Metrics for Graphics.Rendering.Plot.Render.Plot.Legend:renderLegendOutside from plot-0.2.3.4, A

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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 7 to 6 computations (14.3% saved)

sample540.0ms (17.4%)

Memory

29.7MiB live, 612.4MiB allocated

Samples

371.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-add: 119.0ms (93.3% of total)

ival-true: 6.0ms (4.7% of total)

ival-assert: 3.0ms (2.4% of total)

Bogosity

preprocess23.0ms (0.7%)

Memory

-10.5MiB live, 36.5MiB allocated

Algorithm

2×	egg-herbie

Rules

90×	`distribute-rgt-in`
86×	`sub-neg`
68×	`associate-+l-`
64×	`cancel-sign-sub-inv`
60×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	32
1	41	30
2	101	30
3	261	30
4	471	30
5	564	30
6	580	30
0	4	5
1	7	5
2	10	5
3	12	5
4	13	5
0	13	4

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(+ (+ x y) x)

Outputs
(+ (+ x y) x)
(fma.f64 x #s(literal 2 binary64) y)

Call 2

Inputs
(+ (+ x y) x)
(+ (+ (neg x) y) (neg x))
(+ (+ x (neg y)) x)
(neg (+ (+ (neg x) y) (neg x)))
(neg (+ (+ x (neg y)) x))
(+ (+ y x) y)

Outputs
(+ (+ x y) x)
(+ x (+ x y))
(+ (+ (neg x) y) (neg x))
(+ y (* x -2))
(+ (+ x (neg y)) x)
(+ x (- x y))
(neg (+ (+ (neg x) y) (neg x)))
(+ x (- x y))
(neg (+ (+ x (neg y)) x))
(+ y (* x -2))
(+ (+ y x) y)
(+ x (+ y y))

explain49.0ms (1.6%)

Memory

17.3MiB live, 94.9MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(+.f64 x y)`
-	-	`(+.f64 (+.f64 x y) x)`
-	-	`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

22.0ms

512×

valid

Compiler

Compiled 38 to 20 computations (47.4% saved)

Precisions

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

ival-add: 5.0ms (92.3% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (+.f64 x y) x)

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify4.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(+.f64 (+.f64 x y) x)

Rules

14×	`+-lowering-+.f64`
14×	`+-lowering-+.f32`
4×	`associate-+l+`
4×	`-lowering-.f32`
4×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
1	7	10
2	10	10
3	12	10
4	13	10
0	13	9

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (+ x y) x)
(+ x y)
x
y

Outputs
(+ (+ x y) x)
(fma.f64 x #s(literal 2 binary64) y)
(+ x y)
(+.f64 x y)
x
y

localize14.0ms (0.5%)

Memory

-12.7MiB live, 26.0MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(+.f64 (+.f64 x y) x)

Samples

10.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-add: 2.0ms (75.1% of total)

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

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

series2.0ms (0.1%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (+ (+ x y) x)>
#<alt (+ x y)>

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

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+ (+ x y) x)
0.0ms	x	@	0	(+ (+ x y) x)
0.0ms	y	@	0	(+ (+ x y) x)
0.0ms	y	@	inf	(+ (+ x y) x)
0.0ms	x	@	-inf	(+ (+ x y) x)

rewrite370.0ms (11.9%)

Memory

-5.8MiB live, 584.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 968×	`accelerator-lowering-fma.f32`
5 968×	`accelerator-lowering-fma.f64`
4 498×	`-lowering-.f32`
4 498×	`-lowering-.f64`
2 178×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
1	30	8
2	277	8
3	4610	8
0	8105	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 205

Calls

Call 1

Inputs
(+ (+ x y) x)
(+ x y)

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

simplify303.0ms (9.7%)

Memory

-17.2MiB live, 450.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 404×	`accelerator-lowering-fma.f32`
8 404×	`accelerator-lowering-fma.f64`
2 172×	`-lowering-.f32`
2 172×	`-lowering-.f64`
1 692×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	162
1	102	162
2	231	162
3	691	162
4	1802	162
5	2753	162
6	3810	162
7	4278	162
8	4562	162
9	4657	162
10	6558	162
0	8343	144

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval50.0ms (1.6%)

Memory: 6.4MiB live, 83.7MiB allocated
Compiler: Compiled 6 208 to 608 computations (90.2% saved)

prune31.0ms (1%)

Memory

-6.1MiB live, 74.3MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	249	4	253
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	250	4	254

Accuracy

100.0%

Counts

254 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x #s(literal 2 binary64) y)
▶	60.7%	(+.f64 y x)
▶	48.8%	(+.f64 x x)
▶	53.4%	y

Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify4.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(fma.f64 x #s(literal 2 binary64) y)
✓	cost-diff	(+.f64 y x)
✓	cost-diff	(+.f64 x x)

Rules

14×	`+-lowering-+.f64`
14×	`+-lowering-+.f32`
4×	`-lowering-.f32`
4×	`-lowering-.f64`
4×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	10	18
2	12	18
0	12	17

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
y
(+ x x)
x
(+ y x)
y
x
(+ (* x 2) y)
x
2
y

Outputs
y
(+ x x)
(+.f64 x x)
x
(+ y x)
(+.f64 y x)
y
x
(+ (* x 2) y)
(fma.f64 x #s(literal 2 binary64) y)
x
2
#s(literal 2 binary64)
y

localize23.0ms (0.7%)

Memory

-20.5MiB live, 57.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x #s(literal 2 binary64) y)
✓	accuracy	100.0%	(+.f64 y x)
✓	accuracy	100.0%	(+.f64 x x)

Samples

14.0ms

256×

valid

Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-add: 4.0ms (59.1% of total)

ival-mult: 3.0ms (44.3% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Counts

3 → 60

Calls

Call 1

Inputs
#<alt (+ x x)>
#<alt (+ y x)>
#<alt (+ (* x 2) y)>

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

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+ x x)
0.0ms	x	@	0	(+ x x)
0.0ms	x	@	0	(+ (* x 2) y)
0.0ms	x	@	inf	(+ (* x 2) y)
0.0ms	y	@	0	(+ (* x 2) y)

rewrite59.0ms (1.9%)

Memory

9.9MiB live, 130.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

458×	`accelerator-lowering-fma.f32`
458×	`accelerator-lowering-fma.f64`
160×	`-lowering-.f32`
160×	`-lowering-.f64`
140×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	39	11
0	382	10

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

3 → 79

Calls

Call 1

Inputs
(+ x x)
(+ y x)
(+ (* x 2) y)

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

simplify278.0ms (8.9%)

Memory

17.6MiB live, 490.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 404×	`accelerator-lowering-fma.f32`
8 404×	`accelerator-lowering-fma.f64`
2 172×	`-lowering-.f32`
2 172×	`-lowering-.f64`
1 692×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	198
1	102	198
2	231	198
3	686	198
4	1794	198
5	2754	198
6	3814	198
7	4280	198
8	4570	198
9	4654	198
10	6527	198
0	8311	180

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval20.0ms (0.6%)

Memory: -27.3MiB live, 49.9MiB allocated
Compiler: Compiled 1 080 to 157 computations (85.5% saved)

prune11.0ms (0.3%)

Memory

31.8MiB live, 31.8MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	138	1	139
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	138	5	143

Accuracy

100.0%

Counts

143 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x #s(literal 2 binary64) y)
✓	60.7%	(+.f64 y x)
✓	48.8%	(+.f64 x x)
✓	53.4%	y
▶	10.8%	x

Compiler

Compiled 22 to 14 computations (36.4% saved)

simplify3.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
x

Outputs
x

localize8.0ms (0.3%)

Memory

-23.7MiB live, 15.6MiB allocated

Samples

5.0ms

256×

valid

Compiler

Compiled 3 to 4 computations (-33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

series0.0ms (0%)

Memory

0.0MiB live, 0.0MiB allocated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

rewrite8.0ms (0.2%)

Memory

17.2MiB live, 17.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

simplify3.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
0	0	0

Stop Event

1×	saturated
1×	saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

eval0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune4.0ms (0.1%)

Memory

-29.1MiB live, 10.2MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	4	4
Total	5	5

Accuracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x #s(literal 2 binary64) y)
✓	60.7%	(+.f64 y x)
✓	48.8%	(+.f64 x x)
✓	53.4%	y
✓	10.8%	x

Compiler

Compiled 41 to 22 computations (46.3% saved)

regimes9.0ms (0.3%)

Memory

24.0MiB live, 24.0MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
x
y
(+.f64 x x)
(+.f64 y x)
(+.f64 (+.f64 x y) x)
(fma.f64 x #s(literal 2 binary64) y)

Outputs
(fma.f64 x #s(literal 2 binary64) y)

Calls

3 calls:

3.0ms	(+.f64 (+.f64 x y) x)
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (+.f64 x y) x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes8.0ms (0.3%)

Memory

-18.4MiB live, 20.9MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
x
y
(+.f64 x x)
(+.f64 y x)
(+.f64 (+.f64 x y) x)

Outputs
(+.f64 (+.f64 x y) x)

Calls

3 calls:

3.0ms	(+.f64 (+.f64 x y) x)
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (+.f64 x y) x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes5.0ms (0.2%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
x
y
(+.f64 x x)
(+.f64 y x)

Outputs
(+.f64 x x)
(+.f64 y x)
(+.f64 x x)

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
78.5%	3	`x`
77.9%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

11.5MiB live, 11.6MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
x
y
(+.f64 x x)

Outputs
(+.f64 x x)
y
(+.f64 x x)

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
75.2%	3	`y`
76.9%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.2%)

Memory

-33.0MiB live, 10.6MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
x
y

Outputs
x
y

Calls

2 calls:

3.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
53.4%	1	`y`
55.1%	2	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
10.8%	1	`y`
10.8%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch20.0ms (0.7%)

Memory

13.7MiB live, 52.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	2.121711279293218e+85	2.527704957101334e+93
10.0ms	-3.473650132100129e-50	-7.305505805461267e-60

Samples

9.0ms

304×

valid

Compiler

Compiled 238 to 161 computations (32.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-add: 3.0ms (96.2% of total)

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

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

bsearch21.0ms (0.7%)

Memory

-1.8MiB live, 37.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	2.121711279293218e+85	2.527704957101334e+93
10.0ms	-3.473650132100129e-50	-7.305505805461267e-60

Samples

10.0ms

304×

valid

Compiler

Compiled 200 to 142 computations (29% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-add: 3.0ms (95% of total)

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

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

bsearch9.0ms (0.3%)

Memory

-20.9MiB live, 18.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-2.538027627168832e+187	-3.009083899381047e+184

Samples

5.0ms

128×

valid

Compiler

Compiled 74 to 57 computations (23% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-add: 1.0ms (76.3% of total)

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

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

simplify8.0ms (0.3%)

Memory

18.5MiB live, 18.5MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
4×	`if-if-or-not_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	44
1	31	44

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x #s(literal 2 binary64) y)
(+.f64 (+.f64 x y) x)
(if (<=.f64 x #s(literal -1237419427105547/52656145834278593348959013841835216159447547700274555627155488768 binary64)) (+.f64 x x) (if (<=.f64 x #s(literal 40000000000000000585227809226994921238801719514586202371144431486791854570045928636416 binary64)) (+.f64 y x) (+.f64 x x)))
(if (<=.f64 x #s(literal -7076986000127043/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (+.f64 x x) (if (<=.f64 x #s(literal 260000000000000007116819006434937606020893990737782532588971111305932601183310163560366080 binary64)) y (+.f64 x x)))
(if (<=.f64 x #s(literal -2499999999999999767892414030450303020173203742230197366156861717404480574906000363300468820452845062562423469951453088306726772920176395464809174713410151283561928068585532969623855562752 binary64)) x y)
x

Outputs
(fma.f64 x #s(literal 2 binary64) y)
(+.f64 (+.f64 x y) x)
(+.f64 x (+.f64 x y))
(if (<=.f64 x #s(literal -1237419427105547/52656145834278593348959013841835216159447547700274555627155488768 binary64)) (+.f64 x x) (if (<=.f64 x #s(literal 40000000000000000585227809226994921238801719514586202371144431486791854570045928636416 binary64)) (+.f64 y x) (+.f64 x x)))
(if (<=.f64 x #s(literal -1237419427105547/52656145834278593348959013841835216159447547700274555627155488768 binary64)) (+.f64 x x) (if (<=.f64 x #s(literal 40000000000000000585227809226994921238801719514586202371144431486791854570045928636416 binary64)) (+.f64 x y) (+.f64 x x)))
(if (<=.f64 x #s(literal -7076986000127043/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (+.f64 x x) (if (<=.f64 x #s(literal 260000000000000007116819006434937606020893990737782532588971111305932601183310163560366080 binary64)) y (+.f64 x x)))
(if (<=.f64 x #s(literal -2499999999999999767892414030450303020173203742230197366156861717404480574906000363300468820452845062562423469951453088306726772920176395464809174713410151283561928068585532969623855562752 binary64)) x y)
x

soundness1.1s (36.9%)

Memory

-21.9MiB live, 301.0MiB allocated

Rules

8 404×	`accelerator-lowering-fma.f32`
8 404×	`accelerator-lowering-fma.f64`
8 404×	`accelerator-lowering-fma.f32`
8 404×	`accelerator-lowering-fma.f64`
2 172×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	198
1	102	198
2	231	198
3	686	198
4	1794	198
5	2754	198
6	3814	198
7	4280	198
8	4570	198
9	4654	198
10	6527	198
0	8311	180
0	35	162
1	102	162
2	231	162
3	691	162
4	1802	162
5	2753	162
6	3810	162
7	4278	162
8	4562	162
9	4657	162
10	6558	162
0	8343	144

Stop Event

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

Compiler

Compiled 93 to 49 computations (47.3% saved)

preprocess62.0ms (2%)

Memory: -0.6MiB live, 157.1MiB allocated
Compiler: Compiled 128 to 62 computations (51.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	14	32
1	41	30
2	101	30
3	261	30
4	471	30
5	564	30
6	580	30
0	4	5
1	7	5
2	10	5
3	12	5
4	13	5
0	13	4

Iter	Nodes	Cost
0	14	32
1	41	30
2	101	30
3	261	30
4	471	30
5	564	30
6	580	30
0	4	5
1	7	5
2	10	5
3	12	5
4	13	5
0	13	4

analyze0.0ms (0%)

sample540.0ms (17.4%)

preprocess23.0ms (0.7%)

explain49.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize14.0ms (0.5%)

series2.0ms (0.1%)

rewrite370.0ms (11.9%)

simplify303.0ms (9.7%)

eval50.0ms (1.6%)

prune31.0ms (1%)

simplify4.0ms (0.1%)

localize23.0ms (0.7%)

series1.0ms (0%)

rewrite59.0ms (1.9%)

simplify278.0ms (8.9%)

eval20.0ms (0.6%)

prune11.0ms (0.3%)

simplify3.0ms (0.1%)

localize8.0ms (0.3%)

series0.0ms (0%)

rewrite8.0ms (0.2%)

simplify3.0ms (0.1%)

eval0.0ms (0%)

prune4.0ms (0.1%)

regimes9.0ms (0.3%)

regimes8.0ms (0.3%)

regimes5.0ms (0.2%)

regimes4.0ms (0.1%)

regimes5.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch20.0ms (0.7%)

bsearch21.0ms (0.7%)

bsearch9.0ms (0.3%)

simplify8.0ms (0.3%)

soundness1.1s (36.9%)

preprocess62.0ms (2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	32
1	41	30
2	101	30
3	261	30
4	471	30
5	564	30
6	580	30
0	4	5
1	7	5
2	10	5
3	12	5
4	13	5
0	13	4