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

0.6MiB live, 0.6MiB 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)

sample756.0ms (9.1%)

Memory

28.4MiB live, 772.4MiB allocated

Samples

526.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 296.0ms

ival-mult: 239.0ms (80.9% of total)

ival-add: 43.0ms (14.5% of total)

ival-true: 6.0ms (2% of total)

exact: 5.0ms (1.7% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain98.0ms (1.2%)

Memory

-11.4MiB live, 109.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
20	-	-	`(.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**	20	0

Confusion

	Predicted +	Predicted -
+	20	0
-	0	236

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	20	0	0
-	0	0	236

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	236
1	20

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

23.0ms

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 (69% of total)

ival-add: 2.0ms (19.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess31.0ms (0.4%)

Memory

7.3MiB live, 43.0MiB 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify5.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB 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

localize25.0ms (0.3%)

Memory

-10.5MiB live, 33.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy	0	(*.f64 y y)
accuracy	4.682627889526375	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

Samples

13.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-mult: 5.0ms (76.4% of total)

ival-add: 1.0ms (15.3% 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

9.3MiB live, 9.3MiB 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	y	@	inf	(+ 1 (* y y))
0.0ms	x	@	inf	(* x (+ 1 (* y y)))
0.0ms	y	@	0	(+ 1 (* y y))

simplify413.0ms (5%)

Memory

-11.1MiB live, 310.4MiB 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)

rewrite647.0ms (7.8%)

Memory

8.0MiB live, 434.5MiB 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))

eval95.0ms (1.1%)

Memory: -12.2MiB live, 106.0MiB allocated
Compiler: Compiled 15 373 to 1 102 computations (92.8% saved)

prune151.0ms (1.8%)

Memory

-4.5MiB live, 100.4MiB 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
▶	92.7%	(fma.f64 (*.f64 y y) x x)
▶	99.9%	(fma.f64 (*.f64 y x) y x)
	26.1%	(/.f64 (.f64 (fma.f64 (.f64 (.f64 y y) x) (fma.f64 (.f64 y y) x (neg.f64 x)) (.f64 x x)) (fma.f64 (.f64 y y) x x)) (fma.f64 (.f64 (.f64 y y) x) (fma.f64 (.f64 y y) x (neg.f64 x)) (.f64 x x)))
▶	92.6%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))))
	64.1%	(.f64 x (/.f64 (fma.f64 y (.f64 y (*.f64 y y)) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
▶	48.5%	(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))
▶	48.1%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))

Compiler

Compiled 198 to 84 computations (57.6% saved)

simplify7.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

74×	`lower-*.f32`
66×	`lower-*.f64`
30×	`lower-/.f32`
26×	`lower-/.f64`
22×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	86
0	27	80
1	42	80
2	50	80
3	61	80
4	104	80
5	104	80
6	105	80
0	105	80

Stop Event

1×	iter limit
1×	saturated
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
(fma.f64 (*.f64 y y) x x)
(*.f64 y y)
y
x
(/.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

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

localize53.0ms (0.6%)

Memory

-22.4MiB live, 86.9MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 y y #s(literal 1 binary64))
accuracy	0.08203125	(/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))
accuracy	4.713877889526376	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))))
accuracy	0	(*.f64 y y)
accuracy	4.678721639526375	(fma.f64 (*.f64 y y) x x)
accuracy	0	(*.f64 y y)
accuracy	4.682627889526375	(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))
accuracy	28.38584270118865	#s(approx (+ 1 (* y y)) (*.f64 y y))
accuracy	4.682627889526375	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
accuracy	33.39587074067869	#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
accuracy	0	(*.f64 y x)
accuracy	0.0703125	(fma.f64 (*.f64 y x) y x)

Samples

33.0ms

256×

valid

Compiler

Compiled 81 to 16 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 10.0ms (56.3% of total)

ival-add: 4.0ms (22.5% of total)

ival-div: 3.0ms (16.9% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

22.5MiB live, 22.5MiB allocated

Counts

11 → 204

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 (fma.f64 (.f64 y y) x x) (patch (fma.f64 (.f64 y y) x x) #<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>) () ())

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

Calls

51 calls:

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

simplify239.0ms (2.9%)

Memory

-0.8MiB live, 310.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 220×	`lower-fma.f64`
10 220×	`lower-fma.f32`
2 984×	`lower-*.f64`
2 984×	`lower-*.f32`
1 546×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	1202
1	110	1200
2	259	1196
3	775	1192
4	2593	1192
5	6407	1192
0	8196	1058

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 199

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
(+ 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 (+ 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))))

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

rewrite303.0ms (3.7%)

Memory

-9.6MiB live, 403.0MiB allocated

Rules

4 494×	`lower-fma.f32`
4 488×	`lower-fma.f64`
3 754×	`lower-*.f32`
3 746×	`lower-*.f64`
2 380×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	72
0	27	66
1	105	66
2	562	66
3	5687	66
0	8063	66

Stop Event

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

Counts

11 → 873

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

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

eval172.0ms (2.1%)

Memory: 6.2MiB live, 225.5MiB allocated
Compiler: Compiled 25 687 to 1 387 computations (94.6% saved)

prune140.0ms (1.7%)

Memory

-2.2MiB live, 159.5MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	1 093	2	1 095
Fresh	1	1	2
Picked	1	4	5
Done	0	0	0
Total	1 095	7	1 102

Accuracy

100.0%

Counts

1 102 → 7

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)
✓	92.7%	(fma.f64 (*.f64 y y) x x)
✓	99.9%	(fma.f64 (*.f64 y x) y x)
▶	48.5%	(/.f64 #s(approx (+ 1 (* y y)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
▶	64.1%	(.f64 x (/.f64 (fma.f64 y (.f64 y (*.f64 y y)) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
✓	48.5%	(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))
✓	48.1%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))

Compiler

Compiled 67 to 37 computations (44.8% saved)

simplify229.0ms (2.8%)

Memory

20.1MiB live, 342.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

11 236×	`lower-fma.f32`
11 230×	`lower-fma.f64`
3 136×	`lower-*.f32`
3 130×	`lower-*.f64`
2 760×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	101
0	29	98
1	52	90
2	91	90
3	172	79
4	440	73
5	1899	73
6	5747	73
0	8158	70

Stop Event

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

Calls

Call 1

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

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

localize70.0ms (0.8%)

Memory

-7.8MiB live, 75.0MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.0703125	(fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x)
accuracy	0.1953125	(/.f64 y (/.f64 #s(literal 1 binary64) x))
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0	(*.f64 y y)
accuracy	4.768565389526376	(/.f64 #s(approx (+ 1 (* y y)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
accuracy	28.38584270118865	#s(approx (+ 1 (* y y)) (*.f64 y y))
accuracy	0.046875	(fma.f64 y (.f64 y (.f64 y y)) #s(literal -1 binary64))
accuracy	0.07421875	(.f64 y (.f64 y y))
accuracy	4.682627889526375	(.f64 x (/.f64 (fma.f64 y (.f64 y (*.f64 y y)) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
accuracy	22.048822133506768	(/.f64 (fma.f64 y (.f64 y (.f64 y y)) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))

Samples

52.0ms

256×

valid

Compiler

Compiled 102 to 19 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 7.0ms (38.5% of total)

ival-div: 6.0ms (33% of total)

ival-add: 4.0ms (22% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

10 → 168

Calls

Call 1

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

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

Calls

42 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(* x (/ (+ (* y (* y (* y y))) -1) (+ (* y y) -1)))
1.0ms	x	@	0	(* x (/ (+ (* y (* y (* y y))) -1) (+ (* y y) -1)))
1.0ms	x	@	inf	(* x (/ (+ (* y (* y (* y y))) -1) (+ (* y y) -1)))
0.0ms	y	@	inf	(/ (+ (* y (* y (* y y))) -1) (+ (* y y) -1))
0.0ms	y	@	0	(* x (/ (+ (* y (* y (* y y))) -1) (+ (* y y) -1)))

simplify210.0ms (2.5%)

Memory

-9.2MiB live, 303.7MiB allocated

Algorithm

1×	egg-herbie

Rules

5 638×	`lower-fma.f64`
5 638×	`lower-fma.f32`
3 550×	`lower--.f64`
3 550×	`lower--.f32`
3 288×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	882
1	80	882
2	172	882
3	465	882
4	2124	882
5	5822	882
0	8213	801

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 165

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 (- (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))
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
(- (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)
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
(+ 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)
(/ 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 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)))

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

rewrite327.0ms (3.9%)

Memory

35.3MiB live, 414.4MiB allocated

Rules

8 138×	`lower-fma.f32`
8 132×	`lower-fma.f64`
4 794×	`lower-*.f32`
4 788×	`lower-*.f64`
4 242×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	82
0	29	79
1	127	56
2	828	54
0	8546	51

Stop Event

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

Counts

10 → 911

Calls

Call 1

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

Outputs
(+.f64 (*.f64 y y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 y y))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 y (.f64 y (*.f64 y y))) (fma.f64 y (neg.f64 y) #s(literal 1 binary64)))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (.f64 y (.f64 y (*.f64 y y)))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #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))) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) (fma.f64 y (.f64 y (.f64 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 y y) #s(literal -1 binary64)) (fma.f64 y (.f64 y (.f64 y (.f64 y (*.f64 y y)))) #s(literal -1 binary64))) (fma.f64 y y #s(literal 1 binary64))))
(+.f64 (.f64 (/.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) (fma.f64 y (.f64 y (.f64 y (.f64 y (.f64 y y)))) #s(literal -1 binary64))) (fma.f64 y y #s(literal 1 binary64))) (.f64 (/.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) (fma.f64 y (.f64 y (.f64 y (.f64 y (.f64 y y)))) #s(literal -1 binary64))) (.f64 y (.f64 y (*.f64 y y)))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))) (.f64 (.f64 y (.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))))
(+.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))))
(+.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) (/.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) (fma.f64 y (.f64 y (.f64 y (.f64 y (.f64 y y)))) #s(literal -1 binary64)))) (.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) (fma.f64 y (.f64 y (.f64 y (.f64 y (*.f64 y y)))) #s(literal -1 binary64)))))
(+.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) (fma.f64 y (.f64 y (.f64 y (.f64 y (.f64 y y)))) #s(literal -1 binary64)))) (.f64 (.f64 y (.f64 y (.f64 y y))) (/.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) (fma.f64 y (.f64 y (.f64 y (.f64 y (*.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 (*.f64 y y) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 y)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (*.f64 y y)))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (.f64 y (.f64 y (*.f64 y y))) (fma.f64 y (neg.f64 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))) (/.f64 (.f64 (.f64 y y) (neg.f64 (.f64 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 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 (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y)))) (fma.f64 (.f64 y y) (.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 y y #s(literal -1 binary64))))
(-.f64 (/.f64 (.f64 (.f64 y (.f64 y (.f64 y y))) (.f64 y (.f64 y (.f64 y y)))) (.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) (.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 (.f64 y y) (*.f64 y y) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y (neg.f64 y) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 y y)))
(-.f64 (/.f64 (.f64 y (.f64 y (.f64 y (.f64 y (.f64 y y))))) (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 y) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64))))
(fma.f64 y y #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 y (neg.f64 y)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (.f64 (.f64 y (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #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))) (fma.f64 y (neg.f64 y) #s(literal 1 binary64)))))
(fma.f64 (.f64 y (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))))
(fma.f64 (.f64 y (.f64 y (.f64 y y))) (/.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) (fma.f64 y (.f64 y (.f64 y (.f64 y (.f64 y y)))) #s(literal -1 binary64))) (.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) (fma.f64 y (.f64 y (.f64 y (.f64 y (.f64 y y)))) #s(literal -1 binary64)))))
(fma.f64 (neg.f64 y) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 (*.f64 y (neg.f64 y)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (.f64 y (.f64 y (.f64 y y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #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))) #s(literal -1 binary64)))
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(.f64 (/.f64 (.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) x) (neg.f64 (fma.f64 y (.f64 y (.f64 y (.f64 y (.f64 y y)))) #s(literal -1 binary64)))) (neg.f64 (fma.f64 y (.f64 y (.f64 y y)) (fma.f64 y y #s(literal 1 binary64)))))
(.f64 (/.f64 (fma.f64 x (neg.f64 (.f64 y (.f64 y (.f64 y y)))) x) (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 y y)))
(.f64 (/.f64 (fma.f64 x (neg.f64 (.f64 y (.f64 y (.f64 y y)))) x) (fma.f64 y (.f64 y (.f64 y (.f64 y (.f64 y y)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 y (.f64 y (.f64 y y)) (fma.f64 y y #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 (fma.f64 y (.f64 y x) x) (+.f64 y #s(literal -1 binary64))) (fma.f64 y (.f64 y y) #s(literal -1 binary64))) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(.f64 (/.f64 (.f64 (fma.f64 y (*.f64 y x) x) (+.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 x x (.f64 (.f64 y (.f64 y x)) (.f64 x (fma.f64 y y #s(literal -1 binary64))))) (fma.f64 y (.f64 y x) x)) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))) (.f64 y (.f64 (.f64 y x) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 x x)))))) (.f64 (.f64 x (.f64 x (fma.f64 y (neg.f64 y) #s(literal 1 binary64)))) (.f64 x (.f64 (.f64 x (fma.f64 y (neg.f64 y) #s(literal 1 binary64))) (.f64 x (.f64 x (fma.f64 y (neg.f64 y) #s(literal 1 binary64))))))))) (fma.f64 y (.f64 (.f64 (.f64 y y) (.f64 y (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 x x)))) (.f64 (.f64 x (.f64 x (fma.f64 y (neg.f64 y) #s(literal 1 binary64)))) (-.f64 (.f64 x (.f64 x (fma.f64 y (neg.f64 y) #s(literal 1 binary64)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (*.f64 x x)))))))
(.f64 (/.f64 (.f64 (fma.f64 x x (.f64 (.f64 y (.f64 y x)) (.f64 x (fma.f64 y y #s(literal -1 binary64))))) (fma.f64 y (.f64 y x) x)) (.f64 (fma.f64 (.f64 y y) (.f64 y (.f64 y (.f64 x x))) (.f64 x (.f64 x (fma.f64 y (neg.f64 y) #s(literal 1 binary64))))) (fma.f64 (fma.f64 y (.f64 y x) x) (.f64 x (fma.f64 y y #s(literal -1 binary64))) (.f64 y (.f64 y (.f64 x x)))))) (fma.f64 (fma.f64 y (.f64 y x) x) (.f64 x (fma.f64 y y #s(literal -1 binary64))) (.f64 y (.f64 y (.f64 x x)))))
(.f64 (/.f64 (.f64 (fma.f64 y (.f64 y x) x) (.f64 x (fma.f64 y y #s(literal -1 binary64)))) (fma.f64 (.f64 y y) (.f64 (.f64 y (.f64 y (.f64 x x))) (.f64 y (.f64 y x))) (neg.f64 (.f64 x (.f64 x x))))) (fma.f64 (.f64 y y) (.f64 y (.f64 y (.f64 x x))) (.f64 x (fma.f64 y (*.f64 y x) x))))

eval322.0ms (3.9%)

Memory: -55.2MiB live, 254.2MiB allocated
Compiler: Compiled 28 854 to 1 916 computations (93.4% saved)

prune272.0ms (3.3%)

Memory

36.9MiB live, 195.6MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	1 130	6	1 136
Fresh	0	0	0
Picked	1	2	3
Done	1	3	4
Total	1 132	11	1 143

Accuracy

100.0%

Counts

1 143 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(fma.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) x)
✓	99.9%	(fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y x)
▶	99.8%	(fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x)
	99.7%	(fma.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal -1/2 binary64))) y x)
✓	92.7%	(fma.f64 (*.f64 y y) x x)
▶	90.8%	(/.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (.f64 y x)) y) (/.f64 #s(literal 1 binary64) (.f64 y x)))
▶	63.2%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y x))) (/.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y x)))))
✓	48.5%	(/.f64 #s(approx (+ 1 (* y y)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
✓	48.5%	(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))
✓	48.1%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
▶	55.8%	#s(approx (/ (+ 1 (* y y)) (/ 1 x)) (.f64 y (.f64 y x)))

Compiler

Compiled 228 to 108 computations (52.6% saved)

simplify1.0s (12.5%)

Memory

-14.3MiB live, 334.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 x #s(literal -1/2 binary64))
cost-diff	3008	(fma.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) x)
cost-diff	5504	(/.f64 y (pow.f64 x #s(literal -1/2 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 y x)))
cost-diff	320	(+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y x))) (/.f64 #s(literal 1 binary64) x))
cost-diff	704	(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y x))))
cost-diff	3584	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y x))) (/.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y x)))))
cost-diff	0	(*.f64 y x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 y x))
cost-diff	512	(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x)) y)
cost-diff	1920	(/.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (.f64 y x)) y) (/.f64 #s(literal 1 binary64) (.f64 y x)))
cost-diff	0	(*.f64 y x)
cost-diff	0	(.f64 y (.f64 y x))
cost-diff	0	#s(approx (/ (+ 1 (* y y)) (/ 1 x)) (.f64 y (.f64 y x)))
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))

Rules

10 854×	`lower-fma.f32`
10 848×	`lower-fma.f64`
5 956×	`lower-*.f32`
5 950×	`lower-*.f64`
2 192×	`lower-/.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	25	166
0	44	147
1	79	126
2	155	123
3	391	123
4	1098	121
5	2339	119
6	3375	119
7	5473	119
8	6153	119
9	7142	119
10	7566	119
11	7924	119
0	8204	119

Stop Event

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

Calls

Call 1

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

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

localize93.0ms (1.1%)

Memory

19.6MiB live, 145.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 x #s(literal -1/2 binary64))
accuracy	0.15234375	(fma.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) x)
accuracy	0.2421875	(/.f64 y (pow.f64 x #s(literal -1/2 binary64)))
accuracy	0.12890625	(.f64 y (.f64 y x))
accuracy	0.3178463946012702	(/.f64 #s(literal 1 binary64) (.f64 y (.f64 y x)))
accuracy	2.16340625943752	(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y x))))
accuracy	23.089749512434665	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y x))) (/.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y x)))))
accuracy	0	(*.f64 y x)
accuracy	0.5026329852418182	(/.f64 #s(literal 1 binary64) (*.f64 y x))
accuracy	5.433291413468839	(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y x)) y)
accuracy	5.622805943544194	(/.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) (.f64 y x)) y) (/.f64 #s(literal 1 binary64) (.f64 y x)))
accuracy	0	(*.f64 y x)
accuracy	0.12890625	(.f64 y (.f64 y x))
accuracy	28.247412521355248	#s(approx (/ (+ 1 (* y y)) (/ 1 x)) (.f64 y (.f64 y x)))
accuracy	0	(/.f64 #s(literal 1 binary64) y)
accuracy	0.0703125	(fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y x)
accuracy	0.203125	(/.f64 x (/.f64 #s(literal 1 binary64) y))

Samples

61.0ms

256×

valid

Compiler

Compiled 166 to 28 computations (83.1% saved)

Precisions

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

ival-div: 14.0ms (36.6% of total)

ival-mult: 9.0ms (23.5% of total)

ival-pow: 9.0ms (23.5% of total)

ival-add: 5.0ms (13.1% of total)

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

exact: 0.0ms (0% of total)

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

series65.0ms (0.8%)

Memory

-40.0MiB live, 82.0MiB allocated

Counts

16 → 360

Calls

Call 1

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

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

Calls

90 calls:

Time	Variable		Point	Expression
10.0ms	x	@	inf	(/ (+ (/ 1 (* y (* y x))) (/ 1 x)) (* (/ 1 x) (/ 1 (* y (* y x)))))
1.0ms	x	@	0	(/ (+ (/ 1 (* y (* y x))) (/ 1 x)) (* (/ 1 x) (/ 1 (* y (* y x)))))
1.0ms	x	@	-inf	(+ (* (/ y (pow x -1/2)) (/ y (pow x -1/2))) x)
1.0ms	x	@	-inf	(/ (+ (/ 1 (* y (* y x))) (/ 1 x)) (* (/ 1 x) (/ 1 (* y (* y x)))))
1.0ms	x	@	0	(/ (+ (* x (/ 1 (* y x))) y) (/ 1 (* y x)))

simplify187.0ms (2.3%)

Memory

10.9MiB live, 248.8MiB allocated

Algorithm

1×	egg-herbie

Rules

3 538×	`lower-fma.f64`
3 538×	`lower-fma.f32`
3 260×	`lower-*.f64`
3 260×	`lower-*.f32`
1 824×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	2158
1	124	2146
2	275	2142
3	741	2142
4	2607	2142
5	5294	2058
0	8199	1953

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 353

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

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 (+ 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)
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(fma.f64 x (*.f64 y y) x)
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(* (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))
(*.f64 (sqrt.f64 x) (neg.f64 y))
(* -1 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (neg.f64 y))
(* -1 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (neg.f64 y))
(* -1 (* (sqrt x) y))
(*.f64 (sqrt.f64 x) (neg.f64 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 (- (/ (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)))

rewrite376.0ms (4.5%)

Memory

4.4MiB live, 602.6MiB allocated

Rules

5 828×	`lower-fma.f32`
5 822×	`lower-fma.f64`
4 368×	`lower-*.f32`
4 362×	`lower-*.f64`
4 106×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	138
0	44	112
1	215	98
2	1868	87
0	8509	86

Stop Event

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

Counts

16 → 2 078

Calls

Call 1

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

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

eval560.0ms (6.8%)

Memory: 60.9MiB live, 701.1MiB allocated
Compiler: Compiled 66 881 to 3 515 computations (94.7% saved)

prune280.0ms (3.4%)

Memory

-34.3MiB live, 461.1MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	3 032	4	3 036
Fresh	1	0	1
Picked	4	1	5
Done	1	4	5
Total	3 038	9	3 047

Accuracy

100.0%

Counts

3 047 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.7%	(fma.f64 (*.f64 y y) x x)
	58.5%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y x))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (.f64 x y) x)))
✓	48.5%	(/.f64 #s(approx (+ 1 (* y y)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
✓	48.5%	(.f64 x #s(approx (+ 1 ( y y)) (*.f64 y y)))
✓	48.1%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
	55.7%	#s(approx (/ (+ 1 (* y y)) (/ 1 x)) (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y)))
	55.8%	#s(approx (/ (+ 1 (* y y)) (/ 1 x)) (*.f64 y (/.f64 y (/.f64 #s(literal 1 binary64) x))))
	55.7%	#s(approx (/ (+ 1 (* y y)) (/ 1 x)) (*.f64 y (/.f64 x (/.f64 #s(literal 1 binary64) y))))
✓	55.8%	#s(approx (/ (+ 1 (* y y)) (/ 1 x)) (.f64 y (.f64 y x)))

Compiler

Compiled 329 to 109 computations (66.9% saved)

regimes33.0ms (0.4%)

Memory

18.6MiB live, 60.9MiB allocated

Counts

20 → 1

Calls

Call 1

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

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

Calls

5 calls:

10.0ms	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
6.0ms	x
6.0ms	y
5.0ms	(*.f64 y y)
5.0ms	(+.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)

regimes10.0ms (0.1%)

Memory

-17.3MiB live, 21.3MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
2.0ms	y
2.0ms	x
2.0ms	(*.f64 y y)
2.0ms	(+.f64 #s(literal 1 binary64) (*.f64 y y))

Results

Accuracy	Segments	Branch
62.6%	5	`x`
99.1%	2	`y`
79.0%	2	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
99.1%	2	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
99.1%	2	`(*.f64 y y)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB 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	y
1.0ms	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
1.0ms	x
1.0ms	(*.f64 y y)
1.0ms	(+.f64 #s(literal 1 binary64) (*.f64 y y))

Results

Accuracy	Segments	Branch
48.1%	1	`x`
48.1%	1	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
48.1%	1	`y`
48.1%	1	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
48.1%	1	`(*.f64 y y)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.660321141515587e-8	9964.98846136211

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify8.0ms (0.1%)

Memory

-21.5MiB live, 15.6MiB 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	17	45
1	23	45

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 y y) #s(literal 944473296573929/9444732965739290427392 binary64)) (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #s(approx (/ (+ 1 (* y y)) (/ 1 x)) (*.f64 y (*.f64 y x))))

(*.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 944473296573929/9444732965739290427392 binary64)) (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #s(approx (/ (+ 1 (* y y)) (/ 1 x)) (*.f64 y (*.f64 y x))))

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

soundness975.0ms (11.8%)

Memory

10.3MiB live, 449.8MiB allocated

Rules

9 064×	`lower-fma.f64`
9 064×	`lower-fma.f32`
6 574×	`lower-*.f64`
6 574×	`lower-*.f32`
5 638×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	882
1	80	882
2	172	882
3	465	882
4	2124	882
5	5822	882
0	8213	801
0	16	72
0	27	66
1	105	66
2	562	66
3	5687	66
0	8063	66
0	6	15
0	9	15
1	34	15
2	209	15
3	1404	15
0	8269	13
0	15	246
1	42	246
2	74	246
3	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×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 83 to 42 computations (49.4% saved)

preprocess58.0ms (0.7%)

Memory

-7.2MiB live, 69.6MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 124 to 60 computations (51.6% 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%)

sample756.0ms (9.1%)

explain98.0ms (1.2%)

preprocess31.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize25.0ms (0.3%)

series4.0ms (0%)

simplify413.0ms (5%)

rewrite647.0ms (7.8%)

eval95.0ms (1.1%)

prune151.0ms (1.8%)

simplify7.0ms (0.1%)

localize53.0ms (0.6%)

series9.0ms (0.1%)

simplify239.0ms (2.9%)

rewrite303.0ms (3.7%)

eval172.0ms (2.1%)

prune140.0ms (1.7%)

simplify229.0ms (2.8%)

localize70.0ms (0.8%)

series11.0ms (0.1%)

simplify210.0ms (2.5%)

rewrite327.0ms (3.9%)

eval322.0ms (3.9%)

prune272.0ms (3.3%)

simplify1.0s (12.5%)

localize93.0ms (1.1%)

series65.0ms (0.8%)

simplify187.0ms (2.3%)

rewrite376.0ms (4.5%)

eval560.0ms (6.8%)

prune280.0ms (3.4%)

regimes33.0ms (0.4%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness975.0ms (11.8%)

preprocess58.0ms (0.7%)

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