Metrics for Linear.Projection:inversePerspective from linear-1.19.1.3, C

analyze23.0ms (0.5%)

Memory

-6.5MiB live, 34.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	5
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	6
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	7
82%	82%	18%	0.1%	0%	0%	0%	8
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	9
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	10
93.8%	93.8%	6.1%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample889.0ms (20.4%)

Memory

48.3MiB live, 948.8MiB allocated

Samples

568.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 416.0ms

ival-add: 184.0ms (44.3% of total)

ival-mult: 163.0ms (39.2% of total)

ival-div: 55.0ms (13.2% of total)

ival-true: 6.0ms (1.4% of total)

exact: 5.0ms (1.2% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

preprocess53.0ms (1.2%)

Memory

-33.7MiB live, 21.7MiB allocated

Algorithm

1×	egg-herbie

Rules

1 808×	`div-sub`
832×	`distribute-rgt-in`
832×	`distribute-lft-in`
620×	`sub-neg`
502×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	51
1	62	45
2	206	45
3	853	45
4	2809	37
5	6431	37
0	7	9
0	11	9
1	18	9
2	32	9
3	46	9
4	48	9
0	48	9

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x y)

explain90.0ms (2.1%)

Memory

-7.4MiB live, 70.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
54	-	2	(1.4874715184667823e-294 1.3094096687001124e-17)	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
0	-	0	-	`(*.f64 x #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`y`
0	-	0	-	`(+.f64 x y)`
0	-	0	-	`(.f64 (.f64 x #s(literal 2 binary64)) y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/o	29	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	29
`/.f64`	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/u	23	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	23

Confusion

	Predicted +	Predicted -
+	52	2
-	0	202

Precision

1.0

Recall

0.9629629629629629

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	52	0	2
-	0	0	202

Precision?

1.0

Recall?

0.9629629629629629

Freqs

test

number	freq
0	204
1	52

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms

512×

valid

Compiler

Compiled 72 to 32 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 6.0ms (45% of total)

ival-div: 3.0ms (22.5% of total)

ival-add: 3.0ms (22.5% 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.5%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify5.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

38×	`lower-/.f32`
36×	`lower-/.f64`
32×	`associate-/r*`
24×	`lower-*.f32`
20×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	11	23
1	18	23
2	32	23
3	46	23
4	48	23
0	48	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize21.0ms (0.5%)

Memory

29.3MiB live, 29.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(.f64 (.f64 x #s(literal 2 binary64)) y)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	80.5%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Samples

13.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

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

ival-mult: 3.0ms (45.8% of total)

ival-div: 2.0ms (30.5% of total)

ival-add: 1.0ms (15.3% of total)

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

exact: 0.0ms (0% of total)

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

series24.0ms (0.5%)

Memory

-24.3MiB live, 13.4MiB allocated

Counts

4 → 84

Calls

Call 1

Inputs
#<alt (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))>
#<alt (+.f64 x y)>
#<alt (.f64 (.f64 x #s(literal 2 binary64)) y)>
#<alt (*.f64 x #s(literal 2 binary64))>

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

Calls

21 calls:

Time	Variable		Point	Expression
14.0ms	y	@	0	(/ (+ x y) (* (* x 2) y))
1.0ms	y	@	inf	(/ (+ x y) (* (* x 2) y))
1.0ms	x	@	-inf	(* x 2)
1.0ms	x	@	inf	(/ (+ x y) (* (* x 2) y))
1.0ms	x	@	-inf	(/ (+ x y) (* (* x 2) y))

rewrite571.0ms (13.1%)

Memory

6.1MiB live, 360.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 768×	`lower-/.f32`
5 766×	`lower-/.f64`
4 196×	`lower-*.f32`
4 192×	`lower-*.f64`
1 826×	`frac-2neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	39	20
2	251	20
3	2914	20
0	8839	20

Stop Event

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

Counts

4 → 590

Calls

Call 1

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

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

simplify276.0ms (6.3%)

Memory

8.3MiB live, 333.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4 386×	`lower-*.f64`
4 386×	`lower-*.f32`
3 612×	`lower-fma.f64`
3 612×	`lower-fma.f32`
1 824×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	372
1	93	372
2	175	372
3	475	372
4	1337	372
5	2530	372
6	4212	372
7	5357	372
8	6256	372
9	6909	372
10	7367	372
11	7968	372
0	8227	366

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 78

Calls

Call 1

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

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

eval78.0ms (1.8%)

Memory: 7.0MiB live, 195.2MiB allocated
Compiler: Compiled 15 358 to 1 658 computations (89.2% saved)

prune105.0ms (2.4%)

Memory

11.4MiB live, 213.6MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	665	3	668
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	665	4	669

Accuracy

100.0%

Counts

669 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.1%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
✓	80.5%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
▶	53.8%	(/.f64 #s(literal 1/2 binary64) y)
▶	48.3%	(/.f64 #s(literal 1/2 binary64) x)

Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify521.0ms (12%)

Memory

-39.1MiB live, 380.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
✓	cost-diff	192	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)

Rules

7 194×	`lower-*.f64`
7 194×	`lower-*.f32`
3 738×	`lower-fma.f32`
3 736×	`lower-fma.f64`
2 864×	`cube-prod`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	8	30
0	14	30
1	18	30
2	23	30
3	29	30
4	35	30
5	44	30
6	53	30
7	84	29
8	129	29
9	241	29
10	673	29
11	1631	29
12	2257	29
13	2897	29
14	3627	29
15	4057	29
16	4552	29
17	5187	29
18	5774	29
19	6009	29
20	6122	29
21	6197	29
22	6271	29
23	6736	29
24	7850	29
0	8019	29

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 x y)
x
y

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

localize39.0ms (0.9%)

Memory

4.2MiB live, 82.6MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	88.1%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) y)
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) x)

Samples

29.0ms

256×

valid

Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 17.0ms (85% of total)

ival-mult: 2.0ms (10% of total)

ival-add: 1.0ms (5% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB allocated

Counts

5 → 96

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1/2 binary64) y)>
#<alt (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)>
#<alt (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))>
#<alt (/.f64 x y)>

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

Calls

24 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/ (+ (* 1/2 (/ x y)) 1/2) x)
0.0ms	x	@	0	(/ (+ (* 1/2 (/ x y)) 1/2) x)
0.0ms	x	@	inf	(/ (+ (* 1/2 (/ x y)) 1/2) x)
0.0ms	y	@	inf	(/ (+ (* 1/2 (/ x y)) 1/2) x)
0.0ms	y	@	-inf	(/ (+ (* 1/2 (/ x y)) 1/2) x)

rewrite379.0ms (8.7%)

Memory

9.9MiB live, 518.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 812×	`lower-/.f32`
4 804×	`lower-/.f64`
4 056×	`lower-fma.f32`
4 054×	`lower-fma.f64`
3 678×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
0	14	23
1	57	23
2	315	23
3	3293	23
0	8934	23

Stop Event

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

Counts

5 → 443

Calls

Call 1

Inputs
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 x y)

Outputs
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) x))
(neg.f64 (/.f64 #s(literal -1/2 binary64) x))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal -1/2 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (log.f64 (*.f64 y #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) y))
(neg.f64 (/.f64 #s(literal -1/2 binary64) y))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(literal -1/2 binary64) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 y #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 y #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64))
(.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/2 binary64) (/.f64 x y))) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) x))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)) (.f64 y y))) x) (/.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) x))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) x))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x y) #s(literal -1/2 binary64)))) x) (/.f64 (/.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) x))
(-.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) x))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 x)) (/.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 x)))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal -1/8 binary64))) (.f64 x (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))) (/.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal -1/8 binary64))) (.f64 x (fma.f64 (/.f64 x y) (-.f64 (*.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal -1/8 binary64))) (.f64 (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))) (neg.f64 x))) (/.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal -1/8 binary64))) (.f64 (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (*.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))) (neg.f64 x))))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal -1/8 binary64))) (.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))))) (/.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal -1/8 binary64))) (.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (*.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))))))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 x x) (.f64 y y))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/16 binary64)))) (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))) (/.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 x x) (.f64 y y))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/16 binary64)))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 x (.f64 x #s(literal 1/4 binary64)))) (.f64 (.f64 y y) (.f64 y y))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/4 binary64))) (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))) (/.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/4 binary64))) (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 x))) (/.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 x))))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 x x) (.f64 y y))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/16 binary64)))) (.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 x))) (/.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 x x) (.f64 y y))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/16 binary64)))) (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 x))))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 x (.f64 x #s(literal 1/4 binary64)))) (.f64 (.f64 y y) (.f64 y y))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/4 binary64))) (.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 x))) (/.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/4 binary64))) (.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 x))))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (.f64 (neg.f64 x) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 x) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 x x) (.f64 y y))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/16 binary64)))) (.f64 (neg.f64 x) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 x x) (.f64 y y))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/16 binary64)))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 x (.f64 x #s(literal 1/4 binary64)))) (.f64 (.f64 y y) (.f64 y y))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/4 binary64))) (.f64 (neg.f64 x) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/4 binary64))) (.f64 (neg.f64 x) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))))) (/.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))) (/.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1/8 binary64)) (neg.f64 (.f64 x (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)))) (/.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/4 binary64)) (neg.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 x (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y))) #s(literal -1/8 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 x x) (.f64 y y))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/16 binary64))))) (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 x x) (.f64 y y))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 x x) (*.f64 y y)) #s(literal 1/16 binary64))))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x y) #s(literal -1/2 binary64))))) (/.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y)) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 x (.f64 x #s(literal 1/4 binary64)))) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/4 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/2 binary64) (/.f64 x y))))
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(/.f64 (neg.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 x x) (.f64 y y))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 x x) (*.f64 y y)) #s(literal 1/16 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 x x) (.f64 y y))) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/4 binary64))))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x y) #s(literal -1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 x x) (.f64 y y))))) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1/8 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (-.f64 (*.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))
(.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (*.f64 y y)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/4 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(.f64 (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal -1/8 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (*.f64 y y)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1/8 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1/8 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (*.f64 y y)) #s(literal -1/4 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (*.f64 y y)) #s(literal -1/4 binary64))) #s(literal -1 binary64)))
(.f64 (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 x x) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (*.f64 y y)) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1/8 binary64)) (fma.f64 (fma.f64 (/.f64 x y) #s(literal -1/4 binary64) #s(literal 1/4 binary64)) (.f64 (fma.f64 (/.f64 x y) #s(literal -1/4 binary64) #s(literal 1/4 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/4 binary64) #s(literal 1/4 binary64))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (fma.f64 (fma.f64 (/.f64 x y) #s(literal -1/4 binary64) #s(literal 1/4 binary64)) (-.f64 (fma.f64 (/.f64 x y) #s(literal -1/4 binary64) #s(literal 1/4 binary64)) (/.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 y y))) (/.f64 (.f64 (.f64 x (.f64 x #s(literal 1/4 binary64))) (.f64 x (.f64 x #s(literal 1/4 binary64)))) (.f64 (.f64 y y) (.f64 y y)))))
(.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1/8 binary64)) (.f64 (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/4 binary64)) (.f64 (/.f64 x y) #s(literal 1/4 binary64))))) (+.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/4 binary64)) (*.f64 (/.f64 x y) #s(literal 1/4 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal -1/8 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (*.f64 y y)) (fma.f64 (/.f64 x y) #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1/8 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (*.f64 y y)) #s(literal -1/4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal 1/512 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (-.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64)) (.f64 y (.f64 y y)))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal -1/64 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y))) #s(literal -1/8 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal -1/8 binary64) #s(literal -1/8 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (*.f64 y y)) #s(literal -1/4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 x x) (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)) (+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/64 binary64))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal -1/64 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 x x) (.f64 y y))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 x x) (*.f64 y y)) #s(literal 1/16 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 x x) (.f64 y y))) #s(literal -1/16 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 y y)) #s(literal 1/4 binary64))))
(exp.f64 (log.f64 (/.f64 x y)))
(exp.f64 (-.f64 (neg.f64 (log.f64 y)) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 x y)))
(-.f64 (/.f64 #s(literal 0 binary64) y) (neg.f64 (/.f64 x y)))
(neg.f64 (neg.f64 (/.f64 x y)))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x y))))
(/.f64 x y)
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) y)
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))) y)
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))

simplify327.0ms (7.5%)

Memory

-18.3MiB live, 506.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 738×	`lower-fma.f64`
8 738×	`lower-fma.f32`
7 378×	`lower-*.f64`
7 378×	`lower-*.f32`
1 890×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	468
1	55	468
2	90	468
3	133	432
4	172	432
5	375	432
6	921	432
7	2234	432
8	3075	432
9	3970	432
10	4877	432
11	5733	432
12	7135	432
0	8249	414

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval70.0ms (1.6%)

Memory: -0.3MiB live, 155.1MiB allocated
Compiler: Compiled 13 026 to 1 169 computations (91% saved)

prune96.0ms (2.2%)

Memory

16.9MiB live, 132.4MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	539	0	539
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	539	4	543

Accuracy

100.0%

Counts

543 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.1%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
✓	80.5%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	53.8%	(/.f64 #s(literal 1/2 binary64) y)
✓	48.3%	(/.f64 #s(literal 1/2 binary64) x)

Compiler

Compiled 56 to 34 computations (39.3% saved)

regimes9.0ms (0.2%)

Memory

-24.6MiB live, 18.9MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)

Calls

3 calls:

2.0ms	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
95.7%	2	`x`
96.9%	2	`y`
99.6%	5	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes6.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Outputs
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
(/.f64 #s(literal 1/2 binary64) x)

Calls

3 calls:

2.0ms	x
2.0ms	y
2.0ms	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Results

Accuracy	Segments	Branch
90.6%	5	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
91.4%	3	`x`
91.5%	3	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes5.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) y)

Outputs
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(literal 1/2 binary64) x)

Calls

3 calls:

2.0ms	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
59.2%	4	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
84.0%	2	`x`
84.9%	2	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes4.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 #s(literal 1/2 binary64) x)

Outputs
(/.f64 #s(literal 1/2 binary64) x)

Calls

3 calls:

1.0ms	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
48.3%	1	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
48.3%	1	`x`
48.3%	1	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch12.0ms (0.3%)

Memory

-15.2MiB live, 24.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.104576493014984e-202	2.155700104537376e-199

Samples

7.0ms

128×

valid

Compiler

Compiled 150 to 108 computations (28% saved)

Precisions

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

ival-div: 1.0ms (30.5% of total)

ival-add: 1.0ms (30.5% of total)

ival-mult: 1.0ms (30.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch21.0ms (0.5%)

Memory

3.7MiB live, 42.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	5.656257462909841e+97	1.742313603075492e+98
13.0ms	3.077236634928791e-169	2.7916858451678534e-164

Samples

12.0ms

224×

valid

Compiler

Compiled 266 to 194 computations (27.1% saved)

Precisions

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

ival-mult: 4.0ms (56% of total)

ival-div: 1.0ms (14% of total)

ival-add: 1.0ms (14% of total)

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

exact: 0.0ms (0% of total)

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

bsearch9.0ms (0.2%)

Memory

14.5MiB live, 14.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	7.89448015763184e-57	8.652011783206077e-56

Samples

4.0ms

96×

valid

Compiler

Compiled 86 to 72 computations (16.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (40.9% of total)

ival-add: 1.0ms (40.9% of total)

ival-mult: 1.0ms (40.9% of total)

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

exact: 0.0ms (0% of total)

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

simplify9.0ms (0.2%)

Memory

-23.4MiB live, 14.1MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	51
1	28	51

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal 4201375747284717/21545516652742137885659094560277007014094191832363720128504958578969526904000843047377578132593002296225722240434905979752527594496752860623371529300590103961416596156942109074193054752294185849943217159109760516096 binary64)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x))
(if (<=.f64 y #s(literal 317697285742451/129672361527531029953512745740348785969138944757576153124864291552832900356653379574990845279596993571506183956603149661949848471106617978371464838566061365220661931356297172615168 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 y #s(literal 169999999999999985947972293212272831281774799234219213835523581657009888330014444035779529864642560 binary64)) (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) x)))
(if (<=.f64 y #s(literal 4693187515817583/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)

Outputs
(if (<=.f64 y #s(literal 4201375747284717/21545516652742137885659094560277007014094191832363720128504958578969526904000843047377578132593002296225722240434905979752527594496752860623371529300590103961416596156942109074193054752294185849943217159109760516096 binary64)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x))
(if (<=.f64 y #s(literal 317697285742451/129672361527531029953512745740348785969138944757576153124864291552832900356653379574990845279596993571506183956603149661949848471106617978371464838566061365220661931356297172615168 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 y #s(literal 169999999999999985947972293212272831281774799234219213835523581657009888330014444035779529864642560 binary64)) (/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/2 binary64) x)))
(if (<=.f64 y #s(literal 317697285742451/129672361527531029953512745740348785969138944757576153124864291552832900356653379574990845279596993571506183956603149661949848471106617978371464838566061365220661931356297172615168 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 y #s(literal 169999999999999985947972293212272831281774799234219213835523581657009888330014444035779529864642560 binary64)) (/.f64 (+.f64 y x) (.f64 y (.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) x)))
(if (<=.f64 y #s(literal 4693187515817583/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)

soundness602.0ms (13.8%)

Memory

-14.1MiB live, 156.5MiB allocated

Rules

4 386×	`lower-*.f64`
4 386×	`lower-*.f32`
3 612×	`lower-fma.f64`
3 612×	`lower-fma.f32`
1 824×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	372
1	93	372
2	175	372
3	475	372
4	1337	372
5	2530	372
6	4212	372
7	5357	372
8	6256	372
9	6909	372
10	7367	372
11	7968	372
0	8227	366

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 93 to 55 computations (40.9% saved)

preprocess100.0ms (2.3%)

Memory: 34.1MiB live, 74.1MiB allocated
Compiler: Compiled 180 to 96 computations (46.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze23.0ms (0.5%)

sample889.0ms (20.4%)

preprocess53.0ms (1.2%)

explain90.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize21.0ms (0.5%)

series24.0ms (0.5%)

rewrite571.0ms (13.1%)

simplify276.0ms (6.3%)

eval78.0ms (1.8%)

prune105.0ms (2.4%)

simplify521.0ms (12%)

localize39.0ms (0.9%)

series6.0ms (0.1%)

rewrite379.0ms (8.7%)

simplify327.0ms (7.5%)

eval70.0ms (1.6%)

prune96.0ms (2.2%)

regimes9.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch12.0ms (0.3%)

bsearch21.0ms (0.5%)

bsearch9.0ms (0.2%)

simplify9.0ms (0.2%)

soundness602.0ms (13.8%)

preprocess100.0ms (2.3%)

end0.0ms (0%)

Profiling