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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze24.0ms (0.4%)

Memory

-2.5MiB live, 36.1MiB 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)

sample1.1s (18.4%)

Memory

-2.2MiB live, 1 191.1MiB allocated

Samples

752.0ms	8 254×	0	valid
0.0ms	2×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 441.0ms

ival-mult: 170.0ms (38.6% of total)

ival-div: 115.0ms (26.1% of total)

ival-sub: 101.0ms (22.9% of total)

ival-add: 37.0ms (8.4% of total)

exact: 8.0ms (1.8% of total)

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

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

adjust: 0.0ms (0% of total)

Bogosity

explain224.0ms (3.6%)

Memory

8.8MiB live, 208.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
39	-	-	`(/.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

52.0ms

512×

valid

Compiler

Compiled 171 to 62 computations (63.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 7.0ms (42.7% of total)

ival-mult: 4.0ms (24.4% of total)

ival-sub: 2.0ms (12.2% of total)

ival-add: 2.0ms (12.2% of total)

exact: 1.0ms (6.1% of total)

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

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

preprocess67.0ms (1.1%)

Memory

-11.4MiB live, 66.9MiB 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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)

simplify31.0ms (0.5%)

Memory

2.0MiB live, 39.2MiB 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)

localize24.0ms (0.4%)

Memory

5.8MiB live, 44.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
accuracy	0	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
accuracy	0	(*.f64 x y)
accuracy	9.21531357824031	(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))

Samples

18.0ms

256×

valid

Compiler

Compiled 80 to 20 computations (75% saved)

Precisions

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

ival-mult: 4.0ms (39.9% of total)

ival-div: 3.0ms (30% of total)

ival-sub: 1.0ms (10% of total)

ival-add: 1.0ms (10% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB 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
1.0ms	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	y	@	-inf	((/ (* x y) 2) (+ 1 (/ (* x y) 2)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (* x y))

simplify194.0ms (3.1%)

Memory

-27.4MiB live, 258.5MiB 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))

rewrite294.0ms (4.8%)

Memory

3.4MiB live, 157.3MiB 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))))
(/.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))))
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(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) y) #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))) (-.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 (/.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))

eval99.0ms (1.6%)

Memory: 14.8MiB live, 51.4MiB allocated
Compiler: Compiled 8 357 to 1 088 computations (87% saved)

prune7.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	298	7	305
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	299	7	306

Accuracy

100.0%

Counts

306 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
	99.9%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) y)))
▶	65.2%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
▶	58.4%	#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))
	62.9%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x))
▶	73.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
▶	25.8%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Compiler

Compiled 214 to 160 computations (25.2% saved)

simplify91.0ms (1.5%)

Memory

-15.2MiB live, 23.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 #s(literal 1/2 binary64) y)
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
cost-diff	0	(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
cost-diff	0	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x))
cost-diff	0	(/.f64 #s(literal 2 binary64) x)
cost-diff	0	#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
cost-diff	0	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
cost-diff	0	(-.f64 x y)
cost-diff	0	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
cost-diff	0	(*.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: 6 (0.0ms)

Iter	Nodes	Cost
0	26	144
0	40	144
1	66	144
2	101	144
3	178	144
4	367	144
5	699	141
6	1084	139
7	1416	139
8	1604	139
9	1736	139
10	1823	139
11	1927	139
12	1944	139
13	1953	139
14	1960	139
15	1961	139
0	1961	139

Stop Event

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

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

localize300.0ms (4.9%)

Memory

-8.3MiB live, 73.2MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
accuracy	0	(*.f64 #s(literal 1/2 binary64) y)
accuracy	0.046875	(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
accuracy	26.63921519053139	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x))
accuracy	0	(/.f64 #s(literal 2 binary64) x)
accuracy	0	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
accuracy	28.359026918790036	#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
accuracy	0	(-.f64 x y)
accuracy	17.126150644076954	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
accuracy	0	(neg.f64 y)
accuracy	47.48613431111586	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
accuracy	0	(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))
accuracy	0	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
accuracy	0	(*.f64 y x)
accuracy	9.21531357824031	(/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))

Samples

43.0ms

256×

valid

Compiler

Compiled 271 to 54 computations (80.1% saved)

Precisions

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

ival-mult: 9.0ms (36% of total)

ival-div: 6.0ms (24% of total)

ival-add: 4.0ms (16% of total)

ival-sub: 3.0ms (12% of total)

ival-neg: 1.0ms (4% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

21.9MiB live, 21.9MiB allocated

Counts

15 → 68

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

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

Calls

6 calls:

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

simplify215.0ms (3.5%)

Memory

-13.1MiB live, 145.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	278	844
1	875	820
2	2370	795
3	7072	791
0	8290	739

Stop Event

1×	iter limit
1×	node limit

Counts

68 → 66

Calls

Call 1

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

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

rewrite296.0ms (4.8%)

Memory

20.2MiB live, 139.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	131
0	40	126
1	193	126
2	1203	126
0	8422	126

Stop Event

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

Counts

15 → 328

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

Outputs
(.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (*.f64 x x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)) (/.f64 (.f64 x x) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)) (fma.f64 (/.f64 (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)) (/.f64 (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)) (.f64 (/.f64 (.f64 x x) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)) (/.f64 (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x))) (fma.f64 (/.f64 (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x))) (/.f64 (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x))) (/.f64 (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (*.f64 x x)))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (/.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)) (.f64 (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64)))) (.f64 (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x))) (.f64 (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x)) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 3 binary64)))) (.f64 (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x)) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 x (/.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 x (/.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 x (/.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))) (-.f64 (.f64 x x) (pow.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 x (/.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64))) #s(literal -1 binary64))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 y (pow.f64 (fma.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.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 (.f64 y x) #s(literal 1/2 binary64)))) #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)
(fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64))) #s(literal -1 binary64))) x)
(fma.f64 (/.f64 y (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) (pow.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64))) x)
(fma.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) x)
(fma.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) x)
(fma.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)
(fma.f64 (neg.f64 y) (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) #s(literal -1 binary64)) x)
(fma.f64 y (neg.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) #s(literal -1 binary64))) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))) (/.f64 (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 x (/.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))))
(-.f64 (/.f64 (.f64 x x) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)) (/.f64 (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (.f64 x x))) (/.f64 (pow.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x) (*.f64 x x))))
(-.f64 x (/.f64 y (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(+.f64 (/.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) x)
(+.f64 x (/.f64 (neg.f64 y) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
(.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #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 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 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 (.f64 y x) #s(literal -1/2 binary64)))))))
(/.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 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #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 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #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 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #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 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 y x) #s(literal 1/2 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))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) y)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64))))
(/.f64 (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 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) y))))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal -1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal -1 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)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))) (-.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) y))) (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) y)) x #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 y x)) #s(literal 1/2 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64))
(fma.f64 (*.f64 (neg.f64 y) x) #s(literal -1/2 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
(fma.f64 y (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 y (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(fma.f64 x (.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 3 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 #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 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) y #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 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) y)))
(/.f64 (neg.f64 y) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(/.f64 y #s(literal 2 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal -2 binary64)))

eval175.0ms (2.8%)

Memory: -12.1MiB live, 63.3MiB allocated
Compiler: Compiled 11 581 to 1 378 computations (88.1% saved)

prune7.0ms (0.1%)

Memory

19.6MiB live, 19.6MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	362	2	364
Fresh	1	1	2
Picked	1	4	5
Done	0	0	0
Total	364	7	371

Accuracy

100.0%

Counts

371 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
▶	99.9%	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) y)))
✓	65.2%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
▶	62.9%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x))
✓	73.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
✓	25.8%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
▶	26.9%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y)))

Compiler

Compiled 118 to 88 computations (25.4% saved)

simplify98.0ms (1.6%)

Memory

-25.1MiB live, 56.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
cost-diff	0	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) y)))
cost-diff	320	(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) y)
cost-diff	384	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) y))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 #s(literal -2 binary64) (*.f64 x x))
cost-diff	0	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x))
cost-diff	512	(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x)
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y)
cost-diff	0	#s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y))
cost-diff	0	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	154
0	45	152
1	79	152
2	125	142
3	221	140
4	408	140
5	795	140
6	1586	139
7	2726	139
8	5969	139
0	8110	136

Stop Event

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

Calls

Call 1

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

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

localize76.0ms (1.2%)

Memory

-3.7MiB live, 71.9MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) y)))
accuracy	0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.109375	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) y))
accuracy	9.186860290168404	(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) y)
accuracy	0	(*.f64 x x)
accuracy	0.16736251493573495	(/.f64 #s(literal -2 binary64) (*.f64 x x))
accuracy	13.534970522820876	(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x)
accuracy	22.275967473503343	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x))
accuracy	0	(*.f64 y x)
accuracy	0.0703125	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y)
accuracy	20.715693837232344	#s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y))
accuracy	26.63921519053139	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y)))

Samples

52.0ms

256×

valid

Compiler

Compiled 278 to 67 computations (75.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 17.0ms (49.1% of total)

ival-div: 8.0ms (23.1% of total)

ival-add: 7.0ms (20.2% of total)

ival-sub: 2.0ms (5.8% of total)

exact: 1.0ms (2.9% of total)

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

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

series9.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

14 → 75

Calls

Call 1

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

Calls

6 calls:

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

simplify223.0ms (3.6%)

Memory

7.4MiB live, 157.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	280	933
1	885	900
2	2363	854
3	7620	828
0	8475	776

Stop Event

1×	iter limit
1×	node limit

Counts

75 → 73

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

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

rewrite346.0ms (5.6%)

Memory

9.4MiB live, 174.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	144
0	45	136
1	218	136
2	1337	130
0	8089	128

Stop Event

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

Counts

14 → 405

Calls

Call 1

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

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

eval243.0ms (3.9%)

Memory: -17.6MiB live, 65.7MiB allocated
Compiler: Compiled 12 283 to 1 764 computations (85.6% saved)

prune8.0ms (0.1%)

Memory

25.9MiB live, 25.9MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	442	3	445
Fresh	0	0	0
Picked	1	2	3
Done	0	4	4
Total	443	9	452

Accuracy

100.0%

Counts

452 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
▶	99.9%	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* 1/2 x) y) 1) y) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y)))))
✓	65.2%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	62.9%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x))
✓	73.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
✓	25.8%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
▶	13.4%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x)))
▶	26.9%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) y (neg.f64 y))))
✓	26.9%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y)))

Compiler

Compiled 184 to 135 computations (26.6% saved)

simplify197.0ms (3.2%)

Memory

-8.1MiB live, 106.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	186
0	49	186
1	86	186
2	139	178
3	244	178
4	424	178
5	1014	178
6	1679	178
7	2813	178
8	5786	178
0	8097	166

Stop Event

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

Calls

Call 1

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

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

localize106.0ms (1.7%)

Memory

13.3MiB live, 128.9MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* 1/2 x) y) 1) y) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y)))))
accuracy	0	#s(approx (/ (+ (* (* 1/2 x) y) 1) y) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y)))
accuracy	0.015625	(fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y))
accuracy	0.109375	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* 1/2 x) y) 1) y) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y))))
accuracy	0	(/.f64 #s(literal -2 binary64) x)
accuracy	22.275967473503343	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x)))
accuracy	33.47224250065219	#s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x))
accuracy	0	(neg.f64 y)
accuracy	0.06640625	(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) y (neg.f64 y))
accuracy	20.715693837232344	#s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) y (neg.f64 y)))
accuracy	26.63921519053139	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) y (neg.f64 y))))

Samples

88.0ms

256×

valid

Compiler

Compiled 305 to 77 computations (74.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-add: 31.0ms (40.9% of total)

ival-div: 15.0ms (19.8% of total)

ival-sub: 14.0ms (18.5% of total)

ival-mult: 13.0ms (17.1% of total)

exact: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

series32.0ms (0.5%)

Memory

-16.2MiB live, 20.9MiB allocated

Counts

12 → 60

Calls

Call 1

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

Outputs
(* -1 y)
(- (* 1/2 (* x (pow y 2))) 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)))))
(* 1/2 (* x y))
(/ -2 x)
(/ (- (pow x 2) 2) x)
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 y)
(+ (* 1/2 x) (/ 1 y))
(* 1/2 (* x (pow y 2)))
(* x (+ (* -1 (/ y x)) (* 1/2 (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)))))
(/ 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)
(* 1/2 x)
(* x (+ 1/2 (/ 1 (* x y))))
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y 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 (* x (- (* -1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 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))
(* y (- (* 1/2 (* x y)) 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)))))
(/ (+ 1 (* 1/2 (* x y))) y)
(* (pow y 2) (- (* 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))))))
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 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))))
(- (+ 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 (/ (- (* 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
24.0ms	x	@	inf	((+ (* (* (* 1/2 x) y) y) (neg y)) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (* (* 1/2 x) y) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (/ -2 (* x x)) x) x) (/ -2 x) (- x (/ 1 (/ (+ (* (* 1/2 x) y) 1) y))) (/ 1 (/ (+ (* (* 1/2 x) y) 1) y)) (/ (+ (* (* 1/2 x) y) 1) y) (+ (* 1/2 x) (/ 1 y)) (neg y))
2.0ms	x	@	0	((+ (* (* (* 1/2 x) y) y) (neg y)) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (* (* 1/2 x) y) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (/ -2 (* x x)) x) x) (/ -2 x) (- x (/ 1 (/ (+ (* (* 1/2 x) y) 1) y))) (/ 1 (/ (+ (* (* 1/2 x) y) 1) y)) (/ (+ (* (* 1/2 x) y) 1) y) (+ (* 1/2 x) (/ 1 y)) (neg y))
1.0ms	x	@	-inf	((+ (* (* (* 1/2 x) y) y) (neg y)) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (* (* 1/2 x) y) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (/ -2 (* x x)) x) x) (/ -2 x) (- x (/ 1 (/ (+ (* (* 1/2 x) y) 1) y))) (/ 1 (/ (+ (* (* 1/2 x) y) 1) y)) (/ (+ (* (* 1/2 x) y) 1) y) (+ (* 1/2 x) (/ 1 y)) (neg y))
1.0ms	y	@	-inf	((+ (* (* (* 1/2 x) y) y) (neg y)) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (* (* 1/2 x) y) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (/ -2 (* x x)) x) x) (/ -2 x) (- x (/ 1 (/ (+ (* (* 1/2 x) y) 1) y))) (/ 1 (/ (+ (* (* 1/2 x) y) 1) y)) (/ (+ (* (* 1/2 x) y) 1) y) (+ (* 1/2 x) (/ 1 y)) (neg y))
1.0ms	y	@	inf	((+ (* (* (* 1/2 x) y) y) (neg y)) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (* (* 1/2 x) y) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (/ -2 (* x x)) x) x) (/ -2 x) (- x (/ 1 (/ (+ (* (* 1/2 x) y) 1) y))) (/ 1 (/ (+ (* (* 1/2 x) y) 1) y)) (/ (+ (* (* 1/2 x) y) 1) y) (+ (* 1/2 x) (/ 1 y)) (neg y))

simplify242.0ms (3.9%)

Memory

-32.7MiB live, 236.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	258	843
1	814	815
2	2185	788
3	6752	783
0	8088	737

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 58

Calls

Call 1

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

rewrite154.0ms (2.5%)

Memory

31.1MiB live, 264.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	171
0	49	171
1	235	171
2	1871	163
0	8721	151

Stop Event

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

Counts

12 → 245

Calls

Call 1

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

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

eval180.0ms (2.9%)

Memory: -19.1MiB live, 66.9MiB allocated
Compiler: Compiled 10 516 to 1 233 computations (88.3% saved)

prune46.0ms (0.7%)

Memory

-12.0MiB live, 27.0MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	280	1	281
Fresh	0	0	0
Picked	0	3	3
Done	1	5	6
Total	281	9	290

Accuracy

100.0%

Counts

290 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
✓	99.9%	(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* 1/2 x) y) 1) y) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y)))))
✓	65.2%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	73.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
✓	25.8%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
✓	13.4%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x)))
	11.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) x)))
✓	26.9%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) y (neg.f64 y))))
✓	26.9%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y)))

Compiler

Compiled 462 to 223 computations (51.7% saved)

regimes57.0ms (0.9%)

Memory

-9.4MiB live, 29.5MiB allocated

Counts

14 → 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 (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x)))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) y (neg.f64 y))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x))
(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (* 1/2 x) y) 1) y) (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y)))))
(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) y)))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)) y)))

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

Calls

3 calls:

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

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)

regimes11.0ms (0.2%)

Memory

20.4MiB live, 20.4MiB 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 (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.f64 #s(literal -2 binary64) x)))
(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) y) y (neg.f64 y))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) x)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x 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:

4.0ms	(-.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
89.8%	3	`x`
90.9%	3	`y`
86.4%	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)

regimes6.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

3 → 2

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
73.2%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
76.8%	3	`x`
75.7%	2	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes6.0ms (0.1%)

Memory

-35.8MiB live, 7.4MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
73.2%	1	`x`
73.2%	1	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB 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:

1.0ms	(-.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
25.8%	1	`x`
25.8%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
25.8%	1	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch14.0ms (0.2%)

Memory

21.0MiB live, 21.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	7.815113581612454e+123	2.90732006242816e+124
5.0ms	-9.18729976249653e+103	-6.67512429695437e+103

Samples

7.0ms

128×

valid

Compiler

Compiled 254 to 214 computations (15.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (50.8% of total)

ival-sub: 1.0ms (25.4% of total)

ival-add: 1.0ms (25.4% of total)

ival-mult: 1.0ms (25.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch17.0ms (0.3%)

Memory

-10.9MiB live, 28.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	3.5082236009722847e+207	3.540068593482031e+212

Samples

9.0ms

144×

valid

Compiler

Compiled 374 to 293 computations (21.7% saved)

Precisions

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

ival-div: 4.0ms (65.8% of total)

ival-sub: 1.0ms (16.5% of total)

ival-add: 1.0ms (16.5% of total)

ival-mult: 1.0ms (16.5% of total)

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

exact: 0.0ms (0% of total)

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

simplify54.0ms (0.9%)

Memory

10.3MiB live, 48.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	136
1	50	136
2	62	136
3	69	136
4	73	136
5	74	136

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 -80000000000000000153254006858773498897276410181215360892224281167950345936319100476898891608654425882624 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 y #s(literal 15999999999999999643359515702466074720927748761518745238273333162599860654237438177245864941464122106956120353135221608022016 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))))
(if (<=.f64 y #s(literal 156000000000000009069484024365193049149841025451306832581256073701550853412549115728127806371598934485119907933458673788857585853223842606613436359530217749803169102946899367799336166788997613256673913933406404608 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.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 -80000000000000000153254006858773498897276410181215360892224281167950345936319100476898891608654425882624 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 y #s(literal 15999999999999999643359515702466074720927748761518745238273333162599860654237438177245864941464122106956120353135221608022016 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))))
(if (<=.f64 y #s(literal 156000000000000009069484024365193049149841025451306832581256073701550853412549115728127806371598934485119907933458673788857585853223842606613436359530217749803169102946899367799336166788997613256673913933406404608 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (/ -2 (* x x)) x) x) (/.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))

soundness665.0ms (10.8%)

Memory

0.6MiB live, 508.5MiB 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	280	933
1	885	900
2	2363	854
3	7620	828
0	8475	776
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
1×	iter limit
1×	node limit

Compiler

Compiled 181 to 80 computations (55.8% saved)

preprocess168.0ms (2.7%)

Memory: -17.4MiB live, 106.2MiB allocated
Compiler: Compiled 294 to 100 computations (66% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze24.0ms (0.4%)

sample1.1s (18.4%)

explain224.0ms (3.6%)

preprocess67.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify31.0ms (0.5%)

localize24.0ms (0.4%)

series9.0ms (0.1%)

simplify194.0ms (3.1%)

rewrite294.0ms (4.8%)

eval99.0ms (1.6%)

prune7.0ms (0.1%)

simplify91.0ms (1.5%)

localize300.0ms (4.9%)

series9.0ms (0.2%)

simplify215.0ms (3.5%)

rewrite296.0ms (4.8%)

eval175.0ms (2.8%)

prune7.0ms (0.1%)

simplify98.0ms (1.6%)

localize76.0ms (1.2%)

series9.0ms (0.1%)

simplify223.0ms (3.6%)

rewrite346.0ms (5.6%)

eval243.0ms (3.9%)

prune8.0ms (0.1%)

simplify197.0ms (3.2%)

localize106.0ms (1.7%)

series32.0ms (0.5%)

simplify242.0ms (3.9%)

rewrite154.0ms (2.5%)

eval180.0ms (2.9%)

prune46.0ms (0.7%)

regimes57.0ms (0.9%)

regimes11.0ms (0.2%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch14.0ms (0.2%)

bsearch17.0ms (0.3%)

simplify54.0ms (0.9%)

soundness665.0ms (10.8%)

preprocess168.0ms (2.7%)

end0.0ms (0%)

Profiling