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

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample562.0ms (6.5%)

Memory

14.8MiB live, 752.0MiB allocated

Samples

355.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 161.0ms

ival-mult: 107.0ms (66.3% of total)

ival-sub: 41.0ms (25.4% of total)

ival-true: 6.0ms (3.7% of total)

exact: 4.0ms (2.5% of total)

ival-assert: 3.0ms (1.9% of total)

Bogosity

preprocess45.0ms (0.5%)

Memory

18.9MiB live, 55.0MiB allocated

Algorithm

2×	egg-herbie

Rules

280×	`accelerator-lowering-fma.f32`
280×	`accelerator-lowering-fma.f64`
184×	`-lowering-.f32`
184×	`-lowering-.f64`
172×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	44
1	64	44
2	130	42
3	347	42
4	654	42
5	815	42
6	823	42
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)))
(fma.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal 0 binary64))

Call 2

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

Outputs
(* x (- 1 (* x y)))
(- x (* x (* x y)))
(* (neg x) (- 1 (* (neg x) y)))
(* x (- -1 (* x y)))
(* x (- 1 (* x (neg y))))
(+ x (* x (* x y)))
(neg (* (neg x) (- 1 (* (neg x) y))))
(+ x (* x (* x y)))
(neg (* x (- 1 (* x (neg y)))))
(* x (- -1 (* x y)))
(* y (- 1 (* y x)))
(- y (* y (* x y)))

explain101.0ms (1.2%)

Memory

-33.3MiB live, 115.6MiB 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

57.0ms

512×

valid

Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 11.0ms (76.3% of total)

ival-sub: 2.0ms (13.9% 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

1.5MiB live, 1.5MiB 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)

simplify230.0ms (2.6%)

Memory

-20.7MiB live, 17.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 x y)
✓	cost-diff	-64	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))
✓	cost-diff	0	(-.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)))
(fma.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64))) #s(literal 0 binary64))
x
(- 1 (* x y))
(-.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
y

localize18.0ms (0.2%)

Memory

14.9MiB live, 14.9MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

11.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (61.7% of total)

ival-sub: 1.0ms (20.6% 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

3.7MiB live, 3.7MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs
#<alt (- 1 (* x y))>
#<alt (* x (- 1 (* x y)))>
#<alt (* x y)>

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

rewrite909.0ms (10.4%)

Memory

7.6MiB live, 1 029.1MiB 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
(- 1 (* x y))
(* x (- 1 (* x y)))
(* x y)

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

simplify245.0ms (2.8%)

Memory

-9.3MiB live, 464.2MiB 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	2409	332
5	5854	332
0	8078	332

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

eval85.0ms (1%)

Memory: 37.8MiB live, 187.5MiB allocated
Compiler: Compiled 27 840 to 1 629 computations (94.1% saved)

prune190.0ms (2.2%)

Memory

-32.9MiB live, 184.5MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	681	5	686
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	682	5	687

Accuracy

100.0%

Counts

687 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.5%	(fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x x) x)
▶	99.9%	(-.f64 x (.f64 x (.f64 x y)))
▶	68.9%	(.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))))
▶	56.5%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (.f64 x y) #s(literal 1/2 binary64)))))
▶	47.0%	x

Compiler

Compiled 114 to 66 computations (42.1% saved)

simplify419.0ms (4.8%)

Memory

2.8MiB live, 644.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (.f64 x y) #s(literal 1/2 binary64)))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/2 binary64))))
✓	cost-diff	1984	(.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)))
✓	cost-diff	5824	(pow.f64 (*.f64 x y) #s(literal 1/2 binary64))
✓	cost-diff	-64	(.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	(fma.f64 x y #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 x (.f64 x (.f64 y y)) #s(literal -1 binary64))
✓	cost-diff	1856	(/.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	-64	(*.f64 x x)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) y)
✓	cost-diff	0	(fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x x) x)
✓	cost-diff	-64	(*.f64 x y)
✓	cost-diff	-64	(.f64 x (.f64 x y))
✓	cost-diff	0	(-.f64 x (.f64 x (.f64 x y)))

Rules

11 534×	`accelerator-lowering-fma.f32`
11 534×	`accelerator-lowering-fma.f64`
3 726×	`-lowering-.f32`
3 726×	`-lowering-.f64`
1 402×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	129
1	67	126
2	157	118
3	357	118
4	929	118
5	1910	102
6	4061	102
7	5249	102
8	7041	102
0	8309	101

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- x (* x (* x y)))
x
(* x (* x y))
(* x y)
y
x
(+ (* (- 0 y) (* x x)) x)
(- 0 y)
0
y
(* x x)
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
(* x (- 1 (* (pow (* x y) 1/2) (pow (* x y) 1/2))))
x
(- 1 (* (pow (* x y) 1/2) (pow (* x y) 1/2)))
1
(* (pow (* x y) 1/2) (pow (* x y) 1/2))
(pow (* x y) 1/2)
(* x y)
y
1/2

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

localize86.0ms (1%)

Memory

18.3MiB live, 135.5MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (.f64 x y) #s(literal 1/2 binary64)))))
✓	accuracy	99.7%	(.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)))
✓	accuracy	89.2%	(pow.f64 (*.f64 x y) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(.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))))
✓	accuracy	98.1%	(fma.f64 x (.f64 x (.f64 y y)) #s(literal -1 binary64))
✓	accuracy	95.5%	(.f64 x (.f64 y y))
✓	accuracy	86.5%	(/.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 #s(literal 0 binary64) y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	96.5%	(fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x x) x)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(-.f64 x (.f64 x (.f64 x y)))
✓	accuracy	99.9%	(.f64 x (.f64 x y))

Samples

36.0ms	131×	0	valid
20.0ms	125×	0	invalid

Compiler

Compiled 151 to 27 computations (82.1% saved)

Precisions

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

ival-mult: 14.0ms (53.6% of total)

ival-add: 3.0ms (11.5% of total)

ival-sub: 3.0ms (11.5% of total)

ival-div: 2.0ms (7.7% of total)

ival-sqrt: 2.0ms (7.7% of total)

ival-neg: 1.0ms (3.8% of total)

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

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

exact: 0.0ms (0% of total)

series42.0ms (0.5%)

Memory

-0.1MiB live, 39.9MiB allocated

Counts

15 → 336

Calls

Call 1

Inputs
#<alt (- x (* x (* x y)))>
#<alt (* x (* x y))>
#<alt (* x y)>
#<alt (+ (* (- 0 y) (* x x)) x)>
#<alt (- 0 y)>
#<alt (* x x)>
#<alt (/ (neg (+ (* x (* x (* y y))) -1)) (+ (* x y) 1))>
#<alt (+ (* x (* x (* y y))) -1)>
#<alt (+ (* x y) 1)>
#<alt (* x (/ (neg (+ (* x (* x (* y y))) -1)) (+ (* x y) 1)))>
#<alt (pow (* x y) 1/2)>
#<alt (* (pow (* x y) 1/2) (pow (* x y) 1/2))>
#<alt (- 1 (* (pow (* x y) 1/2) (pow (* x y) 1/2)))>
#<alt (* x (- 1 (* (pow (* x y) 1/2) (pow (* x y) 1/2))))>
#<alt (* 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 x) y))>
#<alt (* (pow x 2) (- (/ 1 x) y))>
#<alt (* (pow x 2) (- (/ 1 x) y))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (- (/ 1 x) y))>
#<alt (* (pow x 2) (- (/ 1 x) y))>
#<alt (* (pow x 2) (- (/ 1 x) y))>
#<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 (- (/ x y) (pow x 2)))>
#<alt (* y (- (/ x y) (pow x 2)))>
#<alt (* y (- (/ x y) (pow x 2)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))>
#<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 (* 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 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 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 (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>
#<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 (- (* (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>
#<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>
#<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 (sqrt (* x y))>
#<alt (sqrt (* x y))>
#<alt (sqrt (* x y))>
#<alt (sqrt (* x y))>
#<alt (sqrt (* x y))>
#<alt (sqrt (* x y))>
#<alt (sqrt (* x y))>
#<alt (sqrt (* x y))>
#<alt (* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))>
#<alt (sqrt (* x y))>
#<alt (sqrt (* x y))>
#<alt (sqrt (* x y))>
#<alt (sqrt (* x y))>
#<alt (sqrt (* x y))>
#<alt (sqrt (* x y))>
#<alt (sqrt (* x y))>
#<alt (sqrt (* x y))>
#<alt (* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))>
#<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 (* x (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* x (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* x (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* x (* y (pow (sqrt -1) 2))))>
#<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 (* x (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* x (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* x (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* x (* y (pow (sqrt -1) 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 (* x (* y (pow (sqrt -1) 2)))>
#<alt (* x (+ (* y (pow (sqrt -1) 2)) (/ 1 x)))>
#<alt (* x (+ (* y (pow (sqrt -1) 2)) (/ 1 x)))>
#<alt (* x (+ (* y (pow (sqrt -1) 2)) (/ 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 (* x (* y (pow (sqrt -1) 2)))>
#<alt (* y (+ (* x (pow (sqrt -1) 2)) (/ 1 y)))>
#<alt (* y (+ (* x (pow (sqrt -1) 2)) (/ 1 y)))>
#<alt (* y (+ (* x (pow (sqrt -1) 2)) (/ 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 (* (pow x 2) (* y (pow (sqrt -1) 2)))>
#<alt (* (pow x 2) (+ (* y (pow (sqrt -1) 2)) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* y (pow (sqrt -1) 2)) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* y (pow (sqrt -1) 2)) (/ 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 (* (pow x 2) (* y (pow (sqrt -1) 2)))>
#<alt (* -1 (* y (+ (* -1 (* (pow x 2) (pow (sqrt -1) 2))) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (* (pow x 2) (pow (sqrt -1) 2))) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (* (pow x 2) (pow (sqrt -1) 2))) (* -1 (/ x y)))))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>

Calls

84 calls:

Time	Variable		Point	Expression
20.0ms	y	@	inf	(- 0 y)
3.0ms	x	@	0	(* x (* y y))
1.0ms	y	@	0	(/ (neg (+ (* x (* x (* y y))) -1)) (+ (* x y) 1))
1.0ms	x	@	-inf	(* (pow (* x y) 1/2) (pow (* x y) 1/2))
1.0ms	y	@	-inf	(* (pow (* x y) 1/2) (pow (* x y) 1/2))

rewrite789.0ms (9.1%)

Memory

17.6MiB live, 1 200.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

17 750×	`accelerator-lowering-fma.f32`
17 750×	`accelerator-lowering-fma.f64`
5 082×	`-lowering-.f32`
5 082×	`-lowering-.f64`
2 888×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	99
1	156	75
2	1225	75
0	9344	74

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 1 625

Calls

Call 1

Inputs
(- x (* x (* x y)))
(* x (* x y))
(* x y)
(+ (* (- 0 y) (* x x)) x)
(- 0 y)
(* x x)
(/ (neg (+ (* x (* x (* y y))) -1)) (+ (* x y) 1))
(+ (* x (* x (* y y))) -1)
(+ (* x y) 1)
(* x (/ (neg (+ (* x (* x (* y y))) -1)) (+ (* x y) 1)))
(pow (* x y) 1/2)
(* (pow (* x y) 1/2) (pow (* x y) 1/2))
(- 1 (* (pow (* x y) 1/2) (pow (* x y) 1/2)))
(* x (- 1 (* (pow (* x y) 1/2) (pow (* x y) 1/2))))
(* x (* y y))

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

simplify303.0ms (3.5%)

Memory

14.8MiB live, 443.4MiB allocated

Algorithm

1×	egg-herbie

Rules

5 072×	`accelerator-lowering-fma.f32`
5 072×	`accelerator-lowering-fma.f64`
3 646×	`-lowering-.f32`
3 646×	`-lowering-.f64`
1 736×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	1768
1	263	1660
2	611	1660
3	1788	1660
4	5583	1660
0	8300	1624

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

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

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

eval315.0ms (3.6%)

Memory: 6.6MiB live, 626.8MiB allocated
Compiler: Compiled 55 941 to 4 329 computations (92.3% saved)

prune201.0ms (2.3%)

Memory

-24.7MiB live, 474.7MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	2 289	5	2 294
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	2 292	7	2 299

Accuracy

100.0%

Counts

2 299 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.1%	(fma.f64 (.f64 x (.f64 y (-.f64 #s(literal 0 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) y) x)
▶	92.5%	(fma.f64 (neg.f64 y) (*.f64 x x) x)
▶	99.8%	(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -1 binary64))))
▶	53.6%	(-.f64 x (.f64 (.f64 x (sqrt.f64 x)) (*.f64 y (sqrt.f64 x))))
✓	99.9%	(-.f64 x (.f64 x (.f64 x y)))
▶	77.2%	(neg.f64 (/.f64 (.f64 x (fma.f64 y (fma.f64 x (.f64 x y) #s(literal 0 binary64)) #s(literal -1 binary64))) (fma.f64 x y #s(literal 1 binary64))))
✓	47.0%	x

Compiler

Compiled 146 to 87 computations (40.4% saved)

simplify237.0ms (2.7%)

Memory

6.1MiB live, 408.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x y #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 x (*.f64 x y) #s(literal 0 binary64))
✓	cost-diff	0	(fma.f64 y (fma.f64 x (*.f64 x y) #s(literal 0 binary64)) #s(literal -1 binary64))
✓	cost-diff	1856	(/.f64 (.f64 x (fma.f64 y (fma.f64 x (.f64 x y) #s(literal 0 binary64)) #s(literal -1 binary64))) (fma.f64 x y #s(literal 1 binary64)))
✓	cost-diff	-64	(*.f64 x (sqrt.f64 x))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(-.f64 x (.f64 (.f64 x (sqrt.f64 x)) (*.f64 y (sqrt.f64 x))))
✓	cost-diff	1600	(.f64 (.f64 x (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)))
✓	cost-diff	-64	(.f64 x (.f64 y (-.f64 #s(literal 0 binary64) (*.f64 x y))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (*.f64 x y))
✓	cost-diff	1472	(fma.f64 (.f64 x (.f64 y (-.f64 #s(literal 0 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) y) x)
✓	cost-diff	-64	(*.f64 x x)
✓	cost-diff	-64	(neg.f64 y)
✓	cost-diff	0	(fma.f64 (neg.f64 y) (*.f64 x x) x)
✓	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	832	(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -1 binary64))))

Rules

5 388×	`accelerator-lowering-fma.f32`
5 388×	`accelerator-lowering-fma.f64`
3 260×	`-lowering-.f32`
3 260×	`-lowering-.f64`
2 604×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	175
1	100	175
2	279	167
3	714	153
4	1900	145
5	5826	145
0	8392	140

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize195.0ms (2.2%)

Memory

-8.2MiB live, 148.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 x (*.f64 x y) #s(literal 0 binary64))
✓	accuracy	99.6%	(.f64 x (fma.f64 y (fma.f64 x (.f64 x y) #s(literal 0 binary64)) #s(literal -1 binary64)))
✓	accuracy	96.7%	(fma.f64 y (fma.f64 x (*.f64 x y) #s(literal 0 binary64)) #s(literal -1 binary64))
✓	accuracy	85.6%	(/.f64 (.f64 x (fma.f64 y (fma.f64 x (.f64 x y) #s(literal 0 binary64)) #s(literal -1 binary64))) (fma.f64 x y #s(literal 1 binary64)))
✓	accuracy	100.0%	(-.f64 x (.f64 (.f64 x (sqrt.f64 x)) (*.f64 y (sqrt.f64 x))))
✓	accuracy	99.9%	(*.f64 y (sqrt.f64 x))
✓	accuracy	99.9%	(*.f64 x (sqrt.f64 x))
✓	accuracy	96.2%	(.f64 (.f64 x (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.9%	(.f64 y (-.f64 #s(literal 0 binary64) (.f64 x y)))
✓	accuracy	97.3%	(.f64 x (.f64 y (-.f64 #s(literal 0 binary64) (*.f64 x y))))
✓	accuracy	95.9%	(fma.f64 (.f64 x (.f64 y (-.f64 #s(literal 0 binary64) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) y) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	95.9%	(fma.f64 (neg.f64 y) (*.f64 x x) x)
✓	accuracy	100.0%	(fma.f64 x y #s(literal -1 binary64))
✓	accuracy	99.9%	(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -1 binary64))))
✓	accuracy	99.7%	(/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -1 binary64)))

Samples

44.0ms	111×	0	invalid
31.0ms	145×	0	valid

Compiler

Compiled 185 to 34 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 37.0ms (65% of total)

ival-div: 7.0ms (12.3% of total)

ival-add: 7.0ms (12.3% of total)

ival-sub: 2.0ms (3.5% of total)

ival-sqrt: 2.0ms (3.5% of total)

ival-neg: 2.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

series28.0ms (0.3%)

Memory

-9.4MiB live, 29.5MiB allocated

Counts

22 → 468

Calls

Call 1

Inputs
#<alt (/ x (/ -1 (+ (* x y) -1)))>
#<alt (/ -1 (+ (* x y) -1))>
#<alt (+ (* x y) -1)>
#<alt (+ (* (neg y) (* x x)) x)>
#<alt (neg y)>
#<alt (* x x)>
#<alt (+ (* (* x (* y (- 0 (* x y)))) (/ 1 y)) x)>
#<alt (- 0 (* x y))>
#<alt (/ 1 y)>
#<alt (* x (* y (- 0 (* x y))))>
#<alt (* (* x (sqrt x)) (* y (sqrt x)))>
#<alt (- x (* (* x (sqrt x)) (* y (sqrt x))))>
#<alt (sqrt x)>
#<alt (* x (sqrt x))>
#<alt (/ (* x (+ (* y (+ (* x (* x y)) 0)) -1)) (+ (* x y) 1))>
#<alt (+ (* y (+ (* x (* x y)) 0)) -1)>
#<alt (+ (* x (* x y)) 0)>
#<alt (+ (* x y) 1)>
#<alt (* y (- 0 (* x y)))>
#<alt (* x y)>
#<alt (* y (sqrt x))>
#<alt (* x (+ (* y (+ (* x (* x y)) 0)) -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 (* 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 (* 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 (- (* 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 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 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 (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 x>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* x (+ 1 (* -1 (* x y))))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 y) (/ 1 x)))>
#<alt x>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (+ x (* -1 (* (pow x 2) y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* y (+ (* -1 (pow x 2)) (/ x y)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) 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) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (pow x 2) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (pow x 2) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (pow x 2) (* y (pow (sqrt -1) 2))))>
#<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 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 x) y))>
#<alt (* (pow x 2) (- (/ 1 x) y))>
#<alt (* (pow x 2) (- (/ 1 x) y))>
#<alt (* (pow x 2) (* y (pow (sqrt -1) 2)))>
#<alt (* (pow x 2) (- (/ 1 x) (* -1 (* y (pow (sqrt -1) 2)))))>
#<alt (* (pow x 2) (- (/ 1 x) (* -1 (* y (pow (sqrt -1) 2)))))>
#<alt (* (pow x 2) (- (/ 1 x) (* -1 (* y (pow (sqrt -1) 2)))))>
#<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 (- (/ x y) (pow x 2)))>
#<alt (* y (- (/ x y) (pow x 2)))>
#<alt (* y (- (/ x y) (pow x 2)))>
#<alt (* -1 (* (pow x 2) y))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (sqrt (pow x 3))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<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 (- (* (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>
#<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 (* (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>
#<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 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* x 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 (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* (sqrt x) y)>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 x)>
#<alt (* x (- (* (pow x 2) (pow y 2)) 1))>
#<alt (* x (- (* (pow x 2) (pow y 2)) 1))>
#<alt (* x (- (* (pow x 2) (pow y 2)) 1))>
#<alt (* (pow x 3) (pow y 2))>
#<alt (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (pow y 2))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2)))))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* (pow x 3) (pow y 2)))>
#<alt (+ (* -1 x) (* (pow x 3) (pow y 2)))>
#<alt (+ (* -1 x) (* (pow x 3) (pow y 2)))>
#<alt (* (pow x 3) (pow y 2))>
#<alt (* (pow y 2) (+ (* -1 (/ x (pow y 2))) (pow x 3)))>
#<alt (* (pow y 2) (+ (* -1 (/ x (pow y 2))) (pow x 3)))>
#<alt (* (pow y 2) (+ (* -1 (/ x (pow y 2))) (pow x 3)))>
#<alt (* (pow x 3) (pow y 2))>
#<alt (* (pow y 2) (+ (* -1 (/ x (pow y 2))) (pow x 3)))>
#<alt (* (pow y 2) (+ (* -1 (/ x (pow y 2))) (pow x 3)))>
#<alt (* (pow y 2) (+ (* -1 (/ x (pow y 2))) (pow x 3)))>

Calls

117 calls:

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

rewrite451.0ms (5.2%)

Memory

59.7MiB live, 912.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 378×	`accelerator-lowering-fma.f32`
7 378×	`accelerator-lowering-fma.f64`
4 362×	`-lowering-.f32`
4 362×	`-lowering-.f64`
4 206×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	150
1	208	123
2	1785	117
0	8828	113

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1 035

Calls

Call 1

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

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

simplify412.0ms (4.7%)

Memory

-1.2MiB live, 669.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 334×	`accelerator-lowering-fma.f32`
8 334×	`accelerator-lowering-fma.f64`
4 314×	`-lowering-.f32`
4 314×	`-lowering-.f64`
2 146×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	188	2836
1	532	2714
2	1359	2702
3	4538	2702
0	8200	2618

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

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

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

eval301.0ms (3.5%)

Memory: -44.0MiB live, 380.1MiB allocated
Compiler: Compiled 38 889 to 2 954 computations (92.4% saved)

prune122.0ms (1.4%)

Memory

-6.6MiB live, 321.9MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	1 574	4	1 578
Fresh	0	0	0
Picked	3	2	5
Done	0	2	2
Total	1 577	8	1 585

Accuracy

100.0%

Counts

1 585 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.0%	(fma.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64)))) (/.f64 x y) x)
▶	56.6%	(fma.f64 (.f64 x (.f64 y (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)) x)
✓	92.5%	(fma.f64 (neg.f64 y) (*.f64 x x) x)
✓	99.8%	(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -1 binary64))))
▶	55.5%	(/.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)))))
✓	99.9%	(-.f64 x (.f64 x (.f64 x y)))
✓	47.0%	x

Compiler

Compiled 80 to 47 computations (41.3% saved)

simplify176.0ms (2%)

Memory

35.7MiB live, 388.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(fma.f64 x y #s(literal 0 binary64))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64)))
✓	cost-diff	1088	(fma.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64)))) (/.f64 x y) x)
✓	cost-diff	-64	(*.f64 y (sqrt.f64 x))
✓	cost-diff	-64	(.f64 x (.f64 y (sqrt.f64 x)))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	1664	(fma.f64 (.f64 x (.f64 y (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)) x)
✓	cost-diff	-64	(*.f64 x y)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (*.f64 x y))
✓	cost-diff	832	(/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x y)))
✓	cost-diff	-64	(*.f64 x (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) (*.f64 x (fma.f64 x y #s(literal -1 binary64))))
✓	cost-diff	1216	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x y #s(literal -1 binary64)))))

Rules

3 708×	`accelerator-lowering-fma.f32`
3 708×	`accelerator-lowering-fma.f64`
2 616×	`-lowering-.f32`
2 616×	`-lowering-.f64`
2 030×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	106
1	68	103
2	204	100
3	585	99
4	1364	99
5	2768	99
6	5674	99
0	8124	96

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

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

localize82.0ms (0.9%)

Memory

-31.8MiB live, 211.1MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64)))
✓	accuracy	99.9%	(*.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64))))
✓	accuracy	91.5%	(fma.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64)))) (/.f64 x y) x)
✓	accuracy	100.0%	(neg.f64 (sqrt.f64 x))
✓	accuracy	99.9%	(fma.f64 (.f64 x (.f64 y (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)) x)
✓	accuracy	99.9%	(.f64 x (.f64 y (sqrt.f64 x)))
✓	accuracy	99.9%	(*.f64 y (sqrt.f64 x))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.9%	(/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x y)))
✓	accuracy	99.7%	(/.f64 #s(literal -1 binary64) (*.f64 x y))
✓	accuracy	100.0%	(fma.f64 x y #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 x (fma.f64 x y #s(literal -1 binary64)))
✓	accuracy	99.9%	(/.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

24.0ms	145×	0	valid
21.0ms	111×	0	invalid

Compiler

Compiled 117 to 26 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 10.0ms (35.8% of total)

ival-div: 8.0ms (28.6% of total)

ival-add: 5.0ms (17.9% of total)

ival-sqrt: 2.0ms (7.2% of total)

ival-sub: 1.0ms (3.6% of total)

exact: 1.0ms (3.6% of total)

ival-neg: 1.0ms (3.6% of total)

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

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

series16.0ms (0.2%)

Memory

34.8MiB live, 34.8MiB allocated

Counts

17 → 384

Calls

Call 1

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

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

96 calls:

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

rewrite504.0ms (5.8%)

Memory

26.6MiB live, 1 017.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 362×	`accelerator-lowering-fma.f32`
8 362×	`accelerator-lowering-fma.f64`
4 022×	`-lowering-.f32`
4 022×	`-lowering-.f64`
3 216×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	97
1	161	94
2	1306	89
0	8990	86

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 1 565

Calls

Call 1

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

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

simplify436.0ms (5%)

Memory

-17.7MiB live, 649.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 432×	`accelerator-lowering-fma.f32`
7 432×	`accelerator-lowering-fma.f64`
4 400×	`-lowering-.f32`
4 400×	`-lowering-.f64`
2 726×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	156	2190
1	428	2128
2	1087	2116
3	4392	2116
0	8796	2069

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

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

eval294.0ms (3.4%)

Memory: 20.6MiB live, 562.0MiB allocated
Compiler: Compiled 44 904 to 4 390 computations (90.2% saved)

prune521.0ms (6%)

Memory

-44.6MiB live, 563.1MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	1 967	4	1 971
Fresh	0	0	0
Picked	3	1	4
Done	1	3	4
Total	1 971	8	1 979

Accuracy

100.0%

Counts

1 979 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.6%	(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y y) #s(literal 0 binary64))) (/.f64 x y) x)
	86.0%	(fma.f64 (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y x))) (/.f64 x y) x)
✓	92.5%	(fma.f64 (neg.f64 y) (*.f64 x x) x)
	99.8%	(/.f64 (fma.f64 x y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
	55.5%	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) x))
✓	55.5%	(/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x y)))
✓	99.9%	(-.f64 x (.f64 x (.f64 x y)))
✓	47.0%	x

Compiler

Compiled 272 to 116 computations (57.4% saved)

regimes18.0ms (0.2%)

Memory

1.8MiB live, 41.3MiB allocated

Counts

19 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

-26.8MiB live, 13.8MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
2.0ms	y
1.0ms	(.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)

regimes4.0ms (0%)

Memory

12.3MiB live, 12.3MiB 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
47.0%	1	`x`
47.0%	1	`y`
47.0%	1	`(.f64 x (-.f64 #s(literal 1 binary64) (.f64 x y)))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify8.0ms (0.1%)

Memory

19.1MiB live, 19.1MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
12×	`+-commutative_binary64`
12×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	23	15
2	41	15
3	49	15
4	54	15
5	55	15

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness302.0ms (3.5%)

Memory

-26.4MiB live, 210.4MiB 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	2409	332
5	5854	332
0	8078	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 29 to 15 computations (48.3% saved)

preprocess48.0ms (0.6%)

Memory: 13.6MiB live, 52.6MiB allocated
Compiler: Compiled 52 to 28 computations (46.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	19	44
1	64	44
2	130	42
3	347	42
4	654	42
5	815	42
6	823	42
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	19	44
1	64	44
2	130	42
3	347	42
4	654	42
5	815	42
6	823	42
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%)

sample562.0ms (6.5%)

preprocess45.0ms (0.5%)

explain101.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify230.0ms (2.6%)

localize18.0ms (0.2%)

series5.0ms (0.1%)

rewrite909.0ms (10.4%)

simplify245.0ms (2.8%)

eval85.0ms (1%)

prune190.0ms (2.2%)

simplify419.0ms (4.8%)

localize86.0ms (1%)

series42.0ms (0.5%)

rewrite789.0ms (9.1%)

simplify303.0ms (3.5%)

eval315.0ms (3.6%)

prune201.0ms (2.3%)

simplify237.0ms (2.7%)

localize195.0ms (2.2%)

series28.0ms (0.3%)

rewrite451.0ms (5.2%)

simplify412.0ms (4.7%)

eval301.0ms (3.5%)

prune122.0ms (1.4%)

simplify176.0ms (2%)

localize82.0ms (0.9%)

series16.0ms (0.2%)

rewrite504.0ms (5.8%)

simplify436.0ms (5%)

eval294.0ms (3.4%)

prune521.0ms (6%)

regimes18.0ms (0.2%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

simplify8.0ms (0.1%)

soundness302.0ms (3.5%)

preprocess48.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	19	44
1	64	44
2	130	42
3	347	42
4	654	42
5	815	42
6	823	42
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