Metrics for AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, A

analyze25.0ms (0.9%)

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 8 to 5 computations (37.5% saved)

Precisions

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

ival-div: 2.0ms (43.5% of total)

ival-add: 2.0ms (43.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample921.0ms (33.3%)

Results

704.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 152.0ms

ival-div: 71.0ms (46.7% of total)

ival-add: 71.0ms (46.7% of total)

const: 8.0ms (5.3% of total)

backward-pass: 3.0ms (2% of total)

Bogosity

preprocess43.0ms (1.6%)

Algorithm

2×	egg-herbie

Rules

580×	`fnmadd-define`
570×	`sum3-define`
454×	`fma-define`
352×	`fmsub-define`
332×	`fnmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	37	30
2	76	30
3	184	30
4	524	30
5	995	30
6	1637	30
7	1991	30
8	2054	30
9	2118	30
10	2134	30
0	4	5
1	5	5
0	5	5

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ x (+ x y))

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

Call 2

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

Outputs
(/ x (+ x y))
(/ (neg x) (+ (neg x) y))
(/ x (- x y))
(/ x (+ x (neg y)))
(/ x (- x y))
(neg (/ (neg x) (+ (neg x) y)))
(/ x (- y x))
(neg (/ x (+ x (neg y))))
(/ x (- y x))
(/ y (+ y x))
(/ y (+ x y))

explain49.0ms (1.8%)

FPErrors

Click to see full error table

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

Results

34.0ms

512×

valid

Compiler

Compiled 33 to 14 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 8.0ms (65.4% of total)

ival-add: 3.0ms (24.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 7 to 4 computations (42.9% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

4×	`+-lowering-+.f64`
4×	`+-lowering-+.f32`
2×	`/-lowering-/.f32`
2×	`/-lowering-/.f64`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
1	5	10
0	5	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize27.0ms (1%)

Localize:

Found 2 expressions of interest:

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

Results

17.0ms

256×

valid

Compiler

Compiled 13 to 5 computations (61.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (48.4% of total)

ival-add: 2.0ms (48.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series3.0ms (0.1%)

Counts

2 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite297.0ms (10.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3450×	`/-lowering-/.f32`
3450×	`/-lowering-/.f64`
2470×	`-lowering-.f32`
2470×	`-lowering-.f64`
1994×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
1	26	8
2	205	8
3	2060	8
0	9100	8

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 293

Calls

Call 1

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

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

simplify183.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

2776×	`-lowering-.f32`
2776×	`-lowering-.f64`
1376×	`div-sub`
1266×	`neg-lowering-neg.f64`
1266×	`neg-lowering-neg.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	124	358
1	400	311
2	1083	295
3	4575	293
0	8259	293

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval48.0ms (1.7%)

Compiler: Compiled 9018 to 996 computations (89% saved)

prune39.0ms (1.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	337	4	341
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	337	5	342

Accuracy

100.0%

Counts

342 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.7%	(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))) y)
✓	100.0%	(/.f64 x (+.f64 x y))
▶	48.4%	(/.f64 x y)
▶	52.6%	(-.f64 #s(literal 1 binary64) (/.f64 y x))
▶	52.6%	#s(literal 1 binary64)

Compiler

Compiled 33 to 22 computations (33.3% saved)

simplify126.0ms (4.6%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Rules

1628×	`fnmadd-define`
936×	`sum4-define`
934×	`fmsub-define`
850×	`fnmsub-define`
844×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	18	44
2	42	44
3	83	42
4	217	42
5	511	42
6	1103	42
7	1782	42
8	3056	42
9	3719	42
10	4321	42
11	4450	42
12	4472	42
13	4565	42
14	4584	42
15	4592	42
0	4592	42

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize60.0ms (2.2%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 x y))
✓	accuracy	99.9%	(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y)))
✓	accuracy	95.5%	(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))) y)
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 y x))

Results

40.0ms

256×

valid

Compiler

Compiled 47 to 10 computations (78.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 6.0ms (51% of total)

ival-sub: 4.0ms (34% of total)

ival-mult: 2.0ms (17% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series10.0ms (0.4%)

Counts

6 → 144

Calls

Call 1

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

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

Calls

36 calls:

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

rewrite195.0ms (7%)

Algorithm

1×	batch-egg-rewrite

Rules

2906×	`-lowering-.f32`
2906×	`-lowering-.f64`
2722×	`/-lowering-/.f32`
2722×	`/-lowering-/.f64`
1036×	`frac-add`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	56	32
2	478	32
0	8206	32

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 269

Calls

Call 1

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

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

simplify183.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

2640×	`-lowering-.f32`
2640×	`-lowering-.f64`
1452×	`fnmadd-define`
1448×	`/-lowering-/.f32`
1448×	`/-lowering-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	786
1	135	669
2	332	648
3	853	648
4	2558	648
0	8453	648

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

eval50.0ms (1.8%)

Compiler: Compiled 7500 to 861 computations (88.5% saved)

prune42.0ms (1.5%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	472	0	472
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	472	5	477

Accuracy

100.0%

Counts

477 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	47.7%	(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x y))) y)
✓	100.0%	(/.f64 x (+.f64 x y))
✓	48.4%	(/.f64 x y)
✓	52.6%	(-.f64 #s(literal 1 binary64) (/.f64 y x))
✓	52.6%	#s(literal 1 binary64)

Compiler

Compiled 58 to 33 computations (43.1% saved)

regimes7.0ms (0.3%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes4.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
78.8%	3	`x`
77.0%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
78.4%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
52.6%	1	`y`
52.6%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch21.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	7.14332140864527e+29	9.871866477472131e+33
10.0ms	-2.4186348194344354e+39	-1.395919900318071e+38

Results

12.0ms

240×

valid

Compiler

Compiled 222 to 158 computations (28.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (55.6% of total)

ival-add: 1.0ms (27.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch36.0ms (1.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	7.14332140864527e+29	9.871866477472131e+33
9.0ms	-2.4186348194344354e+39	-1.395919900318071e+38

Results

28.0ms

240×

valid

Compiler

Compiled 162 to 128 computations (21% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (54.5% of total)

ival-add: 2.0ms (54.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`*-commutative_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	36
1	32	36
2	40	36
3	46	36
4	51	36
5	53	36

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (+.f64 x y))
(if (<=.f64 x #s(literal -1060000000000000047917354668252567961600 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x)) (if (<=.f64 x #s(literal 1999999999999999891150461974085632 binary64)) (/.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(if (<=.f64 x #s(literal -329999999999999990682125824257054212096 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 380000000000000031200055482384384 binary64)) (/.f64 x y) #s(literal 1 binary64)))
#s(literal 1 binary64)

Outputs
(/.f64 x (+.f64 x y))
(if (<=.f64 x #s(literal -1060000000000000047917354668252567961600 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x)) (if (<=.f64 x #s(literal 1999999999999999891150461974085632 binary64)) (/.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(if (<=.f64 x #s(literal -329999999999999990682125824257054212096 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 380000000000000031200055482384384 binary64)) (/.f64 x y) #s(literal 1 binary64)))
#s(literal 1 binary64)

soundness352.0ms (12.7%)

Rules

2776×	`-lowering-.f32`
2776×	`-lowering-.f64`
1376×	`div-sub`
1266×	`neg-lowering-neg.f64`
1266×	`neg-lowering-neg.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	124	358
1	400	311
2	1083	295
3	4575	293
0	8259	293

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 65 to 37 computations (43.1% saved)

preprocess28.0ms (1%)

Compiler: Compiled 98 to 48 computations (51% saved)

AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, A

analyze25.0ms (0.9%)

sample921.0ms (33.3%)

preprocess43.0ms (1.6%)

explain49.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize27.0ms (1%)

series3.0ms (0.1%)

rewrite297.0ms (10.7%)

simplify183.0ms (6.6%)

eval48.0ms (1.7%)

prune39.0ms (1.4%)

simplify126.0ms (4.6%)

localize60.0ms (2.2%)

series10.0ms (0.4%)

rewrite195.0ms (7%)

simplify183.0ms (6.6%)

eval50.0ms (1.8%)

prune42.0ms (1.5%)

regimes7.0ms (0.3%)

regimes4.0ms (0.1%)

regimes2.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch21.0ms (0.7%)

bsearch36.0ms (1.3%)

simplify9.0ms (0.3%)

soundness352.0ms (12.7%)

preprocess28.0ms (1%)

end0.0ms (0%)

Profiling