Metrics for Numeric.SpecFunctions:log1p from math-functions-0.1.5.2, A

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample576.0ms (7%)

Memory

51.0MiB live, 744.0MiB allocated

Samples

326.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 174.0ms

ival-mult: 118.0ms (68% of total)

ival-sub: 42.0ms (24.2% of total)

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

exact: 4.0ms (2.3% of total)

ival-assert: 3.0ms (1.7% of total)

Bogosity

preprocess47.0ms (0.6%)

Memory

-26.3MiB live, 57.1MiB allocated

Algorithm

1×	egg-herbie

Rules

280×	`lower-fma.f64`
280×	`lower-fma.f32`
184×	`lower-*.f32`
180×	`lower-*.f64`
146×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	37
1	59	37
2	121	35
3	323	35
4	570	35
5	692	35
6	709	35
0	6	7
0	9	7
1	18	7
2	35	7
3	65	7
4	144	7
5	191	7
6	239	7
7	319	7
8	387	7
9	404	7
10	404	7
0	404	7

Stop Event

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

Calls

Call 1

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

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

explain66.0ms (0.8%)

Memory

-5.6MiB live, 109.5MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(-.f64 #s(literal 1 binary64) (*.f64 x y))`
-	-	`#s(literal 1 binary64)`
-	-	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`
-	-	`(*.f64 x y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

23.0ms

512×

valid

Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 8.0ms (71.3% of total)

ival-sub: 2.0ms (17.8% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify18.0ms (0.2%)

Memory

27.4MiB live, 27.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x y)
✓	cost-diff	(-.f64 #s(literal 1 binary64) (*.f64 x y))
✓	cost-diff	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Rules

280×	`lower-fma.f64`
280×	`lower-fma.f32`
184×	`lower-*.f32`
180×	`lower-*.f64`
74×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	18	18
2	35	18
3	65	18
4	144	18
5	191	18
6	239	18
7	319	18
8	387	18
9	404	18
10	404	18
0	404	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize25.0ms (0.3%)

Memory

-9.5MiB live, 30.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.f64 x y))
✓	accuracy	99.9%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Samples

16.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-sub: 7.0ms (68.2% of total)

ival-mult: 3.0ms (29.2% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs
#<alt (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))>
#<alt (-.f64 #s(literal 1 binary64) (*.f64 x y))>
#<alt (*.f64 x y)>

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt x>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (/ 1 x) y))>
#<alt (* x (- (/ 1 x) y))>
#<alt (* x (- (/ 1 x) y))>
#<alt (* -1 (* x y))>
#<alt (* x (+ (* -1 y) (/ 1 x)))>
#<alt (* x (+ (* -1 y) (/ 1 x)))>
#<alt (* x (+ (* -1 y) (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ 1 y) x))>
#<alt (* y (- (/ 1 y) x))>
#<alt (* y (- (/ 1 y) x))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (/ 1 y)))>
#<alt (* y (+ (* -1 x) (/ 1 y)))>
#<alt (* y (+ (* -1 x) (/ 1 y)))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>

Calls

18 calls:

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

rewrite899.0ms (10.9%)

Memory

13.0MiB live, 804.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

21 824×	`lower-fma.f64`
21 824×	`lower-fma.f32`
3 708×	`lower-*.f32`
3 704×	`lower-*.f64`
3 004×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	31	15
2	190	15
3	1497	15
0	9602	13

Stop Event

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

Counts

3 → 614

Calls

Call 1

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

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

simplify248.0ms (3%)

Memory

-11.9MiB live, 298.1MiB allocated

Algorithm

1×	egg-herbie

Rules

4 738×	`lower-fma.f64`
4 738×	`lower-fma.f32`
4 354×	`lower-*.f64`
4 354×	`lower-*.f32`
2 520×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	368
1	108	332
2	189	332
3	514	332
4	2428	332
5	5830	332
0	8058	332

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 70

Calls

Call 1

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

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

eval413.0ms (5%)

Memory: 28.2MiB live, 179.0MiB allocated
Compiler: Compiled 27 179 to 1 630 computations (94% saved)

prune106.0ms (1.3%)

Memory

-45.0MiB live, 198.6MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	678	6	684
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	679	6	685

Accuracy

100.0%

Counts

685 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (*.f64 x (neg.f64 y)) x x)
▶	92.3%	(fma.f64 (*.f64 x (neg.f64 x)) y x)
	71.3%	(.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x y #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x y #s(literal -1 binary64)) (fma.f64 x y #s(literal -1 binary64)) (.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal -1 binary64)))))))
▶	78.2%	(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) (.f64 (neg.f64 (.f64 x (.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))))
▶	46.9%	(.f64 x (.f64 y (neg.f64 x)))
▶	55.7%	(*.f64 x #s(literal 1 binary64))

Compiler

Compiled 170 to 88 computations (48.2% saved)

simplify328.0ms (4%)

Memory

-4.5MiB live, 492.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) (.f64 (neg.f64 (.f64 x (.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))))
✓	cost-diff	576	(.f64 (neg.f64 (.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))
✓	cost-diff	2368	(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) (.f64 (neg.f64 (.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))))
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(*.f64 x (neg.f64 x))
✓	cost-diff	0	(fma.f64 (*.f64 x (neg.f64 x)) y x)
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(*.f64 y (neg.f64 x))
✓	cost-diff	0	(.f64 x (.f64 y (neg.f64 x)))
✓	cost-diff	320	(*.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(neg.f64 y)
✓	cost-diff	0	(*.f64 x (neg.f64 y))
✓	cost-diff	0	(fma.f64 (*.f64 x (neg.f64 y)) x x)

Rules

10 960×	`lower-fma.f32`
10 954×	`lower-fma.f64`
2 270×	`lower-+.f32`
2 268×	`lower-+.f64`
2 044×	`lower-*.f32`

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	21	137
0	42	120
1	90	119
2	235	119
3	597	116
4	1094	114
5	1954	114
6	2655	114
7	3214	105
8	4025	105
9	4906	104
10	5613	102
11	7809	102
0	8370	102

Stop Event

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

Calls

Call 1

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

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

localize122.0ms (1.5%)

Memory

27.5MiB live, 149.4MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64)))
✓	accuracy	94.0%	(/.f64 x (fma.f64 x y #s(literal 1 binary64)))
✓	accuracy	88.0%	(.f64 x (.f64 y y))
✓	accuracy	86.3%	(.f64 (neg.f64 (.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))
✓	accuracy	100.0%	(*.f64 x (neg.f64 x))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	92.3%	(fma.f64 (*.f64 x (neg.f64 x)) y x)
✓	accuracy	100.0%	(*.f64 y (neg.f64 x))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	99.8%	(.f64 x (.f64 y (neg.f64 x)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x (neg.f64 y))
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	99.9%	(fma.f64 (*.f64 x (neg.f64 y)) x x)

Samples

95.0ms

256×

valid

Compiler

Compiled 139 to 26 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 45.0ms (79.7% of total)

ival-add: 4.0ms (7.1% of total)

ival-div: 3.0ms (5.3% of total)

ival-neg: 3.0ms (5.3% of total)

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

exact: 0.0ms (0% of total)

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

series29.0ms (0.4%)

Memory

-7.3MiB live, 64.6MiB allocated

Counts

15 → 312

Calls

Call 1

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

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt x>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt x>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt x>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* x (+ (* -1 y) (/ 1 x)))>
#<alt (* x (+ (* -1 y) (/ 1 x)))>
#<alt (* x (+ (* -1 y) (/ 1 x)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- y (/ 1 x))))>
#<alt (* -1 (* x (- y (/ 1 x))))>
#<alt (* -1 (* x (- y (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (/ 1 y)))>
#<alt (* y (+ (* -1 x) (/ 1 y)))>
#<alt (* y (+ (* -1 x) (/ 1 y)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- x (/ 1 y))))>
#<alt (* -1 (* y (- x (/ 1 y))))>
#<alt (* -1 (* y (- x (/ 1 y))))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (+ (* -1 (pow y 2)) (* x (pow y 3))))>
#<alt (* (pow x 2) (+ (* -1 (pow y 2)) (* x (+ (* -1 (* x (pow y 4))) (pow y 3)))))>
#<alt (* (pow x 2) (+ (* -1 (pow y 2)) (* x (+ (* x (+ (* -1 (pow y 4)) (* x (pow y 5)))) (pow y 3)))))>
#<alt (* -1 (* x y))>
#<alt (* x (+ (* -1 y) (/ 1 x)))>
#<alt (* x (- (+ (* -1 y) (/ 1 x)) (/ 1 (* (pow x 2) y))))>
#<alt (* x (- (+ (* -1 y) (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2))))) (/ 1 (* (pow x 2) y))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- y (/ 1 x))))>
#<alt (* -1 (* x (+ y (* -1 (/ (- 1 (/ 1 (* x y))) x)))))>
#<alt (* -1 (* x (+ y (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))) x)))))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 (pow x 2)) (* (pow x 3) y)))>
#<alt (* (pow y 2) (+ (* -1 (pow x 2)) (* y (+ (* -1 (* (pow x 4) y)) (pow x 3)))))>
#<alt (* (pow y 2) (+ (* -1 (pow x 2)) (* y (+ (* y (+ (* -1 (pow x 4)) (* (pow x 5) y))) (pow x 3)))))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (/ 1 y)))>
#<alt (* y (- (+ (* -1 x) (/ 1 y)) (/ 1 (* x (pow y 2)))))>
#<alt (* y (- (+ (* -1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3))))) (/ 1 (* x (pow y 2)))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- x (/ 1 y))))>
#<alt (* -1 (* y (+ x (* -1 (/ (- 1 (/ 1 (* x y))) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y))) y)))))>
#<alt x>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt x>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (+ 1 (* x (- (* x (pow y 2)) y)))>
#<alt (+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y)))>
#<alt (/ 1 (* x y))>
#<alt (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x)>
#<alt (/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))) x)>
#<alt (/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))) x)>
#<alt (/ 1 (* x y))>
#<alt (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x))>
#<alt 1>
#<alt (+ 1 (* -1 (* x y)))>
#<alt (+ 1 (* y (- (* (pow x 2) y) x)))>
#<alt (+ 1 (* y (- (* y (- (* -1 (* (pow x 3) y)) (* -1 (pow x 2)))) x)))>
#<alt (/ 1 (* x y))>
#<alt (/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y)>
#<alt (/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (/ 1 (* (pow x 2) y))) y)>
#<alt (/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) (pow y 3))))) y)>
#<alt (/ 1 (* x y))>
#<alt (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt x>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* x (- (* x (pow y 2)) y))))>
#<alt (* x (+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y))))>
#<alt (/ 1 y)>
#<alt (- (/ 1 y) (/ 1 (* x (pow y 2))))>
#<alt (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2))))>
#<alt (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4)))))>
#<alt (/ 1 y)>
#<alt (- (/ 1 y) (/ 1 (* x (pow y 2))))>
#<alt (+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y))>
#<alt x>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* y (- (* (pow x 3) y) (pow x 2))))>
#<alt (+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2))))>
#<alt (/ 1 y)>
#<alt (/ (- 1 (/ 1 (* x y))) y)>
#<alt (/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) y)>
#<alt (/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) y)>
#<alt (/ 1 y)>
#<alt (* -1 (/ (- (/ 1 (* x y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) 1) y))>

Calls

78 calls:

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

rewrite527.0ms (6.4%)

Memory

25.7MiB live, 776.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 864×	`lower-fma.f32`
9 858×	`lower-fma.f64`
4 976×	`lower-*.f32`
4 958×	`lower-*.f64`
4 224×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	111
0	42	94
1	151	89
2	950	77
0	9018	77

Stop Event

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

Counts

15 → 1 393

Calls

Call 1

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

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

simplify387.0ms (4.7%)

Memory

4.0MiB live, 676.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 676×	`lower-fma.f64`
11 676×	`lower-fma.f32`
4 050×	`lower-*.f64`
4 050×	`lower-*.f32`
2 264×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	248	2259
1	799	2100
2	2144	2006
3	6737	2006
0	8407	1983

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 292

Calls

Call 1

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

eval265.0ms (3.2%)

Memory: -35.5MiB live, 386.2MiB allocated
Compiler: Compiled 55 132 to 2 826 computations (94.9% saved)

prune134.0ms (1.6%)

Memory

24.6MiB live, 337.0MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	1 710	5	1 715
Fresh	1	0	1
Picked	3	2	5
Done	0	0	0
Total	1 714	7	1 721

Accuracy

100.0%

Counts

1 721 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.0%	(fma.f64 (.f64 y (.f64 x (neg.f64 x))) (*.f64 y (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))
✓	99.9%	(fma.f64 (*.f64 x (neg.f64 y)) x x)
▶	38.4%	(/.f64 (neg.f64 (.f64 x (.f64 y (*.f64 x y)))) y)
▶	42.0%	(.f64 (.f64 x (neg.f64 x)) y)
▶	77.4%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 x (.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))))
✓	46.9%	(.f64 x (.f64 y (neg.f64 x)))
▶	55.7%	x

Compiler

Compiled 147 to 80 computations (45.6% saved)

simplify348.0ms (4.2%)

Memory

-11.7MiB live, 355.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 (.f64 x (.f64 y y)))
✓	cost-diff	0	(.f64 (neg.f64 (.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 x (.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))))
✓	cost-diff	0	(.f64 y (.f64 x y))
✓	cost-diff	0	(.f64 x (.f64 y (*.f64 x y)))
✓	cost-diff	0	(neg.f64 (.f64 x (.f64 y (*.f64 x y))))
✓	cost-diff	1024	(/.f64 (neg.f64 (.f64 x (.f64 y (*.f64 x y)))) y)
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(*.f64 x (neg.f64 x))
✓	cost-diff	0	(.f64 (.f64 x (neg.f64 x)) y)
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(*.f64 x (neg.f64 x))
✓	cost-diff	0	(.f64 y (.f64 x (neg.f64 x)))
✓	cost-diff	1088	(fma.f64 (.f64 y (.f64 x (neg.f64 x))) (*.f64 y (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))

Rules

7 974×	`lower-fma.f32`
7 970×	`lower-fma.f64`
4 540×	`lower-*.f32`
4 518×	`lower-*.f64`
1 688×	`lower-neg.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	22	176
0	42	172
1	100	166
2	257	166
3	930	163
4	1693	162
5	3688	161
6	4648	161
7	7650	161
0	8099	161

Stop Event

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

Calls

Call 1

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

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

localize114.0ms (1.4%)

Memory

19.9MiB live, 135.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 x (.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))))
✓	accuracy	94.0%	(/.f64 x (fma.f64 x y #s(literal 1 binary64)))
✓	accuracy	88.0%	(.f64 x (.f64 y y))
✓	accuracy	86.3%	(.f64 (neg.f64 (.f64 x (*.f64 y y))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))
✓	accuracy	100.0%	(neg.f64 (.f64 x (.f64 y (*.f64 x y))))
✓	accuracy	99.8%	(.f64 y (.f64 x y))
✓	accuracy	95.4%	(.f64 x (.f64 y (*.f64 x y)))
✓	accuracy	84.7%	(/.f64 (neg.f64 (.f64 x (.f64 y (*.f64 x y)))) y)
✓	accuracy	100.0%	(*.f64 x (neg.f64 x))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	87.3%	(.f64 (.f64 x (neg.f64 x)) y)
✓	accuracy	100.0%	(fma.f64 (.f64 y (.f64 x (neg.f64 x))) (*.f64 y (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))
✓	accuracy	99.9%	(*.f64 y (/.f64 x (fma.f64 x y #s(literal 1 binary64))))
✓	accuracy	94.0%	(/.f64 x (fma.f64 x y #s(literal 1 binary64)))
✓	accuracy	87.3%	(.f64 y (.f64 x (neg.f64 x)))

Samples

70.0ms

256×

valid

Compiler

Compiled 178 to 25 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-add: 30.0ms (54.6% of total)

ival-mult: 17.0ms (31% of total)

ival-div: 5.0ms (9.1% of total)

ival-neg: 3.0ms (5.5% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Memory

-3.7MiB live, 34.3MiB allocated

Counts

16 → 360

Calls

Call 1

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

Outputs
#<alt x>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt x>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt 1>
#<alt (+ 1 (* -1 (* (pow x 2) (pow y 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1 (pow y 2)) (* x (pow y 3)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1 (pow y 2)) (* x (+ (* -1 (* x (pow y 4))) (pow y 3))))))>
#<alt (* -1 (* x y))>
#<alt (* x (+ (* -1 y) (* 2 (/ 1 x))))>
#<alt (* x (- (+ (* -1 y) (* 2 (/ 1 x))) (/ 1 (* (pow x 2) y))))>
#<alt (* x (- (+ (* -1 y) (+ (* 2 (/ 1 x)) (/ 1 (* (pow x 3) (pow y 2))))) (/ 1 (* (pow x 2) y))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- y (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (+ y (* -1 (/ (- 2 (/ 1 (* x y))) x)))))>
#<alt (* -1 (* x (+ y (* -1 (/ (+ 2 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))) x)))))>
#<alt 1>
#<alt (+ 1 (* -1 (* (pow x 2) (pow y 2))))>
#<alt (+ 1 (* (pow y 2) (+ (* -1 (pow x 2)) (* (pow x 3) y))))>
#<alt (+ 1 (* (pow y 2) (+ (* -1 (pow x 2)) (* y (+ (* -1 (* (pow x 4) y)) (pow x 3))))))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (* 2 (/ 1 y))))>
#<alt (* y (- (+ (* -1 x) (* 2 (/ 1 y))) (/ 1 (* x (pow y 2)))))>
#<alt (* y (- (+ (* -1 x) (+ (* 2 (/ 1 y)) (/ 1 (* (pow x 2) (pow y 3))))) (/ 1 (* x (pow y 2)))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- x (* 2 (/ 1 y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (- 2 (/ 1 (* x y))) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ 2 (* -1 (/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y))) y)))))>
#<alt x>
#<alt (* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))>
#<alt (* x (+ 1 (* (pow x 2) (+ (* -1 (pow y 2)) (* x (pow y 3))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ (* -1 (pow y 2)) (* x (+ (* -1 (* x (pow y 4))) (pow y 3)))))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ (* -1 y) (* 2 (/ 1 x))) (/ 1 (* (pow x 2) y))))>
#<alt (* (pow x 2) (- (+ (* -1 y) (+ (* 2 (/ 1 x)) (/ 1 (* (pow x 3) (pow y 2))))) (/ 1 (* (pow x 2) y))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ (* -1 y) (* -1 (/ (- (/ 1 (* x y)) 2) x))))>
#<alt (* (pow x 2) (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) 2) x))))>
#<alt x>
#<alt (+ x (* -1 (* (pow x 3) (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1 (pow x 3)) (* (pow x 4) y))))>
#<alt (+ x (* (pow y 2) (+ (* -1 (pow x 3)) (* y (+ (* -1 (* (pow x 5) y)) (pow x 4))))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* y (+ (* -1 (pow x 2)) (* 2 (/ x y))))>
#<alt (* y (- (+ (* -1 (pow x 2)) (* 2 (/ x y))) (/ 1 (pow y 2))))>
#<alt (* y (- (+ (* -1 (pow x 2)) (+ (* 2 (/ x y)) (/ 1 (* x (pow y 3))))) (/ 1 (pow y 2))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* y (+ (* -2 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ (- (* 2 x) (/ 1 y)) y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (- 1 (/ 1 (* x y))) y)) (* 2 x)) y)) (pow x 2))))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (+ (* -1 (pow y 2)) (* x (pow y 3))))>
#<alt (* (pow x 2) (+ (* -1 (pow y 2)) (* x (+ (* -1 (* x (pow y 4))) (pow y 3)))))>
#<alt (* (pow x 2) (+ (* -1 (pow y 2)) (* x (+ (* x (+ (* -1 (pow y 4)) (* x (pow y 5)))) (pow y 3)))))>
#<alt (* -1 (* x y))>
#<alt (* x (+ (* -1 y) (/ 1 x)))>
#<alt (* x (- (+ (* -1 y) (/ 1 x)) (/ 1 (* (pow x 2) y))))>
#<alt (* x (- (+ (* -1 y) (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2))))) (/ 1 (* (pow x 2) y))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- y (/ 1 x))))>
#<alt (* -1 (* x (+ y (* -1 (/ (- 1 (/ 1 (* x y))) x)))))>
#<alt (* -1 (* x (+ y (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))) x)))))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 (pow x 2)) (* (pow x 3) y)))>
#<alt (* (pow y 2) (+ (* -1 (pow x 2)) (* y (+ (* -1 (* (pow x 4) y)) (pow x 3)))))>
#<alt (* (pow y 2) (+ (* -1 (pow x 2)) (* y (+ (* y (+ (* -1 (pow x 4)) (* (pow x 5) y))) (pow x 3)))))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (/ 1 y)))>
#<alt (* y (- (+ (* -1 x) (/ 1 y)) (/ 1 (* x (pow y 2)))))>
#<alt (* y (- (+ (* -1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3))))) (/ 1 (* x (pow y 2)))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- x (/ 1 y))))>
#<alt (* -1 (* y (+ x (* -1 (/ (- 1 (/ 1 (* x y))) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y))) y)))))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt x>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* x (- (* x (pow y 2)) y))))>
#<alt (* x (+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y))))>
#<alt (/ 1 y)>
#<alt (- (/ 1 y) (/ 1 (* x (pow y 2))))>
#<alt (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2))))>
#<alt (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4)))))>
#<alt (/ 1 y)>
#<alt (- (/ 1 y) (/ 1 (* x (pow y 2))))>
#<alt (+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y))>
#<alt x>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* y (- (* (pow x 3) y) (pow x 2))))>
#<alt (+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2))))>
#<alt (/ 1 y)>
#<alt (/ (- 1 (/ 1 (* x y))) y)>
#<alt (/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) y)>
#<alt (/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) y)>
#<alt (/ 1 y)>
#<alt (* -1 (/ (- (/ 1 (* x y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) 1) y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (* (pow x 2) y))))>
#<alt (* y (+ x (* y (- (* (pow x 3) y) (pow x 2)))))>
#<alt (* y (+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2)))))>
#<alt 1>
#<alt (- 1 (/ 1 (* x y)))>
#<alt (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y)))>
#<alt (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3)))))>
#<alt 1>
#<alt (- 1 (/ 1 (* x y)))>
#<alt (+ 1 (* -1 (/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow x 3) y))) y)) (/ 1 x)) y)))>
#<alt (* x y)>
#<alt (* x (+ y (* -1 (* x (pow y 2)))))>
#<alt (* x (+ y (* x (- (* x (pow y 3)) (pow y 2)))))>
#<alt (* x (+ y (* x (- (* x (- (* -1 (* x (pow y 4))) (* -1 (pow y 3)))) (pow y 2)))))>
#<alt 1>
#<alt (- 1 (/ 1 (* x y)))>
#<alt (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y)))>
#<alt (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3)))))>
#<alt 1>
#<alt (- 1 (/ 1 (* x y)))>
#<alt (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y)) x)))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>

Calls

90 calls:

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

rewrite416.0ms (5%)

Memory

10.6MiB live, 676.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 060×	`lower-fma.f32`
11 056×	`lower-fma.f64`
4 894×	`lower-*.f32`
4 872×	`lower-*.f64`
4 076×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	139
0	42	139
1	151	119
2	970	118
0	8737	118

Stop Event

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

Counts

16 → 876

Calls

Call 1

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

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

simplify408.0ms (4.9%)

Memory

15.7MiB live, 831.3MiB allocated

Algorithm

1×	egg-herbie

Rules

13 538×	`lower-fma.f64`
13 538×	`lower-fma.f32`
4 198×	`lower-*.f64`
4 198×	`lower-*.f32`
3 884×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	337	3092
1	1147	2892
2	3284	2831
0	8219	2800

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 354

Calls

Call 1

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

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

eval267.0ms (3.2%)

Memory: 21.9MiB live, 459.3MiB allocated
Compiler: Compiled 36 582 to 2 925 computations (92% saved)

prune203.0ms (2.5%)

Memory

-53.5MiB live, 369.1MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	1 416	2	1 418
Fresh	0	0	0
Picked	2	3	5
Done	0	2	2
Total	1 418	7	1 425

Accuracy

100.0%

Counts

1 425 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x (neg.f64 y)) x x)
▶	85.1%	(fma.f64 y (.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (.f64 y (*.f64 x (neg.f64 x)))) x)
▶	30.5%	(/.f64 (.f64 (.f64 y (neg.f64 y)) (*.f64 x x)) y)
✓	38.4%	(/.f64 (neg.f64 (.f64 x (.f64 y (*.f64 x y)))) y)
✓	42.0%	(.f64 (.f64 x (neg.f64 x)) y)
✓	46.9%	(.f64 x (.f64 y (neg.f64 x)))
✓	55.7%	x

Compiler

Compiled 70 to 41 computations (41.4% saved)

simplify170.0ms (2.1%)

Memory

23.0MiB live, 335.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 y x #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (.f64 y (*.f64 x (neg.f64 x))))
✓	cost-diff	0	(fma.f64 y (.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (.f64 y (*.f64 x (neg.f64 x)))) x)
✓	cost-diff	0	(neg.f64 y)
✓	cost-diff	0	(*.f64 y (neg.f64 y))
✓	cost-diff	0	(.f64 (.f64 y (neg.f64 y)) (*.f64 x x))
✓	cost-diff	1024	(/.f64 (.f64 (.f64 y (neg.f64 y)) (*.f64 x x)) y)

Rules

3 864×	`lower-*.f32`
3 852×	`lower-*.f64`
2 514×	`lower-fma.f32`
2 510×	`lower-fma.f64`
2 300×	`lower-neg.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	83
0	29	87
1	61	87
2	164	87
3	631	75
4	1449	75
5	2731	75
6	4889	75
0	8252	75

Stop Event

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

Calls

Call 1

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

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

localize99.0ms (1.2%)

Memory

-18.6MiB live, 100.9MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	94.0%	(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
✓	accuracy	92.8%	(fma.f64 y (.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (.f64 y (*.f64 x (neg.f64 x)))) x)
✓	accuracy	92.5%	(.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (.f64 y (*.f64 x (neg.f64 x))))
✓	accuracy	87.3%	(.f64 y (.f64 x (neg.f64 x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	84.7%	(/.f64 (.f64 (.f64 y (neg.f64 y)) (*.f64 x x)) y)
✓	accuracy	75.1%	(.f64 (.f64 y (neg.f64 y)) (*.f64 x x))

Samples

31.0ms

256×

valid

Compiler

Compiled 85 to 19 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 13.0ms (61.7% of total)

ival-div: 3.0ms (14.2% of total)

ival-add: 2.0ms (9.5% of total)

ival-neg: 2.0ms (9.5% 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

12.0MiB live, 12.0MiB allocated

Counts

10 → 204

Calls

Call 1

Inputs
#<alt (/.f64 (.f64 (.f64 y (neg.f64 y)) (*.f64 x x)) y)>
#<alt (.f64 (.f64 y (neg.f64 y)) (*.f64 x x))>
#<alt (*.f64 y (neg.f64 y))>
#<alt (neg.f64 y)>
#<alt (fma.f64 y (.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (.f64 y (*.f64 x (neg.f64 x)))) x)>
#<alt (.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (.f64 y (*.f64 x (neg.f64 x))))>
#<alt (/.f64 x (fma.f64 y x #s(literal 1 binary64)))>
#<alt (fma.f64 y x #s(literal 1 binary64))>
#<alt (*.f64 x x)>
#<alt (.f64 y (.f64 x (neg.f64 x)))>

Outputs
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt x>
#<alt (+ x (* -1 (* (pow x 3) (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1 (pow x 3)) (* (pow x 4) y))))>
#<alt (+ x (* (pow y 2) (+ (* -1 (pow x 3)) (* y (+ (* -1 (* (pow x 5) y)) (pow x 4))))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* y (+ (* -1 (pow x 2)) (* 2 (/ x y))))>
#<alt (* y (- (+ (* -1 (pow x 2)) (* 2 (/ x y))) (/ 1 (pow y 2))))>
#<alt (* y (- (+ (* -1 (pow x 2)) (+ (* 2 (/ x y)) (/ 1 (* x (pow y 3))))) (/ 1 (pow y 2))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* y (+ (* -2 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ (- (* 2 x) (/ 1 y)) y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (- 1 (/ 1 (* x y))) y)) (* 2 x)) y)) (pow x 2))))>
#<alt x>
#<alt (* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))>
#<alt (* x (+ 1 (* (pow x 2) (+ (* -1 (pow y 2)) (* x (pow y 3))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ (* -1 (pow y 2)) (* x (+ (* -1 (* x (pow y 4))) (pow y 3)))))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ (* -1 y) (* 2 (/ 1 x))) (/ 1 (* (pow x 2) y))))>
#<alt (* (pow x 2) (- (+ (* -1 y) (+ (* 2 (/ 1 x)) (/ 1 (* (pow x 3) (pow y 2))))) (/ 1 (* (pow x 2) y))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ (* -1 y) (* -1 (/ (- (/ 1 (* x y)) 2) x))))>
#<alt (* (pow x 2) (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) 2) x))))>
#<alt (* -1 (* (pow x 3) y))>
#<alt (* (pow x 3) (+ (* -1 y) (* x (pow y 2))))>
#<alt (* (pow x 3) (+ (* -1 y) (* x (+ (* -1 (* x (pow y 3))) (pow y 2)))))>
#<alt (* (pow x 3) (+ (* -1 y) (* x (+ (* x (+ (* -1 (pow y 3)) (* x (pow y 4)))) (pow y 2)))))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (* x y)) 1))>
#<alt (* (pow x 2) (- (/ 1 (* x y)) (+ 1 (/ 1 (* (pow x 2) (pow y 2))))))>
#<alt (* (pow x 2) (- (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3)))) (+ 1 (/ 1 (* (pow x 2) (pow y 2))))))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (* x y)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) 1))>
#<alt (* -1 (* (pow x 3) y))>
#<alt (* y (+ (* -1 (pow x 3)) (* (pow x 4) y)))>
#<alt (* y (+ (* -1 (pow x 3)) (* y (+ (* -1 (* (pow x 5) y)) (pow x 4)))))>
#<alt (* y (+ (* -1 (pow x 3)) (* y (+ (* y (+ (* -1 (pow x 5)) (* (pow x 6) y))) (pow x 4)))))>
#<alt (* -1 (pow x 2))>
#<alt (+ (* -1 (pow x 2)) (/ x y))>
#<alt (- (+ (* -1 (pow x 2)) (/ x y)) (/ 1 (pow y 2)))>
#<alt (- (+ (* -1 (pow x 2)) (+ (/ 1 (* x (pow y 3))) (/ x y))) (/ 1 (pow y 2)))>
#<alt (* -1 (pow x 2))>
#<alt (+ (* -1 (pow x 2)) (/ x y))>
#<alt (+ (* -1 (/ (- (/ 1 y) x) y)) (* -1 (pow x 2)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) 1) y)) x) y)) (* -1 (pow x 2)))>
#<alt x>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* x (- (* x (pow y 2)) y))))>
#<alt (* x (+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y))))>
#<alt (/ 1 y)>
#<alt (- (/ 1 y) (/ 1 (* x (pow y 2))))>
#<alt (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2))))>
#<alt (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4)))))>
#<alt (/ 1 y)>
#<alt (- (/ 1 y) (/ 1 (* x (pow y 2))))>
#<alt (+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y))>
#<alt x>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* y (- (* (pow x 3) y) (pow x 2))))>
#<alt (+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2))))>
#<alt (/ 1 y)>
#<alt (/ (- 1 (/ 1 (* x y))) y)>
#<alt (/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) y)>
#<alt (/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) y)>
#<alt (/ 1 y)>
#<alt (* -1 (/ (- (/ 1 (* x y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) 1) y))>
#<alt 1>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ 1 y)))>
#<alt (* y (+ x (/ 1 y)))>
#<alt (* y (+ x (/ 1 y)))>
#<alt (* x y)>
#<alt (* -1 (* y (- (* -1 x) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1 x) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1 x) (/ 1 y))))>
#<alt 1>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x y))>
#<alt (+ 1 (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ 1 x)))>
#<alt (* x (+ y (/ 1 x)))>
#<alt (* x (+ y (/ 1 x)))>
#<alt (* x y)>
#<alt (* -1 (* x (- (* -1 y) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 y) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 y) (/ 1 x))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* (pow x 2) y))>

Calls

51 calls:

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

rewrite434.0ms (5.2%)

Memory

17.4MiB live, 563.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 826×	`lower-fma.f32`
6 822×	`lower-fma.f64`
5 232×	`lower-*.f32`
5 220×	`lower-*.f64`
2 832×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	72
0	29	76
1	99	69
2	604	62
3	6855	62
0	8445	62

Stop Event

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

Counts

10 → 746

Calls

Call 1

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

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

simplify443.0ms (5.4%)

Memory

-2.6MiB live, 515.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 254×	`lower-fma.f64`
9 254×	`lower-fma.f32`
3 814×	`lower--.f64`
3 814×	`lower--.f32`
3 354×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	257	1740
1	846	1661
2	2368	1594
3	6252	1574
0	8521	1534

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 200

Calls

Call 1

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

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

eval383.0ms (4.6%)

Memory: -126.8MiB live, 276.4MiB allocated
Compiler: Compiled 23 421 to 2 290 computations (90.2% saved)

prune113.0ms (1.4%)

Memory

19.4MiB live, 293.5MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	945	1	946
Fresh	0	0	0
Picked	1	1	2
Done	0	5	5
Total	946	7	953

Accuracy

100.0%

Counts

953 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x (neg.f64 y)) x x)
	73.8%	(fma.f64 y (.f64 (/.f64 x (.f64 x y)) (.f64 y (.f64 x (neg.f64 x)))) x)
✓	30.5%	(/.f64 (.f64 (.f64 y (neg.f64 y)) (*.f64 x x)) y)
✓	38.4%	(/.f64 (neg.f64 (.f64 x (.f64 y (*.f64 x y)))) y)
✓	42.0%	(.f64 (.f64 x (neg.f64 x)) y)
✓	46.9%	(.f64 x (.f64 y (neg.f64 x)))
✓	55.7%	x

Compiler

Compiled 247 to 96 computations (61.1% saved)

regimes17.0ms (0.2%)

Memory

1.5MiB live, 39.1MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	y
5.0ms	x
5.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory

-7.9MiB live, 28.6MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	x
3.0ms	y
2.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes13.0ms (0.2%)

Memory

-8.4MiB live, 29.9MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs
(.f64 x (.f64 y (neg.f64 x)))
x
(.f64 x (.f64 y (neg.f64 x)))

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))

Results

Accuracy	Segments	Branch
80.3%	3	`x`
73.0%	3	`y`
88.9%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
x

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
55.7%	1	`y`
55.7%	1	`x`
55.7%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3155921555805696e+147	6.405407523410225e+168
0.0ms	-5.472605645944546e+149	-2.155921516302217e+133

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify7.0ms (0.1%)

Memory

19.9MiB live, 19.9MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
10×	`+-commutative_binary64`
10×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	48
1	37	48
2	48	48
3	58	48
4	61	48
5	62	48

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (*.f64 x (neg.f64 y)) x x)
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -499999999999999990417798086218687295286560007015159396545582405077050056101839291488149134308110575981351030133088002720283516165604201974116686757888 binary64)) (.f64 x (.f64 y (neg.f64 x))) (if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 1999999999999999955992764811315320348729647778935602161544506489938527878458214984853852098846521027939536536831074154937676864613462292790727671808 binary64)) x (.f64 x (.f64 y (neg.f64 x)))))
x

Outputs
(fma.f64 (*.f64 x (neg.f64 y)) x x)
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -499999999999999990417798086218687295286560007015159396545582405077050056101839291488149134308110575981351030133088002720283516165604201974116686757888 binary64)) (.f64 x (.f64 y (neg.f64 x))) (if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 1999999999999999955992764811315320348729647778935602161544506489938527878458214984853852098846521027939536536831074154937676864613462292790727671808 binary64)) x (.f64 x (.f64 y (neg.f64 x)))))
(if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -499999999999999990417798086218687295286560007015159396545582405077050056101839291488149134308110575981351030133088002720283516165604201974116686757888 binary64)) (.f64 x (.f64 x (neg.f64 y))) (if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 1999999999999999955992764811315320348729647778935602161544506489938527878458214984853852098846521027939536536831074154937676864613462292790727671808 binary64)) x (.f64 x (.f64 x (neg.f64 y)))))
x

soundness554.0ms (6.7%)

Memory

-35.9MiB live, 370.5MiB allocated

Rules

21 824×	`lower-fma.f64`
21 824×	`lower-fma.f32`
9 864×	`lower-fma.f32`
9 858×	`lower-fma.f64`
4 976×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	31	15
2	190	15
3	1497	15
0	9602	13
0	34	368
1	108	332
2	189	332
3	514	332
4	2428	332
5	5830	332
0	8058	332
0	21	111
0	42	94
1	151	89
2	950	77
0	9018	77

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

Compiler

Compiled 83 to 38 computations (54.2% saved)

preprocess54.0ms (0.7%)

Memory: 35.7MiB live, 72.4MiB allocated
Compiler: Compiled 118 to 44 computations (62.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	37
1	59	37
2	121	35
3	323	35
4	570	35
5	692	35
6	709	35
0	6	7
0	9	7
1	18	7
2	35	7
3	65	7
4	144	7
5	191	7
6	239	7
7	319	7
8	387	7
9	404	7
10	404	7
0	404	7

Iter	Nodes	Cost
0	6	18
0	9	18
1	18	18
2	35	18
3	65	18
4	144	18
5	191	18
6	239	18
7	319	18
8	387	18
9	404	18
10	404	18
0	404	18

Iter	Nodes	Cost
0	16	37
1	59	37
2	121	35
3	323	35
4	570	35
5	692	35
6	709	35
0	6	7
0	9	7
1	18	7
2	35	7
3	65	7
4	144	7
5	191	7
6	239	7
7	319	7
8	387	7
9	404	7
10	404	7
0	404	7

Iter	Nodes	Cost
0	6	18
0	9	18
1	18	18
2	35	18
3	65	18
4	144	18
5	191	18
6	239	18
7	319	18
8	387	18
9	404	18
10	404	18
0	404	18

analyze0.0ms (0%)

sample576.0ms (7%)

preprocess47.0ms (0.6%)

explain66.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify18.0ms (0.2%)

localize25.0ms (0.3%)

series5.0ms (0.1%)

rewrite899.0ms (10.9%)

simplify248.0ms (3%)

eval413.0ms (5%)

prune106.0ms (1.3%)

simplify328.0ms (4%)

localize122.0ms (1.5%)

series29.0ms (0.4%)

rewrite527.0ms (6.4%)

simplify387.0ms (4.7%)

eval265.0ms (3.2%)

prune134.0ms (1.6%)

simplify348.0ms (4.2%)

localize114.0ms (1.4%)

series15.0ms (0.2%)

rewrite416.0ms (5%)

simplify408.0ms (4.9%)

eval267.0ms (3.2%)

prune203.0ms (2.5%)

simplify170.0ms (2.1%)

localize99.0ms (1.2%)

series6.0ms (0.1%)

rewrite434.0ms (5.2%)

simplify443.0ms (5.4%)

eval383.0ms (4.6%)

prune113.0ms (1.4%)

regimes17.0ms (0.2%)

regimes10.0ms (0.1%)

regimes13.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

soundness554.0ms (6.7%)

preprocess54.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	37
1	59	37
2	121	35
3	323	35
4	570	35
5	692	35
6	709	35
0	6	7
0	9	7
1	18	7
2	35	7
3	65	7
4	144	7
5	191	7
6	239	7
7	319	7
8	387	7
9	404	7
10	404	7
0	404	7

Iter	Nodes	Cost
0	6	18
0	9	18
1	18	18
2	35	18
3	65	18
4	144	18
5	191	18
6	239	18
7	319	18
8	387	18
9	404	18
10	404	18
0	404	18