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

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze51.0ms (0.9%)

Memory

-1.4MiB live, 37.9MiB allocated; 15ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.2s (20.6%)

Memory

-4.8MiB live, 1 526.2MiB allocated; 334ms collecting garbage

Samples

803.0ms	8 251×	0	valid
0.0ms	2×	3	valid
0.0ms	2×	2	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 503.0ms

ival-div: 170.0ms (33.8% of total)

ival-sub: 134.0ms (26.6% of total)

ival-mult: 105.0ms (20.9% of total)

ival-add: 76.0ms (15.1% of total)

exact: 8.0ms (1.6% of total)

ival-true: 6.0ms (1.2% of total)

adjust: 3.0ms (0.6% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain183.0ms (3.2%)

Memory

11.5MiB live, 206.9MiB allocated; 18ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
28	-	-	`(/.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

31.0ms

512×

valid

Compiler

Compiled 93 to 31 computations (66.7% saved)

Precisions

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

ival-div: 7.0ms (42.3% of total)

ival-mult: 4.0ms (24.2% of total)

ival-sub: 2.0ms (12.1% of total)

ival-add: 2.0ms (12.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess39.0ms (0.7%)

Memory

-32.2MiB live, 17.3MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	65
1	43	61
2	64	59
3	110	59
4	149	59
5	157	59
6	166	59
7	168	59
0	9	11
0	14	11
1	21	11
2	27	11
3	41	11
4	70	11
5	103	11
6	108	11
7	111	11
8	119	11
9	121	11
0	121	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 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))))

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify7.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	39
0	14	39
1	21	39
2	27	39
3	41	39
4	70	39
5	103	39
6	108	39
7	111	39
8	119	39
9	121	39
0	121	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 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))))
x
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64)))
y
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
(fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(/.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 x y)
(*.f64 y x)
#s(literal 2 binary64)

localize23.0ms (0.4%)

Memory

32.6MiB live, 32.6MiB allocated; 0ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	0.00390625	(/.f64 (*.f64 x y) #s(literal 2 binary64))
accuracy	0.010097509768442016	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
accuracy	6.6714409110156865	(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))

Samples

16.0ms

256×

valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

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

ival-div: 3.0ms (35.3% of total)

ival-mult: 2.0ms (23.5% of total)

ival-sub: 1.0ms (11.8% of total)

ival-add: 1.0ms (11.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series40.0ms (0.7%)

Memory

-33.3MiB live, 10.8MiB allocated; 10ms collecting garbage

Counts

5 → 47

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
33.0ms	x	@	0	((+ 1 (/ (* x y) 2)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (* x y) 2) (* x y))
1.0ms	x	@	inf	((+ 1 (/ (* x y) 2)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (* x y) 2) (* x y))
1.0ms	y	@	0	((+ 1 (/ (* x y) 2)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (* x y) 2) (* x y))
1.0ms	y	@	inf	((+ 1 (/ (* x y) 2)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (* x y) 2) (* x y))
1.0ms	y	@	-inf	((+ 1 (/ (* x y) 2)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (* x y) 2) (* x y))

simplify251.0ms (4.3%)

Memory

-5.2MiB live, 288.5MiB allocated; 27ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	709
1	711	686
2	2133	661
0	8530	634

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 45

Calls

Call 1

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

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

rewrite267.0ms (4.6%)

Memory

14.0MiB live, 262.3MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
0	14	35
1	54	35
2	351	35
3	4826	35
0	8473	32

Stop Event

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

Counts

5 → 197

Calls

Call 1

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

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

eval65.0ms (1.1%)

Memory: -16.3MiB live, 77.1MiB allocated; 5ms collecting garbage
Compiler: Compiled 6 750 to 995 computations (85.3% saved)

prune9.0ms (0.1%)

Memory

28.9MiB live, 28.9MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	223	10	233
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	224	10	234

Accuracy

100.0%

Counts

234 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	88.3%	(-.f64 x (fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64) (.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (.f64 y x) #s(literal -2 binary64)))))
▶	99.9%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
	99.8%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (.f64 (neg.f64 y) (-.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))))))
▶	99.5%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))))))
▶	61.0%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) y)))
	54.5%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)))
▶	59.8%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
	65.0%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (-.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y x))
	79.3%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
▶	29.6%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Compiler

Compiled 402 to 284 computations (29.4% saved)

simplify121.0ms (2.1%)

Memory

-18.5MiB live, 79.2MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) x)))))
cost-diff	0	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))))))
cost-diff	1	(-.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))
cost-diff	3	(.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) x)))
cost-diff	0	(.f64 (.f64 y y) x)
cost-diff	0	(fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) y)
cost-diff	0	#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) y))
cost-diff	0	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) y)))
cost-diff	0	(/.f64 #s(literal 2 binary64) x)
cost-diff	0	#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
cost-diff	0	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
cost-diff	0	#s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
cost-diff	0	(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))
cost-diff	0	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	257
0	54	241
1	79	241
2	149	241
3	354	241
4	659	241
5	780	241
6	821	241
7	866	230
8	1044	230
9	1257	230
10	1384	230
11	1500	230
12	1562	230
13	1683	230
14	1743	230
15	1769	230
16	1787	230
17	1812	230
18	1875	230
19	1982	230
20	2197	230
21	2201	230
22	2201	230
23	2353	230
24	2550	230
0	2550	229

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize198.0ms (3.4%)

Memory

15.7MiB live, 193.9MiB allocated; 53ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (+ 1 (/ (* x y) 2)) (.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))))
accuracy	0.009070031620653759	(-.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))
accuracy	0.3125	(.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) x)))
accuracy	6.6714409110156865	(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) x)))))
accuracy	0.0	(*.f64 y y)
accuracy	0.20206626037384656	(fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) y)
accuracy	6.191515394972254	(.f64 (.f64 y y) x)
accuracy	32.11668526144572	#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) y))
accuracy	0.0	(/.f64 #s(literal 2 binary64) x)
accuracy	0.0	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
accuracy	31.78959204396416	#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
accuracy	0.0	(neg.f64 y)
accuracy	45.07851833623564	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
accuracy	0.0	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	0.0	#s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
accuracy	6.6714409110156865	(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))

Samples

98.0ms

256×

valid

Compiler

Compiled 178 to 27 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 27.0ms (45.2% of total)

ival-neg: 19.0ms (31.8% of total)

ival-div: 7.0ms (11.7% of total)

ival-add: 3.0ms (5% of total)

ival-sub: 3.0ms (5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series45.0ms (0.8%)

Memory

-20.1MiB live, 26.6MiB allocated; 6ms collecting garbage

Counts

20 → 58

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
33.0ms	y	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (+ (* (* 1/2 x) y) 1) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y y) x) -1/2) y) (* (* y y) x) (* (neg x) (- (* -1/2 y) (/ 1 x))) (- (* -1/2 y) (/ 1 x)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (* 1/2 x) (* y y) (+ 1 (/ (* x y) 2)))
3.0ms	x	@	0	((- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (+ (* (* 1/2 x) y) 1) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y y) x) -1/2) y) (* (* y y) x) (* (neg x) (- (* -1/2 y) (/ 1 x))) (- (* -1/2 y) (/ 1 x)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (* 1/2 x) (* y y) (+ 1 (/ (* x y) 2)))
2.0ms	x	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (+ (* (* 1/2 x) y) 1) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y y) x) -1/2) y) (* (* y y) x) (* (neg x) (- (* -1/2 y) (/ 1 x))) (- (* -1/2 y) (/ 1 x)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (* 1/2 x) (* y y) (+ 1 (/ (* x y) 2)))
2.0ms	x	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (+ (* (* 1/2 x) y) 1) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y y) x) -1/2) y) (* (* y y) x) (* (neg x) (- (* -1/2 y) (/ 1 x))) (- (* -1/2 y) (/ 1 x)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (* 1/2 x) (* y y) (+ 1 (/ (* x y) 2)))
2.0ms	y	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (+ (* (* 1/2 x) y) 1) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y y) x) -1/2) y) (* (* y y) x) (* (neg x) (- (* -1/2 y) (/ 1 x))) (- (* -1/2 y) (/ 1 x)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (* 1/2 x) (* y y) (+ 1 (/ (* x y) 2)))

simplify239.0ms (4.1%)

Memory

1.7MiB live, 188.7MiB allocated; 44ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	247	784
1	768	761
2	2333	730
0	8579	696

Stop Event

1×	iter limit
1×	node limit

Counts

58 → 56

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)))
(/ 2 x)
(* x (pow y 2))
(/ -1 x)
(/ (- (* -1/2 (* x y)) 1) x)
(* 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))))))
(/ (- 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)))
(* -1/2 (* x (pow y 2)))
(* x (+ (* -1/2 (pow y 2)) (/ y x)))
(* -1/2 y)
(- (* -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 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(+ 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)))))
(pow y 2)
(- 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)))
(* (pow y 2) (+ (* -1/2 x) (/ 1 y)))
(* -1 (* y (+ 1/2 (/ 1 (* x 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))))

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

rewrite204.0ms (3.5%)

Memory

11.2MiB live, 237.8MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	235
0	54	235
1	194	235
2	1353	235
0	8327	224

Stop Event

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

Counts

20 → 237

Calls

Call 1

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

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

eval46.0ms (0.8%)

Memory: 17.8MiB live, 114.6MiB allocated; 19ms collecting garbage
Compiler: Compiled 16 105 to 1 391 computations (91.4% saved)

prune10.0ms (0.2%)

Memory

-13.6MiB live, 32.8MiB allocated; 3ms collecting garbage

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	277	2	279
Fresh	1	4	5
Picked	2	3	5
Done	0	0	0
Total	280	9	289

Accuracy

100.0%

Counts

289 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	88.3%	(-.f64 x (fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64) (.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (.f64 y x) #s(literal -2 binary64)))))
✓	99.9%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
▶	99.8%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (.f64 (neg.f64 y) (-.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))))))
▶	99.5%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) y (/.f64 #s(literal -1 binary64) x))))))
▶	65.0%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y x) y) #s(literal -1/2 binary64) y)))
▶	54.5%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)))
✓	59.8%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
▶	79.3%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
✓	29.6%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Compiler

Compiled 309 to 213 computations (31.1% saved)

simplify294.0ms (5.1%)

Memory

-5.0MiB live, 198.6MiB allocated; 41ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ 1 (/ (* x y) 2)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) y (/.f64 #s(literal -1 binary64) x))))
cost-diff	0	(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) y (/.f64 #s(literal -1 binary64) x)))))
cost-diff	0	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) y (/.f64 #s(literal -1 binary64) x))))))
cost-diff	3	(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) y (/.f64 #s(literal -1 binary64) x)))
cost-diff	0	(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x)))
cost-diff	0	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)
cost-diff	0	#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x))
cost-diff	0	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)))
cost-diff	0	(.f64 (.f64 y x) y)
cost-diff	0	(fma.f64 (.f64 (.f64 y x) y) #s(literal -1/2 binary64) y)
cost-diff	0	#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y x) y) #s(literal -1/2 binary64) y))
cost-diff	0	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y x) y) #s(literal -1/2 binary64) y)))
cost-diff	0	(-.f64 x y)
cost-diff	0	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
cost-diff	0	(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (.f64 (neg.f64 y) (-.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))))
cost-diff	0	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (.f64 (neg.f64 y) (-.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))))))
cost-diff	1	(-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))
cost-diff	3	(.f64 (neg.f64 y) (-.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	315
0	63	319
1	96	319
2	177	319
3	330	319
4	855	319
5	1858	319
6	2774	319
7	3609	319
8	3911	311
9	4071	295
10	4144	295
11	4209	295
12	4260	295
13	4486	295
14	4738	295
15	4954	295
16	5138	295
17	5306	295
18	5618	295
19	5846	295
20	6030	295
21	6078	295
22	6092	295
23	6614	295
24	7948	295
25	7964	295
0	8008	275

Stop Event

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

Calls

Call 1

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

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

localize88.0ms (1.5%)

Memory

43.4MiB live, 229.2MiB allocated; 15ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (+ 1 (/ (* x y) 2)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) y (/.f64 #s(literal -1 binary64) x))))
accuracy	0.009070031620653759	(fma.f64 #s(literal -1/2 binary64) y (/.f64 #s(literal -1 binary64) x))
accuracy	0.3125	(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) y (/.f64 #s(literal -1 binary64) x)))
accuracy	6.6714409110156865	(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) y (/.f64 #s(literal -1 binary64) x)))))
accuracy	0.00390625	(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x)))
accuracy	0.0625	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)
accuracy	0.562018650115417	(/.f64 #s(literal 4 binary64) (*.f64 y x))
accuracy	32.24976026649105	#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x))
accuracy	0.0	(*.f64 y x)
accuracy	0.14453125	(.f64 (.f64 y x) y)
accuracy	0.20206626037384656	(fma.f64 (.f64 (.f64 y x) y) #s(literal -1/2 binary64) y)
accuracy	32.11668526144572	#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y x) y) #s(literal -1/2 binary64) y))
accuracy	0.0	(-.f64 x y)
accuracy	13.252474909427741	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
accuracy	0.0	#s(approx (+ 1 (/ (* x y) 2)) (.f64 (neg.f64 y) (-.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))))
accuracy	0.015625	(-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))
accuracy	0.12109375	(.f64 (neg.f64 y) (-.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
accuracy	6.6714409110156865	(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (.f64 (neg.f64 y) (-.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))))

Samples

57.0ms

256×

valid

Compiler

Compiled 215 to 32 computations (85.1% saved)

Precisions

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

ival-mult: 16.0ms (42.6% of total)

ival-div: 10.0ms (26.6% of total)

ival-sub: 5.0ms (13.3% of total)

ival-add: 4.0ms (10.7% of total)

ival-neg: 2.0ms (5.3% of total)

exact: 1.0ms (2.7% of total)

adjust: 0.0ms (0% of total)

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

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

series23.0ms (0.4%)

Memory

-23.3MiB live, 68.4MiB allocated; 7ms collecting garbage

Counts

22 → 76

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	((* (neg y) (- (* -1/2 x) (/ 1 y))) (- (* -1/2 x) (/ 1 y)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (- x (/ y (+ 1 (/ (* x y) 2)))) (- x y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y x) y) -1/2) y) (* (* y x) y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (- 2 (/ 4 (* y x))) x) (- 2 (/ 4 (* y x))) (* (neg x) (+ (* -1/2 y) (/ -1 x))) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (+ 1 (/ (* x y) 2)) (* y x) (/ 4 (* y x)) (+ (* -1/2 y) (/ -1 x)))
4.0ms	y	@	0	((* (neg y) (- (* -1/2 x) (/ 1 y))) (- (* -1/2 x) (/ 1 y)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (- x (/ y (+ 1 (/ (* x y) 2)))) (- x y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y x) y) -1/2) y) (* (* y x) y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (- 2 (/ 4 (* y x))) x) (- 2 (/ 4 (* y x))) (* (neg x) (+ (* -1/2 y) (/ -1 x))) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (+ 1 (/ (* x y) 2)) (* y x) (/ 4 (* y x)) (+ (* -1/2 y) (/ -1 x)))
3.0ms	x	@	0	((* (neg y) (- (* -1/2 x) (/ 1 y))) (- (* -1/2 x) (/ 1 y)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (- x (/ y (+ 1 (/ (* x y) 2)))) (- x y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y x) y) -1/2) y) (* (* y x) y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (- 2 (/ 4 (* y x))) x) (- 2 (/ 4 (* y x))) (* (neg x) (+ (* -1/2 y) (/ -1 x))) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (+ 1 (/ (* x y) 2)) (* y x) (/ 4 (* y x)) (+ (* -1/2 y) (/ -1 x)))
3.0ms	x	@	-inf	((* (neg y) (- (* -1/2 x) (/ 1 y))) (- (* -1/2 x) (/ 1 y)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (- x (/ y (+ 1 (/ (* x y) 2)))) (- x y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y x) y) -1/2) y) (* (* y x) y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (- 2 (/ 4 (* y x))) x) (- 2 (/ 4 (* y x))) (* (neg x) (+ (* -1/2 y) (/ -1 x))) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (+ 1 (/ (* x y) 2)) (* y x) (/ 4 (* y x)) (+ (* -1/2 y) (/ -1 x)))
2.0ms	y	@	-inf	((* (neg y) (- (* -1/2 x) (/ 1 y))) (- (* -1/2 x) (/ 1 y)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (- x (/ y (+ 1 (/ (* x y) 2)))) (- x y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y x) y) -1/2) y) (* (* y x) y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (- 2 (/ 4 (* y x))) x) (- 2 (/ 4 (* y x))) (* (neg x) (+ (* -1/2 y) (/ -1 x))) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (+ 1 (/ (* x y) 2)) (* y x) (/ 4 (* y x)) (+ (* -1/2 y) (/ -1 x)))

simplify208.0ms (3.6%)

Memory

43.3MiB live, 313.7MiB allocated; 56ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	278	921
1	861	883
2	2625	849
0	8863	813

Stop Event

1×	iter limit
1×	node limit

Counts

76 → 74

Calls

Call 1

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

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

rewrite310.0ms (5.4%)

Memory

-1.9MiB live, 290.6MiB allocated; 129ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	282
0	63	282
1	241	278
2	1687	278
0	8920	263

Stop Event

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

Counts

22 → 278

Calls

Call 1

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

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

eval69.0ms (1.2%)

Memory: -16.2MiB live, 130.7MiB allocated; 24ms collecting garbage
Compiler: Compiled 17 293 to 1 771 computations (89.8% saved)

prune10.0ms (0.2%)

Memory

-18.5MiB live, 26.7MiB allocated; 4ms collecting garbage

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	337	1	338
Fresh	0	1	1
Picked	1	4	5
Done	0	3	3
Total	338	9	347

Accuracy

100.0%

Counts

347 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.3%	(-.f64 x (fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64) (.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (.f64 y x) #s(literal -2 binary64)))))
✓	99.9%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
▶	99.8%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (.f64 (neg.f64 y) #s(approx (- ( -1/2 x) (/ 1 y)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal -1 binary64) y)))))))
✓	99.5%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) y (/.f64 #s(literal -1 binary64) x))))))
✓	65.0%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y x) y) #s(literal -1/2 binary64) y)))
✓	54.5%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)))
✓	59.8%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	79.3%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
✓	29.6%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Compiler

Compiled 185 to 129 computations (30.3% saved)

simplify147.0ms (2.5%)

Memory

33.0MiB live, 274.2MiB allocated; 34ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))))
cost-diff	1	(.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 y x) #s(literal -2 binary64)))
cost-diff	1	(-.f64 x (fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64) (.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (.f64 y x) #s(literal -2 binary64)))))
cost-diff	11	(fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64) (.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (.f64 y x) #s(literal -2 binary64))))
cost-diff	0	(.f64 (neg.f64 y) #s(approx (- ( -1/2 x) (/ 1 y)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal -1 binary64) y))))
cost-diff	0	#s(approx (+ 1 (/ (* x y) 2)) (.f64 (neg.f64 y) #s(approx (- ( -1/2 x) (/ 1 y)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal -1 binary64) y)))))
cost-diff	0	(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (.f64 (neg.f64 y) #s(approx (- ( -1/2 x) (/ 1 y)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal -1 binary64) y))))))
cost-diff	0	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (.f64 (neg.f64 y) #s(approx (- ( -1/2 x) (/ 1 y)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal -1 binary64) y)))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	251
0	46	229
1	83	229
2	212	229
3	736	229
4	2093	229
5	3936	229
6	5808	229
0	8119	222

Stop Event

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

Calls

Call 1

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

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

localize94.0ms (1.6%)

Memory

-21.3MiB live, 172.4MiB allocated; 46ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64) (.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (.f64 y x) #s(literal -2 binary64))))
accuracy	0.203125	(pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))
accuracy	2.482922487831076	(/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))))
accuracy	17.330105878392697	(.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 y x) #s(literal -2 binary64)))
accuracy	0.0	#s(approx (+ 1 (/ (* x y) 2)) (.f64 (neg.f64 y) #s(approx (- ( -1/2 x) (/ 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	0.12109375	(.f64 (neg.f64 y) #s(approx (- ( -1/2 x) (/ 1 y)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal -1 binary64) y))))
accuracy	6.6714409110156865	(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (.f64 (neg.f64 y) #s(approx (- ( -1/2 x) (/ 1 y)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal -1 binary64) y))))))

Samples

50.0ms

256×

valid

Compiler

Compiled 188 to 31 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-div: 12.0ms (35.4% of total)

ival-mult: 9.0ms (26.5% of total)

ival-sub: 4.0ms (11.8% of total)

ival-add: 3.0ms (8.8% of total)

ival-pow2: 3.0ms (8.8% of total)

exact: 1.0ms (2.9% of total)

ival-neg: 1.0ms (2.9% of total)

adjust: 0.0ms (0% of total)

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

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

series20.0ms (0.3%)

Memory

-5.1MiB live, 43.0MiB allocated; 6ms collecting garbage

Counts

10 → 90

Calls

Call 1

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

Outputs
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
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)))
(+ y (* x (+ (* -1/2 (pow y 2)) (* 1/4 (* x (pow y 3))))))
(+ y (* x (+ (* -1/2 (pow y 2)) (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))))))
(- (* x (- 1 (* -1/2 (pow y 2)))) y)
(- (* x (- (+ 1 (* -1/4 (* x (pow y 3)))) (* -1/2 (pow y 2)))) y)
(- (* x (- (+ 1 (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))) (* -1/2 (pow y 2)))) y)
(* -1/2 (* x (pow y 2)))
(* x (+ (* -1/2 (pow y 2)) (* -1/8 (* (pow x 2) (pow y 4)))))
(* x (+ (* -1/2 (pow y 2)) (* (pow x 2) (+ (* -1/8 (pow y 4)) (* -1/32 (* (pow x 2) (pow y 6)))))))
(* x (+ (* -1/2 (pow y 2)) (* (pow x 2) (+ (* -1/8 (pow y 4)) (* (pow x 2) (+ (* -1/32 (pow y 6)) (* -1/128 (* (pow x 2) (pow y 8)))))))))
(+ y (* 1/4 (* (pow x 2) (pow y 3))))
(+ y (* (pow x 2) (- (* 1/16 (* (pow x 2) (pow y 5))) (* -1/4 (pow y 3)))))
(+ y (* (pow x 2) (- (* (pow x 2) (- (* 1/64 (* (pow x 2) (pow y 7))) (* -1/16 (pow y 5)))) (* -1/4 (pow y 3)))))
(/ -1 y)
(- (* -1/2 x) (/ 1 y))
(* 1/4 (* (pow x 2) (pow y 2)))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(/ 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 y))
(* x (+ (* 1/2 y) (/ 1 x)))
(/ (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) x)
(/ (+ 2 (+ (/ 8 (* (pow x 2) (pow y 2))) (/ 32 (* (pow x 4) (pow y 4))))) x)
(/ (+ 2 (+ (* 32 (/ 1 (* (pow x 4) (pow y 4)))) (+ (* 128 (/ 1 (* (pow x 6) (pow y 6)))) (/ 8 (* (pow x 2) (pow y 2)))))) x)
(/ -4 (* (pow x 2) y))
(* -1 (/ (+ (* 4 (/ 1 y)) (* 16 (/ 1 (* (pow x 2) (pow y 3))))) (pow x 2)))
(/ (- (* -1 (/ (+ (* 16 (/ 1 (pow y 3))) (* 64 (/ 1 (* (pow x 2) (pow y 5))))) (pow x 2))) (* 4 (/ 1 y))) (pow x 2))
(/ (- (* -1 (/ (+ (* 64 (/ 1 (pow y 5))) (* 256 (/ 1 (* (pow x 2) (pow y 7))))) (pow x 4))) (+ (* 4 (/ 1 y)) (/ 16 (* (pow x 2) (pow y 3))))) (pow x 2))
(* -1/2 x)
(* -1 (* x (+ 1/2 (/ 1 (* x y)))))
(* -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 (/ (- (* -1 (/ (+ (* 8 (/ 1 (pow y 2))) (* 32 (/ 1 (* (pow x 2) (pow y 4))))) (pow x 2))) 2) x))
(* -1 (/ (- (* -1 (/ (+ (* 32 (/ 1 (pow y 4))) (* 128 (/ 1 (* (pow x 2) (pow y 6))))) (pow x 4))) (+ 2 (/ 8 (* (pow x 2) (pow y 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 (* y (+ (* -1/2 x) (* 1/4 (* (pow x 2) y))))))
(* y (+ 1 (* y (+ (* -1/2 x) (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2))))))))
(+ x (* y (- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)))
(* (pow y 2) (+ (* -1/2 x) (* -1/8 (* (pow x 3) (pow y 2)))))
(* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/8 (pow x 3)) (* -1/32 (* (pow x 5) (pow y 2)))))))
(* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/8 (pow x 3)) (* (pow y 2) (+ (* -1/32 (pow x 5)) (* -1/128 (* (pow x 7) (pow y 2)))))))))
(* y (+ 1 (* 1/4 (* (pow x 2) (pow y 2)))))
(* y (+ 1 (* (pow y 2) (- (* 1/16 (* (pow x 4) (pow y 2))) (* -1/4 (pow x 2))))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (- (* 1/64 (* (pow x 6) (pow y 2))) (* -1/16 (pow x 4)))) (* -1/4 (pow x 2))))))
(/ (- (* -1/2 (* x y)) 1) y)
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(* y (+ (* 1/2 x) (/ 1 y)))
(+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))
(+ (* 2 (/ 1 x)) (+ (/ 8 (* (pow x 3) (pow y 2))) (/ 32 (* (pow x 5) (pow y 4)))))
(+ (* 2 (/ 1 x)) (+ (* 32 (/ 1 (* (pow x 5) (pow y 4)))) (+ (* 128 (/ 1 (* (pow x 7) (pow y 6)))) (/ 8 (* (pow x 3) (pow y 2))))))
(* -1 (/ (+ (* 16 (/ 1 (* (pow x 4) (pow y 2)))) (* 4 (/ 1 (pow x 2)))) y))
(/ (- (* -1 (/ (+ (* 16 (/ 1 (pow x 4))) (* 64 (/ 1 (* (pow x 6) (pow y 2))))) (pow y 2))) (* 4 (/ 1 (pow x 2)))) y)
(/ (- (* -1 (/ (+ (* 64 (/ 1 (pow x 6))) (* 256 (/ 1 (* (pow x 8) (pow y 2))))) (pow y 4))) (+ (* 4 (/ 1 (pow x 2))) (/ 16 (* (pow x 4) (pow y 2))))) y)
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+ (* -1 (/ (- (* 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 (/ (+ (* 4 (/ 1 (pow x 2))) (+ (/ 16 (* (pow x 4) (pow y 2))) (/ 64 (* (pow x 6) (pow y 4))))) y))
(* -1 (/ (+ (* 64 (/ 1 (* (pow x 6) (pow y 4)))) (+ (* 256 (/ 1 (* (pow x 8) (pow y 6)))) (+ (* 4 (/ 1 (pow x 2))) (/ 16 (* (pow x 4) (pow y 2)))))) y))

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	y	@	0	((- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* (neg y) (- (* -1/2 x) (/ 1 y))) (+ (* (/ y (- 1 (pow (/ (* y x) 2) 2))) 1) (* (/ y (- 1 (pow (/ (* y x) 2) 2))) (/ (* y x) -2))) (- x (+ (* (/ y (- 1 (pow (/ (* y x) 2) 2))) 1) (* (/ y (- 1 (pow (/ (* y x) 2) 2))) (/ (* y x) -2)))) (* (/ y (- 1 (pow (/ (* y x) 2) 2))) (/ (* y x) -2)) (/ y (- 1 (pow (/ (* y x) 2) 2))) (+ (* -1/2 x) (/ -1 y)) (pow (/ (* y x) 2) 2))
3.0ms	y	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* (neg y) (- (* -1/2 x) (/ 1 y))) (+ (* (/ y (- 1 (pow (/ (* y x) 2) 2))) 1) (* (/ y (- 1 (pow (/ (* y x) 2) 2))) (/ (* y x) -2))) (- x (+ (* (/ y (- 1 (pow (/ (* y x) 2) 2))) 1) (* (/ y (- 1 (pow (/ (* y x) 2) 2))) (/ (* y x) -2)))) (* (/ y (- 1 (pow (/ (* y x) 2) 2))) (/ (* y x) -2)) (/ y (- 1 (pow (/ (* y x) 2) 2))) (+ (* -1/2 x) (/ -1 y)) (pow (/ (* y x) 2) 2))
3.0ms	x	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* (neg y) (- (* -1/2 x) (/ 1 y))) (+ (* (/ y (- 1 (pow (/ (* y x) 2) 2))) 1) (* (/ y (- 1 (pow (/ (* y x) 2) 2))) (/ (* y x) -2))) (- x (+ (* (/ y (- 1 (pow (/ (* y x) 2) 2))) 1) (* (/ y (- 1 (pow (/ (* y x) 2) 2))) (/ (* y x) -2)))) (* (/ y (- 1 (pow (/ (* y x) 2) 2))) (/ (* y x) -2)) (/ y (- 1 (pow (/ (* y x) 2) 2))) (+ (* -1/2 x) (/ -1 y)) (pow (/ (* y x) 2) 2))
2.0ms	x	@	0	((- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* (neg y) (- (* -1/2 x) (/ 1 y))) (+ (* (/ y (- 1 (pow (/ (* y x) 2) 2))) 1) (* (/ y (- 1 (pow (/ (* y x) 2) 2))) (/ (* y x) -2))) (- x (+ (* (/ y (- 1 (pow (/ (* y x) 2) 2))) 1) (* (/ y (- 1 (pow (/ (* y x) 2) 2))) (/ (* y x) -2)))) (* (/ y (- 1 (pow (/ (* y x) 2) 2))) (/ (* y x) -2)) (/ y (- 1 (pow (/ (* y x) 2) 2))) (+ (* -1/2 x) (/ -1 y)) (pow (/ (* y x) 2) 2))
2.0ms	x	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* (neg y) (- (* -1/2 x) (/ 1 y))) (+ (* (/ y (- 1 (pow (/ (* y x) 2) 2))) 1) (* (/ y (- 1 (pow (/ (* y x) 2) 2))) (/ (* y x) -2))) (- x (+ (* (/ y (- 1 (pow (/ (* y x) 2) 2))) 1) (* (/ y (- 1 (pow (/ (* y x) 2) 2))) (/ (* y x) -2)))) (* (/ y (- 1 (pow (/ (* y x) 2) 2))) (/ (* y x) -2)) (/ y (- 1 (pow (/ (* y x) 2) 2))) (+ (* -1/2 x) (/ -1 y)) (pow (/ (* y x) 2) 2))

simplify168.0ms (2.9%)

Memory

20.7MiB live, 249.5MiB allocated; 22ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	472	1638
1	1484	1613
2	4924	1607
0	8253	1541

Stop Event

1×	iter limit
1×	node limit

Counts

90 → 88

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)))
(+ y (* x (+ (* -1/2 (pow y 2)) (* 1/4 (* x (pow y 3))))))
(+ y (* x (+ (* -1/2 (pow y 2)) (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))))))
(- (* x (- 1 (* -1/2 (pow y 2)))) y)
(- (* x (- (+ 1 (* -1/4 (* x (pow y 3)))) (* -1/2 (pow y 2)))) y)
(- (* x (- (+ 1 (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))) (* -1/2 (pow y 2)))) y)
(* -1/2 (* x (pow y 2)))
(* x (+ (* -1/2 (pow y 2)) (* -1/8 (* (pow x 2) (pow y 4)))))
(* x (+ (* -1/2 (pow y 2)) (* (pow x 2) (+ (* -1/8 (pow y 4)) (* -1/32 (* (pow x 2) (pow y 6)))))))
(* x (+ (* -1/2 (pow y 2)) (* (pow x 2) (+ (* -1/8 (pow y 4)) (* (pow x 2) (+ (* -1/32 (pow y 6)) (* -1/128 (* (pow x 2) (pow y 8)))))))))
(+ y (* 1/4 (* (pow x 2) (pow y 3))))
(+ y (* (pow x 2) (- (* 1/16 (* (pow x 2) (pow y 5))) (* -1/4 (pow y 3)))))
(+ y (* (pow x 2) (- (* (pow x 2) (- (* 1/64 (* (pow x 2) (pow y 7))) (* -1/16 (pow y 5)))) (* -1/4 (pow y 3)))))
(/ -1 y)
(- (* -1/2 x) (/ 1 y))
(* 1/4 (* (pow x 2) (pow y 2)))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(/ 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 y))
(* x (+ (* 1/2 y) (/ 1 x)))
(/ (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) x)
(/ (+ 2 (+ (/ 8 (* (pow x 2) (pow y 2))) (/ 32 (* (pow x 4) (pow y 4))))) x)
(/ (+ 2 (+ (* 32 (/ 1 (* (pow x 4) (pow y 4)))) (+ (* 128 (/ 1 (* (pow x 6) (pow y 6)))) (/ 8 (* (pow x 2) (pow y 2)))))) x)
(/ -4 (* (pow x 2) y))
(* -1 (/ (+ (* 4 (/ 1 y)) (* 16 (/ 1 (* (pow x 2) (pow y 3))))) (pow x 2)))
(/ (- (* -1 (/ (+ (* 16 (/ 1 (pow y 3))) (* 64 (/ 1 (* (pow x 2) (pow y 5))))) (pow x 2))) (* 4 (/ 1 y))) (pow x 2))
(/ (- (* -1 (/ (+ (* 64 (/ 1 (pow y 5))) (* 256 (/ 1 (* (pow x 2) (pow y 7))))) (pow x 4))) (+ (* 4 (/ 1 y)) (/ 16 (* (pow x 2) (pow y 3))))) (pow x 2))
(* -1/2 x)
(* -1 (* x (+ 1/2 (/ 1 (* x y)))))
(* -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 (/ (- (* -1 (/ (+ (* 8 (/ 1 (pow y 2))) (* 32 (/ 1 (* (pow x 2) (pow y 4))))) (pow x 2))) 2) x))
(* -1 (/ (- (* -1 (/ (+ (* 32 (/ 1 (pow y 4))) (* 128 (/ 1 (* (pow x 2) (pow y 6))))) (pow x 4))) (+ 2 (/ 8 (* (pow x 2) (pow y 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 (* y (+ (* -1/2 x) (* 1/4 (* (pow x 2) y))))))
(* y (+ 1 (* y (+ (* -1/2 x) (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2))))))))
(+ x (* y (- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)))
(* (pow y 2) (+ (* -1/2 x) (* -1/8 (* (pow x 3) (pow y 2)))))
(* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/8 (pow x 3)) (* -1/32 (* (pow x 5) (pow y 2)))))))
(* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/8 (pow x 3)) (* (pow y 2) (+ (* -1/32 (pow x 5)) (* -1/128 (* (pow x 7) (pow y 2)))))))))
(* y (+ 1 (* 1/4 (* (pow x 2) (pow y 2)))))
(* y (+ 1 (* (pow y 2) (- (* 1/16 (* (pow x 4) (pow y 2))) (* -1/4 (pow x 2))))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (- (* 1/64 (* (pow x 6) (pow y 2))) (* -1/16 (pow x 4)))) (* -1/4 (pow x 2))))))
(/ (- (* -1/2 (* x y)) 1) y)
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(* y (+ (* 1/2 x) (/ 1 y)))
(+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))
(+ (* 2 (/ 1 x)) (+ (/ 8 (* (pow x 3) (pow y 2))) (/ 32 (* (pow x 5) (pow y 4)))))
(+ (* 2 (/ 1 x)) (+ (* 32 (/ 1 (* (pow x 5) (pow y 4)))) (+ (* 128 (/ 1 (* (pow x 7) (pow y 6)))) (/ 8 (* (pow x 3) (pow y 2))))))
(* -1 (/ (+ (* 16 (/ 1 (* (pow x 4) (pow y 2)))) (* 4 (/ 1 (pow x 2)))) y))
(/ (- (* -1 (/ (+ (* 16 (/ 1 (pow x 4))) (* 64 (/ 1 (* (pow x 6) (pow y 2))))) (pow y 2))) (* 4 (/ 1 (pow x 2)))) y)
(/ (- (* -1 (/ (+ (* 64 (/ 1 (pow x 6))) (* 256 (/ 1 (* (pow x 8) (pow y 2))))) (pow y 4))) (+ (* 4 (/ 1 (pow x 2))) (/ 16 (* (pow x 4) (pow y 2))))) y)
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+ (* -1 (/ (- (* 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 (/ (+ (* 4 (/ 1 (pow x 2))) (+ (/ 16 (* (pow x 4) (pow y 2))) (/ 64 (* (pow x 6) (pow y 4))))) y))
(* -1 (/ (+ (* 64 (/ 1 (* (pow x 6) (pow y 4)))) (+ (* 256 (/ 1 (* (pow x 8) (pow y 6)))) (+ (* 4 (/ 1 (pow x 2))) (/ 16 (* (pow x 4) (pow y 2)))))) y))

Outputs
(* -1 y)
(neg.f64 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(-.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -1/4 binary64) (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x (neg.f64 y))
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/8 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64))) x (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x (neg.f64 y))
y
(+ y (* -1/2 (* x (pow y 2))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) x #s(literal 1 binary64)) y)
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) x)) y #s(literal 1 binary64)) y)
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) x))) x (.f64 (.f64 y y) #s(literal -1/2 binary64))) x y)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))
(+ y (* x (+ (* -1/2 (pow y 2)) (* 1/4 (* x (pow y 3))))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) x)) y #s(literal 1 binary64)) y)
(+ y (* x (+ (* -1/2 (pow y 2)) (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))))))
(fma.f64 (fma.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 (.f64 (.f64 y y) #s(literal -1/2 binary64))) x y)
(- (* x (- 1 (* -1/2 (pow y 2)))) y)
(-.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y)
(- (* x (- (+ 1 (* -1/4 (* x (pow y 3)))) (* -1/2 (pow y 2)))) y)
(fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -1/4 binary64) (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x (neg.f64 y))
(- (* x (- (+ 1 (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))) (* -1/2 (pow y 2)))) 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))
(* -1/2 (* x (pow y 2)))
(.f64 (.f64 (*.f64 #s(literal -1/2 binary64) y) x) y)
(* x (+ (* -1/2 (pow y 2)) (* -1/8 (* (pow x 2) (pow y 4)))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) y) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) x)) y) y)
(* x (+ (* -1/2 (pow y 2)) (* (pow x 2) (+ (* -1/8 (pow y 4)) (* -1/32 (* (pow x 2) (pow y 6)))))))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) x) y (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/32 binary64)) x) x (.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))))))
(* x (+ (* -1/2 (pow y 2)) (* (pow x 2) (+ (* -1/8 (pow y 4)) (* (pow x 2) (+ (* -1/32 (pow y 6)) (* -1/128 (* (pow x 2) (pow y 8)))))))))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) x) y (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal -1/128 binary64) (pow.f64 y #s(literal 8 binary64))) (.f64 x x) (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/32 binary64))) (.f64 x x) (.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))))))
(+ y (* 1/4 (* (pow x 2) (pow y 3))))
(fma.f64 (.f64 #s(literal 1/4 binary64) x) (.f64 (pow.f64 y #s(literal 3 binary64)) x) y)
(+ y (* (pow x 2) (- (* 1/16 (* (pow x 2) (pow y 5))) (* -1/4 (pow y 3)))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) (pow.f64 y #s(literal 5 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 x x) y)
(+ y (* (pow x 2) (- (* (pow x 2) (- (* 1/64 (* (pow x 2) (pow y 7))) (* -1/16 (pow y 5)))) (* -1/4 (pow y 3)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 7 binary64))) (.f64 x x) (.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/16 binary64))) (.f64 x x) (.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 x x) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(- (* -1/2 x) (/ 1 y))
(neg.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y)))
(* 1/4 (* (pow x 2) (pow y 2)))
(.f64 (.f64 (.f64 (.f64 y y) x) x) #s(literal 1/4 binary64))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) x)
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 y x)) #s(literal -2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x)
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 y x)) #s(literal -2 binary64)) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y y))) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x) #s(literal 2 binary64)) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/.f64 (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) x)
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 y x))
(* x (+ (* 1/2 y) (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))
(/ (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (*.f64 y y) x) x)) #s(literal 2 binary64)) x)
(/ (+ 2 (+ (/ 8 (* (pow x 2) (pow y 2))) (/ 32 (* (pow x 4) (pow y 4))))) x)
(/.f64 (-.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal -8 binary64) (.f64 (.f64 (*.f64 y y) x) x)) (/.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))) x)
(/ (+ 2 (+ (* 32 (/ 1 (* (pow x 4) (pow y 4)))) (+ (* 128 (/ 1 (* (pow x 6) (pow y 6)))) (/ 8 (* (pow x 2) (pow y 2)))))) x)
(/.f64 (+.f64 (+.f64 (-.f64 (/.f64 (/.f64 #s(literal 128 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -8 binary64) (.f64 (.f64 (*.f64 y y) x) x))) (/.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) x)
(/ -4 (* (pow x 2) y))
(/.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) y)
(* -1 (/ (+ (* 4 (/ 1 y)) (* 16 (/ 1 (* (pow x 2) (pow y 3))))) (pow x 2)))
(/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) x)) (/.f64 #s(literal -4 binary64) y)) (*.f64 (neg.f64 x) x))
(/ (- (* -1 (/ (+ (* 16 (/ 1 (pow y 3))) (* 64 (/ 1 (* (pow x 2) (pow y 5))))) (pow x 2))) (* 4 (/ 1 y))) (pow x 2))
(/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 64 binary64) (.f64 x x)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 x x)) #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) y)) (*.f64 x x))
(/ (- (* -1 (/ (+ (* 64 (/ 1 (pow y 5))) (* 256 (/ 1 (* (pow x 2) (pow y 7))))) (pow x 4))) (+ (* 4 (/ 1 y)) (/ 16 (* (pow x 2) (pow y 3))))) (pow x 2))
(/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 256 binary64) (pow.f64 y #s(literal 7 binary64))) (.f64 x x)) (/.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -16 binary64) (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) x))) (/.f64 #s(literal 4 binary64) y)) (.f64 x x))
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* -1 (* x (+ 1/2 (/ 1 (* x y)))))
(neg.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1 binary64)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(.f64 (neg.f64 x) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x))) x) #s(literal -1 binary64) #s(literal 2 binary64)) (.f64 x x)) #s(literal 1 binary64)))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) (neg.f64 x)) #s(literal 2 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 #s(literal 8 binary64) (*.f64 y y))) x) #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) y)) (neg.f64 x)) #s(literal 2 binary64)) (neg.f64 x))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(* -1 (/ (- (* -1 (/ (+ (* 8 (/ 1 (pow y 2))) (* 32 (/ 1 (* (pow x 2) (pow y 4))))) (pow x 2))) 2) x))
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 32 binary64) (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x)) (/.f64 #s(literal -8 binary64) (*.f64 y y))) x) (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) x))
(* -1 (/ (- (* -1 (/ (+ (* 32 (/ 1 (pow y 4))) (* 128 (/ 1 (* (pow x 2) (pow y 6))))) (pow x 4))) (+ 2 (/ 8 (* (pow x 2) (pow y 2))))) x))
(/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 128 binary64) (.f64 x x)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 32 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -8 binary64) (.f64 (.f64 (.f64 y y) x) x))) #s(literal 2 binary64)) (neg.f64 x))
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 (-.f64 (.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 (-.f64 (.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal -1/4 binary64) (.f64 #s(literal 1/2 binary64) x)) y) #s(literal 1 binary64)) y x)
(* y (+ 1 (* -1/2 (* x y))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) x #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) x)) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(.f64 (fma.f64 (fma.f64 (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 (*.f64 #s(literal -1/2 binary64) x)) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (+ (* -1/2 x) (* 1/4 (* (pow x 2) y))))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) x)) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (+ (* -1/2 x) (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2))))))))
(.f64 (fma.f64 (fma.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 (*.f64 #s(literal -1/2 binary64) x)) y #s(literal 1 binary64)) y)
(+ x (* y (- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)))
(fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal -1/4 binary64) (.f64 #s(literal 1/2 binary64) x)) y) #s(literal 1 binary64)) y x)
(* (pow y 2) (+ (* -1/2 x) (* -1/8 (* (pow x 3) (pow y 2)))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) y) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) x)) y) y)
(* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/8 (pow x 3)) (* -1/32 (* (pow x 5) (pow y 2)))))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/32 binary64)) y) y (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (.f64 y y) (.f64 #s(literal -1/2 binary64) x)) (*.f64 y y))
(* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/8 (pow x 3)) (* (pow y 2) (+ (* -1/32 (pow x 5)) (* -1/128 (* (pow x 7) (pow y 2)))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/128 binary64)) y) y (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/32 binary64))) (.f64 y y) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (.f64 y y) (.f64 #s(literal -1/2 binary64) x)) (*.f64 y y))
(* y (+ 1 (* 1/4 (* (pow x 2) (pow y 2)))))
(fma.f64 (.f64 #s(literal 1/4 binary64) x) (.f64 (pow.f64 y #s(literal 3 binary64)) x) y)
(* y (+ 1 (* (pow y 2) (- (* 1/16 (* (pow x 4) (pow y 2))) (* -1/4 (pow x 2))))))
(fma.f64 (fma.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64)) y) y (.f64 (.f64 x x) #s(literal 1/4 binary64))) (pow.f64 y #s(literal 3 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (- (* 1/64 (* (pow x 6) (pow y 2))) (* -1/16 (pow x 4)))) (* -1/4 (pow x 2))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (fma.f64 (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64)) y) y (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64))) (.f64 y y))) (pow.f64 y #s(literal 3 binary64)) y)
(/ (- (* -1/2 (* x y)) 1) y)
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) x) #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 x (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (.f64 y x))) x)) (/.f64 #s(literal 8 binary64) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y)))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 y x)) #s(literal 2 binary64)) x)) (/.f64 #s(literal 8 binary64) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y)))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x) #s(literal 2 binary64)) x)
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x) #s(literal 2 binary64)) x) (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))))
(* y (+ (* 1/2 x) (/ 1 y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))
(+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (*.f64 y y) x) x)) #s(literal 2 binary64)) x)
(+ (* 2 (/ 1 x)) (+ (/ 8 (* (pow x 3) (pow y 2))) (/ 32 (* (pow x 5) (pow y 4)))))
(+.f64 (+.f64 (/.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) y)))
(+ (* 2 (/ 1 x)) (+ (* 32 (/ 1 (* (pow x 5) (pow y 4)))) (+ (* 128 (/ 1 (* (pow x 7) (pow y 6)))) (/ 8 (* (pow x 3) (pow y 2))))))
(+.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) y))) (/.f64 (/.f64 #s(literal 128 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64))))
(* -1 (/ (+ (* 16 (/ 1 (* (pow x 4) (pow y 2)))) (* 4 (/ 1 (pow x 2)))) y))
(fma.f64 #s(literal -16 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) y))
(/ (- (* -1 (/ (+ (* 16 (/ 1 (pow x 4))) (* 64 (/ 1 (* (pow x 6) (pow y 2))))) (pow y 2))) (* 4 (/ 1 (pow x 2)))) y)
(/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 64 binary64) (.f64 y y)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 y y)) #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) y)
(/ (- (* -1 (/ (+ (* 64 (/ 1 (pow x 6))) (* 256 (/ 1 (* (pow x 8) (pow y 2))))) (pow y 4))) (+ (* 4 (/ 1 (pow x 2))) (/ 16 (* (pow x 4) (pow y 2))))) y)
(/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 256 binary64) (pow.f64 x #s(literal 8 binary64))) (.f64 y y)) (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) y)) y)) (/.f64 #s(literal 4 binary64) (*.f64 x x))) y)
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 y y) x)) (/.f64 #s(literal 4 binary64) y)) x) #s(literal 2 binary64)) x))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) y) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) y) #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) y)) (/.f64 #s(literal 2 binary64) x))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (/.f64 #s(literal 8 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y))) y) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) y)) y) #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x))) y) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(*.f64 (neg.f64 y) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) y))))
(* -1 (/ (+ (* 4 (/ 1 (pow x 2))) (+ (/ 16 (* (pow x 4) (pow y 2))) (/ 64 (* (pow x 6) (pow y 4))))) y))
(/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal -16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) y)) y)) (/.f64 #s(literal -4 binary64) (.f64 x x))) (neg.f64 y))
(* -1 (/ (+ (* 64 (/ 1 (* (pow x 6) (pow y 4)))) (+ (* 256 (/ 1 (* (pow x 8) (pow y 6)))) (+ (* 4 (/ 1 (pow x 2))) (/ 16 (* (pow x 4) (pow y 2)))))) y))
(/.f64 (+.f64 (-.f64 (/.f64 (/.f64 #s(literal 256 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal -4 binary64) (.f64 x x))) (-.f64 (/.f64 (/.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal -16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) y)) y))) (neg.f64 y))

rewrite293.0ms (5.1%)

Memory

-17.7MiB live, 318.2MiB allocated; 75ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	201
0	46	179
1	195	179
2	1551	179
0	8761	174

Stop Event

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

Counts

10 → 458

Calls

Call 1

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

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

eval205.0ms (3.6%)

Memory: 15.2MiB live, 256.9MiB allocated; 36ms collecting garbage
Compiler: Compiled 30 202 to 2 704 computations (91% saved)

prune17.0ms (0.3%)

Memory

-1.1MiB live, 44.9MiB allocated; 3ms collecting garbage

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	610	1	611
Fresh	0	0	0
Picked	1	1	2
Done	0	7	7
Total	611	9	620

Accuracy

100.0%

Counts

620 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.6%	(-.f64 x (/.f64 (fma.f64 (.f64 y y) (/.f64 x #s(literal -2 binary64)) y) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)))))
✓	99.9%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
✓	99.8%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (.f64 (neg.f64 y) #s(approx (- ( -1/2 x) (/ 1 y)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal -1 binary64) y)))))))
✓	99.5%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) y (/.f64 #s(literal -1 binary64) x))))))
✓	65.0%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y x) y) #s(literal -1/2 binary64) y)))
✓	54.5%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)))
✓	59.8%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	79.3%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
✓	29.6%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Compiler

Compiled 475 to 227 computations (52.2% saved)

regimes36.0ms (0.6%)

Memory

-26.5MiB live, 29.7MiB allocated; 3ms collecting garbage

Counts

15 → 1

Calls

Call 1

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

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

Calls

3 calls:

27.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
4.0ms	y
4.0ms	x

Results

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

Compiler

Compiled 13 to 13 computations (0% saved)

regimes7.0ms (0.1%)

Memory

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

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
83.4%	2	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
92.8%	3	`x`
90.0%	3	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes2.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated; 0ms collecting garbage

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
92.8%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes2.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated; 0ms collecting garbage

Counts

3 → 3

Calls

Call 1

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

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

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
92.5%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
79.3%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
79.3%	1	`y`
79.3%	1	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes3.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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
29.6%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
29.6%	1	`y`
29.6%	1	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch51.0ms (0.9%)

Memory

-10.6MiB live, 35.8MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.2077546917251412e-64	1.1746781010401005e-48
32.0ms	-602.8981560152517	-1.3235791473528944e-5

Samples

35.0ms

304×

valid

Compiler

Compiled 679 to 546 computations (19.6% saved)

Precisions

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

ival-div: 4.0ms (41.6% of total)

ival-mult: 2.0ms (20.8% of total)

ival-sub: 1.0ms (10.4% of total)

ival-add: 1.0ms (10.4% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch3.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.2077546917251412e-64	1.1746781010401005e-48
1.0ms	-602.8981560152517	-1.3235791473528944e-5

Compiler

Compiled 717 to 584 computations (18.5% saved)

bsearch2.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.2077546917251412e-64	1.1746781010401005e-48
1.0ms	-602.8981560152517	-1.3235791473528944e-5

Compiler

Compiled 584 to 489 computations (16.3% saved)

simplify29.0ms (0.5%)

Memory

-30.6MiB live, 14.2MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	176
1	67	176
2	89	176
3	111	176
4	152	176
5	228	176
6	241	176
7	244	176
8	250	176
9	258	176
10	262	176

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -17/2 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 x #s(literal 1979871083368875/210624583337114373395836055367340864637790190801098222508621955072 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y x) y) #s(literal -1/2 binary64) y))) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))))
(if (<=.f64 x #s(literal -17/2 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 x #s(literal 1979871083368875/210624583337114373395836055367340864637790190801098222508621955072 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (-.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y x)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))))
(if (<=.f64 x #s(literal -17/2 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 x #s(literal 1979871083368875/210624583337114373395836055367340864637790190801098222508621955072 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Outputs
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -17/2 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 x #s(literal 1979871083368875/210624583337114373395836055367340864637790190801098222508621955072 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y x) y) #s(literal -1/2 binary64) y))) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))))
(if (or (<=.f64 x #s(literal -17/2 binary64)) (not (<=.f64 x #s(literal 1979871083368875/210624583337114373395836055367340864637790190801098222508621955072 binary64)))) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y x) y) #s(literal -1/2 binary64) y))))
(if (<=.f64 x #s(literal -17/2 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 x #s(literal 1979871083368875/210624583337114373395836055367340864637790190801098222508621955072 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (-.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y x)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))))
(if (or (<=.f64 x #s(literal -17/2 binary64)) (not (<=.f64 x #s(literal 1979871083368875/210624583337114373395836055367340864637790190801098222508621955072 binary64)))) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (-.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y x)))
(if (<=.f64 x #s(literal -17/2 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 x #s(literal 1979871083368875/210624583337114373395836055367340864637790190801098222508621955072 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))))
(if (or (<=.f64 x #s(literal -17/2 binary64)) (not (<=.f64 x #s(literal 1979871083368875/210624583337114373395836055367340864637790190801098222508621955072 binary64)))) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

derivations545.0ms (9.5%)

Memory

11.0MiB live, 437.0MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	235
0	54	235
1	194	235
2	1353	235
0	8327	224
0	231	709
1	711	686
2	2133	661
0	8530	634

Stop Event

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

Compiler

Compiled 176 to 43 computations (75.6% saved)

preprocess150.0ms (2.6%)

Memory: -5.3MiB live, 99.7MiB allocated; 12ms collecting garbage
Compiler: Compiled 374 to 104 computations (72.2% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	23	65
1	43	61
2	64	59
3	110	59
4	149	59
5	157	59
6	166	59
7	168	59
0	9	11
0	14	11
1	21	11
2	27	11
3	41	11
4	70	11
5	103	11
6	108	11
7	111	11
8	119	11
9	121	11
0	121	10

Iter	Nodes	Cost
0	9	39
0	14	39
1	21	39
2	27	39
3	41	39
4	70	39
5	103	39
6	108	39
7	111	39
8	119	39
9	121	39
0	121	36

Iter	Nodes	Cost
0	42	176
1	67	176
2	89	176
3	111	176
4	152	176
5	228	176
6	241	176
7	244	176
8	250	176
9	258	176
10	262	176

Iter	Nodes	Cost
0	23	65
1	43	61
2	64	59
3	110	59
4	149	59
5	157	59
6	166	59
7	168	59
0	9	11
0	14	11
1	21	11
2	27	11
3	41	11
4	70	11
5	103	11
6	108	11
7	111	11
8	119	11
9	121	11
0	121	10

Iter	Nodes	Cost
0	9	39
0	14	39
1	21	39
2	27	39
3	41	39
4	70	39
5	103	39
6	108	39
7	111	39
8	119	39
9	121	39
0	121	36

Iter	Nodes	Cost
0	42	176
1	67	176
2	89	176
3	111	176
4	152	176
5	228	176
6	241	176
7	244	176
8	250	176
9	258	176
10	262	176

start0.0ms (0%)

analyze51.0ms (0.9%)

sample1.2s (20.6%)

explain183.0ms (3.2%)

preprocess39.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify7.0ms (0.1%)

localize23.0ms (0.4%)

series40.0ms (0.7%)

simplify251.0ms (4.3%)

rewrite267.0ms (4.6%)

eval65.0ms (1.1%)

prune9.0ms (0.1%)

simplify121.0ms (2.1%)

localize198.0ms (3.4%)

series45.0ms (0.8%)

simplify239.0ms (4.1%)

rewrite204.0ms (3.5%)

eval46.0ms (0.8%)

prune10.0ms (0.2%)

simplify294.0ms (5.1%)

localize88.0ms (1.5%)

series23.0ms (0.4%)

simplify208.0ms (3.6%)

rewrite310.0ms (5.4%)

eval69.0ms (1.2%)

prune10.0ms (0.2%)

simplify147.0ms (2.5%)

localize94.0ms (1.6%)

series20.0ms (0.3%)

simplify168.0ms (2.9%)

rewrite293.0ms (5.1%)

eval205.0ms (3.6%)

prune17.0ms (0.3%)

regimes36.0ms (0.6%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch51.0ms (0.9%)

bsearch3.0ms (0%)

bsearch2.0ms (0%)

simplify29.0ms (0.5%)

derivations545.0ms (9.5%)

preprocess150.0ms (2.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	23	65
1	43	61
2	64	59
3	110	59
4	149	59
5	157	59
6	166	59
7	168	59
0	9	11
0	14	11
1	21	11
2	27	11
3	41	11
4	70	11
5	103	11
6	108	11
7	111	11
8	119	11
9	121	11
0	121	10

Iter	Nodes	Cost
0	9	39
0	14	39
1	21	39
2	27	39
3	41	39
4	70	39
5	103	39
6	108	39
7	111	39
8	119	39
9	121	39
0	121	36

Iter	Nodes	Cost
0	42	176
1	67	176
2	89	176
3	111	176
4	152	176
5	228	176
6	241	176
7	244	176
8	250	176
9	258	176
10	262	176