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

analyze9.0ms (0.2%)

Memory

18.0MiB live, 18.0MiB 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)

sample590.0ms (10.2%)

Memory

-16.4MiB live, 808.1MiB allocated

Samples

400.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 156.0ms

ival-mult: 91.0ms (58.4% of total)

ival-div: 57.0ms (36.6% of total)

ival-true: 5.0ms (3.2% of total)

ival-assert: 3.0ms (1.9% of total)

Bogosity

preprocess40.0ms (0.7%)

Memory

8.3MiB live, 47.4MiB 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
1	6	5
0	6	5

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ x (* y y))

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

Symmetry

(abs y)

(negabs x)

explain67.0ms (1.2%)

Memory

4.6MiB live, 58.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
36	1	(4.4370700653288597e+30 2.466619124055928e+176)	3	(2.2480072830084764e-50 8.927708678518526e-157)	`(/.f64 x (*.f64 y y))`
0	0	-	0	-	`y`
0	0	-	0	-	`(*.f64 y y)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 x (*.f64 y y))`	n/o	20	0
↳	`(*.f64 y y)`	overflow	63
`/.f64`	`(/.f64 x (*.f64 y y))`	n/u	14	0
↳	`(*.f64 y y)`	underflow	63

Confusion

	Predicted +	Predicted -
+	33	3
-	1	219

Precision

0.9705882352941176

Recall

0.9166666666666666

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	33	0	3
-	1	0	219

Precision?

0.9705882352941176

Recall?

0.9166666666666666

Freqs

test

number	freq
0	222
1	34

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 38 to 20 computations (47.4% saved)

Precisions

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

ival-mult: 4.0ms (53.9% of total)

ival-div: 3.0ms (40.5% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.5%	(/.f64 x (*.f64 y y))

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify3.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB 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×	`/-lowering-/.f32`
6×	`/-lowering-/.f64`
2×	`-lowering-.f32`
2×	`-lowering-.f64`
2×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize23.0ms (0.4%)

Memory

-18.1MiB live, 20.3MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	87.5%	(/.f64 x (*.f64 y y))

Samples

19.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

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

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

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

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

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

series4.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

2 → 36

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite126.0ms (2.2%)

Memory

-10.4MiB live, 106.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

940×	`-lowering-.f32`
940×	`-lowering-.f64`
784×	`/-lowering-/.f32`
784×	`/-lowering-/.f64`
194×	`unpow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
1	16	8
2	75	8
3	356	8
0	2133	8

Stop Event

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

Counts

2 → 147

Calls

Call 1

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

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

simplify6.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

Calls

Call 1

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

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

eval33.0ms (0.6%)

Memory: -9.1MiB live, 29.6MiB allocated
Compiler: Compiled 1 835 to 347 computations (81.1% saved)

prune50.0ms (0.9%)

Memory

13.4MiB live, 52.3MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	175	8	183
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	175	9	184

Accuracy

100.0%

Counts

184 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
▶	99.8%	(/.f64 (/.f64 x y) y)
▶	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
	69.2%	(/.f64 (neg.f64 (.f64 x x)) (.f64 (neg.f64 (*.f64 y y)) x))
	87.3%	(/.f64 x (.f64 (.f64 y (sqrt.f64 y)) (sqrt.f64 y)))
✓	87.5%	(/.f64 x (*.f64 y y))
▶	87.4%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
	99.7%	(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
▶	86.9%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)

Compiler

Compiled 163 to 100 computations (38.7% saved)

simplify10.0ms (0.2%)

Memory

16.1MiB live, 16.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 y)
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	384	(/.f64 (/.f64 x y) (sqrt.f64 y))
✓	cost-diff	1984	(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	1088	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(/.f64 (*.f64 y y) x)
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 y y))
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	384	(/.f64 (/.f64 x y) y)

Rules

124×	`-lowering-.f32`
124×	`-lowering-.f64`
110×	`associate-r`
84×	`/-lowering-/.f32`
84×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	74
1	30	74
2	45	74
3	114	74
4	231	74
5	314	74
6	315	74
7	316	74
0	316	74

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize143.0ms (2.5%)

Memory

-32.4MiB live, 86.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(sqrt.f64 y)
✓	accuracy	99.7%	(/.f64 (/.f64 x y) (sqrt.f64 y))
✓	accuracy	99.7%	(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
✓	accuracy	87.4%	(/.f64 (*.f64 y y) x)
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 y y))
✓	accuracy	87.2%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.8%	(/.f64 (/.f64 x y) y)

Samples

98.0ms

256×

valid

Compiler

Compiled 86 to 18 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-div: 79.0ms (92.7% of total)

ival-mult: 3.0ms (3.5% of total)

ival-sqrt: 3.0ms (3.5% 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

29.9MiB live, 29.9MiB allocated

Counts

13 → 264

Calls

Call 1

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

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

Calls

66 calls:

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

rewrite509.0ms (8.8%)

Memory

16.7MiB live, 405.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 050×	`-lowering-.f32`
2 050×	`-lowering-.f64`
1 806×	`/-lowering-/.f32`
1 806×	`/-lowering-/.f64`
1 256×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	55
1	87	52
2	491	52
3	2688	52
0	8859	52

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 2 003

Calls

Call 1

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

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

simplify431.0ms (7.5%)

Memory

9.0MiB live, 314.8MiB allocated

Algorithm

1×	egg-herbie

Rules

1 784×	`-lowering-.f32`
1 784×	`-lowering-.f64`
1 756×	`accelerator-lowering-fma.f32`
1 756×	`accelerator-lowering-fma.f64`
1 520×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	1212
1	43	1212
2	117	1212
3	296	1212
4	927	1212
5	2478	1212
6	3302	1212
7	4071	1212
8	4316	1212
9	4363	1212
10	4378	1212
11	4699	1212
12	5579	1212
13	5997	1212
14	6046	1212
15	6085	1212
16	6155	1212
17	6226	1212
18	6331	1212
19	6504	1212
20	6660	1212
21	7080	1212
0	8002	1212

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

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

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

eval1.2s (20%)

Memory: -25.0MiB live, 451.8MiB allocated
Compiler: Compiled 38 178 to 2 910 computations (92.4% saved)

prune299.0ms (5.2%)

Memory

-17.9MiB live, 364.5MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	2 462	4	2 466
Fresh	1	2	3
Picked	3	2	5
Done	0	1	1
Total	2 466	9	2 475

Accuracy

100.0%

Counts

2 475 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.1%	(/.f64 (/.f64 x (*.f64 y (sqrt.f64 y))) (sqrt.f64 y))
✓	99.8%	(/.f64 (/.f64 x y) y)
▶	69.2%	(/.f64 (neg.f64 (.f64 x x)) (.f64 (neg.f64 (*.f64 y y)) x))
✓	87.5%	(/.f64 x (*.f64 y y))
▶	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
▶	99.4%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
▶	87.2%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)
▶	99.7%	(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
✓	86.9%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)

Compiler

Compiled 143 to 90 computations (37.1% saved)

simplify197.0ms (3.4%)

Memory

37.4MiB live, 349.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	384	(/.f64 y (/.f64 x y))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
✓	cost-diff	0	(.f64 (neg.f64 (.f64 y y)) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(neg.f64 (*.f64 x x))
✓	cost-diff	896	(/.f64 (neg.f64 (.f64 x x)) (.f64 (neg.f64 (*.f64 y y)) x))
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(*.f64 (/.f64 y x) y)
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	320	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) y) y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	704	(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))

Rules

4 602×	`-lowering-.f32`
4 602×	`-lowering-.f64`
3 034×	`accelerator-lowering-fma.f32`
3 034×	`accelerator-lowering-fma.f64`
1 360×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	99
1	52	89
2	157	89
3	682	89
4	2765	89
5	4347	89
6	5408	89
7	5913	89
8	6255	89
9	6635	89
10	7864	89
0	8283	89

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize65.0ms (1.1%)

Memory

1.5MiB live, 116.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.8%	(/.f64 y (/.f64 x y))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
✓	accuracy	100.0%	(neg.f64 (*.f64 y y))
✓	accuracy	100.0%	(neg.f64 (*.f64 x x))
✓	accuracy	90.9%	(.f64 (neg.f64 (.f64 y y)) x)
✓	accuracy	70.2%	(/.f64 (neg.f64 (.f64 x x)) (.f64 (neg.f64 (*.f64 y y)) x))
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	99.8%	(*.f64 (/.f64 y x) y)
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) y) y)
✓	accuracy	87.2%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.7%	(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))

Samples

41.0ms

256×

valid

Compiler

Compiled 105 to 21 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-div: 16.0ms (57.8% of total)

ival-mult: 10.0ms (36.1% of total)

ival-neg: 2.0ms (7.2% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

-33.2MiB live, 9.0MiB allocated

Counts

15 → 300

Calls

Call 1

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

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

Calls

75 calls:

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

rewrite153.0ms (2.7%)

Memory

11.6MiB live, 336.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 714×	`-lowering-.f32`
1 714×	`-lowering-.f64`
1 202×	`/-lowering-/.f32`
1 202×	`/-lowering-/.f64`
1 186×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	66
1	95	64
2	548	64
0	3991	64

Stop Event

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

Counts

15 → 1 370

Calls

Call 1

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

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

simplify40.0ms (0.7%)

Memory

-12.4MiB live, 104.1MiB allocated

Algorithm

1×	egg-herbie

Rules

76×	`-lowering-.f32`
76×	`-lowering-.f64`
76×	`accelerator-lowering-fma.f32`
76×	`accelerator-lowering-fma.f64`
64×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	1356
1	30	1356
2	58	1356
3	91	1356
4	103	1356
5	128	1356
6	151	1356
7	174	1356
8	211	1356
9	227	1356
10	230	1356
0	230	1356

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

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

eval172.0ms (3%)

Memory: 43.8MiB live, 395.1MiB allocated
Compiler: Compiled 21 299 to 1 575 computations (92.6% saved)

prune85.0ms (1.5%)

Memory

-25.5MiB live, 212.8MiB allocated

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	1 753	3	1 756
Fresh	0	1	1
Picked	2	3	5
Done	0	3	3
Total	1 755	10	1 765

Accuracy

100.0%

Counts

1 765 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.1%	(/.f64 (/.f64 x (*.f64 y (sqrt.f64 y))) (sqrt.f64 y))
✓	99.8%	(/.f64 (/.f64 x y) y)
▶	69.2%	(/.f64 (.f64 x x) (.f64 x (*.f64 y y)))
✓	87.5%	(/.f64 x (*.f64 y y))
✓	99.4%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
▶	99.4%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) y) y))
✓	87.2%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)
▶	77.4%	(.f64 (/.f64 x (.f64 x (*.f64 y y))) x)
✓	99.7%	(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
✓	86.9%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)

Compiler

Compiled 94 to 57 computations (39.4% saved)

simplify198.0ms (3.4%)

Memory

1.1MiB live, 316.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 y)
✓	cost-diff	0	(*.f64 y (sqrt.f64 y))
✓	cost-diff	0	(/.f64 x (*.f64 y (sqrt.f64 y)))
✓	cost-diff	1984	(/.f64 (/.f64 x (*.f64 y (sqrt.f64 y))) (sqrt.f64 y))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(.f64 x (.f64 y y))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	640	(/.f64 (.f64 x x) (.f64 x (*.f64 y y)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) y) y)
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) x) y)
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) y) y))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(.f64 x (.f64 y y))
✓	cost-diff	320	(/.f64 x (.f64 x (.f64 y y)))
✓	cost-diff	320	(.f64 (/.f64 x (.f64 x (*.f64 y y))) x)

Rules

6 244×	`-lowering-.f32`
6 244×	`-lowering-.f64`
2 456×	`/-lowering-/.f32`
2 456×	`/-lowering-/.f64`
1 684×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	98
1	41	84
2	94	76
3	160	76
4	488	76
5	1981	76
6	2289	76
7	2523	76
8	3124	76
9	3350	76
10	3691	76
11	5465	76
12	6421	76
13	7485	76
0	8194	76

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize65.0ms (1.1%)

Memory

0.9MiB live, 106.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 y)
✓	accuracy	99.7%	(*.f64 y (sqrt.f64 y))
✓	accuracy	99.7%	(/.f64 (/.f64 x (*.f64 y (sqrt.f64 y))) (sqrt.f64 y))
✓	accuracy	86.9%	(/.f64 x (*.f64 y (sqrt.f64 y)))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	90.9%	(.f64 x (.f64 y y))
✓	accuracy	70.2%	(/.f64 (.f64 x x) (.f64 x (*.f64 y y)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.8%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) y) y)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) x) y)
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) y) y))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	90.9%	(.f64 x (.f64 y y))
✓	accuracy	90.5%	(/.f64 x (.f64 x (.f64 y y)))
✓	accuracy	87.2%	(.f64 (/.f64 x (.f64 x (*.f64 y y))) x)

Samples

41.0ms

256×

valid

Compiler

Compiled 100 to 19 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 10.0ms (47.6% of total)

ival-div: 9.0ms (42.8% of total)

ival-sqrt: 2.0ms (9.5% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

14 → 276

Calls

Call 1

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

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

Calls

69 calls:

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

rewrite352.0ms (6.1%)

Memory

-15.3MiB live, 661.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 664×	`-lowering-.f32`
3 664×	`-lowering-.f64`
2 844×	`/-lowering-/.f32`
2 844×	`/-lowering-/.f64`
1 836×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	81
1	84	57
2	465	55
3	3551	55
0	9352	55

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 1 876

Calls

Call 1

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

Outputs
(exp.f64 (log.f64 (/.f64 x (*.f64 y y))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (.f64 y y) x) (/.f64 (.f64 y y) x))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (*.f64 y y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 x) (.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1 binary64))))
(exp.f64 (+.f64 (log.f64 x) (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (-.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 #s(literal 2 binary64) (log.f64 y)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (.f64 (log.f64 (.f64 x (*.f64 y y))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (-.f64 (neg.f64 (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 y)))))
(exp.f64 (fma.f64 (log.f64 (.f64 y (/.f64 (sqrt.f64 y) x))) #s(literal -1 binary64) (.f64 (log.f64 y) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (.f64 y (/.f64 (sqrt.f64 y) x))) #s(literal -1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (.f64 y (/.f64 (sqrt.f64 y) x))) #s(literal -1 binary64) (neg.f64 (.f64 #s(literal 1/2 binary64) (log.f64 y)))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) (.f64 (log.f64 (.f64 y (/.f64 (sqrt.f64 y) x))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (log.f64 y)) #s(literal -1 binary64) (.f64 (log.f64 (*.f64 y (/.f64 (sqrt.f64 y) x))) #s(literal -1 binary64))))
(exp.f64 (+.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (log.f64 y))) (.f64 (log.f64 (*.f64 y (/.f64 (sqrt.f64 y) x))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (.f64 x (.f64 y y))) #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (+.f64 (-.f64 (neg.f64 (log.f64 x)) (.f64 #s(literal 2 binary64) (log.f64 y))) (.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (fma.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64) (*.f64 (log.f64 y) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1 binary64) (log.f64 x)))
(exp.f64 (+.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (log.f64 x)))
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 (.f64 y y) x)) #s(literal -1/2 binary64) (.f64 (log.f64 (/.f64 (*.f64 y y) x)) #s(literal -1/2 binary64))))
(exp.f64 (+.f64 (-.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 #s(literal 2 binary64) (log.f64 y))) (neg.f64 (log.f64 x))))
(exp.f64 (-.f64 (.f64 (log.f64 (.f64 y (/.f64 (sqrt.f64 y) x))) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 y))))
(exp.f64 (-.f64 (.f64 (log.f64 (.f64 x (.f64 y y))) #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 x))))
(exp.f64 (-.f64 (-.f64 (neg.f64 (log.f64 x)) (.f64 #s(literal 2 binary64) (log.f64 y))) (.f64 #s(literal -2 binary64) (log.f64 x))))
(exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (log.f64 y)))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1 binary64)) (neg.f64 (log.f64 x))))
(exp.f64 (-.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (neg.f64 (log.f64 x))))
(exp.f64 (-.f64 (-.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (.f64 #s(literal 2 binary64) (log.f64 y))) (log.f64 x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 y))) (neg.f64 (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 y (.f64 x (neg.f64 y)))) (neg.f64 (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 y y))) (neg.f64 (/.f64 x (.f64 y y))))
(neg.f64 (neg.f64 (/.f64 x (*.f64 y y))))
(neg.f64 (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 y y))) x))
(neg.f64 (/.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (*.f64 y (sqrt.f64 y))))
(/.f64 x (*.f64 y y))
(/.f64 x (.f64 (neg.f64 (.f64 y (sqrt.f64 y))) (neg.f64 (sqrt.f64 y))))
(/.f64 x (.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (.f64 y (sqrt.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 y)) (/.f64 x (sqrt.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 y (sqrt.f64 y))) (neg.f64 (/.f64 x (sqrt.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (.f64 x x) (.f64 y y))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 y y) (.f64 x x)))
(/.f64 (.f64 x x) (.f64 x (*.f64 y y)))
(/.f64 (.f64 x x) (.f64 (.f64 y (.f64 x (neg.f64 y))) #s(literal -1 binary64)))
(/.f64 (/.f64 x (*.f64 y (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y y) x)))
(/.f64 (neg.f64 (/.f64 x (*.f64 y (sqrt.f64 y)))) (neg.f64 (sqrt.f64 y)))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 y y)))
(/.f64 (neg.f64 x) (.f64 #s(literal 1 binary64) (neg.f64 (.f64 y y))))
(/.f64 (neg.f64 x) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (*.f64 x (neg.f64 y)))))
(/.f64 (.f64 x (neg.f64 x)) (.f64 y (*.f64 x (neg.f64 y))))
(/.f64 (.f64 x (neg.f64 x)) (.f64 #s(literal 1 binary64) (.f64 y (.f64 x (neg.f64 y)))))
(/.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 y (/.f64 (sqrt.f64 y) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))) (/.f64 (sqrt.f64 y) x))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 y))) (.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y)))
(/.f64 (/.f64 x y) y)
(/.f64 (/.f64 x y) (neg.f64 (neg.f64 y)))
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y))
(/.f64 (/.f64 (neg.f64 x) y) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))
(/.f64 (/.f64 (neg.f64 x) y) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (neg.f64 (*.f64 y (/.f64 (sqrt.f64 y) x))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
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(/.f64 (/.f64 (.f64 x x) (.f64 y y)) x)
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(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (/.f64 x (.f64 y (sqrt.f64 y))))) (.f64 (neg.f64 (.f64 y (sqrt.f64 y))) (-.f64 #s(literal 0 binary64) (.f64 (/.f64 x (.f64 y (sqrt.f64 y))) (/.f64 x (.f64 y (sqrt.f64 y))))))) (.f64 (neg.f64 (.f64 y (sqrt.f64 y))) (+.f64 #s(literal 0 binary64) (/.f64 x (.f64 y (sqrt.f64 y))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) x) (.f64 (neg.f64 (.f64 y (sqrt.f64 y))) (.f64 (.f64 x x) (/.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 y)))))) (.f64 (neg.f64 (.f64 y (sqrt.f64 y))) x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 x)) (.f64 (neg.f64 (.f64 y (sqrt.f64 y))) (.f64 (.f64 x (neg.f64 x)) (/.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 y)))))) (.f64 (neg.f64 (.f64 y (sqrt.f64 y))) (neg.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 1/4 binary64))) (.f64 (neg.f64 (.f64 y (sqrt.f64 y))) (/.f64 (/.f64 (neg.f64 x) y) (pow.f64 y #s(literal 1/4 binary64))))) (.f64 (neg.f64 (*.f64 y (sqrt.f64 y))) (pow.f64 y #s(literal 1/4 binary64))))
(pow.f64 (/.f64 x (*.f64 y (sqrt.f64 y))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (/.f64 (sqrt.f64 y) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 y (/.f64 x (sqrt.f64 y))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 y (/.f64 (sqrt.f64 y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 y (/.f64 (sqrt.f64 y) x)) (*.f64 y (/.f64 (sqrt.f64 y) x))) #s(literal -1/2 binary64))
(.f64 x (/.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 y))))
(.f64 #s(literal 1 binary64) (/.f64 x (.f64 y (sqrt.f64 y))))
(.f64 (.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 y))))
(.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 y)))))
(.f64 (/.f64 x (.f64 y (sqrt.f64 y))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (.f64 y (sqrt.f64 y)))))
(.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 y))))
(.f64 (neg.f64 x) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 y))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x y))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 y))) x)
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (sqrt.f64 y)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 y))) (neg.f64 x))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (/.f64 x (sqrt.f64 y))))
(.f64 (/.f64 (.f64 x x) y) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 y)))
(*.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal -5/4 binary64)))
(.f64 (/.f64 (.f64 x x) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (pow.f64 y #s(literal -5/4 binary64)) (/.f64 x (pow.f64 y #s(literal 1/4 binary64))))
(.f64 (pow.f64 (.f64 y (/.f64 (sqrt.f64 y) x)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y (/.f64 (sqrt.f64 y) x)) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 y))) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 y)) #s(literal 3 binary64)))
(exp.f64 (neg.f64 (.f64 (.f64 (log.f64 y) #s(literal 3/2 binary64)) #s(literal -1 binary64))))
(exp.f64 (-.f64 (log.f64 y) (*.f64 (log.f64 y) #s(literal -1/2 binary64))))
(exp.f64 (-.f64 (log.f64 y) (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 y)) #s(literal -1 binary64))))
(exp.f64 (-.f64 (log.f64 y) (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)))))
(exp.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (log.f64 y)) (.f64 (log.f64 y) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 y (sqrt.f64 y))))
(sqrt.f64 (.f64 (.f64 y y) y))
(sqrt.f64 (.f64 y (.f64 y y)))
(neg.f64 (neg.f64 (*.f64 y (sqrt.f64 y))))
(neg.f64 (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 3 binary64)))
(/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))))
(/.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y (sqrt.f64 y)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 y (sqrt.f64 y))) #s(literal -1 binary64))
(/.f64 (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 y #s(literal 3/2 binary64))
(pow.f64 (*.f64 y y) #s(literal 3/4 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 3 binary64))
(pow.f64 (*.f64 y (sqrt.f64 y)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 y))) #s(literal -1 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 6 binary64))
(pow.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 y y) y) #s(literal 1/2 binary64))
(pow.f64 (.f64 y (.f64 y y)) #s(literal 1/2 binary64))
(*.f64 y (sqrt.f64 y))
(.f64 #s(literal 1 binary64) (.f64 y (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) y)
(*.f64 (sqrt.f64 y) (neg.f64 (neg.f64 y)))
(.f64 (.f64 y (sqrt.f64 y)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 y (sqrt.f64 y))))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 3 binary64)))
(*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 5/4 binary64)))
(*.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 y))
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) (pow.f64 y #s(literal 3/4 binary64)))
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 1/4 binary64) (*.f64 (log.f64 y) #s(literal 1/4 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))))
(exp.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 y)) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)))))
(fabs.f64 (sqrt.f64 y))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 y)))
(sqrt.f64 y)
(neg.f64 (neg.f64 (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 (sqrt.f64 y) #s(literal 1 binary64))
(/.f64 (neg.f64 (sqrt.f64 y)) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 x))
(/.f64 (sqrt.f64 (/.f64 (.f64 x y) (.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (neg.f64 x)))
(/.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 #s(literal -1 binary64)))
(pow.f64 y #s(literal 1/2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 y))
(*.f64 #s(literal 1 binary64) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (/.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 y x)))
(*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 x))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (.f64 x y)))
(.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 y #s(literal 3/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 y #s(literal 1/4 binary64))))
(.f64 (sqrt.f64 (/.f64 y (.f64 x x))) (sqrt.f64 (*.f64 x x)))
(.f64 (sqrt.f64 (/.f64 (.f64 x y) (*.f64 x x))) (sqrt.f64 x))
(.f64 (sqrt.f64 (/.f64 (.f64 x y) (neg.f64 x))) (sqrt.f64 #s(literal -1 binary64)))
(.f64 (sqrt.f64 (/.f64 (.f64 x y) (*.f64 x (neg.f64 x)))) (sqrt.f64 (neg.f64 x)))

simplify258.0ms (4.5%)

Memory

-9.8MiB live, 307.2MiB allocated

Algorithm

1×	egg-herbie

Rules

1 776×	`-lowering-.f32`
1 776×	`-lowering-.f64`
1 656×	`accelerator-lowering-fma.f32`
1 656×	`accelerator-lowering-fma.f64`
1 384×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	1284
1	54	1284
2	152	1284
3	357	1284
4	1064	1284
5	2679	1284
6	3663	1284
7	4484	1284
8	4718	1284
9	4772	1284
10	4784	1284
11	5174	1284
12	6118	1284
13	6520	1284
14	6582	1284
15	6626	1284
16	6696	1284
17	6767	1284
18	6867	1284
19	7003	1284
20	7168	1284
21	7865	1284
0	8123	1284

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

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

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

eval285.0ms (5%)

Memory: 49.4MiB live, 628.3MiB allocated
Compiler: Compiled 34 107 to 3 294 computations (90.3% saved)

prune230.0ms (4%)

Memory

-25.1MiB live, 466.5MiB allocated

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	2 362	0	2 362
Fresh	0	0	0
Picked	0	4	4
Done	0	6	6
Total	2 362	10	2 372

Accuracy

100.0%

Counts

2 372 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.1%	(/.f64 (/.f64 x (*.f64 y (sqrt.f64 y))) (sqrt.f64 y))
✓	99.8%	(/.f64 (/.f64 x y) y)
✓	69.2%	(/.f64 (.f64 x x) (.f64 x (*.f64 y y)))
✓	87.5%	(/.f64 x (*.f64 y y))
✓	99.4%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
✓	99.4%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) y) y))
✓	87.2%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)
✓	77.4%	(.f64 (/.f64 x (.f64 x (*.f64 y y))) x)
✓	99.7%	(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
✓	86.9%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)

Compiler

Compiled 220 to 99 computations (55% saved)

regimes20.0ms (0.3%)

Memory

8.7MiB live, 47.8MiB allocated

Counts

16 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes7.0ms (0.1%)

Memory

-20.9MiB live, 18.0MiB allocated

Accuracy

Total -0.5b remaining (-5.8%)

Threshold costs -0.5b (-5.8%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
87.5%	1	`x`
87.5%	1	`y`
87.5%	1	`(/.f64 x (*.f64 y y))`
87.5%	1	`(*.f64 y y)`

Compiler

Compiled 18 to 11 computations (38.9% saved)

simplify7.0ms (0.1%)

Memory

18.4MiB live, 18.4MiB 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))

soundness67.0ms (1.2%)

Memory

-15.6MiB live, 65.6MiB allocated

Rules

940×	`-lowering-.f32`
940×	`-lowering-.f64`
784×	`/-lowering-/.f32`
784×	`/-lowering-/.f64`
194×	`unpow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
1	16	8
2	75	8
3	356	8
0	2133	8

Stop Event

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

Compiler

Compiled 19 to 10 computations (47.4% saved)

preprocess37.0ms (0.6%)

Memory

-3.0MiB live, 113.9MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 108 to 60 computations (44.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze9.0ms (0.2%)

sample590.0ms (10.2%)

preprocess40.0ms (0.7%)

explain67.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize23.0ms (0.4%)

series4.0ms (0.1%)

rewrite126.0ms (2.2%)

simplify6.0ms (0.1%)

eval33.0ms (0.6%)

prune50.0ms (0.9%)

simplify10.0ms (0.2%)

localize143.0ms (2.5%)

series15.0ms (0.3%)

rewrite509.0ms (8.8%)

simplify431.0ms (7.5%)

eval1.2s (20%)

prune299.0ms (5.2%)

simplify197.0ms (3.4%)

localize65.0ms (1.1%)

series9.0ms (0.2%)

rewrite153.0ms (2.7%)

simplify40.0ms (0.7%)

eval172.0ms (3%)

prune85.0ms (1.5%)

simplify198.0ms (3.4%)

localize65.0ms (1.1%)

series5.0ms (0.1%)

rewrite352.0ms (6.1%)

simplify258.0ms (4.5%)

eval285.0ms (5%)

prune230.0ms (4%)

regimes20.0ms (0.3%)

regimes7.0ms (0.1%)

simplify7.0ms (0.1%)

soundness67.0ms (1.2%)

preprocess37.0ms (0.6%)

end0.0ms (0%)

Profiling