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

0.7MiB live, 0.7MiB 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)

sample666.0ms (8.1%)

Memory

-0.0MiB live, 873.3MiB allocated

Samples

399.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 220.0ms

ival-mult: 142.0ms (64.7% of total)

ival-add: 66.0ms (30.1% of total)

ival-true: 5.0ms (2.3% of total)

exact: 4.0ms (1.8% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

explain90.0ms (1.1%)

Memory

-8.4MiB live, 107.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
14	-	-	`(.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**	14	0

Confusion

	Predicted +	Predicted -
+	14	0
-	0	242

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	14	0	0
-	0	0	242

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	242
1	14

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

22.0ms

512×

valid

Compiler

Compiled 49 to 22 computations (55.1% saved)

Precisions

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

ival-mult: 7.0ms (72.3% of total)

ival-add: 2.0ms (20.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess36.0ms (0.4%)

Memory

-5.8MiB live, 34.6MiB 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)))
(fma.f64 y (*.f64 x y) x)

Symmetry

(abs y)

(negabs x)

Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify5.0ms (0.1%)

Memory

2.9MiB live, 2.9MiB 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)))
(fma.f64 y (*.f64 x y) 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

localize16.0ms (0.2%)

Memory

19.8MiB live, 19.8MiB 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	3.3672365733556866	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

Samples

10.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-mult: 3.0ms (68% of total)

ival-add: 1.0ms (22.7% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0%)

Memory

3.9MiB live, 3.9MiB 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 (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 (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 (+ 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>) () ())) ())
#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 (* 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 (* 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 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 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 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>) () ())) ())

Calls

12 calls:

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

simplify599.0ms (7.3%)

Memory

-29.8MiB live, 346.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 064×	`lower-fma.f64`
9 064×	`lower-fma.f32`
6 574×	`lower-*.f64`
6 574×	`lower-*.f32`
2 468×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	246
1	42	246
2	74	246
3	212	246
4	695	246
5	1887	246
6	2663	246
7	3730	246
8	5074	246
9	5970	246
10	6935	246
11	7278	246
12	7397	246
13	7474	246
14	7543	246
15	7690	246
0	8226	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))
(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) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 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)))
(* x (+ 1 (pow y 2)))
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* 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))))
(* 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)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(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))
(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) (+ 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 (+ 1 (pow y 2)))
(fma.f64 y (*.f64 y x) x)
(* x (+ 1 (pow y 2)))
(fma.f64 y (*.f64 y x) x)
(* x (+ 1 (pow y 2)))
(fma.f64 y (*.f64 y x) x)
(* x (+ 1 (pow y 2)))
(fma.f64 y (*.f64 y x) x)
(* x (+ 1 (pow y 2)))
(fma.f64 y (*.f64 y x) x)
(* x (+ 1 (pow y 2)))
(fma.f64 y (*.f64 y x) x)
(* x (+ 1 (pow y 2)))
(fma.f64 y (*.f64 y x) x)
(* x (+ 1 (pow y 2)))
(fma.f64 y (*.f64 y x) x)
(* x (+ 1 (pow y 2)))
(fma.f64 y (*.f64 y x) x)
(* x (+ 1 (pow y 2)))
(fma.f64 y (*.f64 y x) x)
(* x (+ 1 (pow y 2)))
(fma.f64 y (*.f64 y x) x)
(* x (+ 1 (pow y 2)))
(fma.f64 y (*.f64 y x) x)
x
(+ x (* x (pow y 2)))
(fma.f64 y (*.f64 y x) x)
(+ x (* x (pow y 2)))
(fma.f64 y (*.f64 y x) x)
(+ x (* x (pow y 2)))
(fma.f64 y (*.f64 y x) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(fma.f64 y (*.f64 y x) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(fma.f64 y (*.f64 y x) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(fma.f64 y (*.f64 y x) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(fma.f64 y (*.f64 y x) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(fma.f64 y (*.f64 y x) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(fma.f64 y (*.f64 y x) x)
(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)
(*.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)
(*.f64 y y)
(pow y 2)
(*.f64 y y)

rewrite292.0ms (3.6%)

Memory

18.8MiB live, 360.3MiB 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 #s(literal 1 binary64) (*.f64 y y))
(+.f64 (*.f64 y y) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y y))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(+.f64 (/.f64 (.f64 y (.f64 y (*.f64 y y))) (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (.f64 y (.f64 y (fma.f64 y y #s(literal -1 binary64)))))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y)))) (-.f64 #s(literal -1 binary64) (neg.f64 (.f64 y y)))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 y y #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(-.f64 (/.f64 (.f64 y (.f64 y (*.f64 y y))) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (fma.f64 (.f64 y y) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y (.f64 y y))) (fma.f64 y (.f64 y (.f64 y y)) #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 (/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (fma.f64 (.f64 y (.f64 y (.f64 y y))) (fma.f64 y (.f64 y (.f64 y y)) #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y (.f64 y y)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (fma.f64 y (.f64 y (.f64 y y)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (.f64 y (.f64 y (fma.f64 y y #s(literal -1 binary64)))))) (/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (.f64 y (.f64 y (fma.f64 y y #s(literal -1 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (neg.f64 (.f64 y y)))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y)))) (-.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y y)))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 y y) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (fma.f64 (.f64 y y) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (*.f64 y y)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (fma.f64 (.f64 y (.f64 y (.f64 y y))) (fma.f64 y (.f64 y (.f64 y y)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (fma.f64 (.f64 y (.f64 y (.f64 y y))) (fma.f64 y (.f64 y (*.f64 y y)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (fma.f64 y (.f64 y (.f64 y y)) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (fma.f64 y (.f64 y (*.f64 y y)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 #s(literal 1 binary64) (.f64 y y)))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 y (.f64 y (.f64 y y)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 #s(literal 1 binary64) (.f64 y y)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 #s(literal 1 binary64) (.f64 y y))))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 #s(literal 1 binary64) (.f64 y y))) (fma.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal 1 binary64) (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal 1 binary64) (.f64 y y))))))) (/.f64 (/.f64 (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 #s(literal 1 binary64) (.f64 y y))))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 #s(literal 1 binary64) (.f64 y y))) (fma.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal 1 binary64) (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y y))))))))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 #s(literal 1 binary64) (.f64 y y))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal 1 binary64) (.f64 y y))))) (/.f64 (.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal 1 binary64) (.f64 y y)))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y y))))))
(fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y y))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y))))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(fma.f64 (.f64 y (.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))))
(fma.f64 (fma.f64 (.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal 1 binary64) (.f64 y y)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (neg.f64 (.f64 y y)))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (fma.f64 (.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal 1 binary64) (.f64 y y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal 1 binary64) (.f64 y y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y))))) (fma.f64 y y #s(literal 1 binary64)) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal 1 binary64) (.f64 y y)))))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y)))) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y y))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y)))) (-.f64 #s(literal -1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 y (.f64 y (fma.f64 y y #s(literal -1 binary64)))))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal 1 binary64) (.f64 y y)))))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (neg.f64 (.f64 y y)))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y)))) (fma.f64 y (.f64 y (.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y (.f64 y y))) (fma.f64 y (.f64 y (.f64 y y)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal 1 binary64) (.f64 y y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y (.f64 y y)) #s(literal 1 binary64)))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y (.f64 y y))) (fma.f64 y (.f64 y (.f64 y y)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal 1 binary64) (.f64 y y)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y (.f64 y y)) #s(literal 1 binary64)))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y)))) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y (.f64 y y))) (fma.f64 y (.f64 y (.f64 y y)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal 1 binary64) (.f64 y y)))))
(fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y)))) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y (.f64 y y)) #s(literal 1 binary64)))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 (.f64 y (.f64 y (*.f64 y y))) (+.f64 y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))))
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 (.f64 y (.f64 y y)) (+.f64 y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))))
(fma.f64 (/.f64 (.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 (.f64 y y) (+.f64 y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))))
(fma.f64 (/.f64 (.f64 y (.f64 y (*.f64 y y))) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))))
(fma.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 y #s(literal 1 binary64))) (/.f64 y (+.f64 y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))))
(fma.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y (.f64 y y))) (fma.f64 y (.f64 y (.f64 y y)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal 1 binary64) (.f64 y y)))))
(fma.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 y y) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y (.f64 y y)) #s(literal 1 binary64)))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(fma.f64 (/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y (.f64 y y))) (fma.f64 y (.f64 y (.f64 y y)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (neg.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
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(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y)))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y)))) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y)))))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y)))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y)))) (-.f64 #s(literal -1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (/.f64 x (-.f64 #s(literal -1 binary64) (.f64 y (.f64 y (fma.f64 y y #s(literal -1 binary64)))))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y)))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y))))))) (/.f64 x (-.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y y)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y)))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y)))) (fma.f64 y (.f64 y (*.f64 y y)) #s(literal -1 binary64)))) (/.f64 x (fma.f64 y y #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y)))) (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y y))))
(.f64 (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y)))) (-.f64 #s(literal -1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 y (*.f64 y (fma.f64 y y #s(literal -1 binary64)))))))
(.f64 (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (neg.f64 (.f64 y y)))))
(.f64 (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y))))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y (.f64 y (.f64 y y)))) (fma.f64 y (.f64 y (.f64 y y)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))))
(.f64 (/.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (.f64 y y) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))))
(.f64 (/.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 y y))) (fma.f64 y y #s(literal 1 binary64))))
(.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 (fma.f64 y (.f64 y (*.f64 y y)) #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal -1 binary64)) (/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 y (.f64 y (*.f64 y y)) #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal -1 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(.f64 #s(literal 1 binary64) (.f64 y y))
(*.f64 y y)
(.f64 (.f64 y y) #s(literal 1 binary64))

eval54.0ms (0.7%)

Memory: 17.8MiB live, 103.6MiB allocated
Compiler: Compiled 15 373 to 1 102 computations (92.8% saved)

prune99.0ms (1.2%)

Memory

-23.0MiB live, 147.5MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	408	7	415
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	409	7	416

Accuracy

100.0%

Counts

416 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (*.f64 y x) y x)
	39.8%	(/.f64 (-.f64 (.f64 (.f64 y y) (.f64 x (.f64 (.f64 y y) x))) (.f64 x x)) (fma.f64 (*.f64 y y) x (neg.f64 x)))
▶	66.5%	(/.f64 (.f64 (fma.f64 y (.f64 y (*.f64 y y)) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
▶	94.7%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))))
	39.7%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) x (neg.f64 x)) (-.f64 (.f64 (.f64 y y) (.f64 x (.f64 (.f64 y y) x))) (*.f64 x x))))
▶	44.1%	(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))
▶	54.9%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))

Compiler

Compiled 202 to 102 computations (49.5% saved)

simplify579.0ms (7.1%)

Memory

-4.7MiB live, 310.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 y (.f64 y y))
cost-diff	0	(fma.f64 y (.f64 y (.f64 y y)) #s(literal -1 binary64))
cost-diff	0	(.f64 (fma.f64 y (.f64 y (*.f64 y y)) #s(literal -1 binary64)) x)
cost-diff	1728	(/.f64 (.f64 (fma.f64 y (.f64 y (*.f64 y y)) #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 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))
cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) (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 y x)
cost-diff	0	(fma.f64 (*.f64 y x) y x)

Rules

17 454×	`lower-fma.f32`
17 446×	`lower-fma.f64`
4 080×	`lower-*.f32`
4 068×	`lower-*.f64`
2 444×	`lower-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	123
0	36	102
1	61	100
2	105	100
3	203	100
4	657	100
5	4215	100
6	6683	100
0	8175	100

Stop Event

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

Calls

Call 1

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

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

localize224.0ms (2.7%)

Memory

20.4MiB live, 58.9MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f64 y (.f64 y (.f64 y y)) #s(literal -1 binary64))
accuracy	0.08203125	(.f64 y (.f64 y y))
accuracy	2.8695692260970183	(.f64 (fma.f64 y (.f64 y (*.f64 y y)) #s(literal -1 binary64)) x)
accuracy	15.91217891767668	(/.f64 (.f64 (fma.f64 y (.f64 y (*.f64 y y)) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
accuracy	0	(fma.f64 y y #s(literal 1 binary64))
accuracy	0.6133589507074292	(/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))
accuracy	2.920445564501025	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))))
accuracy	0	(*.f64 y y)
accuracy	3.3672365733556866	(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))
accuracy	32.71826077222954	#s(approx (+ 1 (* y y)) (*.f64 y y))
accuracy	3.3672365733556866	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
accuracy	29.14779117553517	#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
accuracy	0	(*.f64 y x)
accuracy	0.0625	(fma.f64 (*.f64 y x) y x)

Samples

205.0ms

256×

valid

Compiler

Compiled 122 to 21 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 10.0ms (50.4% of total)

ival-add: 5.0ms (25.2% of total)

ival-div: 4.0ms (20.2% of total)

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

exact: 0.0ms (0% of total)

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

series185.0ms (2.3%)

Memory

-2.3MiB live, 35.5MiB allocated

Counts

14 → 252

Calls

Call 1

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

Outputs
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (.f64 y x) y x) (patch (fma.f64 (.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (.f64 y x) y x) (patch (fma.f64 (.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (.f64 y x) y x) (patch (fma.f64 (.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (.f64 y x) y x) (patch (fma.f64 (.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (fma.f64 (.f64 y x) y x) (patch (fma.f64 (.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (.f64 y x) y x) (patch (fma.f64 (.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (.f64 y x) y x) (patch (fma.f64 (.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (.f64 y x) y x) (patch (fma.f64 (.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (fma.f64 (.f64 y x) y x) (patch (fma.f64 (.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 (.f64 y x) y x) (patch (fma.f64 (.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 (.f64 y x) y x) (patch (fma.f64 (.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 (.f64 y x) y x) (patch (fma.f64 (.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 y x) y x) (patch (fma.f64 (.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 y x) y x) (patch (fma.f64 (.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 y x) y x) (patch (fma.f64 (.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (.f64 y x) y x) (patch (fma.f64 (.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (.f64 y x) y x) (patch (fma.f64 (.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (.f64 y x) y x) (patch (fma.f64 (.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (.f64 y x) y x) (patch (fma.f64 (.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (.f64 y x) y x) (patch (fma.f64 (.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y x) y x) (patch (fma.f64 (.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y x) y x) (patch (fma.f64 (.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y x) y x) (patch (fma.f64 (.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (.f64 y x) y x) (patch (fma.f64 (.f64 y x) y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
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#s(alt (* (pow y 4) (+ x (* -1 (/ x (pow y 4))))) (taylor -inf y) (#s(alt (.f64 (fma.f64 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) x) (patch (.f64 (fma.f64 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (pow y 4) 1)) (taylor 0 x) (#s(alt (.f64 (fma.f64 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) x) (patch (.f64 (fma.f64 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (pow y 4) 1)) (taylor 0 x) (#s(alt (.f64 (fma.f64 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) x) (patch (.f64 (fma.f64 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (pow y 4) 1)) (taylor 0 x) (#s(alt (.f64 (fma.f64 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) x) (patch (.f64 (fma.f64 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (pow y 4) 1)) (taylor 0 x) (#s(alt (.f64 (fma.f64 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) x) (patch (.f64 (fma.f64 y (.f64 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 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) x) (patch (.f64 (fma.f64 y (.f64 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 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) x) (patch (.f64 (fma.f64 y (.f64 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 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) x) (patch (.f64 (fma.f64 y (.f64 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 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) x) (patch (.f64 (fma.f64 y (.f64 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 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) x) (patch (.f64 (fma.f64 y (.f64 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 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) x) (patch (.f64 (fma.f64 y (.f64 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 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) x) (patch (.f64 (fma.f64 y (.f64 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 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) x) (patch (.f64 (fma.f64 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 y) (#s(alt (fma.f64 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) (patch (fma.f64 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow y 4) 1) (taylor 0 y) (#s(alt (fma.f64 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) (patch (fma.f64 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow y 4) 1) (taylor 0 y) (#s(alt (fma.f64 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) (patch (fma.f64 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow y 4) 1) (taylor 0 y) (#s(alt (fma.f64 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) (patch (fma.f64 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow y 4) (taylor inf y) (#s(alt (fma.f64 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) (patch (fma.f64 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- 1 (/ 1 (pow y 4)))) (taylor inf y) (#s(alt (fma.f64 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) (patch (fma.f64 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- 1 (/ 1 (pow y 4)))) (taylor inf y) (#s(alt (fma.f64 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) (patch (fma.f64 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- 1 (/ 1 (pow y 4)))) (taylor inf y) (#s(alt (fma.f64 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) (patch (fma.f64 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow y 4) (taylor -inf y) (#s(alt (fma.f64 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) (patch (fma.f64 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- 1 (/ 1 (pow y 4)))) (taylor -inf y) (#s(alt (fma.f64 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) (patch (fma.f64 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- 1 (/ 1 (pow y 4)))) (taylor -inf y) (#s(alt (fma.f64 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) (patch (fma.f64 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (- 1 (/ 1 (pow y 4)))) (taylor -inf y) (#s(alt (fma.f64 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) (patch (fma.f64 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor 0 y) (#s(alt (.f64 y (.f64 y y)) (patch (.f64 y (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor 0 y) (#s(alt (.f64 y (.f64 y y)) (patch (.f64 y (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor 0 y) (#s(alt (.f64 y (.f64 y y)) (patch (.f64 y (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor 0 y) (#s(alt (.f64 y (.f64 y y)) (patch (.f64 y (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor inf y) (#s(alt (.f64 y (.f64 y y)) (patch (.f64 y (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor inf y) (#s(alt (.f64 y (.f64 y y)) (patch (.f64 y (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor inf y) (#s(alt (.f64 y (.f64 y y)) (patch (.f64 y (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor inf y) (#s(alt (.f64 y (.f64 y y)) (patch (.f64 y (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor -inf y) (#s(alt (.f64 y (.f64 y y)) (patch (.f64 y (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor -inf y) (#s(alt (.f64 y (.f64 y y)) (patch (.f64 y (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor -inf y) (#s(alt (.f64 y (.f64 y y)) (patch (.f64 y (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor -inf y) (#s(alt (.f64 y (.f64 y y)) (patch (.f64 y (.f64 y y)) #<representation binary64>) () ())) ())

Calls

63 calls:

Time	Variable		Point	Expression
167.0ms	y	@	inf	(* y x)
2.0ms	x	@	inf	(/ (* (+ (* y (* y (* y y))) -1) x) (+ (* y y) -1))
1.0ms	x	@	0	(/ (* (+ (* y (* y (* y y))) -1) x) (+ (* y y) -1))
1.0ms	y	@	0	(* y x)
1.0ms	y	@	inf	(/ (* (+ (* y (* y (* y y))) -1) x) (+ (* y y) -1))

simplify258.0ms (3.2%)

Memory

7.4MiB live, 359.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 962×	`lower-fma.f64`
8 962×	`lower-fma.f32`
3 362×	`lower-*.f64`
3 362×	`lower-*.f32`
1 852×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	1542
1	146	1519
2	335	1515
3	959	1511
4	3750	1511
5	7780	1511
0	8181	1378

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 247

Calls

Call 1

Inputs
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* 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))))
(* 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 (+ 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)))
(* -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 y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* 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)))
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* 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))))
(* 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
(+ 1 (pow y 2))
(+ 1 (pow y 2))
(+ 1 (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) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 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)))
(* x (+ 1 (pow y 2)))
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* 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))))
(* 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
(+ 1 (pow y 2))
(+ 1 (pow y 2))
(+ 1 (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) (+ 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)
(pow y 2)
(pow y 2)
(pow y 2)
(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)))
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* 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))))
(* 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
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (pow y 2) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1 (* -1 (pow y 2)))) 1)))
(/ 1 (pow y 2))
(/ (- 1 (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2))
(/ 1 (pow y 2))
(/ (- 1 (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2))
1
(+ 1 (pow y 2))
(+ 1 (pow y 2))
(+ 1 (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) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* 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))))
(* 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) 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)) (- (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)) (- (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))
(* -1 x)
(+ (* -1 x) (* x (pow y 4)))
(+ (* -1 x) (* x (pow y 4)))
(+ (* -1 x) (* x (pow y 4)))
(* 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)))))
(* 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)))))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
(* x (- (pow y 4) 1))
-1
(- (pow y 4) 1)
(- (pow y 4) 1)
(- (pow y 4) 1)
(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) (- 1 (/ 1 (pow y 4))))
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)

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

rewrite340.0ms (4.2%)

Memory

1.1MiB live, 472.2MiB allocated

Rules

9 014×	`lower-fma.f32`
9 006×	`lower-fma.f64`
5 062×	`lower-*.f32`
5 050×	`lower-*.f64`
4 138×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	104
0	36	83
1	139	81
2	907	81
0	8647	81

Stop Event

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

Counts

14 → 1 502

Calls

Call 1

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

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

eval254.0ms (3.1%)

Memory: 14.9MiB live, 362.2MiB allocated
Compiler: Compiled 50 179 to 2 772 computations (94.5% saved)

prune445.0ms (5.4%)

Memory

-242.0MiB live, 307.5MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	1 770	5	1 775
Fresh	2	0	2
Picked	2	3	5
Done	0	0	0
Total	1 774	8	1 782

Accuracy

100.0%

Counts

1 782 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x)
✓	99.9%	(fma.f64 (*.f64 y x) y x)
▶	89.6%	(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64))) x) (+.f64 y #s(literal -1 binary64)))
▶	44.1%	(/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y))))
▶	94.7%	(/.f64 x (*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))) (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))))
▶	99.4%	(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y x) x)) #s(literal -1/2 binary64)))
✓	44.1%	(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))
✓	54.9%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))

Compiler

Compiled 182 to 96 computations (47.3% saved)

simplify225.0ms (2.8%)

Memory

22.2MiB live, 369.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 y (*.f64 y x) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y x) x))
cost-diff	0	(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y x) x)) #s(literal -1/2 binary64))
cost-diff	15360	(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y x) x)) #s(literal -1/2 binary64)))
cost-diff	0	(/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64)))
cost-diff	384	(/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))
cost-diff	1088	(/.f64 x (*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))) (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))))
cost-diff	1408	(*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))) (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
cost-diff	0	(fma.f64 y y #s(literal 1 binary64))
cost-diff	0	(*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64)))
cost-diff	0	(.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64))) x)
cost-diff	1408	(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64))) x) (+.f64 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 #s(literal 1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y)))
cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y))))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x)
cost-diff	1088	(/.f64 y (/.f64 #s(literal 1 binary64) x))

Rules

13 328×	`lower-fma.f32`
13 320×	`lower-fma.f64`
3 180×	`lower-*.f32`
3 168×	`lower-*.f64`
2 702×	`lower-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	220
0	54	194
1	95	175
2	198	164
3	601	164
4	2546	164
5	5887	164
0	8119	164

Stop Event

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

Calls

Call 1

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

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

localize279.0ms (3.4%)

Memory

4.9MiB live, 166.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0625	(fma.f64 y (*.f64 y x) x)
accuracy	0.16755092747628872	(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y x) x))
accuracy	0.36556625976844204	(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y x) x)) #s(literal -1/2 binary64)))
accuracy	9.485363367426054	(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y x) x)) #s(literal -1/2 binary64))
accuracy	0.12890625	(*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))) (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
accuracy	2.920445564501025	(/.f64 x (*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))) (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))))
accuracy	14.48738590906962	(/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64)))
accuracy	14.499104659069621	(/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))
accuracy	0	(+.f64 y #s(literal -1 binary64))
accuracy	0.046875	(*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64)))
accuracy	2.142600672057607	(.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64))) x)
accuracy	4.462709202734637	(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64))) x) (+.f64 y #s(literal -1 binary64)))
accuracy	0	(*.f64 y y)
accuracy	0.6133589507074292	(/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y)))
accuracy	2.920445564501025	(/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y))))
accuracy	32.71826077222954	#s(approx (+ (* y y) 1) (*.f64 y y))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.0625	(fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x)
accuracy	0.23828125	(/.f64 y (/.f64 #s(literal 1 binary64) x))

Samples

188.0ms

256×

valid

Compiler

Compiled 231 to 31 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 171.0ms

ival-div: 96.0ms (56% of total)

ival-add: 58.0ms (33.9% of total)

ival-mult: 11.0ms (6.4% of total)

ival-pow: 6.0ms (3.5% of total)

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

exact: 0.0ms (0% of total)

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

series28.0ms (0.3%)

Memory

8.0MiB live, 46.5MiB allocated

Counts

20 → 360

Calls

Call 1

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

Outputs
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
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#s(alt (sqrt (* x (+ 1 (pow y 2)))) (taylor inf x) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #s(literal -1/2 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (* x (+ 1 (pow y 2)))) (taylor inf x) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #s(literal -1/2 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) (taylor -inf x) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #s(literal -1/2 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) (taylor -inf x) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #s(literal -1/2 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) (taylor -inf x) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #s(literal -1/2 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1))) (taylor -inf x) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #s(literal -1/2 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow y 2) x)) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) 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 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (pow y 2))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (pow y 2))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ 1 (pow y 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ 1 (pow y 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ 1 (pow y 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ 1 (pow y 2)))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ 1 (pow y 2)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ 1 (pow y 2)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ 1 (pow y 2)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (+ 1 (pow y 2)))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 y (.f64 y x) x) (patch (fma.f64 y (.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 y (.f64 y x) x) (patch (fma.f64 y (.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 y (.f64 y x) x) (patch (fma.f64 y (.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (pow y 2))) (taylor 0 y) (#s(alt (fma.f64 y (.f64 y x) x) (patch (fma.f64 y (.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (fma.f64 y (.f64 y x) x) (patch (fma.f64 y (.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 y (.f64 y x) x) (patch (fma.f64 y (.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 y (.f64 y x) x) (patch (fma.f64 y (.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 y (.f64 y x) x) (patch (fma.f64 y (.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (fma.f64 y (.f64 y x) x) (patch (fma.f64 y (.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 y (.f64 y x) x) (patch (fma.f64 y (.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 y (.f64 y x) x) (patch (fma.f64 y (.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ x (/ x (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 y (.f64 y x) x) (patch (fma.f64 y (.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 y (.f64 y x) x) (patch (fma.f64 y (.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 y (.f64 y x) x) (patch (fma.f64 y (.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 y (.f64 y x) x) (patch (fma.f64 y (.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor 0 x) (#s(alt (fma.f64 y (.f64 y x) x) (patch (fma.f64 y (.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 y (.f64 y x) x) (patch (fma.f64 y (.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 y (.f64 y x) x) (patch (fma.f64 y (.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 y (.f64 y x) x) (patch (fma.f64 y (.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (pow y 2))) (taylor inf x) (#s(alt (fma.f64 y (.f64 y x) x) (patch (fma.f64 y (.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 y (.f64 y x) x) (patch (fma.f64 y (.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 y (.f64 y x) x) (patch (fma.f64 y (.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 y (.f64 y x) x) (patch (fma.f64 y (.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (pow y 2)) 1))) (taylor -inf x) (#s(alt (fma.f64 y (.f64 y x) x) (patch (fma.f64 y (.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- y 1) (taylor 0 y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- y 1) (taylor 0 y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- y 1) (taylor 0 y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ 1 y) 1))) (taylor -inf y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ 1 y) 1))) (taylor -inf y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ 1 y) 1))) (taylor -inf y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ())

Calls

90 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/ x (* (/ (+ y 1) (+ (* y y) 1)) (/ (+ y -1) (+ (* y y) -1))))
3.0ms	y	@	-inf	(/ x (* (/ (+ y 1) (+ (* y y) 1)) (/ (+ y -1) (+ (* y y) -1))))
1.0ms	x	@	inf	(/ x (* (/ (+ y 1) (+ (* y y) 1)) (/ (+ y -1) (+ (* y y) -1))))
1.0ms	x	@	0	(* (* (+ (* y y) 1) (+ y -1)) x)
1.0ms	y	@	inf	(/ x (* (/ (+ y 1) (+ (* y y) 1)) (/ (+ y -1) (+ (* y y) -1))))

simplify295.0ms (3.6%)

Memory

-1.2MiB live, 311.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 084×	`lower-fma.f64`
10 084×	`lower-fma.f32`
3 410×	`lower-*.f64`
3 410×	`lower-*.f32`
3 048×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	226	2839
1	685	2746
2	2171	2650
3	6301	2645
0	8062	2438

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 352

Calls

Call 1

Inputs
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* 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))))
(* 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 (+ 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)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* 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)))
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* 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))))
(* 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
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (pow y 2) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1 (* -1 (pow y 2)))) 1)))
(/ 1 (pow y 2))
(/ (- 1 (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2))
(/ 1 (pow y 2))
(/ (- 1 (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2))
1
(+ 1 (pow y 2))
(+ 1 (pow y 2))
(+ 1 (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) (+ 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)
(pow y 2)
(pow y 2)
(pow y 2)
(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)))
(* 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 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 (+ 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 x) (* x y))
(+ (* -1 x) (* y (+ x (* -1 (* x y)))))
(+ (* -1 x) (* y (+ x (* y (+ (* -1 x) (* x y))))))
(* x (pow y 3))
(* (pow y 3) (+ x (* -1 (/ x y))))
(* (pow y 3) (+ x (+ (* -1 (/ x y)) (/ x (pow y 2)))))
(* (pow y 3) (+ x (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 2))))))
(* x (pow y 3))
(* -1 (* (pow y 3) (+ (* -1 x) (/ x y))))
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x y)) y)))))
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x y)) y))) y)))))
(* x (* (+ 1 (pow y 2)) (- y 1)))
(* x (* (+ 1 (pow y 2)) (- y 1)))
(* x (* (+ 1 (pow y 2)) (- y 1)))
(* x (* (+ 1 (pow y 2)) (- y 1)))
(* x (* (+ 1 (pow y 2)) (- y 1)))
(* x (* (+ 1 (pow y 2)) (- y 1)))
(* x (* (+ 1 (pow y 2)) (- y 1)))
(* x (* (+ 1 (pow y 2)) (- y 1)))
(* x (* (+ 1 (pow y 2)) (- y 1)))
(* x (* (+ 1 (pow y 2)) (- y 1)))
(* x (* (+ 1 (pow y 2)) (- y 1)))
(* x (* (+ 1 (pow y 2)) (- y 1)))
-1
(- y 1)
(- (* y (+ 1 (* -1 y))) 1)
(- (* y (+ 1 (* y (- y 1)))) 1)
(pow y 3)
(* (pow y 3) (- 1 (/ 1 y)))
(* (pow y 3) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)))
(* (pow y 3) (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))))
(pow y 3)
(* -1 (* (pow y 3) (- (/ 1 y) 1)))
(* -1 (* (pow y 3) (- (* -1 (/ (- (/ 1 y) 1) y)) 1)))
(* -1 (* (pow y 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1)))
1
(+ 1 (pow y 2))
(+ 1 (pow y 2))
(+ 1 (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) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (pow y 2) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1 (* -1 (pow y 2)))) 1)))
(/ 1 (pow y 2))
(/ (- 1 (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2))
(/ 1 (pow y 2))
(/ (- 1 (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2))
(/ (* x (* (+ 1 (pow y 2)) (- (pow y 2) 1))) (* (+ 1 y) (- y 1)))
(/ (* x (* (+ 1 (pow y 2)) (- (pow y 2) 1))) (* (+ 1 y) (- y 1)))
(/ (* x (* (+ 1 (pow y 2)) (- (pow y 2) 1))) (* (+ 1 y) (- y 1)))
(/ (* x (* (+ 1 (pow y 2)) (- (pow y 2) 1))) (* (+ 1 y) (- y 1)))
(/ (* x (* (+ 1 (pow y 2)) (- (pow y 2) 1))) (* (+ 1 y) (- y 1)))
(/ (* x (* (+ 1 (pow y 2)) (- (pow y 2) 1))) (* (+ 1 y) (- y 1)))
(/ (* x (* (+ 1 (pow y 2)) (- (pow y 2) 1))) (* (+ 1 y) (- y 1)))
(/ (* x (* (+ 1 (pow y 2)) (- (pow y 2) 1))) (* (+ 1 y) (- y 1)))
(/ (* x (* (+ 1 (pow y 2)) (- (pow y 2) 1))) (* (+ 1 y) (- y 1)))
(/ (* x (* (+ 1 (pow y 2)) (- (pow y 2) 1))) (* (+ 1 y) (- y 1)))
(/ (* x (* (+ 1 (pow y 2)) (- (pow y 2) 1))) (* (+ 1 y) (- y 1)))
(/ (* x (* (+ 1 (pow y 2)) (- (pow y 2) 1))) (* (+ 1 y) (- y 1)))
x
(+ x (* x (pow y 2)))
(+ x (* 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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(* (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
(+ 1 (* -1 y))
(+ 1 (* y (- y 1)))
(+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))
(/ 1 y)
(/ (- 1 (/ 1 y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y)
(/ 1 y)
(* -1 (/ (- (/ 1 y) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) y))
1
(+ 1 y)
(+ 1 (* y (+ 1 (* -1 y))))
(+ 1 (* y (+ 1 (* y (- (* -1 y) 1)))))
(/ 1 y)
(/ (+ 1 (/ 1 y)) y)
(/ (- (+ 1 (/ 1 y)) (/ 1 (pow y 2))) y)
(/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (/ 1 y))) y)
(/ 1 y)
(/ (+ 1 (/ 1 y)) y)
(* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) y)) 1) y))
(* -1 (/ (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 y)) y))) y)) 1) y))
x
(+ x (* 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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(sqrt x)
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(+ (sqrt x) (* (pow y 2) (+ (* -1/8 (* (sqrt x) (pow y 2))) (* 1/2 (sqrt x)))))
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(* (sqrt x) y)
(* y (+ (sqrt x) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))
(* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))
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(* -1 (* (sqrt x) y))
(* -1 (* y (+ (sqrt x) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))
(* -1 (* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))))
(* -1 (* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (+ (* 1/16 (* (sqrt x) (/ 1 (pow y 6)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt (* x (+ 1 (pow y 2))))
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1)))
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1)))
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1)))
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -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 (* 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) (/ 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 (+ 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 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ -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
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* 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))))
(* 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 (+ 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)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
-1
(- y 1)
(- y 1)
(- y 1)
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))

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

rewrite315.0ms (3.9%)

Memory

-22.6MiB live, 377.0MiB allocated

Rules

4 252×	`lower-/.f32`
4 234×	`lower-/.f64`
3 258×	`lower-*.f32`
3 246×	`lower-*.f64`
2 600×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	185
0	54	163
1	225	135
2	1913	134
0	8372	134

Stop Event

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

Counts

20 → 1 413

Calls

Call 1

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

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

eval389.0ms (4.8%)

Memory: 16.7MiB live, 639.6MiB allocated
Compiler: Compiled 57 001 to 4 578 computations (92% saved)

prune322.0ms (3.9%)

Memory

11.1MiB live, 482.8MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	2 293	4	2 297
Fresh	0	0	0
Picked	3	2	5
Done	0	3	3
Total	2 296	9	2 305

Accuracy

100.0%

Counts

2 305 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (/.f64 y (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))) y x)
✓	99.9%	(fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x)
▶	99.9%	(fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x)
✓	99.9%	(fma.f64 (*.f64 y x) y x)
▶	38.2%	(/.f64 (.f64 #s(approx ( (+ (* y y) 1) (+ y -1)) (.f64 y (.f64 y y))) x) (+.f64 y #s(literal -1 binary64)))
✓	44.1%	(/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y))))
▶	49.8%	(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #s(literal -1/2 binary64)) #s(approx (pow (/ 1 (+ (* y (* y x)) x)) -1/2) (*.f64 y (sqrt.f64 x))))
✓	44.1%	(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))
✓	54.9%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))

Compiler

Compiled 96 to 57 computations (40.6% saved)

simplify279.0ms (3.4%)

Memory

6.7MiB live, 181.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 x #s(literal -1/2 binary64))
cost-diff	0	(fma.f64 (/.f64 y (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))) y x)
cost-diff	1088	(/.f64 y (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)))
cost-diff	12224	(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) y)
cost-diff	0	(fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x)
cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) y))
cost-diff	0	(.f64 y (.f64 y y))
cost-diff	0	#s(approx (* (+ (* y y) 1) (+ y -1)) (.f64 y (.f64 y y)))
cost-diff	0	(.f64 #s(approx ( (+ (* y y) 1) (+ y -1)) (.f64 y (.f64 y y))) x)
cost-diff	0	(/.f64 (.f64 #s(approx ( (+ (* y y) 1) (+ y -1)) (.f64 y (.f64 y y))) x) (+.f64 y #s(literal -1 binary64)))
cost-diff	0	(fma.f64 y (*.f64 y x) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y x) x))
cost-diff	0	(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y x) x)) #s(literal -1/2 binary64))
cost-diff	0	(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #s(literal -1/2 binary64)) #s(approx (pow (/ 1 (+ (* y (* y x)) x)) -1/2) (*.f64 y (sqrt.f64 x))))

Rules

4 608×	`lower-fma.f32`
4 604×	`lower-fma.f64`
1 812×	`lower-*.f32`
1 810×	`div-sub`
1 800×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	193
0	58	173
1	91	171
2	132	171
3	201	171
4	370	171
5	630	171
6	1239	171
7	2017	171
8	2689	171
9	4374	171
10	6363	171
11	6782	171
12	6861	171
13	6905	171
14	6930	171
15	7334	171
16	7638	171
0	8130	168

Stop Event

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

Calls

Call 1

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

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

localize133.0ms (1.6%)

Memory

-13.2MiB live, 144.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 x #s(literal -1/2 binary64))
accuracy	0.0625	(fma.f64 (/.f64 y (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))) y x)
accuracy	0.23828125	(/.f64 y (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)))
accuracy	0.5123825195368841	(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy	0	(/.f64 #s(literal 1 binary64) y)
accuracy	0.0625	(fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x)
accuracy	0.2109375	(/.f64 x (/.f64 #s(literal 1 binary64) y))
accuracy	0.08203125	(.f64 y (.f64 y y))
accuracy	2.142600672057607	(.f64 #s(approx ( (+ (* y y) 1) (+ y -1)) (.f64 y (.f64 y y))) x)
accuracy	4.462709202734637	(/.f64 (.f64 #s(approx ( (+ (* y y) 1) (+ y -1)) (.f64 y (.f64 y y))) x) (+.f64 y #s(literal -1 binary64)))
accuracy	33.31516266998027	#s(approx (* (+ (* y y) 1) (+ y -1)) (.f64 y (.f64 y y)))
accuracy	0.20703125	(*.f64 y (sqrt.f64 x))
accuracy	0.36556625976844204	(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #s(literal -1/2 binary64)) #s(approx (pow (/ 1 (+ (* y (* y x)) x)) -1/2) (*.f64 y (sqrt.f64 x))))
accuracy	9.485363367426054	(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y x) x)) #s(literal -1/2 binary64))
accuracy	32.320308346452904	#s(approx (pow (/ 1 (+ (* y (* y x)) x)) -1/2) (*.f64 y (sqrt.f64 x)))

Samples

74.0ms

256×

valid

Compiler

Compiled 175 to 32 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-div: 23.0ms (39.3% of total)

ival-mult: 14.0ms (23.9% of total)

ival-pow: 11.0ms (18.8% of total)

ival-add: 5.0ms (8.5% of total)

ival-pow2: 3.0ms (5.1% of total)

ival-sqrt: 2.0ms (3.4% of total)

exact: 1.0ms (1.7% of total)

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

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

series17.0ms (0.2%)

Memory

25.2MiB live, 25.2MiB allocated

Counts

17 → 348

Calls

Call 1

Inputs
#s(alt (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #s(literal -1/2 binary64)) #s(approx (pow (/ 1 (+ (* y (* y x)) x)) -1/2) (.f64 y (sqrt.f64 x)))) (patch (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #s(literal -1/2 binary64)) #s(approx (pow (/ 1 (+ ( y (* y x)) x)) -1/2) (*.f64 y (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #s(literal -1/2 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #<representation binary64>) () ())
#s(alt (fma.f64 y (.f64 y x) x) (patch (fma.f64 y (.f64 y x) x) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 #s(approx ( (+ (* y y) 1) (+ y -1)) (.f64 y (.f64 y y))) x) (+.f64 y #s(literal -1 binary64))) (patch (/.f64 (.f64 #s(approx ( (+ (* y y) 1) (+ y -1)) (.f64 y (.f64 y y))) x) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(approx ( (+ (* y y) 1) (+ y -1)) (.f64 y (.f64 y y))) x) (patch (.f64 #s(approx ( (+ (* y y) 1) (+ y -1)) (.f64 y (.f64 y y))) x) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (* y y) 1) (+ y -1)) (.f64 y (.f64 y y))) (patch #s(approx (* (+ (* y y) 1) (+ y -1)) (.f64 y (.f64 y y))) #<representation binary64>) () ())
#s(alt (.f64 y (.f64 y y)) (patch (.f64 y (.f64 y y)) #<representation binary64>) () ())
#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) (patch (fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 y (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (/.f64 y (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 y (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))) y x) (patch (fma.f64 (/.f64 y (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))) y x) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal -1/2 binary64)) (patch (pow.f64 x #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (pow (/ 1 (+ (* y (* y x)) x)) -1/2) (.f64 y (sqrt.f64 x))) (patch #s(approx (pow (/ 1 (+ ( y (* y x)) x)) -1/2) (*.f64 y (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 y (sqrt.f64 x)) (patch (.f64 y (sqrt.f64 x)) #<representation binary64>) () ())

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

Calls

87 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(pow (pow x -1/2) 2)
1.0ms	x	@	-inf	(+ (* (/ y (pow (pow x -1/2) 2)) y) x)
0.0ms	x	@	-inf	(* y (sqrt x))
0.0ms	x	@	0	(pow x -1/2)
0.0ms	x	@	-inf	(/ y (pow (pow x -1/2) 2))

simplify250.0ms (3.1%)

Memory

22.8MiB live, 401.6MiB allocated

Algorithm

1×	egg-herbie

Rules

13 196×	`lower-fma.f64`
13 196×	`lower-fma.f32`
3 978×	`lower-*.f64`
3 978×	`lower-*.f32`
2 304×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	182	2655
1	546	2547
2	1828	2443
3	5199	2431
0	8389	2254

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 343

Calls

Call 1

Inputs
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* 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))))
(* 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 (+ 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)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(sqrt x)
(+ (sqrt x) (* 1/2 (* (sqrt x) (pow y 2))))
(+ (sqrt x) (* (pow y 2) (+ (* -1/8 (* (sqrt x) (pow y 2))) (* 1/2 (sqrt x)))))
(+ (sqrt x) (* (pow y 2) (+ (* 1/2 (sqrt x)) (* (pow y 2) (+ (* -1/8 (sqrt x)) (* 1/16 (* (sqrt x) (pow y 2))))))))
(* (sqrt x) y)
(* y (+ (sqrt x) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))
(* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))
(* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (+ (* 1/16 (* (sqrt x) (/ 1 (pow y 6)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))))
(* -1 (* (sqrt x) y))
(* -1 (* y (+ (sqrt x) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))
(* -1 (* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))))
(* -1 (* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (+ (* 1/16 (* (sqrt x) (/ 1 (pow y 6)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt (* x (+ 1 (pow y 2))))
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1)))
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1)))
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1)))
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -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 (* 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) (/ 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 (+ 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 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (+ 1 (pow y 2))))
(/ -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
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* 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))))
(* 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 (+ 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)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* 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))))
(* 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 (+ 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 x) (* x y))
(+ (* -1 x) (* y (+ x (* -1 (* x y)))))
(+ (* -1 x) (* y (+ x (* y (+ (* -1 x) (* x y))))))
(* x (pow y 3))
(* (pow y 3) (+ x (* -1 (/ x y))))
(* (pow y 3) (+ x (+ (* -1 (/ x y)) (/ x (pow y 2)))))
(* (pow y 3) (+ x (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 2))))))
(* x (pow y 3))
(* -1 (* (pow y 3) (+ (* -1 x) (/ x y))))
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x y)) y)))))
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x y)) y))) y)))))
(* x (* (+ 1 (pow y 2)) (- y 1)))
(* x (* (+ 1 (pow y 2)) (- y 1)))
(* x (* (+ 1 (pow y 2)) (- y 1)))
(* x (* (+ 1 (pow y 2)) (- y 1)))
(* x (* (+ 1 (pow y 2)) (- y 1)))
(* x (* (+ 1 (pow y 2)) (- y 1)))
(* x (* (+ 1 (pow y 2)) (- y 1)))
(* x (* (+ 1 (pow y 2)) (- y 1)))
(* x (* (+ 1 (pow y 2)) (- y 1)))
(* x (* (+ 1 (pow y 2)) (- y 1)))
(* x (* (+ 1 (pow y 2)) (- y 1)))
(* x (* (+ 1 (pow y 2)) (- y 1)))
-1
(- y 1)
(- (* y (+ 1 (* -1 y))) 1)
(- (* y (+ 1 (* y (- y 1)))) 1)
(pow y 3)
(* (pow y 3) (- 1 (/ 1 y)))
(* (pow y 3) (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)))
(* (pow y 3) (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))))
(pow y 3)
(* -1 (* (pow y 3) (- (/ 1 y) 1)))
(* -1 (* (pow y 3) (- (* -1 (/ (- (/ 1 y) 1) y)) 1)))
(* -1 (* (pow y 3) (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1)))
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* 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)))
(* -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
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* 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))))
(* 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 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* -1 (/ (pow (sqrt -1) 2) x))
(* -1 (/ (pow (sqrt -1) 2) x))
(* -1 (/ (pow (sqrt -1) 2) x))
(* -1 (/ (pow (sqrt -1) 2) x))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (/ (* x y) (pow (sqrt -1) 2)))
(* -1 (/ (* x y) (pow (sqrt -1) 2)))
(* -1 (/ (* x y) (pow (sqrt -1) 2)))
(* -1 (/ (* x y) (pow (sqrt -1) 2)))
x
(+ x (* x (pow y 2)))
(+ x (* x (pow y 2)))
(+ x (* 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))))
(* 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 (+ 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 (- (/ (pow y 2) (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (/ (pow y 2) (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (/ (pow y 2) (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (/ (pow y 2) (pow (sqrt -1) 2)) 1)))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(sqrt x)
(+ (sqrt x) (* 1/2 (* (sqrt x) (pow y 2))))
(+ (sqrt x) (* (pow y 2) (+ (* -1/8 (* (sqrt x) (pow y 2))) (* 1/2 (sqrt x)))))
(+ (sqrt x) (* (pow y 2) (+ (* 1/2 (sqrt x)) (* (pow y 2) (+ (* -1/8 (sqrt x)) (* 1/16 (* (sqrt x) (pow y 2))))))))
(* (sqrt x) y)
(* y (+ (sqrt x) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))
(* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))
(* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (+ (* 1/16 (* (sqrt x) (/ 1 (pow y 6)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))))
(* -1 (* (sqrt x) y))
(* -1 (* y (+ (sqrt x) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))
(* -1 (* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))))
(* -1 (* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (+ (* 1/16 (* (sqrt x) (/ 1 (pow y 6)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt (* x (+ 1 (pow y 2))))
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1)))
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1)))
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1)))
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1)))
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* (sqrt x) y)
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))

Outputs
x
(+ x (* x (pow y 2)))
(fma.f64 x (*.f64 y y) x)
(+ x (* x (pow y 2)))
(fma.f64 x (*.f64 y y) x)
(+ x (* x (pow y 2)))
(fma.f64 x (*.f64 y y) x)
(* x (pow y 2))
(.f64 x (.f64 y y))
(* (pow y 2) (+ x (/ x (pow y 2))))
(fma.f64 x (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(fma.f64 x (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(fma.f64 x (*.f64 y y) x)
(* x (pow y 2))
(.f64 x (.f64 y y))
(* (pow y 2) (+ x (/ x (pow y 2))))
(fma.f64 x (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(fma.f64 x (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(fma.f64 x (*.f64 y y) x)
(* x (+ 1 (pow y 2)))
(fma.f64 x (*.f64 y y) x)
(* x (+ 1 (pow y 2)))
(fma.f64 x (*.f64 y y) x)
(* x (+ 1 (pow y 2)))
(fma.f64 x (*.f64 y y) x)
(* x (+ 1 (pow y 2)))
(fma.f64 x (*.f64 y y) x)
(* x (+ 1 (pow y 2)))
(fma.f64 x (*.f64 y y) x)
(* x (+ 1 (pow y 2)))
(fma.f64 x (*.f64 y y) x)
(* x (+ 1 (pow y 2)))
(fma.f64 x (*.f64 y y) x)
(* x (+ 1 (pow y 2)))
(fma.f64 x (*.f64 y y) x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(fma.f64 x (*.f64 y y) x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(fma.f64 x (*.f64 y y) x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(fma.f64 x (*.f64 y y) x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(fma.f64 x (*.f64 y y) x)
(sqrt x)
(sqrt.f64 x)
(+ (sqrt x) (* 1/2 (* (sqrt x) (pow y 2))))
(.f64 (sqrt.f64 x) (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(+ (sqrt x) (* (pow y 2) (+ (* -1/8 (* (sqrt x) (pow y 2))) (* 1/2 (sqrt x)))))
(fma.f64 (.f64 y y) (.f64 (sqrt.f64 x) (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (sqrt.f64 x))
(+ (sqrt x) (* (pow y 2) (+ (* 1/2 (sqrt x)) (* (pow y 2) (+ (* -1/8 (sqrt x)) (* 1/16 (* (sqrt x) (pow y 2))))))))
(fma.f64 (.f64 (sqrt.f64 x) (fma.f64 (.f64 y y) #s(literal 1/16 binary64) #s(literal -1/8 binary64))) (.f64 (.f64 y y) (.f64 y y)) (.f64 (sqrt.f64 x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* y (+ (sqrt x) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))
(.f64 y (.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))))
(* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))
(.f64 y (fma.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) (*.f64 y y)))) (sqrt.f64 x)))
(* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (+ (* 1/16 (* (sqrt x) (/ 1 (pow y 6)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))))
(.f64 y (fma.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 6 binary64)))) (.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) (.f64 y y)))))))
(* -1 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (neg.f64 y))
(* -1 (* y (+ (sqrt x) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))
(.f64 y (.f64 (sqrt.f64 x) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1 binary64)))))
(* -1 (* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))))
(.f64 (fma.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) (*.f64 y y)))) (sqrt.f64 x)) (neg.f64 y))
(* -1 (* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (+ (* 1/16 (* (sqrt x) (/ 1 (pow y 6)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))))
(.f64 (fma.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 6 binary64)))) (.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) (.f64 y y)))))) (neg.f64 y))
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(.f64 x (.f64 y y))
(* (pow y 2) (+ x (/ x (pow y 2))))
(fma.f64 x (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(fma.f64 x (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(fma.f64 x (*.f64 y y) x)
(* x (+ 1 (pow y 2)))
(fma.f64 x (*.f64 y y) x)
(* x (+ 1 (pow y 2)))
(fma.f64 x (*.f64 y y) x)
(* x (+ 1 (pow y 2)))
(fma.f64 x (*.f64 y y) x)
(* x (+ 1 (pow y 2)))
(fma.f64 x (*.f64 y y) x)
(* x (+ 1 (pow y 2)))
(fma.f64 x (*.f64 y y) x)
(* x (+ 1 (pow y 2)))
(fma.f64 x (*.f64 y y) x)
(* x (+ 1 (pow y 2)))
(fma.f64 x (*.f64 y y) x)
(* x (+ 1 (pow y 2)))
(fma.f64 x (*.f64 y y) x)
(* -1 (* x (- (/ (pow y 2) (pow (sqrt -1) 2)) 1)))
(fma.f64 x (*.f64 y y) x)
(* -1 (* x (- (/ (pow y 2) (pow (sqrt -1) 2)) 1)))
(fma.f64 x (*.f64 y y) x)
(* -1 (* x (- (/ (pow y 2) (pow (sqrt -1) 2)) 1)))
(fma.f64 x (*.f64 y y) x)
(* -1 (* x (- (/ (pow y 2) (pow (sqrt -1) 2)) 1)))
(fma.f64 x (*.f64 y y) x)
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt x)
(sqrt.f64 x)
(+ (sqrt x) (* 1/2 (* (sqrt x) (pow y 2))))
(.f64 (sqrt.f64 x) (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(+ (sqrt x) (* (pow y 2) (+ (* -1/8 (* (sqrt x) (pow y 2))) (* 1/2 (sqrt x)))))
(fma.f64 (.f64 y y) (.f64 (sqrt.f64 x) (fma.f64 (*.f64 y y) #s(literal -1/8 binary64) #s(literal 1/2 binary64))) (sqrt.f64 x))
(+ (sqrt x) (* (pow y 2) (+ (* 1/2 (sqrt x)) (* (pow y 2) (+ (* -1/8 (sqrt x)) (* 1/16 (* (sqrt x) (pow y 2))))))))
(fma.f64 (.f64 (sqrt.f64 x) (fma.f64 (.f64 y y) #s(literal 1/16 binary64) #s(literal -1/8 binary64))) (.f64 (.f64 y y) (.f64 y y)) (.f64 (sqrt.f64 x) (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* y (+ (sqrt x) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))
(.f64 y (.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)))))
(* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))
(.f64 y (fma.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) (*.f64 y y)))) (sqrt.f64 x)))
(* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (+ (* 1/16 (* (sqrt x) (/ 1 (pow y 6)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))))
(.f64 y (fma.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 6 binary64)))) (.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) (.f64 y y)))))))
(* -1 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (neg.f64 y))
(* -1 (* y (+ (sqrt x) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))
(.f64 y (.f64 (sqrt.f64 x) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1 binary64)))))
(* -1 (* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))))
(.f64 (fma.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) (*.f64 y y)))) (sqrt.f64 x)) (neg.f64 y))
(* -1 (* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (+ (* 1/16 (* (sqrt x) (/ 1 (pow y 6)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))))
(.f64 (fma.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y y)) (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 6 binary64)))) (.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) (.f64 y y)))))) (neg.f64 y))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt.f64 (fma.f64 x (*.f64 y y) x))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt.f64 (fma.f64 x (*.f64 y y) x))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt.f64 (fma.f64 x (*.f64 y y) x))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt.f64 (fma.f64 x (*.f64 y y) x))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt.f64 (fma.f64 x (*.f64 y y) x))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt.f64 (fma.f64 x (*.f64 y y) x))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt.f64 (fma.f64 x (*.f64 y y) x))
(sqrt (* x (+ 1 (pow y 2))))
(sqrt.f64 (fma.f64 x (*.f64 y y) x))
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 x (-.f64 #s(literal -1 binary64) (*.f64 y y)))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 x (-.f64 #s(literal -1 binary64) (*.f64 y y)))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 x (-.f64 #s(literal -1 binary64) (*.f64 y y)))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 x (-.f64 #s(literal -1 binary64) (*.f64 y y)))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* (sqrt x) y)
(*.f64 y (sqrt.f64 x))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 y (sqrt.f64 x))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 y (sqrt.f64 x))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 y (sqrt.f64 x))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 y (sqrt.f64 x))

rewrite264.0ms (3.2%)

Memory

-0.9MiB live, 438.7MiB allocated

Rules

7 320×	`lower-fma.f32`
7 316×	`lower-fma.f64`
4 784×	`lower-*.f32`
4 772×	`lower-*.f64`
3 546×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	168
0	58	150
1	200	138
2	1279	134
0	8610	131

Stop Event

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

Counts

17 → 862

Calls

Call 1

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

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

eval233.0ms (2.8%)

Memory: -1.9MiB live, 281.8MiB allocated
Compiler: Compiled 22 737 to 2 002 computations (91.2% saved)

prune147.0ms (1.8%)

Memory

-26.9MiB live, 209.2MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	1 204	1	1 205
Fresh	0	0	0
Picked	1	3	4
Done	0	5	5
Total	1 205	9	1 214

Accuracy

100.0%

Counts

1 214 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (/.f64 y (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))) y x)
✓	99.9%	(fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x)
✓	99.9%	(fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x)
✓	99.9%	(fma.f64 (*.f64 y x) y x)
✓	38.2%	(/.f64 (.f64 #s(approx ( (+ (* y y) 1) (+ y -1)) (.f64 y (.f64 y y))) x) (+.f64 y #s(literal -1 binary64)))
✓	44.1%	(/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y))))
	49.8%	(.f64 (sqrt.f64 (fma.f64 y (.f64 y x) x)) #s(approx (pow (/ 1 (+ (* y (* y x)) x)) -1/2) (*.f64 y (sqrt.f64 x))))
✓	44.1%	(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))
✓	54.9%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))

Compiler

Compiled 318 to 117 computations (63.2% saved)

regimes26.0ms (0.3%)

Memory

33.8MiB live, 33.8MiB 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 y x) y x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
(/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y))))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))))
(fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x)
(fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x)
(/.f64 (.f64 #s(approx ( (+ (* y y) 1) (+ y -1)) (.f64 y (.f64 y y))) x) (+.f64 y #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64))) x) (+.f64 y #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 y (.f64 y (*.f64 y y)) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
(.f64 (sqrt.f64 (fma.f64 y (.f64 y x) x)) #s(approx (pow (/ 1 (+ (* y (* y x)) x)) -1/2) (*.f64 y (sqrt.f64 x))))
(/.f64 x (*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))) (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 y y) (.f64 x (.f64 (.f64 y y) x))) (.f64 x x)) (fma.f64 (*.f64 y y) x (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y y) x (neg.f64 x)) (-.f64 (.f64 (.f64 y y) (.f64 x (.f64 (.f64 y y) x))) (*.f64 x x))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #s(literal -1/2 binary64)) #s(approx (pow (/ 1 (+ (* y (* y x)) x)) -1/2) (*.f64 y (sqrt.f64 x))))
(fma.f64 (/.f64 y (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))) y x)
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y x) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y x) x)) #s(literal -1/2 binary64)))

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

Calls

5 calls:

5.0ms	x
5.0ms	y
5.0ms	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
5.0ms	(*.f64 y y)
4.0ms	(+.f64 #s(literal 1 binary64) (*.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 27 to 18 computations (33.3% saved)

regimes16.0ms (0.2%)

Memory

-25.3MiB live, 12.0MiB 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:

10.0ms	(*.f64 y y)
1.0ms	x
1.0ms	y
1.0ms	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
1.0ms	(+.f64 #s(literal 1 binary64) (*.f64 y y))

Results

Accuracy	Segments	Branch
62.5%	4	`x`
94.0%	2	`y`
78.4%	2	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
94.0%	2	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
94.0%	2	`(*.f64 y y)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.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:

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

Results

Accuracy	Segments	Branch
54.9%	1	`x`
54.9%	1	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
54.9%	1	`y`
54.9%	1	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
54.9%	1	`(*.f64 y y)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

bsearch11.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.0001801186622342523	2176593.2914420725

Samples

5.0ms

160×

valid

Compiler

Compiled 152 to 101 computations (33.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-add: 1.0ms (51.2% of total)

ival-mult: 1.0ms (51.2% of total)

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

exact: 0.0ms (0% of total)

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

simplify19.0ms (0.2%)

Memory

-28.7MiB live, 11.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

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 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))))

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

Outputs

(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))))

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

soundness639.0ms (7.8%)

Memory

13.6MiB live, 201.4MiB 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	15	246
1	42	246
2	74	246
3	212	246
4	695	246
5	1887	246
6	2663	246
7	3730	246
8	5074	246
9	5970	246
10	6935	246
11	7278	246
12	7397	246
13	7474	246
14	7543	246
15	7690	246
0	8226	216
0	6	15
0	9	15
1	34	15
2	209	15
3	1404	15
0	8269	13

Stop Event

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

Compiler

Compiled 60 to 30 computations (50% saved)

preprocess142.0ms (1.7%)

Memory

38.3MiB live, 76.9MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 124 to 58 computations (53.2% 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%)

sample666.0ms (8.1%)

explain90.0ms (1.1%)

preprocess36.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize16.0ms (0.2%)

series4.0ms (0%)

simplify599.0ms (7.3%)

rewrite292.0ms (3.6%)

eval54.0ms (0.7%)

prune99.0ms (1.2%)

simplify579.0ms (7.1%)

localize224.0ms (2.7%)

series185.0ms (2.3%)

simplify258.0ms (3.2%)

rewrite340.0ms (4.2%)

eval254.0ms (3.1%)

prune445.0ms (5.4%)

simplify225.0ms (2.8%)

localize279.0ms (3.4%)

series28.0ms (0.3%)

simplify295.0ms (3.6%)

rewrite315.0ms (3.9%)

eval389.0ms (4.8%)

prune322.0ms (3.9%)

simplify279.0ms (3.4%)

localize133.0ms (1.6%)

series17.0ms (0.2%)

simplify250.0ms (3.1%)

rewrite264.0ms (3.2%)

eval233.0ms (2.8%)

prune147.0ms (1.8%)

regimes26.0ms (0.3%)

regimes16.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch11.0ms (0.1%)

simplify19.0ms (0.2%)

soundness639.0ms (7.8%)

preprocess142.0ms (1.7%)

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