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

analyze19.0ms (0.3%)

Memory

34.2MiB live, 34.2MiB 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)

sample744.0ms (12.6%)

Memory

6.6MiB live, 1 303.7MiB allocated

Samples

557.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 290.0ms

ival-mult: 133.0ms (45.9% of total)

ival-div: 91.0ms (31.4% of total)

ival-add: 52.0ms (17.9% of total)

ival-true: 6.0ms (2.1% of total)

exact: 5.0ms (1.7% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

preprocess53.0ms (0.9%)

Memory

11.9MiB live, 57.4MiB allocated

Algorithm

2×	egg-herbie

Rules

1 744×	`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	22	60
1	67	54
2	213	54
3	855	54
4	2826	46
5	6357	46
0	7	9
1	14	9
2	28	9
3	42	9
4	43	9
0	43	9

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

Call 2

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

Outputs
(/ (+ x y) (* (* x 2) y))
(/ (/ (+ (/ x y) 1) 2) x)
(/ (+ (neg x) y) (* (* (neg x) 2) y))
(+ (/ 1/2 y) (/ -1/2 x))
(/ (+ x (neg y)) (* (* x 2) (neg y)))
(+ (/ -1/2 y) (/ 1/2 x))
(neg (/ (+ (neg x) y) (* (* (neg x) 2) y)))
(+ (/ -1/2 y) (/ 1/2 x))
(neg (/ (+ x (neg y)) (* (* x 2) (neg y))))
(+ (/ 1/2 y) (/ -1/2 x))
(/ (+ y x) (* (* y 2) x))
(/ (/ (+ (/ x y) 1) 2) x)

Symmetry

(sort x y)

explain163.0ms (2.8%)

Memory

-15.5MiB live, 178.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
50	-	-	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
1	-	-	`(.f64 (.f64 x #s(literal 2 binary64)) y)`
0	-	-	`(*.f64 x #s(literal 2 binary64))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`(+.f64 x y)`
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	28	0
↳	`(*.f64 x #s(literal 2 binary64))`	overflow	1
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	overflow	28
`/.f64`	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`	n/u	22	0
↳	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	underflow	22
`*.f64`	`(.f64 (.f64 x #s(literal 2 binary64)) y)`	*no**	1	0

Confusion

	Predicted +	Predicted -
+	51	0
-	0	205

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	51	0	0
-	0	0	205

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	205
1	51

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

27.0ms

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.0%	(/.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

7.4MiB live, 7.4MiB 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×	`/-lowering-/.f32`
38×	`/-lowering-/.f64`
30×	`associate-/r*`
24×	`-lowering-.f32`
24×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
1	14	23
2	28	23
3	42	23
4	43	23
0	43	23

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize25.0ms (0.4%)

Memory

3.2MiB live, 41.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	99.6%	(.f64 (.f64 x #s(literal 2 binary64)) y)
✓	accuracy	81.4%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Samples

18.0ms

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 (43.3% of total)

ival-div: 2.0ms (28.9% of total)

ival-add: 2.0ms (28.9% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

4 → 84

Calls

Call 1

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

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
1.0ms	x	@	-inf	(* x 2)
1.0ms	y	@	inf	(/ (+ x y) (* (* x 2) y))
1.0ms	x	@	-inf	(/ (+ x y) (* (* x 2) y))
1.0ms	x	@	inf	(/ (+ x y) (* (* x 2) y))
1.0ms	x	@	0	(/ (+ x y) (* (* x 2) y))

rewrite402.0ms (6.8%)

Memory

-30.9MiB live, 509.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 768×	`/-lowering-/.f32`
5 768×	`/-lowering-/.f64`
4 196×	`-lowering-.f32`
4 196×	`-lowering-.f64`
1 822×	`frac-2neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	35	20
2	247	20
3	2911	20
0	8831	20

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 590

Calls

Call 1

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

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

simplify251.0ms (4.3%)

Memory

-13.9MiB live, 267.2MiB allocated

Algorithm

1×	egg-herbie

Rules

4 386×	`-lowering-.f32`
4 386×	`-lowering-.f64`
3 612×	`accelerator-lowering-fma.f32`
3 612×	`accelerator-lowering-fma.f64`
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 → 84

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))

eval193.0ms (3.3%)

Memory: 26.6MiB live, 142.0MiB allocated
Compiler: Compiled 15 400 to 1 661 computations (89.2% saved)

prune217.0ms (3.7%)

Memory

-1.2MiB live, 157.5MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	669	5	674
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	669	6	675

Accuracy

100.0%

Counts

675 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.6%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
▶	87.1%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
✓	81.0%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
▶	44.9%	(/.f64 #s(literal 1/2 binary64) y)
▶	55.6%	(/.f64 #s(literal 1/2 binary64) x)
▶	81.3%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (+.f64 x y))

Compiler

Compiled 93 to 61 computations (34.4% saved)

simplify344.0ms (5.8%)

Memory

-10.6MiB live, 382.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 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	256	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (*.f64 x y))
✓	cost-diff	0	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (+.f64 x y))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
✓	cost-diff	256	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)

Rules

6 964×	`accelerator-lowering-fma.f32`
6 964×	`accelerator-lowering-fma.f64`
6 438×	`/-lowering-/.f32`
6 438×	`/-lowering-/.f64`
3 834×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	77
1	37	77
2	81	77
3	136	71
4	178	71
5	550	71
6	2738	71
7	3881	71
8	3929	71
9	3933	71
10	3933	71
11	5777	71
12	7364	71
13	7589	71
14	7824	71
15	7851	71
16	7851	71
0	9286	69

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize183.0ms (3.1%)

Memory

4.8MiB live, 129.0MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))
✓	accuracy	87.1%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.1%	(/.f64 #s(literal 1/2 binary64) (*.f64 x y))
✓	accuracy	82.2%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (+.f64 x y))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) y)
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	89.6%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)

Samples

137.0ms

256×

valid

Compiler

Compiled 75 to 19 computations (74.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-div: 23.0ms (69.9% of total)

ival-mult: 6.0ms (18.2% of total)

ival-add: 4.0ms (12.2% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.3%)

Memory

0.9MiB live, 38.0MiB allocated

Counts

12 → 264

Calls

Call 1

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

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

66 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(/ (+ (* 1/2 (/ x y)) 1/2) x)
2.0ms	x	@	0	(/ 1/2 (* x y))
1.0ms	y	@	-inf	(/ (+ (* 1/2 (/ y x)) 1/2) y)
1.0ms	y	@	inf	(/ (+ (* 1/2 (/ y x)) 1/2) y)
1.0ms	x	@	inf	(/ 1/2 (* x y))

rewrite395.0ms (6.7%)

Memory

-10.3MiB live, 708.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 540×	`-lowering-.f32`
5 540×	`-lowering-.f64`
5 390×	`accelerator-lowering-fma.f32`
5 390×	`accelerator-lowering-fma.f64`
4 690×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	64
1	110	64
2	857	64
0	8343	60

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 935

Calls

Call 1

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

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

simplify256.0ms (4.3%)

Memory

4.7MiB live, 369.0MiB allocated

Algorithm

1×	egg-herbie

Rules

4 602×	`-lowering-.f32`
4 602×	`-lowering-.f64`
4 216×	`accelerator-lowering-fma.f32`
4 216×	`accelerator-lowering-fma.f64`
1 812×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	1296
1	117	1296
2	244	1296
3	667	1188
4	1935	1188
5	4542	1188
6	6841	1188
7	7428	1188
8	7842	1188
0	8777	1152

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(/ 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 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
(+ 1/2 (* 1/2 (/ y x)))
(+ 1/2 (* 1/2 (/ y x)))
(+ 1/2 (* 1/2 (/ y x)))
(* 1/2 (/ y x))
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* 1/2 (/ y x))
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(* 1/2 (/ y x))
(/ (+ (* 1/2 x) (* 1/2 y)) x)
(/ (+ (* 1/2 x) (* 1/2 y)) x)
(/ (+ (* 1/2 x) (* 1/2 y)) x)
1/2
(+ 1/2 (* 1/2 (/ y x)))
(+ 1/2 (* 1/2 (/ y x)))
(+ 1/2 (* 1/2 (/ y x)))
1/2
(+ 1/2 (* 1/2 (/ y x)))
(+ 1/2 (* 1/2 (/ y x)))
(+ 1/2 (* 1/2 (/ y x)))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ 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 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 1/2 (* x y))
(/ 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)
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)))
(/ 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 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (+.f64 y x))
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (+.f64 y x))
(/ (+ 1/2 (* 1/2 (/ y x))) y)
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (+.f64 y x))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 y x)) (+.f64 y x))
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eval170.0ms (2.9%)

Memory: 38.5MiB live, 379.9MiB allocated
Compiler: Compiled 21 852 to 2 247 computations (89.7% saved)

prune127.0ms (2.2%)

Memory

-39.5MiB live, 299.3MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	1 197	2	1 199
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	1 197	8	1 205

Accuracy

100.0%

Counts

1 205 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.6%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
✓	87.1%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
✓	81.0%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	44.9%	(/.f64 #s(literal 1/2 binary64) y)
✓	55.6%	(/.f64 #s(literal 1/2 binary64) x)
✓	81.3%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (+.f64 x y))
▶	45.9%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) y)
▶	37.2%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) x)

Compiler

Compiled 70 to 46 computations (34.3% saved)

simplify260.0ms (4.4%)

Memory

-5.2MiB live, 227.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (*.f64 x y))
✓	cost-diff	640	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) y)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (*.f64 x y))
✓	cost-diff	640	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) x)

Rules

12 506×	`associate-r`
8 732×	`-lowering-.f32`
8 732×	`-lowering-.f64`
3 062×	`associate-/r*`
1 302×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	36
1	16	36
2	50	28
3	76	28
4	267	28
5	1860	28
6	3235	28
7	3313	28
8	3394	28
9	3394	28
10	4073	28
11	4179	28
12	4364	28
13	4364	28
14	5006	28
15	5204	28
16	5209	28
17	5209	28
18	5275	28
19	5341	28
20	5341	28
21	5341	28
0	13719	28

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize27.0ms (0.5%)

Memory

16.1MiB live, 51.9MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.1%	(/.f64 #s(literal 1/2 binary64) (*.f64 x y))
✓	accuracy	82.2%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) y)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.1%	(/.f64 #s(literal 1/2 binary64) (*.f64 x y))
✓	accuracy	82.3%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) x)

Samples

17.0ms

256×

valid

Compiler

Compiled 38 to 9 computations (76.3% saved)

Precisions

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

ival-mult: 5.0ms (72% of total)

ival-div: 2.0ms (28.8% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

4.0MiB live, 3.9MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite125.0ms (2.1%)

Memory

12.3MiB live, 209.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 346×	`-lowering-.f32`
2 346×	`-lowering-.f64`
1 744×	`/-lowering-/.f32`
1 744×	`/-lowering-/.f64`
442×	`frac-2neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	22
1	25	22
2	146	14
3	724	14
0	3768	14

Stop Event

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

Counts

4 → 467

Calls

Call 1

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

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

simplify44.0ms (0.7%)

Memory

-20.8MiB live, 30.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`/-lowering-/.f32`
10×	`/-lowering-/.f64`
4×	`-lowering-.f32`
4×	`-lowering-.f64`
4×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	336
1	9	336
2	10	336
0	10	336

Stop Event

1×	iter limit
1×	saturated

Counts

96 → 96

Calls

Call 1

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

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

eval112.0ms (1.9%)

Memory: 11.4MiB live, 196.5MiB allocated
Compiler: Compiled 8 356 to 1 218 computations (85.4% saved)

prune159.0ms (2.7%)

Memory

-10.3MiB live, 267.5MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	810	1	811
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	810	9	819

Accuracy

100.0%

Counts

819 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.6%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
✓	87.1%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
✓	81.0%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	44.9%	(/.f64 #s(literal 1/2 binary64) y)
✓	55.6%	(/.f64 #s(literal 1/2 binary64) x)
▶	31.9%	(*.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x))
✓	81.3%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (+.f64 x y))
✓	45.9%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) y)
✓	37.2%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) x)

Compiler

Compiled 79 to 52 computations (34.2% saved)

simplify255.0ms (4.3%)

Memory

-9.2MiB live, 320.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	1024	(*.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x))

Rules

7 110×	`-lowering-.f32`
7 110×	`-lowering-.f64`
2 950×	`cube-prod`
1 944×	`/-lowering-/.f32`
1 944×	`/-lowering-/.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	11	16
2	20	16
3	33	16
4	45	12
5	48	12
6	113	12
7	315	12
8	1566	12
9	2647	12
10	3205	12
11	3502	12
12	3772	12
13	4223	12
14	4885	12
15	5533	12
16	5779	12
17	5902	12
18	5982	12
19	6065	12
20	6559	12
21	7738	12
0	8011	12

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize19.0ms (0.3%)

Memory

11.8MiB live, 51.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) x)
✓	accuracy	76.6%	(*.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x))

Samples

13.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-div: 5.0ms (74.4% of total)

ival-mult: 2.0ms (29.7% 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

2.0MiB live, 2.0MiB allocated

Counts

3 → 60

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite171.0ms (2.9%)

Memory

-7.5MiB live, 188.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 974×	`-lowering-.f32`
1 974×	`-lowering-.f64`
1 530×	`/-lowering-/.f32`
1 530×	`/-lowering-/.f64`
472×	`frac-2neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	29	13
2	189	13
3	1274	9
0	4375	9

Stop Event

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

Counts

3 → 186

Calls

Call 1

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

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

simplify7.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`/-lowering-/.f32`
6×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	180
0	6	180

Stop Event

1×	iter limit
1×	saturated

Counts

60 → 60

Calls

Call 1

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

Outputs
(/ 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 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)
(/ 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)
(/ 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)

eval43.0ms (0.7%)

Memory: 5.1MiB live, 42.5MiB allocated
Compiler: Compiled 2 322 to 426 computations (81.7% saved)

prune44.0ms (0.8%)

Memory

-7.9MiB live, 34.0MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	245	1	246
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	245	10	255

Accuracy

100.0%

Counts

255 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.6%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64)) y)
✓	87.1%	(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)
✓	81.0%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
✓	44.9%	(/.f64 #s(literal 1/2 binary64) y)
✓	55.6%	(/.f64 #s(literal 1/2 binary64) x)
✓	31.9%	(*.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) x))
✓	81.3%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (+.f64 x y))
✓	45.9%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) y)
✓	37.2%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) x)
	26.3%	(.f64 (/.f64 #s(literal -1/2 binary64) (neg.f64 (.f64 y y))) y)

Compiler

Compiled 160 to 86 computations (46.3% saved)

regimes12.0ms (0.2%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

4.0ms	x
4.0ms	y
4.0ms	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Results

Accuracy	Segments	Branch
99.9%	2	`x`
99.9%	2	`y`
99.7%	5	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes7.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

9 → 3

Calls

Call 1

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

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
95.3%	2	`y`
97.3%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes40.0ms (0.7%)

Memory

-18.7MiB live, 18.8MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

33.0ms	y
3.0ms	x
3.0ms	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Results

Accuracy	Segments	Branch
91.6%	5	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
94.1%	3	`y`
92.3%	3	`x`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes7.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
60.2%	2	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
85.6%	2	`x`
86.0%	2	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes4.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB 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	y
1.0ms	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
1.0ms	x

Results

Accuracy	Segments	Branch
55.6%	1	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
55.6%	1	`x`
55.6%	1	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch50.0ms (0.9%)

Memory

-28.1MiB live, 10.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
5.0ms	-1.0086039801976739e+40	-4.233154519614335e+39

Samples

3.0ms

64×

valid

Compiler

Compiled 102 to 68 computations (33.3% saved)

Precisions

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

ival-mult: 1.0ms (56.8% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch60.0ms (1%)

Memory

-3.6MiB live, 35.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
46.0ms	-1.0086039801976739e+40	-4.233154519614335e+39
11.0ms	-1.7571157560303908e+171	-1.769445427425287e+163

Samples

11.0ms

224×

valid

Compiler

Compiled 291 to 204 computations (29.9% saved)

Precisions

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

ival-mult: 3.0ms (50.6% of total)

ival-div: 2.0ms (33.7% of total)

ival-add: 1.0ms (16.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch75.0ms (1.3%)

Memory

-26.9MiB live, 35.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	8.569436391852107e+155	1.9995925546571615e+159
10.0ms	3.8347390852821186e-161	1.0669903647871048e-156

Samples

12.0ms

256×

valid

Compiler

Compiled 302 to 220 computations (27.2% saved)

Precisions

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

ival-mult: 3.0ms (45.7% of total)

ival-div: 2.0ms (30.4% of total)

ival-add: 2.0ms (30.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch13.0ms (0.2%)

Memory

11.1MiB live, 11.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	9.783997934841776e-91	1.9495833080202108e-84

Samples

7.0ms

144×

valid

Compiler

Compiled 122 to 102 computations (16.4% saved)

Precisions

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

ival-mult: 2.0ms (57.2% of total)

ival-div: 1.0ms (28.6% of total)

ival-add: 1.0ms (28.6% of total)

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

exact: 0.0ms (0% of total)

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

simplify8.0ms (0.1%)

Memory

16.7MiB live, 16.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	84
1	42	84

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -4499999999999999955364839849957273894912 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #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 x #s(literal -1749999999999999977547498285840248779526819238339655995744760751265822631998110374084774954575955221722298101837740891382464414058990446150930863942190227100478210048 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 x #s(literal -8999999999999999910729679699914547789824 binary64)) (/.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)))
(if (<=.f64 y #s(literal 1582914569427869/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 y #s(literal 1600000000000000011481970465456269286528983699026564988907404354340010586887813442052265711753219029286185181012748194180161304547671507615243738458833813504 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (+.f64 x y)) (/.f64 #s(literal 1/2 binary64) x)))
(if (<=.f64 y #s(literal 546812681195753/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648 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 x #s(literal -4499999999999999955364839849957273894912 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #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 x #s(literal -1749999999999999977547498285840248779526819238339655995744760751265822631998110374084774954575955221722298101837740891382464414058990446150930863942190227100478210048 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 x #s(literal -8999999999999999910729679699914547789824 binary64)) (/.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)))
(if (<=.f64 x #s(literal -1749999999999999977547498285840248779526819238339655995744760751265822631998110374084774954575955221722298101837740891382464414058990446150930863942190227100478210048 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 x #s(literal -8999999999999999910729679699914547789824 binary64)) (/.f64 (+.f64 x y) (.f64 y (.f64 x #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)) x)))
(if (<=.f64 y #s(literal 1582914569427869/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 y #s(literal 1600000000000000011481970465456269286528983699026564988907404354340010586887813442052265711753219029286185181012748194180161304547671507615243738458833813504 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x y)) (+.f64 x y)) (/.f64 #s(literal 1/2 binary64) x)))
(if (<=.f64 y #s(literal 1582914569427869/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) (/.f64 #s(literal 1/2 binary64) y) (if (<=.f64 y #s(literal 1600000000000000011481970465456269286528983699026564988907404354340010586887813442052265711753219029286185181012748194180161304547671507615243738458833813504 binary64)) (.f64 (+.f64 x y) (/.f64 #s(literal 1/2 binary64) (.f64 x y))) (/.f64 #s(literal 1/2 binary64) x)))
(if (<=.f64 y #s(literal 546812681195753/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648 binary64)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)

soundness699.0ms (11.9%)

Memory

-9.8MiB live, 268.9MiB allocated

Rules

5 768×	`/-lowering-/.f32`
5 768×	`/-lowering-/.f64`
4 386×	`-lowering-.f32`
4 386×	`-lowering-.f64`
4 196×	`-lowering-.f32`

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
0	7	20
1	35	20
2	247	20
3	2911	20
0	8831	20

Stop Event

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

Compiler

Compiled 157 to 86 computations (45.2% saved)

preprocess73.0ms (1.2%)

Memory: -0.6MiB live, 194.6MiB allocated
Compiler: Compiled 256 to 124 computations (51.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze19.0ms (0.3%)

sample744.0ms (12.6%)

preprocess53.0ms (0.9%)

explain163.0ms (2.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize25.0ms (0.4%)

series9.0ms (0.2%)

rewrite402.0ms (6.8%)

simplify251.0ms (4.3%)

eval193.0ms (3.3%)

prune217.0ms (3.7%)

simplify344.0ms (5.8%)

localize183.0ms (3.1%)

series16.0ms (0.3%)

rewrite395.0ms (6.7%)

simplify256.0ms (4.3%)

eval170.0ms (2.9%)

prune127.0ms (2.2%)

simplify260.0ms (4.4%)

localize27.0ms (0.5%)

series2.0ms (0%)

rewrite125.0ms (2.1%)

simplify44.0ms (0.7%)

eval112.0ms (1.9%)

prune159.0ms (2.7%)

simplify255.0ms (4.3%)

localize19.0ms (0.3%)

series1.0ms (0%)

rewrite171.0ms (2.9%)

simplify7.0ms (0.1%)

eval43.0ms (0.7%)

prune44.0ms (0.8%)

regimes12.0ms (0.2%)

regimes7.0ms (0.1%)

regimes40.0ms (0.7%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch50.0ms (0.9%)

bsearch60.0ms (1%)

bsearch75.0ms (1.3%)

bsearch13.0ms (0.2%)

simplify8.0ms (0.1%)

soundness699.0ms (11.9%)

preprocess73.0ms (1.2%)

end0.0ms (0%)

Profiling