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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze9.0ms (0.3%)

Memory

8.9MiB live, 8.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample643.0ms (19.4%)

Memory

11.1MiB live, 515.2MiB allocated

Samples

403.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 193.0ms

ival-div: 122.0ms (63.4% of total)

ival-mult: 61.0ms (31.7% of total)

ival-true: 6.0ms (3.1% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

explain67.0ms (2%)

Memory

-17.2MiB live, 55.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
27	-	2	(-1.5139935338062171e-294 -7.954012422831915e-160)	`(/.f64 x (*.f64 y y))`
0	-	0	-	`y`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 x (*.f64 y y))`	n/u	13	0
↳	`(*.f64 y y)`	underflow	69
`/.f64`	`(/.f64 x (*.f64 y y))`	n/o	12	0
↳	`(*.f64 y y)`	overflow	60

Confusion

	Predicted +	Predicted -
+	25	2
-	0	229

Precision

1.0

Recall

0.9259259259259259

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	25	0	2
-	0	0	229

Precision?

1.0

Recall?

0.9259259259259259

Freqs

test

number	freq
0	231
1	25

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

33.0ms

512×

valid

Compiler

Compiled 39 to 20 computations (48.7% saved)

Precisions

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

ival-mult: 4.0ms (51.1% of total)

ival-div: 3.0ms (38.3% of total)

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

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

preprocess100.0ms (3%)

Memory

-25.5MiB live, 35.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	39	27
2	105	27
3	328	27
4	837	27
5	1364	27
6	1507	27
7	1533	27
8	1551	27
9	1567	27
0	4	5
0	6	5
1	8	5
0	8	5

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

(negabs x)

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.5%	(/.f64 x (*.f64 y y))

Compiler

Compiled 5 to 4 computations (20% saved)

simplify3.0ms (0.1%)

Memory

0.3MiB live, 0.3MiB 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))

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

localize13.0ms (0.4%)

Memory

10.5MiB live, 10.5MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 y y)
accuracy	6.097787116149696	(/.f64 x (*.f64 y y))

Samples

9.0ms

256×

valid

Compiler

Compiled 22 to 10 computations (54.5% saved)

Precisions

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

ival-div: 2.0ms (54% of total)

ival-mult: 2.0ms (54% of total)

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

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

series4.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

2 → 2

Calls

Call 1

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

Outputs
(/ x (pow y 2))
(pow y 2)

Calls

6 calls:

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

simplify2.0ms (0.1%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

2 → 2

Calls

Call 1

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

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

rewrite93.0ms (2.8%)

Memory

-5.1MiB live, 68.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	18	8
2	77	8
3	362	8
0	2158	8

Stop Event

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

Counts

2 → 147

Calls

Call 1

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

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

eval37.0ms (1.1%)

Memory: 4.6MiB live, 41.3MiB allocated
Compiler: Compiled 1 533 to 352 computations (77% saved)

prune6.0ms (0.2%)

Memory

20.8MiB live, 20.8MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	141	8	149
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	141	9	150

Accuracy

100.0%

Counts

150 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
▶	99.8%	(/.f64 (/.f64 x y) y)
	99.7%	(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
▶	73.2%	(/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) (*.f64 y x))
✓	90.5%	(/.f64 x (*.f64 y y))
▶	90.4%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
▶	99.7%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y))
▶	99.6%	(*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
	99.7%	(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))

Compiler

Compiled 141 to 112 computations (20.6% saved)

simplify129.0ms (3.9%)

Memory

-27.1MiB live, 95.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 y)
cost-diff	0	(/.f64 x y)
cost-diff	0	(/.f64 (/.f64 x y) (sqrt.f64 y))
cost-diff	2304	(*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (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	640	(/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) (*.f64 y x))
cost-diff	0	(neg.f64 y)
cost-diff	0	(/.f64 (neg.f64 y) x)
cost-diff	0	(*.f64 (/.f64 (neg.f64 y) x) y)
cost-diff	448	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y))
cost-diff	0	(*.f64 y y)
cost-diff	0	(/.f64 (*.f64 y y) x)
cost-diff	320	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
cost-diff	0	(/.f64 x y)
cost-diff	0	(/.f64 (/.f64 x y) y)

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	116
0	42	98
1	82	97
2	215	95
3	673	95
4	2665	95
5	4831	95
6	6574	95
7	7250	95
8	7575	95
0	8080	95

Stop Event

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

Calls

Call 1

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

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

localize94.0ms (2.8%)

Memory

28.4MiB live, 144.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 y)
accuracy	0.125	(*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
accuracy	0.203125	(/.f64 (/.f64 x y) (sqrt.f64 y))
accuracy	0.20703125	(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(neg.f64 (*.f64 x x))
accuracy	6.771307416747095	(.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x)))
accuracy	13.888909375721287	(/.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x x))) (*.f64 y x))
accuracy	0.0	(/.f64 (neg.f64 y) x)
accuracy	0.0	(neg.f64 y)
accuracy	0.12109375	(*.f64 (/.f64 (neg.f64 y) x) y)
accuracy	0.140625	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y))
accuracy	0.0	(*.f64 y y)
accuracy	0.140625	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
accuracy	6.482944665525635	(/.f64 (*.f64 y y) x)
accuracy	0.0	(/.f64 x y)
accuracy	0.12109375	(/.f64 (/.f64 x y) y)

Samples

79.0ms

256×

valid

Compiler

Compiled 234 to 48 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-div: 46.0ms (77.4% of total)

ival-mult: 9.0ms (15.1% of total)

ival-sqrt: 2.0ms (3.4% of total)

ival-neg: 2.0ms (3.4% of total)

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

exact: 0.0ms (0% of total)

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

series56.0ms (1.7%)

Memory

9.7MiB live, 46.7MiB allocated

Counts

18 → 16

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
36.0ms	x	@	inf	((/ (/ x y) y) (/ x y) (/ 1 (/ (* y y) x)) (/ (* y y) x) (* y y) (/ -1 (* (/ (neg y) x) y)) (* (/ (neg y) x) y) (/ (neg y) x) (neg y) (/ (* (/ -1 y) (neg (* x x))) (* y x)) (* (/ -1 y) (neg (* x x))) (/ -1 y) (neg (* x x)) (* (/ (/ x y) (sqrt y)) (/ 1 (sqrt y))) (/ (/ x y) (sqrt y)) (sqrt y) (* x x) (/ 1 (sqrt y)))
5.0ms	y	@	-inf	((/ (/ x y) y) (/ x y) (/ 1 (/ (* y y) x)) (/ (* y y) x) (* y y) (/ -1 (* (/ (neg y) x) y)) (* (/ (neg y) x) y) (/ (neg y) x) (neg y) (/ (* (/ -1 y) (neg (* x x))) (* y x)) (* (/ -1 y) (neg (* x x))) (/ -1 y) (neg (* x x)) (* (/ (/ x y) (sqrt y)) (/ 1 (sqrt y))) (/ (/ x y) (sqrt y)) (sqrt y) (* x x) (/ 1 (sqrt y)))
4.0ms	y	@	0	((/ (/ x y) y) (/ x y) (/ 1 (/ (* y y) x)) (/ (* y y) x) (* y y) (/ -1 (* (/ (neg y) x) y)) (* (/ (neg y) x) y) (/ (neg y) x) (neg y) (/ (* (/ -1 y) (neg (* x x))) (* y x)) (* (/ -1 y) (neg (* x x))) (/ -1 y) (neg (* x x)) (* (/ (/ x y) (sqrt y)) (/ 1 (sqrt y))) (/ (/ x y) (sqrt y)) (sqrt y) (* x x) (/ 1 (sqrt y)))
4.0ms	x	@	0	((/ (/ x y) y) (/ x y) (/ 1 (/ (* y y) x)) (/ (* y y) x) (* y y) (/ -1 (* (/ (neg y) x) y)) (* (/ (neg y) x) y) (/ (neg y) x) (neg y) (/ (* (/ -1 y) (neg (* x x))) (* y x)) (* (/ -1 y) (neg (* x x))) (/ -1 y) (neg (* x x)) (* (/ (/ x y) (sqrt y)) (/ 1 (sqrt y))) (/ (/ x y) (sqrt y)) (sqrt y) (* x x) (/ 1 (sqrt y)))
3.0ms	y	@	inf	((/ (/ x y) y) (/ x y) (/ 1 (/ (* y y) x)) (/ (* y y) x) (* y y) (/ -1 (* (/ (neg y) x) y)) (* (/ (neg y) x) y) (/ (neg y) x) (neg y) (/ (* (/ -1 y) (neg (* x x))) (* y x)) (* (/ -1 y) (neg (* x x))) (/ -1 y) (neg (* x x)) (* (/ (/ x y) (sqrt y)) (/ 1 (sqrt y))) (/ (/ x y) (sqrt y)) (sqrt y) (* x x) (/ 1 (sqrt y)))

simplify199.0ms (6%)

Memory

-3.0MiB live, 79.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	64
1	62	64
2	147	64
3	345	64
4	1349	64
5	2761	64
6	3937	64
7	4353	64
8	4478	64
9	4516	64
10	4723	64
11	4875	64
12	5846	64
13	6042	64
14	6044	64
15	6048	64
16	6048	64
17	6048	64
18	6622	64
19	7110	64
20	7677	64
0	8073	64

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 16

Calls

Call 1

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

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

rewrite115.0ms (3.5%)

Memory

-5.3MiB live, 109.2MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	96
0	42	77
1	143	72
2	828	72
3	5744	70
0	8577	70

Stop Event

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

Counts

18 → 1 372

Calls

Call 1

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

Outputs
(.f64 (/.f64 (/.f64 x y) (.f64 y y)) y)
(.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3 binary64))) (.f64 y y))
(*.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) x)
(.f64 (.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (/.f64 x y)) (neg.f64 x))
(.f64 (.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (/.f64 x y)) x)
(.f64 (.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (neg.f64 x)) (/.f64 x y))
(.f64 (.f64 (pow.f64 (.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 x y) x))
(.f64 (.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) x) (/.f64 x y))
(.f64 (.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(.f64 (neg.f64 (pow.f64 (.f64 (pow.f64 y #s(literal -2 binary64)) x) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (sqrt.f64 y) x)) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) y))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 y) x)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 y) x)) (pow.f64 y #s(literal -3/2 binary64)))
(*.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 x (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (pow.f64 y #s(literal -3/2 binary64)) (pow.f64 y #s(literal 1/4 binary64))))
(.f64 (/.f64 (.f64 x x) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -2 binary64)) x))
(.f64 (/.f64 (.f64 x x) (sqrt.f64 y)) (/.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (sqrt.f64 y)) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 y x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (/.f64 (/.f64 x y) (neg.f64 x)) (/.f64 x y))
(.f64 (/.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -2 binary64)) x))
(.f64 (/.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -2 binary64)) x))
(*.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64)))
(.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) x) (.f64 (neg.f64 x) x))
(.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) x) (.f64 x x))
(*.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 y #s(literal -2 binary64)) x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 y #s(literal -2 binary64)) x) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) x) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (.f64 (pow.f64 y #s(literal -2 binary64)) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) x)))
(.f64 (pow.f64 y #s(literal -1/4 binary64)) (.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 x (pow.f64 y #s(literal 3/2 binary64)))))
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 1/4 binary64))))
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(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 x x))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (.f64 x x))
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(neg.f64 (*.f64 (neg.f64 x) x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 x x #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x x))
(+.f64 (*.f64 x x) #s(literal 0 binary64))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 y #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 -1/2 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/8 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 y) #s(literal -1 binary64))
(pow.f64 (*.f64 y y) #s(literal -1/4 binary64))
(pow.f64 y #s(literal -1/2 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (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)) (pow.f64 y #s(literal 1/4 binary64)))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (sqrt.f64 y))
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
(neg.f64 (pow.f64 y #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 y)) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)))

eval165.0ms (5%)

Memory: 2.7MiB live, 276.1MiB allocated
Compiler: Compiled 12 096 to 2 616 computations (78.4% saved)

prune41.0ms (1.2%)

Memory

19.8MiB live, 56.9MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	932	4	936
Fresh	1	2	3
Picked	3	2	5
Done	0	1	1
Total	936	9	945

Accuracy

100.0%

Counts

945 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.5%	(/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y)
▶	99.5%	(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
▶	73.2%	(/.f64 (/.f64 (.f64 x x) y) (.f64 y x))
✓	99.8%	(/.f64 (/.f64 x y) y)
▶	99.7%	(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
▶	69.0%	(/.f64 (.f64 x x) (.f64 (*.f64 y x) y))
✓	90.5%	(/.f64 x (*.f64 y y))
✓	90.4%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
▶	99.7%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))

Compiler

Compiled 119 to 88 computations (26.1% saved)

simplify103.0ms (3.1%)

Memory

-33.6MiB live, 125.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 y)
cost-diff	0	(/.f64 x y)
cost-diff	0	(/.f64 (/.f64 x y) (sqrt.f64 y))
cost-diff	1984	(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
cost-diff	0	(*.f64 y x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (*.f64 x x) y)
cost-diff	640	(/.f64 (/.f64 (.f64 x x) y) (.f64 y x))
cost-diff	0	(/.f64 y x)
cost-diff	0	(*.f64 (/.f64 y x) y)
cost-diff	320	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
cost-diff	0	(*.f64 y x)
cost-diff	0	(.f64 (.f64 y x) y)
cost-diff	0	(*.f64 x x)
cost-diff	256	(/.f64 (.f64 x x) (.f64 (*.f64 y x) y))
cost-diff	0	(neg.f64 y)
cost-diff	0	(/.f64 (neg.f64 y) x)
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	832	(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	104
0	38	102
1	68	102
2	126	97
3	280	87
4	693	87
5	2679	87
6	5569	87
0	8376	87

Stop Event

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

Calls

Call 1

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

localize108.0ms (3.2%)

Memory

4.7MiB live, 129.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 x y)
accuracy	0.0	(sqrt.f64 y)
accuracy	0.1484375	(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
accuracy	0.203125	(/.f64 (/.f64 x y) (sqrt.f64 y))
accuracy	0.0	(*.f64 y x)
accuracy	0.0	(*.f64 x x)
accuracy	6.755682416747095	(/.f64 (*.f64 x x) y)
accuracy	13.888909375721287	(/.f64 (/.f64 (.f64 x x) y) (.f64 y x))
accuracy	0.0	(/.f64 y x)
accuracy	0.12109375	(*.f64 (/.f64 y x) y)
accuracy	0.140625	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
accuracy	0.0	(*.f64 y x)
accuracy	0.0	(*.f64 x x)
accuracy	0.12890625	(.f64 (.f64 y x) y)
accuracy	19.25527594995468	(/.f64 (.f64 x x) (.f64 (*.f64 y x) y))
accuracy	0.0	(/.f64 (neg.f64 y) x)
accuracy	0.0	(/.f64 #s(literal -1 binary64) y)
accuracy	0.0	(neg.f64 y)
accuracy	0.18359375	(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))

Samples

92.0ms

256×

valid

Compiler

Compiled 210 to 44 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 33.0ms (63.5% of total)

ival-div: 16.0ms (30.8% of total)

ival-sqrt: 2.0ms (3.8% of total)

ival-neg: 1.0ms (1.9% of total)

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

exact: 0.0ms (0% of total)

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

series20.0ms (0.6%)

Memory

8.8MiB live, 46.1MiB allocated

Counts

17 → 15

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	((/ (/ -1 y) (/ (neg y) x)) (/ -1 y) (/ (neg y) x) (neg y) (/ (* x x) (* (* y x) y)) (* x x) (* (* y x) y) (* y x) (/ 1 (* (/ y x) y)) (* (/ y x) y) (/ y x) (/ (/ (* x x) y) (* y x)) (/ (* x x) y) (/ (/ (/ x y) (sqrt y)) (sqrt y)) (/ (/ x y) (sqrt y)) (/ x y) (sqrt y))
4.0ms	y	@	-inf	((/ (/ -1 y) (/ (neg y) x)) (/ -1 y) (/ (neg y) x) (neg y) (/ (* x x) (* (* y x) y)) (* x x) (* (* y x) y) (* y x) (/ 1 (* (/ y x) y)) (* (/ y x) y) (/ y x) (/ (/ (* x x) y) (* y x)) (/ (* x x) y) (/ (/ (/ x y) (sqrt y)) (sqrt y)) (/ (/ x y) (sqrt y)) (/ x y) (sqrt y))
3.0ms	x	@	-inf	((/ (/ -1 y) (/ (neg y) x)) (/ -1 y) (/ (neg y) x) (neg y) (/ (* x x) (* (* y x) y)) (* x x) (* (* y x) y) (* y x) (/ 1 (* (/ y x) y)) (* (/ y x) y) (/ y x) (/ (/ (* x x) y) (* y x)) (/ (* x x) y) (/ (/ (/ x y) (sqrt y)) (sqrt y)) (/ (/ x y) (sqrt y)) (/ x y) (sqrt y))
3.0ms	x	@	inf	((/ (/ -1 y) (/ (neg y) x)) (/ -1 y) (/ (neg y) x) (neg y) (/ (* x x) (* (* y x) y)) (* x x) (* (* y x) y) (* y x) (/ 1 (* (/ y x) y)) (* (/ y x) y) (/ y x) (/ (/ (* x x) y) (* y x)) (/ (* x x) y) (/ (/ (/ x y) (sqrt y)) (sqrt y)) (/ (/ x y) (sqrt y)) (/ x y) (sqrt y))
2.0ms	x	@	0	((/ (/ -1 y) (/ (neg y) x)) (/ -1 y) (/ (neg y) x) (neg y) (/ (* x x) (* (* y x) y)) (* x x) (* (* y x) y) (* y x) (/ 1 (* (/ y x) y)) (* (/ y x) y) (/ y x) (/ (/ (* x x) y) (* y x)) (/ (* x x) y) (/ (/ (/ x y) (sqrt y)) (sqrt y)) (/ (/ x y) (sqrt y)) (/ x y) (sqrt y))

simplify214.0ms (6.4%)

Memory

10.2MiB live, 94.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	58
1	56	58
2	137	58
3	312	58
4	965	58
5	2704	58
6	3756	58
7	4420	58
8	4619	58
9	4666	58
10	4678	58
11	5076	58
12	5920	58
13	6290	58
14	6359	58
15	6407	58
16	6477	58
17	6547	58
18	6684	58
19	6885	58
20	7056	58
21	7797	58
0	8425	58

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 15

Calls

Call 1

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

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

rewrite161.0ms (4.8%)

Memory

-26.3MiB live, 207.3MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	86
0	38	85
1	134	69
2	758	69
3	4482	66
0	8647	66

Stop Event

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

Counts

17 → 1 677

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 y))) (/.f64 x y))
(.f64 (/.f64 (/.f64 x y) (.f64 y y)) y)
(.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 3 binary64))) (.f64 y y))
(.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) y))
(*.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) x)
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 y) x)) (pow.f64 y #s(literal -1 binary64)))
(.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 y #s(literal -3/2 binary64)) x))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal -1 binary64)) (sqrt.f64 x))) (.f64 (pow.f64 y #s(literal -1 binary64)) (sqrt.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 y))) (pow.f64 y #s(literal -3/2 binary64)))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (/.f64 (pow.f64 y #s(literal -2 binary64)) x))
(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 (.f64 (pow.f64 y #s(literal -3/2 binary64)) x) (pow.f64 y #s(literal 1/4 binary64))))
(.f64 (/.f64 (.f64 x x) (sqrt.f64 y)) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (sqrt.f64 y)))
(.f64 (/.f64 x (neg.f64 x)) (.f64 (pow.f64 y #s(literal -2 binary64)) x))
(.f64 (/.f64 (.f64 x x) (neg.f64 x)) (pow.f64 y #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 (neg.f64 (sqrt.f64 y)) x) #s(literal -1 binary64)) (pow.f64 y #s(literal -3/2 binary64)))
(.f64 (/.f64 (.f64 (pow.f64 y #s(literal -3/2 binary64)) x) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(*.f64 (pow.f64 y #s(literal -3/4 binary64)) (/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64))))
(.f64 (/.f64 (neg.f64 x) x) (.f64 (pow.f64 y #s(literal -2 binary64)) x))
(.f64 (/.f64 (.f64 (neg.f64 x) x) x) (pow.f64 y #s(literal -2 binary64)))
(*.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64)))
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(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 (/.f64 y x) x)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (.f64 x y)) #s(literal -1 binary64) (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 (/.f64 y x) x)) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (+.f64 (log.f64 (.f64 (pow.f64 y #s(literal -2 binary64)) x)) (.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (log.f64 (.f64 (pow.f64 y #s(literal -2 binary64)) x)) (.f64 (log.f64 (sqrt.f64 y)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (log.f64 (.f64 (pow.f64 y #s(literal -2 binary64)) x)) (.f64 (log.f64 y) #s(literal 1 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (.f64 (log.f64 (.f64 x y)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1 binary64) (*.f64 (log.f64 y) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(exp.f64 (log.f64 (/.f64 x y)))
(+.f64 #s(literal 0 binary64) (/.f64 x y))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (/.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 y))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 y)))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64))
(pow.f64 y #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 y)) #s(literal -1 binary64))
(/.f64 (sqrt.f64 y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64)))
(neg.f64 (neg.f64 (sqrt.f64 y)))
(sqrt.f64 y)
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 y)))
(fabs.f64 (sqrt.f64 y))
(exp.f64 (neg.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 1/4 binary64) (*.f64 (log.f64 y) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 y)))

eval150.0ms (4.5%)

Memory: 28.8MiB live, 270.8MiB allocated
Compiler: Compiled 13 110 to 2 688 computations (79.5% saved)

prune44.0ms (1.3%)

Memory

-9.5MiB live, 65.0MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	1 074	2	1 076
Fresh	1	0	1
Picked	0	5	5
Done	0	3	3
Total	1 075	10	1 085

Accuracy

100.0%

Counts

1 085 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
✓	73.2%	(/.f64 (/.f64 (.f64 x x) y) (.f64 y x))
✓	99.8%	(/.f64 (/.f64 x y) y)
✓	99.7%	(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
▶	69.0%	(/.f64 (.f64 x x) (.f64 (*.f64 y y) x))
✓	69.0%	(/.f64 (.f64 x x) (.f64 (*.f64 y x) y))
✓	90.5%	(/.f64 x (*.f64 y y))
✓	90.4%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
✓	99.7%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
▶	99.5%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y))

Compiler

Compiled 79 to 59 computations (25.3% saved)

simplify191.0ms (5.7%)

Memory

12.1MiB live, 142.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 (.f64 y y) x)
cost-diff	0	(*.f64 x x)
cost-diff	640	(/.f64 (.f64 x x) (.f64 (*.f64 y y) x))
cost-diff	0	(/.f64 (sqrt.f64 y) x)
cost-diff	0	(.f64 (.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)
cost-diff	704	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y))
cost-diff	1600	(*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	58
0	21	60
1	41	44
2	85	40
3	157	40
4	606	40
5	2277	40
6	2528	40
7	2690	40
8	2867	40
9	3016	40
10	3168	40
11	4288	40
12	6220	40
13	6589	40
14	6751	40
15	6789	40
16	6827	40
17	6865	40
0	8190	40

Stop Event

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

Calls

Call 1

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

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

localize52.0ms (1.6%)

Memory

-33.8MiB live, 86.9MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(*.f64 x x)
accuracy	8.886226923993108	(.f64 (.f64 y y) x)
accuracy	19.25527594995468	(/.f64 (.f64 x x) (.f64 (*.f64 y y) x))
accuracy	0.12109375	(.f64 (.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)
accuracy	0.140625	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y))
accuracy	0.17578125	(/.f64 (sqrt.f64 y) x)
accuracy	0.29296875	(*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y))

Samples

41.0ms

256×

valid

Compiler

Compiled 118 to 26 computations (78% saved)

Precisions

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

ival-mult: 11.0ms (49.5% of total)

ival-div: 9.0ms (40.5% of total)

ival-sqrt: 2.0ms (9% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.4%)

Memory

-0.8MiB live, 38.1MiB allocated

Counts

8 → 11

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	y	@	-inf	((* (/ (sqrt y) x) (sqrt y)) (/ 1 (* (* (/ (sqrt y) x) (sqrt y)) y)) (* (* (/ (sqrt y) x) (sqrt y)) y) (/ (sqrt y) x) (/ (* x x) (* (* y y) x)) (* x x) (* (* y y) x) (* y y))
2.0ms	x	@	-inf	((* (/ (sqrt y) x) (sqrt y)) (/ 1 (* (* (/ (sqrt y) x) (sqrt y)) y)) (* (* (/ (sqrt y) x) (sqrt y)) y) (/ (sqrt y) x) (/ (* x x) (* (* y y) x)) (* x x) (* (* y y) x) (* y y))
2.0ms	y	@	inf	((* (/ (sqrt y) x) (sqrt y)) (/ 1 (* (* (/ (sqrt y) x) (sqrt y)) y)) (* (* (/ (sqrt y) x) (sqrt y)) y) (/ (sqrt y) x) (/ (* x x) (* (* y y) x)) (* x x) (* (* y y) x) (* y y))
2.0ms	x	@	0	((* (/ (sqrt y) x) (sqrt y)) (/ 1 (* (* (/ (sqrt y) x) (sqrt y)) y)) (* (* (/ (sqrt y) x) (sqrt y)) y) (/ (sqrt y) x) (/ (* x x) (* (* y y) x)) (* x x) (* (* y y) x) (* y y))
1.0ms	x	@	inf	((* (/ (sqrt y) x) (sqrt y)) (/ 1 (* (* (/ (sqrt y) x) (sqrt y)) y)) (* (* (/ (sqrt y) x) (sqrt y)) y) (/ (sqrt y) x) (/ (* x x) (* (* y y) x)) (* x x) (* (* y y) x) (* y y))

simplify150.0ms (4.5%)

Memory

20.3MiB live, 103.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	49
1	60	45
2	198	45
3	555	45
4	2601	45
5	4162	45
6	5172	45
7	5279	45
8	5325	45
9	5354	45
10	5420	45
11	6190	45
12	6932	45
13	7447	45
14	7495	45
15	7555	45
16	7695	45
17	7968	45
0	8003	45

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 11

Calls

Call 1

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

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

rewrite112.0ms (3.4%)

Memory

11.5MiB live, 205.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	51
0	21	53
1	68	33
2	320	33
3	2099	33
0	8441	33

Stop Event

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

Counts

8 → 695

Calls

Call 1

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

Outputs
(.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 y)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 y)))
(.f64 (.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal -1/2 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (*.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal -1/2 binary64)) (pow.f64 y #s(literal 1/4 binary64))))
(.f64 (.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal -1/2 binary64))) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal -1/2 binary64))))
(.f64 (.f64 (sqrt.f64 y) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 y) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 (sqrt.f64 y) x) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal 1/4 binary64)) x) (pow.f64 y #s(literal 3/4 binary64)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 y)) x) (neg.f64 (sqrt.f64 y)))
(.f64 (.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 y) x)))
(*.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 x y) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) y)
(*.f64 (neg.f64 (sqrt.f64 y)) (/.f64 (neg.f64 (sqrt.f64 y)) x))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y))
(.f64 x (.f64 y (pow.f64 x #s(literal -2 binary64))))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) x))
(*.f64 y (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 (/.f64 (neg.f64 (sqrt.f64 y)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))
(/.f64 (.f64 (neg.f64 y) x) (.f64 (neg.f64 x) x))
(/.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 (.f64 x y) (.f64 x x))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 x (/.f64 x y))))
(/.f64 (neg.f64 (sqrt.f64 y)) (/.f64 (neg.f64 x) (sqrt.f64 y)))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 (/.f64 (sqrt.f64 y) x) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 x (*.f64 x (/.f64 x y)))
(/.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 y)))
(/.f64 y x)
(neg.f64 (/.f64 (neg.f64 y) x))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x (/.f64 x y))) (/.f64 (neg.f64 x) (.f64 x (/.f64 x y))))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 (neg.f64 (sqrt.f64 y)) x) (pow.f64 y #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 x (sqrt.f64 y))) (/.f64 (neg.f64 y) x))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (sqrt.f64 y))) (/.f64 (neg.f64 y) x))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x))
(exp.f64 (-.f64 (log.f64 (/.f64 (sqrt.f64 y) x)) (neg.f64 (log.f64 (sqrt.f64 y)))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64)))
(exp.f64 (log.f64 (/.f64 y x)))
(.f64 (.f64 (/.f64 x y) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (/.f64 x y) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64)) (neg.f64 x)) (.f64 (pow.f64 (.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) (neg.f64 x)))
(.f64 (.f64 (neg.f64 x) (pow.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64))) (.f64 (neg.f64 x) (pow.f64 (.f64 (*.f64 y y) x) #s(literal -1/2 binary64))))
(.f64 (.f64 x (pow.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64))) (.f64 x (pow.f64 (.f64 (*.f64 y y) x) #s(literal -1/2 binary64))))
(.f64 (.f64 (sqrt.f64 x) (pow.f64 y #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal -1 binary64))))
(.f64 (pow.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (neg.f64 x) x) y) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y))
(.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
(.f64 (neg.f64 (.f64 x (/.f64 x y))) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(.f64 (.f64 (/.f64 x y) x) (pow.f64 (*.f64 x y) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 x (/.f64 x y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x y)))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 y)) y) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 x (sqrt.f64 y)) y))
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(/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) y) (sqrt.f64 y))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) x))
(/.f64 (.f64 x (/.f64 x y)) (.f64 x y))
(/.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64))))
(/.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (/.f64 x y) y)
(/.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (neg.f64 x))
(/.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) (neg.f64 (pow.f64 y #s(literal 3/2 binary64))))
(/.f64 (.f64 (neg.f64 y) y) (.f64 (.f64 (neg.f64 y) y) (.f64 (/.f64 y x) y)))
(/.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 (sqrt.f64 y) x))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y x))
(/.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) x)
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))
(/.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) x) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y))
(/.f64 (.f64 (.f64 (neg.f64 y) x) y) (.f64 (.f64 (.f64 (neg.f64 y) x) y) (.f64 (/.f64 y x) y)))
(/.f64 (.f64 (neg.f64 x) x) (.f64 (*.f64 (neg.f64 y) x) y))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y))
(/.f64 (.f64 x x) (.f64 (*.f64 y y) x))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 y) x) (/.f64 (.f64 (neg.f64 x) x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 y) (/.f64 (/.f64 x (sqrt.f64 y)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 y) x) (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 y) x) (.f64 (*.f64 x (/.f64 x y)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (neg.f64 x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
(/.f64 x (*.f64 y y))
(neg.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/2 binary64))) (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))) (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x)))
(exp.f64 (-.f64 (neg.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (neg.f64 (log.f64 x))))
(exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (log.f64 y)))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 y)) #s(literal -1 binary64)) (log.f64 (/.f64 (sqrt.f64 y) x))))
(exp.f64 (-.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (log.f64 y))) (log.f64 x)))
(exp.f64 (-.f64 (.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (log.f64 x)) #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 x))))
(exp.f64 (fma.f64 (log.f64 (.f64 (/.f64 y x) y)) #s(literal -1/2 binary64) (.f64 (log.f64 (*.f64 (/.f64 y x) y)) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64)) (log.f64 x)))
(exp.f64 (fma.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64) (*.f64 (log.f64 y) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 y)) #s(literal -1 binary64) (log.f64 (/.f64 x (sqrt.f64 y)))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))))
(exp.f64 (+.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (log.f64 y))) (neg.f64 (log.f64 x))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (log.f64 y)))))
(exp.f64 (fma.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (log.f64 x)) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (+.f64 (log.f64 (/.f64 x (sqrt.f64 y))) (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 y)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (log.f64 x)) #s(literal -1 binary64))))
(exp.f64 (+.f64 (log.f64 x) (neg.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (/.f64 y x) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 x (.f64 y y)) #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) (sqrt.f64 x))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (/.f64 x (*.f64 y y))))
(+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -3/2 binary64)))) (/.f64 x (sqrt.f64 y))))
(+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (.f64 x y))) (*.f64 x (/.f64 x y))))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 x y)))
(+.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 x (pow.f64 x #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 x) x))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))
(exp.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x x))
(.f64 (.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y))
(.f64 (.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(.f64 (neg.f64 y) (.f64 (neg.f64 y) x))
(.f64 (.f64 (neg.f64 y) y) (neg.f64 x))
(.f64 (.f64 x y) y)
(.f64 (neg.f64 x) (.f64 (neg.f64 y) y))
(.f64 (.f64 (*.f64 (neg.f64 y) x) y) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 (neg.f64 y) x) y))
(.f64 (.f64 (*.f64 y y) x) #s(literal 1 binary64))
(.f64 (.f64 y y) x)
(.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) x))
(.f64 x (.f64 y y))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (*.f64 x y)))
(.f64 y (.f64 x y))
(pow.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) x) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (.f64 (neg.f64 y) x) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 x x) (.f64 #s(literal 0 binary64) (.f64 (.f64 (neg.f64 y) x) y)))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64))) (.f64 (.f64 (neg.f64 y) x) y))
(/.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 x y) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 (neg.f64 y) x) y) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x)))
(/.f64 (.f64 (.f64 y y) x) #s(literal 1 binary64))
(/.f64 (*.f64 y y) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -2 binary64)) x))
(/.f64 x (pow.f64 y #s(literal -2 binary64)))
(neg.f64 (.f64 (.f64 (neg.f64 y) x) y))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64))) (.f64 (.f64 (neg.f64 y) x) y))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 (neg.f64 y) x) y))
(exp.f64 (-.f64 (log.f64 x) (neg.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))))
(exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (neg.f64 (log.f64 x))))
(exp.f64 (neg.f64 (*.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (log.f64 x)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (log.f64 x)))
(+.f64 #s(literal 0 binary64) (.f64 (.f64 (neg.f64 y) x) (neg.f64 y)))
(+.f64 #s(literal 0 binary64) (.f64 (neg.f64 (sqrt.f64 y)) (.f64 (sqrt.f64 y) (*.f64 (neg.f64 y) x))))
(+.f64 #s(literal 0 binary64) (.f64 (.f64 y y) x))
(.f64 (.f64 (.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 y #s(literal 1/4 binary64))) (.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 y #s(literal 1/4 binary64)))) (sqrt.f64 y))
(.f64 (.f64 (.f64 x y) (.f64 x y)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 7/4 binary64)))
(*.f64 (neg.f64 y) (neg.f64 y))
(.f64 (.f64 (neg.f64 y) y) #s(literal -1 binary64))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y))
(.f64 (.f64 x y) (/.f64 y x))
(.f64 (.f64 (*.f64 (neg.f64 y) x) y) (/.f64 #s(literal -1 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) y))
(.f64 (.f64 (*.f64 y y) x) (pow.f64 x #s(literal -1 binary64)))
(.f64 (.f64 y y) #s(literal 1 binary64))
(.f64 (.f64 x x) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 y y))
(.f64 x (.f64 (/.f64 y x) y))
(.f64 (sqrt.f64 y) (.f64 (.f64 (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 y))) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 y)))))
(*.f64 (sqrt.f64 y) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 y y)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 8 binary64))
(pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 4 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 y) x) (/.f64 (neg.f64 x) y))
(/.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))
(/.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 x y) (/.f64 x y))
(/.f64 (neg.f64 x) (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x)))
(/.f64 (.f64 (.f64 (neg.f64 y) x) y) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 y y) x) x)
(/.f64 (*.f64 y y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (/.f64 x (*.f64 y y)))
(/.f64 (sqrt.f64 y) (pow.f64 y #s(literal -3/2 binary64)))
(/.f64 y (pow.f64 y #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (/.f64 x (*.f64 y y))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 x (*.f64 y y)))))
(exp.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 y)) (neg.f64 (log.f64 (sqrt.f64 y)))))
(exp.f64 (-.f64 (log.f64 y) (*.f64 (log.f64 y) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))

eval67.0ms (2%)

Memory: -24.8MiB live, 132.8MiB allocated
Compiler: Compiled 7 341 to 1 593 computations (78.3% saved)

prune13.0ms (0.4%)

Memory

6.7MiB live, 45.7MiB allocated

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	530	0	530
Fresh	0	0	0
Picked	0	2	2
Done	0	8	8
Total	530	10	540

Accuracy

100.0%

Counts

540 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
✓	73.2%	(/.f64 (/.f64 (.f64 x x) y) (.f64 y x))
✓	99.8%	(/.f64 (/.f64 x y) y)
✓	99.7%	(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
✓	69.0%	(/.f64 (.f64 x x) (.f64 (*.f64 y y) x))
✓	69.0%	(/.f64 (.f64 x x) (.f64 (*.f64 y x) y))
✓	90.5%	(/.f64 x (*.f64 y y))
✓	90.4%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
✓	99.7%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
✓	99.5%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y))

Compiler

Compiled 206 to 104 computations (49.5% saved)

regimes18.0ms (0.5%)

Memory

7.4MiB live, 45.8MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes4.0ms (0.1%)

Memory

15.5MiB live, 15.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
90.5%	1	`x`
90.5%	1	`y`
90.5%	1	`(/.f64 x (*.f64 y y))`
90.5%	1	`(*.f64 y y)`

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify13.0ms (0.4%)

Memory

-21.2MiB live, 22.0MiB 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))

soundness72.0ms (2.2%)

Memory

4.1MiB live, 77.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	18	8
2	77	8
3	362	8
0	2158	8

Stop Event

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

Compiler

Compiled 20 to 12 computations (40% saved)

preprocess39.0ms (1.2%)

Memory

21.2MiB live, 107.9MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 80 to 60 computations (25% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze9.0ms (0.3%)

sample643.0ms (19.4%)

explain67.0ms (2%)

preprocess100.0ms (3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize13.0ms (0.4%)

series4.0ms (0.1%)

simplify2.0ms (0.1%)

rewrite93.0ms (2.8%)

eval37.0ms (1.1%)

prune6.0ms (0.2%)

simplify129.0ms (3.9%)

localize94.0ms (2.8%)

series56.0ms (1.7%)

simplify199.0ms (6%)

rewrite115.0ms (3.5%)

eval165.0ms (5%)

prune41.0ms (1.2%)

simplify103.0ms (3.1%)

localize108.0ms (3.2%)

series20.0ms (0.6%)

simplify214.0ms (6.4%)

rewrite161.0ms (4.8%)

eval150.0ms (4.5%)

prune44.0ms (1.3%)

simplify191.0ms (5.7%)

localize52.0ms (1.6%)

series15.0ms (0.4%)

simplify150.0ms (4.5%)

rewrite112.0ms (3.4%)

eval67.0ms (2%)

prune13.0ms (0.4%)

regimes18.0ms (0.5%)

regimes4.0ms (0.1%)

simplify13.0ms (0.4%)

soundness72.0ms (2.2%)

preprocess39.0ms (1.2%)

end0.0ms (0%)

Profiling