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

analyze11.0ms (0.3%)

Memory

-20.6MiB live, 17.5MiB 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)

sample501.0ms (12.5%)

Memory

22.9MiB live, 895.5MiB allocated

Samples

283.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 134.0ms

ival-mult: 66.0ms (49.2% of total)

ival-div: 59.0ms (44% of total)

ival-true: 6.0ms (4.5% of total)

ival-assert: 3.0ms (2.2% of total)

Bogosity

preprocess41.0ms (1%)

Memory

-1.5MiB live, 36.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

(negabs x)

explain50.0ms (1.2%)

Memory

-16.6MiB live, 111.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
34	-	4	(2.261146428430608e-76 3.001746781251487e-158)	`(/.f64 x (*.f64 y y))`
0	-	0	-	`y`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 x (*.f64 y y))`	n/u	16	0
↳	`(*.f64 y y)`	underflow	58
`/.f64`	`(/.f64 x (*.f64 y y))`	n/o	14	0
↳	`(*.f64 y y)`	overflow	52

Confusion

	Predicted +	Predicted -
+	30	4
-	0	222

Precision

1.0

Recall

0.8823529411764706

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	30	0	4
-	0	0	222

Precision?

1.0

Recall?

0.8823529411764706

Freqs

test

number	freq
0	226
1	30

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

23.0ms

512×

valid

Compiler

Compiled 38 to 20 computations (47.4% saved)

Precisions

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

ival-mult: 7.0ms (57.3% of total)

ival-div: 5.0ms (40.9% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.7%	(/.f64 x (*.f64 y y))

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify4.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB 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×	`lower-/.f32`
4×	`lower-/.f64`
2×	`lift-/.f64`
2×	`lift-*.f64`
2×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize15.0ms (0.4%)

Memory

2.3MiB live, 41.5MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	88.7%	(/.f64 x (*.f64 y y))

Samples

9.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

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

ival-div: 2.0ms (53.2% of total)

ival-mult: 2.0ms (53.2% of total)

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

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

series4.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

2 → 36

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
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)

rewrite175.0ms (4.4%)

Memory

-21.3MiB live, 137.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

2 → 147

Calls

Call 1

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

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

simplify5.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

Calls

Call 1

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

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

eval30.0ms (0.8%)

Memory: -2.8MiB live, 35.9MiB allocated
Compiler: Compiled 1 835 to 346 computations (81.1% saved)

prune23.0ms (0.6%)

Memory

-18.3MiB live, 62.3MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

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

Accuracy

100.0%

Counts

184 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (/.f64 x y) y)
▶	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
▶	67.5%	(/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) (*.f64 y x))
✓	88.7%	(/.f64 x (*.f64 y y))
▶	88.4%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
▶	87.8%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)

Compiler

Compiled 103 to 66 computations (35.9% saved)

simplify166.0ms (4.2%)

Memory

21.1MiB live, 296.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 (*.f64 x x))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) y)
✓	cost-diff	448	(.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x)))
✓	cost-diff	1024	(/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) (*.f64 y x))
✓	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

4 550×	`lower-*.f32`
4 540×	`lower-*.f64`
2 218×	`lower-fma.f64`
2 218×	`lower-fma.f32`
1 524×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	98
0	36	85
1	64	84
2	161	82
3	678	82
4	2679	82
5	4514	82
6	5809	82
7	6497	82
8	7096	82
0	8058	82

Stop Event

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

Calls

Call 1

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

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

localize84.0ms (2.1%)

Memory

-6.4MiB live, 153.7MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(neg.f64 (*.f64 x x))
✓	accuracy	86.6%	(.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x)))
✓	accuracy	74.1%	(/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) (*.f64 y x))
✓	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	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
✓	accuracy	88.7%	(/.f64 (*.f64 y y) x)
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (*.f64 y y))
✓	accuracy	88.1%	(.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

42.0ms

256×

valid

Compiler

Compiled 100 to 22 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-div: 16.0ms (55.9% of total)

ival-mult: 7.0ms (24.5% of total)

ival-neg: 5.0ms (17.5% of total)

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

exact: 0.0ms (0% of total)

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

series49.0ms (1.2%)

Memory

-10.0MiB live, 31.0MiB allocated

Counts

15 → 288

Calls

Call 1

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

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

Calls

72 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(* (/ -1 y) (neg (* x x)))
1.0ms	y	@	inf	(/ x y)
1.0ms	y	@	0	(* (/ -1 y) (neg (* x x)))
0.0ms	x	@	inf	(/ x y)
0.0ms	y	@	-inf	(/ y x)

rewrite224.0ms (5.6%)

Memory

34.7MiB live, 196.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 530×	`lower-*.f32`
1 520×	`lower-*.f64`
1 274×	`frac-times`
1 148×	`lower-/.f32`
1 128×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	78
0	36	65
1	119	60
2	636	60
0	4015	60

Stop Event

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

Counts

15 → 1 069

Calls

Call 1

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

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

simplify55.0ms (1.4%)

Memory

-28.9MiB live, 48.7MiB allocated

Algorithm

1×	egg-herbie

Rules

28×	`lower-+.f64`
28×	`lower-+.f32`
24×	`lower-*.f64`
24×	`lower-*.f32`
20×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	1236
1	22	1236
2	34	1236
3	38	1236
4	41	1236
5	48	1236
6	56	1236
7	66	1236
8	85	1236
9	92	1236
10	94	1236
0	94	1236

Stop Event

1×	iter limit
1×	saturated

Counts

288 → 288

Calls

Call 1

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

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

eval303.0ms (7.6%)

Memory: 37.4MiB live, 307.5MiB allocated
Compiler: Compiled 15 188 to 1 434 computations (90.6% saved)

prune209.0ms (5.2%)

Memory

3.0MiB live, 202.9MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	1 389	4	1 393
Fresh	0	0	0
Picked	2	3	5
Done	0	1	1
Total	1 391	8	1 399

Accuracy

100.0%

Counts

1 399 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 (/.f64 x y) y)
✓	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
▶	99.7%	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
▶	62.9%	(/.f64 (.f64 x x) (.f64 x (*.f64 y y)))
✓	88.7%	(/.f64 x (*.f64 y y))
▶	99.4%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
▶	88.0%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)
✓	87.8%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)

Compiler

Compiled 70 to 44 computations (37.1% saved)

simplify487.0ms (12.2%)

Memory

-15.7MiB live, 261.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

6 660×	`lower-*.f32`
6 648×	`lower-*.f64`
2 964×	`lower-pow.f64`
2 964×	`lower-pow.f32`
2 310×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	76
0	27	74
1	50	64
2	77	64
3	229	64
4	857	64
5	2265	64
6	2595	64
7	2853	64
8	3168	64
9	3600	64
10	4163	64
11	4725	64
12	4983	64
13	5257	64
14	5335	64
15	5414	64
16	5863	64
17	6849	64
18	7267	64
19	7437	64
20	7535	64
21	7615	64
22	7695	64
23	7775	64
24	7905	64
25	7985	64
0	8005	64

Stop Event

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

Calls

Call 1

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

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

localize112.0ms (2.8%)

Memory

15.8MiB live, 92.9MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.8%	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) y) x)
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	90.7%	(.f64 x (.f64 y y))
✓	accuracy	63.8%	(/.f64 (.f64 x x) (.f64 x (*.f64 y y)))
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	99.8%	(*.f64 (/.f64 y x) y)
✓	accuracy	99.4%	(/.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	88.1%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)

Samples

93.0ms

256×

valid

Compiler

Compiled 78 to 17 computations (78.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 37.0ms (78.2% of total)

ival-div: 10.0ms (21.1% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.3%)

Memory

-56.6MiB live, 8.7MiB allocated

Counts

12 → 240

Calls

Call 1

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

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

Calls

60 calls:

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

rewrite214.0ms (5.4%)

Memory

50.6MiB live, 358.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 552×	`lower-/.f32`
2 540×	`lower-/.f64`
1 852×	`lower-*.f32`
1 840×	`lower-*.f64`
1 378×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	62
0	27	60
1	89	48
2	412	48
3	2680	48
0	8863	48

Stop Event

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

Counts

12 → 1 705

Calls

Call 1

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

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

simplify25.0ms (0.6%)

Memory

-26.1MiB live, 48.9MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`lower-*.f64`
20×	`lower-*.f32`
16×	`lower-/.f32`
16×	`lower-/.f64`
8×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	1032
1	18	1032
2	25	1032
3	27	1032
0	27	1032

Stop Event

1×	iter limit
1×	saturated

Counts

240 → 240

Calls

Call 1

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

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

eval262.0ms (6.6%)

Memory: 45.7MiB live, 431.6MiB allocated
Compiler: Compiled 29 708 to 2 746 computations (90.8% saved)

prune139.0ms (3.5%)

Memory

-13.0MiB live, 382.4MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	2 019	1	2 020
Fresh	0	0	0
Picked	0	4	4
Done	0	4	4
Total	2 019	9	2 028

Accuracy

100.0%

Counts

2 028 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 (/.f64 x y) y)
✓	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓	99.7%	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
✓	62.9%	(/.f64 (.f64 x x) (.f64 x (*.f64 y y)))
✓	88.7%	(/.f64 x (*.f64 y y))
✓	99.4%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
✓	88.0%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)
▶	75.0%	(.f64 (/.f64 x (.f64 y (*.f64 y x))) x)
✓	87.8%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)

Compiler

Compiled 81 to 50 computations (38.3% saved)

simplify329.0ms (8.2%)

Memory

-31.8MiB live, 425.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(.f64 y (.f64 y x))
✓	cost-diff	320	(/.f64 x (.f64 y (.f64 y x)))
✓	cost-diff	320	(.f64 (/.f64 x (.f64 y (*.f64 y x))) x)

Rules

6 668×	`lower-*.f32`
6 662×	`lower-*.f64`
2 964×	`lower-pow.f64`
2 964×	`lower-pow.f32`
2 402×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	6	26
0	10	26
1	19	26
2	42	22
3	77	20
4	82	20
5	237	20
6	891	20
7	2258	20
8	2627	20
9	2883	20
10	3208	20
11	3628	20
12	4175	20
13	4751	20
14	5001	20
15	5276	20
16	5354	20
17	5433	20
18	5881	20
19	6870	20
20	7288	20
21	7458	20
22	7556	20
23	7636	20
24	7716	20
25	7796	20
26	7926	20
0	8006	20

Stop Event

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

Calls

Call 1

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

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

localize20.0ms (0.5%)

Memory

16.6MiB live, 55.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	99.8%	(.f64 y (.f64 y x))
✓	accuracy	88.1%	(.f64 (/.f64 x (.f64 y (*.f64 y x))) x)
✓	accuracy	87.1%	(/.f64 x (.f64 y (.f64 y x)))

Samples

13.0ms

256×

valid

Compiler

Compiled 28 to 8 computations (71.4% saved)

Precisions

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

ival-mult: 5.0ms (72.1% of total)

ival-div: 2.0ms (28.8% of total)

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

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

series2.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite201.0ms (5%)

Memory

-10.3MiB live, 235.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 786×	`lower-*.f32`
1 780×	`lower-*.f64`
1 512×	`lower-fma.f64`
1 512×	`lower-fma.f32`
1 052×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	24
0	10	24
1	27	24
2	130	16
3	813	16
4	4509	16
0	8794	16

Stop Event

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

Counts

4 → 337

Calls

Call 1

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

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

simplify9.0ms (0.2%)

Memory

-14.2MiB live, 24.0MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`lower-*.f64`
14×	`lower-*.f32`
12×	`lower-/.f32`
12×	`lower-/.f64`
4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	432
1	14	432
2	20	432
0	20	432

Stop Event

1×	iter limit
1×	saturated

Counts

96 → 96

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))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)

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

eval46.0ms (1.2%)

Memory: 1.7MiB live, 117.3MiB allocated
Compiler: Compiled 5 336 to 922 computations (82.7% saved)

prune45.0ms (1.1%)

Memory

39.3MiB live, 116.0MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	433	0	433
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	433	9	442

Accuracy

100.0%

Counts

442 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 (/.f64 x y) y)
✓	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓	99.7%	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
✓	62.9%	(/.f64 (.f64 x x) (.f64 x (*.f64 y y)))
✓	88.7%	(/.f64 x (*.f64 y y))
✓	99.4%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
✓	88.0%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)
✓	75.0%	(.f64 (/.f64 x (.f64 y (*.f64 y x))) x)
✓	87.8%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)

Compiler

Compiled 165 to 82 computations (50.3% saved)

regimes18.0ms (0.5%)

Memory

-38.2MiB live, 43.8MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	x
5.0ms	(*.f64 y y)
4.0ms	y
3.0ms	(/.f64 x (*.f64 y y))

Results

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

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes6.0ms (0.1%)

Memory

18.2MiB live, 18.2MiB allocated

Accuracy

Total -0.6b remaining (-9%)

Threshold costs -0.6b (-9%)

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:

2.0ms	y
1.0ms	x
1.0ms	(*.f64 y y)
1.0ms	(/.f64 x (*.f64 y y))

Results

Accuracy	Segments	Branch
88.7%	1	`x`
88.7%	1	`y`
88.7%	1	`(/.f64 x (*.f64 y y))`
88.7%	1	`(*.f64 y y)`

Compiler

Compiled 18 to 11 computations (38.9% saved)

simplify5.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB 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))

soundness66.0ms (1.6%)

Memory

-29.4MiB live, 86.9MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 19 to 10 computations (47.4% saved)

preprocess44.0ms (1.1%)

Memory

2.6MiB live, 120.4MiB 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

analyze11.0ms (0.3%)

sample501.0ms (12.5%)

preprocess41.0ms (1%)

explain50.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize15.0ms (0.4%)

series4.0ms (0.1%)

rewrite175.0ms (4.4%)

simplify5.0ms (0.1%)

eval30.0ms (0.8%)

prune23.0ms (0.6%)

simplify166.0ms (4.2%)

localize84.0ms (2.1%)

series49.0ms (1.2%)

rewrite224.0ms (5.6%)

simplify55.0ms (1.4%)

eval303.0ms (7.6%)

prune209.0ms (5.2%)

simplify487.0ms (12.2%)

localize112.0ms (2.8%)

series13.0ms (0.3%)

rewrite214.0ms (5.4%)

simplify25.0ms (0.6%)

eval262.0ms (6.6%)

prune139.0ms (3.5%)

simplify329.0ms (8.2%)

localize20.0ms (0.5%)

series2.0ms (0%)

rewrite201.0ms (5%)

simplify9.0ms (0.2%)

eval46.0ms (1.2%)

prune45.0ms (1.1%)

regimes18.0ms (0.5%)

regimes6.0ms (0.1%)

simplify5.0ms (0.1%)

soundness66.0ms (1.6%)

preprocess44.0ms (1.1%)

end0.0ms (0%)

Profiling