Metrics for Numeric.Integration.TanhSinh:everywhere from integration-0.2.1

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.2s (19.9%)

Memory

-13.8MiB live, 739.0MiB allocated

Samples

812.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 408.0ms

ival-mult: 358.0ms (87.8% of total)

ival-add: 37.0ms (9.1% of total)

ival-true: 5.0ms (1.2% of total)

exact: 5.0ms (1.2% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain78.0ms (1.3%)

Memory

5.3MiB live, 117.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
25	-	-	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
0	-	-	`y`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 y y)`
0	-	-	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`	*no**	25	0

Confusion

	Predicted +	Predicted -
+	25	0
-	0	231

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	25	0	0
-	0	0	231

Precision?

1.0

Recall?

1.0

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

25.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 7.0ms (69.2% of total)

ival-add: 2.0ms (19.8% of total)

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

exact: 0.0ms (0% of total)

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

preprocess25.0ms (0.4%)

Memory

19.7MiB live, 19.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	37
1	65	37
2	192	35
3	476	35
4	657	35
5	769	35
6	801	35
0	6	7
0	9	7
1	19	7
2	27	7
3	49	7
4	49	7
0	49	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.8%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
cost-diff	1	(+.f64 #s(literal 1 binary64) (*.f64 y y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	19	18
2	27	18
3	49	18
4	49	18
0	49	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize37.0ms (0.6%)

Memory

-40.8MiB live, 12.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy	0.0	(*.f64 y y)
accuracy	5.856591642932189	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

Samples

31.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (60.7% of total)

ival-add: 1.0ms (20.2% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

1.8MiB live, 1.8MiB allocated

Counts

3 → 9

Calls

Call 1

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

Outputs
(* x (+ 1 (pow y 2)))
1
(+ 1 (pow y 2))
x
(+ x (* x (pow y 2)))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))

Calls

6 calls:

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

simplify213.0ms (3.7%)

Memory

-0.3MiB live, 194.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	42	41
2	74	41
3	212	41
4	702	41
5	1925	41
6	2604	41
7	3692	41
8	5035	41
9	5933	41
10	6892	41
11	7235	41
12	7350	41
13	7427	41
14	7496	41
15	7643	41
0	8184	36

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 8

Calls

Call 1

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

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

rewrite153.0ms (2.6%)

Memory

5.9MiB live, 282.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	34	15
2	209	15
3	1409	15
0	8238	13

Stop Event

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

Counts

3 → 364

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y y))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y y))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y))) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (fma.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 18 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y))) #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 18 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y y))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))))) (pow.f64 (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) (+.f64 (pow.f64 y #s(literal 18 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y))) #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y))))
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(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)))) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y y)))) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)))) (.f64 (/.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)))) (fma.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y y)))) (.f64 (/.f64 (.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y y)))) (.f64 (.f64 (/.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)))) (.f64 (/.f64 (.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) x)) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))) x)) (neg.f64 (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (.f64 y y)) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 x (*.f64 y y)) x)))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 x (.f64 y y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 y y)) (-.f64 (.f64 x (.f64 y y)) x) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)))) (.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (pow.f64 (.f64 x (.f64 y y)) #s(literal 2 binary64)))) (.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)))))
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) x) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y y))))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))) x) (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y y))))
(/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 y y)) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (.f64 x (*.f64 y y)) x))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x)) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y y))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x)) (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 x (.f64 y y)) #s(literal 2 binary64)))) (neg.f64 (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 x x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 x (.f64 y y)) (-.f64 (.f64 x (.f64 y y)) x) (*.f64 x x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (.f64 y y)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 x (.f64 y y)) #s(literal 2 binary64))) (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 x x) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 y y)) (-.f64 (.f64 x (.f64 y y)) x) (*.f64 x x)))
(/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y y))) (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y y))) (.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) (*.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (.f64 y y)) x) (-.f64 (pow.f64 (.f64 x (.f64 y y)) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 x x) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(fma.f64 (/.f64 (.f64 x x) x) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64)) (neg.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))))
(fma.f64 (/.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (neg.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y y))))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 y y))) (neg.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))))
(fma.f64 (*.f64 x y) y x)
(fma.f64 (.f64 x x) (pow.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) #s(literal -1 binary64)) (neg.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y y))))))
(fma.f64 (.f64 x (.f64 y y)) #s(literal 1 binary64) x)
(fma.f64 x (*.f64 y y) x)
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 y y)))
(fma.f64 (*.f64 y y) x x)
(fma.f64 y (*.f64 x y) x)
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 y y)) x)
(fma.f64 #s(literal 1 binary64) x (.f64 x (.f64 y y)))
(-.f64 (/.f64 (pow.f64 (.f64 x (.f64 y y)) #s(literal 2 binary64)) (-.f64 (.f64 x (.f64 y y)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 x (*.f64 y y)) x)))
(-.f64 (.f64 (/.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)))) (.f64 (/.f64 (.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(+.f64 (.f64 (/.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)))) (neg.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))))
(+.f64 (.f64 x (.f64 y y)) x)
(+.f64 x (.f64 x (.f64 y y)))
(.f64 (.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
(.f64 #s(literal 1 binary64) (.f64 y y))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(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)))

eval66.0ms (1.1%)

Memory: 28.8MiB live, 67.2MiB allocated
Compiler: Compiled 9 299 to 1 115 computations (88% saved)

prune29.0ms (0.5%)

Memory

-19.4MiB live, 19.4MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	365	4	369
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	366	4	370

Accuracy

99.9%

Counts

370 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.8%	(fma.f64 (*.f64 y y) x x)
▶	99.8%	(fma.f64 (*.f64 x y) y x)
▶	51.3%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
▶	44.0%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))

Compiler

Compiled 34 to 25 computations (26.5% saved)

simplify4.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 (*.f64 y y) x x)
cost-diff	0	(*.f64 x y)
cost-diff	0	(fma.f64 (*.f64 x y) y x)
cost-diff	0	#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
cost-diff	0	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 (.f64 y y) x)
cost-diff	0	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	63
0	21	62
1	38	62
2	38	62
3	63	62
4	63	62
0	63	60

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
(.f64 (.f64 y y) x)
(*.f64 y y)
y
x
(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
x
#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (*.f64 x y) y x)
(*.f64 x y)
x
y
(fma.f64 (*.f64 y y) x x)
(*.f64 y y)
y
x

Outputs
#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
(.f64 (.f64 y y) x)
(*.f64 y y)
y
x
(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
(.f64 #s(approx (+ 1 ( y y)) #s(literal 1 binary64)) x)
x
#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (*.f64 x y) y x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 x y)
(*.f64 y x)
x
y
(fma.f64 (*.f64 y y) x x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 y y)
y
x

localize31.0ms (0.5%)

Memory

10.8MiB live, 47.6MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y y)
accuracy	5.856591642932189	(fma.f64 (*.f64 y y) x x)
accuracy	0.0	(*.f64 x y)
accuracy	0.09765625	(fma.f64 (*.f64 x y) y x)
accuracy	5.856591642932189	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
accuracy	31.388968679222867	#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
accuracy	0.0	(*.f64 y y)
accuracy	7.874122778371161	(.f64 (.f64 y y) x)
accuracy	29.94288235929481	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))

Samples

23.0ms

256×

valid

Compiler

Compiled 57 to 13 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 11.0ms (75.5% of total)

ival-add: 3.0ms (20.6% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

8 → 11

Calls

Call 1

Inputs
#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
(.f64 (.f64 y y) x)
(*.f64 y y)
(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
(fma.f64 (*.f64 x y) y x)
(*.f64 x y)
(fma.f64 (*.f64 y y) x x)

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

Calls

6 calls:

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

simplify103.0ms (1.8%)

Memory

-22.3MiB live, 78.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	51
1	58	51
2	121	51
3	356	51
4	1495	51
5	4684	51
6	7333	51
0	8045	45

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 10

Calls

Call 1

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

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

rewrite160.0ms (2.8%)

Memory

11.6MiB live, 160.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	52
0	21	51
1	78	51
2	364	51
3	3010	51
0	8226	49

Stop Event

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

Counts

8 → 353

Calls

Call 1

Inputs
#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
(.f64 (.f64 y y) x)
(*.f64 y y)
(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
(fma.f64 (*.f64 x y) y x)
(*.f64 x y)
(fma.f64 (*.f64 y y) x x)

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

eval34.0ms (0.6%)

Memory: -9.3MiB live, 29.0MiB allocated
Compiler: Compiled 4 663 to 559 computations (88% saved)

prune5.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	205	3	208
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	206	6	212

Accuracy

100.0%

Counts

212 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	42.0%	(fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (/.f64 (.f64 y y) (.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))))))
▶	42.7%	(fma.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) (/.f64 (.f64 y x) (.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))))))
✓	90.8%	(fma.f64 (*.f64 y y) x x)
✓	51.3%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
✓	44.0%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
▶	53.1%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))

Compiler

Compiled 95 to 58 computations (38.9% saved)

simplify134.0ms (2.3%)

Memory

7.3MiB live, 163.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y x)
cost-diff	0	(pow.f64 (*.f64 y x) #s(literal 2 binary64))
cost-diff	4	(/.f64 (.f64 x x) (.f64 x (fma.f64 y y #s(literal -1 binary64))))
cost-diff	11	(fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (/.f64 (.f64 y y) (.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))))))
cost-diff	0	(*.f64 (pow.f64 y #s(literal 3 binary64)) x)
cost-diff	4	(/.f64 (.f64 x x) (.f64 x (fma.f64 y y #s(literal -1 binary64))))
cost-diff	4	(/.f64 (.f64 y x) (.f64 x (fma.f64 y y #s(literal -1 binary64))))
cost-diff	7	(fma.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) (/.f64 (.f64 y x) (.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))))))
cost-diff	0	(*.f64 y x)
cost-diff	0	(.f64 (.f64 y x) y)
cost-diff	0	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	195
0	42	195
1	104	165
2	320	149
3	1674	145
4	4877	145
0	8090	144

Stop Event

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

Calls

Call 1

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

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

localize82.0ms (1.4%)

Memory

-26.9MiB live, 131.1MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	5.856591642932189	(*.f64 x (fma.f64 y y #s(literal -1 binary64)))
accuracy	6.041195911635178	(fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (/.f64 (.f64 y y) (.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))))))
accuracy	22.899890133528306	(/.f64 (.f64 x x) (.f64 x (fma.f64 y y #s(literal -1 binary64))))
accuracy	23.271589952478273	(/.f64 (.f64 y y) (.f64 x (fma.f64 y y #s(literal -1 binary64))))
accuracy	6.550974088970617	(fma.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) (/.f64 (.f64 y x) (.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))))))
accuracy	7.035745047916981	(*.f64 (pow.f64 y #s(literal 3 binary64)) x)
accuracy	19.917528751161598	(/.f64 (.f64 y x) (.f64 x (fma.f64 y y #s(literal -1 binary64))))
accuracy	22.899890133528306	(/.f64 (.f64 x x) (.f64 x (fma.f64 y y #s(literal -1 binary64))))
accuracy	0.0	(*.f64 y x)
accuracy	0.1640625	(.f64 (.f64 y x) y)
accuracy	29.94288235929481	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))

Samples

61.0ms

256×

valid

Compiler

Compiled 207 to 27 computations (87% saved)

Precisions

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

ival-add: 21.0ms (45% of total)

ival-mult: 15.0ms (32.1% of total)

ival-div: 4.0ms (8.6% of total)

ival-pow: 3.0ms (6.4% of total)

ival-pow2: 2.0ms (4.3% of total)

ival-neg: 1.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.4%)

Memory

28.4MiB live, 28.4MiB allocated

Counts

11 → 45

Calls

Call 1

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

Outputs
(* x (+ 1 (pow y 2)))
(* x (pow y 2))
(* x y)
(* x (- (/ (pow y 4) (- (pow y 2) 1)) (/ 1 (- (pow y 2) 1))))
(/ y (- (pow y 2) 1))
(/ x (- (pow y 2) 1))
(* x (pow y 3))
(* (pow x 2) (pow y 2))
(/ (pow y 2) (* x (- (pow y 2) 1)))
(* x (- (pow y 2) 1))
(* -1 (* x (+ (* -1 (/ (pow y 4) (- (pow y 2) 1))) (/ 1 (- (pow y 2) 1)))))
x
(+ x (* x (pow y 2)))
(- (* x (pow y 2)) (* -1 x))
(- (* (pow y 2) (+ x (* (pow y 2) (+ x (* -1 x))))) (* -1 x))
(* -1 y)
(* y (- (* -1 (pow y 2)) 1))
(* y (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1)) 1))
(* -1 x)
(+ (* -1 x) (* -1 (* x (pow y 2))))
(+ (* -1 x) (* (pow y 2) (- (* -1 (* x (pow y 2))) x)))
(+ (* -1 x) (* (pow y 2) (- (* (pow y 2) (- (* -1 (* x (pow y 2))) x)) x)))
(* -1 (/ (pow y 2) x))
(* (pow y 2) (- (* -1 (/ (pow y 2) x)) (/ 1 x)))
(* (pow y 2) (- (* (pow y 2) (- (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x)))
(* (pow y 2) (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x)))
(+ (* -1 x) (* x (pow y 2)))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (- (+ x (* -1 (/ (+ x (* -1 x)) (pow y 4)))) (* -1 (/ x (pow y 2)))))
(/ 1 y)
(/ (+ 1 (/ 1 (pow y 2))) y)
(/ (+ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4)))) y)
(/ (+ 1 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))) y)
(/ x (pow y 2))
(/ (+ x (/ x (pow y 2))) (pow y 2))
(/ (- (+ x (/ x (pow y 4))) (* -1 (/ x (pow y 2)))) (pow y 2))
(/ (- (+ x (/ x (pow y 6))) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 4))))) (pow y 2))
(/ 1 x)
(+ (/ 1 x) (/ 1 (* x (pow y 2))))
(+ (/ 1 x) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 4)))))
(+ (/ 1 x) (+ (/ 1 (* x (pow y 2))) (+ (/ 1 (* x (pow y 4))) (/ 1 (* x (pow y 6))))))
(* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) 1) y))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 4))) (+ 1 (/ 1 (pow y 2)))) y))

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	((* x (+ 1 (* y y))) (* (* y x) y) (* y x) (+ (* (* (pow y 3) x) (/ (* y x) (* x (+ (* y y) -1)))) (neg (/ (* x x) (* x (+ (* y y) -1))))) (/ (* y x) (* x (+ (* y y) -1))) (/ (* x x) (* x (+ (* y y) -1))) (* (pow y 3) x) (+ (* (pow (* y x) 2) (/ (* y y) (* x (+ (* y y) -1)))) (neg (/ (* x x) (* x (+ (* y y) -1))))) (pow (* y x) 2) (/ (* y y) (* x (+ (* y y) -1))) (* x (+ (* y y) -1)))
5.0ms	x	@	-inf	((* x (+ 1 (* y y))) (* (* y x) y) (* y x) (+ (* (* (pow y 3) x) (/ (* y x) (* x (+ (* y y) -1)))) (neg (/ (* x x) (* x (+ (* y y) -1))))) (/ (* y x) (* x (+ (* y y) -1))) (/ (* x x) (* x (+ (* y y) -1))) (* (pow y 3) x) (+ (* (pow (* y x) 2) (/ (* y y) (* x (+ (* y y) -1)))) (neg (/ (* x x) (* x (+ (* y y) -1))))) (pow (* y x) 2) (/ (* y y) (* x (+ (* y y) -1))) (* x (+ (* y y) -1)))
3.0ms	x	@	inf	((* x (+ 1 (* y y))) (* (* y x) y) (* y x) (+ (* (* (pow y 3) x) (/ (* y x) (* x (+ (* y y) -1)))) (neg (/ (* x x) (* x (+ (* y y) -1))))) (/ (* y x) (* x (+ (* y y) -1))) (/ (* x x) (* x (+ (* y y) -1))) (* (pow y 3) x) (+ (* (pow (* y x) 2) (/ (* y y) (* x (+ (* y y) -1)))) (neg (/ (* x x) (* x (+ (* y y) -1))))) (pow (* y x) 2) (/ (* y y) (* x (+ (* y y) -1))) (* x (+ (* y y) -1)))
3.0ms	y	@	inf	((* x (+ 1 (* y y))) (* (* y x) y) (* y x) (+ (* (* (pow y 3) x) (/ (* y x) (* x (+ (* y y) -1)))) (neg (/ (* x x) (* x (+ (* y y) -1))))) (/ (* y x) (* x (+ (* y y) -1))) (/ (* x x) (* x (+ (* y y) -1))) (* (pow y 3) x) (+ (* (pow (* y x) 2) (/ (* y y) (* x (+ (* y y) -1)))) (neg (/ (* x x) (* x (+ (* y y) -1))))) (pow (* y x) 2) (/ (* y y) (* x (+ (* y y) -1))) (* x (+ (* y y) -1)))
2.0ms	y	@	-inf	((* x (+ 1 (* y y))) (* (* y x) y) (* y x) (+ (* (* (pow y 3) x) (/ (* y x) (* x (+ (* y y) -1)))) (neg (/ (* x x) (* x (+ (* y y) -1))))) (/ (* y x) (* x (+ (* y y) -1))) (/ (* x x) (* x (+ (* y y) -1))) (* (pow y 3) x) (+ (* (pow (* y x) 2) (/ (* y y) (* x (+ (* y y) -1)))) (neg (/ (* x x) (* x (+ (* y y) -1))))) (pow (* y x) 2) (/ (* y y) (* x (+ (* y y) -1))) (* x (+ (* y y) -1)))

simplify202.0ms (3.5%)

Memory

-2.9MiB live, 187.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	515
1	322	512
2	889	487
3	3004	451
0	8305	432

Stop Event

1×	iter limit
1×	node limit

Counts

45 → 44

Calls

Call 1

Inputs
(* x (+ 1 (pow y 2)))
(* x (pow y 2))
(* x y)
(* x (- (/ (pow y 4) (- (pow y 2) 1)) (/ 1 (- (pow y 2) 1))))
(/ y (- (pow y 2) 1))
(/ x (- (pow y 2) 1))
(* x (pow y 3))
(* (pow x 2) (pow y 2))
(/ (pow y 2) (* x (- (pow y 2) 1)))
(* x (- (pow y 2) 1))
(* -1 (* x (+ (* -1 (/ (pow y 4) (- (pow y 2) 1))) (/ 1 (- (pow y 2) 1)))))
x
(+ x (* x (pow y 2)))
(- (* x (pow y 2)) (* -1 x))
(- (* (pow y 2) (+ x (* (pow y 2) (+ x (* -1 x))))) (* -1 x))
(* -1 y)
(* y (- (* -1 (pow y 2)) 1))
(* y (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1)) 1))
(* -1 x)
(+ (* -1 x) (* -1 (* x (pow y 2))))
(+ (* -1 x) (* (pow y 2) (- (* -1 (* x (pow y 2))) x)))
(+ (* -1 x) (* (pow y 2) (- (* (pow y 2) (- (* -1 (* x (pow y 2))) x)) x)))
(* -1 (/ (pow y 2) x))
(* (pow y 2) (- (* -1 (/ (pow y 2) x)) (/ 1 x)))
(* (pow y 2) (- (* (pow y 2) (- (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x)))
(* (pow y 2) (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x)))
(+ (* -1 x) (* x (pow y 2)))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (- (+ x (* -1 (/ (+ x (* -1 x)) (pow y 4)))) (* -1 (/ x (pow y 2)))))
(/ 1 y)
(/ (+ 1 (/ 1 (pow y 2))) y)
(/ (+ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4)))) y)
(/ (+ 1 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))) y)
(/ x (pow y 2))
(/ (+ x (/ x (pow y 2))) (pow y 2))
(/ (- (+ x (/ x (pow y 4))) (* -1 (/ x (pow y 2)))) (pow y 2))
(/ (- (+ x (/ x (pow y 6))) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 4))))) (pow y 2))
(/ 1 x)
(+ (/ 1 x) (/ 1 (* x (pow y 2))))
(+ (/ 1 x) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 4)))))
(+ (/ 1 x) (+ (/ 1 (* x (pow y 2))) (+ (/ 1 (* x (pow y 4))) (/ 1 (* x (pow y 6))))))
(* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) 1) y))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 4))) (+ 1 (/ 1 (pow y 2)))) y))

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

rewrite356.0ms (6.1%)

Memory

-10.0MiB live, 311.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	121
0	42	121
1	180	95
2	1432	91
0	8297	90

Stop Event

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

Counts

11 → 1 617

Calls

Call 1

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

Outputs
#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
(.f64 (.f64 y y) x)
(.f64 (.f64 y x) y)
(.f64 y (.f64 y x))
(.f64 x (.f64 y y))
(/.f64 (*.f64 y y) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (exp.f64 (log.f64 x)) y)
(.f64 (pow.f64 (sqrt.f64 (.f64 y x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (*.f64 y x)))
(*.f64 y (exp.f64 (log.f64 x)))
(*.f64 y x)
(*.f64 x y)
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(/.f64 y (pow.f64 x #s(literal -1 binary64)))
(exp.f64 (log.f64 (*.f64 y x)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 y y) x) #s(literal 4 binary64))) (pow.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 x) (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) x)) (fma.f64 y y #s(literal -1 binary64)))))
(.f64 (-.f64 (.f64 (pow.f64 (.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 9 binary64))) (pow.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) x) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) x) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (fma.f64 y y #s(literal -1 binary64))))))))
(.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) x) (neg.f64 x)) (fma.f64 y y #s(literal -1 binary64))))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (.f64 (neg.f64 x) x))) (pow.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) x) #s(literal 2 binary64)))))))
(.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (fma.f64 y y #s(literal -1 binary64))) (.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))))
(.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64)))) (.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) x) (.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) x) (*.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))))))
(.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (.f64 (fma.f64 y y #s(literal -1 binary64)) x)) (.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) #s(literal 2 binary64))))
(.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) x)) (.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) x) (/.f64 (fma.f64 y y #s(literal -1 binary64)) x))))
(.f64 (fma.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (.f64 (fma.f64 y y #s(literal -1 binary64)) x) (.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) x) (.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) x) #s(literal 2 binary64))))
(.f64 (fma.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))) (.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) x) (.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))))))
(.f64 (fma.f64 (.f64 (neg.f64 x) x) (.f64 (fma.f64 y y #s(literal -1 binary64)) x) (.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) x) (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) x) #s(literal 2 binary64))))
(.f64 (fma.f64 (.f64 x x) (.f64 (fma.f64 y y #s(literal -1 binary64)) x) (.f64 (.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))) (.f64 (fma.f64 y y #s(literal -1 binary64)) x))))
(.f64 (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (.f64 x x)) (pow.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) x) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) x) (neg.f64 x)) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 4 binary64)) (.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (.f64 (neg.f64 x) x))) (pow.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) #s(literal 2 binary64))))))
(.f64 (fma.f64 (pow.f64 (.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) x) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (.f64 (neg.f64 x) x))) (pow.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) x) #s(literal 2 binary64)))) #s(literal -1 binary64)))
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(.f64 (/.f64 (.f64 y (/.f64 y x)) (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 y (/.f64 y x)) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))
(.f64 (.f64 y (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (pow.f64 x #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 y x) y) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 y y) (fma.f64 y y #s(literal -1 binary64))) (pow.f64 x #s(literal -1 binary64)))
(.f64 (neg.f64 (.f64 y (/.f64 y x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y #s(literal -1 binary64)))))
(.f64 (neg.f64 (.f64 (neg.f64 y) y)) (pow.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) x) y)
(.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 y (/.f64 y x)))
(.f64 (.f64 y (/.f64 y x)) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) x) #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) x) #s(literal -1 binary64)) (*.f64 y y))
(*.f64 (/.f64 y x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))
(.f64 (.f64 (neg.f64 y) y) (pow.f64 (*.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 y y) (pow.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (/.f64 y x))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 x y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) y)))))
(*.f64 y (/.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) x))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) x) y))
(pow.f64 (*.f64 (/.f64 x y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 y (/.f64 y x)) (+.f64 y #s(literal 1 binary64)))) (neg.f64 (-.f64 y #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 y (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (/.f64 y x) y)) (neg.f64 (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (neg.f64 (/.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (*.f64 y (/.f64 y x)))) (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (neg.f64 y) y))) (neg.f64 (neg.f64 (.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))))))
(/.f64 (/.f64 (*.f64 y (/.f64 y x)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 (*.f64 y (/.f64 y x)) (+.f64 y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 y (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) x)
(/.f64 (*.f64 (/.f64 y x) y) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (/.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))) x)
(/.f64 (neg.f64 (*.f64 y (/.f64 y x))) (neg.f64 (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (neg.f64 y) y)) (neg.f64 (.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64)))))
(/.f64 (*.f64 y (/.f64 y x)) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (/.f64 y x) (/.f64 (fma.f64 y y #s(literal -1 binary64)) y))
(/.f64 (.f64 (neg.f64 y) y) (.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (.f64 y y) (.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) #s(literal 1 binary64)))
(/.f64 (.f64 y y) (.f64 (fma.f64 y y #s(literal -1 binary64)) x))
(/.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (/.f64 x y))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 x y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) y))))
(/.f64 y (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 (*.f64 y (/.f64 y x)) (+.f64 y #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (/.f64 y (fma.f64 y y #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (/.f64 y x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 x y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) y)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) y)))
(neg.f64 (/.f64 (.f64 (neg.f64 y) y) (.f64 (fma.f64 y y #s(literal -1 binary64)) x)))
(neg.f64 (/.f64 (.f64 y y) (.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 (.f64 y y) (*.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 x y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) y))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) x) (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 x (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 x (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 x (+.f64 y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 x x) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 y y) x) (neg.f64 x))))))
(.f64 (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 y y) x) (neg.f64 x))))
(.f64 (+.f64 y #s(literal 1 binary64)) (.f64 (-.f64 y #s(literal 1 binary64)) x))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) x)
(*.f64 x (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (.f64 (neg.f64 x) (.f64 (*.f64 y y) x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) x)) (neg.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 x x) (-.f64 (.f64 x x) (.f64 (.f64 (*.f64 y y) x) (neg.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 (*.f64 y y) x) (neg.f64 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) x) (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 x x) (-.f64 (.f64 x x) (.f64 (.f64 (*.f64 y y) x) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (.f64 (*.f64 y y) x) (neg.f64 x)))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 x (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 x (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 y y) x) (neg.f64 x)) (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 x x) (-.f64 (.f64 x x) (.f64 (.f64 (*.f64 y y) x) (neg.f64 x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))))
(/.f64 x (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 y y) x (neg.f64 x))
(fma.f64 #s(literal -1 binary64) x (.f64 (.f64 y y) x))
(fma.f64 (*.f64 y x) y (neg.f64 x))
(fma.f64 y (*.f64 y x) (neg.f64 x))
(fma.f64 x (*.f64 y y) (neg.f64 x))
(fma.f64 x #s(literal -1 binary64) (.f64 (.f64 y y) x))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 y y) x) (neg.f64 x))) (/.f64 (.f64 x x) (-.f64 (.f64 (*.f64 y y) x) (neg.f64 x))))
(+.f64 (neg.f64 x) (.f64 (.f64 y y) x))
(+.f64 (.f64 (.f64 y y) x) (neg.f64 x))

eval683.0ms (11.8%)

Memory: 6.8MiB live, 203.6MiB allocated
Compiler: Compiled 43 735 to 3 132 computations (92.8% saved)

prune224.0ms (3.9%)

Memory

-4.2MiB live, 73.2MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	1 168	5	1 173
Fresh	0	0	0
Picked	2	1	3
Done	0	3	3
Total	1 170	9	1 179

Accuracy

100.0%

Counts

1 179 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.1%	(fma.f64 (/.f64 y x) (.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))))
▶	42.0%	(fma.f64 (.f64 (.f64 (.f64 y y) x) x) (/.f64 (.f64 y y) (.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))))))
▶	46.0%	(fma.f64 (.f64 (.f64 y y) (.f64 y x)) (/.f64 (.f64 y x) (.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))))))
✓	90.8%	(fma.f64 (*.f64 y y) x x)
▶	72.1%	(fma.f64 y (.f64 (.f64 y y) (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) x)) (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))))
✓	51.3%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
▶	53.0%	#s(approx (* x (+ 1 (* y y))) (*.f64 (/.f64 y (pow.f64 x #s(literal -1 binary64))) y))
✓	44.0%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
✓	53.1%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))

Compiler

Compiled 275 to 152 computations (44.7% saved)

simplify109.0ms (1.9%)

Memory

19.6MiB live, 183.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y (fma.f64 y y #s(literal -1 binary64)))
cost-diff	0	(.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (.f64 y x) #s(literal 2 binary64)))
cost-diff	0	(/.f64 y x)
cost-diff	11	(fma.f64 (/.f64 y x) (.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))))
cost-diff	0	(pow.f64 x #s(literal -1 binary64))
cost-diff	0	(*.f64 (/.f64 y (pow.f64 x #s(literal -1 binary64))) y)
cost-diff	0	#s(approx (* x (+ 1 (* y y))) (*.f64 (/.f64 y (pow.f64 x #s(literal -1 binary64))) y))
cost-diff	2	(/.f64 y (pow.f64 x #s(literal -1 binary64)))
cost-diff	0	(.f64 (.f64 y y) x)
cost-diff	2	(.f64 (.f64 (*.f64 y y) x) x)
cost-diff	4	(/.f64 (.f64 x x) (.f64 x (fma.f64 y y #s(literal -1 binary64))))
cost-diff	11	(fma.f64 (.f64 (.f64 (.f64 y y) x) x) (/.f64 (.f64 y y) (.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))))))
cost-diff	2	(.f64 (.f64 y y) (*.f64 y x))
cost-diff	4	(/.f64 (.f64 x x) (.f64 x (fma.f64 y y #s(literal -1 binary64))))
cost-diff	4	(/.f64 (.f64 y x) (.f64 x (fma.f64 y y #s(literal -1 binary64))))
cost-diff	7	(fma.f64 (.f64 (.f64 y y) (.f64 y x)) (/.f64 (.f64 y x) (.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))))))
cost-diff	0	(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) x)
cost-diff	0	(*.f64 y y)
cost-diff	2	(.f64 (.f64 y y) (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) x))
cost-diff	7	(fma.f64 y (.f64 (.f64 y y) (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) x)) (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	348
0	67	316
1	156	292
2	472	270
3	2264	262
4	6372	262
0	8645	261

Stop Event

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

Calls

Call 1

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

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

localize167.0ms (2.9%)

Memory

-1.6MiB live, 199.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.4469420540932507	(.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (.f64 y x) #s(literal 2 binary64)))
accuracy	3.484592664511307	(/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64)))
accuracy	10.335714363484621	(fma.f64 (/.f64 y x) (.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))))
accuracy	14.738035529245439	(/.f64 y (fma.f64 y y #s(literal -1 binary64)))
accuracy	0.00390625	(pow.f64 x #s(literal -1 binary64))
accuracy	0.1640625	(*.f64 (/.f64 y (pow.f64 x #s(literal -1 binary64))) y)
accuracy	0.18978500976844204	(/.f64 y (pow.f64 x #s(literal -1 binary64)))
accuracy	29.94288235929481	#s(approx (* x (+ 1 (* y y))) (*.f64 (/.f64 y (pow.f64 x #s(literal -1 binary64))) y))
accuracy	6.041195911635178	(fma.f64 (.f64 (.f64 (.f64 y y) x) x) (/.f64 (.f64 y y) (.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))))))
accuracy	7.874122778371161	(.f64 (.f64 y y) x)
accuracy	22.899890133528306	(/.f64 (.f64 x x) (.f64 x (fma.f64 y y #s(literal -1 binary64))))
accuracy	23.271589952478273	(/.f64 (.f64 y y) (.f64 x (fma.f64 y y #s(literal -1 binary64))))
accuracy	5.856591642932189	(*.f64 x (fma.f64 y y #s(literal -1 binary64)))
accuracy	6.550974088970617	(fma.f64 (.f64 (.f64 y y) (.f64 y x)) (/.f64 (.f64 y x) (.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))))))
accuracy	19.917528751161598	(/.f64 (.f64 y x) (.f64 x (fma.f64 y y #s(literal -1 binary64))))
accuracy	22.899890133528306	(/.f64 (.f64 x x) (.f64 x (fma.f64 y y #s(literal -1 binary64))))
accuracy	0.09375	(fma.f64 y (.f64 (.f64 y y) (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) x)) (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))))
accuracy	3.484592664511307	(/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64)))
accuracy	13.354151510123222	(.f64 (.f64 y y) (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) x))
accuracy	14.738035529245439	(/.f64 y (fma.f64 y y #s(literal -1 binary64)))

Samples

141.0ms

256×

valid

Compiler

Compiled 373 to 40 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-neg: 61.0ms (51% of total)

ival-div: 22.0ms (18.4% of total)

ival-mult: 22.0ms (18.4% of total)

ival-add: 7.0ms (5.9% of total)

ival-pow2: 4.0ms (3.3% of total)

ival-pow: 3.0ms (2.5% of total)

exact: 1.0ms (0.8% of total)

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

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

series107.0ms (1.8%)

Memory

-12.7MiB live, 27.6MiB allocated

Counts

22 → 90

Calls

Call 1

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

Outputs
(* x (- (/ (pow y 4) (- (pow y 2) 1)) (/ 1 (- (pow y 2) 1))))
(/ (* x (pow y 3)) (- (pow y 2) 1))
(/ (* x y) (- (pow y 2) 1))
(/ y (- (pow y 2) 1))
(/ x (- (pow y 2) 1))
(* x (pow y 3))
(* (pow x 2) (pow y 2))
(* x (pow y 2))
(* x y)
(* x (+ 1 (pow y 2)))
(/ 1 x)
(/ y x)
(/ (* (pow x 2) (pow y 3)) (- (pow y 2) 1))
(* -1 (/ x (- (pow y 2) 1)))
(* x (- (pow y 2) 1))
(/ (pow y 2) (* x (- (pow y 2) 1)))
(* -1 (* x (+ (* -1 (/ (pow y 4) (- (pow y 2) 1))) (/ 1 (- (pow y 2) 1)))))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ x (* -1 x))))))
(* -1 (* x (pow y 3)))
(* (pow y 3) (+ (* -1 x) (* -1 (* x (pow y 2)))))
(* (pow y 3) (+ (* -1 x) (* (pow y 2) (- (* -1 (* x (pow y 2))) x))))
(* (pow y 3) (+ (* -1 x) (* (pow y 2) (- (* (pow y 2) (- (* -1 (* x (pow y 2))) x)) x))))
(pow y 2)
(* -1 (* x y))
(* y (+ (* -1 x) (* -1 (* x (pow y 2)))))
(* y (+ (* -1 x) (* (pow y 2) (- (* -1 (* x (pow y 2))) x))))
(* y (+ (* -1 x) (* (pow y 2) (- (* (pow y 2) (- (* -1 (* x (pow y 2))) x)) x))))
(- (* x (pow y 2)) (* -1 x))
(- (* (pow y 2) (+ x (* (pow y 2) (+ x (* -1 x))))) (* -1 x))
(* -1 y)
(* y (- (* -1 (pow y 2)) 1))
(* y (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1)) 1))
(* -1 x)
(+ (* -1 x) (* -1 (* x (pow y 2))))
(+ (* -1 x) (* (pow y 2) (- (* -1 (* x (pow y 2))) x)))
(+ (* -1 x) (* (pow y 2) (- (* (pow y 2) (- (* -1 (* x (pow y 2))) x)) x)))
(* -1 (* (pow x 2) (pow y 3)))
(* (pow y 3) (+ (* -1 (* (pow x 2) (pow y 2))) (* -1 (pow x 2))))
(* (pow y 3) (+ (* -1 (pow x 2)) (* (pow y 2) (- (* -1 (* (pow x 2) (pow y 2))) (pow x 2)))))
(* (pow y 3) (+ (* -1 (pow x 2)) (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow x 2) (pow y 2))) (pow x 2))) (pow x 2)))))
(+ x (* (pow y 2) (+ x (* x (pow y 2)))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ x (* x (pow y 2)))))))
(+ (* -1 x) (* x (pow y 2)))
(* -1 (/ (pow y 2) x))
(* (pow y 2) (- (* -1 (/ (pow y 2) x)) (/ 1 x)))
(* (pow y 2) (- (* (pow y 2) (- (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x)))
(* (pow y 2) (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x)))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* y (+ x (/ x (pow y 2))))
(* y (- (+ x (/ x (pow y 4))) (* -1 (/ x (pow y 2)))))
(* y (- (+ x (/ x (pow y 6))) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 4))))))
(/ x y)
(/ (+ x (/ x (pow y 2))) y)
(/ (- (+ x (/ x (pow y 4))) (* -1 (/ x (pow y 2)))) y)
(/ (- (+ x (/ x (pow y 6))) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 4))))) y)
(* (pow y 2) (- (+ x (* -1 (/ (+ x (* -1 x)) (pow y 4)))) (* -1 (/ x (pow y 2)))))
(/ 1 y)
(/ (+ 1 (/ 1 (pow y 2))) y)
(/ (+ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4)))) y)
(/ (+ 1 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))) y)
(/ x (pow y 2))
(/ (+ x (/ x (pow y 2))) (pow y 2))
(/ (- (+ x (/ x (pow y 4))) (* -1 (/ x (pow y 2)))) (pow y 2))
(/ (- (+ x (/ x (pow y 6))) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 4))))) (pow y 2))
(* (pow x 2) y)
(* y (+ (/ (pow x 2) (pow y 2)) (pow x 2)))
(* y (- (+ (/ (pow x 2) (pow y 4)) (pow x 2)) (* -1 (/ (pow x 2) (pow y 2)))))
(* y (- (+ (/ (pow x 2) (pow y 6)) (pow x 2)) (+ (* -1 (/ (pow x 2) (pow y 2))) (* -1 (/ (pow x 2) (pow y 4))))))
(* -1 (/ x (pow y 2)))
(/ (+ (* -1 x) (* -1 (/ x (pow y 2)))) (pow y 2))
(/ (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 4))))) (pow y 2))
(/ (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ x (pow y 4))) (* -1 (/ x (pow y 6)))))) (pow y 2))
(* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))
(+ (/ 1 x) (/ 1 (* x (pow y 2))))
(+ (/ 1 x) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 4)))))
(+ (/ 1 x) (+ (/ 1 (* x (pow y 2))) (+ (/ 1 (* x (pow y 4))) (/ 1 (* x (pow y 6))))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x (pow y 2))))))
(* -1 (* y (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 4)))))))
(* -1 (* y (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ x (pow y 4))) (* -1 (/ x (pow y 6))))))))
(* -1 (/ (+ (* -1 x) (* -1 (/ x (pow y 2)))) y))
(* -1 (/ (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 4))))) y))
(* -1 (/ (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ x (pow y 4))) (* -1 (/ x (pow y 6)))))) y))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) 1) y))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 4))) (+ 1 (/ 1 (pow y 2)))) y))
(* -1 (* y (+ (* -1 (/ (pow x 2) (pow y 2))) (* -1 (pow x 2)))))
(* -1 (* y (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 2) (pow y 4))) (* -1 (pow x 2))))))
(* -1 (* y (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 6))) (* -1 (pow x 2)))))))

Calls

6 calls:

Time	Variable		Point	Expression
82.0ms	x	@	inf	((+ (* y (* (* y y) (* (/ y (+ (* y y) -1)) x))) (/ (neg x) (+ (* y y) -1))) (* (* y y) (* (/ y (+ (* y y) -1)) x)) (* y y) (* (/ y (+ (* y y) -1)) x) (+ (* (* (* y y) (* y x)) (/ (* y x) (* x (+ (* y y) -1)))) (neg (/ (* x x) (* x (+ (* y y) -1))))) (/ (* y x) (* x (+ (* y y) -1))) (/ (* x x) (* x (+ (* y y) -1))) (* (* y y) (* y x)) (+ (* (* (* (* y y) x) x) (/ (* y y) (* x (+ (* y y) -1)))) (neg (/ (* x x) (* x (+ (* y y) -1))))) (* (* (* y y) x) x) (* (* y y) x) (/ y (pow x -1)) (* x (+ 1 (* y y))) (* (/ y (pow x -1)) y) (pow x -1) (+ (* (/ y x) (* (/ y (+ (* y y) -1)) (pow (* y x) 2))) (/ (neg x) (+ (* y y) -1))) (/ y x) (* (/ y (+ (* y y) -1)) (pow (* y x) 2)) (/ y (+ (* y y) -1)) (/ (neg x) (+ (* y y) -1)) (* x (+ (* y y) -1)) (/ (* y y) (* x (+ (* y y) -1))))
9.0ms	x	@	-inf	((+ (* y (* (* y y) (* (/ y (+ (* y y) -1)) x))) (/ (neg x) (+ (* y y) -1))) (* (* y y) (* (/ y (+ (* y y) -1)) x)) (* y y) (* (/ y (+ (* y y) -1)) x) (+ (* (* (* y y) (* y x)) (/ (* y x) (* x (+ (* y y) -1)))) (neg (/ (* x x) (* x (+ (* y y) -1))))) (/ (* y x) (* x (+ (* y y) -1))) (/ (* x x) (* x (+ (* y y) -1))) (* (* y y) (* y x)) (+ (* (* (* (* y y) x) x) (/ (* y y) (* x (+ (* y y) -1)))) (neg (/ (* x x) (* x (+ (* y y) -1))))) (* (* (* y y) x) x) (* (* y y) x) (/ y (pow x -1)) (* x (+ 1 (* y y))) (* (/ y (pow x -1)) y) (pow x -1) (+ (* (/ y x) (* (/ y (+ (* y y) -1)) (pow (* y x) 2))) (/ (neg x) (+ (* y y) -1))) (/ y x) (* (/ y (+ (* y y) -1)) (pow (* y x) 2)) (/ y (+ (* y y) -1)) (/ (neg x) (+ (* y y) -1)) (* x (+ (* y y) -1)) (/ (* y y) (* x (+ (* y y) -1))))
5.0ms	x	@	0	((+ (* y (* (* y y) (* (/ y (+ (* y y) -1)) x))) (/ (neg x) (+ (* y y) -1))) (* (* y y) (* (/ y (+ (* y y) -1)) x)) (* y y) (* (/ y (+ (* y y) -1)) x) (+ (* (* (* y y) (* y x)) (/ (* y x) (* x (+ (* y y) -1)))) (neg (/ (* x x) (* x (+ (* y y) -1))))) (/ (* y x) (* x (+ (* y y) -1))) (/ (* x x) (* x (+ (* y y) -1))) (* (* y y) (* y x)) (+ (* (* (* (* y y) x) x) (/ (* y y) (* x (+ (* y y) -1)))) (neg (/ (* x x) (* x (+ (* y y) -1))))) (* (* (* y y) x) x) (* (* y y) x) (/ y (pow x -1)) (* x (+ 1 (* y y))) (* (/ y (pow x -1)) y) (pow x -1) (+ (* (/ y x) (* (/ y (+ (* y y) -1)) (pow (* y x) 2))) (/ (neg x) (+ (* y y) -1))) (/ y x) (* (/ y (+ (* y y) -1)) (pow (* y x) 2)) (/ y (+ (* y y) -1)) (/ (neg x) (+ (* y y) -1)) (* x (+ (* y y) -1)) (/ (* y y) (* x (+ (* y y) -1))))
4.0ms	y	@	inf	((+ (* y (* (* y y) (* (/ y (+ (* y y) -1)) x))) (/ (neg x) (+ (* y y) -1))) (* (* y y) (* (/ y (+ (* y y) -1)) x)) (* y y) (* (/ y (+ (* y y) -1)) x) (+ (* (* (* y y) (* y x)) (/ (* y x) (* x (+ (* y y) -1)))) (neg (/ (* x x) (* x (+ (* y y) -1))))) (/ (* y x) (* x (+ (* y y) -1))) (/ (* x x) (* x (+ (* y y) -1))) (* (* y y) (* y x)) (+ (* (* (* (* y y) x) x) (/ (* y y) (* x (+ (* y y) -1)))) (neg (/ (* x x) (* x (+ (* y y) -1))))) (* (* (* y y) x) x) (* (* y y) x) (/ y (pow x -1)) (* x (+ 1 (* y y))) (* (/ y (pow x -1)) y) (pow x -1) (+ (* (/ y x) (* (/ y (+ (* y y) -1)) (pow (* y x) 2))) (/ (neg x) (+ (* y y) -1))) (/ y x) (* (/ y (+ (* y y) -1)) (pow (* y x) 2)) (/ y (+ (* y y) -1)) (/ (neg x) (+ (* y y) -1)) (* x (+ (* y y) -1)) (/ (* y y) (* x (+ (* y y) -1))))
4.0ms	y	@	-inf	((+ (* y (* (* y y) (* (/ y (+ (* y y) -1)) x))) (/ (neg x) (+ (* y y) -1))) (* (* y y) (* (/ y (+ (* y y) -1)) x)) (* y y) (* (/ y (+ (* y y) -1)) x) (+ (* (* (* y y) (* y x)) (/ (* y x) (* x (+ (* y y) -1)))) (neg (/ (* x x) (* x (+ (* y y) -1))))) (/ (* y x) (* x (+ (* y y) -1))) (/ (* x x) (* x (+ (* y y) -1))) (* (* y y) (* y x)) (+ (* (* (* (* y y) x) x) (/ (* y y) (* x (+ (* y y) -1)))) (neg (/ (* x x) (* x (+ (* y y) -1))))) (* (* (* y y) x) x) (* (* y y) x) (/ y (pow x -1)) (* x (+ 1 (* y y))) (* (/ y (pow x -1)) y) (pow x -1) (+ (* (/ y x) (* (/ y (+ (* y y) -1)) (pow (* y x) 2))) (/ (neg x) (+ (* y y) -1))) (/ y x) (* (/ y (+ (* y y) -1)) (pow (* y x) 2)) (/ y (+ (* y y) -1)) (/ (neg x) (+ (* y y) -1)) (* x (+ (* y y) -1)) (/ (* y y) (* x (+ (* y y) -1))))

simplify213.0ms (3.7%)

Memory

-5.1MiB live, 158.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	212	1207
1	651	1176
2	2066	1111
3	6494	1110
0	8079	1070

Stop Event

1×	iter limit
1×	node limit

Counts

90 → 89

Calls

Call 1

Inputs
(* x (- (/ (pow y 4) (- (pow y 2) 1)) (/ 1 (- (pow y 2) 1))))
(/ (* x (pow y 3)) (- (pow y 2) 1))
(/ (* x y) (- (pow y 2) 1))
(/ y (- (pow y 2) 1))
(/ x (- (pow y 2) 1))
(* x (pow y 3))
(* (pow x 2) (pow y 2))
(* x (pow y 2))
(* x y)
(* x (+ 1 (pow y 2)))
(/ 1 x)
(/ y x)
(/ (* (pow x 2) (pow y 3)) (- (pow y 2) 1))
(* -1 (/ x (- (pow y 2) 1)))
(* x (- (pow y 2) 1))
(/ (pow y 2) (* x (- (pow y 2) 1)))
(* -1 (* x (+ (* -1 (/ (pow y 4) (- (pow y 2) 1))) (/ 1 (- (pow y 2) 1)))))
x
(+ x (* x (pow y 2)))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ x (* -1 x))))))
(* -1 (* x (pow y 3)))
(* (pow y 3) (+ (* -1 x) (* -1 (* x (pow y 2)))))
(* (pow y 3) (+ (* -1 x) (* (pow y 2) (- (* -1 (* x (pow y 2))) x))))
(* (pow y 3) (+ (* -1 x) (* (pow y 2) (- (* (pow y 2) (- (* -1 (* x (pow y 2))) x)) x))))
(pow y 2)
(* -1 (* x y))
(* y (+ (* -1 x) (* -1 (* x (pow y 2)))))
(* y (+ (* -1 x) (* (pow y 2) (- (* -1 (* x (pow y 2))) x))))
(* y (+ (* -1 x) (* (pow y 2) (- (* (pow y 2) (- (* -1 (* x (pow y 2))) x)) x))))
(- (* x (pow y 2)) (* -1 x))
(- (* (pow y 2) (+ x (* (pow y 2) (+ x (* -1 x))))) (* -1 x))
(* -1 y)
(* y (- (* -1 (pow y 2)) 1))
(* y (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1)) 1))
(* -1 x)
(+ (* -1 x) (* -1 (* x (pow y 2))))
(+ (* -1 x) (* (pow y 2) (- (* -1 (* x (pow y 2))) x)))
(+ (* -1 x) (* (pow y 2) (- (* (pow y 2) (- (* -1 (* x (pow y 2))) x)) x)))
(* -1 (* (pow x 2) (pow y 3)))
(* (pow y 3) (+ (* -1 (* (pow x 2) (pow y 2))) (* -1 (pow x 2))))
(* (pow y 3) (+ (* -1 (pow x 2)) (* (pow y 2) (- (* -1 (* (pow x 2) (pow y 2))) (pow x 2)))))
(* (pow y 3) (+ (* -1 (pow x 2)) (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow x 2) (pow y 2))) (pow x 2))) (pow x 2)))))
(+ x (* (pow y 2) (+ x (* x (pow y 2)))))
(+ x (* (pow y 2) (+ x (* (pow y 2) (+ x (* x (pow y 2)))))))
(+ (* -1 x) (* x (pow y 2)))
(* -1 (/ (pow y 2) x))
(* (pow y 2) (- (* -1 (/ (pow y 2) x)) (/ 1 x)))
(* (pow y 2) (- (* (pow y 2) (- (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x)))
(* (pow y 2) (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x)))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* y (+ x (/ x (pow y 2))))
(* y (- (+ x (/ x (pow y 4))) (* -1 (/ x (pow y 2)))))
(* y (- (+ x (/ x (pow y 6))) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 4))))))
(/ x y)
(/ (+ x (/ x (pow y 2))) y)
(/ (- (+ x (/ x (pow y 4))) (* -1 (/ x (pow y 2)))) y)
(/ (- (+ x (/ x (pow y 6))) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 4))))) y)
(* (pow y 2) (- (+ x (* -1 (/ (+ x (* -1 x)) (pow y 4)))) (* -1 (/ x (pow y 2)))))
(/ 1 y)
(/ (+ 1 (/ 1 (pow y 2))) y)
(/ (+ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4)))) y)
(/ (+ 1 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))) y)
(/ x (pow y 2))
(/ (+ x (/ x (pow y 2))) (pow y 2))
(/ (- (+ x (/ x (pow y 4))) (* -1 (/ x (pow y 2)))) (pow y 2))
(/ (- (+ x (/ x (pow y 6))) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 4))))) (pow y 2))
(* (pow x 2) y)
(* y (+ (/ (pow x 2) (pow y 2)) (pow x 2)))
(* y (- (+ (/ (pow x 2) (pow y 4)) (pow x 2)) (* -1 (/ (pow x 2) (pow y 2)))))
(* y (- (+ (/ (pow x 2) (pow y 6)) (pow x 2)) (+ (* -1 (/ (pow x 2) (pow y 2))) (* -1 (/ (pow x 2) (pow y 4))))))
(* -1 (/ x (pow y 2)))
(/ (+ (* -1 x) (* -1 (/ x (pow y 2)))) (pow y 2))
(/ (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 4))))) (pow y 2))
(/ (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ x (pow y 4))) (* -1 (/ x (pow y 6)))))) (pow y 2))
(* (pow y 2) (+ x (* -1 (/ x (pow y 2)))))
(+ (/ 1 x) (/ 1 (* x (pow y 2))))
(+ (/ 1 x) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 4)))))
(+ (/ 1 x) (+ (/ 1 (* x (pow y 2))) (+ (/ 1 (* x (pow y 4))) (/ 1 (* x (pow y 6))))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x (pow y 2))))))
(* -1 (* y (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 4)))))))
(* -1 (* y (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ x (pow y 4))) (* -1 (/ x (pow y 6))))))))
(* -1 (/ (+ (* -1 x) (* -1 (/ x (pow y 2)))) y))
(* -1 (/ (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 4))))) y))
(* -1 (/ (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ x (pow y 4))) (* -1 (/ x (pow y 6)))))) y))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) 1) y))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 4))) (+ 1 (/ 1 (pow y 2)))) y))
(* -1 (* y (+ (* -1 (/ (pow x 2) (pow y 2))) (* -1 (pow x 2)))))
(* -1 (* y (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 2) (pow y 4))) (* -1 (pow x 2))))))
(* -1 (* y (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1 (/ (pow x 2) (pow y 4))) (+ (* -1 (/ (pow x 2) (pow y 6))) (* -1 (pow x 2)))))))

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

rewrite217.0ms (3.7%)

Memory

8.9MiB live, 273.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	238
0	67	212
1	286	188
2	2538	172
0	8288	171

Stop Event

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

Counts

22 → 1 456

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 x y) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x y)) (neg.f64 x)) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) #s(literal -3 binary64))) (pow.f64 (fma.f64 (pow.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)) (.f64 (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (-.f64 (neg.f64 x) (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x y))) (fma.f64 y y #s(literal -1 binary64))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x y)) x) (fma.f64 y y #s(literal -1 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) x) #s(literal -3 binary64))) (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal 0 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal 0 binary64)) (+.f64 (pow.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal 0 binary64)) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x y)) (neg.f64 x)) (fma.f64 y y #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x y)) (neg.f64 x)) (fma.f64 y y #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x y)) (neg.f64 x)) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 (.f64 (pow.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x y)) (neg.f64 x)) (fma.f64 y y #s(literal -1 binary64)))) (fma.f64 (/.f64 (pow.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x y)) (neg.f64 x)) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 (pow.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x y)) (neg.f64 x)) (fma.f64 y y #s(literal -1 binary64)))) (.f64 (/.f64 (.f64 (pow.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x y)) (neg.f64 x)) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 (pow.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 x y)) (neg.f64 x)) (fma.f64 y y #s(literal -1 binary64))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (-.f64 x (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x y))) (fma.f64 y y #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (-.f64 x (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x y))) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (-.f64 x (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x y))) (fma.f64 y y #s(literal -1 binary64))) (.f64 #s(literal 0 binary64) (/.f64 (-.f64 x (.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 x y))) (fma.f64 y y #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 x y) y) #s(literal 4 binary64))) (pow.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (neg.f64 x) (.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 x y))) (fma.f64 y y #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal 3 binary64))) (pow.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) x) #s(literal -3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) (/.f64 x (fma.f64 y y #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 x y) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 x y)) (neg.f64 x)) (fma.f64 y y #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) #s(literal -3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)) (.f64 (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (-.f64 (neg.f64 x) (.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 x y))) (fma.f64 y y #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 x y) y) #s(literal 2 binary64)) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (.f64 x x))) (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 x y) y) #s(literal 2 binary64)) (fma.f64 y y #s(literal -1 binary64))) (.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x)) (.f64 x (.f64 (neg.f64 x) x)))) (neg.f64 (.f64 x (.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 x y) y) #s(literal 2 binary64)) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) x)) x)) (neg.f64 (.f64 x (/.f64 (fma.f64 y y #s(literal -1 binary64)) x))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 x y) y) #s(literal 2 binary64)) (fma.f64 y y #s(literal -1 binary64))) (.f64 x (fma.f64 y y #s(literal -1 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (.f64 x (.f64 x (fma.f64 y y #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 x y) y) #s(literal 2 binary64)) (fma.f64 y y #s(literal -1 binary64))) (.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) x))) (neg.f64 (.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 x y) y) #s(literal 2 binary64)) (.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x)) (.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) (.f64 (neg.f64 x) x)))) (neg.f64 (.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) (.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 x y) y) #s(literal 2 binary64)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) x)) (.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64)))) (neg.f64 (.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) x))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 x y) y) #s(literal 2 binary64)) (.f64 x (fma.f64 y y #s(literal -1 binary64)))) (.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) (.f64 x x)))) (neg.f64 (pow.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (.f64 (.f64 x y) y) #s(literal 2 binary64)) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (.f64 x x))) (neg.f64 (.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (.f64 (.f64 x y) y) #s(literal 2 binary64)) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) x)) (neg.f64 (*.f64 x (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (.f64 (.f64 x y) y) #s(literal 2 binary64)) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)) (.f64 (neg.f64 x) x))) (.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 x y) y) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) x))) (neg.f64 (.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 x y) y) #s(literal 2 binary64)) (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) (.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64)))) (neg.f64 (.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (.f64 x y) y) #s(literal 2 binary64)) (fma.f64 y y #s(literal -1 binary64)) (.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) (neg.f64 x)))) (neg.f64 (.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))))
(/.f64 (neg.f64 (fma.f64 x x (.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (/.f64 (pow.f64 (.f64 (.f64 x y) y) #s(literal 2 binary64)) (fma.f64 y y #s(literal -1 binary64)))))) (neg.f64 (.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 y y #s(literal -1 binary64))) (.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 x y) y) #s(literal 2 binary64))))) (neg.f64 (.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (.f64 x (fma.f64 y y #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 x (.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) (/.f64 (pow.f64 (.f64 (.f64 x y) y) #s(literal 2 binary64)) (fma.f64 y y #s(literal -1 binary64)))))) (neg.f64 (.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (.f64 x (fma.f64 y y #s(literal -1 binary64))) (.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) (pow.f64 (.f64 (.f64 x y) y) #s(literal 2 binary64))))) (neg.f64 (.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) (.f64 x (fma.f64 y y #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 (.f64 x y) y) #s(literal 2 binary64)) (fma.f64 y y #s(literal -1 binary64)))))) (.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) (.f64 x (fma.f64 y y #s(literal -1 binary64))) (.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 (.f64 (.f64 x y) y) #s(literal 2 binary64))))) (neg.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) (.f64 x (fma.f64 y y #s(literal -1 binary64))))))
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(.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 y (/.f64 y x)))
(.f64 (pow.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 y y))
(.f64 (.f64 (neg.f64 y) y) (pow.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) #s(literal -1 binary64)))
(*.f64 (/.f64 y x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) x) y))
(.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (.f64 y y)) #s(literal -1 binary64)))
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (/.f64 y x))
(.f64 (.f64 y y) (pow.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 y (pow.f64 (.f64 x (/.f64 (fma.f64 y y #s(literal -1 binary64)) y)) #s(literal -1 binary64)))
(*.f64 y (/.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) x))
(pow.f64 (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) y) (/.f64 x y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 y (/.f64 y x)) (+.f64 #s(literal 1 binary64) y))) (neg.f64 (-.f64 y #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) x)
(/.f64 (neg.f64 (*.f64 (/.f64 y x) (neg.f64 y))) (neg.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal 1 binary64))) (neg.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) y)))
(/.f64 (neg.f64 (*.f64 (/.f64 y x) y)) (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 y (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (*.f64 y (/.f64 y x)))) (neg.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (.f64 (neg.f64 y) y))) (neg.f64 (neg.f64 (.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (.f64 (neg.f64 y) #s(literal 1 binary64))) (neg.f64 (.f64 (neg.f64 x) (/.f64 (fma.f64 y y #s(literal -1 binary64)) y))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 y))) (neg.f64 (.f64 (/.f64 x y) (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))))
(/.f64 (neg.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (/.f64 x y)))
(/.f64 (neg.f64 (/.f64 y x)) (neg.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) y)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) y)) (neg.f64 (.f64 (/.f64 x y) (fma.f64 y y #s(literal -1 binary64)))))
(/.f64 (/.f64 (*.f64 y (/.f64 y x)) (+.f64 #s(literal 1 binary64) y)) (-.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 y) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 x))
(/.f64 (*.f64 (/.f64 y x) (neg.f64 y)) (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) y))
(/.f64 (*.f64 (/.f64 y x) y) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (*.f64 y (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) x)
(/.f64 (/.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))) x)
(/.f64 (neg.f64 (*.f64 y (/.f64 y x))) (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (neg.f64 y) y)) (neg.f64 (.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (.f64 y #s(literal 1 binary64))) (neg.f64 (.f64 x (/.f64 (fma.f64 y y #s(literal -1 binary64)) y))))
(/.f64 (.f64 (neg.f64 y) #s(literal 1 binary64)) (.f64 (neg.f64 x) (/.f64 (fma.f64 y y #s(literal -1 binary64)) y)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (.f64 (/.f64 x y) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) y) (.f64 (/.f64 x y) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (.f64 y #s(literal 1 binary64)) (.f64 x (/.f64 (fma.f64 y y #s(literal -1 binary64)) y)))
(/.f64 (*.f64 y (/.f64 y x)) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (.f64 (neg.f64 y) y) (neg.f64 (.f64 (neg.f64 x) (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))))
(/.f64 (.f64 (neg.f64 y) y) (.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x))
(/.f64 (/.f64 y x) (/.f64 (fma.f64 y y #s(literal -1 binary64)) y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 (*.f64 y (/.f64 y x)) (+.f64 #s(literal 1 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (neg.f64 y) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (*.f64 (/.f64 y x) (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) y) (*.f64 (/.f64 y x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (/.f64 y x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (/.f64 y (fma.f64 y y #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) (/.f64 (fma.f64 y y #s(literal -1 binary64)) y)) (.f64 (neg.f64 y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 x y) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (/.f64 (fma.f64 y y #s(literal -1 binary64)) y)) (.f64 y #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) y) (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) y) (/.f64 x y)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) y) (/.f64 x y)))
(/.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (/.f64 x y))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) y) (/.f64 x y))))
(/.f64 (.f64 y y) (.f64 (neg.f64 x) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))
(/.f64 (.f64 y y) (.f64 x (fma.f64 y y #s(literal -1 binary64))))
(neg.f64 (/.f64 (.f64 (neg.f64 y) y) (.f64 x (fma.f64 y y #s(literal -1 binary64)))))
(neg.f64 (/.f64 (.f64 y y) (.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x)) (/.f64 (.f64 y y) (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) y) (/.f64 x y))) #s(literal -1 binary64)))

eval198.0ms (3.4%)

Memory: 17.2MiB live, 250.8MiB allocated
Compiler: Compiled 34 344 to 2 947 computations (91.4% saved)

prune23.0ms (0.4%)

Memory

-3.2MiB live, 73.8MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	1 084	5	1 089
Fresh	0	0	0
Picked	5	0	5
Done	0	4	4
Total	1 089	9	1 098

Accuracy

100.0%

Counts

1 098 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.7%	(fma.f64 (/.f64 y x) #s(approx (* (/ y (+ (* y y) -1)) (pow (* y x) 2)) (.f64 (.f64 x x) y)) (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))))
	60.3%	(fma.f64 (.f64 (.f64 (.f64 y y) x) x) (/.f64 (.f64 y y) (.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 #s(approx (/ ( x x) (* x (+ (* y y) -1))) (neg.f64 x))))
	67.5%	(fma.f64 (.f64 (.f64 y y) (.f64 y x)) (/.f64 (.f64 y x) (.f64 x (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 #s(approx (/ ( x x) (* x (+ (* y y) -1))) (neg.f64 x))))
✓	90.8%	(fma.f64 (*.f64 y y) x x)
✓	51.3%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
	53.0%	#s(approx (* x (+ 1 (* y y))) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) y))
	53.0%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) #s(literal -1 binary64))) y))
✓	44.0%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
✓	53.1%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))

Compiler

Compiled 530 to 196 computations (63% saved)

regimes92.0ms (1.6%)

Memory

-21.3MiB live, 90.3MiB allocated

Counts

18 → 1

Calls

Call 1

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

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

Calls

5 calls:

47.0ms	(+.f64 #s(literal 1 binary64) (*.f64 y y))
27.0ms	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
6.0ms	y
5.0ms	x
5.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
99.8%	1	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
99.8%	1	`(*.f64 y y)`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes8.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

5 calls:

2.0ms	x
2.0ms	y
2.0ms	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
2.0ms	(*.f64 y y)
1.0ms	(+.f64 #s(literal 1 binary64) (*.f64 y y))

Results

Accuracy	Segments	Branch
65.4%	5	`x`
99.4%	2	`y`
80.4%	2	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
99.4%	2	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
99.4%	2	`(*.f64 y y)`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes142.0ms (2.5%)

Memory

-27.5MiB live, 11.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))

Outputs
(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))

Calls

5 calls:

138.0ms	(*.f64 y y)
1.0ms	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
1.0ms	x
1.0ms	y
1.0ms	(+.f64 #s(literal 1 binary64) (*.f64 y y))

Results

Accuracy	Segments	Branch
51.3%	1	`x`
51.3%	1	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
51.3%	1	`y`
51.3%	1	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
51.3%	1	`(*.f64 y y)`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.748271840970212e-6	889715645529.9252

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify9.0ms (0.2%)

Memory

15.7MiB live, 15.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	43
1	27	43
2	35	43
3	58	43
4	58	43

Stop Event

1×

saturated

Calls

Call 1

Inputs

(fma.f64 (*.f64 x y) y x)

(if (<=.f64 (*.f64 y y) #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y)))

(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))

Outputs

(fma.f64 (*.f64 x y) y x)

(if (<=.f64 (*.f64 y y) #s(literal 5902958103587057/1180591620717411303424 binary64)) (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y)))

(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))

soundness559.0ms (9.6%)

Memory

12.4MiB live, 320.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	52
0	21	51
1	78	51
2	364	51
3	3010	51
0	8226	49
0	15	41
1	42	41
2	74	41
3	212	41
4	702	41
5	1925	41
6	2604	41
7	3692	41
8	5035	41
9	5933	41
10	6892	41
11	7235	41
12	7350	41
13	7427	41
14	7496	41
15	7643	41
0	8184	36
0	6	15
0	9	15
1	34	15
2	209	15
3	1409	15
0	8238	13

Stop Event

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

Compiler

Compiled 80 to 47 computations (41.3% saved)

preprocess141.0ms (2.4%)

Memory

5.4MiB live, 44.2MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 138 to 74 computations (46.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	37
1	65	37
2	192	35
3	476	35
4	657	35
5	769	35
6	801	35
0	6	7
0	9	7
1	19	7
2	27	7
3	49	7
4	49	7
0	49	6

Iter	Nodes	Cost
0	16	37
1	65	37
2	192	35
3	476	35
4	657	35
5	769	35
6	801	35
0	6	7
0	9	7
1	19	7
2	27	7
3	49	7
4	49	7
0	49	6

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (19.9%)

explain78.0ms (1.3%)

preprocess25.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize37.0ms (0.6%)

series4.0ms (0.1%)

simplify213.0ms (3.7%)

rewrite153.0ms (2.6%)

eval66.0ms (1.1%)

prune29.0ms (0.5%)

simplify4.0ms (0.1%)

localize31.0ms (0.5%)

series7.0ms (0.1%)

simplify103.0ms (1.8%)

rewrite160.0ms (2.8%)

eval34.0ms (0.6%)

prune5.0ms (0.1%)

simplify134.0ms (2.3%)

localize82.0ms (1.4%)

series22.0ms (0.4%)

simplify202.0ms (3.5%)

rewrite356.0ms (6.1%)

eval683.0ms (11.8%)

prune224.0ms (3.9%)

simplify109.0ms (1.9%)

localize167.0ms (2.9%)

series107.0ms (1.8%)

simplify213.0ms (3.7%)

rewrite217.0ms (3.7%)

eval198.0ms (3.4%)

prune23.0ms (0.4%)

regimes92.0ms (1.6%)

regimes8.0ms (0.1%)

regimes142.0ms (2.5%)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

soundness559.0ms (9.6%)

preprocess141.0ms (2.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	37
1	65	37
2	192	35
3	476	35
4	657	35
5	769	35
6	801	35
0	6	7
0	9	7
1	19	7
2	27	7
3	49	7
4	49	7
0	49	6