counts

17 → 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))
#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 (.f64 x y) #s(literal 1/2 binary64) #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))
#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x))
#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (fma.f64 (.f64 (.f64 y x) y) #s(literal 1/2 binary64) (neg.f64 y))))
(-.f64 x (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)))
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (fma.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y (.f64 (.f64 (*.f64 x y) y) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 (.f64 (.f64 (.f64 x y) y) x) #s(literal -1/4 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) x)
(-.f64 x (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64))) (.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64))) (neg.f64 y))) (.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (neg.f64 y) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) x)
(-.f64 x (.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) y) #s(literal -1/2 binary64))))

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

Calls

3 calls:

35.0ms	x
5.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
5.0ms	y

Results

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

Compiler

Compiled 13 to 13 computations (0% saved)

regimes10.0ms (0%)

Memory

21.0MiB live, 21.0MiB allocated

Counts

9 → 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))
#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 (.f64 x y) #s(literal 1/2 binary64) #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))
#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x))
#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (fma.f64 (.f64 (.f64 y x) y) #s(literal 1/2 binary64) (neg.f64 y))))
(-.f64 x (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 #s(literal 1/2 binary64) (.f64 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:

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

Results

Accuracy	Segments	Branch
87.9%	3	`x`
92.4%	3	`y`
88.4%	3	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes5.0ms (0%)

Memory

12.5MiB live, 12.5MiB allocated

Counts

3 → 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))
#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y))

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

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
73.0%	1	`x`
73.0%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
73.0%	1	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes31.0ms (0.1%)

Memory

-25.7MiB live, 12.7MiB allocated

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:

28.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
23.9%	1	`x`
23.9%	1	`y`
23.9%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch25.0ms (0.1%)

Memory

22.5MiB live, 63.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.6056533871761426e+78	2.2375800296330032e+79
10.0ms	-9.242464415185095e+107	-1.3426218485376755e+106

Samples

14.0ms

208×

valid

Compiler

Compiled 404 to 339 computations (16.1% saved)

Precisions

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

ival-div: 3.0ms (44.6% of total)

ival-mult: 2.0ms (29.7% of total)

ival-sub: 1.0ms (14.9% of total)

ival-add: 1.0ms (14.9% of total)

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

exact: 0.0ms (0% of total)

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

simplify131.0ms (0.6%)

Memory

-30.3MiB live, 46.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	92
1	39	92
2	51	92
3	58	92
4	62	92
5	63	92

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -44999999999999996966994040095878273531160520350073331391815180356007185802589430944359261267258783215648768 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 y #s(literal 18500000000000000465664101020985637962810815334580291078320458206297967137128448 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 (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -44999999999999996966994040095878273531160520350073331391815180356007185802589430944359261267258783215648768 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 y #s(literal 18500000000000000465664101020985637962810815334580291078320458206297967137128448 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))

soundness415.0ms (2%)

Memory

28.1MiB live, 346.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	702
1	738	677
2	1940	654
3	6075	648
0	8423	614
0	9	35
0	14	35
1	63	35
2	500	35
3	6873	35
0	8527	32

Stop Event

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

Compiler

Compiled 126 to 57 computations (54.8% saved)

preprocess61.0ms (0.3%)

Memory: -38.0MiB live, 58.4MiB allocated
Compiler: Compiled 206 to 76 computations (63.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze89.0ms (0.4%)

sample15.3s (72.7%)

explain162.0ms (0.8%)

preprocess72.0ms (0.3%)

eval0.0ms (0%)

prune43.0ms (0.2%)

simplify29.0ms (0.1%)

localize34.0ms (0.2%)

series32.0ms (0.2%)

simplify281.0ms (1.3%)

rewrite237.0ms (1.1%)

eval57.0ms (0.3%)

prune19.0ms (0.1%)

simplify457.0ms (2.2%)

localize141.0ms (0.7%)

series82.0ms (0.4%)

simplify463.0ms (2.2%)

rewrite349.0ms (1.7%)

eval119.0ms (0.6%)

prune39.0ms (0.2%)

simplify204.0ms (1%)

localize111.0ms (0.5%)

series19.0ms (0.1%)

simplify248.0ms (1.2%)

rewrite440.0ms (2.1%)

eval114.0ms (0.5%)

prune15.0ms (0.1%)

simplify173.0ms (0.8%)

localize206.0ms (1%)

series17.0ms (0.1%)

simplify373.0ms (1.8%)

rewrite255.0ms (1.2%)

eval84.0ms (0.4%)

prune35.0ms (0.2%)

regimes46.0ms (0.2%)

regimes10.0ms (0%)

regimes5.0ms (0%)

regimes31.0ms (0.1%)

bsearch25.0ms (0.1%)

simplify131.0ms (0.6%)

soundness415.0ms (2%)

preprocess61.0ms (0.3%)

end0.0ms (0%)

Profiling