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

analyze9.0ms (0.2%)

Memory

6.9MiB live, 6.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
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 7 to 6 computations (14.3% saved)

sample805.0ms (17.1%)

Memory

-2.8MiB live, 587.7MiB allocated

Samples

505.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 220.0ms

ival-div: 116.0ms (52.8% of total)

ival-mult: 94.0ms (42.8% of total)

ival-true: 6.0ms (2.7% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

preprocess53.0ms (1.1%)

Memory

-8.8MiB live, 30.0MiB allocated

Algorithm

1×	egg-herbie

Rules

892×	`times-frac`
198×	`associate-r`
198×	`associate-l`
174×	`associate-/r*`
122×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	39	27
2	105	27
3	327	27
4	825	27
5	1359	27
6	1504	27
7	1530	27
8	1548	27
9	1564	27
0	4	5
0	6	5
1	8	5
0	8	5

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

(negabs x)

explain104.0ms (2.2%)

Memory

-35.8MiB live, 72.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
42	-	3	(2.132867019927254e-207 1.8066859764077447e-155)	`(/.f64 x (*.f64 y y))`
0	-	0	-	`y`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 x (*.f64 y y))`	n/o	25	0
↳	`(*.f64 y y)`	overflow	74
`/.f64`	`(/.f64 x (*.f64 y y))`	n/u	14	0
↳	`(*.f64 y y)`	underflow	57

Confusion

	Predicted +	Predicted -
+	39	3
-	0	214

Precision

1.0

Recall

0.9285714285714286

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	39	0	3
-	0	0	214

Precision?

1.0

Recall?

0.9285714285714286

Freqs

test

number	freq
0	217
1	39

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

43.0ms

512×

valid

Compiler

Compiled 38 to 20 computations (47.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 4.0ms (53.2% of total)

ival-div: 3.0ms (39.9% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.5%	(/.f64 x (*.f64 y y))

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify4.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

6×	`lower-/.f32`
4×	`lower-/.f64`
2×	`lift-/.f64`
2×	`lift-*.f64`
2×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	8	10
0	8	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize14.0ms (0.3%)

Memory

20.3MiB live, 20.3MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	85.5%	(/.f64 x (*.f64 y y))

Samples

9.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

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

ival-div: 2.0ms (53.6% of total)

ival-mult: 2.0ms (53.6% of total)

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

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

series24.0ms (0.5%)

Memory

-30.5MiB live, 7.0MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs
#<alt (/.f64 x (*.f64 y y))>
#<alt (*.f64 y 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)>

Calls

9 calls:

Time	Variable		Point	Expression
20.0ms	y	@	0	(* y y)
1.0ms	y	@	0	(/ x (* y y))
1.0ms	x	@	inf	(/ x (* y y))
1.0ms	x	@	0	(/ x (* y y))
1.0ms	y	@	inf	(* y y)

rewrite146.0ms (3.1%)

Memory

-0.9MiB live, 120.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

940×	`lower-*.f32`
938×	`lower-*.f64`
784×	`lower-/.f32`
782×	`lower-/.f64`
194×	`unpow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	18	8
2	77	8
3	360	8
0	2132	8

Stop Event

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

Counts

2 → 147

Calls

Call 1

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

simplify5.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`lower-/.f32`
6×	`lower-/.f64`
2×	`lower-*.f64`
2×	`lower-pow.f64`
2×	`unpow2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	156
1	6	156
2	8	156
0	8	156

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

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)

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)

eval16.0ms (0.3%)

Memory: 18.3MiB live, 18.3MiB allocated
Compiler: Compiled 1 835 to 346 computations (81.1% saved)

prune98.0ms (2.1%)

Memory

2.7MiB live, 39.5MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	174	9	183
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	174	10	184

Accuracy

100.0%

Counts

184 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
▶	99.8%	(/.f64 (/.f64 x y) y)
▶	84.4%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
▶	62.2%	(/.f64 (neg.f64 (.f64 x x)) (.f64 (*.f64 y (neg.f64 y)) x))
	85.4%	(/.f64 x (.f64 (.f64 y (sqrt.f64 y)) (sqrt.f64 y)))
✓	85.5%	(/.f64 x (*.f64 y y))
	99.5%	(*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
	99.7%	(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
▶	84.5%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)

Compiler

Compiled 193 to 118 computations (38.9% saved)

simplify569.0ms (12.1%)

Memory

-19.0MiB live, 140.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 y)
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	384	(/.f64 (/.f64 x y) (sqrt.f64 y))
✓	cost-diff	1984	(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 y y))
✓	cost-diff	1408	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(.f64 (.f64 y (neg.f64 y)) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(neg.f64 (*.f64 x x))
✓	cost-diff	896	(/.f64 (neg.f64 (.f64 x x)) (.f64 (*.f64 y (neg.f64 y)) x))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 y y))
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	384	(/.f64 (/.f64 x y) y)

Rules

3 402×	`lower-*.f32`
3 392×	`lower-*.f64`
2 514×	`lower-fma.f64`
2 514×	`lower-fma.f32`
1 616×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	105
0	35	89
1	68	89
2	181	89
3	886	89
4	3159	89
5	5420	89
6	6967	89
7	7346	89
8	7780	89
0	8055	89

Stop Event

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

Calls

Call 1

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

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

localize231.0ms (4.9%)

Memory

1.2MiB live, 117.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(sqrt.f64 y)
✓	accuracy	99.7%	(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
✓	accuracy	99.7%	(/.f64 (/.f64 x y) (sqrt.f64 y))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 y y))
✓	accuracy	85.2%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(neg.f64 (*.f64 x x))
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	88.4%	(.f64 (.f64 y (neg.f64 y)) x)
✓	accuracy	63.3%	(/.f64 (neg.f64 (.f64 x x)) (.f64 (*.f64 y (neg.f64 y)) x))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 y y))
✓	accuracy	85.2%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.8%	(/.f64 (/.f64 x y) y)

Samples

48.0ms

256×

valid

Compiler

Compiled 107 to 21 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-div: 23.0ms (66% of total)

ival-mult: 7.0ms (20.1% of total)

ival-sqrt: 2.0ms (5.7% of total)

ival-neg: 2.0ms (5.7% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.3%)

Memory

20.5MiB live, 20.5MiB allocated

Counts

15 → 276

Calls

Call 1

Inputs
#<alt (/.f64 (/.f64 x y) y)>
#<alt (/.f64 x y)>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y y))>
#<alt (*.f64 y y)>
#<alt (/.f64 (neg.f64 (.f64 x x)) (.f64 (*.f64 y (neg.f64 y)) x))>
#<alt (neg.f64 (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt (.f64 (.f64 y (neg.f64 y)) x)>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))>
#<alt (/.f64 (/.f64 x y) (sqrt.f64 y))>
#<alt (sqrt.f64 y)>
#<alt (neg.f64 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 (/ 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 (/ 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 (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* 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 (pow y 2))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 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 (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))>
#<alt (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))>
#<alt (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))>
#<alt (* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (sqrt y)>
#<alt (sqrt y)>
#<alt (sqrt y)>
#<alt (sqrt y)>
#<alt (sqrt y)>
#<alt (sqrt y)>
#<alt (sqrt y)>
#<alt (sqrt y)>
#<alt (* -1 (* (sqrt y) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt y) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt y) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt y) (pow (sqrt -1) 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)>

Calls

69 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/ (/ x y) (sqrt y))
1.0ms	y	@	-inf	(/ (/ (/ x y) (sqrt y)) (sqrt y))
1.0ms	y	@	inf	(/ x y)
1.0ms	y	@	-inf	(/ (/ x y) (sqrt y))
1.0ms	y	@	0	(/ (/ x y) (sqrt y))

rewrite269.0ms (5.7%)

Memory

10.3MiB live, 325.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 378×	`lower-*.f32`
2 368×	`lower-*.f64`
1 900×	`lower-/.f32`
1 884×	`lower-/.f64`
1 652×	`frac-times`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	78
0	35	62
1	119	59
2	668	59
0	5423	59

Stop Event

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

Counts

15 → 1 502

Calls

Call 1

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

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

simplify254.0ms (5.4%)

Memory

16.4MiB live, 408.7MiB allocated

Algorithm

1×	egg-herbie

Rules

3 248×	`lower-*.f64`
3 248×	`lower-*.f32`
2 960×	`lower-fma.f64`
2 960×	`lower-fma.f32`
1 448×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	1272
1	55	1272
2	147	1272
3	358	1272
4	1060	1272
5	2698	1272
6	3804	1272
7	4335	1272
8	4485	1272
9	4548	1272
10	4560	1272
11	4896	1272
12	5713	1272
13	6359	1272
14	6842	1272
15	6928	1272
16	6988	1272
17	7043	1272
18	7117	1272
19	7440	1272
0	8144	1272

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

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))
(/ 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))
(/ 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))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* 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 (pow y 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 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))
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(sqrt y)
(sqrt y)
(sqrt y)
(sqrt y)
(sqrt y)
(sqrt y)
(sqrt y)
(sqrt y)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (pow (sqrt -1) 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)

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))
(/ 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))
(/ 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))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1 (* x (pow y 2)))
(.f64 x (.f64 y (neg.f64 y)))
(* -1 (* x (pow y 2)))
(.f64 x (.f64 y (neg.f64 y)))
(* -1 (* x (pow y 2)))
(.f64 x (.f64 y (neg.f64 y)))
(* -1 (* x (pow y 2)))
(.f64 x (.f64 y (neg.f64 y)))
(* -1 (* x (pow y 2)))
(.f64 x (.f64 y (neg.f64 y)))
(* -1 (* x (pow y 2)))
(.f64 x (.f64 y (neg.f64 y)))
(* -1 (* x (pow y 2)))
(.f64 x (.f64 y (neg.f64 y)))
(* -1 (* x (pow y 2)))
(.f64 x (.f64 y (neg.f64 y)))
(* -1 (* x (pow y 2)))
(.f64 x (.f64 y (neg.f64 y)))
(* -1 (* x (pow y 2)))
(.f64 x (.f64 y (neg.f64 y)))
(* -1 (* x (pow y 2)))
(.f64 x (.f64 y (neg.f64 y)))
(* -1 (* x (pow y 2)))
(.f64 x (.f64 y (neg.f64 y)))
(* -1 (* x (pow y 2)))
(.f64 x (.f64 y (neg.f64 y)))
(* -1 (* x (pow y 2)))
(.f64 x (.f64 y (neg.f64 y)))
(* -1 (* x (pow y 2)))
(.f64 x (.f64 y (neg.f64 y)))
(* -1 (* x (pow y 2)))
(.f64 x (.f64 y (neg.f64 y)))
(* -1 (* x (pow y 2)))
(.f64 x (.f64 y (neg.f64 y)))
(* -1 (* x (pow y 2)))
(.f64 x (.f64 y (neg.f64 y)))
(* -1 (* x (pow y 2)))
(.f64 x (.f64 y (neg.f64 y)))
(* -1 (* x (pow y 2)))
(.f64 x (.f64 y (neg.f64 y)))
(* -1 (* x (pow y 2)))
(.f64 x (.f64 y (neg.f64 y)))
(* -1 (* x (pow y 2)))
(.f64 x (.f64 y (neg.f64 y)))
(* -1 (* x (pow y 2)))
(.f64 x (.f64 y (neg.f64 y)))
(* -1 (* x (pow y 2)))
(.f64 x (.f64 y (neg.f64 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))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) 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))
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(/.f64 x (*.f64 y y))
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(/.f64 x (*.f64 y y))
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(/.f64 x (*.f64 y y))
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(/.f64 x (*.f64 y y))
(* x (sqrt (/ 1 (pow y 3))))
(.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))
(* x (sqrt (/ 1 (pow y 3))))
(.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))))
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(sqrt y)
(sqrt.f64 y)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)

eval209.0ms (4.4%)

Memory: -17.4MiB live, 492.2MiB allocated
Compiler: Compiled 24 935 to 1 788 computations (92.8% saved)

prune107.0ms (2.3%)

Memory

-23.3MiB live, 272.3MiB allocated

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	1 976	6	1 982
Fresh	2	2	4
Picked	2	3	5
Done	0	1	1
Total	1 980	12	1 992

Accuracy

100.0%

Counts

1 992 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
✓	99.8%	(/.f64 (/.f64 x y) y)
	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
▶	99.7%	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
▶	62.2%	(/.f64 (.f64 x x) (.f64 x (*.f64 y y)))
✓	85.5%	(/.f64 x (*.f64 y y))
	99.3%	(/.f64 #s(literal -1 binary64) (*.f64 y (/.f64 y (neg.f64 x))))
▶	85.2%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)
▶	70.9%	(.f64 (/.f64 (neg.f64 x) (.f64 y (*.f64 x (neg.f64 y)))) x)
	99.7%	(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
▶	99.5%	(.f64 (/.f64 x y) (.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) x)))
✓	84.5%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)

Compiler

Compiled 200 to 124 computations (38% saved)

simplify206.0ms (4.4%)

Memory

12.9MiB live, 328.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	704	(.f64 (/.f64 x y) (.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	1024	(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(.f64 y (.f64 x (neg.f64 y)))
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	320	(.f64 (/.f64 (neg.f64 x) (.f64 y (*.f64 x (neg.f64 y)))) x)
✓	cost-diff	576	(/.f64 (neg.f64 x) (.f64 y (.f64 x (neg.f64 y))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	320	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) y) y)
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(.f64 x (.f64 y y))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	640	(/.f64 (.f64 x x) (.f64 x (*.f64 y y)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	cost-diff	384	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)

Rules

4 486×	`lower-*.f32`
4 468×	`lower-*.f64`
3 590×	`lower-fma.f64`
3 590×	`lower-fma.f32`
1 680×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	121
0	41	105
1	86	91
2	212	91
3	895	91
4	2391	91
5	3806	91
6	5259	91
7	5988	91
8	6313	91
9	6513	91
10	7496	91
0	8042	91

Stop Event

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

Calls

Call 1

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

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

localize71.0ms (1.5%)

Memory

-1.7MiB live, 156.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.7%	(.f64 (/.f64 x y) (.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	77.0%	(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	99.8%	(.f64 y (.f64 x (neg.f64 y)))
✓	accuracy	86.2%	(/.f64 (neg.f64 x) (.f64 y (.f64 x (neg.f64 y))))
✓	accuracy	85.2%	(.f64 (/.f64 (neg.f64 x) (.f64 y (*.f64 x (neg.f64 y)))) x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) y) y)
✓	accuracy	85.2%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	88.4%	(.f64 x (.f64 y y))
✓	accuracy	63.3%	(/.f64 (.f64 x x) (.f64 x (*.f64 y y)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.8%	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) y) x)

Samples

43.0ms

256×

valid

Compiler

Compiled 123 to 24 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 14.0ms (47.4% of total)

ival-div: 13.0ms (44% of total)

ival-neg: 2.0ms (6.8% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

17 → 336

Calls

Call 1

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

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

Calls

84 calls:

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

rewrite160.0ms (3.4%)

Memory

-8.2MiB live, 239.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 894×	`lower-*.f32`
1 876×	`lower-*.f64`
1 582×	`lower-/.f32`
1 568×	`lower-/.f64`
536×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	99
0	41	69
1	135	65
2	855	65
0	3926	65

Stop Event

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

Counts

17 → 1 120

Calls

Call 1

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

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

simplify31.0ms (0.6%)

Memory

2.4MiB live, 80.6MiB allocated

Algorithm

1×	egg-herbie

Rules

64×	`lower-*.f64`
64×	`lower-fma.f64`
64×	`lower-fma.f32`
64×	`lower-*.f32`
52×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	1428
1	25	1428
2	44	1428
3	77	1428
4	98	1428
5	114	1428
6	132	1428
7	162	1428
8	187	1428
9	195	1428
10	195	1428
0	195	1428

Stop Event

1×	iter limit
1×	saturated

Counts

336 → 336

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

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

eval187.0ms (4%)

Memory: 17.8MiB live, 360.3MiB allocated
Compiler: Compiled 18 391 to 1 968 computations (89.3% saved)

prune108.0ms (2.3%)

Memory

-5.4MiB live, 279.7MiB allocated

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	1 594	1	1 595
Fresh	0	3	3
Picked	1	4	5
Done	0	4	4
Total	1 595	12	1 607

Accuracy

100.0%

Counts

1 607 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
✓	99.8%	(/.f64 (/.f64 x y) y)
▶	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓	99.7%	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
✓	62.2%	(/.f64 (.f64 x x) (.f64 x (*.f64 y y)))
✓	85.5%	(/.f64 x (*.f64 y y))
▶	99.3%	(/.f64 #s(literal -1 binary64) (*.f64 y (/.f64 y (neg.f64 x))))
✓	85.2%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)
▶	70.9%	(.f64 (/.f64 x (.f64 y (*.f64 y x))) x)
▶	99.7%	(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
✓	99.5%	(.f64 (/.f64 x y) (.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) x)))
✓	84.5%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)

Compiler

Compiled 115 to 70 computations (39.1% saved)

simplify184.0ms (3.9%)

Memory

-5.5MiB live, 153.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	1088	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(/.f64 y (neg.f64 x))
✓	cost-diff	0	(*.f64 y (/.f64 y (neg.f64 x)))
✓	cost-diff	832	(/.f64 #s(literal -1 binary64) (*.f64 y (/.f64 y (neg.f64 x))))
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(.f64 y (.f64 y x))
✓	cost-diff	320	(/.f64 x (.f64 y (.f64 y x)))
✓	cost-diff	320	(.f64 (/.f64 x (.f64 y (*.f64 y x))) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	704	(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))

Rules

2 492×	`lower-*.f32`
2 482×	`lower-*.f64`
1 706×	`lower-fma.f64`
1 706×	`lower-fma.f32`
1 564×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	81
0	30	78
1	56	70
2	113	68
3	276	68
4	1014	68
5	3444	68
6	7275	68
0	8097	68

Stop Event

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

Calls

Call 1

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

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

localize66.0ms (1.4%)

Memory

24.3MiB live, 104.7MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓	accuracy	100.0%	(/.f64 y (neg.f64 x))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	99.8%	(*.f64 y (/.f64 y (neg.f64 x)))
✓	accuracy	99.4%	(/.f64 #s(literal -1 binary64) (*.f64 y (/.f64 y (neg.f64 x))))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	99.8%	(.f64 y (.f64 y x))
✓	accuracy	86.2%	(/.f64 x (.f64 y (.f64 y x)))
✓	accuracy	85.2%	(.f64 (/.f64 x (.f64 y (*.f64 y x))) x)
✓	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))

Samples

40.0ms

256×

valid

Compiler

Compiled 83 to 19 computations (77.1% saved)

Precisions

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

ival-div: 12.0ms (59.9% of total)

ival-mult: 7.0ms (35% of total)

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

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.4%)

Memory

-21.5MiB live, 17.9MiB allocated

Counts

13 → 288

Calls

Call 1

Inputs
#<alt (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 x y)>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (.f64 (/.f64 x (.f64 y (*.f64 y x))) x)>
#<alt (/.f64 x (.f64 y (.f64 y x)))>
#<alt (.f64 y (.f64 y x))>
#<alt (*.f64 y x)>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 y (/.f64 y (neg.f64 x))))>
#<alt (*.f64 y (/.f64 y (neg.f64 x)))>
#<alt (/.f64 y (neg.f64 x))>
#<alt (neg.f64 x)>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))>
#<alt (/.f64 y x)>

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

Calls

72 calls:

Time	Variable		Point	Expression
13.0ms	y	@	-inf	(* y x)
1.0ms	y	@	0	(* y (/ y (neg x)))
0.0ms	x	@	inf	(* y x)
0.0ms	y	@	inf	(* y (/ y (neg x)))
0.0ms	x	@	inf	(/ y (neg x))

rewrite172.0ms (3.7%)

Memory

-9.4MiB live, 160.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 102×	`lower-*.f32`
1 092×	`lower-*.f64`
936×	`lower-/.f32`
922×	`lower-/.f64`
622×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	67
0	30	56
1	95	56
2	476	52
0	2681	52

Stop Event

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

Counts

13 → 704

Calls

Call 1

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

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

simplify42.0ms (0.9%)

Memory

14.7MiB live, 54.1MiB allocated

Algorithm

1×	egg-herbie

Rules

66×	`lower-*.f64`
66×	`lower-fma.f64`
66×	`lower-fma.f32`
66×	`lower-*.f32`
64×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	1236
1	32	1236
2	49	1236
3	70	1236
4	92	1236
5	108	1236
6	126	1236
7	164	1236
8	211	1236
9	216	1236
0	216	1236

Stop Event

1×	iter limit
1×	saturated

Counts

288 → 288

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

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))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ 1 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)
(/ 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))
(/ 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))
(* 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))
(* -1 (/ (pow y 2) x))
(/.f64 (*.f64 y y) (neg.f64 x))
(* -1 (/ (pow y 2) x))
(/.f64 (*.f64 y y) (neg.f64 x))
(* -1 (/ (pow y 2) x))
(/.f64 (*.f64 y y) (neg.f64 x))
(* -1 (/ (pow y 2) x))
(/.f64 (*.f64 y y) (neg.f64 x))
(* -1 (/ (pow y 2) x))
(/.f64 (*.f64 y y) (neg.f64 x))
(* -1 (/ (pow y 2) x))
(/.f64 (*.f64 y y) (neg.f64 x))
(* -1 (/ (pow y 2) x))
(/.f64 (*.f64 y y) (neg.f64 x))
(* -1 (/ (pow y 2) x))
(/.f64 (*.f64 y y) (neg.f64 x))
(* -1 (/ (pow y 2) x))
(/.f64 (*.f64 y y) (neg.f64 x))
(* -1 (/ (pow y 2) x))
(/.f64 (*.f64 y y) (neg.f64 x))
(* -1 (/ (pow y 2) x))
(/.f64 (*.f64 y y) (neg.f64 x))
(* -1 (/ (pow y 2) x))
(/.f64 (*.f64 y y) (neg.f64 x))
(* -1 (/ (pow y 2) x))
(/.f64 (*.f64 y y) (neg.f64 x))
(* -1 (/ (pow y 2) x))
(/.f64 (*.f64 y y) (neg.f64 x))
(* -1 (/ (pow y 2) x))
(/.f64 (*.f64 y y) (neg.f64 x))
(* -1 (/ (pow y 2) x))
(/.f64 (*.f64 y y) (neg.f64 x))
(* -1 (/ (pow y 2) x))
(/.f64 (*.f64 y y) (neg.f64 x))
(* -1 (/ (pow y 2) x))
(/.f64 (*.f64 y y) (neg.f64 x))
(* -1 (/ (pow y 2) x))
(/.f64 (*.f64 y y) (neg.f64 x))
(* -1 (/ (pow y 2) x))
(/.f64 (*.f64 y y) (neg.f64 x))
(* -1 (/ (pow y 2) x))
(/.f64 (*.f64 y y) (neg.f64 x))
(* -1 (/ (pow y 2) x))
(/.f64 (*.f64 y y) (neg.f64 x))
(* -1 (/ (pow y 2) x))
(/.f64 (*.f64 y y) (neg.f64 x))
(* -1 (/ (pow y 2) x))
(/.f64 (*.f64 y y) (neg.f64 x))
(* -1 (/ y x))
(/.f64 y (neg.f64 x))
(* -1 (/ y x))
(/.f64 y (neg.f64 x))
(* -1 (/ y x))
(/.f64 y (neg.f64 x))
(* -1 (/ y x))
(/.f64 y (neg.f64 x))
(* -1 (/ y x))
(/.f64 y (neg.f64 x))
(* -1 (/ y x))
(/.f64 y (neg.f64 x))
(* -1 (/ y x))
(/.f64 y (neg.f64 x))
(* -1 (/ y x))
(/.f64 y (neg.f64 x))
(* -1 (/ y x))
(/.f64 y (neg.f64 x))
(* -1 (/ y x))
(/.f64 y (neg.f64 x))
(* -1 (/ y x))
(/.f64 y (neg.f64 x))
(* -1 (/ y x))
(/.f64 y (neg.f64 x))
(* -1 (/ y x))
(/.f64 y (neg.f64 x))
(* -1 (/ y x))
(/.f64 y (neg.f64 x))
(* -1 (/ y x))
(/.f64 y (neg.f64 x))
(* -1 (/ y x))
(/.f64 y (neg.f64 x))
(* -1 (/ y x))
(/.f64 y (neg.f64 x))
(* -1 (/ y x))
(/.f64 y (neg.f64 x))
(* -1 (/ y x))
(/.f64 y (neg.f64 x))
(* -1 (/ y x))
(/.f64 y (neg.f64 x))
(* -1 (/ y x))
(/.f64 y (neg.f64 x))
(* -1 (/ y x))
(/.f64 y (neg.f64 x))
(* -1 (/ y x))
(/.f64 y (neg.f64 x))
(* -1 (/ y x))
(/.f64 y (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 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))
(/ 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)

eval262.0ms (5.6%)

Memory: 8.4MiB live, 204.8MiB allocated
Compiler: Compiled 10 299 to 1 093 computations (89.4% saved)

prune105.0ms (2.2%)

Memory

-1.2MiB live, 198.2MiB allocated

Pruning

12 alts after pruning (0 fresh and 12 done)

	Pruned	Kept	Total
New	1 050	0	1 050
Fresh	0	0	0
Picked	0	4	4
Done	0	8	8
Total	1 050	12	1 062

Accuracy

100.0%

Counts

1 062 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
✓	99.8%	(/.f64 (/.f64 x y) y)
✓	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓	99.7%	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
✓	62.2%	(/.f64 (.f64 x x) (.f64 x (*.f64 y y)))
✓	85.5%	(/.f64 x (*.f64 y y))
✓	99.3%	(/.f64 #s(literal -1 binary64) (*.f64 y (/.f64 y (neg.f64 x))))
✓	85.2%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)
✓	70.9%	(.f64 (/.f64 x (.f64 y (*.f64 y x))) x)
✓	99.7%	(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
✓	99.5%	(.f64 (/.f64 x y) (.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) x)))
✓	84.5%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)

Compiler

Compiled 259 to 120 computations (53.7% saved)

regimes22.0ms (0.5%)

Memory

-3.9MiB live, 72.9MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	y
6.0ms	(*.f64 y y)
5.0ms	x
4.0ms	(/.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)

regimes7.0ms (0.2%)

Memory

-13.9MiB live, 24.6MiB allocated

Accuracy

Total -0.7b remaining (-7.3%)

Threshold costs -0.7b (-7.3%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	y
1.0ms	x
1.0ms	(*.f64 y y)
1.0ms	(/.f64 x (*.f64 y y))

Results

Accuracy	Segments	Branch
85.5%	1	`x`
85.5%	1	`y`
85.5%	1	`(/.f64 x (*.f64 y y))`
85.5%	1	`(*.f64 y y)`

Compiler

Compiled 18 to 11 computations (38.9% saved)

simplify5.0ms (0.1%)

Memory

19.7MiB live, 19.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness69.0ms (1.5%)

Memory

-30.3MiB live, 55.1MiB allocated

Rules

940×	`lower-*.f32`
938×	`lower-*.f64`
784×	`lower-/.f32`
782×	`lower-/.f64`
194×	`unpow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	18	8
2	77	8
3	360	8
0	2132	8

Stop Event

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

Compiler

Compiled 19 to 10 computations (47.4% saved)

preprocess47.0ms (1%)

Memory

3.4MiB live, 124.5MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 108 to 60 computations (44.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze9.0ms (0.2%)

sample805.0ms (17.1%)

preprocess53.0ms (1.1%)

explain104.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize14.0ms (0.3%)

series24.0ms (0.5%)

rewrite146.0ms (3.1%)

simplify5.0ms (0.1%)

eval16.0ms (0.3%)

prune98.0ms (2.1%)

simplify569.0ms (12.1%)

localize231.0ms (4.9%)

series15.0ms (0.3%)

rewrite269.0ms (5.7%)

simplify254.0ms (5.4%)

eval209.0ms (4.4%)

prune107.0ms (2.3%)

simplify206.0ms (4.4%)

localize71.0ms (1.5%)

series5.0ms (0.1%)

rewrite160.0ms (3.4%)

simplify31.0ms (0.6%)

eval187.0ms (4%)

prune108.0ms (2.3%)

simplify184.0ms (3.9%)

localize66.0ms (1.4%)

series19.0ms (0.4%)

rewrite172.0ms (3.7%)

simplify42.0ms (0.9%)

eval262.0ms (5.6%)

prune105.0ms (2.2%)

regimes22.0ms (0.5%)

regimes7.0ms (0.2%)

simplify5.0ms (0.1%)

soundness69.0ms (1.5%)

preprocess47.0ms (1%)

end0.0ms (0%)

Profiling