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

analyze9.0ms (0.2%)

Memory

17.1MiB live, 17.1MiB 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)

sample620.0ms (15.1%)

Memory

14.3MiB live, 763.6MiB allocated

Samples

406.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 133.0ms

ival-mult: 65.0ms (49% of total)

ival-div: 59.0ms (44.4% of total)

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

ival-assert: 3.0ms (2.3% of total)

Bogosity

preprocess46.0ms (1.1%)

Memory

-5.3MiB live, 32.6MiB 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)

explain90.0ms (2.2%)

Memory

6.7MiB live, 86.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
32	1	(2.7784478965515592e+66 4.504096636301793e+194)	1	(1.3640558987898784e-51 3.171683691945112e-157)	`(/.f64 x (*.f64 y y))`
0	0	-	0	-	`y`
0	0	-	0	-	`(*.f64 y y)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 x (*.f64 y y))`	n/o	17	0
↳	`(*.f64 y y)`	overflow	72
`/.f64`	`(/.f64 x (*.f64 y y))`	n/u	15	0
↳	`(*.f64 y y)`	underflow	57

Confusion

	Predicted +	Predicted -
+	31	1
-	1	223

Precision

0.96875

Recall

0.96875

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	31	0	1
-	1	0	223

Precision?

0.96875

Recall?

0.96875

Freqs

test

number	freq
0	224
1	32

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

44.0ms

512×

valid

Compiler

Compiled 38 to 20 computations (47.4% saved)

Precisions

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

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

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

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.6%	(/.f64 x (*.f64 y y))

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify4.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB 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

localize35.0ms (0.9%)

Memory

-7.6MiB live, 30.1MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	88.6%	(/.f64 x (*.f64 y y))

Samples

30.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

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

ival-div: 2.0ms (54.9% of total)

ival-mult: 2.0ms (54.9% of total)

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

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

series4.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB 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)

rewrite188.0ms (4.6%)

Memory

10.3MiB live, 161.9MiB 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))

simplify38.0ms (0.9%)

Memory

-26.9MiB live, 12.8MiB 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)

eval53.0ms (1.3%)

Memory: 7.6MiB live, 46.5MiB allocated
Compiler: Compiled 1 835 to 346 computations (81.1% saved)

prune68.0ms (1.7%)

Memory

-30.3MiB live, 44.6MiB 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
▶	99.6%	(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
▶	99.9%	(/.f64 (/.f64 x y) y)
▶	72.4%	(/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) (*.f64 y x))
✓	88.6%	(/.f64 x (*.f64 y y))
▶	99.7%	(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
▶	88.2%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)

Compiler

Compiled 107 to 66 computations (38.3% saved)

simplify300.0ms (7.3%)

Memory

-2.5MiB live, 231.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

4 328×	`lower-*.f32`
4 316×	`lower-*.f64`
2 736×	`lower-fma.f64`
2 736×	`lower-fma.f32`
1 812×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	102
0	36	87
1	70	86
2	170	84
3	779	84
4	2348	84
5	5002	84
6	6255	84
7	7201	84
8	7786	84
0	8027	84

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

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

localize104.0ms (2.5%)

Memory

18.6MiB live, 98.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(sqrt.f64 y)
✓	accuracy	99.7%	(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
✓	accuracy	99.7%	(/.f64 (/.f64 x y) (sqrt.f64 y))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(neg.f64 (*.f64 x x))
✓	accuracy	88.1%	(.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x)))
✓	accuracy	77.6%	(/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) (*.f64 y x))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.7%	(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	98.8%	(/.f64 #s(literal 1 binary64) (*.f64 y y))
✓	accuracy	88.9%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.9%	(/.f64 (/.f64 x y) y)

Samples

38.0ms

256×

valid

Compiler

Compiled 104 to 22 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-div: 12.0ms (49.7% of total)

ival-mult: 8.0ms (33.1% of total)

ival-sqrt: 2.0ms (8.3% of total)

ival-neg: 1.0ms (4.1% of total)

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

exact: 0.0ms (0% of total)

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

series31.0ms (0.8%)

Memory

-11.0MiB live, 27.0MiB allocated

Counts

15 → 276

Calls

Call 1

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

69 calls:

Time	Variable		Point	Expression
17.0ms	y	@	-inf	(/ (/ (/ x y) (sqrt y)) (sqrt y))
3.0ms	x	@	0	(/ (/ x y) (sqrt y))
1.0ms	y	@	inf	(/ x y)
1.0ms	y	@	-inf	(/ (/ x y) (sqrt y))
1.0ms	y	@	0	(/ (/ x y) (sqrt y))

rewrite216.0ms (5.3%)

Memory

-4.2MiB live, 191.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 160×	`lower-*.f32`
2 148×	`lower-*.f64`
1 596×	`lower-/.f32`
1 580×	`lower-/.f64`
1 324×	`frac-times`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	80
0	36	65
1	119	59
2	663	59
0	4746	59

Stop Event

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

Counts

15 → 1 246

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

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

simplify332.0ms (8.1%)

Memory

18.7MiB live, 188.5MiB allocated

Algorithm

1×	egg-herbie

Rules

2 640×	`lower-*.f64`
2 640×	`lower-*.f32`
1 872×	`lower-fma.f64`
1 872×	`lower-fma.f32`
1 604×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	1260
1	48	1260
2	126	1260
3	303	1260
4	941	1260
5	2452	1260
6	3109	1260
7	3446	1260
8	3536	1260
9	3578	1260
10	3587	1260
11	3948	1260
12	4560	1260
13	4926	1260
14	5101	1260
15	5163	1260
16	5257	1260
17	5334	1260
18	5440	1260
19	6155	1260
20	7575	1260
0	8190	1260

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

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

eval366.0ms (8.9%)

Memory: -15.9MiB live, 367.3MiB allocated
Compiler: Compiled 18 902 to 1 532 computations (91.9% saved)

prune97.0ms (2.4%)

Memory

-5.9MiB live, 202.9MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	1 686	2	1 688
Fresh	0	0	0
Picked	2	3	5
Done	0	1	1
Total	1 688	6	1 694

Accuracy

100.0%

Counts

1 694 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (/.f64 x y) y)
▶	69.5%	(/.f64 (.f64 x x) (.f64 x (*.f64 y y)))
✓	88.6%	(/.f64 x (*.f64 y y))
▶	98.9%	(/.f64 #s(literal -1 binary64) (*.f64 y (/.f64 y (neg.f64 x))))
✓	99.7%	(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
✓	88.2%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)

Compiler

Compiled 53 to 33 computations (37.7% saved)

simplify128.0ms (3.1%)

Memory

15.0MiB live, 207.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

2 536×	`lower-*.f32`
2 528×	`lower-*.f64`
1 482×	`times-frac`
1 360×	`lower-/.f32`
1 354×	`lower-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	45
0	19	44
1	38	44
2	87	42
3	193	38
4	542	38
5	3019	38
6	6399	38
0	8099	38

Stop Event

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

Calls

Call 1

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

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

localize34.0ms (0.8%)

Memory

30.9MiB live, 69.2MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	86.7%	(.f64 x (.f64 y y))
✓	accuracy	70.4%	(/.f64 (.f64 x x) (.f64 x (*.f64 y y)))
✓	accuracy	100.0%	(/.f64 y (neg.f64 x))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	99.8%	(*.f64 y (/.f64 y (neg.f64 x)))
✓	accuracy	99.0%	(/.f64 #s(literal -1 binary64) (*.f64 y (/.f64 y (neg.f64 x))))

Samples

21.0ms

256×

valid

Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 6.0ms (47.4% of total)

ival-div: 5.0ms (39.5% of total)

ival-neg: 1.0ms (7.9% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.4%)

Memory

-28.2MiB live, 12.3MiB allocated

Counts

8 → 156

Calls

Call 1

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

Calls

39 calls:

Time	Variable		Point	Expression
12.0ms	y	@	0	(* y (/ y (neg x)))
0.0ms	x	@	0	(* y (/ y (neg x)))
0.0ms	x	@	0	(/ y (neg x))
0.0ms	y	@	inf	(* y (/ y (neg x)))
0.0ms	y	@	0	(/ y (neg x))

rewrite180.0ms (4.4%)

Memory

-1.4MiB live, 360.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 954×	`lower-*.f32`
1 946×	`lower-*.f64`
1 840×	`lower-fma.f64`
1 840×	`lower-fma.f32`
1 502×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	40
0	19	39
1	63	33
2	315	33
3	2077	31
0	9111	31

Stop Event

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

Counts

8 → 1 238

Calls

Call 1

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

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

simplify22.0ms (0.5%)

Memory

-4.7MiB live, 73.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	696
1	26	696
2	46	696
3	68	696
4	90	696
5	106	696
6	124	696
7	166	696
8	209	696
9	214	696
0	214	696

Stop Event

1×	iter limit
1×	saturated

Counts

156 → 156

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

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

eval145.0ms (3.5%)

Memory: 50.3MiB live, 390.7MiB allocated
Compiler: Compiled 22 520 to 2 265 computations (89.9% saved)

prune147.0ms (3.6%)

Memory

-31.2MiB live, 416.9MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	1 393	1	1 394
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	1 394	6	1 400

Accuracy

100.0%

Counts

1 400 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (/.f64 x y) y)
▶	69.5%	(/.f64 (.f64 x x) (.f64 (*.f64 y x) y))
✓	88.6%	(/.f64 x (*.f64 y y))
✓	98.9%	(/.f64 #s(literal -1 binary64) (*.f64 y (/.f64 y (neg.f64 x))))
✓	99.7%	(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
✓	88.2%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)

Compiler

Compiled 53 to 33 computations (37.7% saved)

simplify367.0ms (9%)

Memory

5.0MiB live, 446.9MiB 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 (.f64 y x) y)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	640	(/.f64 (.f64 x x) (.f64 (*.f64 y x) y))

Rules

6 728×	`lower-*.f32`
6 722×	`lower-*.f64`
3 120×	`lower-pow.f64`
3 120×	`lower-pow.f32`
2 470×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	6	22
0	10	22
1	20	22
2	42	20
3	66	18
4	73	18
5	229	18
6	816	18
7	2164	18
8	2535	18
9	2792	18
10	3117	18
11	3531	18
12	4068	18
13	4641	18
14	4891	18
15	5168	18
16	5246	18
17	5325	18
18	5774	18
19	6768	18
20	7186	18
21	7356	18
22	7454	18
23	7534	18
24	7614	18
25	7694	18
26	7824	18
27	7904	18
0	8052	18

Stop Event

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

Calls

Call 1

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

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

localize37.0ms (0.9%)

Memory

-0.3MiB live, 39.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(.f64 (.f64 y x) y)
✓	accuracy	70.4%	(/.f64 (.f64 x x) (.f64 (*.f64 y x) y))

Samples

31.0ms

256×

valid

Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-div: 20.0ms (81.1% of total)

ival-mult: 4.0ms (16.2% of total)

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

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

series1.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Counts

4 → 84

Calls

Call 1

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

Calls

21 calls:

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

rewrite138.0ms (3.4%)

Memory

1.6MiB live, 280.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 542×	`lower-*.f32`
2 536×	`lower-*.f64`
1 474×	`lower-/.f32`
1 472×	`lower-/.f64`
524×	`frac-2neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	20
0	10	20
1	30	20
2	133	16
3	906	16
0	4931	16

Stop Event

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

Counts

4 → 281

Calls

Call 1

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

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

simplify9.0ms (0.2%)

Memory

-15.2MiB live, 23.1MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`lower-*.f64`
16×	`lower-*.f32`
6×	`lower-/.f32`
6×	`lower-/.f64`
4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	348
1	12	348
2	16	348
0	16	348

Stop Event

1×	iter limit
1×	saturated

Counts

84 → 84

Calls

Call 1

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

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

eval34.0ms (0.8%)

Memory: 17.2MiB live, 96.8MiB allocated
Compiler: Compiled 4 430 to 638 computations (85.6% saved)

prune68.0ms (1.7%)

Memory

-17.6MiB live, 114.7MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	365	0	365
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	365	6	371

Accuracy

100.0%

Counts

371 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (/.f64 x y) y)
✓	69.5%	(/.f64 (.f64 x x) (.f64 (*.f64 y x) y))
✓	88.6%	(/.f64 x (*.f64 y y))
✓	98.9%	(/.f64 #s(literal -1 binary64) (*.f64 y (/.f64 y (neg.f64 x))))
✓	99.7%	(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
✓	88.2%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x)

Compiler

Compiled 126 to 62 computations (50.8% saved)

regimes27.0ms (0.7%)

Memory

-6.8MiB live, 32.9MiB allocated

Counts

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

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

Calls

4 calls:

18.0ms	x
3.0ms	y
3.0ms	(*.f64 y y)
3.0ms	(/.f64 x (*.f64 y y))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(/.f64 x (*.f64 y y))`
99.9%	1	`(*.f64 y y)`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes6.0ms (0.1%)

Memory

19.5MiB live, 19.5MiB allocated

Accuracy

Total -0.2b remaining (-3.1%)

Threshold costs -0.2b (-3.1%)

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

Results

Accuracy	Segments	Branch
88.6%	1	`x`
88.6%	1	`y`
88.6%	1	`(/.f64 x (*.f64 y y))`
88.6%	1	`(*.f64 y y)`

Compiler

Compiled 18 to 11 computations (38.9% saved)

simplify6.0ms (0.1%)

Memory

-23.3MiB live, 16.0MiB 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))

soundness69.0ms (1.7%)

Memory

30.6MiB live, 109.9MiB 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)

preprocess65.0ms (1.6%)

Memory

-9.3MiB live, 107.5MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 108 to 60 computations (44.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	13	696
1	26	696
2	46	696
3	68	696
4	90	696
5	106	696
6	124	696
7	166	696
8	209	696
9	214	696
0	214	696

Iter	Nodes	Cost
0	13	696
1	26	696
2	46	696
3	68	696
4	90	696
5	106	696
6	124	696
7	166	696
8	209	696
9	214	696
0	214	696

analyze9.0ms (0.2%)

sample620.0ms (15.1%)

preprocess46.0ms (1.1%)

explain90.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize35.0ms (0.9%)

series4.0ms (0.1%)

rewrite188.0ms (4.6%)

simplify38.0ms (0.9%)

eval53.0ms (1.3%)

prune68.0ms (1.7%)

simplify300.0ms (7.3%)

localize104.0ms (2.5%)

series31.0ms (0.8%)

rewrite216.0ms (5.3%)

simplify332.0ms (8.1%)

eval366.0ms (8.9%)

prune97.0ms (2.4%)

simplify128.0ms (3.1%)

localize34.0ms (0.8%)

series17.0ms (0.4%)

rewrite180.0ms (4.4%)

simplify22.0ms (0.5%)

eval145.0ms (3.5%)

prune147.0ms (3.6%)

simplify367.0ms (9%)

localize37.0ms (0.9%)

series1.0ms (0%)

rewrite138.0ms (3.4%)

simplify9.0ms (0.2%)

eval34.0ms (0.8%)

prune68.0ms (1.7%)

regimes27.0ms (0.7%)

regimes6.0ms (0.1%)

simplify6.0ms (0.1%)

soundness69.0ms (1.7%)

preprocess65.0ms (1.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	696
1	26	696
2	46	696
3	68	696
4	90	696
5	106	696
6	124	696
7	166	696
8	209	696
9	214	696
0	214	696