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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB 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)

sample450.0ms (15.1%)

Memory

11.7MiB live, 177.9MiB allocated

Samples

274.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-mult: 99.0ms (68.4% of total)

ival-add: 35.0ms (24.2% of total)

ival-true: 5.0ms (3.5% of total)

exact: 4.0ms (2.8% of total)

ival-assert: 3.0ms (2.1% of total)

Bogosity

explain55.0ms (1.9%)

Memory

-3.0MiB live, 31.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
17	-	-	`(.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**	17	0

Confusion

	Predicted +	Predicted -
+	17	0
-	0	239

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	17	0	0
-	0	0	239

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	239
1	17

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

11.958740234375

Average Time

0.046713829040527344

Samples

20.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 6.0ms (64.8% of total)

ival-add: 2.0ms (21.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess25.0ms (0.8%)

Memory

-7.0MiB live, 6.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	37
1	65	37
2	194	35
3	463	35
4	639	35
5	762	35
6	789	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: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.8%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Memory

0.5MiB live, 0.5MiB 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	128	(+.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

localize14.0ms (0.5%)

Memory

-1.2MiB live, 6.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy	0	(*.f64 y y)
accuracy	3.9919936147711623	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

Samples

9.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-mult: 3.0ms (70.1% of total)

ival-add: 1.0ms (23.4% 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))
0.0ms	x	@	-inf	((+ 1 (* y y)) (* x (+ 1 (* y y))) (* y y))
0.0ms	y	@	-inf	((+ 1 (* y y)) (* x (+ 1 (* y y))) (* y y))

simplify180.0ms (6%)

Memory

0.2MiB live, 30.9MiB 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	703	41
5	1926	41
6	2605	41
7	3693	41
8	5036	41
9	5934	41
10	6893	41
11	7236	41
12	7351	41
13	7428	41
14	7497	41
15	7644	41
0	8185	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)

rewrite126.0ms (4.2%)

Memory

9.7MiB live, 52.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	34	15
2	209	15
3	1404	15
0	8269	13

Stop Event

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

Counts

3 → 368

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

eval34.0ms (1.1%)

Memory: -2.1MiB live, 30.0MiB allocated
Compiler: Compiled 9 367 to 1 122 computations (88% saved)

prune26.0ms (0.9%)

Memory

-8.2MiB live, 14.7MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	368	5	373
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	369	5	374

Accuracy

100.0%

Counts

374 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (*.f64 x y) y x)
▶	93.7%	(/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
▶	93.5%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) x))
▶	51.9%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
▶	46.0%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))

Compiler

Compiled 92 to 72 computations (21.7% saved)

simplify6.0ms (0.2%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 y y #s(literal 1 binary64))
cost-diff	0	(pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))
cost-diff	0	(/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) x)
cost-diff	7552	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) x))
cost-diff	0	(fma.f64 y y #s(literal 1 binary64))
cost-diff	0	(pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))
cost-diff	6848	(/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #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))
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 x y)
cost-diff	0	(fma.f64 (*.f64 x y) y x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	106
0	30	97
1	51	97
2	56	97
3	92	97
4	112	97
5	120	97
6	123	97
0	123	97

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize39.0ms (1.3%)

Memory

2.4MiB live, 17.5MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 y y #s(literal 1 binary64))
accuracy	0.1484375	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) x))
accuracy	0.3126144921840904	(pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))
accuracy	4.151176347810944	(/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) x)
accuracy	0	(fma.f64 y y #s(literal 1 binary64))
accuracy	0.3126144921840904	(pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))
accuracy	3.941334359322612	(/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
accuracy	0	(*.f64 y y)
accuracy	6.649781808716608	(.f64 (.f64 y y) x)
accuracy	30.576026126783553	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
accuracy	3.9919936147711623	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
accuracy	30.97921020519799	#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
accuracy	0	(*.f64 x y)
accuracy	0.07421875	(fma.f64 (*.f64 x y) y x)

Samples

28.0ms

256×

valid

Compiler

Compiled 212 to 38 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 7.0ms (42.6% of total)

ival-div: 4.0ms (24.3% of total)

ival-add: 3.0ms (18.3% of total)

ival-pow: 2.0ms (12.2% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.3%)

Memory

-3.6MiB live, 5.2MiB allocated

Counts

12 → 27

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (* (* y y) x) (* y y) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (+ (* y y) 1) (/ 1 (/ (pow (+ (* y y) 1) -1) x)) (/ (pow (+ (* y y) 1) -1) x))
2.0ms	x	@	inf	((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (* (* y y) x) (* y y) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (+ (* y y) 1) (/ 1 (/ (pow (+ (* y y) 1) -1) x)) (/ (pow (+ (* y y) 1) -1) x))
1.0ms	x	@	0	((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (* (* y y) x) (* y y) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (+ (* y y) 1) (/ 1 (/ (pow (+ (* y y) 1) -1) x)) (/ (pow (+ (* y y) 1) -1) x))
1.0ms	y	@	inf	((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (* (* y y) x) (* y y) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (+ (* y y) 1) (/ 1 (/ (pow (+ (* y y) 1) -1) x)) (/ (pow (+ (* y y) 1) -1) x))
1.0ms	y	@	-inf	((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (* (* y y) x) (* y y) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (+ (* y y) 1) (/ 1 (/ (pow (+ (* y y) 1) -1) x)) (/ (pow (+ (* y y) 1) -1) x))

simplify140.0ms (4.7%)

Memory

2.1MiB live, 40.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	283
1	178	279
2	453	271
3	1509	255
4	3749	247
0	8277	234

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 26

Calls

Call 1

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

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

rewrite135.0ms (4.5%)

Memory

-3.1MiB live, 54.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	82
0	30	73
1	108	73
2	625	73
3	6417	73
0	8353	73

Stop Event

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

Counts

12 → 999

Calls

Call 1

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

Outputs
(.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 6 binary64)))) (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))
(.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)))) (fma.f64 y y #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x) (-.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))))
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) (-.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x) (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 2 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 12 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64))))
(.f64 (/.f64 (.f64 x (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x)) (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x x) (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) x) #s(literal 2 binary64)))) (fma.f64 x (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 12 binary64)) (pow.f64 (.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) x) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64)) (.f64 (.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) x) (-.f64 (.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) x) (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64))))))
(.f64 (/.f64 (.f64 x (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x)) (.f64 x (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x))) (fma.f64 (.f64 y x) y x))
(.f64 (.f64 (neg.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal -1 binary64)) x)
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (pow.f64 y #s(literal 4 binary64)) x))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (neg.f64 (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (/.f64 x (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64)))) (/.f64 (neg.f64 x) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64))) (/.f64 x (neg.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 x (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 x (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))
(*.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (/.f64 x (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 x (pow.f64 (+.f64 (pow.f64 y #s(literal 6 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 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (/.f64 #s(literal -1 binary64) (fma.f64 y 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 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x) (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (neg.f64 (fma.f64 y y #s(literal 1 binary64))) x) #s(literal -1 binary64))
(.f64 (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal 1/2 binary64)) (.f64 (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/2 binary64)))
(.f64 (.f64 x (-.f64 x (.f64 (pow.f64 y #s(literal 4 binary64)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(.f64 (pow.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) (.f64 x (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x)))
(.f64 (pow.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (pow.f64 y #s(literal 4 binary64)) x))) #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (neg.f64 (.f64 x (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (.f64 y y) x)))
(.f64 (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))))))
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(*.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) x) (/.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 x)))
(*.f64 (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64))) x))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64)) x))
(*.f64 (pow.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64)) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 x (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64)) x) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64)))))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) x))
(.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) x))
(.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #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 (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) x))
(.f64 (neg.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64))) (.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (neg.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 x)))
(.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/4 binary64)) (.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/4 binary64)) (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64)) x)))
(.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))))
(.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64)) (.f64 (neg.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) x)))
(.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64)) (.f64 (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64)) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64)) x))
(.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (pow.f64 y #s(literal 4 binary64)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))
(.f64 (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x))
(.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64))
(/.f64 (/.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (pow.f64 y #s(literal 4 binary64)) x))) (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (pow.f64 y #s(literal 4 binary64)) x)))) (fma.f64 (*.f64 y x) y x))
(/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (/.f64 (pow.f64 x #s(literal -1 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 (pow.f64 x #s(literal -1 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 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (neg.f64 (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (pow.f64 y #s(literal 4 binary64)) x))) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x))) (pow.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (/.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 (.f64 y x) y x)) (*.f64 x (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) x) #s(literal 2 binary64))) (.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (.f64 x (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x)) (fma.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x x) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 12 binary64)) (pow.f64 (.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) x) #s(literal 3 binary64))) (.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64)) (.f64 (.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) x) (-.f64 (.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) x) (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (neg.f64 x) (.f64 y y) x) (neg.f64 (.f64 x (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x))))
(/.f64 (neg.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (pow.f64 y #s(literal 4 binary64)) x)))) (neg.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) (.f64 x (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x)))
(/.f64 (.f64 x (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x)) (.f64 (.f64 x (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x)) (fma.f64 (.f64 y x) y x)))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64)))
(/.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (pow.f64 y #s(literal 4 binary64)) x))) (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #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 (neg.f64 (fma.f64 y y #s(literal 1 binary64))) x))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) y x))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x))
(-.f64 (/.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x x)) (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 y y) x) (.f64 x (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x))) (/.f64 x (.f64 x (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) x))
(exp.f64 (neg.f64 (.f64 (neg.f64 (+.f64 (log.f64 x) (log1p.f64 (.f64 y y)))) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (neg.f64 (+.f64 (log.f64 x) (log1p.f64 (*.f64 y y)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (neg.f64 (+.f64 (log.f64 x) (log1p.f64 (.f64 y y)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (+.f64 (log.f64 x) (log1p.f64 (.f64 y y))) #s(literal -1 binary64)))

eval91.0ms (3%)

Memory: 5.4MiB live, 71.7MiB allocated
Compiler: Compiled 18 540 to 2 327 computations (87.4% saved)

prune14.0ms (0.5%)

Memory

-0.2MiB live, 34.3MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	879	6	885
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	881	9	890

Accuracy

100.0%

Counts

890 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x y) y x)
▶	99.4%	(pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
▶	93.6%	(/.f64 (neg.f64 (fma.f64 y y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))
▶	45.9%	(/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
▶	45.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x))
	99.3%	(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1/2 binary64))))
✓	51.9%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
✓	46.0%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
▶	52.1%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))

Compiler

Compiled 194 to 139 computations (28.4% saved)

simplify43.0ms (1.4%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 y y))
cost-diff	0	#s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
cost-diff	0	(/.f64 #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x)
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	(fma.f64 y y #s(literal 1 binary64))
cost-diff	0	(neg.f64 (fma.f64 y y #s(literal 1 binary64)))
cost-diff	1216	(/.f64 (neg.f64 (fma.f64 y y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))
cost-diff	0	(*.f64 y y)
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 y y))
cost-diff	0	#s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
cost-diff	0	(/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
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))
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 (*.f64 y x) y x)
cost-diff	5824	(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/2 binary64))
cost-diff	7104	(pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/2 binary64)) #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	169
0	41	158
1	71	158
2	110	158
3	207	158
4	405	158
5	837	158
6	1260	158
7	1634	158
8	1838	158
9	1884	158
10	1931	158
11	1940	158
0	1940	158

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize58.0ms (1.9%)

Memory

-1.7MiB live, 24.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.1484375	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x))
accuracy	0.3829269921840904	(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy	4.151176347810944	(/.f64 #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x)
accuracy	30.891470988069536	#s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
accuracy	0	(fma.f64 y y #s(literal 1 binary64))
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	0	(neg.f64 (fma.f64 y y #s(literal 1 binary64)))
accuracy	4.120899864771162	(/.f64 (neg.f64 (fma.f64 y y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))
accuracy	0	(*.f64 y y)
accuracy	0.3829269921840904	(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy	3.941334359322612	(/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
accuracy	30.891470988069536	#s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
accuracy	0	(*.f64 y x)
accuracy	0.12890625	(.f64 (.f64 y x) y)
accuracy	30.576026126783553	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))
accuracy	0	(*.f64 y x)
accuracy	0.07421875	(fma.f64 (*.f64 y x) y x)
accuracy	0.35546875	(pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
accuracy	10.316828665311112	(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/2 binary64))

Samples

40.0ms

256×

valid

Compiler

Compiled 320 to 54 computations (83.1% saved)

Precisions

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

ival-div: 8.0ms (32.7% of total)

ival-mult: 6.0ms (24.5% of total)

ival-add: 3.0ms (12.3% of total)

ival-sqrt: 2.0ms (8.2% of total)

ival-pow: 2.0ms (8.2% of total)

ival-pow2: 2.0ms (8.2% of total)

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

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.4%)

Memory

-1.2MiB live, 6.3MiB allocated

Counts

16 → 46

Calls

Call 1

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

Outputs
(* x (+ 1 (pow y 2)))
(sqrt (* x (+ 1 (pow y 2))))
(* x y)
(* x (pow y 2))
(/ -1 x)
(/ 1 (* x (+ 1 (pow y 2))))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1)))
x
(+ x (* x (pow y 2)))
(sqrt x)
(+ (sqrt x) (* 1/2 (* (sqrt x) (pow y 2))))
(+ (sqrt x) (* (pow y 2) (+ (* -1/8 (* (sqrt x) (pow y 2))) (* 1/2 (sqrt x)))))
(+ (sqrt x) (* (pow y 2) (+ (* 1/2 (sqrt x)) (* (pow y 2) (+ (* -1/8 (sqrt x)) (* 1/16 (* (sqrt x) (pow y 2))))))))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (pow y 2) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1 (* -1 (pow y 2)))) 1)))
(/ 1 (pow y 2))
(pow y 2)
-1
(- (* -1 (pow y 2)) 1)
(+ 1 (pow y 2))
(/ 1 x)
(+ (* -1 (/ (pow y 2) x)) (/ 1 x))
(+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x))
(+ (* (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))))
(* (sqrt x) y)
(* y (+ (sqrt x) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))
(* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))
(* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (+ (* 1/16 (* (sqrt x) (/ 1 (pow y 6)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))))
(/ (- 1 (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2))
(* -1 (pow y 2))
(* -1 (* (pow y 2) (+ 1 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(/ 1 (* x (pow y 2)))
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2))
(* -1 (* (sqrt x) y))
(* -1 (* y (+ (sqrt x) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))
(* -1 (* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))))
(* -1 (* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (+ (* 1/16 (* (sqrt x) (/ 1 (pow y 6)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	((pow (pow (+ (* (* y x) y) x) 1/2) 2) (pow (+ (* (* y x) y) x) 1/2) (+ (* (* y x) y) x) (* y x) (* x (+ 1 (* y y))) (* (* y x) y) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (/ 1 (* y y)) (* y y) (/ (neg (+ (* y y) 1)) (/ -1 x)) (neg (+ (* y y) 1)) (+ (* y y) 1) (/ -1 x) (/ 1 (/ (pow (+ (* y y) 1) -1) x)) (/ (pow (+ (* y y) 1) -1) x))
2.0ms	x	@	inf	((pow (pow (+ (* (* y x) y) x) 1/2) 2) (pow (+ (* (* y x) y) x) 1/2) (+ (* (* y x) y) x) (* y x) (* x (+ 1 (* y y))) (* (* y x) y) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (/ 1 (* y y)) (* y y) (/ (neg (+ (* y y) 1)) (/ -1 x)) (neg (+ (* y y) 1)) (+ (* y y) 1) (/ -1 x) (/ 1 (/ (pow (+ (* y y) 1) -1) x)) (/ (pow (+ (* y y) 1) -1) x))
2.0ms	x	@	-inf	((pow (pow (+ (* (* y x) y) x) 1/2) 2) (pow (+ (* (* y x) y) x) 1/2) (+ (* (* y x) y) x) (* y x) (* x (+ 1 (* y y))) (* (* y x) y) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (/ 1 (* y y)) (* y y) (/ (neg (+ (* y y) 1)) (/ -1 x)) (neg (+ (* y y) 1)) (+ (* y y) 1) (/ -1 x) (/ 1 (/ (pow (+ (* y y) 1) -1) x)) (/ (pow (+ (* y y) 1) -1) x))
1.0ms	y	@	inf	((pow (pow (+ (* (* y x) y) x) 1/2) 2) (pow (+ (* (* y x) y) x) 1/2) (+ (* (* y x) y) x) (* y x) (* x (+ 1 (* y y))) (* (* y x) y) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (/ 1 (* y y)) (* y y) (/ (neg (+ (* y y) 1)) (/ -1 x)) (neg (+ (* y y) 1)) (+ (* y y) 1) (/ -1 x) (/ 1 (/ (pow (+ (* y y) 1) -1) x)) (/ (pow (+ (* y y) 1) -1) x))
1.0ms	y	@	-inf	((pow (pow (+ (* (* y x) y) x) 1/2) 2) (pow (+ (* (* y x) y) x) 1/2) (+ (* (* y x) y) x) (* y x) (* x (+ 1 (* y y))) (* (* y x) y) (/ x (pow (+ (* y y) 1) -1)) (pow (+ (* y y) 1) -1) (/ 1 (* y y)) (* y y) (/ (neg (+ (* y y) 1)) (/ -1 x)) (neg (+ (* y y) 1)) (+ (* y y) 1) (/ -1 x) (/ 1 (/ (pow (+ (* y y) 1) -1) x)) (/ (pow (+ (* y y) 1) -1) x))

simplify138.0ms (4.6%)

Memory

5.6MiB live, 40.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	554
1	324	526
2	954	491
3	3176	456
4	7431	456
0	8384	434

Stop Event

1×	iter limit
1×	node limit

Counts

46 → 45

Calls

Call 1

Inputs
(* x (+ 1 (pow y 2)))
(sqrt (* x (+ 1 (pow y 2))))
(* x y)
(* x (pow y 2))
(/ -1 x)
(/ 1 (* x (+ 1 (pow y 2))))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1)))
x
(+ x (* x (pow y 2)))
(sqrt x)
(+ (sqrt x) (* 1/2 (* (sqrt x) (pow y 2))))
(+ (sqrt x) (* (pow y 2) (+ (* -1/8 (* (sqrt x) (pow y 2))) (* 1/2 (sqrt x)))))
(+ (sqrt x) (* (pow y 2) (+ (* 1/2 (sqrt x)) (* (pow y 2) (+ (* -1/8 (sqrt x)) (* 1/16 (* (sqrt x) (pow y 2))))))))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (pow y 2) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1 (* -1 (pow y 2)))) 1)))
(/ 1 (pow y 2))
(pow y 2)
-1
(- (* -1 (pow y 2)) 1)
(+ 1 (pow y 2))
(/ 1 x)
(+ (* -1 (/ (pow y 2) x)) (/ 1 x))
(+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x))
(+ (* (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))))
(* (sqrt x) y)
(* y (+ (sqrt x) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))
(* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))
(* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (+ (* 1/16 (* (sqrt x) (/ 1 (pow y 6)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))))
(/ (- 1 (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2))
(* -1 (pow y 2))
(* -1 (* (pow y 2) (+ 1 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(/ 1 (* x (pow y 2)))
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2))
(* -1 (* (sqrt x) y))
(* -1 (* y (+ (sqrt x) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))
(* -1 (* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))))
(* -1 (* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (+ (* 1/16 (* (sqrt x) (/ 1 (pow y 6)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))))

Outputs
(* x (+ 1 (pow y 2)))
(fma.f64 (*.f64 y y) x x)
(sqrt (* x (+ 1 (pow y 2))))
(sqrt.f64 (fma.f64 (*.f64 y y) x x))
(* x y)
(*.f64 x y)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ 1 (* x (+ 1 (pow y 2))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) x x))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(fma.f64 (*.f64 y y) x x)
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1)))
(.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) x)))
x
(+ x (* x (pow y 2)))
(fma.f64 (*.f64 y y) x x)
(sqrt x)
(sqrt.f64 x)
(+ (sqrt x) (* 1/2 (* (sqrt x) (pow y 2))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64)) (sqrt.f64 x))
(+ (sqrt x) (* (pow y 2) (+ (* -1/8 (* (sqrt x) (pow y 2))) (* 1/2 (sqrt x)))))
(.f64 (sqrt.f64 x) (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))))
(+ (sqrt x) (* (pow y 2) (+ (* 1/2 (sqrt x)) (* (pow y 2) (+ (* -1/8 (sqrt x)) (* 1/16 (* (sqrt x) (pow y 2))))))))
(fma.f64 (.f64 (sqrt.f64 x) (fma.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal -1/8 binary64) (.f64 y y) #s(literal 1/2 binary64)))) (*.f64 y y) (sqrt.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(+ 1 (* (pow y 2) (- (pow y 2) 1)))
(-.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1 (* -1 (pow y 2)))) 1)))
(.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y y)))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(pow y 2)
(*.f64 y y)
-1
#s(literal -1 binary64)
(- (* -1 (pow y 2)) 1)
(-.f64 #s(literal -1 binary64) (*.f64 y y))
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ (pow y 2) x)) (/ 1 x))
(neg.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) x))
(+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x))
(fma.f64 (/.f64 y x) (-.f64 (pow.f64 y #s(literal 3 binary64)) y) (/.f64 #s(literal 1 binary64) x))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) x)))
(* (pow y 2) (+ x (/ x (pow y 2))))
(fma.f64 (*.f64 y y) x x)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* y (+ (sqrt x) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) y) y))
(* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))
(fma.f64 (sqrt.f64 x) (fma.f64 y (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) y))
(* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (+ (* 1/16 (* (sqrt x) (/ 1 (pow y 6)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))))
(.f64 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1 binary64)))) y)
(/ (- 1 (/ 1 (pow y 2))) (pow y 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) y) y)
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 1 binary64))) (.f64 y y))
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y))) y) y)) (.f64 y y))
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (* (pow y 2) (+ 1 (/ 1 (pow y 2)))))
(-.f64 #s(literal -1 binary64) (*.f64 y y))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(/ 1 (* x (pow y 2)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) x)) (*.f64 y y))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 4 binary64)))) (.f64 y y))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2))
(/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) x)) (.f64 y y))
(* -1 (* (sqrt x) y))
(*.f64 (neg.f64 y) (sqrt.f64 x))
(* -1 (* y (+ (sqrt x) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))
(*.f64 (sqrt.f64 x) (-.f64 (neg.f64 y) (/.f64 #s(literal 1/2 binary64) y)))
(* -1 (* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))))
(neg.f64 (fma.f64 (sqrt.f64 x) (fma.f64 y (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) y)))
(* -1 (* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (+ (* 1/16 (* (sqrt x) (/ 1 (pow y 6)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))))
(.f64 (neg.f64 y) (.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal 1 binary64)))))

rewrite137.0ms (4.6%)

Memory

5.3MiB live, 66.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	130
0	41	119
1	158	109
2	902	109
0	8315	109

Stop Event

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

Counts

16 → 1 681

Calls

Call 1

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

Outputs
(.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 6 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 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)))) (fma.f64 y y #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) x) (-.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))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 3 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64))) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y y))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) x) (+.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (pow.f64 y #s(literal 4 binary64))))))
(.f64 (/.f64 (.f64 x (-.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 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 y y)))
(.f64 (/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 x (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 x (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x) (-.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))))
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 3 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64))) (.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y))))
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x) (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x) (+.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 x) x)) (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 x (fma.f64 (.f64 x y) y x))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 4 binary64)) (pow.f64 (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 6 binary64)) (pow.f64 (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 4 binary64)) (.f64 (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)))) (-.f64 (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)))) (pow.f64 (.f64 (*.f64 y y) x) #s(literal 2 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 x) x)) (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 x) x))) (fma.f64 (.f64 x y) y x))
(.f64 (.f64 (pow.f64 (fma.f64 (.f64 x y) y x) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 (.f64 x y) y x) #s(literal 1/8 binary64))) (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 x y) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 y y)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 x (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))
(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 x y) y x) #s(literal 3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (*.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))) x) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y 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 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) 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 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 y y)) #s(literal -1 binary64)))
(.f64 (.f64 x (-.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 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 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x) (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x) (pow.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 y y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 x y) y x) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 x y) y x) #s(literal 1/8 binary64)) (.f64 (pow.f64 (fma.f64 (.f64 x y) y x) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal 3/4 binary64))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)))))
(.f64 (pow.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 x) x)))
(.f64 (pow.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))))) #s(literal -1 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 (neg.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (.f64 x y) x)))
(.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)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))))))))
(.f64 (.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) x) #s(literal -1 binary64))
(.f64 (pow.f64 (fma.f64 (.f64 x y) y x) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 x y) y x) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal 3/4 binary64)))
(.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 (neg.f64 x) x)) (pow.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) x))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64)) (pow.f64 x #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 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) x))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))))) (/.f64 (fma.f64 (.f64 x y) y x) (fma.f64 x x (.f64 (.f64 (.f64 y y) x) (.f64 x (fma.f64 y y #s(literal -1 binary64)))))))
(.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))))) (/.f64 (fma.f64 (.f64 x y) y x) (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)))))))
(.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))))) (.f64 (fma.f64 (.f64 x y) y x) (pow.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))))) #s(literal -1 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))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (.f64 (.f64 y y) x) (*.f64 x (fma.f64 y y #s(literal -1 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))) (pow.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))))) #s(literal -1 binary64)))
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(.f64 #s(literal -1 binary64) (/.f64 #s(approx (pow (+ ( y y) 1) -1) (pow.f64 y #s(literal -2 binary64))) (neg.f64 x)))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (+ ( y y) 1) -1) (pow.f64 y #s(literal -2 binary64))) x))
(pow.f64 (/.f64 #s(approx (pow (+ (* y y) 1) -1) (pow.f64 y #s(literal -2 binary64))) x) #s(literal 1 binary64))
(pow.f64 (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (pow.f64 y #s(literal -2 binary64)))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(approx (pow (+ (* y y) 1) -1) (pow.f64 y #s(literal -2 binary64))) x) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(approx (pow (+ (* y y) 1) -1) (pow.f64 y #s(literal -2 binary64))) x) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (pow (+ (* y y) 1) -1) (pow.f64 y #s(literal -2 binary64))))) (neg.f64 x))
(/.f64 (.f64 #s(approx (pow (+ ( y y) 1) -1) (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (/.f64 (neg.f64 #s(approx (pow (+ (* y y) 1) -1) (pow.f64 y #s(literal -2 binary64)))) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (.f64 (neg.f64 #s(approx (pow (+ ( y y) 1) -1) (pow.f64 y #s(literal -2 binary64)))) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (.f64 (neg.f64 #s(approx (pow (+ ( y y) 1) -1) (pow.f64 y #s(literal -2 binary64)))) #s(literal -1 binary64)) x)
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 #s(approx (pow (+ ( y y) 1) -1) (pow.f64 y #s(literal -2 binary64))))) (neg.f64 x))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 #s(approx (pow (+ (* y y) 1) -1) (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64)))
(/.f64 (neg.f64 #s(approx (pow (+ (* y y) 1) -1) (pow.f64 y #s(literal -2 binary64)))) (neg.f64 x))
(/.f64 (/.f64 #s(approx (pow (+ (* y y) 1) -1) (pow.f64 y #s(literal -2 binary64))) (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(approx (pow (+ (* y y) 1) -1) (pow.f64 y #s(literal -2 binary64))) x) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) #s(approx (pow (+ (* y y) 1) -1) (pow.f64 y #s(literal -2 binary64)))))
(/.f64 #s(approx (pow (+ (* y y) 1) -1) (pow.f64 y #s(literal -2 binary64))) x)
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) #s(approx (pow (+ (* y y) 1) -1) (pow.f64 y #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (pow (+ (* y y) 1) -1) (pow.f64 y #s(literal -2 binary64)))))
(neg.f64 (/.f64 #s(approx (pow (+ (* y y) 1) -1) (pow.f64 y #s(literal -2 binary64))) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 #s(approx (pow (+ (* y y) 1) -1) (pow.f64 y #s(literal -2 binary64))) #s(literal -1 binary64))) (/.f64 #s(approx (pow (+ (* y y) 1) -1) (pow.f64 y #s(literal -2 binary64))) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 #s(approx (pow (+ (* y y) 1) -1) (pow.f64 y #s(literal -2 binary64))) (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (pow (+ (* y y) 1) -1) (pow.f64 y #s(literal -2 binary64))) (neg.f64 x)))
(exp.f64 (neg.f64 (.f64 (log.f64 (/.f64 #s(approx (pow (+ ( y y) 1) -1) (pow.f64 y #s(literal -2 binary64))) x)) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 #s(approx (pow (+ (* y y) 1) -1) (pow.f64 y #s(literal -2 binary64))) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (pow (+ ( y y) 1) -1) (pow.f64 y #s(literal -2 binary64))) x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 x #s(approx (pow (+ ( y y) 1) -1) (pow.f64 y #s(literal -2 binary64))))) #s(literal -1 binary64)))

eval120.0ms (4%)

Memory: -2.8MiB live, 85.0MiB allocated
Compiler: Compiled 20 787 to 2 856 computations (86.3% saved)

prune15.0ms (0.5%)

Memory

-3.4MiB live, 38.6MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	1 043	3	1 046
Fresh	1	0	1
Picked	2	3	5
Done	0	3	3
Total	1 046	9	1 055

Accuracy

100.0%

Counts

1 055 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x y) y x)
▶	99.0%	(pow.f64 (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal 1/4 binary64)) #s(literal 4 binary64))
▶	45.9%	(/.f64 #s(approx (neg (+ (* y y) 1)) (*.f64 (neg.f64 y) y)) (/.f64 #s(literal -1 binary64) x))
✓	45.9%	(/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
✓	45.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x))
▶	99.4%	(.f64 (sqrt.f64 (fma.f64 (.f64 x y) y x)) (sqrt.f64 (fma.f64 (*.f64 x y) y x)))
✓	51.9%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
✓	46.0%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
✓	52.1%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))

Compiler

Compiled 113 to 81 computations (28.3% saved)

simplify35.0ms (1.2%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	0	(fma.f64 (*.f64 x y) y x)
cost-diff	0	(pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal 1/4 binary64))
cost-diff	0	(pow.f64 (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal 1/4 binary64)) #s(literal 4 binary64))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) y)
cost-diff	0	#s(approx (neg (+ (* y y) 1)) (*.f64 (neg.f64 y) y))
cost-diff	960	(/.f64 #s(approx (neg (+ (* y y) 1)) (*.f64 (neg.f64 y) y)) (/.f64 #s(literal -1 binary64) x))
cost-diff	0	(*.f64 x y)
cost-diff	0	(fma.f64 (*.f64 x y) y x)
cost-diff	0	(sqrt.f64 (fma.f64 (*.f64 x y) y x))
cost-diff	2304	(.f64 (sqrt.f64 (fma.f64 (.f64 x y) y x)) (sqrt.f64 (fma.f64 (*.f64 x y) y x)))

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	20	102
0	31	93
1	48	91
2	69	91
3	88	91
4	101	91
5	117	91
6	146	91
7	198	91
8	208	90
9	256	90
10	279	90
11	284	90
12	288	90
13	295	90
14	325	90
15	372	90
16	447	90
17	577	90
18	704	90
19	807	90
20	849	90
21	864	90
22	875	90
23	876	90
0	876	90

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize52.0ms (1.8%)

Memory

-2.2MiB live, 19.0MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x y)
accuracy	0.07421875	(fma.f64 (*.f64 x y) y x)
accuracy	0.6581767091167754	(pow.f64 (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal 1/4 binary64)) #s(literal 4 binary64))
accuracy	13.653521871593227	(pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal 1/4 binary64))
accuracy	0	(*.f64 (neg.f64 y) y)
accuracy	0	(neg.f64 y)
accuracy	4.120899864771162	(/.f64 #s(approx (neg (+ (* y y) 1)) (*.f64 (neg.f64 y) y)) (/.f64 #s(literal -1 binary64) x))
accuracy	30.895048071754513	#s(approx (neg (+ (* y y) 1)) (*.f64 (neg.f64 y) y))
accuracy	0	(*.f64 x y)
accuracy	0.07421875	(fma.f64 (*.f64 x y) y x)
accuracy	0.35546875	(.f64 (sqrt.f64 (fma.f64 (.f64 x y) y x)) (sqrt.f64 (fma.f64 (*.f64 x y) y x)))
accuracy	10.312922415311112	(sqrt.f64 (fma.f64 (*.f64 x y) y x))

Samples

36.0ms

256×

valid

Compiler

Compiled 203 to 42 computations (79.3% saved)

Precisions

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

ival-mult: 7.0ms (29.6% of total)

ival-pow: 7.0ms (29.6% of total)

ival-div: 3.0ms (12.7% of total)

ival-add: 2.0ms (8.5% of total)

ival-sqrt: 2.0ms (8.5% of total)

ival-neg: 2.0ms (8.5% of total)

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

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

exact: 0.0ms (0% of total)

series63.0ms (2.1%)

Memory

-3.4MiB live, 26.5MiB allocated

Counts

10 → 41

Calls

Call 1

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

Outputs
(* x (+ 1 (pow y 2)))
(sqrt (* x (+ 1 (pow y 2))))
(* x y)
(exp (* 1/4 (+ (log x) (log (+ 1 (pow y 2))))))
(exp (* 1/4 (+ (log (+ 1 (pow y 2))) (* -1 (log (/ 1 x))))))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1)))
(exp (* 1/4 (+ (log (- (* -1 (pow y 2)) 1)) (* -1 (log (/ -1 x))))))
x
(+ x (* x (pow y 2)))
(sqrt x)
(+ (sqrt x) (* 1/2 (* (sqrt x) (pow y 2))))
(+ (sqrt x) (* (pow y 2) (+ (* -1/8 (* (sqrt x) (pow y 2))) (* 1/2 (sqrt x)))))
(+ (sqrt x) (* (pow y 2) (+ (* 1/2 (sqrt x)) (* (pow y 2) (+ (* -1/8 (sqrt x)) (* 1/16 (* (sqrt x) (pow y 2))))))))
-1
(- (* -1 (pow y 2)) 1)
(* -1 (pow y 2))
(* -1 y)
(pow (* 1 x) 1/4)
(+ (* 1/4 (* (pow (* 1 x) 1/4) (pow y 2))) (pow (* 1 x) 1/4))
(+ (* (pow y 2) (+ (* -3/32 (* (pow (* 1 x) 1/4) (pow y 2))) (* 1/4 (pow (* 1 x) 1/4)))) (pow (* 1 x) 1/4))
(+ (* (pow y 2) (+ (* 1/4 (pow (* 1 x) 1/4)) (* (pow y 2) (+ (* -3/32 (pow (* 1 x) 1/4)) (* 7/128 (* (pow (* 1 x) 1/4) (pow y 2))))))) (pow (* 1 x) 1/4))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (sqrt x) y)
(* y (+ (sqrt x) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))
(* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))
(* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (+ (* 1/16 (* (sqrt x) (/ 1 (pow y 6)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))))
(* -1 (* (pow y 2) (+ 1 (/ 1 (pow y 2)))))
(exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y))))))
(+ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (* 1/4 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (pow y 2))))
(+ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (+ (* -3/32 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (pow y 4))) (* 1/4 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (pow y 2)))))
(+ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (+ (* -3/32 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (pow y 4))) (+ (* 7/128 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (pow y 6))) (* 1/4 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (pow y 2))))))
(* -1 (* (sqrt x) y))
(* -1 (* y (+ (sqrt x) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))
(* -1 (* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))))
(* -1 (* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (+ (* 1/16 (* (sqrt x) (/ 1 (pow y 6)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))))
(exp (* 1/4 (+ (log x) (* -2 (log (/ -1 y))))))
(+ (exp (* 1/4 (+ (log x) (* -2 (log (/ -1 y)))))) (* 1/4 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ -1 y)))))) (pow y 2))))
(+ (exp (* 1/4 (+ (log x) (* -2 (log (/ -1 y)))))) (+ (* -3/32 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ -1 y)))))) (pow y 4))) (* 1/4 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ -1 y)))))) (pow y 2)))))
(+ (exp (* 1/4 (+ (log x) (* -2 (log (/ -1 y)))))) (+ (* -3/32 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ -1 y)))))) (pow y 4))) (+ (* 7/128 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ -1 y)))))) (pow y 6))) (* 1/4 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ -1 y)))))) (pow y 2))))))

Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	x	@	0	((* (sqrt (+ (* (* x y) y) x)) (sqrt (+ (* (* x y) y) x))) (sqrt (+ (* (* x y) y) x)) (+ (* (* x y) y) x) (* x y) (/ (neg (+ (* y y) 1)) (/ -1 x)) (neg (+ (* y y) 1)) (* (neg y) y) (neg y) (pow (pow (+ (* (* x y) y) x) 1/4) 4) (pow (+ (* (* x y) y) x) 1/4))
20.0ms	x	@	-inf	((* (sqrt (+ (* (* x y) y) x)) (sqrt (+ (* (* x y) y) x))) (sqrt (+ (* (* x y) y) x)) (+ (* (* x y) y) x) (* x y) (/ (neg (+ (* y y) 1)) (/ -1 x)) (neg (+ (* y y) 1)) (* (neg y) y) (neg y) (pow (pow (+ (* (* x y) y) x) 1/4) 4) (pow (+ (* (* x y) y) x) 1/4))
7.0ms	x	@	inf	((* (sqrt (+ (* (* x y) y) x)) (sqrt (+ (* (* x y) y) x))) (sqrt (+ (* (* x y) y) x)) (+ (* (* x y) y) x) (* x y) (/ (neg (+ (* y y) 1)) (/ -1 x)) (neg (+ (* y y) 1)) (* (neg y) y) (neg y) (pow (pow (+ (* (* x y) y) x) 1/4) 4) (pow (+ (* (* x y) y) x) 1/4))
5.0ms	y	@	inf	((* (sqrt (+ (* (* x y) y) x)) (sqrt (+ (* (* x y) y) x))) (sqrt (+ (* (* x y) y) x)) (+ (* (* x y) y) x) (* x y) (/ (neg (+ (* y y) 1)) (/ -1 x)) (neg (+ (* y y) 1)) (* (neg y) y) (neg y) (pow (pow (+ (* (* x y) y) x) 1/4) 4) (pow (+ (* (* x y) y) x) 1/4))
2.0ms	y	@	-inf	((* (sqrt (+ (* (* x y) y) x)) (sqrt (+ (* (* x y) y) x))) (sqrt (+ (* (* x y) y) x)) (+ (* (* x y) y) x) (* x y) (/ (neg (+ (* y y) 1)) (/ -1 x)) (neg (+ (* y y) 1)) (* (neg y) y) (neg y) (pow (pow (+ (* (* x y) y) x) 1/4) 4) (pow (+ (* (* x y) y) x) 1/4))

simplify152.0ms (5.1%)

Memory

2.0MiB live, 40.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	733
1	409	708
2	1148	615
3	3312	532
4	7470	532
0	8131	503

Stop Event

1×	iter limit
1×	node limit

Counts

41 → 40

Calls

Call 1

Inputs
(* x (+ 1 (pow y 2)))
(sqrt (* x (+ 1 (pow y 2))))
(* x y)
(exp (* 1/4 (+ (log x) (log (+ 1 (pow y 2))))))
(exp (* 1/4 (+ (log (+ 1 (pow y 2))) (* -1 (log (/ 1 x))))))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1)))
(exp (* 1/4 (+ (log (- (* -1 (pow y 2)) 1)) (* -1 (log (/ -1 x))))))
x
(+ x (* x (pow y 2)))
(sqrt x)
(+ (sqrt x) (* 1/2 (* (sqrt x) (pow y 2))))
(+ (sqrt x) (* (pow y 2) (+ (* -1/8 (* (sqrt x) (pow y 2))) (* 1/2 (sqrt x)))))
(+ (sqrt x) (* (pow y 2) (+ (* 1/2 (sqrt x)) (* (pow y 2) (+ (* -1/8 (sqrt x)) (* 1/16 (* (sqrt x) (pow y 2))))))))
-1
(- (* -1 (pow y 2)) 1)
(* -1 (pow y 2))
(* -1 y)
(pow (* 1 x) 1/4)
(+ (* 1/4 (* (pow (* 1 x) 1/4) (pow y 2))) (pow (* 1 x) 1/4))
(+ (* (pow y 2) (+ (* -3/32 (* (pow (* 1 x) 1/4) (pow y 2))) (* 1/4 (pow (* 1 x) 1/4)))) (pow (* 1 x) 1/4))
(+ (* (pow y 2) (+ (* 1/4 (pow (* 1 x) 1/4)) (* (pow y 2) (+ (* -3/32 (pow (* 1 x) 1/4)) (* 7/128 (* (pow (* 1 x) 1/4) (pow y 2))))))) (pow (* 1 x) 1/4))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (sqrt x) y)
(* y (+ (sqrt x) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))
(* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))
(* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (+ (* 1/16 (* (sqrt x) (/ 1 (pow y 6)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))))
(* -1 (* (pow y 2) (+ 1 (/ 1 (pow y 2)))))
(exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y))))))
(+ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (* 1/4 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (pow y 2))))
(+ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (+ (* -3/32 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (pow y 4))) (* 1/4 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (pow y 2)))))
(+ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (+ (* -3/32 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (pow y 4))) (+ (* 7/128 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (pow y 6))) (* 1/4 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (pow y 2))))))
(* -1 (* (sqrt x) y))
(* -1 (* y (+ (sqrt x) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))
(* -1 (* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))))
(* -1 (* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (+ (* 1/16 (* (sqrt x) (/ 1 (pow y 6)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))))
(exp (* 1/4 (+ (log x) (* -2 (log (/ -1 y))))))
(+ (exp (* 1/4 (+ (log x) (* -2 (log (/ -1 y)))))) (* 1/4 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ -1 y)))))) (pow y 2))))
(+ (exp (* 1/4 (+ (log x) (* -2 (log (/ -1 y)))))) (+ (* -3/32 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ -1 y)))))) (pow y 4))) (* 1/4 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ -1 y)))))) (pow y 2)))))
(+ (exp (* 1/4 (+ (log x) (* -2 (log (/ -1 y)))))) (+ (* -3/32 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ -1 y)))))) (pow y 4))) (+ (* 7/128 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ -1 y)))))) (pow y 6))) (* 1/4 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ -1 y)))))) (pow y 2))))))

Outputs
(* x (+ 1 (pow y 2)))
(fma.f64 (*.f64 y y) x x)
(sqrt (* x (+ 1 (pow y 2))))
(sqrt.f64 (fma.f64 (*.f64 y y) x x))
(* x y)
(*.f64 y x)
(exp (* 1/4 (+ (log x) (log (+ 1 (pow y 2))))))
(pow.f64 (fma.f64 (*.f64 y y) x x) #s(literal 1/4 binary64))
(exp (* 1/4 (+ (log (+ 1 (pow y 2))) (* -1 (log (/ 1 x))))))
(pow.f64 (fma.f64 (*.f64 y y) x x) #s(literal 1/4 binary64))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(fma.f64 (*.f64 y y) x x)
(* -1 (* (sqrt (* x (- (* -1 (pow y 2)) 1))) (sqrt -1)))
(.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) x)))
(exp (* 1/4 (+ (log (- (* -1 (pow y 2)) 1)) (* -1 (log (/ -1 x))))))
(pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/4 binary64))
x
(+ x (* x (pow y 2)))
(fma.f64 (*.f64 y y) x x)
(sqrt x)
(sqrt.f64 x)
(+ (sqrt x) (* 1/2 (* (sqrt x) (pow y 2))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64)) (sqrt.f64 x))
(+ (sqrt x) (* (pow y 2) (+ (* -1/8 (* (sqrt x) (pow y 2))) (* 1/2 (sqrt x)))))
(.f64 (sqrt.f64 x) (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))))
(+ (sqrt x) (* (pow y 2) (+ (* 1/2 (sqrt x)) (* (pow y 2) (+ (* -1/8 (sqrt x)) (* 1/16 (* (sqrt x) (pow y 2))))))))
(fma.f64 (.f64 (sqrt.f64 x) (fma.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal -1/8 binary64) (.f64 y y) #s(literal 1/2 binary64)))) (*.f64 y y) (sqrt.f64 x))
-1
#s(literal -1 binary64)
(- (* -1 (pow y 2)) 1)
(-.f64 #s(literal -1 binary64) (*.f64 y y))
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 y)
(neg.f64 y)
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(+ (* 1/4 (* (pow (* 1 x) 1/4) (pow y 2))) (pow (* 1 x) 1/4))
(.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(+ (* (pow y 2) (+ (* -3/32 (* (pow (* 1 x) 1/4) (pow y 2))) (* 1/4 (pow (* 1 x) 1/4)))) (pow (* 1 x) 1/4))
(fma.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 #s(literal -3/32 binary64) (.f64 y y) #s(literal 1/4 binary64))) (*.f64 y y) (pow.f64 x #s(literal 1/4 binary64)))
(+ (* (pow y 2) (+ (* 1/4 (pow (* 1 x) 1/4)) (* (pow y 2) (+ (* -3/32 (pow (* 1 x) 1/4)) (* 7/128 (* (pow (* 1 x) 1/4) (pow y 2))))))) (pow (* 1 x) 1/4))
(fma.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 #s(literal 7/128 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal -3/32 binary64) (.f64 y y) #s(literal 1/4 binary64)))) (*.f64 y y) (pow.f64 x #s(literal 1/4 binary64)))
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(fma.f64 (*.f64 y y) x x)
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* y (+ (sqrt x) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))
(*.f64 (sqrt.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) y) y))
(* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))
(fma.f64 (sqrt.f64 x) (fma.f64 y (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) y))
(* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (+ (* 1/16 (* (sqrt x) (/ 1 (pow y 6)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))))
(.f64 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))))) y)
(* -1 (* (pow y 2) (+ 1 (/ 1 (pow y 2)))))
(-.f64 #s(literal -1 binary64) (*.f64 y y))
(exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y))))))
(pow.f64 (.f64 (.f64 y y) x) #s(literal 1/4 binary64))
(+ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (* 1/4 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (pow y 2))))
(fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) y) (/.f64 (pow.f64 y #s(literal 1/2 binary64)) y) (pow.f64 (.f64 (*.f64 y y) x) #s(literal 1/4 binary64)))
(+ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (+ (* -3/32 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (pow y 4))) (* 1/4 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (pow y 2)))))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 (*.f64 y y) x) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal -3/32 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/4 binary64) y) y))))
(+ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (+ (* -3/32 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (pow y 4))) (+ (* 7/128 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (pow y 6))) (* 1/4 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ 1 y)))))) (pow y 2))))))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (/.f64 (.f64 #s(literal -3/32 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 1/2 binary64)) (.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 7/128 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 1/4 binary64) y) y)))))
(* -1 (* (sqrt x) y))
(*.f64 (neg.f64 y) (sqrt.f64 x))
(* -1 (* y (+ (sqrt x) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))
(*.f64 (sqrt.f64 x) (-.f64 (neg.f64 y) (/.f64 #s(literal 1/2 binary64) y)))
(* -1 (* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2))))))))
(neg.f64 (fma.f64 (sqrt.f64 x) (fma.f64 y (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) y)))
(* -1 (* y (+ (sqrt x) (+ (* -1/8 (* (sqrt x) (/ 1 (pow y 4)))) (+ (* 1/16 (* (sqrt x) (/ 1 (pow y 6)))) (* 1/2 (* (sqrt x) (/ 1 (pow y 2)))))))))
(.f64 (.f64 (sqrt.f64 x) (+.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))))) (neg.f64 y))
(exp (* 1/4 (+ (log x) (* -2 (log (/ -1 y))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(+ (exp (* 1/4 (+ (log x) (* -2 (log (/ -1 y)))))) (* 1/4 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ -1 y)))))) (pow y 2))))
(fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) y) (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) y) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(+ (exp (* 1/4 (+ (log x) (* -2 (log (/ -1 y)))))) (+ (* -3/32 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ -1 y)))))) (pow y 4))) (* 1/4 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ -1 y)))))) (pow y 2)))))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (+.f64 (/.f64 #s(literal -3/32 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/4 binary64) y) y))))
(+ (exp (* 1/4 (+ (log x) (* -2 (log (/ -1 y)))))) (+ (* -3/32 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ -1 y)))))) (pow y 4))) (+ (* 7/128 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ -1 y)))))) (pow y 6))) (* 1/4 (/ (exp (* 1/4 (+ (log x) (* -2 (log (/ -1 y)))))) (pow y 2))))))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (fma.f64 (/.f64 (.f64 #s(literal -3/32 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) (.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (+.f64 (/.f64 #s(literal 7/128 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 1/4 binary64) y) y)))))

rewrite130.0ms (4.4%)

Memory

-0.6MiB live, 45.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	81
0	31	68
1	109	65
2	594	65
3	5870	65
0	8244	65

Stop Event

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

Counts

10 → 581

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 x (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x)) (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x x) (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 x (.f64 (.f64 y y) x)) x) #s(literal 2 binary64)))) (fma.f64 x (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x) (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(.f64 (/.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 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 12 binary64)) (pow.f64 (.f64 (-.f64 x (.f64 (.f64 y y) x)) x) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64)) (.f64 (.f64 (-.f64 x (.f64 (.f64 y y) x)) x) (-.f64 (.f64 (-.f64 x (.f64 (.f64 y y) x)) x) (pow.f64 (.f64 (*.f64 y y) x) #s(literal 2 binary64))))))
(.f64 (/.f64 (.f64 x (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x)) (.f64 x (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x))) (fma.f64 (.f64 y x) y x))
(.f64 (fabs.f64 (.f64 x (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x))) (fabs.f64 (pow.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64))))
(.f64 (fabs.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (pow.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (.f64 y y) x)))) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 y x) y x)) (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 x (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x)) #s(literal 1 binary64)) (pow.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (.f64 y y) x)))) #s(literal -1 binary64)))
(.f64 (.f64 x (-.f64 x (.f64 (pow.f64 y #s(literal 4 binary64)) x))) (pow.f64 (-.f64 x (.f64 (*.f64 y y) x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) (.f64 x (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x)))
(.f64 (pow.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (.f64 y y) x)))) #s(literal -1 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 (neg.f64 (.f64 x (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x))) (pow.f64 (fma.f64 (neg.f64 x) (.f64 y y) x) #s(literal -1 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)))) (pow.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (.f64 y y) x))))) #s(literal -1 binary64)))
(.f64 (.f64 x (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x)) (pow.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (.f64 y y) x)))) (/.f64 (fma.f64 (.f64 y x) y x) (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (.f64 y y) x))))))
(.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (.f64 y y) x)))) (.f64 (fma.f64 (.f64 y x) y x) (pow.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (*.f64 y y) x)))) #s(literal -1 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))) (pow.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (.f64 y y) x)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal 1/4 binary64)) (.f64 (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 (*.f64 y x) y x))))
(.f64 (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 y x) y x))
(.f64 (sqrt.f64 (fma.f64 (.f64 y x) y x)) (sqrt.f64 (fma.f64 (*.f64 y x) y x)))
(.f64 (fma.f64 (.f64 y x) y x) (/.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) (.f64 x (fma.f64 y y #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 y x) y x) (.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64))))
(pow.f64 (/.f64 (-.f64 x (.f64 (.f64 y y) x)) (.f64 x (-.f64 x (.f64 (pow.f64 y #s(literal 4 binary64)) x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (fabs.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (.f64 (log.f64 (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 y x) y x))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (fma.f64 (*.f64 y x) y x))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 (log.f64 (fma.f64 (.f64 y x) y x)) #s(literal 4 binary64)))
(pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/16 binary64)) #s(literal 16 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1 binary64))
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(+.f64 (.f64 (.f64 y y) x) x)
(+.f64 x (.f64 (.f64 y y) x))
(.f64 (.f64 (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal 1/16 binary64))) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/16 binary64)))
(.f64 (sqrt.f64 (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal 3/16 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/16 binary64)))
(.f64 (pow.f64 (.f64 x (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x)) #s(literal 1/4 binary64)) (pow.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) #s(literal -1/4 binary64)))
(.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (pow.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (.f64 y y) x)))) #s(literal -1/4 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal 1/16 binary64)) (.f64 (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal 1/16 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/8 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal 1/16 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/16 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/8 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (.f64 (log.f64 (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal 1/4 binary64))) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 y x) y x))) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (fma.f64 (*.f64 y x) y x)))
(pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/16 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 4 binary64)) #s(literal 1/16 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 2 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 y x) y x)) #s(literal 1/2 binary64))
(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (.f64 x (-.f64 x (.f64 (pow.f64 y #s(literal 4 binary64)) x))))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (-.f64 x (.f64 (.f64 y y) x)))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (neg.f64 (.f64 x (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x))))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (fma.f64 (neg.f64 x) (*.f64 y y) x))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.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)))))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (*.f64 y y) x))))))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (.f64 x (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x)))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (*.f64 y y) x)))))))
(/.f64 (sqrt.f64 (sqrt.f64 (.f64 x (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))))))
(/.f64 (sqrt.f64 (hypot.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (sqrt.f64 (.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x (-.f64 x (.f64 (*.f64 y y) x)))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (neg.f64 (log.f64 (fma.f64 (*.f64 y x) y x)))))
(sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 y x) y x)))
(fabs.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal 1/16 binary64))) #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) (log.f64 (fma.f64 (.f64 y x) y x))))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal 4 binary64))) #s(literal 1/16 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal 2 binary64))) #s(literal 1/8 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 y x) y x))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64))))

eval51.0ms (1.7%)

Memory: 1.1MiB live, 32.7MiB allocated
Compiler: Compiled 9 213 to 1 122 computations (87.8% saved)

prune9.0ms (0.3%)

Memory

-0.8MiB live, 17.6MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	404	1	405
Fresh	0	0	0
Picked	2	1	3
Done	0	6	6
Total	406	8	414

Accuracy

100.0%

Counts

414 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x y) y x)
✓	45.9%	(/.f64 #s(approx (neg (+ (* y y) 1)) (*.f64 (neg.f64 y) y)) (/.f64 #s(literal -1 binary64) x))
✓	45.9%	(/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
✓	45.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x))
	52.5%	(.f64 (sqrt.f64 (fma.f64 (.f64 x y) y x)) #s(approx (sqrt (+ (* (* x y) y) x)) (*.f64 (sqrt.f64 x) y)))
✓	51.9%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
✓	46.0%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
✓	52.1%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))

Compiler

Compiled 306 to 144 computations (52.9% saved)

regimes22.0ms (0.7%)

Memory

5.4MiB live, 13.1MiB allocated

Counts

16 → 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)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
(/.f64 x #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 #s(approx (neg (+ (* y y) 1)) (*.f64 (neg.f64 y) y)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (fma.f64 y y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (+ (* y y) 1) -1) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x))
(.f64 (sqrt.f64 (fma.f64 (.f64 x y) y x)) #s(approx (sqrt (+ (* (* x y) y) x)) (*.f64 (sqrt.f64 x) y)))
(.f64 (sqrt.f64 (fma.f64 (.f64 x y) y x)) (sqrt.f64 (fma.f64 (*.f64 x y) y x)))
(/.f64 x (pow.f64 (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))
(pow.f64 (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (fma.f64 (.f64 y x) y x) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1/2 binary64))))

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

Calls

5 calls:

5.0ms	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
4.0ms	x
4.0ms	y
4.0ms	(*.f64 y y)
4.0ms	(+.f64 #s(literal 1 binary64) (*.f64 y y))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
99.9%	1	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
99.9%	1	`(*.f64 y y)`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes8.0ms (0.3%)

Memory

-0.2MiB live, 7.7MiB 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	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
2.0ms	y
2.0ms	(*.f64 y y)
1.0ms	(+.f64 #s(literal 1 binary64) (*.f64 y y))

Results

Accuracy	Segments	Branch
64.7%	7	`x`
98.9%	2	`y`
79.5%	2	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
98.9%	2	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
98.9%	2	`(*.f64 y y)`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes6.0ms (0.2%)

Memory

-1.6MiB live, 6.8MiB 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:

1.0ms	(*.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
51.9%	1	`x`
51.9%	1	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
51.9%	1	`y`
51.9%	1	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
51.9%	1	`(*.f64 y y)`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.8907033636371653e-6	9243.453145884023

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify20.0ms (0.7%)

Memory

-5.3MiB live, 18.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	43
1	23	43

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 y y) #s(literal 4722366482869645/2361183241434822606848 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)
(fma.f64 (*.f64 y x) y x)
(if (<=.f64 (.f64 y y) #s(literal 4722366482869645/2361183241434822606848 binary64)) (.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y)))
(if (<=.f64 (.f64 y y) #s(literal 4722366482869645/2361183241434822606848 binary64)) (.f64 #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) x) #s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y)))
(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
(.f64 #s(approx (+ 1 ( y y)) #s(literal 1 binary64)) x)

soundness492.0ms (16.5%)

Memory

2.2MiB live, 2.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	82
0	30	73
1	108	73
2	625	73
3	6417	73
0	8353	73
0	15	41
1	42	41
2	74	41
3	212	41
4	703	41
5	1926	41
6	2605	41
7	3693	41
8	5036	41
9	5934	41
10	6893	41
11	7236	41
12	7351	41
13	7428	41
14	7497	41
15	7644	41
0	8185	36
0	6	15
0	9	15
1	34	15
2	209	15
3	1404	15
0	8269	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 46 computations (42.5% saved)

preprocess70.0ms (2.3%)

Memory

2.9MiB live, 25.8MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 186 to 104 computations (44.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	37
1	65	37
2	194	35
3	463	35
4	639	35
5	762	35
6	789	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	20	102
0	31	93
1	48	91
2	69	91
3	88	91
4	101	91
5	117	91
6	146	91
7	198	91
8	208	90
9	256	90
10	279	90
11	284	90
12	288	90
13	295	90
14	325	90
15	372	90
16	447	90
17	577	90
18	704	90
19	807	90
20	849	90
21	864	90
22	875	90
23	876	90
0	876	90

Iter	Nodes	Cost
0	16	37
1	65	37
2	194	35
3	463	35
4	639	35
5	762	35
6	789	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	20	102
0	31	93
1	48	91
2	69	91
3	88	91
4	101	91
5	117	91
6	146	91
7	198	91
8	208	90
9	256	90
10	279	90
11	284	90
12	288	90
13	295	90
14	325	90
15	372	90
16	447	90
17	577	90
18	704	90
19	807	90
20	849	90
21	864	90
22	875	90
23	876	90
0	876	90

start0.0ms (0%)

analyze0.0ms (0%)

sample450.0ms (15.1%)

explain55.0ms (1.9%)

preprocess25.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize14.0ms (0.5%)

series4.0ms (0.1%)

simplify180.0ms (6%)

rewrite126.0ms (4.2%)

eval34.0ms (1.1%)

prune26.0ms (0.9%)

simplify6.0ms (0.2%)

localize39.0ms (1.3%)

series10.0ms (0.3%)

simplify140.0ms (4.7%)

rewrite135.0ms (4.5%)

eval91.0ms (3%)

prune14.0ms (0.5%)

simplify43.0ms (1.4%)

localize58.0ms (1.9%)

series11.0ms (0.4%)

simplify138.0ms (4.6%)

rewrite137.0ms (4.6%)

eval120.0ms (4%)

prune15.0ms (0.5%)

simplify35.0ms (1.2%)

localize52.0ms (1.8%)

series63.0ms (2.1%)

simplify152.0ms (5.1%)

rewrite130.0ms (4.4%)

eval51.0ms (1.7%)

prune9.0ms (0.3%)

regimes22.0ms (0.7%)

regimes8.0ms (0.3%)

regimes6.0ms (0.2%)

bsearch0.0ms (0%)

simplify20.0ms (0.7%)

soundness492.0ms (16.5%)

preprocess70.0ms (2.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	37
1	65	37
2	194	35
3	463	35
4	639	35
5	762	35
6	789	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	20	102
0	31	93
1	48	91
2	69	91
3	88	91
4	101	91
5	117	91
6	146	91
7	198	91
8	208	90
9	256	90
10	279	90
11	284	90
12	288	90
13	295	90
14	325	90
15	372	90
16	447	90
17	577	90
18	704	90
19	807	90
20	849	90
21	864	90
22	875	90
23	876	90
0	876	90