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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze9.0ms (0.2%)

Memory

18.6MiB live, 18.6MiB 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)

sample627.0ms (13.4%)

Memory

5.1MiB live, 834.6MiB allocated

Samples

358.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 171.0ms

ival-div: 104.0ms (60.8% of total)

ival-mult: 58.0ms (33.9% of total)

ival-true: 5.0ms (2.9% of total)

ival-assert: 4.0ms (2.3% of total)

Bogosity

explain44.0ms (0.9%)

Memory

27.1MiB live, 100.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
30	-	1	(1.9990862444614552e-107 1.1209200903093093e-158)	`(/.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	15	0
↳	`(*.f64 y y)`	overflow	55
`/.f64`	`(/.f64 x (*.f64 y y))`	n/u	14	0
↳	`(*.f64 y y)`	underflow	66

Confusion

	Predicted +	Predicted -
+	29	1
-	0	226

Precision

1.0

Recall

0.9666666666666667

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	29	0	1
-	0	0	226

Precision?

1.0

Recall?

0.9666666666666667

Freqs

test

number	freq
0	227
1	29

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

18.0ms

512×

valid

Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions

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

ival-mult: 4.0ms (52.5% of total)

ival-div: 3.0ms (39.4% of total)

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

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

preprocess48.0ms (1%)

Memory

-42.7MiB live, 50.4MiB 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)

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.4%	(/.f64 x (*.f64 y y))

Compiler

Compiled 5 to 4 computations (20% saved)

simplify3.0ms (0.1%)

Memory

1.9MiB live, 1.9MiB 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

localize12.0ms (0.3%)

Memory

14.3MiB live, 14.3MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 y y)
accuracy	6.799750636993872	(/.f64 x (*.f64 y y))

Samples

8.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

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

ival-div: 2.0ms (57.5% of total)

ival-mult: 2.0ms (57.5% of total)

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

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

series5.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs
#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())
#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())

Outputs
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 x (.f64 y y)) (patch (/.f64 x (.f64 y y)) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify3.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB 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))
(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))
(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))
(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))

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))
(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))
(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))
(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))

rewrite76.0ms (1.6%)

Memory

6.5MiB live, 82.8MiB 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×	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 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (.f64 y y))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 y #s(literal 6 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(.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 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 x y))
(.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) (/.f64 (/.f64 #s(literal -1 binary64) y) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (/.f64 x y) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) (sqrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (pow.f64 y #s(literal -1 binary64)) (sqrt.f64 y)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 (pow.f64 y #s(literal -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 (.f64 y y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (/.f64 (neg.f64 x) y) y) #s(literal -1 binary64))
(*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (neg.f64 x))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(.f64 (/.f64 (neg.f64 x) y) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 x) y) y))
(*.f64 (/.f64 x y) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
(.f64 #s(literal 1 binary64) (/.f64 x (.f64 y y)))
(*.f64 (neg.f64 x) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(.f64 (/.f64 x (.f64 y y)) #s(literal 1 binary64))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 y y) x))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 (.f64 y y) x) (/.f64 (*.f64 y y) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64))
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(/.f64 (/.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) y)
(/.f64 (.f64 (neg.f64 (.f64 x x)) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) x)
(/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) (.f64 x x))
(/.f64 (.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (neg.f64 (.f64 x x))) x)
(/.f64 (.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (.f64 x x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 y x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 (neg.f64 y) x))
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (/.f64 (/.f64 (neg.f64 x) y) y))) (/.f64 (/.f64 (neg.f64 x) y) y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (/.f64 (neg.f64 x) y) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (/.f64 (/.f64 (neg.f64 x) y) y) (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 x) y) y)))))
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) (*.f64 y x))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (.f64 y (*.f64 x x)))
(/.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 (.f64 x x))) (*.f64 (neg.f64 y) x))
(/.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (.f64 (neg.f64 y) (*.f64 x x)))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (.f64 x x))) (.f64 (.f64 y y) x))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 y y) (.f64 x x)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 x x))) (.f64 (.f64 (neg.f64 y) y) x))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 (neg.f64 y) y) (.f64 x x)))
(/.f64 (.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal -1 binary64) y)) (*.f64 x y))
(/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) y)) (.f64 (*.f64 x x) y))
(/.f64 (.f64 (neg.f64 (.f64 x x)) (pow.f64 y #s(literal -1 binary64))) (*.f64 x (neg.f64 y)))
(/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) (.f64 (*.f64 x x) (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 x)) #s(literal 1 binary64)) (.f64 x (.f64 (neg.f64 y) y)))
(/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (.f64 x x) (.f64 y y)))
(/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 (neg.f64 y) y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) y) (.f64 (.f64 (neg.f64 y) y) (/.f64 (neg.f64 x) y))) (.f64 (*.f64 (neg.f64 y) y) y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 y)) (.f64 (.f64 (neg.f64 y) y) (/.f64 x y))) (.f64 (*.f64 (neg.f64 y) y) (neg.f64 y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (neg.f64 y) y) (neg.f64 x))) (.f64 (.f64 (neg.f64 y) y) (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (neg.f64 y) y) x)) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (/.f64 (neg.f64 y) x) y)) (.f64 (neg.f64 y) y)) (.f64 (.f64 (neg.f64 y) y) (.f64 (/.f64 (neg.f64 y) x) y)))
(/.f64 (neg.f64 (.f64 x x)) (.f64 (*.f64 (neg.f64 y) y) x))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (.f64 (.f64 (neg.f64 y) y) (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (neg.f64 x) y) y) #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y x))
(/.f64 (/.f64 (neg.f64 x) y) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y))
(/.f64 (/.f64 x y) y)
(/.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y))
(/.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(/.f64 x (*.f64 y y))
(neg.f64 (/.f64 (/.f64 (neg.f64 x) y) y))
(fma.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 0 binary64) (/.f64 x (*.f64 y y)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 x) y) y))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 y y) x)) #s(literal -1 binary64)))
(+.f64 (.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 0 binary64)) (/.f64 x (.f64 y y)))
(+.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y))
(.f64 (.f64 y (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) y))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (pow.f64 y #s(literal -1 binary64))))
(.f64 (neg.f64 y) (.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (neg.f64 y))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 (neg.f64 y) y) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) y))
(.f64 #s(literal 1 binary64) (.f64 y y))
(.f64 (.f64 (neg.f64 y) y) #s(literal -1 binary64))
(.f64 (.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (.f64 y y))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal 6 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 3 binary64))) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y))
(/.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (*.f64 (neg.f64 y) y))
(/.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))
(/.f64 (*.f64 y y) #s(literal 1 binary64))
(/.f64 y (pow.f64 y #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 y) y))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) #s(literal 0 binary64))
(fma.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (pow.f64 y #s(literal -1 binary64))) #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 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (pow.f64 y #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) (*.f64 (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 #s(literal -1 binary64) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 y y #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y))
(exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y y))
(+.f64 (*.f64 y y) #s(literal 0 binary64))

eval31.0ms (0.7%)

Memory: -6.2MiB live, 32.9MiB allocated
Compiler: Compiled 1 729 to 350 computations (79.8% saved)

prune94.0ms (2%)

Memory

4.2MiB live, 43.1MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	178	5	183
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	178	6	184

Accuracy

100.0%

Counts

184 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (/.f64 x y) y)
▶	99.7%	(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
▶	72.3%	(/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) (*.f64 y x))
✓	89.4%	(/.f64 x (*.f64 y y))
▶	89.0%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
▶	99.4%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y))

Compiler

Compiled 85 to 70 computations (17.6% saved)

simplify368.0ms (7.9%)

Memory

-22.4MiB live, 90.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 (*.f64 x x))
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	448	(.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x)))
cost-diff	640	(/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) (*.f64 y x))
cost-diff	0	(neg.f64 y)
cost-diff	0	(/.f64 (neg.f64 y) x)
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	832	(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
cost-diff	0	(neg.f64 y)
cost-diff	0	(/.f64 (neg.f64 y) x)
cost-diff	0	(*.f64 (/.f64 (neg.f64 y) x) y)
cost-diff	448	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y))
cost-diff	0	(*.f64 y y)
cost-diff	0	(/.f64 (*.f64 y y) x)
cost-diff	320	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
cost-diff	0	(/.f64 x y)
cost-diff	0	(/.f64 (/.f64 x y) y)

Rules

4 778×	`lower-*.f32`
4 768×	`lower-*.f64`
2 278×	`lower-fma.f64`
2 278×	`lower-fma.f32`
1 906×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	107
0	36	92
1	71	91
2	191	89
3	640	89
4	2362	89
5	4109	89
6	5658	89
7	6412	89
8	7054	89
0	8141	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 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
#s(literal 1 binary64)
(/.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y))
#s(literal -1 binary64)
(*.f64 (/.f64 (neg.f64 y) x) y)
(/.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(/.f64 (neg.f64 y) x)
(neg.f64 y)
x
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) (*.f64 y x))
(.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x)))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(neg.f64 (*.f64 x x))
(*.f64 x x)
x
(*.f64 y x)

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

localize193.0ms (4.1%)

Memory

26.2MiB live, 73.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0	(neg.f64 (*.f64 x x))
accuracy	8.238197721264461	(.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x)))
accuracy	12.580724367698185	(/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) (*.f64 y x))
accuracy	0	(/.f64 (neg.f64 y) x)
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0	(neg.f64 y)
accuracy	0.203125	(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
accuracy	0	(/.f64 (neg.f64 y) x)
accuracy	0	(neg.f64 y)
accuracy	0.12890625	(*.f64 (/.f64 (neg.f64 y) x) y)
accuracy	0.3209159644521885	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y))
accuracy	0	(*.f64 y y)
accuracy	0.3209159644521885	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
accuracy	6.971597974891028	(/.f64 (*.f64 y y) x)
accuracy	0	(/.f64 x y)
accuracy	0.1015625	(/.f64 (/.f64 x y) y)

Samples

180.0ms

256×

valid

Compiler

Compiled 109 to 22 computations (79.8% saved)

Precisions

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

ival-div: 23.0ms (70.6% of total)

ival-mult: 7.0ms (21.5% of total)

ival-neg: 2.0ms (6.1% of total)

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

exact: 0.0ms (0% of total)

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

series147.0ms (3.1%)

Memory

-9.5MiB live, 27.2MiB allocated

Counts

15 → 300

Calls

Call 1

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

Outputs
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (pow y 2) x)) (taylor inf x) (#s(alt (.f64 (/.f64 (neg.f64 y) x) y) (patch (.f64 (/.f64 (neg.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) x)) (taylor inf x) (#s(alt (.f64 (/.f64 (neg.f64 y) x) y) (patch (.f64 (/.f64 (neg.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y x)) (taylor inf x) (#s(alt (/.f64 (neg.f64 y) x) (patch (/.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y x)) (taylor inf x) (#s(alt (/.f64 (neg.f64 y) x) (patch (/.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y x)) (taylor inf x) (#s(alt (/.f64 (neg.f64 y) x) (patch (/.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y x)) (taylor inf x) (#s(alt (/.f64 (neg.f64 y) x) (patch (/.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) (.f64 y x)) (patch (/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) (.f64 y x)) (patch (/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) (.f64 y x)) (patch (/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) (.f64 y x)) (patch (/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) y) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) (patch (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) y) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) (patch (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) y) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) (patch (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) y) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) (patch (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (neg.f64 (.f64 x x)) (patch (neg.f64 (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (neg.f64 (.f64 x x)) (patch (neg.f64 (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (neg.f64 (.f64 x x)) (patch (neg.f64 (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (neg.f64 (.f64 x x)) (patch (neg.f64 (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) y) (patch (/.f64 (/.f64 x y) y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (/.f64 (.f64 y y) x) (patch (/.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (/.f64 (.f64 y y) x) (patch (/.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (/.f64 (.f64 y y) x) (patch (/.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (/.f64 (.f64 y y) x) (patch (/.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 (/.f64 (neg.f64 y) x) y)) (patch (/.f64 #s(literal -1 binary64) (.f64 (/.f64 (neg.f64 y) x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 (/.f64 (neg.f64 y) x) y)) (patch (/.f64 #s(literal -1 binary64) (.f64 (/.f64 (neg.f64 y) x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 (/.f64 (neg.f64 y) x) y)) (patch (/.f64 #s(literal -1 binary64) (.f64 (/.f64 (neg.f64 y) x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 (/.f64 (neg.f64 y) x) y)) (patch (/.f64 #s(literal -1 binary64) (.f64 (/.f64 (neg.f64 y) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) x)) (taylor -inf x) (#s(alt (.f64 (/.f64 (neg.f64 y) x) y) (patch (.f64 (/.f64 (neg.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) x)) (taylor -inf x) (#s(alt (.f64 (/.f64 (neg.f64 y) x) y) (patch (.f64 (/.f64 (neg.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) x)) (taylor -inf x) (#s(alt (.f64 (/.f64 (neg.f64 y) x) y) (patch (.f64 (/.f64 (neg.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) x)) (taylor -inf x) (#s(alt (.f64 (/.f64 (neg.f64 y) x) y) (patch (.f64 (/.f64 (neg.f64 y) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y x)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 y) x) (patch (/.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y x)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 y) x) (patch (/.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y x)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 y) x) (patch (/.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y x)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 y) x) (patch (/.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) (.f64 y x)) (patch (/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) (.f64 y x)) (patch (/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) (.f64 y x)) (patch (/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) (.f64 y x)) (patch (/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) (patch (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) (patch (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) (patch (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) (patch (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (neg.f64 (.f64 x x)) (patch (neg.f64 (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (neg.f64 (.f64 x x)) (patch (neg.f64 (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (neg.f64 (.f64 x x)) (patch (neg.f64 (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (neg.f64 (.f64 x x)) (patch (neg.f64 (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
129.0ms	y	@	0	((/ (/ x y) y) (/ x y) (/ 1 (/ (* y y) x)) (/ (* y y) x) (* y y) (/ -1 (* (/ (neg y) x) y)) (* (/ (neg y) x) y) (/ (neg y) x) (neg y) (/ (/ -1 y) (/ (neg y) x)) (/ -1 y) (/ (* (/ -1 y) (neg (* x x))) (* y x)) (* (/ -1 y) (neg (* x x))) (neg (* x x)) (* x x))
4.0ms	x	@	inf	((/ (/ x y) y) (/ x y) (/ 1 (/ (* y y) x)) (/ (* y y) x) (* y y) (/ -1 (* (/ (neg y) x) y)) (* (/ (neg y) x) y) (/ (neg y) x) (neg y) (/ (/ -1 y) (/ (neg y) x)) (/ -1 y) (/ (* (/ -1 y) (neg (* x x))) (* y x)) (* (/ -1 y) (neg (* x x))) (neg (* x x)) (* x x))
2.0ms	y	@	inf	((/ (/ x y) y) (/ x y) (/ 1 (/ (* y y) x)) (/ (* y y) x) (* y y) (/ -1 (* (/ (neg y) x) y)) (* (/ (neg y) x) y) (/ (neg y) x) (neg y) (/ (/ -1 y) (/ (neg y) x)) (/ -1 y) (/ (* (/ -1 y) (neg (* x x))) (* y x)) (* (/ -1 y) (neg (* x x))) (neg (* x x)) (* x x))
2.0ms	y	@	-inf	((/ (/ x y) y) (/ x y) (/ 1 (/ (* y y) x)) (/ (* y y) x) (* y y) (/ -1 (* (/ (neg y) x) y)) (* (/ (neg y) x) y) (/ (neg y) x) (neg y) (/ (/ -1 y) (/ (neg y) x)) (/ -1 y) (/ (* (/ -1 y) (neg (* x x))) (* y x)) (* (/ -1 y) (neg (* x x))) (neg (* x x)) (* x x))
2.0ms	x	@	0	((/ (/ x y) y) (/ x y) (/ 1 (/ (* y y) x)) (/ (* y y) x) (* y y) (/ -1 (* (/ (neg y) x) y)) (* (/ (neg y) x) y) (/ (neg y) x) (neg y) (/ (/ -1 y) (/ (neg y) x)) (/ -1 y) (/ (* (/ -1 y) (neg (* x x))) (* y x)) (* (/ -1 y) (neg (* x x))) (neg (* x x)) (* x x))

simplify145.0ms (3.1%)

Memory

-17.9MiB live, 18.6MiB allocated

Algorithm

1×	egg-herbie

Rules

68×	`lower-*.f64`
68×	`lower-fma.f64`
68×	`lower-+.f64`
68×	`lower-fma.f32`
68×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	1332
1	29	1332
2	52	1332
3	68	1332
4	95	1332
5	123	1332
6	150	1332
7	195	1332
8	223	1332
9	229	1332
10	231	1332
0	231	1332

Stop Event

1×	iter limit
1×	saturated

Counts

300 → 300

Calls

Call 1

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

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

rewrite135.0ms (2.9%)

Memory

13.6MiB live, 168.8MiB allocated

Rules

1 530×	`lower-*.f32`
1 520×	`lower-*.f64`
1 366×	`lower-/.f32`
1 348×	`lower-/.f64`
992×	`frac-times`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	81
0	36	66
1	125	63
2	676	63
0	3986	63

Stop Event

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

Counts

15 → 1 108

Calls

Call 1

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

Outputs
(.f64 (/.f64 (/.f64 (neg.f64 x) y) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (.f64 y y))
(.f64 (/.f64 (/.f64 (neg.f64 x) y) (.f64 (neg.f64 y) y)) y)
(*.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) x)
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)))
(.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 y #s(literal -1 binary64))) (*.f64 (neg.f64 x) x))
(.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (/.f64 (neg.f64 x) y)) x)
(.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (*.f64 (neg.f64 x) x)) (pow.f64 y #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (*.f64 x x)) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (/.f64 #s(literal -1 binary64) y)) (*.f64 x x))
(.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) #s(literal -1 binary64)) (*.f64 (/.f64 x y) x))
(.f64 (.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) (.f64 x x))
(.f64 (.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y)) (neg.f64 x))
(.f64 (.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (neg.f64 x)) (/.f64 (neg.f64 x) y))
(.f64 (.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (/.f64 (neg.f64 y) x)))
(.f64 (.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (/.f64 x y)) x)
(.f64 (.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) x) (/.f64 x y))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 x y) x))
(.f64 (/.f64 (.f64 x x) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) y))
(*.f64 (/.f64 (/.f64 (neg.f64 x) y) (neg.f64 x)) (/.f64 x y))
(.f64 (/.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 y x)))
(.f64 (/.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) x))
(*.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 y) x) x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) x) (.f64 (neg.f64 x) x))
(*.f64 (/.f64 (/.f64 x (/.f64 (neg.f64 y) x)) y) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 x (/.f64 (neg.f64 y) x)) y))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (/.f64 (/.f64 (neg.f64 y) x) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (/.f64 x (/.f64 (neg.f64 y) x)))
(*.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
(.f64 (.f64 (/.f64 (/.f64 x y) y) x) (pow.f64 x #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) (*.f64 (/.f64 x y) x))
(*.f64 (/.f64 (/.f64 (neg.f64 x) y) y) #s(literal -1 binary64))
(.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 (/.f64 (/.f64 x y) y) x))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y))
(*.f64 (/.f64 (/.f64 x y) y) #s(literal 1 binary64))
(.f64 (/.f64 (neg.f64 x) y) (.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) x)))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (neg.f64 x))
(*.f64 (/.f64 x (/.f64 (neg.f64 y) x)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(.f64 (neg.f64 x) (/.f64 (neg.f64 x) (.f64 (*.f64 y x) y)))
(.f64 (neg.f64 x) (.f64 (/.f64 (neg.f64 x) y) (pow.f64 (*.f64 y x) #s(literal -1 binary64))))
(.f64 (neg.f64 x) (.f64 x (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) x)))
(.f64 (neg.f64 x) (/.f64 (/.f64 (neg.f64 x) y) (.f64 y x)))
(*.f64 (neg.f64 x) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(.f64 (.f64 (/.f64 x y) x) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
(.f64 (.f64 (neg.f64 x) x) (*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64))))
(.f64 (.f64 (neg.f64 x) x) (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) x))
(.f64 (.f64 x x) (/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) y)))
(.f64 (.f64 x x) (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))
(.f64 (.f64 x x) (*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) x)))
(.f64 (.f64 x x) (.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (.f64 y x) #s(literal -1 binary64))))
(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y x) y)))
(.f64 (.f64 x x) (/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) y))
(.f64 (.f64 x x) (/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 y x)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) y))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 x) y) y))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) y))
(*.f64 (/.f64 x y) (pow.f64 y #s(literal -1 binary64)))
(.f64 x (/.f64 x (.f64 (*.f64 y x) y)))
(*.f64 x (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)))
(.f64 x (.f64 (/.f64 x y) (pow.f64 (*.f64 y x) #s(literal -1 binary64))))
(.f64 x (.f64 (neg.f64 x) (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) x)))
(.f64 x (/.f64 (/.f64 x y) (.f64 y x)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 y y) x))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 (.f64 y y) x) (/.f64 (*.f64 y y) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64))
(/.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) x)) (.f64 x x))
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) x)) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (.f64 (.f64 (/.f64 (/.f64 x y) y) x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (.f64 (neg.f64 x) x)) y)
(/.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (.f64 x x)) (neg.f64 y))
(/.f64 (.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (.f64 x x)) (neg.f64 x))
(/.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 x x)) (*.f64 y y))
(/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) y)) (.f64 (.f64 x x) (.f64 y x)))
(/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) y)) (.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y x)))
(/.f64 (/.f64 (/.f64 x (/.f64 (neg.f64 y) x)) y) (neg.f64 x))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (/.f64 (/.f64 (neg.f64 y) x) x))
(/.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 (/.f64 x y) y) x) x)
(/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (/.f64 (/.f64 y x) x))
(/.f64 (/.f64 (/.f64 (neg.f64 x) y) y) #s(literal -1 binary64))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 y y) x) x))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 y x) x) x))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y x))
(/.f64 (/.f64 (/.f64 x y) y) #s(literal 1 binary64))
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y))
(/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 x (/.f64 (neg.f64 y) x)) (*.f64 (neg.f64 x) y))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y))
(/.f64 (.f64 (/.f64 x y) x) (.f64 y x))
(/.f64 (.f64 (neg.f64 x) x) (.f64 (*.f64 (neg.f64 x) y) y))
(/.f64 (.f64 x x) (.f64 (neg.f64 x) (*.f64 (neg.f64 y) y)))
(/.f64 (.f64 x x) (.f64 (*.f64 (neg.f64 y) y) (neg.f64 x)))
(/.f64 (.f64 x x) (.f64 (neg.f64 y) (*.f64 (neg.f64 x) y)))
(/.f64 (.f64 x x) (.f64 (*.f64 y x) y))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (/.f64 (.f64 y y) x) x) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
(/.f64 (/.f64 x y) y)
(/.f64 x (*.f64 y y))
(neg.f64 (*.f64 (/.f64 (/.f64 x (/.f64 (neg.f64 y) x)) y) (pow.f64 x #s(literal -1 binary64))))
(neg.f64 (/.f64 (/.f64 (neg.f64 x) y) y))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y x)) (/.f64 (/.f64 (neg.f64 x) y) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) y))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y)) (/.f64 (/.f64 (neg.f64 x) y) y))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 x) y) y))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 y y) x)) #s(literal -1 binary64)))
(.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (.f64 y y))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) (*.f64 x x))
(.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 (/.f64 x y) x))
(*.f64 (pow.f64 y #s(literal -1 binary64)) x)
(*.f64 (/.f64 (/.f64 x y) y) y)
(*.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 (/.f64 x y) x) (pow.f64 x #s(literal -1 binary64)))
(.f64 (.f64 (neg.f64 x) x) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(.f64 (.f64 x x) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 x (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64))
(/.f64 (/.f64 x (/.f64 (neg.f64 y) x)) (neg.f64 x))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x y) x) x)
(/.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) y))
(/.f64 (.f64 x x) (.f64 y x))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 (neg.f64 x) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(.f64 (/.f64 (/.f64 (neg.f64 x) y) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (.f64 y y))
(.f64 (/.f64 (/.f64 (neg.f64 x) y) (.f64 (neg.f64 y) y)) y)
(*.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) x)
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)))
(.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 y #s(literal -1 binary64))) (*.f64 (neg.f64 x) x))
(.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (/.f64 (neg.f64 x) y)) x)
(.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (*.f64 (neg.f64 x) x)) (pow.f64 y #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (*.f64 x x)) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (/.f64 #s(literal -1 binary64) y)) (*.f64 x x))
(.f64 (.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) #s(literal -1 binary64)) (*.f64 (/.f64 x y) x))
(.f64 (.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) (.f64 x x))
(.f64 (.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y)) (neg.f64 x))
(.f64 (.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (neg.f64 x)) (/.f64 (neg.f64 x) y))
(.f64 (.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (/.f64 (neg.f64 y) x)))
(.f64 (.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (/.f64 x y)) x)
(.f64 (.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) x) (/.f64 x y))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 x y) x))
(.f64 (/.f64 (.f64 x x) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) y))
(*.f64 (/.f64 (/.f64 (neg.f64 x) y) (neg.f64 x)) (/.f64 x y))
(.f64 (/.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 y x)))
(.f64 (/.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) x))
(*.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 y) x) x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) x) (.f64 (neg.f64 x) x))
(*.f64 (/.f64 (/.f64 x (/.f64 (neg.f64 y) x)) y) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)) (.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 x (/.f64 (neg.f64 y) x)) y))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (pow.f64 (/.f64 (/.f64 (neg.f64 y) x) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (/.f64 x (/.f64 (neg.f64 y) x)))
(*.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
(.f64 (.f64 (/.f64 (/.f64 x y) y) x) (pow.f64 x #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) (*.f64 (/.f64 x y) x))
(*.f64 (/.f64 (/.f64 (neg.f64 x) y) y) #s(literal -1 binary64))
(.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 (/.f64 (/.f64 x y) y) x))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y))
(*.f64 (/.f64 (/.f64 x y) y) #s(literal 1 binary64))
(.f64 (/.f64 (neg.f64 x) y) (.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) x)))
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(/.f64 x (/.f64 y x))
(neg.f64 (/.f64 x (/.f64 (neg.f64 y) x)))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 x y) x))
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64) (*.f64 (/.f64 x y) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 x (/.f64 (neg.f64 y) x)))
(-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 (neg.f64 y) x)))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) (.f64 (/.f64 x y) x))
(+.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y)) (.f64 (/.f64 x y) x))
(+.f64 #s(literal 0 binary64) (*.f64 (/.f64 x y) x))
(.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (neg.f64 x) x)
(.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 x x))
(.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x))
(*.f64 x (neg.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) x))) (.f64 x x))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) x)) (.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 x x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 x x))
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 x x))
(/.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 x #s(literal 6 binary64)))))
(neg.f64 (*.f64 x x))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) x #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x) #s(literal 0 binary64))
(fma.f64 x (neg.f64 x) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))
(+.f64 (*.f64 (neg.f64 x) x) #s(literal 0 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 x x))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (.f64 x x))
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(neg.f64 (*.f64 (neg.f64 x) x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 x x #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x x))
(+.f64 (*.f64 x x) #s(literal 0 binary64))

eval402.0ms (8.6%)

Memory: 10.6MiB live, 342.9MiB allocated
Compiler: Compiled 17 296 to 1 940 computations (88.8% saved)

prune249.0ms (5.3%)

Memory

-2.3MiB live, 238.3MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	1 570	4	1 574
Fresh	0	0	0
Picked	3	2	5
Done	0	1	1
Total	1 573	7	1 580

Accuracy

100.0%

Counts

1 580 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 (/.f64 x y) y)
✓	99.7%	(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
▶	67.8%	(/.f64 (.f64 x x) (.f64 (*.f64 y x) y))
✓	89.4%	(/.f64 x (*.f64 y y))
▶	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))))
▶	99.4%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
▶	67.8%	(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y x) y)))

Compiler

Compiled 64 to 45 computations (29.7% saved)

simplify161.0ms (3.4%)

Memory

-9.7MiB live, 65.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y x)
cost-diff	0	(.f64 (.f64 y x) y)
cost-diff	0	(*.f64 x x)
cost-diff	256	(/.f64 (.f64 x x) (.f64 (*.f64 y x) y))
cost-diff	0	(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)))
cost-diff	320	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))))
cost-diff	4480	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)))
cost-diff	5824	(pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 y x)
cost-diff	0	(*.f64 (/.f64 y x) y)
cost-diff	320	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
cost-diff	0	(.f64 (.f64 y x) y)
cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y x) y))
cost-diff	0	(*.f64 x x)
cost-diff	576	(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y x) y)))

Rules

7 212×	`lower-*.f32`
7 202×	`lower-*.f64`
2 112×	`swap-sqr`
1 908×	`associate-/r/`
1 802×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	136
0	34	126
1	63	116
2	119	96
3	239	96
4	742	96
5	1653	96
6	1912	96
7	2100	96
8	2306	96
9	2595	96
10	3014	96
11	4484	96
12	5821	96
13	6482	96
14	6982	96
15	7142	96
16	7267	96
0	8227	96

Stop Event

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

Calls

Call 1

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

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

localize90.0ms (1.9%)

Memory

15.9MiB live, 53.0MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0	(*.f64 x x)
accuracy	0.125	(.f64 (.f64 y x) y)
accuracy	19.7947933109532	(/.f64 (.f64 x x) (.f64 (*.f64 y x) y))
accuracy	0.1875	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)))
accuracy	0.3209159644521885	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))))
accuracy	0.48885573925741055	(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)))
accuracy	22.006064145772548	(pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))
accuracy	0	(/.f64 y x)
accuracy	0.12890625	(*.f64 (/.f64 y x) y)
accuracy	0.3209159644521885	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
accuracy	0	(*.f64 x x)
accuracy	0.125	(.f64 (.f64 y x) y)
accuracy	0.7176409693077876	(/.f64 #s(literal 1 binary64) (.f64 (.f64 y x) y))
accuracy	19.703390394336665	(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y x) y)))

Samples

34.0ms

256×

valid

Compiler

Compiled 138 to 21 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 12.0ms (55.7% of total)

ival-mult: 7.0ms (32.5% of total)

ival-sqrt: 2.0ms (9.3% of total)

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

exact: 0.0ms (0% of total)

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

series55.0ms (1.2%)

Memory

-28.3MiB live, 66.5MiB allocated

Counts

13 → 300

Calls

Call 1

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

Outputs
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y x) y))) (patch (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y x) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y x) y))) (patch (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y x) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y x) y))) (patch (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y x) y))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y x) y))) (patch (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y x) y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (pow y 2))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (pow y 2))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (pow y 2))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (pow y 2))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y x) y) (patch (.f64 (.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y x) y) (patch (.f64 (.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y x) y) (patch (.f64 (.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor 0 y) (#s(alt (.f64 (.f64 y x) y) (patch (.f64 (.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
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#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) y)) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (.f64 (/.f64 y x) y) (patch (.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (.f64 (/.f64 y x) y) (patch (.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (.f64 (/.f64 y x) y) (patch (.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (.f64 (/.f64 y x) y) (patch (.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) (taylor -inf x) (#s(alt (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)) (patch (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) (taylor -inf x) (#s(alt (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)) (patch (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) (taylor -inf x) (#s(alt (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)) (patch (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) (taylor -inf x) (#s(alt (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)) (patch (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) (* x (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) (* x (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) (* x (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (pow y 2) (* x (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 x x) (.f64 (.f64 y x) y)) (patch (/.f64 (.f64 x x) (.f64 (.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 x x) (.f64 (.f64 y x) y)) (patch (/.f64 (.f64 x x) (.f64 (.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 x x) (.f64 (.f64 y x) y)) (patch (/.f64 (.f64 x x) (.f64 (.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (/.f64 (.f64 x x) (.f64 (.f64 y x) y)) (patch (/.f64 (.f64 x x) (.f64 (.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
17.0ms	x	@	-inf	((* (* x x) (/ 1 (* (* y x) y))) (* x x) (/ 1 (* (* y x) y)) (* (* y x) y) (/ 1 (* (/ y x) y)) (* (/ y x) y) (/ y x) (pow (/ (/ x y) y) 1/2) (/ (/ 1 (pow (/ (/ x y) y) 1/2)) (pow (/ (/ x y) y) 1/2)) (/ 1 (/ (/ 1 (pow (/ (/ x y) y) 1/2)) (pow (/ (/ x y) y) 1/2))) (/ 1 (pow (/ (/ x y) y) 1/2)) (/ (* x x) (* (* y x) y)) (* y x))
15.0ms	y	@	inf	((* (* x x) (/ 1 (* (* y x) y))) (* x x) (/ 1 (* (* y x) y)) (* (* y x) y) (/ 1 (* (/ y x) y)) (* (/ y x) y) (/ y x) (pow (/ (/ x y) y) 1/2) (/ (/ 1 (pow (/ (/ x y) y) 1/2)) (pow (/ (/ x y) y) 1/2)) (/ 1 (/ (/ 1 (pow (/ (/ x y) y) 1/2)) (pow (/ (/ x y) y) 1/2))) (/ 1 (pow (/ (/ x y) y) 1/2)) (/ (* x x) (* (* y x) y)) (* y x))
3.0ms	y	@	0	((* (* x x) (/ 1 (* (* y x) y))) (* x x) (/ 1 (* (* y x) y)) (* (* y x) y) (/ 1 (* (/ y x) y)) (* (/ y x) y) (/ y x) (pow (/ (/ x y) y) 1/2) (/ (/ 1 (pow (/ (/ x y) y) 1/2)) (pow (/ (/ x y) y) 1/2)) (/ 1 (/ (/ 1 (pow (/ (/ x y) y) 1/2)) (pow (/ (/ x y) y) 1/2))) (/ 1 (pow (/ (/ x y) y) 1/2)) (/ (* x x) (* (* y x) y)) (* y x))
2.0ms	x	@	0	((* (* x x) (/ 1 (* (* y x) y))) (* x x) (/ 1 (* (* y x) y)) (* (* y x) y) (/ 1 (* (/ y x) y)) (* (/ y x) y) (/ y x) (pow (/ (/ x y) y) 1/2) (/ (/ 1 (pow (/ (/ x y) y) 1/2)) (pow (/ (/ x y) y) 1/2)) (/ 1 (/ (/ 1 (pow (/ (/ x y) y) 1/2)) (pow (/ (/ x y) y) 1/2))) (/ 1 (pow (/ (/ x y) y) 1/2)) (/ (* x x) (* (* y x) y)) (* y x))
2.0ms	y	@	-inf	((* (* x x) (/ 1 (* (* y x) y))) (* x x) (/ 1 (* (* y x) y)) (* (* y x) y) (/ 1 (* (/ y x) y)) (* (/ y x) y) (/ y x) (pow (/ (/ x y) y) 1/2) (/ (/ 1 (pow (/ (/ x y) y) 1/2)) (pow (/ (/ x y) y) 1/2)) (/ 1 (/ (/ 1 (pow (/ (/ x y) y) 1/2)) (pow (/ (/ x y) y) 1/2))) (/ 1 (pow (/ (/ x y) y) 1/2)) (/ (* x x) (* (* y x) y)) (* y x))

simplify146.0ms (3.1%)

Memory

10.7MiB live, 86.8MiB allocated

Algorithm

1×	egg-herbie

Rules

2 572×	`lower-*.f64`
2 572×	`lower-*.f32`
2 252×	`lower-fma.f64`
2 252×	`lower-fma.f32`
1 474×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	1484
1	69	1436
2	230	1436
3	592	1436
4	2653	1436
5	4406	1436
6	5656	1436
7	5841	1436
8	5896	1436
9	5925	1436
10	6323	1436
11	7403	1436
0	8215	1436

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

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

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

rewrite208.0ms (4.4%)

Memory

-4.4MiB live, 150.6MiB allocated

Rules

2 504×	`lower-*.f32`
2 494×	`lower-*.f64`
1 648×	`lower-fma.f64`
1 648×	`lower-fma.f32`
1 534×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	105
0	34	80
1	124	80
2	642	59
3	5238	57
0	8486	57

Stop Event

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

Counts

13 → 1 902

Calls

Call 1

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

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

eval340.0ms (7.3%)

Memory: 33.7MiB live, 561.4MiB allocated
Compiler: Compiled 30 986 to 2 604 computations (91.6% saved)

prune209.0ms (4.5%)

Memory

23.1MiB live, 338.5MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	2 456	2	2 458
Fresh	0	0	0
Picked	1	3	4
Done	0	3	3
Total	2 457	8	2 465

Accuracy

100.0%

Counts

2 465 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x)))
✓	99.8%	(/.f64 (/.f64 x y) y)
✓	99.7%	(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
✓	67.8%	(/.f64 (.f64 x x) (.f64 (*.f64 y x) y))
✓	89.4%	(/.f64 x (*.f64 y y))
✓	99.4%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
▶	89.1%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x))
✓	67.8%	(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y x) y)))

Compiler

Compiled 62 to 48 computations (22.6% saved)

simplify89.0ms (1.9%)

Memory

-4.7MiB live, 32.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y (sqrt.f64 x))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(/.f64 (sqrt.f64 x) y)
cost-diff	2368	(/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x)))
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 y y)
cost-diff	0	(/.f64 #s(literal -1 binary64) (*.f64 y y))
cost-diff	448	(.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x))

Rules

560×	`lower-fma.f64`
560×	`associate-r`
560×	`lower-fma.f32`
560×	`lower-*.f32`
556×	`lower-*.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	42
0	19	41
1	33	39
2	69	35
3	146	35
4	336	35
5	600	35
6	1836	35
7	2255	35
8	2506	35
9	2754	35
10	2968	35
11	3163	35
12	3237	35
13	3261	35
14	3269	35
15	3289	35
16	3307	35
17	3345	35
18	3345	35
0	3345	35

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize59.0ms (1.3%)

Memory

-40.1MiB live, 62.1MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(sqrt.f64 x)
accuracy	0.18359375	(/.f64 y (sqrt.f64 x))
accuracy	0.221035009768442	(/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x)))
accuracy	0.24609375	(/.f64 (sqrt.f64 x) y)
accuracy	0	(*.f64 y y)
accuracy	0	(neg.f64 x)
accuracy	0.18757915544636034	(/.f64 #s(literal -1 binary64) (*.f64 y y))
accuracy	6.979739997213356	(.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x))

Samples

52.0ms

256×

valid

Compiler

Compiled 44 to 13 computations (70.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 8.0ms (50.8% of total)

ival-mult: 3.0ms (19% of total)

ival-sqrt: 3.0ms (19% of total)

ival-neg: 1.0ms (6.3% 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

28.5MiB live, 28.5MiB allocated

Counts

8 → 144

Calls

Call 1

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

Outputs
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) (patch (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) (patch (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) (patch (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) (patch (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 y y)) (patch (/.f64 #s(literal -1 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 y y)) (patch (/.f64 #s(literal -1 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 y y)) (patch (/.f64 #s(literal -1 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 y y)) (patch (/.f64 #s(literal -1 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) (patch (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) (patch (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) (patch (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 y) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) (patch (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor 0 y) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor 0 y) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor 0 y) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor 0 y) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor 0 y) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor 0 y) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor 0 y) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor 0 y) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) (patch (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) (patch (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) (patch (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) (patch (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 y y)) (patch (/.f64 #s(literal -1 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 y y)) (patch (/.f64 #s(literal -1 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 y y)) (patch (/.f64 #s(literal -1 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow y 2)) (taylor inf y) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 y y)) (patch (/.f64 #s(literal -1 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) (patch (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) (patch (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) (patch (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf y) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) (patch (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor inf y) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor inf y) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor inf y) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor inf y) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor inf y) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor inf y) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor inf y) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor inf y) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) (patch (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) (patch (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) (patch (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) (patch (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 y y)) (patch (/.f64 #s(literal -1 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 y y)) (patch (/.f64 #s(literal -1 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 y y)) (patch (/.f64 #s(literal -1 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow y 2)) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) (.f64 y y)) (patch (/.f64 #s(literal -1 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) (patch (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) (patch (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) (patch (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf y) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) (patch (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor -inf y) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor -inf y) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor -inf y) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor -inf y) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor -inf y) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor -inf y) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor -inf y) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor -inf y) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) (patch (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) (patch (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) (patch (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) (patch (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) (patch (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) (patch (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) (patch (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) (patch (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor 0 x) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor 0 x) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor 0 x) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor 0 x) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) (patch (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) (patch (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) (patch (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) (patch (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) (patch (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) (patch (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) (patch (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) (patch (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor inf x) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor inf x) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor inf x) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (/ 1 y)) (taylor inf x) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor inf x) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor inf x) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor inf x) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor inf x) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) (patch (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) (patch (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) (patch (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) (patch (.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) (patch (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) (patch (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) (patch (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2))) (taylor -inf x) (#s(alt (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) (patch (/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 x) y) (patch (/.f64 (sqrt.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor -inf x) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor -inf x) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor -inf x) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) y) (taylor -inf x) (#s(alt (/.f64 y (sqrt.f64 x)) (patch (/.f64 y (sqrt.f64 x)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((* (/ -1 (* y y)) (neg x)) (/ -1 (* y y)) (* y y) (neg x) (/ (/ (sqrt x) y) (/ y (sqrt x))) (/ (sqrt x) y) (sqrt x) (/ y (sqrt x)))
2.0ms	y	@	-inf	((* (/ -1 (* y y)) (neg x)) (/ -1 (* y y)) (* y y) (neg x) (/ (/ (sqrt x) y) (/ y (sqrt x))) (/ (sqrt x) y) (sqrt x) (/ y (sqrt x)))
2.0ms	y	@	0	((* (/ -1 (* y y)) (neg x)) (/ -1 (* y y)) (* y y) (neg x) (/ (/ (sqrt x) y) (/ y (sqrt x))) (/ (sqrt x) y) (sqrt x) (/ y (sqrt x)))
1.0ms	y	@	inf	((* (/ -1 (* y y)) (neg x)) (/ -1 (* y y)) (* y y) (neg x) (/ (/ (sqrt x) y) (/ y (sqrt x))) (/ (sqrt x) y) (sqrt x) (/ y (sqrt x)))
1.0ms	x	@	inf	((* (/ -1 (* y y)) (neg x)) (/ -1 (* y y)) (* y y) (neg x) (/ (/ (sqrt x) y) (/ y (sqrt x))) (/ (sqrt x) y) (sqrt x) (/ y (sqrt x)))

simplify131.0ms (2.8%)

Memory

-16.4MiB live, 92.7MiB allocated

Algorithm

1×	egg-herbie

Rules

920×	`lower-*.f64`
920×	`lower-fma.f64`
920×	`lower-fma.f32`
920×	`lower-*.f32`
882×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	672
1	52	624
2	137	624
3	411	624
4	1456	624
5	2660	624
6	2896	624
7	2972	624
8	3034	624
9	3052	624
10	3065	624
11	3224	624
12	3306	624
13	3402	624
14	3459	624
15	3461	624
16	3461	624
17	3461	624
0	3461	624

Stop Event

1×	iter limit
1×	saturated

Counts

144 → 144

Calls

Call 1

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

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

rewrite90.0ms (1.9%)

Memory

22.6MiB live, 181.6MiB allocated

Rules

1 676×	`lower-*.f32`
1 672×	`lower-*.f64`
1 162×	`lower-/.f32`
1 154×	`lower-/.f64`
1 056×	`unpow-prod-down`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	37
0	19	36
1	61	33
2	346	29
3	2367	27
0	8907	27

Stop Event

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

Counts

8 → 674

Calls

Call 1

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

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

eval210.0ms (4.5%)

Memory: 8.2MiB live, 284.6MiB allocated
Compiler: Compiled 11 966 to 1 514 computations (87.3% saved)

prune96.0ms (2.1%)

Memory

-49.9MiB live, 215.2MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	888	0	888
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	888	8	896

Accuracy

100.0%

Counts

896 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(/.f64 (/.f64 (sqrt.f64 x) y) (/.f64 y (sqrt.f64 x)))
✓	99.8%	(/.f64 (/.f64 x y) y)
✓	99.7%	(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
✓	67.8%	(/.f64 (.f64 x x) (.f64 (*.f64 y x) y))
✓	89.4%	(/.f64 x (*.f64 y y))
✓	99.4%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
✓	89.1%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 y y)) (neg.f64 x))
✓	67.8%	(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y x) y)))

Compiler

Compiled 170 to 88 computations (48.2% saved)

regimes22.0ms (0.5%)

Memory

-7.2MiB live, 31.9MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

10.0ms	x
4.0ms	y
4.0ms	(*.f64 y y)
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 10 to 11 computations (-10% saved)

regimes5.0ms (0.1%)

Memory

17.6MiB live, 17.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
89.4%	1	`x`
89.4%	1	`y`
89.4%	1	`(/.f64 x (*.f64 y y))`
89.4%	1	`(*.f64 y y)`

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify38.0ms (0.8%)

Memory

16.4MiB live, 55.7MiB 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))

soundness74.0ms (1.6%)

Memory

-31.6MiB live, 48.4MiB 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 20 to 12 computations (40% saved)

preprocess42.0ms (0.9%)

Memory

5.5MiB live, 119.4MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 80 to 60 computations (25% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze9.0ms (0.2%)

sample627.0ms (13.4%)

explain44.0ms (0.9%)

preprocess48.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize12.0ms (0.3%)

series5.0ms (0.1%)

simplify3.0ms (0.1%)

rewrite76.0ms (1.6%)

eval31.0ms (0.7%)

prune94.0ms (2%)

simplify368.0ms (7.9%)

localize193.0ms (4.1%)

series147.0ms (3.1%)

simplify145.0ms (3.1%)

rewrite135.0ms (2.9%)

eval402.0ms (8.6%)

prune249.0ms (5.3%)

simplify161.0ms (3.4%)

localize90.0ms (1.9%)

series55.0ms (1.2%)

simplify146.0ms (3.1%)

rewrite208.0ms (4.4%)

eval340.0ms (7.3%)

prune209.0ms (4.5%)

simplify89.0ms (1.9%)

localize59.0ms (1.3%)

series15.0ms (0.3%)

simplify131.0ms (2.8%)

rewrite90.0ms (1.9%)

eval210.0ms (4.5%)

prune96.0ms (2.1%)

regimes22.0ms (0.5%)

regimes5.0ms (0.1%)

simplify38.0ms (0.8%)

soundness74.0ms (1.6%)

preprocess42.0ms (0.9%)

end0.0ms (0%)

Profiling