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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze39.0ms (0.7%)

Memory

-1.3MiB live, 43.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.3s (23.5%)

Memory

8.3MiB live, 1 518.3MiB allocated

Samples

922.0ms	8 250×	0	valid
1.0ms	3×	3	valid
0.0ms	2×	1	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 626.0ms

ival-div: 194.0ms (31% of total)

ival-add: 179.0ms (28.6% of total)

ival-sub: 137.0ms (21.9% of total)

ival-mult: 96.0ms (15.3% of total)

exact: 9.0ms (1.4% of total)

ival-true: 6.0ms (1% of total)

ival-assert: 4.0ms (0.6% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain229.0ms (4.3%)

Memory

27.3MiB live, 213.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
24	-	-	`(/.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	1	0
↳	`(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))`	overflow	24
↳	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`	overflow	24
↳	`(*.f64 x y)`	overflow	24

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

129.0ms	510×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 93 to 31 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-mult: 100.0ms (88.3% of total)

ival-div: 7.0ms (6.2% of total)

ival-add: 3.0ms (2.7% of total)

ival-sub: 2.0ms (1.8% of total)

exact: 1.0ms (0.9% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess26.0ms (0.5%)

Memory

20.2MiB live, 64.8MiB 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune14.0ms (0.3%)

Memory

-44.5MiB live, 2.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify7.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB 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)

localize93.0ms (1.7%)

Memory

-30.5MiB live, 44.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	0.00390625	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
accuracy	0.0078125	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
accuracy	5.732432916206	(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))

Samples

17.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

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

ival-div: 4.0ms (40.3% of total)

ival-mult: 2.0ms (20.1% of total)

ival-sub: 2.0ms (20.1% of total)

ival-add: 1.0ms (10.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory

22.2MiB live, 22.2MiB 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
2.0ms	x	@	inf	((+ 1 (/ (* x y) 2)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (* x y) 2) (* x y))
2.0ms	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))

simplify236.0ms (4.4%)

Memory

1.9MiB live, 191.8MiB 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))

rewrite296.0ms (5.5%)

Memory

-24.2MiB live, 203.2MiB 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))

eval56.0ms (1.1%)

Memory: 7.1MiB live, 97.6MiB allocated
Compiler: Compiled 6 750 to 995 computations (85.3% saved)

prune6.0ms (0.1%)

Memory

26.9MiB live, 26.9MiB 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
	70.1%	(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 y (fma.f64 (/.f64 x #s(literal 2 binary64)) y #s(literal 1 binary64))) x))
▶	99.9%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
▶	60.7%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) y)))
▶	66.5%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
▶	71.8%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
▶	24.7%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Compiler

Compiled 214 to 148 computations (30.8% saved)

simplify88.0ms (1.6%)

Memory

-8.2MiB live, 50.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 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 #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: 7 (0.0ms)

Iter	Nodes	Cost
0	28	188
0	42	188
1	63	188
2	131	188
3	339	188
4	649	188
5	762	188
6	792	188
7	826	179
8	1003	179
9	1198	179
10	1317	179
11	1429	179
12	1481	179
13	1580	179
14	1686	179
15	1734	179
16	1744	179
17	1746	179
18	1746	179
19	1746	179
20	1934	179
21	2244	179
0	2244	179

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

localize102.0ms (1.9%)

Memory

14.5MiB live, 251.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) y)))
accuracy	0.0078125	(fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) y)
accuracy	7.326160777609345	(.f64 (.f64 y y) x)
accuracy	33.39155193622272	#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) y))
accuracy	0.0	(/.f64 #s(literal 2 binary64) x)
accuracy	0.00390625	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
accuracy	29.88771902596632	#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
accuracy	0.0	(-.f64 x y)
accuracy	18.069767435998944	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
accuracy	0.0	(neg.f64 y)
accuracy	48.20287428265303	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
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	0.00390625	(-.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	5.732432916206	(/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))))

Samples

88.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 138 to 23 computations (83.3% saved)

Precisions

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

ival-mult: 10.0ms (29% of total)

ival-neg: 10.0ms (29% of total)

ival-div: 7.0ms (20.3% of total)

ival-add: 4.0ms (11.6% of total)

ival-sub: 3.0ms (8.7% of total)

exact: 1.0ms (2.9% of total)

adjust: 0.0ms (0% of total)

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

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

series13.0ms (0.2%)

Memory

-14.8MiB live, 31.9MiB allocated

Counts

16 → 57

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)
(-.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 #s(literal 1/2 binary64) x)

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	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 (+ 1 (/ (* x y) 2))) (+ (* (* (* y y) x) -1/2) y) (* (* y y) x) (* 1/2 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 (+ 1 (/ (* x y) 2))) (+ (* (* (* y y) x) -1/2) y) (* (* y y) x) (* 1/2 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 (+ 1 (/ (* x y) 2))) (+ (* (* (* y y) x) -1/2) y) (* (* y y) x) (* 1/2 x))
1.0ms	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 (+ 1 (/ (* x y) 2))) (+ (* (* (* y y) x) -1/2) y) (* (* y y) x) (* 1/2 x))
1.0ms	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 (+ 1 (/ (* x y) 2))) (+ (* (* (* y y) x) -1/2) y) (* (* y y) x) (* 1/2 x))

simplify190.0ms (3.5%)

Memory

-7.6MiB live, 315.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	254	777
1	788	754
2	2413	728
0	8564	698

Stop Event

1×	iter limit
1×	node limit

Counts

57 → 55

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

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

rewrite173.0ms (3.2%)

Memory

29.7MiB live, 213.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	173
0	42	173
1	158	173
2	1114	173
0	8306	164

Stop Event

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

Counts

16 → 186

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)
(-.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 #s(literal 1/2 binary64) x)

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

eval34.0ms (0.6%)

Memory: -6.8MiB live, 84.5MiB allocated
Compiler: Compiled 12 452 to 1 108 computations (91.1% saved)

prune6.0ms (0.1%)

Memory

24.0MiB live, 24.0MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	226	1	227
Fresh	1	0	1
Picked	0	5	5
Done	0	0	0
Total	227	6	233

Accuracy

100.0%

Counts

233 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
✓	60.7%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) y)))
✓	66.5%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
▶	32.7%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 y x)) (.f64 (+.f64 y x) (.f64 y y))) (*.f64 (+.f64 y x) (+.f64 y x))))
✓	71.8%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
✓	24.7%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Compiler

Compiled 117 to 80 computations (31.6% saved)

simplify139.0ms (2.6%)

Memory

-25.1MiB live, 228.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	105
0	26	105
1	69	93
2	290	81
3	1867	77
0	8560	76

Stop Event

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

Calls

Call 1

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

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

localize64.0ms (1.2%)

Memory

23.1MiB live, 67.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	4.248434492604507	(.f64 (+.f64 y x) (.f64 y y))
accuracy	8.636675402434323	(-.f64 (.f64 (.f64 x x) (+.f64 y x)) (.f64 (+.f64 y x) (.f64 y y)))
accuracy	18.069767435998944	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 y x)) (.f64 (+.f64 y x) (.f64 y y))) (*.f64 (+.f64 y x) (+.f64 y x))))
accuracy	40.01840031055464	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 y x)) (.f64 (+.f64 y x) (.f64 y y))) (*.f64 (+.f64 y x) (+.f64 y x)))

Samples

53.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 83 to 19 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-div: 29.0ms (65.2% of total)

ival-mult: 10.0ms (22.5% of total)

ival-add: 3.0ms (6.7% of total)

ival-sub: 2.0ms (4.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series35.0ms (0.7%)

Memory

-29.6MiB live, 15.6MiB allocated

Counts

5 → 64

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
24.0ms	x	@	0	((/ (- (* (* x x) (+ y x)) (* (+ y x) (* y y))) (* (+ y x) (+ y x))) (- (* (* x x) (+ y x)) (* (+ y x) (* y y))) (- x (/ y (+ 1 (/ (* x y) 2)))) (* (* x x) (+ y x)) (* (+ y x) (* y y)))
4.0ms	y	@	-inf	((/ (- (* (* x x) (+ y x)) (* (+ y x) (* y y))) (* (+ y x) (+ y x))) (- (* (* x x) (+ y x)) (* (+ y x) (* y y))) (- x (/ y (+ 1 (/ (* x y) 2)))) (* (* x x) (+ y x)) (* (+ y x) (* y y)))
2.0ms	y	@	inf	((/ (- (* (* x x) (+ y x)) (* (+ y x) (* y y))) (* (+ y x) (+ y x))) (- (* (* x x) (+ y x)) (* (+ y x) (* y y))) (- x (/ y (+ 1 (/ (* x y) 2)))) (* (* x x) (+ y x)) (* (+ y x) (* y y)))
2.0ms	x	@	inf	((/ (- (* (* x x) (+ y x)) (* (+ y x) (* y y))) (* (+ y x) (+ y x))) (- (* (* x x) (+ y x)) (* (+ y x) (* y y))) (- x (/ y (+ 1 (/ (* x y) 2)))) (* (* x x) (+ y x)) (* (+ y x) (* y y)))
1.0ms	x	@	-inf	((/ (- (* (* x x) (+ y x)) (* (+ y x) (* y y))) (* (+ y x) (+ y x))) (- (* (* x x) (+ y x)) (* (+ y x) (* y y))) (- x (/ y (+ 1 (/ (* x y) 2)))) (* (* x x) (+ y x)) (* (+ y x) (* y y)))

simplify267.0ms (5%)

Memory

1.7MiB live, 232.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	365	1211
1	1186	1034
2	4647	871
0	9398	844

Stop Event

1×	iter limit
1×	node limit

Counts

64 → 63

Calls

Call 1

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

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

rewrite399.0ms (7.5%)

Memory

19.7MiB live, 398.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	87
0	26	83
1	127	71
2	1108	59
0	8270	58

Stop Event

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

Counts

5 → 784

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (+.f64 y x) (fma.f64 x x (.f64 y y))) (.f64 (+.f64 y x) (fma.f64 x x (.f64 y y)))) (.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (-.f64 x y)))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (+.f64 y x) y) y) (.f64 (+.f64 y x) (fma.f64 x x (.f64 y y))) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (fma.f64 (.f64 (.f64 (+.f64 y x) y) y) (.f64 (+.f64 y x) (fma.f64 x x (.f64 y y))) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) (.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (-.f64 x y)))
(.f64 (/.f64 (+.f64 y x) (neg.f64 (neg.f64 (+.f64 y x)))) (/.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (neg.f64 (neg.f64 (+.f64 y x)))))
(.f64 (/.f64 (/.f64 (.f64 (+.f64 y x) (fma.f64 x x (.f64 (neg.f64 y) y))) (+.f64 y x)) (.f64 (-.f64 y x) (+.f64 y x))) (-.f64 y x))
(.f64 (/.f64 (/.f64 (.f64 (+.f64 y x) (fma.f64 x x (.f64 (neg.f64 y) y))) (+.f64 y x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (.f64 x (-.f64 x y))))
(.f64 (/.f64 (+.f64 y x) (neg.f64 (+.f64 y x))) (/.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (neg.f64 (+.f64 y x))))
(*.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (-.f64 x y))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (+.f64 y x) x) x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 (neg.f64 (+.f64 y x)) (.f64 y y)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 (.f64 (neg.f64 (+.f64 y x)) (.f64 y y)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) (-.f64 (/.f64 (.f64 (.f64 (+.f64 y x) x) x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 (.f64 (neg.f64 (+.f64 y x)) (*.f64 y y)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (+.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (neg.f64 (+.f64 y x)) (.f64 y y)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 (.f64 (+.f64 y x) x) x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (.f64 (neg.f64 (+.f64 y x)) (.f64 y y)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 (.f64 (neg.f64 (+.f64 y x)) (.f64 y y)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (.f64 (/.f64 (.f64 (.f64 (+.f64 y x) x) x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 (.f64 (neg.f64 (+.f64 y x)) (.f64 y y)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (/.f64 (.f64 (+.f64 y x) (fma.f64 x x (.f64 (neg.f64 y) y))) (neg.f64 (+.f64 y x)))) (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 (+.f64 y x) (fma.f64 x x (.f64 y y))) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (-.f64 x y)))) (neg.f64 (/.f64 (.f64 (+.f64 y x) (fma.f64 x x (.f64 y y))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (+.f64 y x) x) x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (+.f64 y x) y) (/.f64 y (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (.f64 (.f64 (+.f64 y x) x) x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (+.f64 y x) y) (/.f64 y (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 (.f64 (+.f64 y x) x) x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (.f64 (*.f64 (+.f64 y x) y) (/.f64 y (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (.f64 (+.f64 y x) (fma.f64 x x (.f64 (neg.f64 y) y))) (+.f64 y x)))) (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (.f64 (+.f64 y x) (fma.f64 x x (.f64 (neg.f64 y) y)))))) (neg.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 (+.f64 y x) x) x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 y x) y) y)))) (neg.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (+.f64 y x) x) x) (neg.f64 (+.f64 y x))) (neg.f64 (+.f64 y x))) (.f64 (neg.f64 (+.f64 y x)) (/.f64 (.f64 (.f64 (+.f64 y x) y) y) (neg.f64 (+.f64 y x))))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (+.f64 y x) x) x) (neg.f64 (+.f64 y x))) (+.f64 y x)) (.f64 (neg.f64 (+.f64 y x)) (/.f64 (.f64 (.f64 (+.f64 y x) y) y) (+.f64 y x)))) (neg.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (+.f64 y x) x) x) (neg.f64 (+.f64 y x))) (neg.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (.f64 (neg.f64 (+.f64 y x)) (.f64 (neg.f64 (+.f64 y x)) (.f64 y y)))) (*.f64 (neg.f64 (+.f64 y x)) (neg.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (+.f64 y x) x) x) (neg.f64 (+.f64 y x))) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (.f64 (neg.f64 (+.f64 y x)) (.f64 (.f64 (+.f64 y x) y) y))) (*.f64 (neg.f64 (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (+.f64 y x) x) x) (+.f64 y x)) (neg.f64 (+.f64 y x))) (.f64 (+.f64 y x) (/.f64 (.f64 (.f64 (+.f64 y x) y) y) (neg.f64 (+.f64 y x))))) (neg.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (+.f64 y x) x) x) (+.f64 y x)) (+.f64 y x)) (.f64 (+.f64 y x) (/.f64 (.f64 (.f64 (+.f64 y x) y) y) (+.f64 y x)))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (+.f64 y x) x) x) (+.f64 y x)) (neg.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (.f64 (+.f64 y x) (.f64 (neg.f64 (+.f64 y x)) (.f64 y y)))) (*.f64 (+.f64 y x) (neg.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (+.f64 y x) x) x) (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (.f64 (+.f64 y x) (.f64 (.f64 (+.f64 y x) y) y))) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 (.f64 (+.f64 y x) x) x)) (neg.f64 (+.f64 y x))) (.f64 (neg.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (+.f64 y x) y) y) (neg.f64 (+.f64 y x))))) (*.f64 (neg.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (neg.f64 (+.f64 y x))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 (.f64 (+.f64 y x) x) x)) (+.f64 y x)) (.f64 (neg.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (+.f64 y x) y) y) (+.f64 y x)))) (*.f64 (neg.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (+.f64 y x)))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 (.f64 (+.f64 y x) x) x)) (neg.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (.f64 (neg.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (.f64 (neg.f64 (+.f64 y x)) (.f64 y y)))) (pow.f64 (+.f64 y x) #s(literal 4 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 (.f64 (+.f64 y x) x) x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (.f64 (neg.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (.f64 (.f64 (+.f64 y x) y) y))) (*.f64 (neg.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (+.f64 y x) x) x) (neg.f64 (+.f64 y x))) (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (+.f64 y x) y) y) (neg.f64 (+.f64 y x))))) (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (neg.f64 (+.f64 y x))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (+.f64 y x) x) x) (+.f64 y x)) (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (+.f64 y x) y) y) (+.f64 y x)))) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (+.f64 y x) x) x) (neg.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (.f64 (neg.f64 (+.f64 y x)) (.f64 y y)))) (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 (+.f64 y x) x) x) (neg.f64 (+.f64 y x))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (.f64 (neg.f64 (+.f64 y x)) (.f64 (neg.f64 (+.f64 y x)) (.f64 y y)))) (.f64 (neg.f64 (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 (+.f64 y x) x) x) (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (.f64 (+.f64 y x) (.f64 (neg.f64 (+.f64 y x)) (*.f64 y y)))) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))
(/.f64 (fma.f64 (neg.f64 (.f64 (.f64 (+.f64 y x) x) x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (.f64 (neg.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (.f64 (neg.f64 (+.f64 y x)) (.f64 y y)))) (.f64 (neg.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 (+.f64 y x) x) x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (.f64 (neg.f64 (+.f64 y x)) (*.f64 y y)))) (pow.f64 (+.f64 y x) #s(literal 4 binary64)))
(/.f64 (-.f64 (neg.f64 (.f64 (.f64 (+.f64 y x) x) x)) (.f64 (neg.f64 (+.f64 y x)) (.f64 y y))) (neg.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(/.f64 (/.f64 (.f64 (+.f64 y x) (fma.f64 x x (.f64 (neg.f64 y) y))) (neg.f64 (+.f64 y x))) (neg.f64 (+.f64 y x)))
(/.f64 (.f64 (/.f64 (.f64 (+.f64 y x) (fma.f64 x x (.f64 y y))) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (.f64 (/.f64 (+.f64 y x) (+.f64 y x)) (-.f64 x y))) (/.f64 (.f64 (+.f64 y x) (fma.f64 x x (.f64 y y))) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (+.f64 y x) x) x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (+.f64 y x) y) (/.f64 y (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 (.f64 (+.f64 y x) x) x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (+.f64 y x) y) (/.f64 y (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 (.f64 (+.f64 y x) x) x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (.f64 (*.f64 (+.f64 y x) y) (/.f64 y (pow.f64 (+.f64 y x) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (/.f64 (.f64 (+.f64 y x) (fma.f64 x x (.f64 (neg.f64 y) y))) (+.f64 y x))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (neg.f64 (.f64 (+.f64 y x) (fma.f64 x x (.f64 (neg.f64 y) y))))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) (neg.f64 (.f64 (.f64 (+.f64 y x) (fma.f64 x x (.f64 y y))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (pow.f64 (+.f64 y x) #s(literal 3 binary64))))) (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (+.f64 y x) y) y) (.f64 (+.f64 y x) (fma.f64 x x (.f64 y y))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (+.f64 y x) x) x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 y x) y) y))) (pow.f64 (+.f64 y x) #s(literal 4 binary64)))
(/.f64 (/.f64 (.f64 (+.f64 y x) (fma.f64 x x (.f64 (neg.f64 y) y))) (+.f64 y x)) (+.f64 y x))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (.f64 (.f64 (+.f64 y x) (fma.f64 x x (.f64 y y))) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (.f64 (fma.f64 (.f64 (.f64 (+.f64 y x) y) y) (.f64 (+.f64 y x) (fma.f64 x x (.f64 y y))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 y x) (fma.f64 x x (.f64 (neg.f64 y) y)))) (neg.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(/.f64 (.f64 (+.f64 y x) (fma.f64 x x (.f64 (neg.f64 y) y))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(neg.f64 (*.f64 (/.f64 (+.f64 y x) (neg.f64 (+.f64 y x))) (-.f64 x y)))
(fma.f64 (/.f64 (.f64 (+.f64 y x) (neg.f64 x)) (neg.f64 (neg.f64 (+.f64 y x)))) (/.f64 x (neg.f64 (+.f64 y x))) (.f64 (*.f64 (neg.f64 y) y) (/.f64 (+.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (.f64 (+.f64 y x) (neg.f64 x)) (neg.f64 (neg.f64 (+.f64 y x)))) (/.f64 x (neg.f64 (+.f64 y x))) (.f64 (*.f64 y (neg.f64 y)) (/.f64 (+.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (.f64 (+.f64 y x) (neg.f64 x)) (neg.f64 (neg.f64 (+.f64 y x)))) (/.f64 x (neg.f64 (+.f64 y x))) (.f64 (neg.f64 (/.f64 (*.f64 (+.f64 y x) y) (neg.f64 (+.f64 y x)))) (/.f64 y (neg.f64 (+.f64 y x)))))
(fma.f64 (/.f64 (.f64 (+.f64 y x) (neg.f64 x)) (neg.f64 (neg.f64 (+.f64 y x)))) (/.f64 x (neg.f64 (+.f64 y x))) (.f64 (neg.f64 (/.f64 (*.f64 (+.f64 y x) y) (+.f64 y x))) (/.f64 y (+.f64 y x))))
(fma.f64 (/.f64 (.f64 (+.f64 y x) (neg.f64 x)) (neg.f64 (neg.f64 (+.f64 y x)))) (/.f64 x (neg.f64 (+.f64 y x))) (.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x))) (/.f64 (+.f64 y x) (neg.f64 (+.f64 y x)))))
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(+.f64 (.f64 (.f64 y x) x) (pow.f64 x #s(literal 3 binary64)))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (.f64 y x) x))
(.f64 (fabs.f64 (.f64 (+.f64 y x) (neg.f64 y))) y)
(.f64 (fabs.f64 (.f64 (+.f64 y x) y)) y)
(.f64 (.f64 (+.f64 y x) (neg.f64 y)) (neg.f64 y))
(.f64 (.f64 (+.f64 y x) y) y)
(.f64 (neg.f64 y) (.f64 (neg.f64 y) (+.f64 y x)))
(.f64 (.f64 y y) (+.f64 y x))
(.f64 (+.f64 y x) (.f64 y y))
(.f64 y (fabs.f64 (.f64 (neg.f64 y) (+.f64 y x))))
(.f64 y (fabs.f64 (.f64 (+.f64 y x) y)))
(.f64 y (.f64 (+.f64 y x) y))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 y y))) (pow.f64 y #s(literal 6 binary64))) (-.f64 (.f64 x (*.f64 y y)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 y y) x)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (.f64 (*.f64 y y) x) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 y y)))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 y y) x))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (*.f64 y y) x)))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 y y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 9 binary64))) (fma.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 y y)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (.f64 x (*.f64 y y)) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 9 binary64))) (fma.f64 (.f64 (.f64 y y) x) (.f64 (.f64 y y) x) (-.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (.f64 (*.f64 y y) x) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (.f64 x (.f64 y y)) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (.f64 (.f64 x (.f64 y y)) (.f64 x (.f64 y y))) (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x (.f64 y y))))))
(/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (.f64 (.f64 (.f64 y y) x) (.f64 (.f64 y y) x)) (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (.f64 y y) x)))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (*.f64 y y))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 y y))) (neg.f64 (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 (neg.f64 (.f64 (.f64 y y) (*.f64 (-.f64 y x) (+.f64 y x)))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (.f64 (.f64 y y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 (fabs.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (*.f64 y y))) (fabs.f64 (-.f64 x y)))
(/.f64 (fabs.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 y y))) (fabs.f64 (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 (fabs.f64 (.f64 (.f64 y y) (*.f64 (-.f64 y x) (+.f64 y x)))) (fabs.f64 (-.f64 x y)))
(/.f64 (fabs.f64 (.f64 (.f64 y y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fabs.f64 (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 (.f64 (.f64 (-.f64 y x) (+.f64 y x)) (*.f64 y y)) (-.f64 y x))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 y y)) (fma.f64 y y (*.f64 x (-.f64 x y))))
(/.f64 (.f64 (.f64 y y) (*.f64 (-.f64 y x) (+.f64 y x))) (-.f64 y x))
(/.f64 (.f64 (.f64 y y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(fma.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (.f64 x (.f64 y y)))
(fma.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (.f64 (.f64 y y) x))
(fma.f64 (fabs.f64 (pow.f64 y #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 y #s(literal 3/2 binary64))) (.f64 x (.f64 y y)))
(fma.f64 (fabs.f64 (pow.f64 y #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 y #s(literal 3/2 binary64))) (.f64 (.f64 y y) x))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)) (.f64 x (.f64 y y)))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)) (.f64 (.f64 y y) x))
(fma.f64 (.f64 y y) y (.f64 x (*.f64 y y)))
(fma.f64 (.f64 y y) y (.f64 (*.f64 y y) x))
(fma.f64 (*.f64 y y) x (pow.f64 y #s(literal 3 binary64)))
(fma.f64 y (.f64 y y) (.f64 x (*.f64 y y)))
(fma.f64 y (.f64 y y) (.f64 (*.f64 y y) x))
(fma.f64 x (*.f64 y y) (pow.f64 y #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(-.f64 (.f64 x (.f64 y y)) (.f64 (.f64 (neg.f64 y) y) y))
(-.f64 (.f64 x (.f64 y y)) (.f64 (.f64 y (neg.f64 y)) y))
(-.f64 (.f64 x (.f64 y y)) (*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))))
(-.f64 (.f64 x (.f64 y y)) (.f64 (neg.f64 (.f64 y y)) y))
(-.f64 (.f64 x (.f64 y y)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))
(-.f64 (.f64 (.f64 y y) x) (.f64 (.f64 (neg.f64 y) y) y))
(-.f64 (.f64 (.f64 y y) x) (.f64 (.f64 y (neg.f64 y)) y))
(-.f64 (.f64 (.f64 y y) x) (*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))))
(-.f64 (.f64 (.f64 y y) x) (.f64 (neg.f64 (.f64 y y)) y))
(-.f64 (.f64 (.f64 y y) x) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))
(-.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (.f64 (neg.f64 y) y) x))
(-.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (.f64 y (neg.f64 y)) x))
(-.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (neg.f64 x) (.f64 y y)))
(-.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (neg.f64 (.f64 y y)) x))
(fabs.f64 (.f64 (neg.f64 (+.f64 y x)) (.f64 y y)))
(fabs.f64 (.f64 (.f64 (+.f64 y x) y) y))
(+.f64 (.f64 x (.f64 y y)) (pow.f64 y #s(literal 3 binary64)))
(+.f64 (.f64 (.f64 y y) x) (pow.f64 y #s(literal 3 binary64)))
(+.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x (.f64 y y)))
(+.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (.f64 y y) x))

eval377.0ms (7%)

Memory: 17.5MiB live, 211.1MiB allocated
Compiler: Compiled 38 841 to 3 036 computations (92.2% saved)

prune46.0ms (0.9%)

Memory

-4.4MiB live, 46.7MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	841	1	842
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	842	6	848

Accuracy

100.0%

Counts

848 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
✓	60.7%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) y)))
✓	66.5%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	71.8%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
✓	24.7%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
▶	58.8%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (/ (- (* (* x x) (+ y x)) (* (+ y x) (* y y))) (* (+ y x) (+ y x))) (fma.f64 (/.f64 x y) y (neg.f64 y))))

Compiler

Compiled 125 to 84 computations (32.8% saved)

simplify134.0ms (2.5%)

Memory

-3.5MiB live, 85.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	88
0	26	88
1	71	80
2	299	65
3	1884	55
0	8674	54

Stop Event

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

Calls

Call 1

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

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

localize76.0ms (1.4%)

Memory

18.0MiB live, 62.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 y)
accuracy	0.0	#s(approx (/ (- (* (* x x) (+ y x)) (* (+ y x) (* y y))) (* (+ y x) (+ y x))) (fma.f64 (/.f64 x y) y (neg.f64 y)))
accuracy	8.285509520752893	(fma.f64 (/.f64 x y) y (neg.f64 y))
accuracy	18.065861185998944	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (/ (- (* (* x x) (+ y x)) (* (+ y x) (* y y))) (* (+ y x) (+ y x))) (fma.f64 (/.f64 x y) y (neg.f64 y))))

Samples

65.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 51 to 23 computations (54.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 11.0ms (42.2% of total)

ival-div: 7.0ms (26.9% of total)

ival-add: 4.0ms (15.4% of total)

ival-sub: 2.0ms (7.7% of total)

ival-neg: 1.0ms (3.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series37.0ms (0.7%)

Memory

-11.6MiB live, 43.2MiB allocated

Counts

5 → 38

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
17.0ms	y	@	0	((+ (* (/ x y) y) (neg y)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ (- (* (* x x) (+ y x)) (* (+ y x) (* y y))) (* (+ y x) (+ y x))) (/ x y) (neg y))
16.0ms	x	@	-inf	((+ (* (/ x y) y) (neg y)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ (- (* (* x x) (+ y x)) (* (+ y x) (* y y))) (* (+ y x) (+ y x))) (/ x y) (neg y))
1.0ms	x	@	0	((+ (* (/ x y) y) (neg y)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ (- (* (* x x) (+ y x)) (* (+ y x) (* y y))) (* (+ y x) (+ y x))) (/ x y) (neg y))
1.0ms	y	@	-inf	((+ (* (/ x y) y) (neg y)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ (- (* (* x x) (+ y x)) (* (+ y x) (* y y))) (* (+ y x) (+ y x))) (/ x y) (neg y))
1.0ms	x	@	inf	((+ (* (/ x y) y) (neg y)) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ (- (* (* x x) (+ y x)) (* (+ y x) (* y y))) (* (+ y x) (+ y x))) (/ x y) (neg y))

simplify172.0ms (3.2%)

Memory

-4.9MiB live, 130.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	289	878
1	933	727
2	3611	616
0	9521	598

Stop Event

1×	iter limit
1×	node limit

Counts

38 → 37

Calls

Call 1

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

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

rewrite246.0ms (4.6%)

Memory

-20.4MiB live, 158.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	86
0	26	82
1	141	74
2	1266	62
0	8246	61

Stop Event

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

Counts

5 → 45

Calls

Call 1

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

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

eval33.0ms (0.6%)

Memory: -16.1MiB live, 29.2MiB allocated
Compiler: Compiled 4 768 to 472 computations (90.1% saved)

prune5.0ms (0.1%)

Memory

22.6MiB live, 22.6MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	82	6	88

Accuracy

100.0%

Counts

88 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))))
✓	60.7%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) y)))
✓	66.5%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	71.8%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
✓	24.7%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
✓	58.8%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (/ (- (* (* x x) (+ y x)) (* (+ y x) (* y y))) (* (+ y x) (+ y x))) (fma.f64 (/.f64 x y) y (neg.f64 y))))

Compiler

Compiled 321 to 146 computations (54.5% saved)

regimes31.0ms (0.6%)

Memory

-11.6MiB live, 45.3MiB allocated

Counts

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

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:

25.0ms	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
99.9%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes9.0ms (0.2%)

Memory

-30.6MiB live, 13.8MiB allocated

Counts

5 → 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 (/ (- (* (* x x) (+ y x)) (* (+ y x) (* y y))) (* (+ y x) (+ y x))) (fma.f64 (/.f64 x y) y (neg.f64 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:

4.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
86.8%	3	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
88.9%	3	`x`
92.1%	3	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes4.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB 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:

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

Results

Accuracy	Segments	Branch
71.8%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
71.8%	1	`x`
71.8%	1	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes3.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
24.7%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
24.7%	1	`x`
24.7%	1	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch27.0ms (0.5%)

Memory

6.5MiB live, 51.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.6528380425508096e+69	9.973314449450442e+72
12.0ms	-1.2058961867174422e+107	-4.861837718819132e+105

Samples

15.0ms

240×

valid

Compiler

Compiled 464 to 389 computations (16.2% saved)

Precisions

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

ival-div: 5.0ms (50.5% of total)

ival-mult: 2.0ms (20.2% of total)

ival-sub: 1.0ms (10.1% of total)

ival-add: 1.0ms (10.1% of total)

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

exact: 0.0ms (0% of total)

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

simplify37.0ms (0.7%)

Memory

-26.1MiB live, 20.2MiB 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 -42000000000000000971661593247193749663515104024241009928435169842021041269878974342913736741003382543613952 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 y #s(literal 52000000000000000706643610107742509843541415001000774449468683717705728 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 -42000000000000000971661593247193749663515104024241009928435169842021041269878974342913736741003382543613952 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 y #s(literal 52000000000000000706643610107742509843541415001000774449468683717705728 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 -42000000000000000971661593247193749663515104024241009928435169842021041269878974342913736741003382543613952 binary64)) (not (<=.f64 y #s(literal 52000000000000000706643610107742509843541415001000774449468683717705728 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))

soundness308.0ms (5.8%)

Memory

-1.8MiB live, 244.0MiB 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)

preprocess26.0ms (0.5%)

Memory: -1.7MiB live, 43.8MiB 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	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	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%)

analyze39.0ms (0.7%)

sample1.3s (23.5%)

explain229.0ms (4.3%)

preprocess26.0ms (0.5%)

eval0.0ms (0%)

prune14.0ms (0.3%)

simplify7.0ms (0.1%)

localize93.0ms (1.7%)

series9.0ms (0.2%)

simplify236.0ms (4.4%)

rewrite296.0ms (5.5%)

eval56.0ms (1.1%)

prune6.0ms (0.1%)

simplify88.0ms (1.6%)

localize102.0ms (1.9%)

series13.0ms (0.2%)

simplify190.0ms (3.5%)

rewrite173.0ms (3.2%)

eval34.0ms (0.6%)

prune6.0ms (0.1%)

simplify139.0ms (2.6%)

localize64.0ms (1.2%)

series35.0ms (0.7%)

simplify267.0ms (5%)

rewrite399.0ms (7.5%)

eval377.0ms (7%)

prune46.0ms (0.9%)

simplify134.0ms (2.5%)

localize76.0ms (1.4%)

series37.0ms (0.7%)

simplify172.0ms (3.2%)

rewrite246.0ms (4.6%)

eval33.0ms (0.6%)

prune5.0ms (0.1%)

regimes31.0ms (0.6%)

regimes9.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch27.0ms (0.5%)

simplify37.0ms (0.7%)

soundness308.0ms (5.8%)

preprocess26.0ms (0.5%)

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	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