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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze10.0ms (0.2%)

Memory

10.9MiB live, 10.9MiB 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)

sample689.0ms (16.5%)

Memory

-1.5MiB live, 632.0MiB allocated

Samples

311.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-mult: 67.0ms (52.5% of total)

ival-div: 52.0ms (40.7% of total)

ival-true: 6.0ms (4.7% of total)

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

Bogosity

explain79.0ms (1.9%)

Memory

-11.9MiB live, 62.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
39	-	2	(1.8189665413247648e-283 1.3515383412078428e-161)	`(/.f64 x (*.f64 y y))`
0	-	0	-	`y`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 x (*.f64 y y))`	n/o	24	0
↳	`(*.f64 y y)`	overflow	60
`/.f64`	`(/.f64 x (*.f64 y y))`	n/u	13	0
↳	`(*.f64 y y)`	underflow	52

Confusion

	Predicted +	Predicted -
+	37	2
-	0	217

Precision

1.0

Recall

0.9487179487179487

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	37	0	2
-	0	0	217

Precision?

1.0

Recall?

0.9487179487179487

Freqs

test

number	freq
0	219
1	37

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

19.0ms

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 (52.1% of total)

ival-div: 3.0ms (39.1% of total)

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

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

preprocess57.0ms (1.4%)

Memory

-0.6MiB live, 47.2MiB 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.0%	(/.f64 x (*.f64 y y))

Compiler

Compiled 5 to 4 computations (20% saved)

simplify2.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB 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 (0.3%)

Memory

22.8MiB live, 22.8MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 y y)
accuracy	8.971286144933634	(/.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 (55.3% of total)

ival-mult: 2.0ms (55.3% of total)

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

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

series32.0ms (0.8%)

Memory

-33.6MiB live, 5.1MiB 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
29.0ms	y	@	0	((/ x (* y y)) (* y y))
1.0ms	x	@	inf	((/ 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

2.2MiB live, 2.2MiB 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)

rewrite67.0ms (1.6%)

Memory

29.6MiB live, 67.6MiB 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))

eval33.0ms (0.8%)

Memory: -15.9MiB live, 22.5MiB allocated
Compiler: Compiled 1 533 to 352 computations (77% saved)

prune5.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	143	6	149
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	143	7	150

Accuracy

100.0%

Counts

150 → 7

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)
▶	99.6%	(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
✓	86.0%	(/.f64 x (*.f64 y y))
▶	99.6%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y))
	86.2%	(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
▶	99.7%	(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))

Compiler

Compiled 91 to 76 computations (16.5% saved)

simplify114.0ms (2.7%)

Memory

-4.4MiB live, 37.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 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	(neg.f64 y)
cost-diff	0	(/.f64 (neg.f64 y) x)
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	832	(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
cost-diff	0	(neg.f64 y)
cost-diff	0	(/.f64 (neg.f64 y) x)
cost-diff	0	(*.f64 (/.f64 (neg.f64 y) x) y)
cost-diff	448	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y))
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	0	(neg.f64 x)
cost-diff	0	(/.f64 (neg.f64 x) y)
cost-diff	448	(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
cost-diff	0	(/.f64 x y)
cost-diff	0	(/.f64 (/.f64 x y) y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	95
0	31	82
1	57	82
2	116	82
3	288	82
4	779	82
5	2470	82
6	3583	82
7	4539	82
8	4591	82
9	4596	82
10	4596	82
11	4640	82
12	4656	82
13	4656	82
14	4656	82
0	4656	82

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize98.0ms (2.4%)

Memory

-0.8MiB live, 70.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 x y)
accuracy	0.0	(sqrt.f64 y)
accuracy	0.21875	(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
accuracy	0.2265625	(/.f64 (/.f64 x y) (sqrt.f64 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	0.2584762695368841	(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
accuracy	0.0	(/.f64 (neg.f64 y) x)
accuracy	0.0	(neg.f64 y)
accuracy	0.13671875	(*.f64 (/.f64 (neg.f64 y) x) y)
accuracy	0.2210063196659862	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y))
accuracy	0.0	(/.f64 (neg.f64 x) y)
accuracy	0.0	(/.f64 #s(literal -1 binary64) y)
accuracy	0.0	(neg.f64 x)
accuracy	0.21484375	(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
accuracy	0.0	(/.f64 x y)
accuracy	0.1484375	(/.f64 (/.f64 x y) y)

Samples

56.0ms

256×

valid

Compiler

Compiled 192 to 36 computations (81.3% saved)

Precisions

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

ival-div: 17.0ms (71.2% of total)

ival-mult: 3.0ms (12.6% of total)

ival-sqrt: 2.0ms (8.4% of total)

ival-neg: 2.0ms (8.4% of total)

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

exact: 0.0ms (0% of total)

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

series19.0ms (0.5%)

Memory

28.1MiB live, 28.1MiB allocated

Counts

14 → 12

Calls

Call 1

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

Outputs
(/ x (pow y 2))
(/ x y)
(* -1 (/ x y))
(* -1 x)
(* -1 (/ (pow y 2) x))
(* -1 (/ y x))
(* x (sqrt (/ 1 (pow y 3))))
(/ -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
4.0ms	y	@	0	((/ (/ x y) y) (/ x y) (* (/ (neg x) y) (/ -1 y)) (/ (neg x) y) (neg x) (/ -1 y) (/ -1 (* (/ (neg y) x) y)) (* (/ (neg y) x) y) (/ (neg y) x) (neg y) (/ (/ -1 y) (/ (neg y) x)) (/ (/ (/ x y) (sqrt y)) (sqrt y)) (/ (/ x y) (sqrt y)) (sqrt y))
4.0ms	x	@	0	((/ (/ x y) y) (/ x y) (* (/ (neg x) y) (/ -1 y)) (/ (neg x) y) (neg x) (/ -1 y) (/ -1 (* (/ (neg y) x) y)) (* (/ (neg y) x) y) (/ (neg y) x) (neg y) (/ (/ -1 y) (/ (neg y) x)) (/ (/ (/ x y) (sqrt y)) (sqrt y)) (/ (/ x y) (sqrt y)) (sqrt y))
4.0ms	y	@	-inf	((/ (/ x y) y) (/ x y) (* (/ (neg x) y) (/ -1 y)) (/ (neg x) y) (neg x) (/ -1 y) (/ -1 (* (/ (neg y) x) y)) (* (/ (neg y) x) y) (/ (neg y) x) (neg y) (/ (/ -1 y) (/ (neg y) x)) (/ (/ (/ x y) (sqrt y)) (sqrt y)) (/ (/ x y) (sqrt y)) (sqrt y))
3.0ms	x	@	inf	((/ (/ x y) y) (/ x y) (* (/ (neg x) y) (/ -1 y)) (/ (neg x) y) (neg x) (/ -1 y) (/ -1 (* (/ (neg y) x) y)) (* (/ (neg y) x) y) (/ (neg y) x) (neg y) (/ (/ -1 y) (/ (neg y) x)) (/ (/ (/ x y) (sqrt y)) (sqrt y)) (/ (/ x y) (sqrt y)) (sqrt y))
2.0ms	y	@	inf	((/ (/ x y) y) (/ x y) (* (/ (neg x) y) (/ -1 y)) (/ (neg x) y) (neg x) (/ -1 y) (/ -1 (* (/ (neg y) x) y)) (* (/ (neg y) x) y) (/ (neg y) x) (neg y) (/ (/ -1 y) (/ (neg y) x)) (/ (/ (/ x y) (sqrt y)) (sqrt y)) (/ (/ x y) (sqrt y)) (sqrt y))

simplify203.0ms (4.8%)

Memory

-4.5MiB live, 31.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	46
1	60	46
2	147	46
3	355	46
4	1390	46
5	2751	46
6	3761	46
7	4132	46
8	4271	46
9	4314	46
10	4557	46
11	4667	46
12	5564	46
13	5808	46
14	5808	46
15	5808	46
16	6168	46
17	6465	46
18	7071	46
19	7425	46
20	7600	46
21	7831	46
0	8112	46

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 12

Calls

Call 1

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

rewrite242.0ms (5.8%)

Memory

-33.2MiB live, 181.3MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	70
0	31	56
1	112	55
2	624	55
3	3715	52
0	9202	52

Stop Event

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

Counts

14 → 2 221

Calls

Call 1

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

eval308.0ms (7.4%)

Memory: 11.2MiB live, 313.7MiB allocated
Compiler: Compiled 22 311 to 3 917 computations (82.4% saved)

prune33.0ms (0.8%)

Memory

16.7MiB live, 94.1MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	1 445	4	1 449
Fresh	1	0	1
Picked	1	4	5
Done	0	1	1
Total	1 447	9	1 456

Accuracy

100.0%

Counts

1 456 → 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)
▶	66.4%	(/.f64 (/.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal -1 binary64)) (*.f64 x y)) y)
✓	99.8%	(/.f64 (/.f64 x y) y)
✓	99.6%	(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
▶	50.6%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (/.f64 y x) (neg.f64 x))) (.f64 (/.f64 y x) (*.f64 y y)))
✓	86.0%	(/.f64 x (*.f64 y y))
✓	99.6%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y))
▶	99.5%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (/.f64 #s(literal -1 binary64) x) y) y))
✓	99.7%	(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))

Compiler

Compiled 84 to 62 computations (26.2% saved)

simplify143.0ms (3.4%)

Memory

-29.1MiB live, 142.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 y)
cost-diff	0	(/.f64 x (sqrt.f64 y))
cost-diff	0	(/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y)
cost-diff	1984	(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
cost-diff	0	(neg.f64 (*.f64 x x))
cost-diff	0	(/.f64 (/.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal -1 binary64)) (*.f64 x y)) y)
cost-diff	448	(.f64 (neg.f64 (.f64 x x)) #s(literal -1 binary64))
cost-diff	640	(/.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal -1 binary64)) (*.f64 x y))
cost-diff	320	(-.f64 (.f64 #s(literal 0 binary64) (.f64 y y)) (*.f64 (/.f64 y x) (neg.f64 x)))
cost-diff	640	(.f64 #s(literal 0 binary64) (.f64 y y))
cost-diff	1024	(*.f64 (/.f64 y x) (neg.f64 x))
cost-diff	6464	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (/.f64 y x) (neg.f64 x))) (.f64 (/.f64 y x) (*.f64 y y)))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal -1 binary64) x) y) y)
cost-diff	192	(*.f64 (/.f64 #s(literal -1 binary64) x) y)
cost-diff	448	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (/.f64 #s(literal -1 binary64) x) y) y))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	153
0	48	124
1	105	114
2	303	86
3	1384	86
4	3831	86
5	7043	86
0	8128	86

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) (.f64 (.f64 (/.f64 #s(literal -1 binary64) x) y) y))
#s(literal -1 binary64)
(.f64 (.f64 (/.f64 #s(literal -1 binary64) x) y) y)
(*.f64 (/.f64 #s(literal -1 binary64) x) y)
(/.f64 #s(literal -1 binary64) x)
x
y
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (/.f64 y x) (neg.f64 x))) (.f64 (/.f64 y x) (*.f64 y y)))
(-.f64 (.f64 #s(literal 0 binary64) (.f64 y y)) (*.f64 (/.f64 y x) (neg.f64 x)))
(.f64 #s(literal 0 binary64) (.f64 y y))
#s(literal 0 binary64)
(*.f64 y y)
y
(*.f64 (/.f64 y x) (neg.f64 x))
(/.f64 y x)
x
(neg.f64 x)
(.f64 (/.f64 y x) (.f64 y y))
(/.f64 (/.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal -1 binary64)) (*.f64 x y)) y)
(/.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal -1 binary64)) (*.f64 x y))
(.f64 (neg.f64 (.f64 x x)) #s(literal -1 binary64))
(neg.f64 (*.f64 x x))
(*.f64 x x)
x
#s(literal -1 binary64)
(*.f64 x y)
y
(/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y)
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 x (sqrt.f64 y))
x
(sqrt.f64 y)
y

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

localize259.0ms (6.2%)

Memory

0.9MiB live, 201.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 y)
accuracy	0.1484375	(/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y)
accuracy	0.234375	(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
accuracy	0.24609375	(/.f64 x (sqrt.f64 y))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(neg.f64 (*.f64 x x))
accuracy	0.1484375	(/.f64 (/.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal -1 binary64)) (*.f64 x y)) y)
accuracy	24.67807562805144	(/.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal -1 binary64)) (*.f64 x y))
accuracy	1.8956992416978085	(.f64 (/.f64 y x) (.f64 y y))
accuracy	11.583567994437027	(*.f64 (/.f64 y x) (neg.f64 x))
accuracy	12.682449620809194	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (/.f64 y x) (neg.f64 x))) (.f64 (/.f64 y x) (*.f64 y y)))
accuracy	14.76554243824885	(.f64 #s(literal 0 binary64) (.f64 y y))
accuracy	0.0	(/.f64 #s(literal -1 binary64) x)
accuracy	0.13671875	(.f64 (.f64 (/.f64 #s(literal -1 binary64) x) y) y)
accuracy	0.203125	(*.f64 (/.f64 #s(literal -1 binary64) x) y)
accuracy	0.2210063196659862	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (/.f64 #s(literal -1 binary64) x) y) y))

Samples

219.0ms

256×

valid

Compiler

Compiled 308 to 54 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-mult: 35.0ms (48.7% of total)

ival-div: 27.0ms (37.5% of total)

ival-neg: 4.0ms (5.6% of total)

ival-sqrt: 3.0ms (4.2% of total)

ival-sub: 2.0ms (2.8% 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

26.9MiB live, 26.9MiB allocated

Counts

18 → 16

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) (.f64 (.f64 (/.f64 #s(literal -1 binary64) x) y) y))
(*.f64 (/.f64 #s(literal -1 binary64) x) y)
(.f64 (.f64 (/.f64 #s(literal -1 binary64) x) y) y)
(/.f64 #s(literal -1 binary64) x)
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (/.f64 y x) (neg.f64 x))) (.f64 (/.f64 y x) (*.f64 y y)))
(*.f64 (/.f64 y x) (neg.f64 x))
(.f64 #s(literal 0 binary64) (.f64 y y))
(-.f64 (.f64 #s(literal 0 binary64) (.f64 y y)) (*.f64 (/.f64 y x) (neg.f64 x)))
(/.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal -1 binary64)) (*.f64 x y))
(.f64 (neg.f64 (.f64 x x)) #s(literal -1 binary64))
(/.f64 (/.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal -1 binary64)) (*.f64 x y)) y)
(neg.f64 (*.f64 x x))
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y)
(/.f64 x (sqrt.f64 y))
(sqrt.f64 y)
(.f64 (/.f64 y x) (.f64 y y))
(*.f64 x x)

Outputs
(/ x (pow y 2))
(* -1 (/ y x))
(* -1 (/ (pow y 2) x))
(/ -1 x)
(* -1 y)
y
(/ x y)
(pow x 2)
(* -1 (pow x 2))
(* x (sqrt (/ 1 y)))
(/ (pow y 3) x)
0
(sqrt y)
(* -1 (/ x (* y (pow (sqrt -1) 2))))
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))

Calls

6 calls:

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

simplify307.0ms (7.3%)

Memory

-18.7MiB live, 62.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	55
1	68	55
2	179	55
3	405	55
4	1902	55
5	3934	55
6	4997	55
7	5189	55
8	5267	55
9	5321	55
10	5420	55
11	6326	55
12	7090	55
13	7560	55
14	7626	55
15	7673	55
16	7771	55
17	7984	55
0	8003	55

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 15

Calls

Call 1

Inputs
(/ x (pow y 2))
(* -1 (/ y x))
(* -1 (/ (pow y 2) x))
(/ -1 x)
(* -1 y)
y
(/ x y)
(pow x 2)
(* -1 (pow x 2))
(* x (sqrt (/ 1 y)))
(/ (pow y 3) x)
0
(sqrt y)
(* -1 (/ x (* y (pow (sqrt -1) 2))))
(* -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)
(* -1 (/ (pow y 2) x))
(*.f64 (neg.f64 y) (/.f64 y x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 y)
(neg.f64 y)
y
(/ x y)
(/.f64 x y)
(pow x 2)
(*.f64 x x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* x (sqrt (/ 1 y)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) x)
(/ (pow y 3) x)
(/.f64 (pow.f64 y #s(literal 3 binary64)) x)
0
#s(literal 0 binary64)
(sqrt y)
(sqrt.f64 y)
(* -1 (/ x (* y (pow (sqrt -1) 2))))
(/.f64 x 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)

rewrite169.0ms (4%)

Memory

22.5MiB live, 61.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	131
0	48	119
1	180	92
0	1222	92

Stop Event

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

Counts

18 → 369

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) (.f64 (.f64 (/.f64 #s(literal -1 binary64) x) y) y))
(*.f64 (/.f64 #s(literal -1 binary64) x) y)
(.f64 (.f64 (/.f64 #s(literal -1 binary64) x) y) y)
(/.f64 #s(literal -1 binary64) x)
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (/.f64 y x) (neg.f64 x))) (.f64 (/.f64 y x) (*.f64 y y)))
(*.f64 (/.f64 y x) (neg.f64 x))
(.f64 #s(literal 0 binary64) (.f64 y y))
(-.f64 (.f64 #s(literal 0 binary64) (.f64 y y)) (*.f64 (/.f64 y x) (neg.f64 x)))
(/.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal -1 binary64)) (*.f64 x y))
(.f64 (neg.f64 (.f64 x x)) #s(literal -1 binary64))
(/.f64 (/.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal -1 binary64)) (*.f64 x y)) y)
(neg.f64 (*.f64 x x))
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) y)
(/.f64 x (sqrt.f64 y))
(sqrt.f64 y)
(.f64 (/.f64 y x) (.f64 y y))
(*.f64 x x)

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

eval300.0ms (7.2%)

Memory: -22.6MiB live, 56.8MiB allocated
Compiler: Compiled 5 038 to 949 computations (81.2% saved)

prune7.0ms (0.2%)

Memory

24.0MiB live, 24.0MiB allocated

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	346	4	350
Fresh	0	0	0
Picked	2	2	4
Done	1	4	5
Total	349	10	359

Accuracy

100.0%

Counts

359 → 10

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 (neg.f64 x) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))) y)
▶	66.4%	(/.f64 (/.f64 #s(approx (* (neg (* x x)) -1) (.f64 x x)) (.f64 x y)) y)
✓	99.8%	(/.f64 (/.f64 x y) y)
✓	99.6%	(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
▶	67.2%	(/.f64 (.f64 (/.f64 (.f64 (/.f64 y x) x) y) x) (*.f64 y y))
✓	86.0%	(/.f64 x (*.f64 y y))
▶	99.6%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
✓	99.5%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (/.f64 #s(literal -1 binary64) x) y) y))
✓	99.7%	(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))

Compiler

Compiled 91 to 68 computations (25.3% saved)

simplify133.0ms (3.2%)

Memory

-11.4MiB live, 104.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 x)
cost-diff	0	(/.f64 (/.f64 (neg.f64 x) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))) y)
cost-diff	256	(/.f64 (neg.f64 x) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y))))
cost-diff	1600	(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (* (neg (* x x)) -1) (*.f64 x x))
cost-diff	0	(/.f64 #s(approx (* (neg (* x x)) -1) (.f64 x x)) (.f64 x y))
cost-diff	384	(/.f64 (/.f64 #s(approx (* (neg (* x x)) -1) (.f64 x x)) (.f64 x y)) y)
cost-diff	0	(/.f64 y x)
cost-diff	320	(.f64 (/.f64 (.f64 (/.f64 y x) x) y) x)
cost-diff	704	(/.f64 (*.f64 (/.f64 y x) x) y)
cost-diff	1024	(*.f64 (/.f64 y x) 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))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	143
0	44	115
1	89	104
2	206	90
3	657	90
4	4244	90
0	8022	90

Stop Event

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

Calls

Call 1

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

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

localize133.0ms (3.2%)

Memory

-18.0MiB live, 110.1MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 (sqrt.f64 y))
accuracy	0.0	(neg.f64 x)
accuracy	0.1484375	(/.f64 (/.f64 (neg.f64 x) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))) y)
accuracy	0.4921875	(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	#s(approx (* (neg (* x x)) -1) (*.f64 x x))
accuracy	0.1484375	(/.f64 (/.f64 #s(approx (* (neg (* x x)) -1) (.f64 x x)) (.f64 x y)) y)
accuracy	24.67807562805144	(/.f64 #s(approx (* (neg (* x x)) -1) (.f64 x x)) (.f64 x y))
accuracy	0.0	(.f64 (/.f64 (.f64 (/.f64 y x) x) y) x)
accuracy	0.0	(*.f64 y y)
accuracy	8.971286144933634	(/.f64 (.f64 (/.f64 (.f64 (/.f64 y x) x) y) x) (*.f64 y y))
accuracy	11.583567994437027	(*.f64 (/.f64 y x) x)
accuracy	0.0	(/.f64 y x)
accuracy	0.13671875	(*.f64 (/.f64 y x) y)
accuracy	0.2210063196659862	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))

Samples

79.0ms

256×

valid

Compiler

Compiled 276 to 52 computations (81.2% saved)

Precisions

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

ival-div: 12.0ms (43.6% of total)

ival-mult: 11.0ms (39.9% of total)

ival-neg: 3.0ms (10.9% of total)

ival-sqrt: 2.0ms (7.3% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.3%)

Memory

25.8MiB live, 25.8MiB allocated

Counts

17 → 16

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	((/ 1 (* (/ y x) y)) (* (/ y x) y) (/ y x) (* (/ y x) x) (/ (* (/ y x) x) y) (* (/ (* (/ y x) x) y) x) (/ (/ (* (neg (* x x)) -1) (* x y)) y) (/ (* (neg (* x x)) -1) (* x y)) (* (neg (* x x)) -1) (* x x) (* (sqrt y) (neg (sqrt y))) (/ (neg x) (* (sqrt y) (neg (sqrt y)))) (/ (/ (neg x) (* (sqrt y) (neg (sqrt y)))) y) (neg x) (/ (* (/ (* (/ y x) x) y) x) (* y y)) (* y y) (neg (sqrt y)))
2.0ms	x	@	-inf	((/ 1 (* (/ y x) y)) (* (/ y x) y) (/ y x) (* (/ y x) x) (/ (* (/ y x) x) y) (* (/ (* (/ y x) x) y) x) (/ (/ (* (neg (* x x)) -1) (* x y)) y) (/ (* (neg (* x x)) -1) (* x y)) (* (neg (* x x)) -1) (* x x) (* (sqrt y) (neg (sqrt y))) (/ (neg x) (* (sqrt y) (neg (sqrt y)))) (/ (/ (neg x) (* (sqrt y) (neg (sqrt y)))) y) (neg x) (/ (* (/ (* (/ y x) x) y) x) (* y y)) (* y y) (neg (sqrt y)))
2.0ms	y	@	inf	((/ 1 (* (/ y x) y)) (* (/ y x) y) (/ y x) (* (/ y x) x) (/ (* (/ y x) x) y) (* (/ (* (/ y x) x) y) x) (/ (/ (* (neg (* x x)) -1) (* x y)) y) (/ (* (neg (* x x)) -1) (* x y)) (* (neg (* x x)) -1) (* x x) (* (sqrt y) (neg (sqrt y))) (/ (neg x) (* (sqrt y) (neg (sqrt y)))) (/ (/ (neg x) (* (sqrt y) (neg (sqrt y)))) y) (neg x) (/ (* (/ (* (/ y x) x) y) x) (* y y)) (* y y) (neg (sqrt y)))
1.0ms	x	@	inf	((/ 1 (* (/ y x) y)) (* (/ y x) y) (/ y x) (* (/ y x) x) (/ (* (/ y x) x) y) (* (/ (* (/ y x) x) y) x) (/ (/ (* (neg (* x x)) -1) (* x y)) y) (/ (* (neg (* x x)) -1) (* x y)) (* (neg (* x x)) -1) (* x x) (* (sqrt y) (neg (sqrt y))) (/ (neg x) (* (sqrt y) (neg (sqrt y)))) (/ (/ (neg x) (* (sqrt y) (neg (sqrt y)))) y) (neg x) (/ (* (/ (* (/ y x) x) y) x) (* y y)) (* y y) (neg (sqrt y)))
1.0ms	x	@	0	((/ 1 (* (/ y x) y)) (* (/ y x) y) (/ y x) (* (/ y x) x) (/ (* (/ y x) x) y) (* (/ (* (/ y x) x) y) x) (/ (/ (* (neg (* x x)) -1) (* x y)) y) (/ (* (neg (* x x)) -1) (* x y)) (* (neg (* x x)) -1) (* x x) (* (sqrt y) (neg (sqrt y))) (/ (neg x) (* (sqrt y) (neg (sqrt y)))) (/ (/ (neg x) (* (sqrt y) (neg (sqrt y)))) y) (neg x) (/ (* (/ (* (/ y x) x) y) x) (* y y)) (* y y) (neg (sqrt y)))

simplify178.0ms (4.3%)

Memory

-2.0MiB live, 79.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	45
1	46	45
2	137	45
3	325	45
4	1510	45
5	2970	45
6	3684	45
7	3817	45
8	3889	45
9	3927	45
10	4132	45
11	4908	45
12	5888	45
13	6401	45
14	6551	45
15	6831	45
16	6917	45
17	7049	45
18	7175	45
19	7328	45
0	8053	45

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 14

Calls

Call 1

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

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

rewrite157.0ms (3.8%)

Memory

9.5MiB live, 125.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	126
0	44	116
1	143	77
2	813	73
0	5267	73

Stop Event

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

Counts

17 → 1 296

Calls

Call 1

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

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

eval189.0ms (4.5%)

Memory: 1.3MiB live, 276.4MiB allocated
Compiler: Compiled 16 550 to 3 327 computations (79.9% saved)

prune26.0ms (0.6%)

Memory

-12.0MiB live, 73.6MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	1 109	3	1 112
Fresh	0	0	0
Picked	2	2	4
Done	1	5	6
Total	1 112	10	1 122

Accuracy

100.0%

Counts

1 122 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.4%	(/.f64 (/.f64 #s(approx (* (neg (* x x)) -1) (.f64 x x)) (.f64 x y)) y)
✓	99.8%	(/.f64 (/.f64 x y) y)
✓	99.6%	(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
	99.7%	(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) y)
✓	86.0%	(/.f64 x (*.f64 y y))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
✓	99.6%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
	99.3%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y))
✓	99.5%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 (/.f64 #s(literal -1 binary64) x) y) y))
✓	99.7%	(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))

Compiler

Compiled 255 to 135 computations (47.1% saved)

regimes21.0ms (0.5%)

Memory

-6.5MiB live, 32.6MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
(*.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 #s(literal -1 binary64) y) (neg.f64 x)) y)
(/.f64 #s(literal -1 binary64) (.f64 (.f64 (/.f64 #s(literal -1 binary64) x) y) y))
(/.f64 (/.f64 #s(approx (* (neg (* x x)) -1) (.f64 x x)) (.f64 x y)) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
(/.f64 (/.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal -1 binary64)) (*.f64 x y)) y)
(/.f64 (.f64 (/.f64 (.f64 (/.f64 y x) x) y) x) (*.f64 y y))
(/.f64 (/.f64 (neg.f64 x) (*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))) y)
(/.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 #s(literal 0 binary64) (.f64 y y)) (.f64 (/.f64 y x) (neg.f64 x))) (.f64 (/.f64 y x) (*.f64 y y)))
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes4.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
86.0%	1	`x`
86.0%	1	`y`
86.0%	1	`(/.f64 x (*.f64 y y))`
86.0%	1	`(*.f64 y y)`

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify9.0ms (0.2%)

Memory

-20.9MiB live, 18.3MiB 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 (1.7%)

Memory

-1.0MiB live, 79.0MiB 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×	fuel
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 20 to 12 computations (40% saved)

preprocess34.0ms (0.8%)

Memory

-1.4MiB live, 76.2MiB 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%)

analyze10.0ms (0.2%)

sample689.0ms (16.5%)

explain79.0ms (1.9%)

preprocess57.0ms (1.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify2.0ms (0.1%)

localize13.0ms (0.3%)

series32.0ms (0.8%)

simplify2.0ms (0.1%)

rewrite67.0ms (1.6%)

eval33.0ms (0.8%)

prune5.0ms (0.1%)

simplify114.0ms (2.7%)

localize98.0ms (2.4%)

series19.0ms (0.5%)

simplify203.0ms (4.8%)

rewrite242.0ms (5.8%)

eval308.0ms (7.4%)

prune33.0ms (0.8%)

simplify143.0ms (3.4%)

localize259.0ms (6.2%)

series17.0ms (0.4%)

simplify307.0ms (7.3%)

rewrite169.0ms (4%)

eval300.0ms (7.2%)

prune7.0ms (0.2%)

simplify133.0ms (3.2%)

localize133.0ms (3.2%)

series14.0ms (0.3%)

simplify178.0ms (4.3%)

rewrite157.0ms (3.8%)

eval189.0ms (4.5%)

prune26.0ms (0.6%)

regimes21.0ms (0.5%)

regimes4.0ms (0.1%)

simplify9.0ms (0.2%)

soundness72.0ms (1.7%)

preprocess34.0ms (0.8%)

end0.0ms (0%)

Profiling