Metrics for Radioactive exchange between two surfaces

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample769.0ms (9.6%)

Memory

0.7MiB live, 1 336.5MiB allocated

Samples

553.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 363.0ms

ival-pow: 299.0ms (82.5% of total)

ival-sub: 49.0ms (13.5% of total)

ival-true: 6.0ms (1.7% of total)

exact: 5.0ms (1.4% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain76.0ms (0.9%)

Memory

9.2MiB live, 125.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
36	50	(1.0492942060272504e-256 -3.261349593485842e-261)	36	(-1.2770270667582986e+295 8.880228765669092e+88)	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`
0	0	-	0	-	`y`
0	0	-	0	-	`(pow.f64 x #s(literal 4 binary64))`
0	0	-	0	-	`(pow.f64 y #s(literal 4 binary64))`
0	0	-	0	-	`#s(literal 4 binary64)`
0	0	-	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)))`	cancellation	50	0

Confusion

	Predicted +	Predicted -
+	0	36
-	50	170

Precision

0.0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	36
-	50	0	170

Precision?

0.0

Recall?

0.0

Freqs

test

number	freq
0	206
1	50

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

30.0ms

512×

valid

Compiler

Compiled 59 to 34 computations (42.4% saved)

Precisions

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

ival-pow: 14.0ms (79.9% of total)

ival-sub: 2.0ms (11.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess25.0ms (0.3%)

Memory

6.7MiB live, 42.2MiB 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: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.9%	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify7.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB 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

localize34.0ms (0.4%)

Memory

-19.5MiB live, 29.9MiB 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	8.136679530773911	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))

Samples

29.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-pow: 21.0ms (92.7% of total)

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

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB 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))

simplify150.0ms (1.9%)

Memory

2.8MiB live, 192.5MiB 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))

rewrite158.0ms (2%)

Memory

-2.6MiB live, 228.3MiB 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
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 16 binary64)) (pow.f64 y #s(literal 16 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 24 binary64)) (pow.f64 y #s(literal 24 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 8 binary64)) (pow.f64 y #s(literal 16 binary64))) (pow.f64 x #s(literal 16 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) (-.f64 (pow.f64 x #s(literal 24 binary64)) (pow.f64 y #s(literal 24 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) (-.f64 (pow.f64 x #s(literal 36 binary64)) (pow.f64 y #s(literal 36 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 12 binary64)) (pow.f64 y #s(literal 24 binary64))) (pow.f64 x #s(literal 24 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (-.f64 (pow.f64 x #s(literal 16 binary64)) (pow.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (+.f64 (pow.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 24 binary64)))) (fma.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 16 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64)))) (+.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (.f64 y x) #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 16 binary64)) (pow.f64 y #s(literal 16 binary64))) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (pow.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 24 binary64)) (pow.f64 y #s(literal 24 binary64))) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 8 binary64)) (pow.f64 y #s(literal 16 binary64))) (pow.f64 x #s(literal 16 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 24 binary64)) (pow.f64 y #s(literal 24 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 36 binary64)) (pow.f64 y #s(literal 36 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 12 binary64)) (pow.f64 y #s(literal 24 binary64))) (pow.f64 x #s(literal 24 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))))
(*.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))))))
(.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))))))
(*.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))))) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))))) (pow.f64 (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 16 binary64)) (pow.f64 y #s(literal 16 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 24 binary64)) (pow.f64 y #s(literal 24 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 8 binary64)) (pow.f64 y #s(literal 16 binary64))) (pow.f64 x #s(literal 16 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 24 binary64)) (pow.f64 y #s(literal 24 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))))))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 36 binary64)) (pow.f64 y #s(literal 36 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 12 binary64)) (pow.f64 y #s(literal 24 binary64))) (pow.f64 x #s(literal 24 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))))))
(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))))
(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) (pow.f64 y #s(literal 12 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal 2 binary64))))
(.f64 (.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 y y (*.f64 x x)))
(.f64 (fma.f64 y y (.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y)))
(.f64 (-.f64 (pow.f64 x #s(literal 16 binary64)) (pow.f64 y #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))))
(.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))))
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(.f64 (-.f64 (pow.f64 x #s(literal 24 binary64)) (pow.f64 y #s(literal 24 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 8 binary64)) (pow.f64 y #s(literal 16 binary64))) (pow.f64 x #s(literal 16 binary64))))))
(.f64 (-.f64 (pow.f64 x #s(literal 24 binary64)) (pow.f64 y #s(literal 24 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))))))
(.f64 (-.f64 (pow.f64 x #s(literal 36 binary64)) (pow.f64 y #s(literal 36 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 12 binary64)) (pow.f64 y #s(literal 24 binary64))) (pow.f64 x #s(literal 24 binary64))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64)))) (pow.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64)))) (pow.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
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(-.f64 (/.f64 (pow.f64 x #s(literal 16 binary64)) (.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))))) (/.f64 (pow.f64 y #s(literal 16 binary64)) (.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 24 binary64)) (.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 8 binary64)) (pow.f64 y #s(literal 16 binary64))) (pow.f64 x #s(literal 16 binary64))))) (/.f64 (pow.f64 y #s(literal 24 binary64)) (.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 8 binary64)) (pow.f64 y #s(literal 16 binary64))) (pow.f64 x #s(literal 16 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 24 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))))) (/.f64 (pow.f64 y #s(literal 24 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 36 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 12 binary64)) (pow.f64 y #s(literal 24 binary64))) (pow.f64 x #s(literal 24 binary64))))) (/.f64 (pow.f64 y #s(literal 36 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 12 binary64)) (pow.f64 y #s(literal 24 binary64))) (pow.f64 x #s(literal 24 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 16 binary64)) (+.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 (pow.f64 y #s(literal 16 binary64)) (+.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 24 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 8 binary64)) (pow.f64 y #s(literal 16 binary64))) (pow.f64 x #s(literal 16 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 (pow.f64 y #s(literal 24 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 8 binary64)) (pow.f64 y #s(literal 16 binary64))) (pow.f64 x #s(literal 16 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 24 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64)))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (neg.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)))))) (/.f64 (/.f64 (pow.f64 y #s(literal 24 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64)))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (neg.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 36 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 12 binary64)) (pow.f64 y #s(literal 24 binary64))) (pow.f64 x #s(literal 24 binary64)))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (neg.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)))))) (/.f64 (/.f64 (pow.f64 y #s(literal 36 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 12 binary64)) (pow.f64 y #s(literal 24 binary64))) (pow.f64 x #s(literal 24 binary64)))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (neg.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (neg.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)))))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (neg.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 24 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64)))) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (/.f64 (pow.f64 y #s(literal 24 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64)))) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 36 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 12 binary64)) (pow.f64 y #s(literal 24 binary64))) (pow.f64 x #s(literal 24 binary64)))) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (/.f64 (pow.f64 y #s(literal 36 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 12 binary64)) (pow.f64 y #s(literal 24 binary64))) (pow.f64 x #s(literal 24 binary64)))) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))))) (/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (neg.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (pow.f64 y #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (neg.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))))))
(+.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))
(+.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 4 binary64))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 4 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) y)
(.f64 (.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y))
(.f64 (.f64 y y) (*.f64 y y))
(*.f64 y (pow.f64 y #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 y)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 y))
(pow.f64 (*.f64 (neg.f64 y) y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal 4 binary64))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 4 binary64))) (log.f64 y)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 4 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))

eval28.0ms (0.3%)

Memory: 13.7MiB live, 58.0MiB allocated
Compiler: Compiled 8 315 to 665 computations (92% saved)

prune33.0ms (0.4%)

Memory

-3.4MiB live, 73.9MiB 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
▶	99.8%	(.f64 (fma.f64 y y (.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y)))
▶	57.7%	#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
▶	54.2%	#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))

Status

Accuracy

Program

▶

99.8%

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

▶

57.7%

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

▶

54.2%

#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)

simplify211.0ms (2.6%)

Memory

-6.3MiB live, 205.9MiB 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)

localize67.0ms (0.8%)

Memory

-11.3MiB live, 77.5MiB 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	0.09994125976844201	(.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	27.07457490867495	#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	29.290573047801644	#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))

Samples

57.0ms

256×

valid

Compiler

Compiled 70 to 16 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-sub: 25.0ms (52.8% of total)

ival-pow: 7.0ms (14.8% of total)

ival-mult: 6.0ms (12.7% of total)

ival-neg: 6.0ms (12.7% of total)

ival-add: 2.0ms (4.2% of total)

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.2%)

Memory

-13.5MiB live, 24.3MiB 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>) () ())) ())
#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) (taylor 0 y) (#s(alt (.f64 (+.f64 x y) (-.f64 x y)) (patch (.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x (* -1 x))) (pow x 2)) (taylor 0 y) (#s(alt (.f64 (+.f64 x y) (-.f64 x y)) (patch (.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) (taylor 0 y) (#s(alt (.f64 (+.f64 x y) (-.f64 x y)) (patch (.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) (taylor 0 y) (#s(alt (.f64 (+.f64 x y) (-.f64 x y)) (patch (.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 4)) (taylor inf 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 (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) (taylor inf 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 (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) (taylor inf 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 (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) (taylor inf 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 inf 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 inf 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 inf 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 inf 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 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 #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 y 4) (- (/ (pow x 4) (pow y 4)) 1)) (taylor inf 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 y 4) (- (/ (pow x 4) (pow y 4)) 1)) (taylor inf 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 y 4) (- (/ (pow x 4) (pow y 4)) 1)) (taylor inf 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)) (taylor inf 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 y 4) (- (+ (* -1 (/ x y)) (/ x y)) 1)) (taylor inf 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 y 4) (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2))))) 1)) (taylor inf 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 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)) (taylor inf 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 y 2) (taylor inf y) (#s(alt (fma.f64 y y (.f64 x x)) (patch (fma.f64 y y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 y y (.f64 x x)) (patch (fma.f64 y y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 y y (.f64 x x)) (patch (fma.f64 y y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 y y (.f64 x x)) (patch (fma.f64 y y (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor inf y) (#s(alt (.f64 (+.f64 x y) (-.f64 x y)) (patch (.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1)) (taylor inf y) (#s(alt (.f64 (+.f64 x y) (-.f64 x y)) (patch (.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) (taylor inf y) (#s(alt (.f64 (+.f64 x y) (-.f64 x y)) (patch (.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) (taylor inf y) (#s(alt (.f64 (+.f64 x y) (-.f64 x y)) (patch (.f64 (+.f64 x y) (-.f64 x y)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 4)) (taylor -inf 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 (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) (taylor -inf 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 (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) (taylor -inf 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 (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1)) (taylor -inf 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 -inf 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 -inf 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 -inf 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 -inf y) (#s(alt (neg.f64 (pow.f64 y #s(literal 4 binary64))) (patch (neg.f64 (pow.f64 y #s(literal 4 binary64))) #<representation binary64>) () ())) ())
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#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	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))
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))
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))

simplify202.0ms (2.5%)

Memory

40.9MiB live, 232.9MiB 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)

rewrite258.0ms (3.2%)

Memory

-5.1MiB live, 236.1MiB 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
#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))
(*.f64 (neg.f64 (pow.f64 y #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (neg.f64 (pow.f64 y #s(literal 12 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 0 binary64))))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) y)
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (neg.f64 y) (pow.f64 y #s(literal 3 binary64)))
(.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 y))
(.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal -1 binary64)))
(.f64 (.f64 y y) (*.f64 (neg.f64 y) y))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))
(.f64 y (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)))
(*.f64 y (pow.f64 (neg.f64 y) #s(literal 3 binary64)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 12 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (pow.f64 y #s(literal 8 binary64))) (-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (neg.f64 (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 (pow.f64 y #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 0 binary64)) (neg.f64 (pow.f64 y #s(literal 12 binary64)))))
(/.f64 (neg.f64 (pow.f64 y #s(literal 12 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 y #s(literal 8 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (pow.f64 y #s(literal 12 binary64))) (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 0 binary64)))
(/.f64 (pow.f64 y #s(literal 8 binary64)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
(+.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(.f64 (.f64 y (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))
(.f64 (pow.f64 y #s(literal 3/2 binary64)) (.f64 (pow.f64 y #s(literal 3/2 binary64)) y))
(*.f64 (pow.f64 y #s(literal 3 binary64)) y)
(.f64 (.f64 y y) (*.f64 y y))
(*.f64 y (pow.f64 y #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 y))
(pow.f64 (*.f64 y y) #s(literal 2 binary64))
(pow.f64 y #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 12 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (pow.f64 y #s(literal 8 binary64))) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))
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(*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (/.f64 (+.f64 y x) (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
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(/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1 binary64)) (-.f64 x y))
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(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
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(/.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (.f64 (/.f64 (-.f64 x y) (fma.f64 y (-.f64 y x) (.f64 x x))) #s(literal 1 binary64))) (fma.f64 y (-.f64 y x) (.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x y)) (.f64 (-.f64 x y) (.f64 y y))) (*.f64 (-.f64 x y) (-.f64 x y)))
(/.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 1 binary64)) (pow.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (+.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))) (fma.f64 y y (*.f64 x x)))
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 x y))
(/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (-.f64 y x))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(neg.f64 (neg.f64 (+.f64 y x)))
(fma.f64 (/.f64 (.f64 x x) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (+.f64 y x) (.f64 x x))) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 (/.f64 (.f64 x x) (.f64 (-.f64 y x) (+.f64 y x))) (neg.f64 (+.f64 y x)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 (/.f64 (.f64 x x) #s(literal 1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 y y) (-.f64 x y))))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) y))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (neg.f64 (neg.f64 y)))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) y)
(fma.f64 (/.f64 x (.f64 (/.f64 (-.f64 x y) (fma.f64 y (-.f64 y x) (.f64 x x))) #s(literal 1 binary64))) (/.f64 x (fma.f64 y (-.f64 y x) (.f64 x x))) (neg.f64 (/.f64 (.f64 y y) (-.f64 x y))))
(fma.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x (pow.f64 (fma.f64 y (+.f64 y x) (.f64 x x)) #s(literal -1 binary64))) (neg.f64 (/.f64 (.f64 y y) (-.f64 x y))))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x x (.f64 (neg.f64 y) (-.f64 (neg.f64 y) x))) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (.f64 x x)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 (/.f64 x (.f64 (-.f64 x y) (+.f64 y x))) (.f64 x (+.f64 y x)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 1 binary64)) (.f64 y (+.f64 y x)) (.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 1 binary64)) (fma.f64 y y (.f64 x x)) (.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 1 binary64)) (*.f64 y x)))
(fma.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 1 binary64)) (.f64 x x) (.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 1 binary64)) (*.f64 y (+.f64 y x))))
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) y))
(fma.f64 (.f64 y (+.f64 y x)) (.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(literal 1 binary64))))
(fma.f64 (fma.f64 y y (.f64 x x)) (.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 1 binary64)) (.f64 (.f64 y x) (.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(literal 1 binary64))))
(fma.f64 (.f64 x x) (.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 1 binary64)) (.f64 (.f64 y (+.f64 y x)) (.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(literal 1 binary64))))
(fma.f64 (.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 y y) (-.f64 x y))))
(fma.f64 y #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)))
(-.f64 x (neg.f64 y))
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(+.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 1 binary64))) (.f64 (.f64 y x) (.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 1 binary64))))
(+.f64 (.f64 (.f64 y (+.f64 y x)) (.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 1 binary64))) (.f64 (.f64 x x) (.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 1 binary64))))
(+.f64 (.f64 (.f64 x x) (.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 1 binary64))) (.f64 (.f64 y (+.f64 y x)) (.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 1 binary64))))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 y #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 1 binary64)) (fma.f64 y y (.f64 x x))) (.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 1 binary64)) (.f64 y x)))
(+.f64 (.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 1 binary64)) (.f64 y (+.f64 y x))) (.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 1 binary64)) (.f64 x x)))
(+.f64 (.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 1 binary64)) (.f64 x x)) (.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 1 binary64)) (.f64 y (+.f64 y x))))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) y))
(+.f64 (.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 (.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (.f64 y y) (-.f64 x y))))
(+.f64 y x)
(+.f64 x (*.f64 #s(literal 1 binary64) y))
(+.f64 x (neg.f64 (neg.f64 y)))
(+.f64 x y)

eval125.0ms (1.6%)

Memory: -7.0MiB live, 215.2MiB allocated
Compiler: Compiled 26 117 to 2 495 computations (90.4% saved)

prune183.0ms (2.3%)

Memory

25.6MiB live, 265.6MiB allocated

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	1 032	8	1 040
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	1 033	10	1 043

Accuracy

100.0%

Counts

1 043 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.1%	(/.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (-.f64 x y))) (-.f64 x y))
	99.8%	(/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x x))))
▶	51.8%	(.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))))
▶	99.8%	(.f64 (fma.f64 y y (.f64 x x)) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (-.f64 x y)))
▶	99.9%	(.f64 (-.f64 x y) (.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))))
	94.3%	(.f64 #s(approx (+ ( y y) (* x x)) (.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)) (*.f64 (+.f64 x y) (-.f64 x y)))
✓	57.7%	#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
	54.2%	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
▶	57.6%	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 x x) (*.f64 x x)))
✓	54.2%	#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))

Compiler

Compiled 293 to 161 computations (45.1% saved)

simplify203.0ms (2.5%)

Memory

-10.7MiB live, 152.9MiB 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 (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	2816	(.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)) (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (-.f64 x y)))
cost-diff	1408	(/.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (-.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 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (-.f64 x y)))
cost-diff	896	(fma.f64 (/.f64 x y) 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	(+.f64 y x)
cost-diff	0	(.f64 (+.f64 y x) (fma.f64 y y (.f64 x x)))
cost-diff	0	(-.f64 x y)
cost-diff	0	(.f64 (-.f64 x y) (.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))))

Rules

13 030×	`lower-fma.f32`
13 024×	`lower-fma.f64`
4 780×	`lower-*.f32`
4 754×	`lower-*.f64`
3 514×	`lower-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	341
0	55	286
1	125	282
2	446	269
3	2361	269
4	5491	269
0	8071	269

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

localize97.0ms (1.2%)

Memory

-23.9MiB live, 175.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(.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	0.09994125976844201	(.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	0.16015625	(.f64 (-.f64 x y) (.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(literal 1 binary64)))
accuracy	28.876339762525145	(/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (*.f64 x x)))
accuracy	0	(*.f64 x x)
accuracy	0.03515625	(.f64 (fma.f64 y y (.f64 x x)) (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (-.f64 x y)))
accuracy	0.1015625	(.f64 (.f64 (-.f64 x y) (+.f64 y x)) (-.f64 x y))
accuracy	4.3365359704245545	(/.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (-.f64 x y))) (-.f64 x y))
accuracy	0	(*.f64 x x)
accuracy	0	#s(approx (+ x y) (fma.f64 (/.f64 x y) y y))
accuracy	0.09994125976844201	(.f64 (fma.f64 y y (.f64 x x)) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (-.f64 x y)))
accuracy	7.292524426840977	(fma.f64 (/.f64 x y) y y)
accuracy	0	(*.f64 x x)
accuracy	0.11166000976844201	(.f64 (.f64 x x) (*.f64 x x))
accuracy	27.07457490867495	#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	0.0703125	(.f64 (-.f64 x y) (.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))))
accuracy	0.09765625	(.f64 (+.f64 y x) (fma.f64 y y (.f64 x x)))

Samples

72.0ms

256×

valid

Compiler

Compiled 333 to 34 computations (89.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 22.0ms (42.6% of total)

ival-add: 15.0ms (29% of total)

ival-pow: 7.0ms (13.6% of total)

ival-div: 5.0ms (9.7% of total)

ival-sub: 3.0ms (5.8% of total)

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

exact: 0.0ms (0% of total)

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

series37.0ms (0.5%)

Memory

2.0MiB live, 79.1MiB allocated

Counts

19 → 432

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((* (- x y) (* (+ y x) (+ (* y y) (* x x)))) (- x y) (* (+ y x) (+ (* y y) (* x x))) (+ y x) (- (pow x 4) (pow y 4)) (* x x) (* (* x x) (* x x)) (+ (* (/ x y) y) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (/ (* (+ (* y y) (* x x)) (* (* (- x y) (+ y x)) (- x y))) (- x y)) (* (+ (* y y) (* x x)) (* (* (- x y) (+ y x)) (- x y))) (* (* (- 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 y) (* (* (- x y) (+ y x)) (- x y)) (/ (+ y x) (+ (* y (+ y x)) (* x x))) (* (- x y) (* (/ (+ y x) (+ (* y (+ y x)) (* x x))) 1)))
3.0ms	x	@	inf	((* (- x y) (* (+ y x) (+ (* y y) (* x x)))) (- x y) (* (+ y x) (+ (* y y) (* x x))) (+ y x) (- (pow x 4) (pow y 4)) (* x x) (* (* x x) (* x x)) (+ (* (/ x y) y) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (/ (* (+ (* y y) (* x x)) (* (* (- x y) (+ y x)) (- x y))) (- x y)) (* (+ (* y y) (* x x)) (* (* (- x y) (+ y x)) (- x y))) (* (* (- 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 y) (* (* (- x y) (+ y x)) (- x y)) (/ (+ y x) (+ (* y (+ y x)) (* x x))) (* (- x y) (* (/ (+ y x) (+ (* y (+ y x)) (* x x))) 1)))
3.0ms	y	@	inf	((* (- x y) (* (+ y x) (+ (* y y) (* x x)))) (- x y) (* (+ y x) (+ (* y y) (* x x))) (+ y x) (- (pow x 4) (pow y 4)) (* x x) (* (* x x) (* x x)) (+ (* (/ x y) y) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (/ (* (+ (* y y) (* x x)) (* (* (- x y) (+ y x)) (- x y))) (- x y)) (* (+ (* y y) (* x x)) (* (* (- x y) (+ y x)) (- x y))) (* (* (- 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 y) (* (* (- x y) (+ y x)) (- x y)) (/ (+ y x) (+ (* y (+ y x)) (* x x))) (* (- x y) (* (/ (+ y x) (+ (* y (+ y x)) (* x x))) 1)))
2.0ms	y	@	0	((* (- x y) (* (+ y x) (+ (* y y) (* x x)))) (- x y) (* (+ y x) (+ (* y y) (* x x))) (+ y x) (- (pow x 4) (pow y 4)) (* x x) (* (* x x) (* x x)) (+ (* (/ x y) y) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (/ (* (+ (* y y) (* x x)) (* (* (- x y) (+ y x)) (- x y))) (- x y)) (* (+ (* y y) (* x x)) (* (* (- x y) (+ y x)) (- x y))) (* (* (- 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 y) (* (* (- x y) (+ y x)) (- x y)) (/ (+ y x) (+ (* y (+ y x)) (* x x))) (* (- x y) (* (/ (+ y x) (+ (* y (+ y x)) (* x x))) 1)))
2.0ms	y	@	-inf	((* (- x y) (* (+ y x) (+ (* y y) (* x x)))) (- x y) (* (+ y x) (+ (* y y) (* x x))) (+ y x) (- (pow x 4) (pow y 4)) (* x x) (* (* x x) (* x x)) (+ (* (/ x y) y) y) (* (+ (* y y) (* x x)) (* (+ x y) (- x y))) (+ (* y y) (* x x)) (/ (* (+ (* y y) (* x x)) (* (* (- x y) (+ y x)) (- x y))) (- x y)) (* (+ (* y y) (* x x)) (* (* (- x y) (+ y x)) (- x y))) (* (* (- 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 y) (* (* (- x y) (+ y x)) (- x y)) (/ (+ y x) (+ (* y (+ y x)) (* x x))) (* (- x y) (* (/ (+ y x) (+ (* y (+ y x)) (* x x))) 1)))

simplify193.0ms (2.4%)

Memory

12.2MiB live, 243.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 756×	`lower-fma.f64`
9 756×	`lower-fma.f32`
4 360×	`lower-+.f64`
4 360×	`lower-+.f32`
3 412×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	659	4231
1	2136	3863
2	7378	3661
0	8322	3518

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 411

Calls

Call 1

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

Outputs
(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))
(+ (* -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)))
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 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 5)
(pow.f64 x #s(literal 5 binary64))
(+ (* y (+ (* -2 (pow x 4)) (pow x 4))) (pow x 5))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) y (pow.f64 x #s(literal 5 binary64)))
(+ (* y (+ (* -2 (pow x 4)) (+ (* y (+ (* -2 (pow x 3)) (* 2 (pow x 3)))) (pow x 4)))) (pow x 5))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) y (pow.f64 x #s(literal 5 binary64)))
(+ (* y (+ (* -2 (pow x 4)) (+ (* y (+ (* -2 (pow x 3)) (+ (* 2 (pow x 3)) (* y (+ (* -2 (pow x 2)) (* 2 (pow x 2))))))) (pow x 4)))) (pow x 5))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) y (pow.f64 x #s(literal 5 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 x)
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(.f64 (+.f64 (fma.f64 (.f64 y (/.f64 (/.f64 y x) x)) #s(literal 0 binary64) (/.f64 (neg.f64 y) x)) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))
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(*.f64 (+.f64 (fma.f64 (/.f64 y x) #s(literal -2 binary64) (fma.f64 #s(literal -2 binary64) (fma.f64 y (/.f64 (/.f64 y x) x) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (fma.f64 y (/.f64 (/.f64 y x) x) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 y x)))) #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)))
(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 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (/.f64 y x) x))) x) x)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y 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 (* -1 (/ (pow y 2) (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (/.f64 y x) x))) x)
(/ (- (+ 1 (/ (pow y 3) (pow x 3))) (/ (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)) (pow y 4)) (pow x 4)))) (+ (* -1 (/ (pow y 3) (pow x 3))) (/ (pow y 2) (pow x 2)))) x)
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (/.f64 y x) (/.f64 y x) (neg.f64 (pow.f64 (/.f64 y x) #s(literal 3 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 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2)))))))
(*.f64 (fma.f64 #s(literal 0 binary64) (fma.f64 y (/.f64 (/.f64 y x) x) (/.f64 y x)) #s(literal 1 binary64)) (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 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x)) (-.f64 (+.f64 (fma.f64 y (/.f64 (/.f64 y x) x) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (/.f64 y x)) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64)))
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 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (+ 1 (+ (* -2 (/ y x)) (/ y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1 (+ (* -2 (/ y x)) (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2)))))))
(*.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 y (/.f64 (/.f64 y x) x) (/.f64 y x)) (fma.f64 y (/.f64 (/.f64 y x) x) (+.f64 (/.f64 y x) #s(literal 1 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1 (+ (* -2 (/ y x)) (+ (* -2 (/ (pow y 2) (pow x 2))) (+ (/ y x) (+ (/ (pow y 2) (pow x 2)) (/ (pow y 3) (pow x 3))))))))
(*.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 y (/.f64 (/.f64 y x) x) (/.f64 y x)) (+.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 (/.f64 y x) x) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (/.f64 y x))) (pow.f64 x #s(literal 3 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1 (/ (pow y 2) (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (/.f64 y x) x))) x)
(/ (- (+ 1 (/ (pow y 3) (pow x 3))) (/ (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)) (pow y 4)) (pow x 4)))) (+ (* -1 (/ (pow y 3) (pow x 3))) (/ (pow y 2) (pow x 2)))) x)
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (/.f64 y x) (/.f64 y x) (neg.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64))))) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2)))))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) x))
(- (+ 1 (+ (* -1 (/ y x)) (* 2 (/ (pow y 3) (pow x 3))))) (/ (pow y 2) (pow x 2)))
(+.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 2 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) (neg.f64 x))) #s(literal 1 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))
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 y (/.f64 (neg.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) x))) x)) 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 (/ (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 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))
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 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 5)
(pow.f64 x #s(literal 5 binary64))
(* -1 (* (pow x 5) (- (* -1 (/ (+ y (* -2 y)) x)) 1)))
(*.f64 (neg.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ y (+ (* -2 y) (* -1 (/ (+ (* -2 (pow y 2)) (* 2 (pow y 2))) x)))) x)) 1)))
(*.f64 (neg.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ y (+ (* -2 y) (* -1 (/ (+ (* -2 (pow y 2)) (+ (* -1 (/ (+ (* -2 (pow y 3)) (* 2 (pow y 3))) x)) (* 2 (pow y 2)))) x)))) x)) 1)))
(*.f64 (neg.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64))) (pow.f64 x #s(literal 5 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 (-.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 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64)))) (neg.f64 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 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64)))) (neg.f64 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 (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 3)
(pow.f64 x #s(literal 3 binary64))
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (* -2 y)) x)) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (+ (* -2 y) (* -1 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) x)))) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y (/.f64 y x) y) (neg.f64 x))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ y (+ (* -2 y) (* -1 (/ (+ (* -1 (/ (pow y 3) x)) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) x)))) x)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 y y (/.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) x)) (neg.f64 x)) y) x)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(/ 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 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64)))) (neg.f64 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 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64)))) (neg.f64 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 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 2 binary64) (*.f64 (neg.f64 y) y)) x)) x))

rewrite260.0ms (3.2%)

Memory

41.4MiB live, 393.0MiB allocated

Rules

4 910×	`lower-/.f32`
4 904×	`lower-/.f64`
4 804×	`lower-fma.f32`
4 798×	`lower-fma.f64`
3 972×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	254
0	55	212
1	226	166
2	2033	161
0	8174	158

Stop Event

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

Counts

19 → 1 562

Calls

Call 1

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

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

eval868.0ms (10.8%)

Memory: -61.4MiB live, 933.3MiB allocated
Compiler: Compiled 114 636 to 7 525 computations (93.4% saved)

prune485.0ms (6%)

Memory

25.9MiB live, 863.1MiB allocated

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	3 041	12	3 053
Fresh	1	2	3
Picked	4	1	5
Done	0	2	2
Total	3 046	17	3 063

Accuracy

100.0%

Counts

3 063 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.1%	(/.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (.f64 (-.f64 x y) (+.f64 y x)) (-.f64 x y))) (.f64 (.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x (neg.f64 y)))))
▶	99.8%	(/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x x))))
	75.0%	(/.f64 (.f64 #s(approx (+ ( y y) (* x x)) (.f64 x x)) (.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 x y))) (-.f64 x y))
	35.2%	(.f64 (fma.f64 y y (.f64 x x)) (.f64 (.f64 (-.f64 x y) (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (-.f64 y x)))) (fma.f64 y (+.f64 y x) (.f64 x x))))
	47.6%	(.f64 (fma.f64 y y (.f64 x x)) (.f64 (.f64 (-.f64 x y) (.f64 (/.f64 (+.f64 y x) (fma.f64 y #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)) (.f64 x x))) #s(literal 1 binary64))) (fma.f64 y (+.f64 y x) (*.f64 x x))))
▶	69.8%	(.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) x))) (fma.f64 y (+.f64 y x) (*.f64 x x))))
	92.8%	(.f64 (fma.f64 y y (.f64 x x)) #s(approx (* (* (- x y) (* (/ (+ y x) (+ (* y (+ y x)) (* x x))) 1)) (+ (* y (+ y x)) (* x x))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (/.f64 y x) x))) x) x)))
	99.8%	(.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (.f64 (.f64 (+.f64 y x) (-.f64 y x)) (fma.f64 y y (.f64 x x))))))
	94.3%	(.f64 (-.f64 x y) (.f64 (+.f64 y x) #s(approx (+ (* y y) (* x x)) (.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x))))
	68.4%	(.f64 (-.f64 x y) (.f64 (+.f64 y x) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))
	72.5%	(.f64 (-.f64 x y) (.f64 (+.f64 y x) #s(approx (+ (* y y) (* x x)) (*.f64 x x))))
▶	31.9%	(.f64 #s(approx (+ ( y y) (* 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))))
▶	76.0%	(.f64 #s(approx (+ ( y y) (* x x)) (.f64 x x)) (.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (-.f64 x y)))
✓	57.7%	#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
▶	54.2%	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
✓	57.6%	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 x x) (*.f64 x x)))
✓	54.2%	#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))

Compiler

Compiled 653 to 346 computations (47% saved)

simplify151.0ms (1.9%)

Memory

-3.5MiB live, 187.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* y y) (* x x)) (*.f64 x x))
cost-diff	0	(.f64 #s(approx (+ ( y y) (* 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))))
cost-diff	320	(.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (.f64 x x))) #s(literal 1 binary64))
cost-diff	2816	(.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 (.f64 (-.f64 x y) #s(approx (* (/ (+ y x) (+ (* y (+ y x)) (* x x))) 1) (/.f64 #s(literal 1 binary64) x))) (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)) (.f64 (.f64 (-.f64 x y) #s(approx (* (/ (+ y x) (+ (* y (+ y x)) (* x x))) 1) (/.f64 #s(literal 1 binary64) x))) (fma.f64 y (+.f64 y x) (*.f64 x x))))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (* y y) (* x x)) (*.f64 x x))
cost-diff	0	(.f64 #s(approx (+ ( y y) (* x x)) (.f64 x x)) (.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (-.f64 x y)))
cost-diff	896	(fma.f64 (/.f64 x y) y y)
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	0	(+.f64 y x)
cost-diff	0	(-.f64 x y)
cost-diff	0	(*.f64 (-.f64 x y) (+.f64 y x))
cost-diff	1088	(/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x x))))

Rules

9 056×	`lower-fma.f32`
9 050×	`lower-fma.f64`
3 942×	`lower-*.f32`
3 914×	`lower-*.f64`
3 218×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	436
0	73	399
1	149	393
2	454	384
3	2174	362
4	4457	362
5	6854	362
0	8252	362

Stop Event

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

Calls

Call 1

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

localize133.0ms (1.7%)

Memory

2.3MiB live, 197.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.09994125976844201	(.f64 #s(approx (+ ( y y) (* 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))))
accuracy	0.16015625	(.f64 (-.f64 x y) (.f64 (/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (*.f64 x x))) #s(literal 1 binary64)))
accuracy	26.37915853822187	#s(approx (+ (* y y) (* x x)) (*.f64 x x))
accuracy	28.876339762525145	(/.f64 (+.f64 y x) (fma.f64 y (+.f64 y x) (*.f64 x x)))
accuracy	0.00390625	(.f64 (.f64 (-.f64 x y) #s(approx (* (/ (+ y x) (+ (* y (+ y x)) (* x x))) 1) (/.f64 #s(literal 1 binary64) x))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
accuracy	0.09994125976844201	(.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) x))) (fma.f64 y (+.f64 y x) (*.f64 x x))))
accuracy	0.16015625	(.f64 (-.f64 x y) #s(approx ( (/ (+ y x) (+ (* y (+ y x)) (* x x))) 1) (/.f64 #s(literal 1 binary64) x)))
accuracy	29.63284576737491	#s(approx (* (/ (+ y x) (+ (* y (+ y x)) (* x x))) 1) (/.f64 #s(literal 1 binary64) x))
accuracy	0	#s(approx (+ x y) (fma.f64 (/.f64 x y) y y))
accuracy	0.09994125976844201	(.f64 #s(approx (+ ( y y) (* x x)) (.f64 x x)) (.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (-.f64 x y)))
accuracy	7.292524426840977	(fma.f64 (/.f64 x y) y y)
accuracy	26.37915853822187	#s(approx (+ (* y y) (* x x)) (*.f64 x x))
accuracy	0	(*.f64 y y)
accuracy	0	(neg.f64 y)
accuracy	0.11394501953688403	(.f64 (.f64 (neg.f64 y) y) (*.f64 y y))
accuracy	29.290573047801644	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
accuracy	0	(*.f64 (-.f64 x y) (+.f64 y x))
accuracy	0	(*.f64 x x)
accuracy	0.0859375	(/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x x))))
accuracy	0.46893644006928786	(/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))

Samples

99.0ms

256×

valid

Compiler

Compiled 401 to 34 computations (91.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 21.0ms (46.1% of total)

ival-div: 8.0ms (17.6% of total)

ival-pow: 7.0ms (15.4% of total)

ival-add: 6.0ms (13.2% of total)

ival-sub: 3.0ms (6.6% of total)

ival-neg: 1.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

series52.0ms (0.6%)

Memory

-2.6MiB live, 97.0MiB allocated

Counts

25 → 540

Calls

Call 1

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

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

Calls

6 calls:

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

simplify166.0ms (2.1%)

Memory

9.5MiB live, 202.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 374×	`lower-fma.f64`
8 374×	`lower-fma.f32`
3 012×	`lower-*.f64`
3 012×	`lower-*.f32`
2 902×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	414	4836
1	1274	4474
2	3973	4132
0	8325	3948

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 519

Calls

Call 1

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

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

rewrite227.0ms (2.8%)

Memory

10.4MiB live, 399.4MiB allocated

Rules

4 768×	`lower-fma.f32`
4 762×	`lower-fma.f64`
4 462×	`lower-/.f32`
4 452×	`lower-/.f64`
3 616×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	348
0	73	311
1	261	266
2	1984	260
0	8375	260

Stop Event

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

Counts

25 → 1 610

Calls

Call 1

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

Outputs
(.f64 (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) #s(literal -1 binary64)) (neg.f64 (fma.f64 y y (.f64 x x))))
(.f64 (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x)))) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (+.f64 y x) (fma.f64 y y (.f64 x x)))) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 y x)))))
(.f64 (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (.f64 (+.f64 y x) (-.f64 y x)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))))))
(.f64 (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (neg.f64 (.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (fma.f64 y y (*.f64 x x)))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))))))
(.f64 (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (fma.f64 y y (.f64 x x)))))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (fma.f64 y y (.f64 x x)))))
(.f64 (.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))) (-.f64 x y))
(*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (fma.f64 y y (*.f64 x x)))
(.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 8 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))))))
(.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) (neg.f64 (fma.f64 y y (*.f64 x x))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(.f64 (fma.f64 y y (.f64 x x)) (fma.f64 x x (*.f64 (neg.f64 y) y)))
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(.f64 (+.f64 y x) (pow.f64 (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal -1 binary64)) (-.f64 x y)) #s(literal -1 binary64)))
(.f64 (+.f64 y x) (.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x))))
(.f64 (-.f64 x y) (.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))))
(pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 y y) (fma.f64 x x (.f64 (neg.f64 y) y))) #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 y y) (fma.f64 x x (.f64 (neg.f64 y) y))) (.f64 (.f64 y y) (fma.f64 x x (.f64 (neg.f64 y) y))) (-.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 y y) (fma.f64 x x (.f64 (neg.f64 y) y))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 y y)) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 y y)) (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 y y)) (-.f64 (.f64 (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 x x)) (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 x x))) (.f64 (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 y y)) (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 y y)) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 x x)) (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 x x)) (-.f64 (.f64 (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 y y)) (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 y y))) (.f64 (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 x x)) (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 y y))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 12 binary64)) (pow.f64 x #s(literal 12 binary64))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 y y) (fma.f64 x x (.f64 (neg.f64 y) y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 y y) (fma.f64 x x (.f64 (neg.f64 y) y))) (.f64 (.f64 y y) (fma.f64 x x (.f64 (neg.f64 y) y)))) (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 (.f64 y y) (fma.f64 x x (*.f64 (neg.f64 y) y)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 (+.f64 y x) (fma.f64 y y (.f64 x x))))) (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x))))
(/.f64 (neg.f64 (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (-.f64 y x)))))
(/.f64 (neg.f64 (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))))
(/.f64 (neg.f64 (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (.f64 #s(literal 1 binary64) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)))) (/.f64 #s(literal -1 binary64) (fma.f64 y y (.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (+.f64 y x))) (neg.f64 (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 y x))) (neg.f64 (/.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (fma.f64 y y (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)))) (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) #s(literal 2 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 y x) (/.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (+.f64 y x))) (fma.f64 x x (*.f64 (neg.f64 y) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (+.f64 y x)) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (fma.f64 x x (.f64 (neg.f64 y) y))))
(/.f64 (-.f64 x y) (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (+.f64 y x)))
(fma.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) x (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x))) (neg.f64 y)))
(fma.f64 x (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) (.f64 (neg.f64 y) (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(-.f64 (/.f64 (.f64 x x) (.f64 (+.f64 y x) (/.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (+.f64 y x)))) (/.f64 (.f64 y y) (.f64 (+.f64 y x) (/.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (+.f64 y x)))))
(-.f64 (/.f64 (.f64 x x) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (.f64 y y) (fma.f64 (+.f64 y x) y (.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (+.f64 y x) y (.f64 x x)))) (/.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(-.f64 (/.f64 (+.f64 x #s(literal 0 binary64)) (/.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (+.f64 y x))) (/.f64 y (/.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (+.f64 y x))))
(-.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (+.f64 y x))) (/.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (+.f64 y x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (+.f64 y x))) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (.f64 x x))) (/.f64 (fma.f64 (+.f64 y x) y (.f64 x x)) (+.f64 y x))))
(-.f64 (.f64 x (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x)))) (/.f64 y (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (+.f64 y x))))
(+.f64 (.f64 x (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x)))) (.f64 (neg.f64 y) (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x)))))
(+.f64 (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) x) (.f64 (/.f64 (+.f64 y x) (fma.f64 (+.f64 y x) y (.f64 x x))) (neg.f64 y)))

eval681.0ms (8.5%)

Memory: -5.6MiB live, 877.6MiB allocated
Compiler: Compiled 123 291 to 8 432 computations (93.2% saved)

prune887.0ms (11%)

Memory

11.5MiB live, 988.5MiB allocated

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	3 385	8	3 393
Fresh	4	5	9
Picked	3	2	5
Done	2	1	3
Total	3 394	16	3 410

Accuracy

100.0%

Counts

3 410 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.4%	(/.f64 (.f64 (fma.f64 x x (.f64 (neg.f64 y) y)) (+.f64 y x)) (/.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))))
	72.3%	(/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( y y) (* x x)) (*.f64 y y))))
	76.0%	(/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (/.f64 #s(literal 1 binary64) #s(approx (+ ( y y) (* x x)) (*.f64 x x))))
	72.3%	(/.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(approx (/ 1 (+ ( y y) (* x x))) (/.f64 (/.f64 #s(literal 1 binary64) y) y)))
	76.0%	(/.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(approx (/ 1 (+ ( y y) (* x x))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
	92.8%	(.f64 (fma.f64 y y (.f64 x x)) #s(approx (* (* (- x y) (* (/ (+ y x) (+ (* y (+ y x)) (* x x))) 1)) (+ (* y (+ y x)) (* x x))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (/.f64 y x) x))) x) x)))
	99.8%	(.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (.f64 (.f64 (+.f64 y x) (-.f64 y x)) (fma.f64 y y (.f64 x x))))))
	94.3%	(.f64 (-.f64 x y) (.f64 (+.f64 y x) #s(approx (+ (* y y) (* x x)) (.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x))))
	68.4%	(.f64 (-.f64 x y) (.f64 (+.f64 y x) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))
	72.5%	(.f64 (-.f64 x y) (.f64 (+.f64 y x) #s(approx (+ (* y y) (* x x)) (*.f64 x x))))
	75.1%	(.f64 #s(approx (+ ( y y) (* x x)) (/.f64 (.f64 (.f64 y x) x) y)) (*.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (-.f64 x y)))
	72.9%	(.f64 #s(approx (+ ( y y) (* x x)) (.f64 x x)) (fma.f64 (.f64 x (/.f64 x y)) y (*.f64 (neg.f64 y) y)))
	67.5%	(.f64 #s(approx (+ ( y y) (* x x)) (.f64 x x)) (.f64 (.f64 (-.f64 x y) #s(approx ( (/ (+ y x) (+ (* y (+ y x)) (* x x))) 1) (/.f64 #s(literal 1 binary64) x))) (fma.f64 y (+.f64 y x) (*.f64 x x))))
✓	76.0%	(.f64 #s(approx (+ ( y y) (* x x)) (.f64 x x)) (.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)) (-.f64 x y)))
✓	54.2%	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
✓	57.6%	#s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 x x) (*.f64 x x)))

Compiler

Compiled 860 to 284 computations (67% saved)

regimes92.0ms (1.1%)

Memory

-4.1MiB live, 88.9MiB allocated

Counts

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

51.0ms	y
14.0ms	(pow.f64 x #s(literal 4 binary64))
9.0ms	x
8.0ms	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
8.0ms	(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)

regimes17.0ms (0.2%)

Memory

-12.4MiB live, 26.4MiB 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
(.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) #s(approx (+ (* y y) (* x x)) (*.f64 x x))))

Calls

5 calls:

8.0ms	(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
2.0ms	x
2.0ms	y
2.0ms	(pow.f64 y #s(literal 4 binary64))
2.0ms	(pow.f64 x #s(literal 4 binary64))

Results

Accuracy	Segments	Branch
95.4%	3	`x`
94.4%	3	`y`
99.7%	2	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`
95.4%	2	`(pow.f64 x #s(literal 4 binary64))`
94.4%	2	`(pow.f64 y #s(literal 4 binary64))`

Compiler

Compiled 15 to 18 computations (-20% saved)

regimes2.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

3 → 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))))

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

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
99.7%	2	`(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes18.0ms (0.2%)

Memory

-15.7MiB live, 21.8MiB 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	x
2.0ms	y
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
86.9%	3	`y`
85.3%	3	`x`
84.6%	2	`(pow.f64 y #s(literal 4 binary64))`
84.5%	2	`(pow.f64 x #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)

regimes7.0ms (0.1%)

Memory

27.9MiB live, 27.9MiB 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	x
1.0ms	y
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
57.6%	1	`x`
57.6%	1	`(pow.f64 x #s(literal 4 binary64))`
57.6%	1	`(pow.f64 y #s(literal 4 binary64))`
57.6%	1	`y`
57.6%	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

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.6228233511879423e-295	0.0

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.6228233511879423e-295	0.0

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.6228233511879423e-295	0.0

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify58.0ms (0.7%)

Memory

-11.8MiB live, 65.2MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`-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	36	163
1	53	163
2	63	163
3	70	163
4	74	163
5	75	163

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 -4602094425247529/46020944252475287237870212884199033180620210660923048261998100776379565006208246561973370194536329221406749153247076699560650180816490655358168942243705375840708580716765564230733368217919000094579989235733761476822566574679670497657321756298451772713817730735254092349426494960250807374037851220383801379127296 binary64)) (.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) #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 -4602094425247529/46020944252475287237870212884199033180620210660923048261998100776379565006208246561973370194536329221406749153247076699560650180816490655358168942243705375840708580716765564230733368217919000094579989235733761476822566574679670497657321756298451772713817730735254092349426494960250807374037851220383801379127296 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 -4602094425247529/46020944252475287237870212884199033180620210660923048261998100776379565006208246561973370194536329221406749153247076699560650180816490655358168942243705375840708580716765564230733368217919000094579989235733761476822566574679670497657321756298451772713817730735254092349426494960250807374037851220383801379127296 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 -4602094425247529/46020944252475287237870212884199033180620210660923048261998100776379565006208246561973370194536329221406749153247076699560650180816490655358168942243705375840708580716765564230733368217919000094579989235733761476822566574679670497657321756298451772713817730735254092349426494960250807374037851220383801379127296 binary64)) (.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) #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 -4602094425247529/46020944252475287237870212884199033180620210660923048261998100776379565006208246561973370194536329221406749153247076699560650180816490655358168942243705375840708580716765564230733368217919000094579989235733761476822566574679670497657321756298451772713817730735254092349426494960250807374037851220383801379127296 binary64)) (.f64 (.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) (+.f64 y x)) (-.f64 x 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 -4602094425247529/46020944252475287237870212884199033180620210660923048261998100776379565006208246561973370194536329221406749153247076699560650180816490655358168942243705375840708580716765564230733368217919000094579989235733761476822566574679670497657321756298451772713817730735254092349426494960250807374037851220383801379127296 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 -4602094425247529/46020944252475287237870212884199033180620210660923048261998100776379565006208246561973370194536329221406749153247076699560650180816490655358168942243705375840708580716765564230733368217919000094579989235733761476822566574679670497657321756298451772713817730735254092349426494960250807374037851220383801379127296 binary64)) #s(approx (- (pow x 4) (pow y 4)) (.f64 (.f64 (neg.f64 y) y) (.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 -4602094425247529/46020944252475287237870212884199033180620210660923048261998100776379565006208246561973370194536329221406749153247076699560650180816490655358168942243705375840708580716765564230733368217919000094579989235733761476822566574679670497657321756298451772713817730735254092349426494960250807374037851220383801379127296 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)))

soundness1.0s (12.6%)

Memory

-48.9MiB live, 516.8MiB allocated

Rules

19 848×	`lower-fma.f64`
19 848×	`lower-fma.f32`
9 756×	`lower-fma.f64`
9 756×	`lower-fma.f32`
9 098×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	659	4231
1	2136	3863
2	7378	3661
0	8322	3518
0	17	66
0	26	66
1	91	59
2	658	59
0	8437	59
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	6	13
0	9	13
1	36	13
2	225	13
3	1989	13
0	8607	13

Stop Event

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

Compiler

Compiled 431 to 191 computations (55.7% saved)

preprocess43.0ms (0.5%)

Memory: 23.3MiB live, 61.9MiB allocated
Compiler: Compiled 242 to 72 computations (70.2% 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%)

sample769.0ms (9.6%)

explain76.0ms (0.9%)

preprocess25.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize34.0ms (0.4%)

series6.0ms (0.1%)

simplify150.0ms (1.9%)

rewrite158.0ms (2%)

eval28.0ms (0.3%)

prune33.0ms (0.4%)

simplify211.0ms (2.6%)

localize67.0ms (0.8%)

series18.0ms (0.2%)

simplify202.0ms (2.5%)

rewrite258.0ms (3.2%)

eval125.0ms (1.6%)

prune183.0ms (2.3%)

simplify203.0ms (2.5%)

localize97.0ms (1.2%)

series37.0ms (0.5%)

simplify193.0ms (2.4%)

rewrite260.0ms (3.2%)

eval868.0ms (10.8%)

prune485.0ms (6%)

simplify151.0ms (1.9%)

localize133.0ms (1.7%)

series52.0ms (0.6%)

simplify166.0ms (2.1%)

rewrite227.0ms (2.8%)

eval681.0ms (8.5%)

prune887.0ms (11%)

regimes92.0ms (1.1%)

regimes17.0ms (0.2%)

regimes2.0ms (0%)

regimes18.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify58.0ms (0.7%)

soundness1.0s (12.6%)

preprocess43.0ms (0.5%)

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