Metrics for Radioactive exchange between two surfaces

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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)

sample1.1s (17.2%)

Memory

35.6MiB live, 1 349.9MiB allocated

Samples

792.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 546.0ms

ival-pow: 461.0ms (84.4% of total)

ival-sub: 70.0ms (12.8% of total)

ival-true: 6.0ms (1.1% of total)

exact: 5.0ms (0.9% of total)

ival-assert: 4.0ms (0.7% of total)

Bogosity

explain72.0ms (1.1%)

Memory

-6.1MiB live, 154.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
40	-	-	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`
0	-	-	`y`
0	-	-	`(pow.f64 x #s(literal 4 binary64))`
0	-	-	`(pow.f64 y #s(literal 4 binary64))`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`	nan-rescue	40	0
↳	`(pow.f64 x #s(literal 4 binary64))`	overflow	103
↳	`(pow.f64 y #s(literal 4 binary64))`	overflow	106

Confusion

	Predicted +	Predicted -
+	40	0
-	0	216

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	40	0	0
-	0	0	216

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	216
1	40

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

32.0ms

512×

valid

Compiler

Compiled 43 to 22 computations (48.8% saved)

Precisions

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

ival-pow: 15.0ms (82.3% of total)

ival-sub: 2.0ms (11% of total)

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

exact: 0.0ms (0% of total)

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

preprocess22.0ms (0.3%)

Memory

4.1MiB live, 45.3MiB allocated

Algorithm

1×	egg-herbie

Rules

90×	`sub-neg`
80×	`lower-fma.f64`
80×	`lower-fma.f32`
48×	`lower-*.f64`
48×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	41
1	30	41
2	68	39
3	121	39
4	213	39
5	333	39
6	376	39
7	396	39
0	6	7
0	9	7
1	11	7
2	16	7
3	22	7
4	30	7
5	45	7
6	78	7
7	103	7
8	145	7
9	160	7
10	168	7
0	168	7

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))

Outputs
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.4%	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify8.0ms (0.1%)

Memory

-24.7MiB live, 14.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(pow.f64 y #s(literal 4 binary64))
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))

Rules

80×	`lower-fma.f64`
80×	`lower-fma.f32`
48×	`lower-*.f64`
48×	`lower-*.f32`
32×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	16
1	11	16
2	16	16
3	22	16
4	30	16
5	45	16
6	78	16
7	103	16
8	145	16
9	160	16
10	168	16
0	168	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(pow.f64 y #s(literal 4 binary64))
y

Outputs
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(pow.f64 y #s(literal 4 binary64))
y

localize21.0ms (0.3%)

Memory

6.1MiB live, 45.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 y #s(literal 4 binary64))
accuracy	0	(pow.f64 x #s(literal 4 binary64))
accuracy	8.933554530773913	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))

Samples

16.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-pow: 7.0ms (79% of total)

ival-sub: 1.0ms (11.3% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

3 → 48

Calls

Call 1

Inputs
#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())

Inputs

#s(alt (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (patch (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())

#s(alt (pow.f64 x #s(literal 4 binary64)) (patch (pow.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())

#s(alt (pow.f64 y #s(literal 4 binary64)) (patch (pow.f64 y #s(literal 4 binary64)) #<representation binary64>) () ())

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((- (pow x 4) (pow y 4)) (pow x 4) (pow y 4))
1.0ms	y	@	0	((- (pow x 4) (pow y 4)) (pow x 4) (pow y 4))
1.0ms	y	@	inf	((- (pow x 4) (pow y 4)) (pow x 4) (pow y 4))
1.0ms	x	@	inf	((- (pow x 4) (pow y 4)) (pow x 4) (pow y 4))
1.0ms	x	@	-inf	((- (pow x 4) (pow y 4)) (pow x 4) (pow y 4))

simplify148.0ms (2.2%)

Memory

-7.7MiB live, 179.7MiB allocated

Algorithm

1×	egg-herbie

Rules

19 848×	`lower-fma.f64`
19 848×	`lower-fma.f32`
4 256×	`lower-*.f64`
4 256×	`lower-*.f32`
1 584×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	219
1	37	219
2	67	219
3	168	219
4	343	219
5	621	219
6	2846	219
7	5704	219
0	8227	219

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

rewrite216.0ms (3.3%)

Memory

19.9MiB live, 228.5MiB allocated

Rules

7 422×	`lower-fma.f64`
7 422×	`lower-fma.f32`
3 996×	`lower-*.f64`
3 996×	`lower-*.f32`
3 822×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	36	13
2	225	13
3	1989	13
0	8607	13

Stop Event

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

Counts

3 → 228

Calls

Call 1

Inputs
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 y #s(literal 4 binary64))

Outputs
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eval50.0ms (0.8%)

Memory: -21.2MiB live, 51.9MiB allocated
Compiler: Compiled 8 315 to 665 computations (92% saved)

prune5.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	273	3	276
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	274	3	277

Accuracy

100.0%

Counts

277 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(.f64 (fma.f64 y y (.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y)))
▶	57.1%	#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
▶	56.9%	#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))

Status

Accuracy

Program

▶

99.9%

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

▶

57.1%

#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))

▶

56.9%

#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))

Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify134.0ms (2%)

Memory

-0.8MiB live, 154.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

16 490×	`lower-fma.f32`
16 488×	`lower-fma.f64`
2 788×	`lower-+.f32`
2 786×	`lower-+.f64`
2 698×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	75
0	26	75
1	39	75
2	90	75
3	380	75
4	1354	75
5	4557	75
6	7941	75
0	8146	75

Stop Event

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

Calls

Call 1

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

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

localize46.0ms (0.7%)

Memory

5.5MiB live, 43.5MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x y)
accuracy	0	(*.f64 (+.f64 x y) (-.f64 x y))
accuracy	0	(*.f64 x x)
accuracy	0.08660126953688403	(.f64 (fma.f64 y y (.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y)))
accuracy	0	(pow.f64 x #s(literal 4 binary64))
accuracy	27.43921039103613	#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
accuracy	0	(pow.f64 y #s(literal 4 binary64))
accuracy	0	(neg.f64 (pow.f64 y #s(literal 4 binary64)))
accuracy	27.571491705740915	#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))

Samples

36.0ms

256×

valid

Compiler

Compiled 70 to 16 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-pow: 7.0ms (36.5% of total)

ival-mult: 6.0ms (31.3% of total)

ival-sub: 2.0ms (10.4% of total)

ival-add: 2.0ms (10.4% of total)

ival-neg: 1.0ms (5.2% of total)

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

exact: 0.0ms (0% of total)

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

series41.0ms (0.6%)

Memory

-12.1MiB live, 34.0MiB allocated

Counts

10 → 192

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) (- (pow x 4) (pow y 4)) (pow x 4) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (+ x y))
2.0ms	x	@	-inf	((- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) (- (pow x 4) (pow y 4)) (pow x 4) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (+ x y))
2.0ms	x	@	0	((- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) (- (pow x 4) (pow y 4)) (pow x 4) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (+ x y))
2.0ms	y	@	inf	((- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) (- (pow x 4) (pow y 4)) (pow x 4) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (+ x y))
1.0ms	y	@	-inf	((- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) (- (pow x 4) (pow y 4)) (pow x 4) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (+ x y) (- x y)) (+ x y))

simplify211.0ms (3.2%)

Memory

28.2MiB live, 252.9MiB allocated

Algorithm

1×	egg-herbie

Rules

29 510×	`lower-fma.f64`
29 510×	`lower-fma.f32`
5 320×	`lower-+.f64`
5 320×	`lower-+.f32`
4 642×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	198	1388
1	648	1291
2	2217	1214
0	8388	1177

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 186

Calls

Call 1

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

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

rewrite179.0ms (2.7%)

Memory

13.0MiB live, 284.9MiB allocated

Rules

9 098×	`lower-fma.f32`
9 096×	`lower-fma.f64`
6 074×	`lower-*.f32`
6 068×	`lower-*.f64`
4 406×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	66
0	26	66
1	91	59
2	658	59
0	8437	59

Stop Event

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

Counts

10 → 854

Calls

Call 1

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

Outputs
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eval172.0ms (2.6%)

Memory: 13.9MiB live, 236.4MiB allocated
Compiler: Compiled 26 117 to 2 495 computations (90.4% saved)

prune70.0ms (1.1%)

Memory

-17.3MiB live, 110.3MiB allocated

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	1 033	7	1 040
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	1 034	9	1 043

Accuracy

100.0%

Counts

1 043 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x x))))
	47.5%	(.f64 (fma.f64 y y (.f64 x x)) (.f64 (.f64 (-.f64 x y) (.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 1 binary64))) (fma.f64 y (+.f64 y x) (*.f64 x x))))
▶	99.9%	(.f64 (fma.f64 y y (.f64 x x)) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (-.f64 x y)))
	93.5%	(.f64 (fma.f64 y y (.f64 x x)) #s(approx (* (+ x y) (- x y)) (.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)))
▶	99.9%	(.f64 (-.f64 x y) (.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))))
✓	57.1%	#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
▶	56.8%	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
▶	57.1%	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 x x) (*.f64 x x)))
✓	56.9%	#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))

Compiler

Compiled 247 to 139 computations (43.7% saved)

simplify136.0ms (2.1%)

Memory

10.8MiB live, 171.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 y y (*.f64 x x))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))
cost-diff	0	(+.f64 y x)
cost-diff	0	(-.f64 x y)
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 y y (*.f64 x x))
cost-diff	0	(.f64 (fma.f64 y y (.f64 x x)) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (-.f64 x y)))
cost-diff	896	(fma.f64 (/.f64 y x) x x)
cost-diff	0	(*.f64 y y)
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) y)
cost-diff	0	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
cost-diff	-5504	(.f64 (.f64 x x) (*.f64 x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 x x) (*.f64 x x)))
cost-diff	0	(fma.f64 y y (*.f64 x x))
cost-diff	0	(+.f64 y x)
cost-diff	0	(.f64 (+.f64 y x) (fma.f64 y y (.f64 x x)))
cost-diff	0	(-.f64 x y)

Rules

14 046×	`lower-fma.f32`
14 042×	`lower-fma.f64`
3 662×	`lower-*.f32`
3 642×	`lower-*.f64`
2 244×	`lower-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	218
0	48	213
1	99	205
2	253	198
3	800	188
4	2773	174
5	4729	174
0	8185	174

Stop Event

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

Calls

Call 1

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

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

localize88.0ms (1.3%)

Memory

-21.0MiB live, 139.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (-.f64 x y) (+.f64 y x))
accuracy	0	(*.f64 x x)
accuracy	0.046875	(/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x x))))
accuracy	0.47328564744083945	(/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))
accuracy	0	(*.f64 x x)
accuracy	0	#s(approx (+ x y) (fma.f64 (/.f64 y x) x x))
accuracy	0.08660126953688403	(.f64 (fma.f64 y y (.f64 x x)) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (-.f64 x y)))
accuracy	7.711892423962067	(fma.f64 (/.f64 y x) x x)
accuracy	0	(*.f64 y y)
accuracy	0	(neg.f64 y)
accuracy	0.12566376953688402	(.f64 (.f64 (neg.f64 y) y) (*.f64 y y))
accuracy	27.571491705740915	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
accuracy	0	(*.f64 x x)
accuracy	0.10775375976844201	(.f64 (.f64 x x) (*.f64 x x))
accuracy	27.43921039103613	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 x x) (*.f64 x x)))
accuracy	0	(+.f64 y x)
accuracy	0	(*.f64 x x)
accuracy	0.05859375	(.f64 (-.f64 x y) (.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))))
accuracy	0.07421875	(.f64 (+.f64 y x) (fma.f64 y y (.f64 x x)))

Samples

53.0ms

256×

valid

Compiler

Compiled 191 to 29 computations (84.8% saved)

Precisions

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

ival-mult: 17.0ms (44.2% of total)

ival-pow: 7.0ms (18.2% of total)

ival-div: 5.0ms (13% of total)

ival-add: 5.0ms (13% of total)

ival-sub: 3.0ms (7.8% of total)

ival-neg: 1.0ms (2.6% of total)

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

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

exact: 0.0ms (0% of total)

series24.0ms (0.4%)

Memory

0.6MiB live, 38.3MiB allocated

Counts

19 → 384

Calls

Call 1

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

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

Calls

6 calls:

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

simplify225.0ms (3.4%)

Memory

-23.4MiB live, 209.3MiB allocated

Algorithm

1×	egg-herbie

Rules

12 376×	`lower-fma.f64`
12 376×	`lower-fma.f32`
3 564×	`lower-+.f64`
3 564×	`lower-+.f32`
3 236×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	338	3007
1	1053	2820
2	3378	2599
3	7637	2599
0	8458	2501

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 363

Calls

Call 1

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

Outputs
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(+ (* (pow x 2) y) (pow x 3))
(.f64 (.f64 (+.f64 y x) x) x)
(+ (* y (+ (* x y) (pow x 2))) (pow x 3))
(.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) x)
(+ (* y (+ (* y (+ x y)) (pow x 2))) (pow x 3))
(.f64 (+.f64 y x) (fma.f64 y y (.f64 x x)))
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(pow x 2)
(*.f64 x x)
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(+ (* -1 (pow y 4)) (pow x 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(+ (* -1 (pow y 4)) (pow x 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(+ (* -1 (pow y 4)) (pow x 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(+ (* -1 (pow y 4)) (pow x 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(+ (* -1 (pow y 4)) (pow x 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(+ (* -1 (pow y 4)) (pow x 4))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 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 y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4))
(pow.f64 x #s(literal 4 binary64))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4))
(pow.f64 x #s(literal 4 binary64))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4))
(pow.f64 x #s(literal 4 binary64))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(+ (* -1 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2)))
(/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(+ (* (pow y 2) (- (/ (pow y 2) (pow x 6)) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))
(fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 6 binary64))) y (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 y y) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) (pow x 8))) (/ 1 (pow x 6)))) (/ 1 (pow x 4)))) (/ 1 (pow x 2)))
(fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 6 binary64))) y (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 y y) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4))
(pow.f64 x #s(literal 4 binary64))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4))
(pow.f64 x #s(literal 4 binary64))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4))
(pow.f64 x #s(literal 4 binary64))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4))
(pow.f64 x #s(literal 4 binary64))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4))
(pow.f64 x #s(literal 4 binary64))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4))
(pow.f64 x #s(literal 4 binary64))
(pow x 2)
(*.f64 x x)
(+ (* y (+ x (* -1 x))) (pow x 2))
(*.f64 x x)
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(pow y 3)
(pow.f64 y #s(literal 3 binary64))
(* (pow y 3) (+ 1 (/ x y)))
(*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (+ 1 (+ (/ x y) (/ (pow x 2) (pow y 2)))))
(*.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 x y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 3) (+ 1 (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3))))))
(*.f64 (fma.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 x y) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 y #s(literal 3 binary64)))
y
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y) y)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y) y)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y) y)
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 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)
y
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1))
(.f64 (fma.f64 #s(literal 0 binary64) (.f64 (/.f64 (/.f64 x y) y) x) #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3))))))) 1))
(.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (.f64 (/.f64 (/.f64 x y) y) (fma.f64 (/.f64 x y) x x)) #s(literal 0 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ (+ 1 (* -1 (/ (pow x 2) (pow y 2)))) (pow y 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) #s(literal 1 binary64)) y) y)
(/ (- (+ 1 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2))) (pow y 2))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))) (*.f64 y y))
(/ (- (+ 1 (* -1 (/ (pow x 6) (pow y 6)))) (+ (* -1 (/ (pow x 4) (pow y 4))) (/ (pow x 2) (pow y 2)))) (pow y 2))
(/.f64 (-.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 y y))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1))
(.f64 (fma.f64 #s(literal 0 binary64) (.f64 (/.f64 (/.f64 x y) y) x) #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3))))))) 1))
(.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (.f64 (/.f64 (/.f64 x y) y) (fma.f64 (/.f64 x y) x x)) #s(literal 0 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
y
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1))
(.f64 (fma.f64 #s(literal 0 binary64) (.f64 (/.f64 (/.f64 x y) y) x) #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (/ x y) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 3) (pow y 3))))))) 1))
(.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (.f64 (/.f64 (/.f64 x y) y) (fma.f64 (/.f64 x y) x x)) #s(literal 0 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(pow y 3)
(pow.f64 y #s(literal 3 binary64))
(* -1 (* (pow y 3) (- (* -1 (/ x y)) 1)))
(*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ x (/ (pow x 2) y)) y)) 1)))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 x y) x x) y) #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (pow y 3) (- (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y))) y)) 1)))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 (.f64 x (fma.f64 (/.f64 x y) x x)) y) x) y) #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 (/.f64 x y) y y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 (/.f64 x y) y y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 (/.f64 x y) y y)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y) y)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y) y)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) y) y)
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
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(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))
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(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x))))
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x))))
(pow.f64 x #s(literal 4 binary64))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* -1 (/ (pow y 2) (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(/ (- (+ 1 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2))) (pow x 2))
(/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 y x) x) y #s(literal -1 binary64))) (*.f64 x x))
(/ (- (+ 1 (* -1 (/ (pow y 6) (pow x 6)))) (+ (* -1 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2)))) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 (/.f64 y x) x) y #s(literal -1 binary64))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 x x))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x))))
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x))))
(pow.f64 x #s(literal 4 binary64))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x))))
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x))))
(pow.f64 x #s(literal 4 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(.f64 (.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(.f64 (.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x)

rewrite224.0ms (3.4%)

Memory

4.3MiB live, 229.4MiB allocated

Rules

4 944×	`lower-/.f32`
4 938×	`lower-/.f64`
4 814×	`lower-fma.f32`
4 810×	`lower-fma.f64`
4 168×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	162
0	48	152
1	189	130
2	1475	127
0	8188	124

Stop Event

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

Counts

19 → 1 413

Calls

Call 1

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

Outputs
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eval423.0ms (6.4%)

Memory: 18.7MiB live, 551.2MiB allocated
Compiler: Compiled 65 942 to 5 103 computations (92.3% saved)

prune56.0ms (0.9%)

Memory

10.6MiB live, 203.8MiB allocated

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	2 367	7	2 374
Fresh	0	2	2
Picked	2	3	5
Done	0	2	2
Total	2 369	14	2 383

Accuracy

100.0%

Counts

2 383 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.8%	(/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( y y) (* x x)) (*.f64 x x))))
	56.9%	(/.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(approx (/ 1 (+ ( y y) (* x x))) (/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x)))
▶	93.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x)))))
▶	47.5%	(.f64 (fma.f64 y y (.f64 x x)) (.f64 (.f64 (-.f64 x y) (.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 1 binary64))) (fma.f64 y (+.f64 y x) (*.f64 x x))))
▶	93.5%	(.f64 (fma.f64 y y (.f64 x x)) #s(approx (* (+ x y) (- x y)) (.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)))
	44.9%	(.f64 (-.f64 x y) (/.f64 (fma.f64 (.f64 (.f64 (+.f64 y x) (-.f64 y x)) (.f64 y y)) (-.f64 y x) (.f64 (-.f64 y x) (.f64 (.f64 (+.f64 y x) (-.f64 y x)) (.f64 x x)))) (*.f64 (-.f64 y x) (-.f64 y x))))
✓	99.9%	(.f64 (-.f64 x y) (.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))))
	75.1%	(.f64 (-.f64 x y) (.f64 (+.f64 y x) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))
▶	73.5%	(.f64 (-.f64 x y) (.f64 (+.f64 y x) #s(approx (+ (* y y) (* x x)) (*.f64 x x))))
▶	78.7%	(.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (-.f64 x y)))
✓	57.1%	#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
✓	56.8%	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
✓	57.1%	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 x x) (*.f64 x x)))
✓	56.9%	#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))

Compiler

Compiled 432 to 235 computations (45.6% saved)

simplify164.0ms (2.5%)

Memory

11.4MiB live, 239.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 y y (*.f64 x x))
cost-diff	128	(.f64 (fma.f64 y y (.f64 x x)) (.f64 (.f64 (-.f64 x y) (.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 1 binary64))) (fma.f64 y (+.f64 y x) (*.f64 x x))))
cost-diff	320	(.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 1 binary64))
cost-diff	2688	(.f64 (.f64 (-.f64 x y) (.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 1 binary64))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 y y (*.f64 x x))
cost-diff	0	(.f64 (fma.f64 y y (.f64 x x)) #s(approx (* (+ x y) (- x y)) (.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)))
cost-diff	576	(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y)
cost-diff	0	(*.f64 y y)
cost-diff	0	#s(approx (+ (* y y) (* x x)) (*.f64 y y))
cost-diff	0	(.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (-.f64 x y)))
cost-diff	896	(fma.f64 (/.f64 y x) x x)
cost-diff	0	(+.f64 y x)
cost-diff	0	(.f64 (+.f64 y x) #s(approx (+ ( y y) (* x x)) (*.f64 x x)))
cost-diff	0	(-.f64 x y)
cost-diff	0	(.f64 (-.f64 x y) (.f64 (+.f64 y x) #s(approx (+ (* y y) (* x x)) (*.f64 x x))))
cost-diff	0	(.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x)))
cost-diff	0	(+.f64 y x)
cost-diff	64	(/.f64 (+.f64 y x) (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x))))
cost-diff	2176	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x)))))

Rules

10 270×	`lower-fma.f32`
10 260×	`lower-fma.f64`
4 324×	`lower-*.f32`
4 292×	`lower-*.f64`
3 206×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	43	454
0	75	417
1	152	417
2	474	404
3	2528	382
4	5697	378
5	7909	378
0	9431	378

Stop Event

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

Calls

Call 1

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

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

localize120.0ms (1.8%)

Memory

10.1MiB live, 190.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.015625	(fma.f64 y (+.f64 y x) (*.f64 x x))
accuracy	0.08660126953688403	(.f64 (fma.f64 y y (.f64 x x)) (.f64 (.f64 (-.f64 x y) (.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 1 binary64))) (fma.f64 y (+.f64 y x) (*.f64 x x))))
accuracy	0.1484375	(.f64 (-.f64 x y) (.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(literal 1 binary64)))
accuracy	31.544171849161824	(/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (*.f64 x x)))
accuracy	0.08660126953688403	(.f64 (fma.f64 y y (.f64 x x)) #s(approx (* (+ x y) (- x y)) (.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)))
accuracy	0.11394501953688403	(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))
accuracy	2.6020145688117013	(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)
accuracy	3.5764233305172275	(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y)
accuracy	0	#s(approx (+ x y) (fma.f64 (/.f64 y x) x x))
accuracy	0.08660126953688403	(.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (-.f64 x y)))
accuracy	7.711892423962067	(fma.f64 (/.f64 y x) x x)
accuracy	26.566086105732346	#s(approx (+ (* y y) (* x x)) (*.f64 y y))
accuracy	0	(*.f64 x x)
accuracy	0.05859375	(.f64 (-.f64 x y) (.f64 (+.f64 y x) #s(approx (+ (* y y) (* x x)) (*.f64 x x))))
accuracy	0.07421875	(.f64 (+.f64 y x) #s(approx (+ ( y y) (* x x)) (*.f64 x x)))
accuracy	27.593801191349925	#s(approx (+ (* y y) (* x x)) (*.f64 x x))
accuracy	0.07421875	(.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x))
accuracy	0.12393453427658313	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x)))))
accuracy	1.9382873823172693	(/.f64 (+.f64 y x) (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x))))
accuracy	2.253881478450042	(fma.f64 x x (*.f64 (neg.f64 y) y))

Samples

85.0ms

256×

valid

Compiler

Compiled 419 to 38 computations (90.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 45.0ms (69.6% of total)

ival-div: 8.0ms (12.4% of total)

ival-add: 8.0ms (12.4% of total)

ival-sub: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

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

exact: 0.0ms (0% of total)

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

series54.0ms (0.8%)

Memory

-10.0MiB live, 79.0MiB allocated

Counts

27 → 624

Calls

Call 1

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

Outputs
#s(alt (pow x 4) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x))))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow y 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow x 4)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x))))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow y 2) (+ (* -1 (pow x 2)) (+ (* -1 (pow y 2)) (pow x 2)))) (pow x 4)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x))))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow y 2) (+ (* -1 (pow x 2)) (+ (* -1 (pow y 2)) (pow x 2)))) (pow x 4)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 4)) (taylor 0 y) (#s(alt (/.f64 (+.f64 y x) (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x)))) (patch (/.f64 (+.f64 y x) (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 (pow x 4)) (/ (pow y 4) (pow x 8))) (taylor 0 y) (#s(alt (/.f64 (+.f64 y x) (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x)))) (patch (/.f64 (+.f64 y x) (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow y 4) (+ (/ 1 (pow x 8)) (/ (pow y 4) (pow x 12)))) (/ 1 (pow x 4))) (taylor 0 y) (#s(alt (/.f64 (+.f64 y x) (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x)))) (patch (/.f64 (+.f64 y x) (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow y 4) (+ (* (pow y 4) (+ (/ 1 (pow x 12)) (/ (pow y 4) (pow x 16)))) (/ 1 (pow x 8)))) (/ 1 (pow x 4))) (taylor 0 y) (#s(alt (/.f64 (+.f64 y x) (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x)))) (patch (/.f64 (+.f64 y x) (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x)))) #<representation binary64>) () ())) ())
#s(alt x (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 (pow x 5) (taylor 0 y) (#s(alt (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x))) (patch (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x 4) y) (pow x 5)) (taylor 0 y) (#s(alt (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x))) (patch (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ (* x (* y (+ (* -1 (pow x 2)) (pow x 2)))) (pow x 4))) (pow x 5)) (taylor 0 y) (#s(alt (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x))) (patch (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x))) x)) 1))) (taylor -inf x) (#s(alt (.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x)) (patch (.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (* y y) (* x x)) (.f64 x x)) (patch #s(approx (+ ( y y) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt #s(approx (+ (* y y) (* x x)) (.f64 x x)) (patch #s(approx (+ ( y y) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt #s(approx (+ (* y y) (* x x)) (.f64 x x)) (patch #s(approx (+ ( y y) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2)))) (taylor -inf x) (#s(alt #s(approx (+ (* y y) (* x x)) (.f64 x x)) (patch #s(approx (+ ( y y) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (patch #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (patch #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (patch #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) (patch #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) (patch (.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) (patch (.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) (patch (.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) (patch (.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) (patch (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ (pow y 2) (pow x 2)) 1) x)) (taylor -inf x) (#s(alt (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) (patch (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) x)) (taylor -inf x) (#s(alt (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) (patch (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow y 4) x)) (/ (pow y 4) x)) (* -1 (pow y 3))) (pow x 3))) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) x)) (taylor -inf x) (#s(alt (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) (patch (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (.f64 (-.f64 x y) (.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 1 binary64))) (patch (.f64 (-.f64 x y) (.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor -inf x) (#s(alt (.f64 (-.f64 x y) (.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 1 binary64))) (patch (.f64 (-.f64 x y) (.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ y (/ (pow y 2) x)) x))) (taylor -inf x) (#s(alt (.f64 (-.f64 x y) (.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 1 binary64))) (patch (.f64 (-.f64 x y) (.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (* 2 (/ (pow y 3) x))) x))) x))) (taylor -inf x) (#s(alt (.f64 (-.f64 x y) (.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 1 binary64))) (patch (.f64 (-.f64 x y) (.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 y (+.f64 y x) (.f64 x x)) (patch (fma.f64 y (+.f64 y x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ y x))) (taylor -inf x) (#s(alt (fma.f64 y (+.f64 y x) (.f64 x x)) (patch (fma.f64 y (+.f64 y x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt (fma.f64 y (+.f64 y x) (.f64 x x)) (patch (fma.f64 y (+.f64 y x) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)))) (taylor -inf x) (#s(alt (fma.f64 y (+.f64 y x) (.f64 x x)) (patch (fma.f64 y (+.f64 y x) (.f64 x x)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	y	@	inf	((/ 1 (/ (+ y x) (* (+ (* x x) (* (neg y) y)) (* (+ (* y y) (* x x)) (+ y x))))) (/ (+ y x) (* (+ (* x x) (* (neg y) y)) (* (+ (* y y) (* x x)) (+ y x)))) (+ y x) (* (+ (* x x) (* (neg y) y)) (* (+ (* y y) (* x x)) (+ y x))) (* (- x y) (* (+ y x) (+ (* y y) (* x x)))) (- x y) (* (+ y x) (+ (* y y) (* x x))) (+ (* (/ y x) x) x) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* y y) (* (+ (* (/ x y) (/ x y)) -1) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (* (- x y) (* (/ (+ y x) (+ (* y (+ y x)) (* x x))) 1)) (+ (* y (+ y x)) (* x x))) (* (/ (+ y x) (+ (* y (+ y x)) (* x x))) 1) (* (+ (* y y) (* x x)) (* (* (- x y) (* (/ (+ y x) (+ (* y (+ y x)) (* x x))) 1)) (+ (* y (+ y x)) (* x x)))) (+ (* x x) (* (neg y) y)) (* (+ (* y y) (* x x)) (+ y x)) (+ (* y y) (* x x)) (+ x y) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (+ (* (/ x y) (/ x y)) -1) (/ (+ y x) (+ (* y (+ y x)) (* x x))) (* (- x y) (* (/ (+ y x) (+ (* y (+ y x)) (* x x))) 1)) (+ (* y (+ y x)) (* x x)))
5.0ms	x	@	0	((/ 1 (/ (+ y x) (* (+ (* x x) (* (neg y) y)) (* (+ (* y y) (* x x)) (+ y x))))) (/ (+ y x) (* (+ (* x x) (* (neg y) y)) (* (+ (* y y) (* x x)) (+ y x)))) (+ y x) (* (+ (* x x) (* (neg y) y)) (* (+ (* y y) (* x x)) (+ y x))) (* (- x y) (* (+ y x) (+ (* y y) (* x x)))) (- x y) (* (+ y x) (+ (* y y) (* x x))) (+ (* (/ y x) x) x) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* y y) (* (+ (* (/ x y) (/ x y)) -1) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (* (- x y) (* (/ (+ y x) (+ (* y (+ y x)) (* x x))) 1)) (+ (* y (+ y x)) (* x x))) (* (/ (+ y x) (+ (* y (+ y x)) (* x x))) 1) (* (+ (* y y) (* x x)) (* (* (- x y) (* (/ (+ y x) (+ (* y (+ y x)) (* x x))) 1)) (+ (* y (+ y x)) (* x x)))) (+ (* x x) (* (neg y) y)) (* (+ (* y y) (* x x)) (+ y x)) (+ (* y y) (* x x)) (+ x y) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (+ (* (/ x y) (/ x y)) -1) (/ (+ y x) (+ (* y (+ y x)) (* x x))) (* (- x y) (* (/ (+ y x) (+ (* y (+ y x)) (* x x))) 1)) (+ (* y (+ y x)) (* x x)))
3.0ms	x	@	inf	((/ 1 (/ (+ y x) (* (+ (* x x) (* (neg y) y)) (* (+ (* y y) (* x x)) (+ y x))))) (/ (+ y x) (* (+ (* x x) (* (neg y) y)) (* (+ (* y y) (* x x)) (+ y x)))) (+ y x) (* (+ (* x x) (* (neg y) y)) (* (+ (* y y) (* x x)) (+ y x))) (* (- x y) (* (+ y x) (+ (* y y) (* x x)))) (- x y) (* (+ y x) (+ (* y y) (* x x))) (+ (* (/ y x) x) x) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* y y) (* (+ (* (/ x y) (/ x y)) -1) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (* (- x y) (* (/ (+ y x) (+ (* y (+ y x)) (* x x))) 1)) (+ (* y (+ y x)) (* x x))) (* (/ (+ y x) (+ (* y (+ y x)) (* x x))) 1) (* (+ (* y y) (* x x)) (* (* (- x y) (* (/ (+ y x) (+ (* y (+ y x)) (* x x))) 1)) (+ (* y (+ y x)) (* x x)))) (+ (* x x) (* (neg y) y)) (* (+ (* y y) (* x x)) (+ y x)) (+ (* y y) (* x x)) (+ x y) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (+ (* (/ x y) (/ x y)) -1) (/ (+ y x) (+ (* y (+ y x)) (* x x))) (* (- x y) (* (/ (+ y x) (+ (* y (+ y x)) (* x x))) 1)) (+ (* y (+ y x)) (* x x)))
3.0ms	y	@	-inf	((/ 1 (/ (+ y x) (* (+ (* x x) (* (neg y) y)) (* (+ (* y y) (* x x)) (+ y x))))) (/ (+ y x) (* (+ (* x x) (* (neg y) y)) (* (+ (* y y) (* x x)) (+ y x)))) (+ y x) (* (+ (* x x) (* (neg y) y)) (* (+ (* y y) (* x x)) (+ y x))) (* (- x y) (* (+ y x) (+ (* y y) (* x x)))) (- x y) (* (+ y x) (+ (* y y) (* x x))) (+ (* (/ y x) x) x) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* y y) (* (+ (* (/ x y) (/ x y)) -1) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (* (- x y) (* (/ (+ y x) (+ (* y (+ y x)) (* x x))) 1)) (+ (* y (+ y x)) (* x x))) (* (/ (+ y x) (+ (* y (+ y x)) (* x x))) 1) (* (+ (* y y) (* x x)) (* (* (- x y) (* (/ (+ y x) (+ (* y (+ y x)) (* x x))) 1)) (+ (* y (+ y x)) (* x x)))) (+ (* x x) (* (neg y) y)) (* (+ (* y y) (* x x)) (+ y x)) (+ (* y y) (* x x)) (+ x y) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (+ (* (/ x y) (/ x y)) -1) (/ (+ y x) (+ (* y (+ y x)) (* x x))) (* (- x y) (* (/ (+ y x) (+ (* y (+ y x)) (* x x))) 1)) (+ (* y (+ y x)) (* x x)))
3.0ms	y	@	0	((/ 1 (/ (+ y x) (* (+ (* x x) (* (neg y) y)) (* (+ (* y y) (* x x)) (+ y x))))) (/ (+ y x) (* (+ (* x x) (* (neg y) y)) (* (+ (* y y) (* x x)) (+ y x)))) (+ y x) (* (+ (* x x) (* (neg y) y)) (* (+ (* y y) (* x x)) (+ y x))) (* (- x y) (* (+ y x) (+ (* y y) (* x x)))) (- x y) (* (+ y x) (+ (* y y) (* x x))) (+ (* (/ y x) x) x) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* y y) (* (+ (* (/ x y) (/ x y)) -1) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (* x x) (* (* (- x y) (* (/ (+ y x) (+ (* y (+ y x)) (* x x))) 1)) (+ (* y (+ y x)) (* x x))) (* (/ (+ y x) (+ (* y (+ y x)) (* x x))) 1) (* (+ (* y y) (* x x)) (* (* (- x y) (* (/ (+ y x) (+ (* y (+ y x)) (* x x))) 1)) (+ (* y (+ y x)) (* x x)))) (+ (* x x) (* (neg y) y)) (* (+ (* y y) (* x x)) (+ y x)) (+ (* y y) (* x x)) (+ x y) (* (* (+ (* (/ x y) (/ x y)) -1) y) y) (+ (* (/ x y) (/ x y)) -1) (/ (+ y x) (+ (* y (+ y x)) (* x x))) (* (- x y) (* (/ (+ y x) (+ (* y (+ y x)) (* x x))) 1)) (+ (* y (+ y x)) (* x x)))

simplify187.0ms (2.8%)

Memory

-14.5MiB live, 211.2MiB allocated

Algorithm

1×	egg-herbie

Rules

6 610×	`lower-fma.f64`
6 610×	`lower-fma.f32`
3 286×	`lower-+.f64`
3 286×	`lower-+.f32`
2 916×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	636	6088
1	2022	5357
2	6666	5155
0	8593	4939

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 603

Calls

Call 1

Inputs
(pow x 4)
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow x 4))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (+ (* -1 (pow y 2)) (pow x 2)))) (pow x 4))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (+ (* -1 (pow y 2)) (pow x 2)))) (pow x 4))
(/ 1 (pow x 4))
(+ (/ 1 (pow x 4)) (/ (pow y 4) (pow x 8)))
(+ (* (pow y 4) (+ (/ 1 (pow x 8)) (/ (pow y 4) (pow x 12)))) (/ 1 (pow x 4)))
(+ (* (pow y 4) (+ (* (pow y 4) (+ (/ 1 (pow x 12)) (/ (pow y 4) (pow x 16)))) (/ 1 (pow x 8)))) (/ 1 (pow x 4)))
x
(+ x y)
(+ x y)
(+ x y)
(pow x 5)
(+ (* (pow x 4) y) (pow x 5))
(+ (* y (+ (* x (* y (+ (* -1 (pow x 2)) (pow x 2)))) (pow x 4))) (pow x 5))
(+ (* y (+ (* y (+ (* x (+ (* -1 (pow x 2)) (pow x 2))) (* y (+ (* -1 (pow x 2)) (pow x 2))))) (pow x 4))) (pow x 5))
(pow x 4)
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(pow x 3)
(+ (* (pow x 2) y) (pow x 3))
(+ (* y (+ (* x y) (pow x 2))) (pow x 3))
(+ (* y (+ (* y (+ x y)) (pow x 2))) (pow x 3))
x
(+ x y)
(+ x y)
(+ x y)
(pow x 4)
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4))
(pow x 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ (pow x 2) y)
(/ (+ (* -1 (pow y 2)) (pow x 2)) y)
(/ (+ (* -1 (pow y 2)) (pow x 2)) y)
(/ (+ (* -1 (pow y 2)) (pow x 2)) y)
(pow x 4)
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4))
(pow x 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(pow x 2)
(+ (* y (+ x (* -1 x))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(/ 1 x)
(+ (* -1 (/ (pow y 2) (pow x 3))) (/ 1 x))
(+ (* (pow y 2) (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 x))
(+ (* (pow y 2) (- (* y (+ (* -1 (/ (pow y 2) (pow x 6))) (/ 1 (pow x 4)))) (/ 1 (pow x 3)))) (/ 1 x))
(pow x 4)
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4))
(pow x 2)
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* -1 (pow y 2)) (pow x 2))
(pow x 3)
(+ (* (pow x 2) y) (pow x 3))
(+ (* y (+ (* x y) (pow x 2))) (pow x 3))
(+ (* y (+ (* y (+ x y)) (pow x 2))) (pow x 3))
(pow x 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
x
(+ x y)
(+ x y)
(+ x y)
(pow x 2)
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* -1 (pow y 2)) (pow x 2))
(/ (pow x 2) (pow y 2))
(/ (+ (* -1 (pow y 2)) (pow x 2)) (pow y 2))
(/ (+ (* -1 (pow y 2)) (pow x 2)) (pow y 2))
(/ (+ (* -1 (pow y 2)) (pow x 2)) (pow y 2))
(/ 1 x)
(+ (* -1 (/ (pow y 2) (pow x 3))) (/ 1 x))
(+ (* (pow y 2) (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 x))
(+ (* (pow y 2) (- (* y (+ (* -1 (/ (pow y 2) (pow x 6))) (/ 1 (pow x 4)))) (/ 1 (pow x 3)))) (/ 1 x))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (* -1 (/ y (pow x 2))) (/ 1 x))))
(+ 1 (* y (- (* y (- (* 2 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(pow x 2)
(+ (* x y) (pow x 2))
(+ (* y (+ x y)) (pow x 2))
(+ (* y (+ x y)) (pow x 2))
(* -1 (pow y 4))
(* (pow y 4) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (pow x 2) (pow y 2))) 1))
(* (pow y 4) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 4) (pow y 4)))) 1))
(* (pow y 4) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 4) (pow y 4)))) 1))
(/ -1 (pow y 4))
(/ (- (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2))) 1) (pow y 4))
(/ (- (* -1 (/ (+ (pow x 4) (pow (+ (* -1 (pow x 2)) (pow x 2)) 2)) (pow y 4))) (+ 1 (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (pow x 2) (pow y 2))))) (pow y 4))
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x
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x
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(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2)))))))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3)))))))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(/ 1 x)
(/ (+ 1 (* -1 (/ (pow y 2) (pow x 2)))) x)
(/ (- (+ 1 (/ (pow y 3) (pow x 3))) (/ (pow y 2) (pow x 2))) x)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow y 4)) (pow y 4)) (pow x 4)))) (+ (* -1 (/ (pow y 3) (pow x 3))) (/ (pow y 2) (pow x 2)))) x)
(pow x 4)
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2)))))))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 3))) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3)))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(pow x 3)
(* (pow x 3) (+ 1 (/ y x)))
(* (pow x 3) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2)))))
(* (pow x 3) (+ 1 (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3))))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2))))
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2))))
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2))))
(/ 1 x)
(/ (+ 1 (* -1 (/ (pow y 2) (pow x 2)))) x)
(/ (- (+ 1 (/ (pow y 3) (pow x 3))) (/ (pow y 2) (pow x 2))) x)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow y 4)) (pow y 4)) (pow x 4)))) (+ (* -1 (/ (pow y 3) (pow x 3))) (/ (pow y 2) (pow x 2)))) x)
1
(+ 1 (* -1 (/ y x)))
(+ 1 (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2)))))
(- (+ 1 (+ (* -1 (/ y x)) (* 2 (/ (pow y 3) (pow x 3))))) (/ (pow y 2) (pow x 2)))
(pow x 2)
(* (pow x 2) (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (/ y x) (/ (pow y 2) (pow x 2)))))
(pow x 4)
(* (pow x 4) (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 4) (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2))))))
(* (pow x 4) (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2))))))
(/ 1 (pow x 4))
(/ (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow x 2)))) (pow x 4))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow y 4)) (* -1 (pow (+ (* -1 (pow y 2)) (pow y 2)) 2))) (pow x 4)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))) (pow x 4))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (+ (* -1 (pow y 2)) (pow y 2)) (+ (* -1 (pow y 4)) (* -1 (pow (+ (* -1 (pow y 2)) (pow y 2)) 2))))) (* (pow y 4) (+ (* -1 (pow y 2)) (pow y 2)))) (pow x 6)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 4) (pow x 4))) (+ (* -1 (/ (pow (+ (* -1 (pow y 2)) (pow y 2)) 2) (pow x 4))) (/ (pow y 2) (pow x 2)))))) (pow x 4))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(pow x 5)
(* -1 (* (pow x 5) (- (* -1 (/ y x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x))) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow y 3)) (pow y 3)) x)) (+ (* -1 (pow y 2)) (pow y 2))) x))) x)) 1)))
(pow x 4)
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x))))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(pow x 3)
(* -1 (* (pow x 3) (- (* -1 (/ y x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (/ (pow y 2) x)) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(pow x 4)
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x))))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y)))
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y)))
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y)))
(pow x 4)
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x))))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(/ 1 x)
(* -1 (/ (- (/ (pow y 2) (pow x 2)) 1) x))
(* -1 (/ (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow y 4) x)) (/ (pow y 4) x)) (* -1 (pow y 3))) (pow x 3))) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) x))
(pow x 4)
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x))))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(pow x 3)
(* -1 (* (pow x 3) (- (* -1 (/ y x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (/ (pow y 2) x)) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x))) x)) 1)))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2))))
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2))))
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2))))
(/ 1 x)
(* -1 (/ (- (/ (pow y 2) (pow x 2)) 1) x))
(* -1 (/ (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) x))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow y 4) x)) (/ (pow y 4) x)) (* -1 (pow y 3))) (pow x 3))) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) x))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ (+ y (/ (pow y 2) x)) x)))
(+ 1 (* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (* 2 (/ (pow y 3) x))) x))) x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x))))

Outputs
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow x 4))
(pow.f64 x #s(literal 4 binary64))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (+ (* -1 (pow y 2)) (pow x 2)))) (pow x 4))
(fma.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) y (pow.f64 x #s(literal 4 binary64)))
(+ (* (pow y 2) (+ (* -1 (pow x 2)) (+ (* -1 (pow y 2)) (pow x 2)))) (pow x 4))
(fma.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) y (pow.f64 x #s(literal 4 binary64)))
(/ 1 (pow x 4))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(+ (/ 1 (pow x 4)) (/ (pow y 4) (pow x 8)))
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))
(+ (* (pow y 4) (+ (/ 1 (pow x 8)) (/ (pow y 4) (pow x 12)))) (/ 1 (pow x 4)))
(+.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 12 binary64))))
(+ (* (pow y 4) (+ (* (pow y 4) (+ (/ 1 (pow x 12)) (/ (pow y 4) (pow x 16)))) (/ 1 (pow x 8)))) (/ 1 (pow x 4)))
(fma.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64)))) (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(pow x 5)
(pow.f64 x #s(literal 5 binary64))
(+ (* (pow x 4) y) (pow x 5))
(fma.f64 y (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))
(+ (* y (+ (* x (* y (+ (* -1 (pow x 2)) (pow x 2)))) (pow x 4))) (pow x 5))
(fma.f64 y (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))
(+ (* y (+ (* y (+ (* x (+ (* -1 (pow x 2)) (pow x 2))) (* y (+ (* -1 (pow x 2)) (pow x 2))))) (pow x 4))) (pow x 5))
(fma.f64 y (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4))
(pow.f64 x #s(literal 4 binary64))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4))
(pow.f64 x #s(literal 4 binary64))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4))
(pow.f64 x #s(literal 4 binary64))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(+ (* (pow x 2) y) (pow x 3))
(.f64 (.f64 (+.f64 y x) x) x)
(+ (* y (+ (* x y) (pow x 2))) (pow x 3))
(.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) x)
(+ (* y (+ (* y (+ x y)) (pow x 2))) (pow x 3))
(fma.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) y (pow.f64 x #s(literal 3 binary64)))
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4))
(pow.f64 x #s(literal 4 binary64))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4))
(pow.f64 x #s(literal 4 binary64))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4))
(pow.f64 x #s(literal 4 binary64))
(pow x 2)
(*.f64 x x)
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 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 x 2) y)
(/.f64 (*.f64 x x) y)
(/ (+ (* -1 (pow y 2)) (pow x 2)) y)
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) y)
(/ (+ (* -1 (pow y 2)) (pow x 2)) y)
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) y)
(/ (+ (* -1 (pow y 2)) (pow x 2)) y)
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) y)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4))
(pow.f64 x #s(literal 4 binary64))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4))
(pow.f64 x #s(literal 4 binary64))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4))
(pow.f64 x #s(literal 4 binary64))
(pow x 2)
(*.f64 x x)
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (* y (+ x (* -1 x))) (pow x 2))
(*.f64 x x)
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(*.f64 (+.f64 y x) (-.f64 x y))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(*.f64 (+.f64 y x) (-.f64 x y))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ (pow y 2) (pow x 3))) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (/.f64 y x) x))) x)
(+ (* (pow y 2) (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 x))
(fma.f64 (-.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y) (/.f64 #s(literal 1 binary64) x))
(+ (* (pow y 2) (- (* y (+ (* -1 (/ (pow y 2) (pow x 6))) (/ 1 (pow x 4)))) (/ 1 (pow x 3)))) (/ 1 x))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (/.f64 y (pow.f64 x #s(literal 6 binary64))))) y (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 y y) (/.f64 #s(literal 1 binary64) x))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(+ (* y (+ (* -1 (pow x 3)) (pow x 3))) (pow x 4))
(pow.f64 x #s(literal 4 binary64))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (pow x 2))) (pow x 3)))) (pow x 4))
(pow.f64 x #s(literal 4 binary64))
(+ (* y (+ (* -1 (pow x 3)) (+ (* y (+ (* -1 (pow x 2)) (+ (* y (+ x (* -1 x))) (pow x 2)))) (pow x 3)))) (pow x 4))
(pow.f64 x #s(literal 4 binary64))
(pow x 2)
(*.f64 x x)
(+ (* -1 (pow y 2)) (pow x 2))
(*.f64 (+.f64 y x) (-.f64 x y))
(+ (* -1 (pow y 2)) (pow x 2))
(*.f64 (+.f64 y x) (-.f64 x y))
(+ (* -1 (pow y 2)) (pow x 2))
(*.f64 (+.f64 y x) (-.f64 x y))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(+ (* (pow x 2) y) (pow x 3))
(.f64 (.f64 (+.f64 y x) x) x)
(+ (* y (+ (* x y) (pow x 2))) (pow x 3))
(.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) x)
(+ (* y (+ (* y (+ x y)) (pow x 2))) (pow x 3))
(fma.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) y (pow.f64 x #s(literal 3 binary64)))
(pow x 2)
(*.f64 x x)
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(pow x 2)
(*.f64 x x)
(+ (* -1 (pow y 2)) (pow x 2))
(*.f64 (+.f64 y x) (-.f64 x y))
(+ (* -1 (pow y 2)) (pow x 2))
(*.f64 (+.f64 y x) (-.f64 x y))
(+ (* -1 (pow y 2)) (pow x 2))
(*.f64 (+.f64 y x) (-.f64 x y))
(/ (pow x 2) (pow y 2))
(/.f64 (/.f64 (*.f64 x x) y) y)
(/ (+ (* -1 (pow y 2)) (pow x 2)) (pow y 2))
(/.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) y) y)
(/ (+ (* -1 (pow y 2)) (pow x 2)) (pow y 2))
(/.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) y) y)
(/ (+ (* -1 (pow y 2)) (pow x 2)) (pow y 2))
(/.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) y) y)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ (pow y 2) (pow x 3))) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (/.f64 y x) x))) x)
(+ (* (pow y 2) (- (/ y (pow x 4)) (/ 1 (pow x 3)))) (/ 1 x))
(fma.f64 (-.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y) (/.f64 #s(literal 1 binary64) x))
(+ (* (pow y 2) (- (* y (+ (* -1 (/ (pow y 2) (pow x 6))) (/ 1 (pow x 4)))) (/ 1 (pow x 3)))) (/ 1 x))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y (/.f64 y (pow.f64 x #s(literal 6 binary64))))) y (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 y y) (/.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* y (- (* -1 (/ y (pow x 2))) (/ 1 x))))
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(pow.f64 x #s(literal 4 binary64))
x
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* -1 (* (pow x 3) (- (* -1 (/ y x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (/ (pow y 2) x)) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x))) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) x) y) x)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 (neg.f64 y) x) (neg.f64 x) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 (neg.f64 y) x) (neg.f64 x) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 (neg.f64 y) x) (neg.f64 x) x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x))))
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x))))
(pow.f64 x #s(literal 4 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y)))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 y x) x)) x) x)
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y)))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 y x) x)) x) x)
(* (pow x 2) (+ (* -1 (/ y (pow x 2))) (/ 1 y)))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 y x) x)) x) x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x))))
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x))))
(pow.f64 x #s(literal 4 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (/.f64 y x) x))) x) x)
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (/.f64 y x) x))) x) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ (pow y 2) (pow x 2)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (/.f64 y x) x))) x)
(* -1 (/ (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) x))
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64))) x)
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow y 4) x)) (/ (pow y 4) x)) (* -1 (pow y 3))) (pow x 3))) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) x))
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64))) x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x))) x))))
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (* -1 (/ (+ (* -1 (+ (* -1 (pow y 2)) (pow y 2))) (+ (* -1 (/ (pow y 3) x)) (/ (pow y 3) x))) x))) x))))
(pow.f64 x #s(literal 4 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (/.f64 y x) x))) x) x)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (/.f64 y x) x))) x) x)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (/.f64 y x) x))) x) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* -1 (* (pow x 3) (- (* -1 (/ y x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y x)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (/ (pow y 2) x)) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x))) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) x) y) x)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 (neg.f64 y) x) (neg.f64 x) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 (neg.f64 y) x) (neg.f64 x) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 (neg.f64 y) x) (neg.f64 x) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (/.f64 y x) x))) x) x)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (/.f64 y x) x))) x) x)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (/.f64 y x) x))) x) x)
(/ (pow x 2) (pow y 2))
(/.f64 (/.f64 (*.f64 x x) y) y)
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2))))
(.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2))))
(.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2))))
(.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ (pow y 2) (pow x 2)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (/.f64 y x) x))) x)
(* -1 (/ (- (* -1 (/ (pow y 3) (pow x 3))) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) x))
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64))) x)
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow y 4) x)) (/ (pow y 4) x)) (* -1 (pow y 3))) (pow x 3))) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) x))
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64))) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* -1 (/ (+ y (/ (pow y 2) x)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x))
(+ 1 (* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (* 2 (/ (pow y 3) x))) x))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (/.f64 (fma.f64 (neg.f64 y) y (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 2 binary64))) x)) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ y x)))
(*.f64 (fma.f64 (/.f64 y x) x x) x)
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x))))
(.f64 (.f64 (+.f64 (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x))))
(.f64 (.f64 (+.f64 (/.f64 (fma.f64 y (/.f64 y x) y) x) #s(literal 1 binary64)) x) x)

rewrite229.0ms (3.5%)

Memory

30.3MiB live, 358.7MiB allocated

Rules

5 406×	`lower-/.f32`
5 396×	`lower-/.f64`
4 946×	`lower-fma.f32`
4 936×	`lower-fma.f64`
3 638×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	362
0	75	360
1	261	270
2	2334	267
0	8714	264

Stop Event

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

Counts

27 → 1 553

Calls

Call 1

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

Outputs
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eval811.0ms (12.3%)

Memory: 7.4MiB live, 900.1MiB allocated
Compiler: Compiled 115 901 to 8 628 computations (92.6% saved)

prune183.0ms (2.8%)

Memory

14.5MiB live, 169.8MiB allocated

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	3 091	8	3 099
Fresh	2	2	4
Picked	4	1	5
Done	0	5	5
Total	3 097	16	3 113

Accuracy

100.0%

Counts

3 113 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.8%	(/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( y y) (* x x)) (*.f64 x x))))
	55.3%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (.f64 #s(approx (+ ( x x) (* (neg y) y)) (.f64 x x)) (.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)))))
	80.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)) (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x)))))
	47.5%	(.f64 (fma.f64 y y (.f64 x x)) (.f64 (/.f64 (-.f64 x y) (/.f64 (fma.f64 (+.f64 x y) y (.f64 x x)) (+.f64 x y))) (fma.f64 y (+.f64 y x) (*.f64 x x))))
	71.7%	(.f64 (fma.f64 y y (.f64 x x)) (.f64 (.f64 (-.f64 x y) #s(approx (* (/ (+ y x) (+ (* y (+ y x)) (* x x))) 1) (/.f64 #s(literal 1 binary64) y))) (fma.f64 y (+.f64 y x) (*.f64 x x))))
	88.0%	(.f64 (fma.f64 y y (.f64 x x)) #s(approx (* (+ x y) (- x y)) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 y y)))))
	99.2%	(.f64 (fma.f64 y y (.f64 x x)) #s(approx (* (+ x y) (- x y)) (.f64 #s(approx ( (+ (* (/ x y) (/ x y)) -1) y) (fma.f64 (/.f64 x y) x (neg.f64 y))) y)))
✓	99.9%	(.f64 (-.f64 x y) (.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))))
	75.1%	(.f64 (-.f64 x y) (.f64 (+.f64 y x) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))
✓	73.5%	(.f64 (-.f64 x y) (.f64 (+.f64 y x) #s(approx (+ (* y y) (* x x)) (*.f64 x x))))
	61.5%	(.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)) #s(approx (- x y) (neg.f64 y))))
	68.9%	(.f64 #s(approx (+ ( y y) (* x x)) (.f64 x x)) #s(approx ( (+ x y) (- x y)) (.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)))
✓	57.1%	#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
✓	56.8%	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
✓	57.1%	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 x x) (*.f64 x x)))
✓	56.9%	#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))

Compiler

Compiled 729 to 264 computations (63.8% saved)

regimes63.0ms (1%)

Memory

-70.6MiB live, 53.8MiB allocated

Counts

26 → 1

Calls

Call 1

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

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

Calls

5 calls:

21.0ms	x
21.0ms	(pow.f64 y #s(literal 4 binary64))
7.0ms	y
6.0ms	(pow.f64 x #s(literal 4 binary64))
6.0ms	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`
99.9%	1	`(pow.f64 x #s(literal 4 binary64))`
99.9%	1	`(pow.f64 y #s(literal 4 binary64))`

Compiler

Compiled 15 to 18 computations (-20% saved)

regimes10.0ms (0.2%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 x x) (*.f64 x x)))
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
(.f64 (-.f64 x y) (.f64 (+.f64 y x) #s(approx (+ (* y y) (* x x)) (*.f64 x x))))
(.f64 (-.f64 x y) (.f64 (+.f64 y x) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))

Outputs
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
(.f64 (-.f64 x y) (.f64 (+.f64 y x) #s(approx (+ (* y y) (* x x)) (*.f64 x x))))

Calls

5 calls:

2.0ms	x
2.0ms	y
2.0ms	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
2.0ms	(pow.f64 y #s(literal 4 binary64))
2.0ms	(pow.f64 x #s(literal 4 binary64))

Results

Accuracy	Segments	Branch
95.6%	3	`x`
96.1%	3	`y`
99.9%	2	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`
95.3%	2	`(pow.f64 x #s(literal 4 binary64))`
96.1%	2	`(pow.f64 y #s(literal 4 binary64))`

Compiler

Compiled 15 to 18 computations (-20% saved)

regimes8.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 x x) (*.f64 x x)))
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))

Outputs
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 x x) (*.f64 x x)))

Calls

5 calls:

2.0ms	y
2.0ms	x
1.0ms	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
1.0ms	(pow.f64 x #s(literal 4 binary64))
1.0ms	(pow.f64 y #s(literal 4 binary64))

Results

Accuracy	Segments	Branch
83.0%	3	`x`
84.4%	3	`y`
82.3%	2	`(pow.f64 x #s(literal 4 binary64))`
82.7%	2	`(pow.f64 y #s(literal 4 binary64))`
92.4%	2	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`

Compiler

Compiled 15 to 18 computations (-20% saved)

regimes6.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 x x) (*.f64 x x)))

Outputs
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 x x) (*.f64 x x)))

Calls

5 calls:

1.0ms	y
1.0ms	x
1.0ms	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
1.0ms	(pow.f64 y #s(literal 4 binary64))
1.0ms	(pow.f64 x #s(literal 4 binary64))

Results

Accuracy	Segments	Branch
57.1%	1	`x`
57.1%	1	`(pow.f64 x #s(literal 4 binary64))`
57.1%	1	`(pow.f64 y #s(literal 4 binary64))`
57.1%	1	`y`
57.1%	1	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`

Compiler

Compiled 15 to 18 computations (-20% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.57641e-318	0.0

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.57641e-318	0.0

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify45.0ms (0.7%)

Memory

1.2MiB live, 40.6MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`-commutative-binary64-.f64`
14×	`+-commutative-binary64-+.f64`
12×	`sub-neg-binary64-neg.f64-+.f64--.f64`
8×	`neg-sub0-binary64--.f64-neg.f64`
8×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	115
1	47	115
2	57	115
3	64	115
4	68	115
5	69	115

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (-.f64 x y) (.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))))
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1012011/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (.f64 y y))) (.f64 (-.f64 x y) (.f64 (+.f64 y x) #s(approx (+ ( y y) (* x x)) (*.f64 x x)))))
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1012011/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (.f64 y y))) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 x x) (*.f64 x x)))

Outputs
(.f64 (-.f64 x y) (.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))))
(.f64 (.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)) (-.f64 x y))
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1012011/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (.f64 y y))) (.f64 (-.f64 x y) (.f64 (+.f64 y x) #s(approx (+ ( y y) (* x x)) (*.f64 x x)))))
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1012011/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 y y) (.f64 (neg.f64 y) y))) (.f64 (.f64 #s(approx (+ ( y y) (* x x)) (*.f64 x x)) (+.f64 y x)) (-.f64 x y)))
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1012011/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (.f64 y y))) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 x x) (.f64 x x))))
(if (<=.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1012011/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 y y) (.f64 (neg.f64 y) y))) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 x x) (*.f64 x x)))

soundness936.0ms (14.2%)

Memory

-18.7MiB live, 453.4MiB allocated

Rules

19 848×	`lower-fma.f64`
19 848×	`lower-fma.f32`
12 376×	`lower-fma.f64`
12 376×	`lower-fma.f32`
9 098×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	219
1	37	219
2	67	219
3	168	219
4	343	219
5	621	219
6	2846	219
7	5704	219
0	8227	219
0	338	3007
1	1053	2820
2	3378	2599
3	7637	2599
0	8458	2501
0	6	13
0	9	13
1	36	13
2	225	13
3	1989	13
0	8607	13
0	17	66
0	26	66
1	91	59
2	658	59
0	8437	59

Stop Event

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

Compiler

Compiled 249 to 123 computations (50.6% saved)

preprocess49.0ms (0.7%)

Memory: -4.0MiB live, 71.4MiB allocated
Compiler: Compiled 174 to 64 computations (63.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	14	41
1	30	41
2	68	39
3	121	39
4	213	39
5	333	39
6	376	39
7	396	39
0	6	7
0	9	7
1	11	7
2	16	7
3	22	7
4	30	7
5	45	7
6	78	7
7	103	7
8	145	7
9	160	7
10	168	7
0	168	7

Iter	Nodes	Cost
0	6	16
0	9	16
1	11	16
2	16	16
3	22	16
4	30	16
5	45	16
6	78	16
7	103	16
8	145	16
9	160	16
10	168	16
0	168	16

Iter	Nodes	Cost
0	14	41
1	30	41
2	68	39
3	121	39
4	213	39
5	333	39
6	376	39
7	396	39
0	6	7
0	9	7
1	11	7
2	16	7
3	22	7
4	30	7
5	45	7
6	78	7
7	103	7
8	145	7
9	160	7
10	168	7
0	168	7

Iter	Nodes	Cost
0	6	16
0	9	16
1	11	16
2	16	16
3	22	16
4	30	16
5	45	16
6	78	16
7	103	16
8	145	16
9	160	16
10	168	16
0	168	16

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (17.2%)

explain72.0ms (1.1%)

preprocess22.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize21.0ms (0.3%)

series6.0ms (0.1%)

simplify148.0ms (2.2%)

rewrite216.0ms (3.3%)

eval50.0ms (0.8%)

prune5.0ms (0.1%)

simplify134.0ms (2%)

localize46.0ms (0.7%)

series41.0ms (0.6%)

simplify211.0ms (3.2%)

rewrite179.0ms (2.7%)

eval172.0ms (2.6%)

prune70.0ms (1.1%)

simplify136.0ms (2.1%)

localize88.0ms (1.3%)

series24.0ms (0.4%)

simplify225.0ms (3.4%)

rewrite224.0ms (3.4%)

eval423.0ms (6.4%)

prune56.0ms (0.9%)

simplify164.0ms (2.5%)

localize120.0ms (1.8%)

series54.0ms (0.8%)

simplify187.0ms (2.8%)

rewrite229.0ms (3.5%)

eval811.0ms (12.3%)

prune183.0ms (2.8%)

regimes63.0ms (1%)

regimes10.0ms (0.2%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify45.0ms (0.7%)

soundness936.0ms (14.2%)

preprocess49.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	41
1	30	41
2	68	39
3	121	39
4	213	39
5	333	39
6	376	39
7	396	39
0	6	7
0	9	7
1	11	7
2	16	7
3	22	7
4	30	7
5	45	7
6	78	7
7	103	7
8	145	7
9	160	7
10	168	7
0	168	7

Iter	Nodes	Cost
0	6	16
0	9	16
1	11	16
2	16	16
3	22	16
4	30	16
5	45	16
6	78	16
7	103	16
8	145	16
9	160	16
10	168	16
0	168	16