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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze23.0ms (0.4%)

Memory

35.2MiB live, 35.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.7s (29.8%)

Memory

9.7MiB live, 1 441.6MiB allocated

Samples

1.2s	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 818.0ms

ival-div: 386.0ms (47.2% of total)

ival-sub: 176.0ms (21.5% of total)

ival-mult: 144.0ms (17.6% of total)

ival-add: 93.0ms (11.4% of total)

exact: 8.0ms (1% of total)

ival-true: 6.0ms (0.7% of total)

ival-assert: 3.0ms (0.4% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain181.0ms (3.2%)

Memory

-3.6MiB live, 278.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
33	-	-	`(/.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`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))`	n/o	2	0
↳	`(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))`	overflow	33
↳	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`	overflow	33
↳	`(*.f64 x y)`	overflow	33

Confusion

	Predicted +	Predicted -
+	0	0
-	2	254

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	2	0	254

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	254
1	2

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	1	0	0

Precision?

0.0

Recall?

0/0

Samples

58.0ms

512×

valid

Compiler

Compiled 93 to 31 computations (66.7% saved)

Precisions

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

ival-div: 33.0ms (77.4% of total)

ival-mult: 4.0ms (9.4% of total)

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

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

exact: 1.0ms (2.3% of total)

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

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

preprocess73.0ms (1.3%)

Memory

-1.9MiB live, 45.2MiB allocated

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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.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)

simplify6.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

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)

localize43.0ms (0.8%)

Memory

-8.3MiB live, 41.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
accuracy	0.0	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
accuracy	0.0	(*.f64 x y)
accuracy	7.701814614382305	(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))

Samples

37.0ms

256×

valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

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

ival-div: 5.0ms (53.2% of total)

ival-mult: 2.0ms (21.3% of total)

ival-sub: 1.0ms (10.6% of total)

ival-add: 1.0ms (10.6% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

5 → 47

Calls

Call 1

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

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

Calls

6 calls:

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

simplify217.0ms (3.9%)

Memory

-25.7MiB live, 207.0MiB allocated

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))

rewrite212.0ms (3.8%)

Memory

47.5MiB live, 228.2MiB allocated

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))))
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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))

eval91.0ms (1.6%)

Memory: -16.3MiB live, 70.8MiB allocated
Compiler: Compiled 6 750 to 995 computations (85.3% saved)

prune6.0ms (0.1%)

Memory

19.7MiB live, 19.7MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	227	6	233
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	228	6	234

Accuracy

100.0%

Counts

234 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
	59.3%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) y)))
▶	56.9%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
▶	63.3%	#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))
▶	74.6%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
▶	34.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Compiler

Compiled 208 to 156 computations (25% saved)

simplify56.0ms (1%)

Memory

-22.0MiB live, 35.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(.f64 (.f64 y x) #s(literal 1/2 binary64))
cost-diff	0	(-.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
cost-diff	0	(fma.f64 (-.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y x)
cost-diff	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))
cost-diff	0	(/.f64 #s(literal 2 binary64) x)
cost-diff	0	#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
cost-diff	0	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
cost-diff	0	(-.f64 x y)
cost-diff	0	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
cost-diff	0	(fma.f64 (*.f64 #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	27	182
0	41	182
1	58	182
2	87	182
3	144	182
4	224	182
5	272	182
6	286	182
7	300	182
8	306	182
0	306	174

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

localize167.0ms (3%)

Memory

9.8MiB live, 103.2MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(.f64 (.f64 y x) #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 y x)
accuracy	0.0234375	(fma.f64 (-.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y x)
accuracy	23.469133121307774	#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))
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	33.976772604193336	#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
accuracy	0.0	(-.f64 x y)
accuracy	16.26698595034641	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
accuracy	0.0	(neg.f64 y)
accuracy	42.08037879477306	#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	7.701814614382305	(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))

Samples

154.0ms

256×

valid

Compiler

Compiled 139 to 23 computations (83.5% saved)

Precisions

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

ival-mult: 9.0ms (37.9% of total)

ival-div: 5.0ms (21.1% of total)

ival-sub: 4.0ms (16.8% of total)

ival-add: 3.0ms (12.6% of total)

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

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

exact: 0.0ms (0% of total)

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

series26.0ms (0.5%)

Memory

-21.1MiB live, 23.7MiB allocated

Counts

17 → 68

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

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

Calls

6 calls:

Time	Variable		Point	Expression
17.0ms	y	@	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)))) (- x y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (- (* (* y x) 1/2) 1) y) x) (- (* (* y x) 1/2) 1) (* (* y x) 1/2) (* 1/2 x) (* y x))
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)))) (- x y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (- (* (* y x) 1/2) 1) y) x) (- (* (* y x) 1/2) 1) (* (* y x) 1/2) (* 1/2 x) (* y x))
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)))) (- x y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (- (* (* y x) 1/2) 1) y) x) (- (* (* y x) 1/2) 1) (* (* y x) 1/2) (* 1/2 x) (* y x))
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)))) (- x y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (- (* (* y x) 1/2) 1) y) x) (- (* (* y x) 1/2) 1) (* (* y x) 1/2) (* 1/2 x) (* y x))
1.0ms	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)))) (- x y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (- (* (* y x) 1/2) 1) y) x) (- (* (* y x) 1/2) 1) (* (* y x) 1/2) (* 1/2 x) (* y x))

simplify221.0ms (4%)

Memory

-28.8MiB live, 324.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	278	896
1	853	870
2	2673	843
0	8590	803

Stop Event

1×	iter limit
1×	node limit

Counts

68 → 66

Calls

Call 1

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

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

rewrite214.0ms (3.8%)

Memory

40.0MiB live, 333.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	169
0	41	169
1	159	169
2	1022	169
0	8392	161

Stop Event

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

Counts

17 → 220

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

eval41.0ms (0.7%)

Memory: 6.3MiB live, 94.1MiB allocated
Compiler: Compiled 13 472 to 1 332 computations (90.1% saved)

prune30.0ms (0.5%)

Memory

-28.2MiB live, 18.2MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	271	1	272
Fresh	0	1	1
Picked	1	4	5
Done	0	0	0
Total	272	6	278

Accuracy

100.0%

Counts

278 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
▶	59.3%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) y)))
✓	56.9%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
▶	63.3%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) y x))
✓	74.6%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
✓	34.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Compiler

Compiled 103 to 77 computations (25.2% saved)

simplify103.0ms (1.8%)

Memory

-4.2MiB live, 50.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	100
0	31	100
1	54	100
2	137	100
3	394	100
4	884	100
5	1508	100
6	1832	100
7	1975	100
8	2077	100
9	2129	100
10	2224	100
11	2316	100
12	2358	100
13	2366	100
14	2366	100
15	2402	100
16	2414	100
17	2414	100
18	2494	100
19	2723	100
0	2723	97

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize47.0ms (0.8%)

Memory

36.9MiB live, 79.6MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y y)
accuracy	0.00390625	(fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) y)
accuracy	7.196288337695655	(.f64 (.f64 y y) x)
accuracy	29.21965377716217	#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) y))
accuracy	0.0	(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
accuracy	0.0	(*.f64 y x)
accuracy	0.0234375	(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) y x)
accuracy	23.469133121307774	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) y x))

Samples

37.0ms

256×

valid

Compiler

Compiled 78 to 23 computations (70.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 11.0ms (52.3% of total)

ival-add: 5.0ms (23.8% of total)

ival-div: 3.0ms (14.3% of total)

ival-sub: 1.0ms (4.8% of total)

exact: 1.0ms (4.8% of total)

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

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

series13.0ms (0.2%)

Memory

-26.3MiB live, 17.4MiB allocated

Counts

9 → 62

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* 1/2 (* y x)) -1) y) x) (+ (* 1/2 (* y x)) -1) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y y) x) -1/2) y) (* (* y y) x) (* y y))
1.0ms	x	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* 1/2 (* y x)) -1) y) x) (+ (* 1/2 (* y x)) -1) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y y) x) -1/2) y) (* (* y y) x) (* y y))
1.0ms	y	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* 1/2 (* y x)) -1) y) x) (+ (* 1/2 (* y x)) -1) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y y) x) -1/2) y) (* (* y y) x) (* y y))
1.0ms	x	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* 1/2 (* y x)) -1) y) x) (+ (* 1/2 (* y x)) -1) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y y) x) -1/2) y) (* (* y y) x) (* y y))
1.0ms	y	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* 1/2 (* y x)) -1) y) x) (+ (* 1/2 (* y x)) -1) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y y) x) -1/2) y) (* (* y y) x) (* y y))

simplify189.0ms (3.4%)

Memory

21.3MiB live, 248.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	261	856
1	817	832
2	2584	802
0	9218	762

Stop Event

1×	iter limit
1×	node limit

Counts

62 → 60

Calls

Call 1

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

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

rewrite196.0ms (3.5%)

Memory

-6.9MiB live, 281.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	93
0	31	93
1	131	93
2	943	93
0	8382	90

Stop Event

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

Counts

9 → 164

Calls

Call 1

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

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

eval30.0ms (0.5%)

Memory: -10.9MiB live, 80.7MiB allocated
Compiler: Compiled 10 460 to 1 002 computations (90.4% saved)

prune5.0ms (0.1%)

Memory

22.6MiB live, 22.6MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	209	2	211
Fresh	0	0	0
Picked	2	0	2
Done	0	4	4
Total	211	6	217

Accuracy

100.0%

Counts

217 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
▶	63.3%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y x) y) #s(literal -1/2 binary64) y)))
✓	56.9%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	74.6%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
✓	34.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
▶	35.5%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* 1/2 (* y x)) -1) y) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y)))

Compiler

Compiled 114 to 85 computations (25.4% saved)

simplify99.0ms (1.8%)

Memory

3.4MiB live, 58.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	128
0	34	128
1	53	128
2	110	128
3	276	128
4	664	128
5	1308	128
6	1839	128
7	2008	128
8	2166	128
9	2222	128
10	2317	128
11	2409	128
12	2451	128
13	2459	128
14	2459	128
15	2495	128
16	2507	128
17	2507	128
18	2587	128
19	2816	128
0	2816	123

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize50.0ms (0.9%)

Memory

14.1MiB live, 151.2MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y x)
accuracy	0.00390625	(fma.f64 (.f64 (.f64 y x) y) #s(literal -1/2 binary64) y)
accuracy	0.109375	(.f64 (.f64 y x) y)
accuracy	29.21965377716217	#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y x) y) #s(literal -1/2 binary64) y))
accuracy	0.0	(*.f64 y x)
accuracy	0.0546875	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y)
accuracy	18.158795706910368	#s(approx (+ (* (+ (* 1/2 (* y x)) -1) y) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y))
accuracy	23.469133121307774	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* 1/2 (* y x)) -1) y) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y)))

Samples

37.0ms

256×

valid

Compiler

Compiled 87 to 22 computations (74.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 9.0ms (41.6% of total)

ival-div: 6.0ms (27.8% of total)

ival-add: 5.0ms (23.1% of total)

ival-sub: 1.0ms (4.6% of total)

exact: 1.0ms (4.6% of total)

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

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

series20.0ms (0.4%)

Memory

-9.6MiB live, 53.3MiB allocated

Counts

9 → 65

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* 1/2 (* y x)) -1) y) x) (* (+ (* 1/2 (* y x)) -1) y) (+ (* 1/2 (* y x)) -1) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y x) y) -1/2) y) (* (* y x) y) (* y x))
7.0ms	x	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* 1/2 (* y x)) -1) y) x) (* (+ (* 1/2 (* y x)) -1) y) (+ (* 1/2 (* y x)) -1) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y x) y) -1/2) y) (* (* y x) y) (* y x))
1.0ms	x	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* 1/2 (* y x)) -1) y) x) (* (+ (* 1/2 (* y x)) -1) y) (+ (* 1/2 (* y x)) -1) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y x) y) -1/2) y) (* (* y x) y) (* y x))
1.0ms	y	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* 1/2 (* y x)) -1) y) x) (* (+ (* 1/2 (* y x)) -1) y) (+ (* 1/2 (* y x)) -1) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y x) y) -1/2) y) (* (* y x) y) (* y x))
1.0ms	y	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* 1/2 (* y x)) -1) y) x) (* (+ (* 1/2 (* y x)) -1) y) (+ (* 1/2 (* y x)) -1) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y x) y) -1/2) y) (* (* y x) y) (* y x))

simplify250.0ms (4.5%)

Memory

-28.2MiB live, 201.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	263	907
1	825	880
2	2640	851
0	8531	806

Stop Event

1×	iter limit
1×	node limit

Counts

65 → 63

Calls

Call 1

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

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

rewrite237.0ms (4.2%)

Memory

2.2MiB live, 195.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	118
0	34	118
1	131	118
2	908	118
0	8375	113

Stop Event

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

Counts

9 → 138

Calls

Call 1

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

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

eval63.0ms (1.1%)

Memory: 8.4MiB live, 54.7MiB allocated
Compiler: Compiled 10 075 to 960 computations (90.5% saved)

prune53.0ms (1%)

Memory

-8.0MiB live, 35.0MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	192	0	192
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	192	6	198

Accuracy

100.0%

Counts

198 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
✓	63.3%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y x) y) #s(literal -1/2 binary64) y)))
✓	56.9%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	74.6%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
✓	34.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
✓	35.5%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* 1/2 (* y x)) -1) y) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y)))

Compiler

Compiled 302 to 143 computations (52.6% saved)

regimes10.0ms (0.2%)

Memory

41.2MiB live, 41.2MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Results

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

Compiler

Compiled 13 to 13 computations (0% saved)

regimes35.0ms (0.6%)

Memory

-16.8MiB live, 33.7MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

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

Calls

3 calls:

29.0ms	y
3.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
3.0ms	x

Results

Accuracy	Segments	Branch
82.8%	3	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
88.4%	3	`x`
90.1%	3	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes38.0ms (0.7%)

Memory

-28.7MiB live, 17.9MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

35.0ms	(-.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
74.6%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
74.6%	1	`x`
74.6%	1	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes3.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
34.2%	1	`y`
34.2%	1	`x`
34.2%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch100.0ms (1.8%)

Memory

24.8MiB live, 68.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
84.0ms	4.906841386111955e+109	2.812834205605522e+117
13.0ms	-1.050998849976572e+164	-3.9887961838628255e+158

Samples

15.0ms

288×

valid

Compiler

Compiled 554 to 464 computations (16.2% saved)

Precisions

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

ival-div: 4.0ms (44.6% of total)

ival-mult: 2.0ms (22.3% of total)

ival-sub: 1.0ms (11.1% of total)

ival-add: 1.0ms (11.1% of total)

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

exact: 0.0ms (0% of total)

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

simplify87.0ms (1.6%)

Memory

-11.0MiB live, 34.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	86
1	47	86
2	63	86
3	81	86
4	110	86
5	145	86
6	158	86
7	161	86
8	168	86
9	176	86
10	180	86

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 y #s(literal -419999999999999977767942850400717302822401131907892772986066329592092287795947930982460264861407454541837559239925613699522055969985845111375945609012125368320 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 y #s(literal 44999999999999996325672276259984087347064608626205033795300814332962647300872793827018344147425288698402928592945152 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 y #s(literal -419999999999999977767942850400717302822401131907892772986066329592092287795947930982460264861407454541837559239925613699522055969985845111375945609012125368320 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 y #s(literal 44999999999999996325672276259984087347064608626205033795300814332962647300872793827018344147425288698402928592945152 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))))
(if (or (<=.f64 y #s(literal -419999999999999977767942850400717302822401131907892772986066329592092287795947930982460264861407454541837559239925613699522055969985845111375945609012125368320 binary64)) (not (<=.f64 y #s(literal 44999999999999996325672276259984087347064608626205033795300814332962647300872793827018344147425288698402928592945152 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))

soundness623.0ms (11.2%)

Memory

-23.2MiB live, 319.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 109 to 53 computations (51.4% saved)

preprocess55.0ms (1%)

Memory: 41.8MiB live, 86.0MiB allocated
Compiler: Compiled 194 to 80 computations (58.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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	27	182
0	41	182
1	58	182
2	87	182
3	144	182
4	224	182
5	272	182
6	286	182
7	300	182
8	306	182
0	306	174

Iter	Nodes	Cost
0	28	86
1	47	86
2	63	86
3	81	86
4	110	86
5	145	86
6	158	86
7	161	86
8	168	86
9	176	86
10	180	86

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	27	182
0	41	182
1	58	182
2	87	182
3	144	182
4	224	182
5	272	182
6	286	182
7	300	182
8	306	182
0	306	174

Iter	Nodes	Cost
0	28	86
1	47	86
2	63	86
3	81	86
4	110	86
5	145	86
6	158	86
7	161	86
8	168	86
9	176	86
10	180	86

start0.0ms (0%)

analyze23.0ms (0.4%)

sample1.7s (29.8%)

explain181.0ms (3.2%)

preprocess73.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0.1%)

localize43.0ms (0.8%)

series9.0ms (0.2%)

simplify217.0ms (3.9%)

rewrite212.0ms (3.8%)

eval91.0ms (1.6%)

prune6.0ms (0.1%)

simplify56.0ms (1%)

localize167.0ms (3%)

series26.0ms (0.5%)

simplify221.0ms (4%)

rewrite214.0ms (3.8%)

eval41.0ms (0.7%)

prune30.0ms (0.5%)

simplify103.0ms (1.8%)

localize47.0ms (0.8%)

series13.0ms (0.2%)

simplify189.0ms (3.4%)

rewrite196.0ms (3.5%)

eval30.0ms (0.5%)

prune5.0ms (0.1%)

simplify99.0ms (1.8%)

localize50.0ms (0.9%)

series20.0ms (0.4%)

simplify250.0ms (4.5%)

rewrite237.0ms (4.2%)

eval63.0ms (1.1%)

prune53.0ms (1%)

regimes10.0ms (0.2%)

regimes35.0ms (0.6%)

regimes38.0ms (0.7%)

regimes3.0ms (0.1%)

bsearch100.0ms (1.8%)

simplify87.0ms (1.6%)

soundness623.0ms (11.2%)

preprocess55.0ms (1%)

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	27	182
0	41	182
1	58	182
2	87	182
3	144	182
4	224	182
5	272	182
6	286	182
7	300	182
8	306	182
0	306	174

Iter	Nodes	Cost
0	28	86
1	47	86
2	63	86
3	81	86
4	110	86
5	145	86
6	158	86
7	161	86
8	168	86
9	176	86
10	180	86