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

analyze0.0ms (0%)

Memory

2.1MiB live, 2.1MiB 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)

sample534.0ms (6%)

Memory

17.2MiB live, 794.8MiB allocated

Samples

358.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 182.0ms

ival-mult: 120.0ms (65.9% of total)

ival-sub: 49.0ms (26.9% of total)

ival-true: 6.0ms (3.3% of total)

exact: 4.0ms (2.2% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

preprocess39.0ms (0.4%)

Memory

12.6MiB live, 50.7MiB allocated

Algorithm

1×	egg-herbie

Rules

280×	`accelerator-lowering-fma.f32`
280×	`accelerator-lowering-fma.f64`
184×	`-lowering-.f32`
184×	`-lowering-.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
1	15	7
2	32	7
3	62	7
4	144	7
5	191	7
6	240	7
7	320	7
8	387	7
9	404	7
10	404	7
0	404	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(* x (- 1 (* x y)))

Outputs
(* x (- 1 (* x y)))
(-.f64 x (.f64 x (.f64 x y)))

explain290.0ms (3.3%)

Memory

-22.3MiB live, 99.3MiB 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

38.0ms

512×

valid

Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 22.0ms (85.9% of total)

ival-sub: 2.0ms (7.8% 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.4MiB live, 2.3MiB 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)

simplify58.0ms (0.6%)

Memory

-10.2MiB live, 28.3MiB 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×	`accelerator-lowering-fma.f32`
280×	`accelerator-lowering-fma.f64`
184×	`-lowering-.f32`
184×	`-lowering-.f64`
74×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	15	18
2	32	18
3	62	18
4	144	18
5	191	18
6	240	18
7	320	18
8	387	18
9	404	18
10	404	18
0	404	18

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* x (- 1 (* x y)))
x
(- 1 (* x y))
1
(* x y)
y

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

localize21.0ms (0.2%)

Memory

6.0MiB live, 42.7MiB 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

12.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 5.0ms (80.4% of total)

ival-sub: 1.0ms (16.1% 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

12.0MiB live, 12.0MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs
#<alt (* x (- 1 (* x y)))>
#<alt (- 1 (* x y))>
#<alt (* 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	@	inf	(* x (- 1 (* x y)))
0.0ms	x	@	0	(* x (- 1 (* x y)))
0.0ms	x	@	-inf	(* x (- 1 (* x y)))

rewrite829.0ms (9.3%)

Memory

7.3MiB live, 905.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

21 824×	`accelerator-lowering-fma.f32`
21 824×	`accelerator-lowering-fma.f64`
3 708×	`-lowering-.f32`
3 708×	`-lowering-.f64`
3 004×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	28	15
2	187	15
3	1499	15
0	9595	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 614

Calls

Call 1

Inputs
(* x (- 1 (* x y)))
(- 1 (* x y))
(* x y)

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

simplify257.0ms (2.9%)

Memory

-13.0MiB live, 413.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4 738×	`accelerator-lowering-fma.f32`
4 738×	`accelerator-lowering-fma.f64`
4 354×	`-lowering-.f32`
4 354×	`-lowering-.f64`
2 520×	`/-lowering-/.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 → 72

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)

eval84.0ms (0.9%)

Memory: 20.2MiB live, 179.2MiB allocated
Compiler: Compiled 27 181 to 1 622 computations (94% saved)

prune129.0ms (1.5%)

Memory

-7.1MiB live, 271.3MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	678	8	686
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	679	8	687

Accuracy

100.0%

Counts

687 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (*.f64 y (neg.f64 x)) x x)
▶	89.5%	(fma.f64 (*.f64 x (neg.f64 x)) y x)
	68.4%	(.f64 x (/.f64 (neg.f64 (fma.f64 x (.f64 x (*.f64 y y)) #s(literal -1 binary64))) (fma.f64 x y #s(literal 1 binary64))))
▶	86.9%	(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) (.f64 (.f64 x (.f64 y (neg.f64 x))) (/.f64 y (fma.f64 x y #s(literal 1 binary64))))))
	64.1%	(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) (.f64 (neg.f64 (.f64 y y)) (/.f64 (.f64 x x) (fma.f64 x y #s(literal 1 binary64))))))
▶	87.0%	(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) (.f64 (neg.f64 y) (/.f64 (.f64 x (.f64 x y)) (fma.f64 x y #s(literal 1 binary64))))))
	52.8%	(.f64 x (.f64 y (neg.f64 x)))
▶	49.6%	x

Compiler

Compiled 238 to 128 computations (46.2% saved)

simplify356.0ms (4%)

Memory

-0.0MiB live, 346.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x y #s(literal 1 binary64))
✓	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 (.f64 x (.f64 y (neg.f64 x))) (/.f64 y (fma.f64 x y #s(literal 1 binary64))))))
✓	cost-diff	1216	(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) (.f64 (.f64 x (*.f64 y (neg.f64 x))) (/.f64 y (fma.f64 x y #s(literal 1 binary64)))))
✓	cost-diff	0	(fma.f64 x y #s(literal 1 binary64))
✓	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 y) (/.f64 (.f64 x (.f64 x y)) (fma.f64 x y #s(literal 1 binary64))))))
✓	cost-diff	1216	(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) (.f64 (neg.f64 y) (/.f64 (.f64 x (*.f64 x y)) (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	(fma.f64 (*.f64 y (neg.f64 x)) x x)

Rules

6 036×	`accelerator-lowering-fma.f32`
6 036×	`accelerator-lowering-fma.f64`
1 988×	`-lowering-.f32`
1 988×	`-lowering-.f64`
1 688×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	223
1	77	219
2	189	217
3	579	207
4	1321	195
5	1767	187
6	2912	187
7	3513	187
8	3924	187
9	3936	187
10	3939	187
11	3939	187
12	4027	187
13	4315	187
14	4945	187
15	5696	187
16	6228	187
17	7148	187
18	7777	187
0	8021	177

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (* y (neg x)) x) x)
(* y (neg x))
y
(neg x)
x
x
(+ (* (* x (neg x)) y) x)
(* x (neg x))
x
(neg x)
y
(* x (+ (/ 1 (+ (* x y) 1)) (* (neg y) (/ (* x (* x y)) (+ (* x y) 1)))))
x
(+ (/ 1 (+ (* x y) 1)) (* (neg y) (/ (* x (* x y)) (+ (* x y) 1))))
(/ 1 (+ (* x y) 1))
1
(+ (* x y) 1)
y
(* (neg y) (/ (* x (* x y)) (+ (* x y) 1)))
(neg y)
(/ (* x (* x y)) (+ (* x y) 1))
(* x (* x y))
(* x y)
(* x (+ (/ 1 (+ (* x y) 1)) (* (* x (* y (neg x))) (/ y (+ (* x y) 1)))))
x
(+ (/ 1 (+ (* x y) 1)) (* (* x (* y (neg x))) (/ y (+ (* x y) 1))))
(/ 1 (+ (* x y) 1))
1
(+ (* x y) 1)
y
(* (* x (* y (neg x))) (/ y (+ (* x y) 1)))
(* x (* y (neg x)))
(* y (neg x))
(neg x)
(/ y (+ (* x y) 1))

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

localize103.0ms (1.2%)

Memory

10.6MiB live, 198.3MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 x (.f64 y (neg.f64 x)))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64)))
✓	accuracy	87.7%	(/.f64 y (fma.f64 x y #s(literal 1 binary64)))
✓	accuracy	82.1%	(.f64 (.f64 x (*.f64 y (neg.f64 x))) (/.f64 y (fma.f64 x y #s(literal 1 binary64))))
✓	accuracy	99.8%	(.f64 x (.f64 x y))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64)))
✓	accuracy	95.1%	(.f64 (neg.f64 y) (/.f64 (.f64 x (*.f64 x y)) (fma.f64 x y #s(literal 1 binary64))))
✓	accuracy	74.6%	(/.f64 (.f64 x (.f64 x y)) (fma.f64 x y #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 x (neg.f64 x))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	89.5%	(fma.f64 (*.f64 x (neg.f64 x)) y x)
✓	accuracy	100.0%	(*.f64 y (neg.f64 x))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	99.9%	(fma.f64 (*.f64 y (neg.f64 x)) x x)

Samples

49.0ms

256×

valid

Compiler

Compiled 207 to 26 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 18.0ms (53.4% of total)

ival-div: 7.0ms (20.8% of total)

ival-add: 6.0ms (17.8% of total)

ival-neg: 2.0ms (5.9% of total)

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.3%)

Memory

35.0MiB live, 72.0MiB allocated

Counts

17 → 384

Calls

Call 1

Inputs
#<alt (+ (* (* y (neg x)) x) x)>
#<alt (* y (neg x))>
#<alt (neg x)>
#<alt (+ (* (* x (neg x)) y) x)>
#<alt (* x (neg x))>
#<alt (+ (/ 1 (+ (* x y) 1)) (* (neg y) (/ (* x (* x y)) (+ (* x y) 1))))>
#<alt (* x (+ (/ 1 (+ (* x y) 1)) (* (neg y) (/ (* x (* x y)) (+ (* x y) 1)))))>
#<alt (/ 1 (+ (* x y) 1))>
#<alt (+ (* x y) 1)>
#<alt (+ (/ 1 (+ (* x y) 1)) (* (* x (* y (neg x))) (/ y (+ (* x y) 1))))>
#<alt (* x (+ (/ 1 (+ (* x y) 1)) (* (* x (* y (neg x))) (/ y (+ (* x y) 1)))))>
#<alt (/ (* x (* x y)) (+ (* x y) 1))>
#<alt (* (neg y) (/ (* x (* x y)) (+ (* x y) 1)))>
#<alt (* x (* x y))>
#<alt (* (* x (* y (neg x))) (/ y (+ (* x y) 1)))>
#<alt (/ y (+ (* x y) 1))>
#<alt (* x (* y (neg x)))>

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

Calls

96 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(+ (/ 1 (+ (* x y) 1)) (* (neg y) (/ (* x (* x y)) (+ (* x y) 1))))
2.0ms	x	@	0	(+ (/ 1 (+ (* x y) 1)) (* (neg y) (/ (* x (* x y)) (+ (* x y) 1))))
2.0ms	y	@	0	(/ 1 (+ (* x y) 1))
1.0ms	y	@	inf	(+ (/ 1 (+ (* x y) 1)) (* (neg y) (/ (* x (* x y)) (+ (* x y) 1))))
1.0ms	x	@	inf	(+ (/ 1 (+ (* x y) 1)) (* (neg y) (/ (* x (* x y)) (+ (* x y) 1))))

rewrite465.0ms (5.2%)

Memory

-49.3MiB live, 930.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 590×	`accelerator-lowering-fma.f32`
8 590×	`accelerator-lowering-fma.f64`
4 552×	`-lowering-.f32`
4 552×	`-lowering-.f64`
3 118×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	155
1	152	141
2	1247	111
0	8494	107

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 1 411

Calls

Call 1

Inputs
(+ (* (* y (neg x)) x) x)
(* y (neg x))
(neg x)
(+ (* (* x (neg x)) y) x)
(* x (neg x))
(+ (/ 1 (+ (* x y) 1)) (* (neg y) (/ (* x (* x y)) (+ (* x y) 1))))
(* x (+ (/ 1 (+ (* x y) 1)) (* (neg y) (/ (* x (* x y)) (+ (* x y) 1)))))
(/ 1 (+ (* x y) 1))
(+ (* x y) 1)
(+ (/ 1 (+ (* x y) 1)) (* (* x (* y (neg x))) (/ y (+ (* x y) 1))))
(* x (+ (/ 1 (+ (* x y) 1)) (* (* x (* y (neg x))) (/ y (+ (* x y) 1)))))
(/ (* x (* x y)) (+ (* x y) 1))
(* (neg y) (/ (* x (* x y)) (+ (* x y) 1)))
(* x (* x y))
(* (* x (* y (neg x))) (/ y (+ (* x y) 1)))
(/ y (+ (* x y) 1))
(* x (* y (neg x)))

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

simplify443.0ms (5%)

Memory

15.7MiB live, 660.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 460×	`accelerator-lowering-fma.f32`
10 460×	`accelerator-lowering-fma.f64`
3 718×	`-lowering-.f32`
3 718×	`-lowering-.f64`
2 478×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	290	3198
1	954	2932
2	2513	2790
3	7930	2790
0	8019	2742

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

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

Outputs
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)))
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(-.f64 x (.f64 x (.f64 x y)))
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(-.f64 x (.f64 x (.f64 x y)))
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(-.f64 x (.f64 x (.f64 x y)))
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(-.f64 x (.f64 x (.f64 x y)))
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(-.f64 x (.f64 x (.f64 x y)))
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x
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(-.f64 x (.f64 x (.f64 x y)))
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(-.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))
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(-.f64 x (.f64 x (.f64 x y)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (.f64 x (.f64 x y)))
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(* -1 (* x y))
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(-.f64 x (.f64 x (.f64 x y)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (.f64 x (.f64 x y)))
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1
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(-.f64 #s(literal 1 binary64) (*.f64 x y))
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1
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(-.f64 #s(literal 1 binary64) (*.f64 x y))
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(-.f64 #s(literal 1 binary64) (*.f64 x y))
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(-.f64 #s(literal 1 binary64) (*.f64 x y))
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(* x (+ 1 (* -1 (* x y))))
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(* x (+ 1 (* -1 (* x y))))
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(* -1 (* (pow x 2) y))
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(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (.f64 x (.f64 x y)))
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(-.f64 x (.f64 x (.f64 x y)))
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(-.f64 x (.f64 x (.f64 x y)))
x
(+ x (* -1 (* (pow x 2) y)))
(-.f64 x (.f64 x (.f64 x y)))
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(-.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 x (neg.f64 y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
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(* y (+ (* -1 (pow x 2)) (/ x y)))
(-.f64 x (.f64 x (.f64 x y)))
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1
#s(literal 1 binary64)
(+ 1 (* -1 (* x y)))
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(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 x (fma.f64 x (.f64 y (-.f64 y (.f64 x (*.f64 y y)))) (neg.f64 y)) #s(literal 1 binary64))
(/ 1 (* x y))
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(/ (- (/ 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))) x) y)
(/ (- (+ (/ 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))) x) y) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (pow.f64 y #s(literal 4 binary64)))))))
(/ 1 (* x y))
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(/.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)
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(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) (pow y 3))))) y)
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eval272.0ms (3.1%)

Memory: -4.2MiB live, 584.3MiB allocated
Compiler: Compiled 65 058 to 3 538 computations (94.6% saved)

prune242.0ms (2.7%)

Memory

12.5MiB live, 283.2MiB allocated

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	2 194	6	2 200
Fresh	0	3	3
Picked	2	3	5
Done	0	0	0
Total	2 196	12	2 208

Accuracy

100.0%

Counts

2 208 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	37.5%	(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 0 binary64) (.f64 x x))) y x)
	69.7%	(fma.f64 (/.f64 (.f64 (neg.f64 x) (.f64 y (.f64 y x))) (+.f64 #s(literal 0 binary64) (.f64 y x))) x x)
	75.3%	(fma.f64 (/.f64 y (fma.f64 y x #s(literal 1 binary64))) (neg.f64 (.f64 x (.f64 y (*.f64 x x)))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
	81.1%	(fma.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (/.f64 (.f64 (neg.f64 x) (.f64 y (*.f64 y x))) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
✓	99.9%	(fma.f64 (*.f64 y (neg.f64 x)) x x)
✓	89.5%	(fma.f64 (*.f64 x (neg.f64 x)) y x)
▶	99.8%	(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y x))))
	89.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 y (.f64 x x)))))
▶	68.4%	(.f64 x (/.f64 (neg.f64 (fma.f64 x (.f64 x (*.f64 y y)) #s(literal -1 binary64))) (fma.f64 x y #s(literal 1 binary64))))
▶	64.1%	(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) (.f64 (neg.f64 (.f64 y y)) (/.f64 (.f64 x x) (fma.f64 x y #s(literal 1 binary64))))))
▶	52.8%	(.f64 x (.f64 y (neg.f64 x)))
✓	49.6%	x

Compiler

Compiled 343 to 180 computations (47.5% saved)

simplify249.0ms (2.8%)

Memory

7.9MiB live, 445.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x y #s(literal 1 binary64))
✓	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 y y)) (/.f64 (.f64 x x) (fma.f64 x y #s(literal 1 binary64))))))
✓	cost-diff	1216	(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) (.f64 (neg.f64 (.f64 y y)) (/.f64 (*.f64 x x) (fma.f64 x y #s(literal 1 binary64)))))
✓	cost-diff	0	(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 0 binary64) (.f64 x x))) y x)
✓	cost-diff	64	(-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (*.f64 x x)))
✓	cost-diff	192	(+.f64 #s(literal 0 binary64) (*.f64 x x))
✓	cost-diff	1664	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 0 binary64) (.f64 x x)))
✓	cost-diff	0	(fma.f64 x (.f64 x (.f64 y y)) #s(literal -1 binary64))
✓	cost-diff	0	(neg.f64 (fma.f64 x (.f64 x (.f64 y y)) #s(literal -1 binary64)))
✓	cost-diff	0	(/.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 y y)) #s(literal -1 binary64))) (fma.f64 x y #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 x (/.f64 (neg.f64 (fma.f64 x (.f64 x (*.f64 y y)) #s(literal -1 binary64))) (fma.f64 x y #s(literal 1 binary64))))
✓	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	0	(*.f64 y x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 y x))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y x)))
✓	cost-diff	960	(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y x))))

Rules

6 574×	`accelerator-lowering-fma.f32`
6 574×	`accelerator-lowering-fma.f64`
4 650×	`-lowering-.f32`
4 650×	`-lowering-.f64`
1 624×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	238
1	107	223
2	324	211
3	977	210
4	2879	208
5	4482	208
6	7994	208
0	8036	198

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ x (/ 1 (- 1 (* y x))))
x
(/ 1 (- 1 (* y x)))
1
(- 1 (* y x))
(* y x)
y
(* x (* y (neg x)))
x
(* y (neg x))
y
(neg x)
(* x (/ (neg (+ (* x (* x (* y y))) -1)) (+ (* x y) 1)))
x
(/ (neg (+ (* x (* x (* y y))) -1)) (+ (* x y) 1))
(neg (+ (* x (* x (* y y))) -1))
(+ (* x (* x (* y y))) -1)
(* x (* y y))
(* y y)
y
-1
(+ (* x y) 1)
1
(+ (* (/ (- 0 (* (* x x) (* x x))) (+ 0 (* x x))) y) x)
(/ (- 0 (* (* x x) (* x x))) (+ 0 (* x x)))
(- 0 (* (* x x) (* x x)))
0
(* (* x x) (* x x))
(* x x)
x
(+ 0 (* x x))
y
(* x (+ (/ 1 (+ (* x y) 1)) (* (neg (* y y)) (/ (* x x) (+ (* x y) 1)))))
x
(+ (/ 1 (+ (* x y) 1)) (* (neg (* y y)) (/ (* x x) (+ (* x y) 1))))
(/ 1 (+ (* x y) 1))
1
(+ (* x y) 1)
y
(* (neg (* y y)) (/ (* x x) (+ (* x y) 1)))
(neg (* y y))
(* y y)
(/ (* x x) (+ (* x y) 1))
(* x x)

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

localize144.0ms (1.6%)

Memory

21.5MiB live, 216.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) (.f64 (neg.f64 (.f64 y y)) (/.f64 (.f64 x x) (fma.f64 x y #s(literal 1 binary64))))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64)))
✓	accuracy	80.8%	(/.f64 (*.f64 x x) (fma.f64 x y #s(literal 1 binary64)))
✓	accuracy	66.9%	(.f64 (neg.f64 (.f64 y y)) (/.f64 (*.f64 x x) (fma.f64 x y #s(literal 1 binary64))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(.f64 (.f64 x x) (*.f64 x x))
✓	accuracy	89.5%	(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 0 binary64) (.f64 x x))) y x)
✓	accuracy	26.2%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 0 binary64) (.f64 x x)))
✓	accuracy	99.9%	(.f64 x (/.f64 (neg.f64 (fma.f64 x (.f64 x (*.f64 y y)) #s(literal -1 binary64))) (fma.f64 x y #s(literal 1 binary64))))
✓	accuracy	97.4%	(fma.f64 x (.f64 x (.f64 y y)) #s(literal -1 binary64))
✓	accuracy	84.3%	(.f64 x (.f64 y y))
✓	accuracy	75.1%	(/.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 y y)) #s(literal -1 binary64))) (fma.f64 x y #s(literal 1 binary64)))
✓	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 y x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.f64 y x))
✓	accuracy	99.9%	(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y x))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y x)))

Samples

60.0ms

256×

valid

Compiler

Compiled 252 to 36 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 19.0ms (46.8% of total)

ival-div: 9.0ms (22.2% of total)

ival-add: 6.0ms (14.8% of total)

ival-neg: 3.0ms (7.4% of total)

ival-sub: 2.0ms (4.9% of total)

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

exact: 0.0ms (0% of total)

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

series44.0ms (0.5%)

Memory

-14.7MiB live, 24.6MiB allocated

Counts

24 → 504

Calls

Call 1

Inputs
#<alt (/ x (/ 1 (- 1 (* y x))))>
#<alt (/ 1 (- 1 (* y x)))>
#<alt (- 1 (* y x))>
#<alt (* y x)>
#<alt (* x (* y (neg x)))>
#<alt (* y (neg x))>
#<alt (neg x)>
#<alt (* x (/ (neg (+ (* x (* x (* y y))) -1)) (+ (* x y) 1)))>
#<alt (/ (neg (+ (* x (* x (* y y))) -1)) (+ (* x y) 1))>
#<alt (neg (+ (* x (* x (* y y))) -1))>
#<alt (+ (* x (* x (* y y))) -1)>
#<alt (/ (- 0 (* (* x x) (* x x))) (+ 0 (* x x)))>
#<alt (+ 0 (* x x))>
#<alt (- 0 (* (* x x) (* x x)))>
#<alt (+ (* (/ (- 0 (* (* x x) (* x x))) (+ 0 (* x x))) y) x)>
#<alt (+ (/ 1 (+ (* x y) 1)) (* (neg (* y y)) (/ (* x x) (+ (* x y) 1))))>
#<alt (* x (+ (/ 1 (+ (* x y) 1)) (* (neg (* y y)) (/ (* x x) (+ (* x y) 1)))))>
#<alt (/ 1 (+ (* x y) 1))>
#<alt (+ (* x y) 1)>
#<alt (* x (* y y))>
#<alt (* (* x x) (* x x))>
#<alt (* x x)>
#<alt (* (neg (* y y)) (/ (* x x) (+ (* x y) 1)))>
#<alt (/ (* x x) (+ (* x y) 1))>

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

Calls

126 calls:

Time	Variable		Point	Expression
28.0ms	x	@	inf	(* y (neg x))
1.0ms	x	@	0	(* x (/ (neg (+ (* x (* x (* y y))) -1)) (+ (* x y) 1)))
1.0ms	x	@	inf	(* x (/ (neg (+ (* x (* x (* y y))) -1)) (+ (* x y) 1)))
1.0ms	y	@	inf	(* x (/ (neg (+ (* x (* x (* y y))) -1)) (+ (* x y) 1)))
0.0ms	y	@	0	(* x (/ (neg (+ (* x (* x (* y y))) -1)) (+ (* x y) 1)))

rewrite473.0ms (5.3%)

Memory

26.0MiB live, 936.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 148×	`/-lowering-/.f32`
4 148×	`/-lowering-/.f64`
3 992×	`-lowering-.f32`
3 992×	`-lowering-.f64`
3 730×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	159
1	232	134
2	2067	134
0	8325	129

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 2 108

Calls

Call 1

Inputs
(/ x (/ 1 (- 1 (* y x))))
(/ 1 (- 1 (* y x)))
(- 1 (* y x))
(* y x)
(* x (* y (neg x)))
(* y (neg x))
(neg x)
(* x (/ (neg (+ (* x (* x (* y y))) -1)) (+ (* x y) 1)))
(/ (neg (+ (* x (* x (* y y))) -1)) (+ (* x y) 1))
(neg (+ (* x (* x (* y y))) -1))
(+ (* x (* x (* y y))) -1)
(/ (- 0 (* (* x x) (* x x))) (+ 0 (* x x)))
(+ 0 (* x x))
(- 0 (* (* x x) (* x x)))
(+ (* (/ (- 0 (* (* x x) (* x x))) (+ 0 (* x x))) y) x)
(+ (/ 1 (+ (* x y) 1)) (* (neg (* y y)) (/ (* x x) (+ (* x y) 1))))
(* x (+ (/ 1 (+ (* x y) 1)) (* (neg (* y y)) (/ (* x x) (+ (* x y) 1)))))
(/ 1 (+ (* x y) 1))
(+ (* x y) 1)
(* x (* y y))
(* (* x x) (* x x))
(* x x)
(* (neg (* y y)) (/ (* x x) (+ (* x y) 1)))
(/ (* x x) (+ (* x y) 1))

Outputs
(+.f64 x (.f64 x (.f64 y (neg.f64 x))))
(+.f64 (.f64 x (.f64 y (neg.f64 x))) x)
(+.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (.f64 (/.f64 (.f64 x x) (fma.f64 x y #s(literal 1 binary64))) (.f64 (neg.f64 (.f64 y y)) x)))
(+.f64 (.f64 (/.f64 (.f64 x x) (fma.f64 x y #s(literal 1 binary64))) (.f64 (neg.f64 (.f64 y y)) x)) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 x (*.f64 y (neg.f64 x))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 x y #s(literal -1 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 y y) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 y (neg.f64 x)) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 x (.f64 y (neg.f64 x)) (neg.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -1 binary64)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -1 binary64)))))
(-.f64 (fma.f64 x (.f64 y (neg.f64 x)) x) (/.f64 #s(literal 0 binary64) (fma.f64 x (.f64 y (neg.f64 x)) (neg.f64 x))))
(-.f64 (/.f64 (-.f64 (.f64 (.f64 y y) (.f64 x (.f64 x (.f64 x x)))) #s(literal 0 binary64)) (fma.f64 x (.f64 y (neg.f64 x)) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 x (.f64 y (neg.f64 x)) (neg.f64 x))))
(-.f64 (/.f64 (.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) (/.f64 (-.f64 x (.f64 x (.f64 (neg.f64 x) (.f64 x (.f64 y y))))) (fma.f64 x y #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x y #s(literal 1 binary64))) x) (.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x y #s(literal 1 binary64))) x)) (/.f64 (-.f64 x (.f64 x (.f64 (neg.f64 x) (.f64 x (.f64 y y))))) (fma.f64 x y #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 x (.f64 y (neg.f64 x))))) (/.f64 (.f64 (.f64 y y) (.f64 x (.f64 x (.f64 x x)))) (-.f64 x (.f64 x (.f64 y (neg.f64 x))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 y y) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 y (neg.f64 x)) (neg.f64 x))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 x x) (fma.f64 x (.f64 y (neg.f64 x)) (neg.f64 x))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -1 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -1 binary64)))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 y (neg.f64 x))))
(fma.f64 x (*.f64 y (neg.f64 x)) x)
(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) (.f64 (/.f64 (.f64 x x) (fma.f64 x y #s(literal 1 binary64))) (.f64 (neg.f64 (.f64 y y)) x)))
(fma.f64 x (.f64 (neg.f64 (.f64 y y)) (/.f64 (*.f64 x x) (fma.f64 x y #s(literal 1 binary64)))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))
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(.f64 (pow.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (pow.f64 (.f64 x (neg.f64 x)) #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 x (.f64 x (*.f64 y y))) (fma.f64 x y #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 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 #s(literal 0 binary64) (/.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x x))) (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x y #s(literal 1 binary64))))
(neg.f64 (/.f64 (.f64 x (.f64 x (*.f64 y y))) (fma.f64 x y #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 (neg.f64 x) (.f64 x (*.f64 y y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 (neg.f64 x) (.f64 x (*.f64 y y))))))
(/.f64 (neg.f64 (.f64 y y)) (/.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x x)))
(/.f64 (.f64 (neg.f64 x) (.f64 x (*.f64 y y))) (fma.f64 x y #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (neg.f64 x) (.f64 x (*.f64 y y)))) (fma.f64 y (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (.f64 y y))) (neg.f64 (/.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x x))))
(/.f64 (.f64 (neg.f64 (.f64 y y)) #s(literal 1 binary64)) (/.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (.f64 (neg.f64 (.f64 y y)) (*.f64 x (neg.f64 x))) (fma.f64 y (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 y y))) (/.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (.f64 (.f64 x (neg.f64 x)) (neg.f64 (*.f64 y y))) (fma.f64 y (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (.f64 (neg.f64 x) (.f64 x (*.f64 y y))))) (neg.f64 (fma.f64 y (neg.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (neg.f64 (.f64 y y)) #s(literal 1 binary64))) (neg.f64 (/.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (neg.f64 (.f64 (neg.f64 (.f64 y y)) (*.f64 x (neg.f64 x)))) (neg.f64 (fma.f64 y (neg.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 y y)))) (neg.f64 (/.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (neg.f64 (.f64 (.f64 x (neg.f64 x)) (neg.f64 (*.f64 y y)))) (neg.f64 (fma.f64 y (neg.f64 x) #s(literal -1 binary64))))
(pow.f64 (/.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 (neg.f64 x) (.f64 x (*.f64 y y)))) #s(literal -1 binary64))
(.f64 x (.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (neg.f64 (*.f64 y y))))
(.f64 y (.f64 (neg.f64 y) (/.f64 (*.f64 x x) (fma.f64 x y #s(literal 1 binary64)))))
(.f64 (.f64 y y) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x y #s(literal 1 binary64)))))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x (.f64 x (.f64 y y))) (fma.f64 x y #s(literal 1 binary64))))
(.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) (neg.f64 (.f64 y y))))
(.f64 (neg.f64 (.f64 y y)) (/.f64 (*.f64 x x) (fma.f64 x y #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 x x) (fma.f64 x y #s(literal 1 binary64))) (neg.f64 (*.f64 y y)))
(.f64 (neg.f64 y) (.f64 y (/.f64 (*.f64 x x) (fma.f64 x y #s(literal 1 binary64)))))
(.f64 (.f64 (neg.f64 x) (.f64 x (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))))
(.f64 (.f64 (neg.f64 (*.f64 y y)) x) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))
(.f64 (.f64 (/.f64 (*.f64 x x) (fma.f64 x y #s(literal 1 binary64))) y) (neg.f64 y))
(.f64 (.f64 (/.f64 (.f64 x x) (fma.f64 x y #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 y y))
(.f64 (.f64 (/.f64 (*.f64 x x) (fma.f64 x y #s(literal 1 binary64))) (neg.f64 y)) y)
(.f64 (/.f64 (.f64 (neg.f64 x) (.f64 x (.f64 y y))) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x y) #s(literal 1 binary64))) (fma.f64 x (.f64 x (.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 x y))))
(.f64 (/.f64 (.f64 (neg.f64 x) (.f64 x (.f64 y y))) (fma.f64 (.f64 y y) (.f64 x x) #s(literal -1 binary64))) (fma.f64 x y #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x x))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (neg.f64 (log1p.f64 (*.f64 x y)))))
(exp.f64 (+.f64 (neg.f64 (log1p.f64 (.f64 x y))) (log.f64 (.f64 x x))))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 x y #s(literal 1 binary64))) (/.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 1 binary64))) (/.f64 (*.f64 x x) (fma.f64 y (neg.f64 x) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y (neg.f64 x) #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (fma.f64 y (neg.f64 x) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x (neg.f64 x)))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x (neg.f64 x)))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x (neg.f64 x)))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x (neg.f64 x)))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x (neg.f64 x)))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x (neg.f64 x)))))
(neg.f64 (/.f64 (*.f64 x x) (fma.f64 y (neg.f64 x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1 binary64))))
(/.f64 (*.f64 x x) (fma.f64 x y #s(literal 1 binary64)))
(/.f64 (*.f64 x x) (neg.f64 (fma.f64 y (neg.f64 x) #s(literal -1 binary64))))
(/.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x (neg.f64 x)))))
(/.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x (neg.f64 x))))
(/.f64 (*.f64 x (neg.f64 x)) (fma.f64 y (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (neg.f64 (fma.f64 y (neg.f64 x) #s(literal -1 binary64)))))
(/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x y #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (neg.f64 x))) (neg.f64 (.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (neg.f64 x))) (neg.f64 (.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x y #s(literal 1 binary64)))))
(/.f64 (.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (.f64 x (neg.f64 x)) (fma.f64 x y #s(literal 1 binary64))))
(/.f64 (.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (.f64 (.f64 x (neg.f64 x)) (fma.f64 y (neg.f64 x) #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 y (neg.f64 x) #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 x x) #s(literal -1 binary64)) (fma.f64 y (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64)))) (*.f64 x (neg.f64 x)))
(/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64)))) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (neg.f64 (.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64))) (neg.f64 (.f64 (.f64 x (neg.f64 x)) (fma.f64 x y #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) #s(literal -1 binary64))) (neg.f64 (.f64 (.f64 x (neg.f64 x)) (fma.f64 y (neg.f64 x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1 binary64))) (neg.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 y (neg.f64 x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 x x) #s(literal -1 binary64))) (neg.f64 (fma.f64 y (neg.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (neg.f64 (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))))) (*.f64 x x))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))))) (neg.f64 (.f64 x (.f64 x (*.f64 x x)))))
(pow.f64 (/.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x (/.f64 x (fma.f64 x y #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (fma.f64 x y #s(literal 1 binary64))))
(.f64 (.f64 x 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))) (.f64 x x))
(.f64 (.f64 x (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))))
(*.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) x)
(.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 x y) #s(literal 1 binary64))) (fma.f64 x (.f64 x (.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 x y))))
(.f64 (/.f64 (.f64 x x) (fma.f64 (.f64 y y) (.f64 x x) #s(literal -1 binary64))) (fma.f64 x y #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 y (neg.f64 x) #s(literal -1 binary64)) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(.f64 (pow.f64 (/.f64 (fma.f64 x y #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))))

simplify516.0ms (5.8%)

Memory

-16.9MiB live, 966.5MiB allocated

Algorithm

1×	egg-herbie

Rules

13 620×	`accelerator-lowering-fma.f32`
13 620×	`accelerator-lowering-fma.f64`
4 918×	`-lowering-.f32`
4 918×	`-lowering-.f64`
3 268×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	342	3651
1	1063	3412
2	2859	3349
0	8214	3284

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 504

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

eval721.0ms (8.1%)

Memory: 5.4MiB live, 829.5MiB allocated
Compiler: Compiled 80 210 to 5 667 computations (92.9% saved)

prune279.0ms (3.1%)

Memory

-25.8MiB live, 585.4MiB allocated

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	2 999	8	3 007
Fresh	4	0	4
Picked	4	1	5
Done	1	2	3
Total	3 008	11	3 019

Accuracy

100.0%

Counts

3 019 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 y (neg.f64 x)) x x)
▶	45.7%	(/.f64 y (/.f64 #s(literal -1 binary64) (*.f64 x x)))
▶	50.1%	(/.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 y y)))) x))
	52.8%	(/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x y)))
▶	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64)))))
▶	46.3%	(.f64 (.f64 x (neg.f64 x)) y)
▶	36.7%	(.f64 x (/.f64 (.f64 y (.f64 x (.f64 x (neg.f64 y)))) (fma.f64 x y #s(literal 1 binary64))))
	81.1%	(.f64 x (/.f64 (neg.f64 (fma.f64 x (.f64 (*.f64 x y) y) #s(literal -1 binary64))) (fma.f64 x y #s(literal 1 binary64))))
	24.5%	(.f64 x (/.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 y y)) #s(literal -1 binary64))) (.f64 x y)))
✓	52.8%	(.f64 x (.f64 y (neg.f64 x)))
✓	49.6%	x

Compiler

Compiled 234 to 144 computations (38.5% saved)

simplify323.0ms (3.6%)

Memory

11.9MiB live, 253.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) y)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 y y))))
✓	cost-diff	64	(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 y y)))) x)
✓	cost-diff	320	(/.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 y y)))) x))
✓	cost-diff	0	(.f64 x (.f64 x (neg.f64 y)))
✓	cost-diff	0	(.f64 y (.f64 x (*.f64 x (neg.f64 y))))
✓	cost-diff	0	(/.f64 (.f64 y (.f64 x (*.f64 x (neg.f64 y)))) (fma.f64 x y #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 x (/.f64 (.f64 y (.f64 x (.f64 x (neg.f64 y)))) (fma.f64 x y #s(literal 1 binary64))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (*.f64 x x))
✓	cost-diff	960	(/.f64 y (/.f64 #s(literal -1 binary64) (*.f64 x x)))
✓	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	(fma.f64 x y #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 x (fma.f64 x y #s(literal -1 binary64)))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))
✓	cost-diff	1280	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64)))))

Rules

3 840×	`accelerator-lowering-fma.f32`
3 840×	`accelerator-lowering-fma.f64`
2 352×	`-lowering-.f32`
2 352×	`-lowering-.f64`
1 512×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	183
1	74	182
2	173	182
3	413	179
4	1118	179
5	2299	177
6	4082	177
7	5302	177
8	5742	177
9	5885	177
10	5950	177
11	6813	177
12	7551	177
13	7633	177
14	7779	177
15	7803	177
16	7803	177
17	7803	177
18	7803	177
0	8151	173

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (/ -1 (* x (+ (* x y) -1))))
1
(/ -1 (* x (+ (* x y) -1)))
-1
(* x (+ (* x y) -1))
x
(+ (* x y) -1)
y
(* (* x (neg x)) y)
(* x (neg x))
x
(neg x)
y
(/ y (/ -1 (* x x)))
y
(/ -1 (* x x))
-1
(* x x)
x
(* x (/ (* y (* x (* x (neg y)))) (+ (* x y) 1)))
x
(/ (* y (* x (* x (neg y)))) (+ (* x y) 1))
(* y (* x (* x (neg y))))
y
(* x (* x (neg y)))
(* x (neg y))
(neg y)
(+ (* x y) 1)
1
(/ x (/ (+ (/ -1 y) (/ -1 (* x (* y y)))) x))
x
(/ (+ (/ -1 y) (/ -1 (* x (* y y)))) x)
(+ (/ -1 y) (/ -1 (* x (* y y))))
(/ -1 y)
-1
y
(/ -1 (* x (* y y)))
(* x (* y y))
(* y y)

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

localize95.0ms (1.1%)

Memory

13.6MiB live, 248.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(/.f64 x (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 y y)))) x))
✓	accuracy	99.2%	(/.f64 #s(literal -1 binary64) (.f64 x (.f64 y y)))
✓	accuracy	98.2%	(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 y y)))) x)
✓	accuracy	84.3%	(.f64 x (.f64 y y))
✓	accuracy	99.8%	(.f64 x (.f64 x (neg.f64 y)))
✓	accuracy	99.4%	(.f64 x (/.f64 (.f64 y (.f64 x (.f64 x (neg.f64 y)))) (fma.f64 x y #s(literal 1 binary64))))
✓	accuracy	92.1%	(.f64 y (.f64 x (*.f64 x (neg.f64 y))))
✓	accuracy	75.1%	(/.f64 (.f64 y (.f64 x (*.f64 x (neg.f64 y)))) (fma.f64 x y #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.1%	(/.f64 #s(literal -1 binary64) (*.f64 x x))
✓	accuracy	86.3%	(/.f64 y (/.f64 #s(literal -1 binary64) (*.f64 x x)))
✓	accuracy	100.0%	(*.f64 x (neg.f64 x))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	86.7%	(.f64 (.f64 x (neg.f64 x)) y)
✓	accuracy	100.0%	(fma.f64 x y #s(literal -1 binary64))
✓	accuracy	99.9%	(*.f64 x (fma.f64 x y #s(literal -1 binary64)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64)))))
✓	accuracy	99.2%	(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))

Samples

60.0ms

256×

valid

Compiler

Compiled 181 to 31 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 21.0ms (49.6% of total)

ival-div: 15.0ms (35.4% of total)

ival-add: 3.0ms (7.1% of total)

ival-neg: 2.0ms (4.7% of total)

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

exact: 0.0ms (0% of total)

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

series62.0ms (0.7%)

Memory

-15.6MiB live, 62.4MiB allocated

Counts

20 → 420

Calls

Call 1

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

Calls

105 calls:

Time	Variable		Point	Expression
39.0ms	x	@	inf	(/ 1 (/ -1 (* x (+ (* x y) -1))))
5.0ms	y	@	0	(/ (+ (/ -1 y) (/ -1 (* x (* y y)))) x)
2.0ms	x	@	0	(/ (+ (/ -1 y) (/ -1 (* x (* y y)))) x)
1.0ms	x	@	inf	(/ (+ (/ -1 y) (/ -1 (* x (* y y)))) x)
0.0ms	y	@	inf	(/ (+ (/ -1 y) (/ -1 (* x (* y y)))) x)

rewrite366.0ms (4.1%)

Memory

17.2MiB live, 605.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 538×	`/-lowering-/.f32`
5 538×	`/-lowering-/.f64`
4 330×	`-lowering-.f32`
4 330×	`-lowering-.f64`
3 912×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	154
1	170	146
2	1365	142
0	8200	136

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 739

Calls

Call 1

Inputs
(/ 1 (/ -1 (* x (+ (* x y) -1))))
(/ -1 (* x (+ (* x y) -1)))
(* x (+ (* x y) -1))
(+ (* x y) -1)
(* (* x (neg x)) y)
(* x (neg x))
(neg x)
(/ y (/ -1 (* x x)))
(/ -1 (* x x))
(* x x)
(* x (/ (* y (* x (* x (neg y)))) (+ (* x y) 1)))
(/ (* y (* x (* x (neg y)))) (+ (* x y) 1))
(* y (* x (* x (neg y))))
(* x (* x (neg y)))
(/ x (/ (+ (/ -1 y) (/ -1 (* x (* y y)))) x))
(/ (+ (/ -1 y) (/ -1 (* x (* y y)))) x)
(+ (/ -1 y) (/ -1 (* x (* y y))))
(/ -1 y)
(* x (* y y))
(/ -1 (* x (* y y)))

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

simplify586.0ms (6.6%)

Memory

2.4MiB live, 863.6MiB allocated

Algorithm

1×	egg-herbie

Rules

15 596×	`accelerator-lowering-fma.f32`
15 596×	`accelerator-lowering-fma.f64`
4 892×	`-lowering-.f32`
4 892×	`-lowering-.f64`
3 202×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	312	3562
1	1003	3408
2	2979	3325
0	8242	3262

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

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

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

eval196.0ms (2.2%)

Memory: -30.9MiB live, 280.8MiB allocated
Compiler: Compiled 19 920 to 2 465 computations (87.6% saved)

prune110.0ms (1.2%)

Memory

16.8MiB live, 295.3MiB allocated

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	1 154	5	1 159
Fresh	2	1	3
Picked	1	4	5
Done	0	3	3
Total	1 157	13	1 170

Accuracy

100.0%

Counts

1 170 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 y (neg.f64 x)) x x)
	99.7%	(/.f64 (fma.f64 x y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
✓	45.7%	(/.f64 y (/.f64 #s(literal -1 binary64) (*.f64 x x)))
	39.1%	(/.f64 x (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) y) (*.f64 y y)) x))
	52.8%	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) x))
	52.8%	(/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x y)))
✓	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64)))))
	52.8%	(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) x)
	46.2%	(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) y)
✓	46.3%	(.f64 (.f64 x (neg.f64 x)) y)
✓	36.7%	(.f64 x (/.f64 (.f64 y (.f64 x (.f64 x (neg.f64 y)))) (fma.f64 x y #s(literal 1 binary64))))
✓	52.8%	(.f64 x (.f64 y (neg.f64 x)))
✓	49.6%	x

Compiler

Compiled 471 to 182 computations (61.4% saved)

regimes27.0ms (0.3%)

Memory

-5.9MiB live, 71.2MiB allocated

Counts

28 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	x
9.0ms	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
8.0ms	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)

regimes8.0ms (0.1%)

Memory

-8.9MiB live, 29.7MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
x
(.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:

3.0ms	x
2.0ms	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)

regimes6.0ms (0.1%)

Memory

19.5MiB live, 19.5MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
x
(.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
78.7%	3	`x`
74.8%	3	`y`
86.0%	3	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes4.0ms (0%)

Memory

10.3MiB live, 10.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
49.6%	1	`y`
49.6%	1	`x`
49.6%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.157134000150005e+122	5.88588027813306e+136
0.0ms	-366386644591022.8	-528554144.7152847

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify14.0ms (0.2%)

Memory

-47.0MiB live, 16.0MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`*-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	16	43
1	34	43
2	47	43
3	58	43
4	63	43
5	65	43

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (*.f64 y (neg.f64 x)) 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 -200000000000000 binary64)) (.f64 x (.f64 y (neg.f64 x))) (if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 999999999999999977709969731404129670057984297594921577392083322662491290889839886077866558841507631684757522070951350501376 binary64)) x (.f64 x (.f64 y (neg.f64 x)))))
x

Outputs
(fma.f64 (*.f64 y (neg.f64 x)) x x)
(fma.f64 (neg.f64 (*.f64 y x)) x x)
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 y x)))
(if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -200000000000000 binary64)) (.f64 x (.f64 y (neg.f64 x))) (if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal 999999999999999977709969731404129670057984297594921577392083322662491290889839886077866558841507631684757522070951350501376 binary64)) x (.f64 x (.f64 y (neg.f64 x)))))
(if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y x))) #s(literal -200000000000000 binary64)) (.f64 (neg.f64 x) (.f64 y x)) (if (<=.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y x))) #s(literal 999999999999999977709969731404129670057984297594921577392083322662491290889839886077866558841507631684757522070951350501376 binary64)) x (.f64 (neg.f64 x) (.f64 y x))))
x

soundness448.0ms (5%)

Memory

4.8MiB live, 239.2MiB allocated

Rules

21 824×	`accelerator-lowering-fma.f32`
21 824×	`accelerator-lowering-fma.f64`
4 738×	`accelerator-lowering-fma.f32`
4 738×	`accelerator-lowering-fma.f64`
4 354×	`-lowering-.f32`

Iterations

Useful iterations: 0 (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
0	6	15
1	28	15
2	187	15
3	1499	15
0	9595	13

Stop Event

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

Compiler

Compiled 73 to 30 computations (58.9% saved)

preprocess59.0ms (0.7%)

Memory: 5.2MiB live, 119.5MiB 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
1	15	7
2	32	7
3	62	7
4	144	7
5	191	7
6	240	7
7	320	7
8	387	7
9	404	7
10	404	7
0	404	7

Iter	Nodes	Cost
0	6	18
1	15	18
2	32	18
3	62	18
4	144	18
5	191	18
6	240	18
7	320	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
1	15	7
2	32	7
3	62	7
4	144	7
5	191	7
6	240	7
7	320	7
8	387	7
9	404	7
10	404	7
0	404	7

Iter	Nodes	Cost
0	6	18
1	15	18
2	32	18
3	62	18
4	144	18
5	191	18
6	240	18
7	320	18
8	387	18
9	404	18
10	404	18
0	404	18

analyze0.0ms (0%)

sample534.0ms (6%)

preprocess39.0ms (0.4%)

explain290.0ms (3.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify58.0ms (0.6%)

localize21.0ms (0.2%)

series5.0ms (0.1%)

rewrite829.0ms (9.3%)

simplify257.0ms (2.9%)

eval84.0ms (0.9%)

prune129.0ms (1.5%)

simplify356.0ms (4%)

localize103.0ms (1.2%)

series27.0ms (0.3%)

rewrite465.0ms (5.2%)

simplify443.0ms (5%)

eval272.0ms (3.1%)

prune242.0ms (2.7%)

simplify249.0ms (2.8%)

localize144.0ms (1.6%)

series44.0ms (0.5%)

rewrite473.0ms (5.3%)

simplify516.0ms (5.8%)

eval721.0ms (8.1%)

prune279.0ms (3.1%)

simplify323.0ms (3.6%)

localize95.0ms (1.1%)

series62.0ms (0.7%)

rewrite366.0ms (4.1%)

simplify586.0ms (6.6%)

eval196.0ms (2.2%)

prune110.0ms (1.2%)

regimes27.0ms (0.3%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

simplify14.0ms (0.2%)

soundness448.0ms (5%)

preprocess59.0ms (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
1	15	7
2	32	7
3	62	7
4	144	7
5	191	7
6	240	7
7	320	7
8	387	7
9	404	7
10	404	7
0	404	7

Iter	Nodes	Cost
0	6	18
1	15	18
2	32	18
3	62	18
4	144	18
5	191	18
6	240	18
7	320	18
8	387	18
9	404	18
10	404	18
0	404	18