Metrics for Physics.ForceLayout:coulombForce from force-layout-0.4.0.2

analyze14.0ms (0.3%)

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
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	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: 4.0ms

ival-mult: 3.0ms (77.2% of total)

ival-div: 1.0ms (25.7% of total)

const: 0.0ms (0% of total)

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

sample639.0ms (15.3%)

Results

429.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 172.0ms

ival-mult: 98.0ms (57.1% of total)

ival-div: 64.0ms (37.3% of total)

const: 7.0ms (4.1% of total)

backward-pass: 3.0ms (1.7% of total)

Bogosity

preprocess38.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

892×	`times-frac`
198×	`associate-l`
196×	`associate-r`
172×	`associate-/r*`
126×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	32
1	41	32
2	106	32
3	325	32
4	816	32
5	1359	32
6	1502	32
7	1528	32
8	1546	32
9	1562	32
0	4	5
1	6	5
0	6	5

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ x (* y y))

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

Call 2

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

Outputs
(/ x (* y y))
(/ (/ x y) y)
(/ (neg x) (* y y))
(/ x (* y (neg y)))
(/ x (* (neg y) (neg y)))
(/ (/ x y) y)
(neg (/ (neg x) (* y y)))
(/ (/ x y) y)
(neg (/ x (* (neg y) (neg y))))
(/ x (* y (neg y)))
(/ y (* x x))

Symmetry

(abs y)

(negabs x)

explain40.0ms (1%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
45	-	1	(7.544309394467465e-41 1.0150195878501845e-157)	`(/.f64 x (*.f64 y y))`
0	-	0	-	`x`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`y`

Results

26.0ms

512×

valid

Compiler

Compiled 33 to 14 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 5.0ms (56.6% of total)

ival-div: 4.0ms (45.3% 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
▶	99.8%	(/.f64 (/.f64 x y) y)
▶	84.1%	(/.f64 x (*.f64 y y))

Compiler

Compiled 14 to 8 computations (42.9% saved)

localize42.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(/.f64 (/.f64 x y) y)
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(/.f64 x (*.f64 y y))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.8%	(/.f64 (/.f64 x y) y)
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	84.1%	(/.f64 x (*.f64 y y))

Rules

6×	`/-lowering-/.f32`
6×	`/-lowering-/.f64`
2×	`-lowering-.f32`
2×	`-lowering-.f64`
2×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	6	18
0	6	18

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ x (* y y))
x
(* y y)
y
(/ (/ x y) y)
(/ x y)

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

Results

23.0ms

256×

valid

Compiler

Compiled 23 to 7 computations (69.6% saved)

Precisions

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

ival-div: 5.0ms (67.2% of total)

ival-mult: 2.0ms (26.9% of total)

const: 0.0ms (0% of total)

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

series11.0ms (0.3%)

Counts

4 → 84

Calls

Call 1

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

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

Calls

21 calls:

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

rewrite263.0ms (6.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1870×	`-lowering-.f32`
1870×	`-lowering-.f64`
1560×	`accelerator-lowering-fma.f32`
1560×	`accelerator-lowering-fma.f64`
1356×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	27	16
2	140	16
3	680	16
4	3951	16
0	8304	16

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 443

Calls

Call 1

Inputs
(/ x (* y y))
(* y y)
(/ (/ x y) y)
(/ x y)

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

simplify12.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	348
1	7	348
2	8	348
0	8	348

Stop Event

1×	iter limit
1×	saturated

Counts

84 → 84

Calls

Call 1

Inputs
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)

Outputs
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y 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)

eval67.0ms (1.6%)

Compiler: Compiled 5715 to 2051 computations (64.1% saved)

prune50.0ms (1.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	521	6	527
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	521	8	529

Accuracy

100.0%

Counts

529 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.3%	(/.f64 (/.f64 x (/.f64 y (/.f64 x y))) (*.f64 (/.f64 x y) y))
✓	99.8%	(/.f64 (/.f64 x y) y)
▶	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) y)
▶	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓	84.1%	(/.f64 x (*.f64 y y))
▶	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
▶	99.7%	(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
▶	83.5%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)

Compiler

Compiled 134 to 82 computations (38.8% saved)

localize130.0ms (3.1%)

Algorithm

1×	egg-herbie

Localize:

Found 30 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 y x))
✓	cost-diff	128	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) y)
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(/.f64 y (/.f64 x y))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	128	(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 y y))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	128	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) y)
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 y x))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.8%	(/.f64 y (/.f64 x y))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.7%	(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (*.f64 y y))
✓	accuracy	83.8%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))

Rules

40×	`-lowering-.f32`
40×	`-lowering-.f64`
36×	`/-lowering-/.f32`
36×	`/-lowering-/.f64`
20×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	63
1	30	53
2	39	53
3	72	53
4	82	53
0	82	53

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

72.0ms

256×

valid

Compiler

Compiled 89 to 34 computations (61.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-div: 32.0ms (83.2% of total)

ival-mult: 5.0ms (13% of total)

const: 2.0ms (5.2% of total)

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

series17.0ms (0.4%)

Counts

12 → 252

Calls

Call 1

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

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

Calls

63 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/ y x)
0.0ms	x	@	0	(/ y (/ x y))
0.0ms	x	@	0	(/ y x)
0.0ms	y	@	-inf	(/ y x)
0.0ms	y	@	0	(/ y x)

rewrite381.0ms (9.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2316×	`-lowering-.f32`
2316×	`-lowering-.f64`
1678×	`/-lowering-/.f32`
1678×	`/-lowering-/.f64`
1414×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	50
1	78	48
2	393	48
3	1685	48
0	8343	48

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 1609

Calls

Call 1

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

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

simplify34.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	1068
1	14	1068
2	17	1068
3	18	1068
0	18	1068

Stop Event

1×	iter limit
1×	saturated

Counts

252 → 252

Calls

Call 1

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

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

eval478.0ms (11.5%)

Compiler: Compiled 29611 to 13265 computations (55.2% saved)

prune476.0ms (11.4%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	2292	1	2293
Fresh	1	0	1
Picked	0	5	5
Done	0	2	2
Total	2293	8	2301

Accuracy

100.0%

Counts

2301 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.4%	(/.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (*.f64 y (/.f64 x y)))
✓	99.8%	(/.f64 (/.f64 x y) y)
✓	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) y)
✓	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓	84.1%	(/.f64 x (*.f64 y y))
✓	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
✓	99.7%	(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
✓	83.5%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)

Compiler

Compiled 74 to 45 computations (39.2% saved)

localize683.0ms (16.4%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(/.f64 (/.f64 x y) (/.f64 y x))
✓	cost-diff	256	(*.f64 y (/.f64 x y))
✓	cost-diff	512	(/.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (*.f64 y (/.f64 x y)))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.8%	(/.f64 (/.f64 x y) (/.f64 y x))
✓	accuracy	91.1%	(/.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (*.f64 y (/.f64 x y)))
✓	accuracy	81.1%	(*.f64 y (/.f64 x y))

Rules

10700×	`-lowering-.f32`
10700×	`-lowering-.f64`
4948×	`cube-prod`
3940×	`/-lowering-/.f32`
3940×	`/-lowering-/.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	7	29
1	18	29
2	62	29
3	178	23
4	478	21
5	1265	21
6	1555	21
7	2242	21
8	3684	21
9	4280	21
10	4709	21
11	5014	21
12	5366	21
13	5741	21
14	5921	21
15	5966	21
16	5980	21
17	6002	21
18	6022	21
19	6239	21
20	6588	21
21	6992	21
22	7396	21
23	7829	21
0	10056	21

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ (/ x y) (/ y x)) (* y (/ x y)))
(/ (/ x y) (/ y x))
(/ x y)
x
y
(/ y x)
(* y (/ x y))

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

Results

19.0ms

256×

valid

Compiler

Compiled 36 to 8 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-div: 7.0ms (79.9% of total)

ival-mult: 2.0ms (22.8% of total)

const: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(/ (/ x y) (/ y x))
0.0ms	x	@	0	(/ (/ x y) (/ y x))
0.0ms	x	@	inf	(/ (/ x y) (/ y x))
0.0ms	x	@	-inf	(* y (/ x y))
0.0ms	y	@	inf	(/ (/ x y) (/ y x))

rewrite410.0ms (9.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3542×	`/-lowering-/.f32`
3542×	`/-lowering-/.f64`
2912×	`-lowering-.f32`
2912×	`-lowering-.f64`
1902×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	28
1	42	24
2	405	14
3	4050	14
0	8207	14

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 551

Calls

Call 1

Inputs
(* y (/ x y))
(/ (/ (/ x y) (/ y x)) (* y (/ x y)))
(/ (/ x y) (/ y x))
(/ x y)

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

simplify15.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

14×	`-lowering-.f32`
14×	`-lowering-.f64`
12×	`/-lowering-/.f32`
12×	`/-lowering-/.f64`
4×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	384
1	10	384
2	15	384
3	20	384
4	20	384
0	20	384

Stop Event

1×	iter limit
1×	saturated

Counts

96 → 96

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ (pow x 2) (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)

Outputs
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (.f64 x x) (.f64 y y))
(/ (pow x 2) (pow y 2))
(/.f64 (.f64 x x) (.f64 y 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)

eval180.0ms (4.3%)

Compiler: Compiled 14338 to 4863 computations (66.1% saved)

prune124.0ms (3%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	783	0	783
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	783	8	791

Accuracy

100.0%

Counts

791 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.4%	(/.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (*.f64 y (/.f64 x y)))
✓	99.8%	(/.f64 (/.f64 x y) y)
✓	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) y)
✓	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓	84.1%	(/.f64 x (*.f64 y y))
✓	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
✓	99.7%	(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
✓	83.5%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)

Compiler

Compiled 147 to 73 computations (50.3% saved)

regimes12.0ms (0.3%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	y
3.0ms	x
2.0ms	(*.f64 y y)
2.0ms	(/.f64 x (*.f64 y y))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`(/.f64 x (*.f64 y y))`
99.8%	1	`(*.f64 y y)`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 x (*.f64 y y))

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

Calls

4 calls:

0.0ms	(/.f64 x (*.f64 y y))
0.0ms	(*.f64 y y)
0.0ms	x
0.0ms	y

Results

Accuracy	Segments	Branch
84.1%	1	`x`
84.1%	1	`y`
84.1%	1	`(/.f64 x (*.f64 y y))`
84.1%	1	`(*.f64 y y)`

Compiler

Compiled 18 to 11 computations (38.9% saved)

soundness0.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 12 to 6 computations (50% saved)

preprocess38.0ms (0.9%)

Remove

(negabs x)

(abs y)

Compiler

Compiled 136 to 76 computations (44.1% saved)

Physics.ForceLayout:coulombForce from force-layout-0.4.0.2

analyze14.0ms (0.3%)

sample639.0ms (15.3%)

preprocess38.0ms (0.9%)

explain40.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize42.0ms (1%)

series11.0ms (0.3%)

rewrite263.0ms (6.3%)

simplify12.0ms (0.3%)

eval67.0ms (1.6%)

prune50.0ms (1.2%)

localize130.0ms (3.1%)

series17.0ms (0.4%)

rewrite381.0ms (9.1%)

simplify34.0ms (0.8%)

eval478.0ms (11.5%)

prune476.0ms (11.4%)

localize683.0ms (16.4%)

series8.0ms (0.2%)

rewrite410.0ms (9.8%)

simplify15.0ms (0.4%)

eval180.0ms (4.3%)

prune124.0ms (3%)

regimes12.0ms (0.3%)

regimes2.0ms (0%)

soundness0.0ms (0%)

preprocess38.0ms (0.9%)

end0.0ms (0%)

Profiling