Metrics for Numeric.Integration.TanhSinh:everywhere from integration-0.2.1

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample923.0ms (13.4%)

Memory

-207.4MiB live, 863.9MiB allocated

Samples

727.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 459.0ms

ival-mult: 407.0ms (88.7% of total)

ival-add: 38.0ms (8.3% of total)

ival-true: 6.0ms (1.3% of total)

exact: 5.0ms (1.1% of total)

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

Bogosity

explain90.0ms (1.3%)

Memory

0.6MiB live, 81.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
16	-	-	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
0	-	-	`y`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 y y)`
0	-	-	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`	*no**	16	0

Confusion

	Predicted +	Predicted -
+	16	0
-	0	240

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	16	0	0
-	0	0	240

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	240
1	16

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

53.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-mult: 7.0ms (68.6% of total)

ival-add: 2.0ms (19.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess30.0ms (0.4%)

Memory

-2.1MiB live, 34.1MiB allocated

Algorithm

1×	egg-herbie

Rules

158×	`associate-r`
124×	`distribute-lft-in`
112×	`unsub-neg`
92×	`associate-l`
82×	`distribute-lft-neg-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	37
1	65	37
2	194	35
3	463	35
4	639	35
5	762	35
6	789	35
0	6	7
0	9	7
1	19	7
2	27	7
3	49	7
4	49	7
0	49	6

Stop Event

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

Calls

Call 1

Inputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)

Symmetry

(abs y)

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify4.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

46×	`lower-*.f32`
42×	`lower-*.f64`
22×	`lower-fma.f64`
22×	`lower-fma.f32`
14×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	19	18
2	27	18
3	49	18
4	49	18
0	49	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
x
(+.f64 #s(literal 1 binary64) (*.f64 y y))
(fma.f64 y y #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 y y)
y

localize17.0ms (0.3%)

Memory

-6.0MiB live, 30.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy	0	(*.f64 y y)
accuracy	3.845764255779845	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

Samples

13.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-mult: 5.0ms (75.9% of total)

ival-add: 1.0ms (15.2% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

3 → 48

Calls

Call 1

Inputs
#s(alt (+.f64 #s(literal 1 binary64) (.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (.f64 y y)) #<representation binary64>) () ())
#s(alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) (patch (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) #<representation binary64>) () ())
#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())

Inputs

#s(alt (+.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ())

#s(alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())

#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) (patch (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) (patch (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) (patch (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) (patch (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) (patch (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) (patch (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) (patch (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) (patch (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ 1 (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ 1 (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ 1 (pow y 2)))) (taylor -inf y) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 y y)) (patch (+.f64 #s(literal 1 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) (patch (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) (patch (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) (patch (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) (patch (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) (patch (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) (patch (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) (patch (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) (patch (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) (patch (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) (patch (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) (patch (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) (patch (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) (patch (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) (patch (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) (patch (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) (patch (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	((+ 1 (* y y)) (* x (+ 1 (* y y))) (* y y))
1.0ms	x	@	inf	((+ 1 (* y y)) (* x (+ 1 (* y y))) (* y y))
1.0ms	x	@	0	((+ 1 (* y y)) (* x (+ 1 (* y y))) (* y y))
1.0ms	y	@	0	((+ 1 (* y y)) (* x (+ 1 (* y y))) (* y y))
0.0ms	x	@	-inf	((+ 1 (* y y)) (* x (+ 1 (* y y))) (* y y))

simplify211.0ms (3.1%)

Memory

15.9MiB live, 133.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 064×	`lower-fma.f64`
9 064×	`lower-fma.f32`
6 574×	`lower-*.f64`
6 574×	`lower-*.f32`
2 432×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	246
1	42	246
2	74	246
3	214	246
4	721	246
5	1940	246
6	2658	246
7	3752	246
8	5094	246
9	5986	246
10	6927	246
11	7270	246
12	7376	246
13	7453	246
14	7522	246
15	7669	246
0	8207	216

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

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

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

rewrite181.0ms (2.6%)

Memory

-8.9MiB live, 308.3MiB allocated

Rules

5 176×	`lower-fma.f64`
5 176×	`lower-fma.f32`
4 882×	`lower-/.f64`
4 882×	`lower-/.f32`
4 246×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	34	15
2	209	15
3	1404	15
0	8269	13

Stop Event

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

Counts

3 → 368

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y y))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y y))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y))) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (fma.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 18 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y))) #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 18 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y y))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))))) (pow.f64 (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) (+.f64 (pow.f64 y #s(literal 18 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y))) #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y))))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (-.f64 #s(literal 1 binary64) (.f64 y y))) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (-.f64 #s(literal 1 binary64) (.f64 y y))) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 18 binary64)) #s(literal 1 binary64)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))))
(.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -3 binary64)) (.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y y))) #s(literal 2 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y #s(literal -1 binary64)))))
(.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y y)))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 y y)))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))))
(.f64 (.f64 (+.f64 (pow.f64 y #s(literal 18 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (pow.f64 y #s(literal 6 binary64))) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))))
(.f64 (-.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 y y))))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)))))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))))
(*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))
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(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 y y)) (-.f64 (.f64 x (.f64 y y)) x) (*.f64 x x)))
(/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y y))) (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y y))) (.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) (*.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (.f64 y y)) x) (-.f64 (pow.f64 (.f64 x (.f64 y y)) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 x x) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(fma.f64 (/.f64 (.f64 x x) x) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64)) (neg.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))))
(fma.f64 (/.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (neg.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y y))))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 y y))) (neg.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))))
(fma.f64 (*.f64 x y) y x)
(fma.f64 (.f64 x x) (pow.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) #s(literal -1 binary64)) (neg.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y y))))))
(fma.f64 (.f64 x (.f64 y y)) #s(literal 1 binary64) x)
(fma.f64 x (*.f64 y y) x)
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 y y)))
(fma.f64 (*.f64 y y) x x)
(fma.f64 y (*.f64 x y) x)
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 y y)) x)
(fma.f64 #s(literal 1 binary64) x (.f64 x (.f64 y y)))
(-.f64 (/.f64 (pow.f64 (.f64 x (.f64 y y)) #s(literal 2 binary64)) (-.f64 (.f64 x (.f64 y y)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 x (*.f64 y y)) x)))
(-.f64 (.f64 (/.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)))) (.f64 (/.f64 (.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(+.f64 (.f64 (/.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)))) (neg.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))))
(+.f64 (.f64 x (.f64 y y)) x)
(+.f64 x (.f64 x (.f64 y y)))
(.f64 (.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
(.f64 #s(literal 1 binary64) (.f64 y y))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))

eval88.0ms (1.3%)

Memory: -8.5MiB live, 71.0MiB allocated
Compiler: Compiled 9 642 to 1 119 computations (88.4% saved)

prune83.0ms (1.2%)

Memory

14.1MiB live, 90.1MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	409	6	415
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	410	6	416

Accuracy

100.0%

Counts

416 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (*.f64 x y) y x)
▶	64.4%	(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
	93.9%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) x))
▶	93.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
▶	47.8%	(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))
▶	50.1%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))

Compiler

Compiled 96 to 78 computations (18.8% saved)

simplify181.0ms (2.6%)

Memory

-14.1MiB live, 106.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 y #s(literal 4 binary64))
cost-diff	0	(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
cost-diff	0	(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
cost-diff	0	(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
cost-diff	0	(fma.f64 y y #s(literal 1 binary64))
cost-diff	0	(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
cost-diff	0	(*.f64 y y)
cost-diff	0	#s(approx (+ 1 (* y y)) (*.f64 y y))
cost-diff	0	(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))
cost-diff	0	#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
cost-diff	0	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
cost-diff	0	(*.f64 x y)
cost-diff	0	(fma.f64 (*.f64 x y) y x)

Rules

9 384×	`lower-fma.f32`
9 378×	`lower-fma.f64`
2 336×	`lower-*.f32`
2 324×	`lower-*.f64`
2 128×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	121
0	38	113
1	68	113
2	110	113
3	241	113
4	477	113
5	1128	113
6	1768	113
7	3328	113
8	5779	113
9	7690	113
0	8086	113

Stop Event

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

Calls

Call 1

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

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

localize57.0ms (0.8%)

Memory

16.1MiB live, 87.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 y #s(literal 4 binary64))
accuracy	0	(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
accuracy	2.1534836669928237	(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
accuracy	17.634327556472687	(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
accuracy	0	(fma.f64 y y #s(literal 1 binary64))
accuracy	0.15234375	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
accuracy	0.41181608371212025	(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
accuracy	3.845764255779845	(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
accuracy	0	(*.f64 y y)
accuracy	3.845764255779845	(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))
accuracy	29.77337983734495	#s(approx (+ 1 (* y y)) (*.f64 y y))
accuracy	3.845764255779845	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
accuracy	32.238142786734954	#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
accuracy	0	(*.f64 x y)
accuracy	0.0625	(fma.f64 (*.f64 x y) y x)

Samples

44.0ms

256×

valid

Compiler

Compiled 118 to 22 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 9.0ms (39.6% of total)

ival-div: 4.0ms (17.6% of total)

ival-add: 4.0ms (17.6% of total)

ival-pow: 3.0ms (13.2% of total)

ival-sub: 1.0ms (4.4% of total)

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

exact: 0.0ms (0% of total)

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

series65.0ms (0.9%)

Memory

-16.9MiB live, 86.1MiB allocated

Counts

15 → 288

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 x y) y x) (patch (fma.f64 (.f64 x y) y x) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) (patch #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (+ 1 ( y y)) (.f64 y y))) (patch (.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (* y y)) (.f64 y y)) (patch #s(approx (+ 1 ( y y)) (*.f64 y y)) #<representation binary64>) () ())
#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y y #s(literal 1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y y #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y y #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y y #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 x (fma.f64 y y #s(literal 1 binary64))) (patch (.f64 x (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 y y #s(literal 1 binary64)) (patch (fma.f64 y y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (patch (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (patch (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (.f64 x y) y x) (patch (fma.f64 (.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (.f64 x y) y x) (patch (fma.f64 (.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (.f64 x y) y x) (patch (fma.f64 (.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (.f64 x y) y x) (patch (fma.f64 (.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) (patch #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) (patch #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) (patch #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) (patch #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (.f64 x #s(approx (+ 1 ( y y)) (.f64 y y))) (patch (.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 x #s(approx (+ 1 ( y y)) (.f64 y y))) (patch (.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 x #s(approx (+ 1 ( y y)) (.f64 y y))) (patch (.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 x #s(approx (+ 1 ( y y)) (.f64 y y))) (patch (.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (+ 1 (* y y)) (.f64 y y)) (patch #s(approx (+ 1 ( y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt #s(approx (+ 1 (* y y)) (.f64 y y)) (patch #s(approx (+ 1 ( y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt #s(approx (+ 1 (* y y)) (.f64 y y)) (patch #s(approx (+ 1 ( y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt #s(approx (+ 1 (* y y)) (.f64 y y)) (patch #s(approx (+ 1 ( y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
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#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor 0 x) (#s(alt (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor 0 x) (#s(alt (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor 0 x) (#s(alt (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (pow y 4) 1)) (taylor 0 x) (#s(alt (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (patch (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (pow y 4) 1)) (taylor 0 x) (#s(alt (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (patch (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (pow y 4) 1)) (taylor 0 x) (#s(alt (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (patch (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (pow y 4) 1)) (taylor 0 x) (#s(alt (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (patch (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (.f64 x y) y x) (patch (fma.f64 (.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (.f64 x y) y x) (patch (fma.f64 (.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (.f64 x y) y x) (patch (fma.f64 (.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (.f64 x y) y x) (patch (fma.f64 (.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (+ 1 ( y y)) (.f64 y y))) (patch (.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (+ 1 ( y y)) (.f64 y y))) (patch (.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (+ 1 ( y y)) (.f64 y y))) (patch (.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (+ 1 ( y y)) (.f64 y y))) (patch (.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y y #s(literal 1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y y #s(literal 1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y y #s(literal 1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y y #s(literal 1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ 1 (pow y 2)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y y #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ 1 (pow y 2)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y y #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ 1 (pow y 2)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y y #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ 1 (pow y 2)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y y #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (.f64 x (fma.f64 y y #s(literal 1 binary64))) (patch (.f64 x (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (.f64 x (fma.f64 y y #s(literal 1 binary64))) (patch (.f64 x (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (.f64 x (fma.f64 y y #s(literal 1 binary64))) (patch (.f64 x (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (.f64 x (fma.f64 y y #s(literal 1 binary64))) (patch (.f64 x (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor inf x) (#s(alt (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor inf x) (#s(alt (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor inf x) (#s(alt (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor inf x) (#s(alt (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (pow y 4) 1)) (taylor inf x) (#s(alt (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (patch (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (pow y 4) 1)) (taylor inf x) (#s(alt (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (patch (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (pow y 4) 1)) (taylor inf x) (#s(alt (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (patch (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (pow y 4) 1)) (taylor inf x) (#s(alt (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (patch (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x y) y x) (patch (fma.f64 (.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x y) y x) (patch (fma.f64 (.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x y) y x) (patch (fma.f64 (.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x y) y x) (patch (fma.f64 (.f64 x y) y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64))) (patch (.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (+ 1 ( y y)) (.f64 y y))) (patch (.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (+ 1 ( y y)) (.f64 y y))) (patch (.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (+ 1 ( y y)) (.f64 y y))) (patch (.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (+ 1 ( y y)) (.f64 y y))) (patch (.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y y #s(literal 1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y y #s(literal 1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y y #s(literal 1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y y #s(literal 1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ 1 (pow y 2)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y y #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ 1 (pow y 2)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y y #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ 1 (pow y 2)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y y #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ 1 (pow y 2)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y y #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 y y #s(literal 1 binary64))) (patch (.f64 x (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 y y #s(literal 1 binary64))) (patch (.f64 x (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 y y #s(literal 1 binary64))) (patch (.f64 x (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (.f64 x (fma.f64 y y #s(literal 1 binary64))) (patch (.f64 x (fma.f64 y y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (pow y 4) 1)) (taylor -inf x) (#s(alt (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (patch (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (pow y 4) 1)) (taylor -inf x) (#s(alt (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (patch (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (pow y 4) 1)) (taylor -inf x) (#s(alt (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (patch (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (pow y 4) 1)) (taylor -inf x) (#s(alt (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (patch (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
46.0ms	x	@	inf	((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (* x (+ (* y y) 1)) (+ (* y y) 1) (/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4))
3.0ms	x	@	-inf	((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (* x (+ (* y y) 1)) (+ (* y y) 1) (/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4))
3.0ms	y	@	inf	((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (* x (+ (* y y) 1)) (+ (* y y) 1) (/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4))
2.0ms	x	@	0	((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (* x (+ (* y y) 1)) (+ (* y y) 1) (/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4))
2.0ms	y	@	-inf	((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* y y) (/ 1 (/ 1 (* x (+ (* y y) 1)))) (/ 1 (* x (+ (* y y) 1))) (* x (+ (* y y) 1)) (+ (* y y) 1) (/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4))

simplify787.0ms (11.5%)

Memory

10.7MiB live, 242.4MiB allocated

Algorithm

1×	egg-herbie

Rules

18 354×	`lower-fma.f64`
18 354×	`lower-fma.f32`
4 458×	`lower-*.f64`
4 458×	`lower-*.f32`
2 106×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	1868
1	163	1845
2	402	1841
3	1297	1831
4	3601	1815
0	8656	1641

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 282

Calls

Call 1

Inputs
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(* x y)
(* x y)
(* x y)
(* x y)
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
1
(+ 1 (pow y 2))
(+ 1 (pow y 2))
(+ 1 (pow y 2))
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
1
(+ 1 (pow y 2))
(+ 1 (pow y 2))
(+ 1 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(/ 1 x)
(+ (* -1 (/ (pow y 2) x)) (/ 1 x))
(+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
1
(+ 1 (pow y 2))
(+ 1 (pow y 2))
(+ 1 (pow y 2))
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(* -1 x)
(+ (* -1 x) (* x (pow y 4)))
(+ (* -1 x) (* x (pow y 4)))
(+ (* -1 x) (* x (pow y 4)))
-1
(- (pow y 4) 1)
(- (pow y 4) 1)
(- (pow y 4) 1)
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(/ 1 (* x (pow y 2)))
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* x (pow y 4))
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(pow y 4)
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(/ 1 (* x (pow y 2)))
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* x (pow y 4))
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(pow y 4)
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(pow y 4)
(pow y 4)
(pow y 4)
(pow y 4)
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))

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

rewrite427.0ms (6.2%)

Memory

-20.7MiB live, 383.1MiB allocated

Rules

5 758×	`lower-fma.f32`
5 752×	`lower-fma.f64`
4 958×	`lower-*.f32`
4 946×	`lower-*.f64`
3 696×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	103
0	38	89
1	151	89
2	926	89
0	8758	89

Stop Event

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

Counts

15 → 1 721

Calls

Call 1

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

Outputs
(.f64 (.f64 (*.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))))
(.f64 (.f64 (*.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) x)
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eval346.0ms (5%)

Memory: 42.1MiB live, 415.2MiB allocated
Compiler: Compiled 41 071 to 3 588 computations (91.3% saved)

prune212.0ms (3.1%)

Memory

-34.3MiB live, 339.2MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	2 000	3	2 003
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	2 003	6	2 009

Accuracy

100.0%

Counts

2 009 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x y) y x)
▶	64.4%	(/.f64 (.f64 (fma.f64 (.f64 y y) (*.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
▶	47.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ ( y y) 1) (*.f64 y y)))))
▶	47.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)))
✓	47.8%	(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))
✓	50.1%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))

Compiler

Compiled 51 to 38 computations (25.5% saved)

simplify119.0ms (1.7%)

Memory

15.9MiB live, 208.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 y y #s(literal -1 binary64))
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 (fma.f64 (.f64 y y) (*.f64 y y) #s(literal -1 binary64)) x)
cost-diff	7360	(/.f64 (.f64 (fma.f64 (.f64 y y) (*.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
cost-diff	0	(*.f64 y y)
cost-diff	0	#s(approx (+ (* y y) 1) (*.f64 y y))
cost-diff	0	(.f64 x #s(approx (+ ( y y) 1) (*.f64 y y)))
cost-diff	1792	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ ( y y) 1) (*.f64 y y)))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 y y))
cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
cost-diff	0	#s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)))

Rules

10 280×	`lower-fma.f32`
10 276×	`lower-fma.f64`
4 194×	`lower-*.f32`
4 188×	`lower-*.f64`
2 472×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	151
0	33	147
1	66	144
2	121	138
3	349	133
4	1589	133
5	5818	133
0	8332	126

Stop Event

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

Calls

Call 1

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

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

localize67.0ms (1%)

Memory

28.2MiB live, 65.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0.0625	(fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64))
accuracy	2.1534836669928237	(.f64 (fma.f64 (.f64 y y) (*.f64 y y) #s(literal -1 binary64)) x)
accuracy	17.634327556472687	(/.f64 (.f64 (fma.f64 (.f64 y y) (*.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
accuracy	0.15234375	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ ( y y) 1) (*.f64 y y)))))
accuracy	0.41181608371212025	(/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ ( y y) 1) (*.f64 y y))))
accuracy	3.845764255779845	(.f64 x #s(approx (+ ( y y) 1) (*.f64 y y)))
accuracy	29.77337983734495	#s(approx (+ (* y y) 1) (*.f64 y y))
accuracy	0.15234375	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)))
accuracy	0.21998842639655133	(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy	5.110094115844293	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
accuracy	29.55479461982601	#s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x))

Samples

56.0ms

256×

valid

Compiler

Compiled 126 to 18 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-div: 35.0ms (78.2% of total)

ival-mult: 6.0ms (13.4% of total)

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

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

exact: 0.0ms (0% of total)

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

series26.0ms (0.4%)

Memory

1.9MiB live, 39.1MiB allocated

Counts

13 → 252

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 ( x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)) (patch #s(approx (/ 1 ( x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 y y)) (patch (/.f64 #s(literal 1 binary64) (.f64 y y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ ( y y) 1) (.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())
#s(alt (.f64 x #s(approx (+ ( y y) 1) (.f64 y y))) (patch (.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* y y) 1) (.f64 y y)) (patch #s(approx (+ ( y y) 1) (*.f64 y y)) #<representation binary64>) () ())
#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) (patch (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ ( y y) 1) (.f64 y y)))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) (patch (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) #<representation binary64>) () ())

Outputs
#s(alt x (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 ( x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 ( x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 ( x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 ( x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 y) (#s(alt #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)) (patch #s(approx (/ 1 ( x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow y 2) x)) (/ 1 x)) (taylor 0 y) (#s(alt #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)) (patch #s(approx (/ 1 ( x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x)) (taylor 0 y) (#s(alt #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)) (patch #s(approx (/ 1 ( x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x)) (taylor 0 y) (#s(alt #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)) (patch #s(approx (/ 1 ( x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 y y)) (patch (/.f64 #s(literal 1 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 y y)) (patch (/.f64 #s(literal 1 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 y y)) (patch (/.f64 #s(literal 1 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 y y)) (patch (/.f64 #s(literal 1 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ ( y y) 1) (.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ ( y y) 1) (.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ ( y y) 1) (.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ ( y y) 1) (.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (.f64 x #s(approx (+ ( y y) 1) (.f64 y y))) (patch (.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 x #s(approx (+ ( y y) 1) (.f64 y y))) (patch (.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 x #s(approx (+ ( y y) 1) (.f64 y y))) (patch (.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 x #s(approx (+ ( y y) 1) (.f64 y y))) (patch (.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (+ (* y y) 1) (.f64 y y)) (patch #s(approx (+ ( y y) 1) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt #s(approx (+ (* y y) 1) (.f64 y y)) (patch #s(approx (+ ( y y) 1) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt #s(approx (+ (* y y) 1) (.f64 y y)) (patch #s(approx (+ ( y y) 1) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt #s(approx (+ (* y y) 1) (.f64 y y)) (patch #s(approx (+ ( y y) 1) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) (patch (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* x (pow y 4))) (taylor 0 y) (#s(alt (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) (patch (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* x (pow y 4))) (taylor 0 y) (#s(alt (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) (patch (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (* x (pow y 4))) (taylor 0 y) (#s(alt (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) (patch (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 y) (#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow y 2) 1) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow y 2) 1) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (/ 1 (* x (+ 1 (pow y 2)))) (taylor inf x) (#s(alt #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)) (patch #s(approx (/ 1 ( x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ 1 (pow y 2)))) (taylor inf x) (#s(alt #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)) (patch #s(approx (/ 1 ( x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (pow y 2))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (pow y 2))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (pow y 2))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (pow y 2))) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ ( y y) 1) (.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ ( y y) 1) (.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ ( y y) 1) (.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ ( y y) 1) (.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (+ ( y y) 1) (.f64 y y))) (patch (.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (+ ( y y) 1) (.f64 y y))) (patch (.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (+ ( y y) 1) (.f64 y y))) (patch (.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (.f64 x #s(approx (+ ( y y) 1) (.f64 y y))) (patch (.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor inf x) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor inf x) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor inf x) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor inf x) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (pow y 4) 1)) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) (patch (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (pow y 4) 1)) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) (patch (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (pow y 4) 1)) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) (patch (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (pow y 4) 1)) (taylor inf x) (#s(alt (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) (patch (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ 1 (pow y 2)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ ( y y) 1) (.f64 y y)))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ 1 (pow y 2)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ ( y y) 1) (.f64 y y)))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ 1 (pow y 2)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ ( y y) 1) (.f64 y y)))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ 1 (pow y 2)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ ( y y) 1) (.f64 y y)))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 ( x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 ( x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 ( x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 ( x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ 1 (pow y 2)))) (taylor -inf x) (#s(alt #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)) (patch #s(approx (/ 1 ( x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ 1 (pow y 2)))) (taylor -inf x) (#s(alt #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)) (patch #s(approx (/ 1 ( x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ 1 (pow y 2)))) (taylor -inf x) (#s(alt #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)) (patch #s(approx (/ 1 ( x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ 1 (pow y 2)))) (taylor -inf x) (#s(alt #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)) (patch #s(approx (/ 1 ( x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (pow y 2))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (pow y 2))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (pow y 2))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (pow y 2))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x) (patch (/.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ ( y y) 1) (.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ ( y y) 1) (.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ ( y y) 1) (.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ ( y y) 1) (.f64 y y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (+ ( y y) 1) (.f64 y y))) (patch (.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (+ ( y y) 1) (.f64 y y))) (patch (.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (+ ( y y) 1) (.f64 y y))) (patch (.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor -inf x) (#s(alt (.f64 x #s(approx (+ ( y y) 1) (.f64 y y))) (patch (.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (pow y 4) 1)) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (pow y 4) 1)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) (patch (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (pow y 4) 1)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) (patch (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (pow y 4) 1)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) (patch (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (pow y 4) 1)) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) (patch (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ 1 (pow y 2)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ ( y y) 1) (.f64 y y)))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ 1 (pow y 2)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ ( y y) 1) (.f64 y y)))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ 1 (pow y 2)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ ( y y) 1) (.f64 y y)))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ 1 (pow y 2)))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ ( y y) 1) (.f64 y y)))) (patch (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ (* y y) 1) (*.f64 y y)))) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify193.0ms (2.8%)

Memory

-29.8MiB live, 215.5MiB allocated

Algorithm

1×	egg-herbie

Rules

17 132×	`lower-fma.f64`
17 132×	`lower-fma.f32`
3 318×	`lower-*.f64`
3 318×	`lower-*.f32`
3 050×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	1936
1	156	1911
2	384	1903
3	1214	1879
4	3648	1851
5	7837	1851
0	8247	1707

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 248

Calls

Call 1

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

rewrite279.0ms (4.1%)

Memory

14.0MiB live, 243.6MiB allocated

Rules

6 286×	`lower-fma.f32`
6 282×	`lower-fma.f64`
5 104×	`lower-*.f32`
5 098×	`lower-*.f64`
3 944×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	136
0	33	129
1	143	110
2	896	110
0	8644	103

Stop Event

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

Counts

13 → 1 283

Calls

Call 1

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

Outputs
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)) #s(literal -1/2 binary64))) (pow.f64 #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 #s(approx (/ 1 ( x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)) #s(literal -1/2 binary64)) (.f64 (pow.f64 #s(approx (/ 1 ( x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 #s(approx (/ 1 ( x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)) #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x))) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 ( x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x))))
(.f64 (pow.f64 #s(approx (/ 1 ( x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ 1 ( x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)))) #s(literal -1 binary64))
(pow.f64 (.f64 #s(approx (/ 1 ( x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 ( x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x))) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x))))
(exp.f64 (.f64 (log.f64 #s(approx (/ 1 ( x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x))) #s(literal -1 binary64)))
(.f64 (neg.f64 #s(approx (/ 1 ( x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x))) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ 1 ( x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x))))
(.f64 #s(approx (/ 1 ( x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) #s(approx (/ 1 ( x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)))
(pow.f64 (pow.f64 #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x)) #s(literal 1 binary64))
#s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x))
(/.f64 (neg.f64 #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 y #s(literal -2 binary64)) x))))
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(expm1.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))
(expm1.f64 (*.f64 #s(literal 4 binary64) (log.f64 y)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(+.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) (.f64 y y)) (fma.f64 y y #s(literal -1 binary64)))
(+.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y)))
(+.f64 (.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y)) (.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y)) (fma.f64 (neg.f64 y) y #s(literal -1 binary64)))
(+.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) (fma.f64 y y #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) (*.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y)))
(+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))
(+.f64 (fma.f64 y y #s(literal -1 binary64)) (.f64 (fma.f64 y y #s(literal -1 binary64)) (.f64 y y)))
(+.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)))
(+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))

eval228.0ms (3.3%)

Memory: 50.8MiB live, 346.5MiB allocated
Compiler: Compiled 33 428 to 4 036 computations (87.9% saved)

prune276.0ms (4%)

Memory

-31.1MiB live, 498.4MiB allocated

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	1 656	4	1 660
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	1 656	10	1 666

Accuracy

100.0%

Counts

1 666 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x y) y x)
✓	64.4%	(/.f64 (.f64 (fma.f64 (.f64 y y) (*.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
▶	16.3%	(/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) #s(approx (+ ( y y) -1) (*.f64 y y)))
✓	47.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ ( y y) 1) (*.f64 y y)))))
▶	53.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) y)))
✓	47.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)))
▶	53.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 y))))
▶	53.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x y)))))
✓	47.8%	(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))
✓	50.1%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))

Compiler

Compiled 101 to 76 computations (24.8% saved)

simplify131.0ms (1.9%)

Memory

-13.3MiB live, 161.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* y y) -1) (*.f64 y y))
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 (fma.f64 (.f64 y y) (*.f64 y y) #s(literal -1 binary64)) x)
cost-diff	0	(/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) #s(approx (+ ( y y) -1) (*.f64 y y)))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) y))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) y)))
cost-diff	704	(/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) y)
cost-diff	0	(pow.f64 x #s(literal -1 binary64))
cost-diff	0	#s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 y)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 y))))
cost-diff	6080	(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
cost-diff	0	(pow.f64 y #s(literal -1 binary64))
cost-diff	0	#s(approx (/ 1 (* x (+ (* y y) 1))) (.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x y))))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x y)))))
cost-diff	6784	(.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x y)))

Rules

10 784×	`lower-fma.f32`
10 782×	`lower-fma.f64`
3 176×	`lower-*.f32`
3 164×	`lower-*.f64`
1 902×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	243
0	53	246
1	98	223
2	185	217
3	466	199
4	1437	199
5	4148	199
6	6104	199
0	8276	191

Stop Event

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

Calls

Call 1

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

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

localize177.0ms (2.6%)

Memory

0.6MiB live, 155.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0625	(fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64))
accuracy	2.1534836669928237	(.f64 (fma.f64 (.f64 y y) (*.f64 y y) #s(literal -1 binary64)) x)
accuracy	17.634327556472687	(/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) #s(approx (+ ( y y) -1) (*.f64 y y)))
accuracy	30.319580560320937	#s(approx (+ (* y y) -1) (*.f64 y y))
accuracy	0.12890625	(/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) y)
accuracy	0.15234375	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) y)))
accuracy	0.27094010577701627	(pow.f64 (*.f64 y x) #s(literal -1 binary64))
accuracy	29.55479461982601	#s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) y))
accuracy	0.12890625	(/.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 y))
accuracy	0.15234375	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 y))))
accuracy	0.25	(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
accuracy	29.55479461982601	#s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 y)))
accuracy	0.15234375	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x y)))))
accuracy	0.19207001953688405	(.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x y)))
accuracy	0.27094010577701627	(/.f64 #s(literal 1 binary64) (*.f64 x y))
accuracy	29.55479461982601	#s(approx (/ 1 (* x (+ (* y y) 1))) (.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x y))))

Samples

132.0ms

256×

valid

Compiler

Compiled 182 to 28 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 117.0ms

ival-div: 89.0ms (76.3% of total)

ival-mult: 15.0ms (12.9% of total)

ival-pow: 7.0ms (6% of total)

ival-add: 4.0ms (3.4% of total)

ival-neg: 1.0ms (0.9% of total)

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

exact: 0.0ms (0% of total)

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

series33.0ms (0.5%)

Memory

-6.4MiB live, 67.9MiB allocated

Counts

20 → 420

Calls

Call 1

Inputs
#s(alt (.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x y))) (patch (.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x y))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x y))))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (* x (+ (* y y) 1))) (.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x y)))) (patch #s(approx (/ 1 (* x (+ (* y y) 1))) (.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x y)))) #<representation binary64>) () ())
#s(alt (pow.f64 y #s(literal -1 binary64)) (patch (pow.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) (patch (.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 y)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 ( x (+ (* y y) 1))) (/.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 y)))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 y))) (patch #s(approx (/ 1 ( x (+ (* y y) 1))) (/.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 y))) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) y) (patch (/.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 ( x (+ (* y y) 1))) (/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) y))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) y)) (patch #s(approx (/ 1 ( x (+ (* y y) 1))) (/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) y)) #<representation binary64>) () ())
#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) #s(approx (+ ( y y) -1) (.f64 y y))) (patch (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) #s(approx (+ (* y y) -1) (*.f64 y y))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) (patch (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())
#s(alt #s(approx (+ (* y y) -1) (.f64 y y)) (patch #s(approx (+ ( y y) -1) (*.f64 y y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 y)) (patch (/.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 y x) #s(literal -1 binary64)) (patch (pow.f64 (.f64 y x) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) (patch (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (/ 1 (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x y))) (patch (.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (pow y 2))) (taylor 0 y) (#s(alt (.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x y))) (patch (.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
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Calls

6 calls:

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

simplify275.0ms (4%)

Memory

11.1MiB live, 207.8MiB allocated

Algorithm

1×	egg-herbie

Rules

18 910×	`lower-fma.f64`
18 910×	`lower-fma.f32`
4 046×	`lower-*.f64`
4 046×	`lower-*.f32`
2 208×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	2980
1	154	2953
2	369	2941
3	986	2905
4	3643	2899
5	7910	2899
0	8593	2755

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 416

Calls

Call 1

Inputs
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(/ 1 x)
(+ (* -1 (/ (pow y 2) x)) (/ 1 x))
(+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(/ 1 x)
(+ (* -1 (/ (pow y 2) x)) (/ 1 x))
(+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(/ 1 x)
(+ (* -1 (/ (pow y 2) x)) (/ 1 x))
(+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))
(* x y)
(* x y)
(* x y)
(* x y)
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(* -1 x)
(+ (* -1 x) (* x (pow y 4)))
(+ (* -1 x) (* x (pow y 4)))
(+ (* -1 x) (* x (pow y 4)))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
-1
(- (pow y 2) 1)
(- (pow y 2) 1)
(- (pow y 2) 1)
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
-1
(- (pow y 4) 1)
(- (pow y 4) 1)
(- (pow y 4) 1)
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(/ 1 (* x (pow y 2)))
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(/ 1 (* x (pow y 2)))
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(/ 1 (* x (pow y 2)))
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* x (pow y 4))
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(pow y 4)
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(/ 1 (* x (pow y 2)))
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(/ 1 (* x (pow y 2)))
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(/ 1 (* x (pow y 2)))
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* x (pow y 4))
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(pow y 4)
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(* x (+ 1 (pow y 2)))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))

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

rewrite246.0ms (3.6%)

Memory

-1.1MiB live, 243.5MiB allocated

Rules

5 722×	`lower-fma.f32`
5 720×	`lower-fma.f64`
4 972×	`lower-*.f32`
4 960×	`lower-*.f64`
3 510×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	220
0	53	202
1	206	194
2	1085	176
0	8933	168

Stop Event

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

Counts

20 → 1 289

Calls

Call 1

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

Outputs
(.f64 (.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x) y) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(.f64 (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) y) (pow.f64 (.f64 x y) #s(literal -1/4 binary64))) (pow.f64 (*.f64 x y) #s(literal -1/4 binary64)))
(.f64 (.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(.f64 (.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
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eval275.0ms (4%)

Memory: 42.9MiB live, 409.5MiB allocated
Compiler: Compiled 31 329 to 3 931 computations (87.5% saved)

prune172.0ms (2.5%)

Memory

-8.3MiB live, 395.5MiB allocated

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	1 815	4	1 819
Fresh	0	0	0
Picked	3	1	4
Done	0	6	6
Total	1 818	11	1 829

Accuracy

100.0%

Counts

1 829 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x y) y x)
✓	64.4%	(/.f64 (.f64 (fma.f64 (.f64 y y) (*.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
✓	16.3%	(/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) #s(approx (+ ( y y) -1) (*.f64 y y)))
✓	47.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x #s(approx (+ ( y y) 1) (*.f64 y y)))))
	53.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) y)))
✓	47.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)))
	53.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) y)))
	53.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (/.f64 #s(approx (pow (* y x) -1) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y)))
	53.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* y y) 1))) (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 x y)))))
✓	47.8%	(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))
✓	50.1%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))

Compiler

Compiled 294 to 155 computations (47.3% saved)

regimes30.0ms (0.4%)

Memory

-8.9MiB live, 67.7MiB allocated

Counts

18 → 1

Calls

Call 1

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

Outputs
(fma.f64 (*.f64 x y) y x)

Calls

5 calls:

7.0ms	x
6.0ms	(+.f64 #s(literal 1 binary64) (*.f64 y y))
5.0ms	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
5.0ms	y
5.0ms	(*.f64 y y)

Results

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

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes8.0ms (0.1%)

Memory

21.9MiB live, 21.9MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))

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

Calls

5 calls:

2.0ms	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
2.0ms	y
1.0ms	x
1.0ms	(*.f64 y y)
1.0ms	(+.f64 #s(literal 1 binary64) (*.f64 y y))

Results

Accuracy	Segments	Branch
60.2%	4	`x`
92.8%	2	`y`
80.6%	4	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
92.8%	2	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
92.8%	2	`(*.f64 y y)`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes11.0ms (0.2%)

Memory

-20.3MiB live, 23.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))

Outputs
(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))

Calls

5 calls:

5.0ms	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
1.0ms	x
1.0ms	y
1.0ms	(*.f64 y y)
1.0ms	(+.f64 #s(literal 1 binary64) (*.f64 y y))

Results

Accuracy	Segments	Branch
50.1%	1	`x`
50.1%	1	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
50.1%	1	`y`
50.1%	1	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
50.1%	1	`(*.f64 y y)`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

bsearch8.0ms (0.1%)

Memory

27.1MiB live, 27.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	0.31836150863302876	5.070459203005629

Samples

3.0ms

96×

valid

Compiler

Compiled 58 to 77 computations (-32.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-add: 1.0ms (78.6% of total)

ival-mult: 1.0ms (78.6% of total)

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

exact: 0.0ms (0% of total)

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

simplify26.0ms (0.4%)

Memory

-11.7MiB live, 61.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`-commutative-binary64-.f64`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	41
1	20	41

Stop Event

1×

saturated

Calls

Call 1

Inputs

(fma.f64 (*.f64 x y) y x)

(if (<=.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (*.f64 x #s(approx (+ 1 (* y y)) (*.f64 y y))))

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

Outputs
(fma.f64 (*.f64 x y) y x)
(fma.f64 (*.f64 y x) y x)
(if (<=.f64 (.f64 y y) #s(literal 1 binary64)) (.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) (.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y))))
(if (<=.f64 (.f64 y y) #s(literal 1 binary64)) (.f64 #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) x) (.f64 #s(approx (+ 1 ( y y)) (*.f64 y y)) x))
(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
(.f64 #s(approx (+ 1 ( y y)) #s(literal 1 binary64)) x)

soundness494.0ms (7.2%)

Memory

-22.6MiB live, 287.4MiB allocated

Rules

9 064×	`lower-fma.f64`
9 064×	`lower-fma.f32`
6 574×	`lower-*.f64`
6 574×	`lower-*.f32`
5 176×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	34	15
2	209	15
3	1404	15
0	8269	13
0	15	246
1	42	246
2	74	246
3	214	246
4	721	246
5	1940	246
6	2658	246
7	3752	246
8	5094	246
9	5986	246
10	6927	246
11	7270	246
12	7376	246
13	7453	246
14	7522	246
15	7669	246
0	8207	216

Stop Event

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

Compiler

Compiled 50 to 32 computations (36% saved)

preprocess91.0ms (1.3%)

Memory

-17.7MiB live, 99.3MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 152 to 94 computations (38.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	37
1	65	37
2	194	35
3	463	35
4	639	35
5	762	35
6	789	35
0	6	7
0	9	7
1	19	7
2	27	7
3	49	7
4	49	7
0	49	6

Iter	Nodes	Cost
0	16	37
1	65	37
2	194	35
3	463	35
4	639	35
5	762	35
6	789	35
0	6	7
0	9	7
1	19	7
2	27	7
3	49	7
4	49	7
0	49	6

start0.0ms (0%)

analyze0.0ms (0%)

sample923.0ms (13.4%)

explain90.0ms (1.3%)

preprocess30.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize17.0ms (0.3%)

series5.0ms (0.1%)

simplify211.0ms (3.1%)

rewrite181.0ms (2.6%)

eval88.0ms (1.3%)

prune83.0ms (1.2%)

simplify181.0ms (2.6%)

localize57.0ms (0.8%)

series65.0ms (0.9%)

simplify787.0ms (11.5%)

rewrite427.0ms (6.2%)

eval346.0ms (5%)

prune212.0ms (3.1%)

simplify119.0ms (1.7%)

localize67.0ms (1%)

series26.0ms (0.4%)

simplify193.0ms (2.8%)

rewrite279.0ms (4.1%)

eval228.0ms (3.3%)

prune276.0ms (4%)

simplify131.0ms (1.9%)

localize177.0ms (2.6%)

series33.0ms (0.5%)

simplify275.0ms (4%)

rewrite246.0ms (3.6%)

eval275.0ms (4%)

prune172.0ms (2.5%)

regimes30.0ms (0.4%)

regimes8.0ms (0.1%)

regimes11.0ms (0.2%)

bsearch8.0ms (0.1%)

simplify26.0ms (0.4%)

soundness494.0ms (7.2%)

preprocess91.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	37
1	65	37
2	194	35
3	463	35
4	639	35
5	762	35
6	789	35
0	6	7
0	9	7
1	19	7
2	27	7
3	49	7
4	49	7
0	49	6