Metrics for Linear.Quaternion:$c/ from linear-1.19.1.3, E

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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 17 to 9 computations (47.1% saved)

sample870.0ms (17%)

Memory

-10.4MiB live, 555.4MiB allocated

Samples

576.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 318.0ms

ival-mult: 173.0ms (54.5% of total)

ival-add: 136.0ms (42.8% of total)

ival-true: 5.0ms (1.6% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain111.0ms (2.2%)

Memory

16.8MiB live, 48.3MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))`
-	-	`(+.f64 (.f64 x x) (.f64 y y))`
-	-	`y`
-	-	`(*.f64 y y)`
-	-	`(*.f64 x x)`
-	-	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

24.0ms

512×

valid

Compiler

Compiled 101 to 25 computations (75.2% saved)

Precisions

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

ival-mult: 7.0ms (55.9% of total)

ival-add: 5.0ms (39.9% of total)

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

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

preprocess66.0ms (1.3%)

Memory

-21.4MiB live, 10.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	77
1	83	67
2	242	47
3	535	45
4	1249	45
5	1816	45
6	2281	45
7	2470	45
8	2622	45
0	7	15
0	12	15
1	30	13
2	105	9
3	312	9
4	695	9
5	998	9
6	1250	9
7	1358	9
8	1438	9
0	1438	8

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))

Outputs
(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))

Symmetry

(abs y)

(abs x)

Compiler

Compiled 15 to 7 computations (53.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))

Compiler

Compiled 15 to 7 computations (53.3% saved)

simplify23.0ms (0.4%)

Memory

16.6MiB live, 16.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	1	(+.f64 (.f64 x x) (.f64 y y))
cost-diff	2	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))
cost-diff	4	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	41
0	12	41
1	30	37
2	105	33
3	312	33
4	695	33
5	998	33
6	1250	33
7	1358	33
8	1438	33
0	1438	30

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))
(fma.f64 #s(literal 2 binary64) (.f64 y y) (.f64 x x))
(+.f64 (.f64 x x) (.f64 y y))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
x
(*.f64 y y)
y

localize19.0ms (0.4%)

Memory

-12.1MiB live, 19.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))
accuracy	0.00390625	(+.f64 (.f64 x x) (.f64 y y))
accuracy	0.078125	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))

Samples

13.0ms

256×

valid

Compiler

Compiled 43 to 9 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 4.0ms (56.7% of total)

ival-add: 3.0ms (42.5% of total)

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

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

series4.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated

Counts

4 → 15

Calls

Call 1

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

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

Calls

6 calls:

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

simplify123.0ms (2.4%)

Memory

-4.9MiB live, 85.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	121
1	93	105
2	321	105
3	2169	105
0	8459	95

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 15

Calls

Call 1

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

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

rewrite120.0ms (2.3%)

Memory

-11.2MiB live, 98.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	36
0	12	36
1	66	32
2	720	32
0	9413	28

Stop Event

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

Counts

4 → 403

Calls

Call 1

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

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

eval41.0ms (0.8%)

Memory: 28.8MiB live, 59.4MiB allocated
Compiler: Compiled 11 617 to 1 201 computations (89.7% saved)

prune9.0ms (0.2%)

Memory

-9.7MiB live, 20.3MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	405	5	410
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	406	5	411

Accuracy

100.0%

Counts

411 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
▶	28.4%	(+.f64 (/.f64 (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 x x))) (*.f64 y y))
▶	53.7%	(+.f64 (+.f64 (fma.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (.f64 y y)))) (.f64 y y)) (*.f64 y y))
▶	99.9%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)))
▶	60.3%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))

Compiler

Compiled 226 to 118 computations (47.8% saved)

simplify114.0ms (2.2%)

Memory

-10.1MiB live, 86.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))
cost-diff	0	(-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))
cost-diff	0	(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 x x)))
cost-diff	1	(+.f64 (/.f64 (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 x x))) (*.f64 y y))
cost-diff	0	(/.f64 (*.f64 x x) (+.f64 x y))
cost-diff	1	(+.f64 (fma.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (.f64 y y)))) (.f64 y y))
cost-diff	2	(+.f64 (+.f64 (fma.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (.f64 y y)))) (.f64 y y)) (*.f64 y y))
cost-diff	10	(fma.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y y))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(*.f64 #s(literal 3 binary64) y)
cost-diff	0	(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
cost-diff	0	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)))
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 y y))
cost-diff	0	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 y y (*.f64 x x))
cost-diff	0	(+.f64 y y)
cost-diff	3	(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	325
0	69	318
1	132	306
2	377	306
3	1283	303
4	3294	297
5	5767	276
0	8104	273

Stop Event

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

Calls

Call 1

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

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

localize97.0ms (1.9%)

Memory

2.8MiB live, 100.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.078125	(+.f64 (/.f64 (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 x x))) (*.f64 y y))
accuracy	3.746079300811441	(-.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) (*.f64 x x))
accuracy	7.386685723283294	(-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))
accuracy	41.03045607266591	(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) (.f64 x x)))
accuracy	1.7499807332389217	(fma.f64 (neg.f64 x) x (*.f64 y y))
accuracy	18.150621222778586	(/.f64 (*.f64 x x) (-.f64 x y))
accuracy	18.154508662593383	(/.f64 (*.f64 x x) (+.f64 x y))
accuracy	29.204625409715387	(/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y y)))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(*.f64 #s(literal 3 binary64) y)
accuracy	0.0	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)))
accuracy	0.07421875	(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
accuracy	0.0	(*.f64 y y)
accuracy	0.15625	(.f64 #s(literal 3 binary64) (.f64 y y))
accuracy	25.339868131947476	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
accuracy	0.0	(+.f64 y y)
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(fma.f64 y y (*.f64 x x))
accuracy	0.01953125	(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))

Samples

61.0ms

256×

valid

Compiler

Compiled 324 to 40 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-add: 13.0ms (30.6% of total)

ival-mult: 13.0ms (30.6% of total)

ival-div: 7.0ms (16.5% of total)

ival-pow: 5.0ms (11.8% of total)

ival-sub: 3.0ms (7.1% of total)

ival-neg: 1.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

series34.0ms (0.7%)

Memory

3.7MiB live, 34.3MiB allocated

Counts

22 → 118

Calls

Call 1

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

Outputs
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(pow y 2)
(+ (pow x 2) (pow y 2))
(pow x 2)
(* 3 (pow y 2))
(+ (* 3 (pow y 2)) (pow x 2))
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (pow x 2))
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* (pow x 2) (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(* 4 (pow y 4))
(+ (* -1 (pow x 4)) (* 4 (pow y 4)))
(+ (* (pow x 2) (+ 1 (/ (pow x 2) (pow y 2)))) (pow y 2))
(+ (* (pow x 2) (+ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow x 2) (pow y 4)))))) (pow y 2))
(* -1 (/ (pow x 2) y))
(* (pow x 2) (- (* -1 (/ x (pow y 2))) (/ 1 y)))
(* (pow x 2) (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))
(* (pow x 2) (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(+ (* -1 (pow x 2)) (pow y 2))
(+ (* -1 (pow x 2)) (* 2 (pow y 2)))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (* -1 y)) x))))
(* (pow x 2) (- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))) (pow x 2)))) (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))))) (* (pow y 2) (+ y (* -1 y)))) (pow x 3)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
(* (pow x 2) (- (+ 1 (* 2 (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
(* (pow x 2) (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))))) (* (pow y 2) (+ y (* -1 y)))) (pow x 3))) (* 2 (/ (pow y 2) (pow x 2))))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
(* (pow x 2) (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))))) (* (pow y 2) (+ y (* -1 y)))) (pow x 3))) (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)))
(* x (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -4 (/ (pow y 4) (pow x 4))) (+ (* 2 (/ (pow y 2) (pow x 2))) (+ (* 4 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2)))))))
(* (pow x 2) (+ 1 (+ (* -8 (/ (pow y 6) (pow x 6))) (+ (* -4 (/ (pow y 4) (pow x 4))) (+ (* 2 (/ (pow y 2) (pow x 2))) (+ (* 4 (/ (pow y 4) (pow x 4))) (+ (* 8 (/ (pow y 6) (pow x 6))) (/ (pow y 2) (pow x 2)))))))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* -1 (pow x 4))
(* (pow x 4) (- (* 4 (/ (pow y 4) (pow x 4))) 1))
(* -1 (/ (pow y 4) (pow x 2)))
(/ (+ (* -1 (/ (pow y 6) (pow x 2))) (* -1 (pow y 4))) (pow x 2))
(/ (- (+ (* -1 (/ (pow y 8) (pow x 4))) (* -1 (pow y 4))) (/ (pow y 6) (pow x 2))) (pow x 2))
(/ (- (+ (* -1 (/ (pow y 10) (pow x 6))) (* -1 (pow y 4))) (+ (/ (pow y 6) (pow x 2)) (/ (pow y 8) (pow x 4)))) (pow x 2))
(* x (+ 1 (/ y x)))
(* x (- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))))
(* x (- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(* (pow x 2) (- (* 2 (/ (pow y 2) (pow x 2))) 1))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (pow y 2) (pow (+ y (* -1 y)) 2)) x)))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) (* (pow y 2) (+ y (* -1 y)))) x)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x)))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* 2 (pow y 2)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x)))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) (* (pow y 2) (+ y (* -1 y)))) x)) (+ (* 2 (pow y 2)) (+ (pow y 2) (pow (+ y (* -1 y)) 2)))) x)))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* 2 (pow y 2)) (pow (+ y (* -1 y)) 2)) x)))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) (* (pow y 2) (+ y (* -1 y)))) x)) (+ (* 2 (pow y 2)) (pow (+ y (* -1 y)) 2))) x)))) x))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1)))
(* 2 y)
(* 3 y)
(+ (* -1 (* y (+ x (* -1 x)))) (pow x 2))
(+ (* y (- (* y (- 1 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(+ (* y (- (* y (- (+ 1 (* -1 (/ (* y (* (+ x (* -1 x)) (- 1 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2)))))) (pow x 2)))) (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(+ (* y (- (* y (- 3 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(+ (* y (- (* y (- (+ 3 (* -1 (/ (* y (* (+ x (* -1 x)) (- 1 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2)))))) (pow x 2)))) (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(+ (* y (- (* y (- 2 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(+ (* y (- (* y (- (+ 2 (* -1 (/ (* y (* (+ x (* -1 x)) (- 1 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2)))))) (pow x 2)))) (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(+ x (* -1 y))
(+ x (* y (- (/ y x) 1)))
(+ x (* y (- (* y (+ (* -1 (/ y (pow x 2))) (/ 1 x))) 1)))
(- (* 3 (pow y 2)) (* -1 (pow x 2)))
(- (* 4 (pow y 4)) (pow x 4))
(* (pow y 4) (- (* -1 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2))))
(* (pow y 4) (- (* (pow y 2) (- (* -1 (/ (pow y 2) (pow x 6))) (/ 1 (pow x 4)))) (/ 1 (pow x 2))))
(* (pow y 4) (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (/ (pow y 2) (pow x 8))) (/ 1 (pow x 6)))) (/ 1 (pow x 4)))) (/ 1 (pow x 2))))
(+ x y)
(+ x (* y (+ 1 (/ y x))))
(+ x (* y (+ 1 (* y (+ (/ 1 x) (/ y (pow x 2)))))))
(- (* 2 (pow y 2)) (pow x 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (- (+ 1 (* -1 (/ (* (pow x 4) (+ x (* -1 x))) (pow y 5)))) (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (- (+ 1 (* -1 (/ (+ (* -1 (pow x 6)) (+ (* (pow x 4) (pow (+ x (* -1 x)) 2)) (pow x 6))) (pow y 6)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (* (pow x 4) (+ x (* -1 x))) (pow y 5)))))
(* (pow y 2) (- (+ 3 (* -1 (/ (* (pow x 4) (+ x (* -1 x))) (pow y 5)))) (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (- (+ 3 (* -1 (/ (+ (* -1 (pow x 6)) (+ (* (pow x 4) (pow (+ x (* -1 x)) 2)) (pow x 6))) (pow y 6)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (* (pow x 4) (+ x (* -1 x))) (pow y 5)))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (- (+ 2 (* -1 (/ (* (pow x 4) (+ x (* -1 x))) (pow y 5)))) (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (- (+ 2 (* -1 (/ (+ (* -1 (pow x 6)) (+ (* (pow x 4) (pow (+ x (* -1 x)) 2)) (pow x 6))) (pow y 6)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (* (pow x 4) (+ x (* -1 x))) (pow y 5)))))
(/ (+ (* -1 (/ (pow x 3) y)) (pow x 2)) y)
(/ (- (+ (/ (pow x 4) (pow y 2)) (pow x 2)) (/ (pow x 3) y)) y)
(/ (- (+ (* -1 (/ (pow x 5) (pow y 3))) (pow x 2)) (+ (* -1 (/ (pow x 4) (pow y 2))) (/ (pow x 3) y))) y)
(* (pow y 2) (- (+ 3 (* -1 (/ (+ (* -1/2 (pow x 4)) (* 1/2 (pow x 4))) (pow y 4)))) (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 4) (+ 4 (* -1 (/ (pow x 4) (pow y 4)))))
(* (pow y 2) (- (+ 1 (/ (pow x 4) (pow y 4))) (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (- (+ 1 (/ (pow x 6) (pow y 6))) (+ (* -1 (/ (pow x 2) (pow y 2))) (* -1 (/ (pow x 4) (pow y 4))))))
(/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)
(/ (- (+ (* -1 (/ (pow x 4) (pow y 2))) (* -1 (pow x 2))) (/ (pow x 3) y)) y)
(/ (- (+ (* -1 (/ (pow x 5) (pow y 3))) (* -1 (pow x 2))) (+ (/ (pow x 3) y) (/ (pow x 4) (pow y 2)))) y)
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 2 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (- (+ 1 (/ (* (pow x 4) (+ x (* -1 x))) (pow y 5))) (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (- (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 6) y)) (+ (/ (* (pow x 4) (pow (+ x (* -1 x)) 2)) y) (/ (pow x 6) y))) (* (pow x 4) (+ x (* -1 x)))) (pow y 5)))) (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (- (+ 3 (/ (* (pow x 4) (+ x (* -1 x))) (pow y 5))) (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (- (+ 3 (* -1 (/ (- (+ (* -1 (/ (pow x 6) y)) (+ (/ (* (pow x 4) (pow (+ x (* -1 x)) 2)) y) (/ (pow x 6) y))) (* (pow x 4) (+ x (* -1 x)))) (pow y 5)))) (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (- (+ 2 (/ (* (pow x 4) (+ x (* -1 x))) (pow y 5))) (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (- (+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 6) y)) (+ (/ (* (pow x 4) (pow (+ x (* -1 x)) 2)) y) (/ (pow x 6) y))) (* (pow x 4) (+ x (* -1 x)))) (pow y 5)))) (* -1 (/ (pow x 2) (pow y 2)))))
(* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))
(* -1 (/ (+ (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (* -1 (pow x 2))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) y) (pow x 4)) y)) (pow x 3)) y)) (* -1 (pow x 2))) y))
(* -1 (/ (+ (/ (pow x 3) y) (pow x 2)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 4) y)) (pow x 3)) y)) (pow x 2)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) y) (* -1 (pow x 4))) y)) (pow x 3)) y)) (pow x 2)) y))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	y	@	0	((+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (/ (* x x) (+ x y)) (+ (/ (- (* 4 (pow y 4)) (pow x 4)) (- (* 2 (* y y)) (* x x))) (* y y)) (/ (- (* 4 (pow y 4)) (pow x 4)) (- (* 2 (* y y)) (* x x))) (- (* 4 (pow y 4)) (pow x 4)) (* 4 (pow y 4)) (/ (pow y 4) (+ (* (neg x) x) (* y y))) (/ (* x x) (- x y)) (+ (* (neg x) x) (* y y)) (- (* 2 (* y y)) (* x x)))
7.0ms	y	@	inf	((+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (/ (* x x) (+ x y)) (+ (/ (- (* 4 (pow y 4)) (pow x 4)) (- (* 2 (* y y)) (* x x))) (* y y)) (/ (- (* 4 (pow y 4)) (pow x 4)) (- (* 2 (* y y)) (* x x))) (- (* 4 (pow y 4)) (pow x 4)) (* 4 (pow y 4)) (/ (pow y 4) (+ (* (neg x) x) (* y y))) (/ (* x x) (- x y)) (+ (* (neg x) x) (* y y)) (- (* 2 (* y y)) (* x x)))
5.0ms	x	@	0	((+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (/ (* x x) (+ x y)) (+ (/ (- (* 4 (pow y 4)) (pow x 4)) (- (* 2 (* y y)) (* x x))) (* y y)) (/ (- (* 4 (pow y 4)) (pow x 4)) (- (* 2 (* y y)) (* x x))) (- (* 4 (pow y 4)) (pow x 4)) (* 4 (pow y 4)) (/ (pow y 4) (+ (* (neg x) x) (* y y))) (/ (* x x) (- x y)) (+ (* (neg x) x) (* y y)) (- (* 2 (* y y)) (* x x)))
5.0ms	x	@	inf	((+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (/ (* x x) (+ x y)) (+ (/ (- (* 4 (pow y 4)) (pow x 4)) (- (* 2 (* y y)) (* x x))) (* y y)) (/ (- (* 4 (pow y 4)) (pow x 4)) (- (* 2 (* y y)) (* x x))) (- (* 4 (pow y 4)) (pow x 4)) (* 4 (pow y 4)) (/ (pow y 4) (+ (* (neg x) x) (* y y))) (/ (* x x) (- x y)) (+ (* (neg x) x) (* y y)) (- (* 2 (* y y)) (* x x)))
3.0ms	y	@	-inf	((+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (/ (* x x) (+ x y)) (+ (/ (- (* 4 (pow y 4)) (pow x 4)) (- (* 2 (* y y)) (* x x))) (* y y)) (/ (- (* 4 (pow y 4)) (pow x 4)) (- (* 2 (* y y)) (* x x))) (- (* 4 (pow y 4)) (pow x 4)) (* 4 (pow y 4)) (/ (pow y 4) (+ (* (neg x) x) (* y y))) (/ (* x x) (- x y)) (+ (* (neg x) x) (* y y)) (- (* 2 (* y y)) (* x x)))

simplify110.0ms (2.2%)

Memory

-0.6MiB live, 93.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	537	2167
1	1683	1849
2	7131	1817
0	8209	1742

Stop Event

1×	iter limit
1×	node limit

Counts

118 → 117

Calls

Call 1

Inputs
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(pow y 2)
(+ (pow x 2) (pow y 2))
(pow x 2)
(* 3 (pow y 2))
(+ (* 3 (pow y 2)) (pow x 2))
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (pow x 2))
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* (pow x 2) (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(* 4 (pow y 4))
(+ (* -1 (pow x 4)) (* 4 (pow y 4)))
(+ (* (pow x 2) (+ 1 (/ (pow x 2) (pow y 2)))) (pow y 2))
(+ (* (pow x 2) (+ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow x 2) (pow y 4)))))) (pow y 2))
(* -1 (/ (pow x 2) y))
(* (pow x 2) (- (* -1 (/ x (pow y 2))) (/ 1 y)))
(* (pow x 2) (- (* x (- (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))
(* (pow x 2) (- (* x (- (* x (- (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(+ (* -1 (pow x 2)) (pow y 2))
(+ (* -1 (pow x 2)) (* 2 (pow y 2)))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (* -1 y)) x))))
(* (pow x 2) (- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))) (pow x 2)))) (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))))) (* (pow y 2) (+ y (* -1 y)))) (pow x 3)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
(* (pow x 2) (- (+ 1 (* 2 (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
(* (pow x 2) (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))))) (* (pow y 2) (+ y (* -1 y)))) (pow x 3))) (* 2 (/ (pow y 2) (pow x 2))))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
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x
(* x (+ 1 (* -1 (/ y x))))
(* x (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)))
(* x (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -4 (/ (pow y 4) (pow x 4))) (+ (* 2 (/ (pow y 2) (pow x 2))) (+ (* 4 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2)))))))
(* (pow x 2) (+ 1 (+ (* -8 (/ (pow y 6) (pow x 6))) (+ (* -4 (/ (pow y 4) (pow x 4))) (+ (* 2 (/ (pow y 2) (pow x 2))) (+ (* 4 (/ (pow y 4) (pow x 4))) (+ (* 8 (/ (pow y 6) (pow x 6))) (/ (pow y 2) (pow x 2)))))))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* -1 (pow x 4))
(* (pow x 4) (- (* 4 (/ (pow y 4) (pow x 4))) 1))
(* -1 (/ (pow y 4) (pow x 2)))
(/ (+ (* -1 (/ (pow y 6) (pow x 2))) (* -1 (pow y 4))) (pow x 2))
(/ (- (+ (* -1 (/ (pow y 8) (pow x 4))) (* -1 (pow y 4))) (/ (pow y 6) (pow x 2))) (pow x 2))
(/ (- (+ (* -1 (/ (pow y 10) (pow x 6))) (* -1 (pow y 4))) (+ (/ (pow y 6) (pow x 2)) (/ (pow y 8) (pow x 4)))) (pow x 2))
(* x (+ 1 (/ y x)))
(* x (- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))))
(* x (- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(* (pow x 2) (- (* 2 (/ (pow y 2) (pow x 2))) 1))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (pow y 2) (pow (+ y (* -1 y)) 2)) x)))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) (* (pow y 2) (+ y (* -1 y)))) x)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x)))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* 2 (pow y 2)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x)))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) (* (pow y 2) (+ y (* -1 y)))) x)) (+ (* 2 (pow y 2)) (+ (pow y 2) (pow (+ y (* -1 y)) 2)))) x)))) x))))
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(* 2 y)
(* 3 y)
(+ (* -1 (* y (+ x (* -1 x)))) (pow x 2))
(+ (* y (- (* y (- 1 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(+ (* y (- (* y (- (+ 1 (* -1 (/ (* y (* (+ x (* -1 x)) (- 1 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2)))))) (pow x 2)))) (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(+ (* y (- (* y (- 3 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(+ (* y (- (* y (- (+ 3 (* -1 (/ (* y (* (+ x (* -1 x)) (- 1 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2)))))) (pow x 2)))) (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(+ (* y (- (* y (- 2 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(+ (* y (- (* y (- (+ 2 (* -1 (/ (* y (* (+ x (* -1 x)) (- 1 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2)))))) (pow x 2)))) (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(+ x (* -1 y))
(+ x (* y (- (/ y x) 1)))
(+ x (* y (- (* y (+ (* -1 (/ y (pow x 2))) (/ 1 x))) 1)))
(- (* 3 (pow y 2)) (* -1 (pow x 2)))
(- (* 4 (pow y 4)) (pow x 4))
(* (pow y 4) (- (* -1 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2))))
(* (pow y 4) (- (* (pow y 2) (- (* -1 (/ (pow y 2) (pow x 6))) (/ 1 (pow x 4)))) (/ 1 (pow x 2))))
(* (pow y 4) (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (/ (pow y 2) (pow x 8))) (/ 1 (pow x 6)))) (/ 1 (pow x 4)))) (/ 1 (pow x 2))))
(+ x y)
(+ x (* y (+ 1 (/ y x))))
(+ x (* y (+ 1 (* y (+ (/ 1 x) (/ y (pow x 2)))))))
(- (* 2 (pow y 2)) (pow x 2))
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(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
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(/ (+ (* -1 (/ (pow x 3) y)) (pow x 2)) y)
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(/ (- (+ (* -1 (/ (pow x 5) (pow y 3))) (pow x 2)) (+ (* -1 (/ (pow x 4) (pow y 2))) (/ (pow x 3) y))) y)
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(/ (- (+ (* -1 (/ (pow x 4) (pow y 2))) (* -1 (pow x 2))) (/ (pow x 3) y)) y)
(/ (- (+ (* -1 (/ (pow x 5) (pow y 3))) (* -1 (pow x 2))) (+ (/ (pow x 3) y) (/ (pow x 4) (pow y 2)))) y)
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(* (pow y 2) (- (+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 6) y)) (+ (/ (* (pow x 4) (pow (+ x (* -1 x)) 2)) y) (/ (pow x 6) y))) (* (pow x 4) (+ x (* -1 x)))) (pow y 5)))) (* -1 (/ (pow x 2) (pow y 2)))))
(* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))
(* -1 (/ (+ (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (* -1 (pow x 2))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) y) (pow x 4)) y)) (pow x 3)) y)) (* -1 (pow x 2))) y))
(* -1 (/ (+ (/ (pow x 3) y) (pow x 2)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 4) y)) (pow x 3)) y)) (pow x 2)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) y) (* -1 (pow x 4))) y)) (pow x 3)) y)) (pow x 2)) y))

Outputs
(+ (* 2 (pow y 2)) (pow y 2))
(.f64 #s(literal 3 binary64) (.f64 y y))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
(pow y 2)
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(+ (pow x 2) (pow y 2))
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(* 3 (pow y 2))
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(* 2 (pow y 2))
(.f64 (.f64 y y) #s(literal 2 binary64))
(+ (* 2 (pow y 2)) (pow x 2))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 x x))
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(* (pow x 2) (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
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(* (pow x 2) (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
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(* 4 (pow y 4))
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(+ (* -1 (pow x 2)) (pow y 2))
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(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
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(.f64 (.f64 (fma.f64 (/.f64 (/.f64 y x) x) y #s(literal 1 binary64)) x) x)
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(.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x) (.f64 (/.f64 y x) y) #s(literal 1 binary64)) (*.f64 x x))
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x
(* x (+ 1 (* -1 (/ y x))))
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(* x (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)))
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(* (pow x 2) (+ 1 (+ (* -4 (/ (pow y 4) (pow x 4))) (+ (* 2 (/ (pow y 2) (pow x 2))) (+ (* 4 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2)))))))
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(* (pow x 2) (+ 1 (+ (* -8 (/ (pow y 6) (pow x 6))) (+ (* -4 (/ (pow y 4) (pow x 4))) (+ (* 2 (/ (pow y 2) (pow x 2))) (+ (* 4 (/ (pow y 4) (pow x 4))) (+ (* 8 (/ (pow y 6) (pow x 6))) (/ (pow y 2) (pow x 2)))))))))
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(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
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(*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x) y #s(literal 1 binary64)) x)
(* x (- (+ 1 (/ (pow y 3) (pow x 3))) (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))))
(*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (fma.f64 (/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x) y #s(literal 1 binary64))) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1))
(.f64 (-.f64 (.f64 (/.f64 (/.f64 y x) x) y) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (- (* 2 (/ (pow y 2) (pow x 2))) 1))
(.f64 (-.f64 (.f64 (/.f64 #s(literal 2 binary64) x) (.f64 (/.f64 y x) y)) #s(literal 1 binary64)) (.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (pow y 2) (pow (+ y (* -1 y)) 2)) x)))) x))))
(.f64 (.f64 (fma.f64 (/.f64 (/.f64 y x) x) y #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) (* (pow y 2) (+ y (* -1 y)))) x)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x)))) x))))
(.f64 (.f64 (fma.f64 (/.f64 (/.f64 y x) x) y #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* 2 (pow y 2)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x)))) x))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 y y) #s(literal 0 binary64)) (neg.f64 x)) x)) x) x)
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) (* (pow y 2) (+ y (* -1 y)))) x)) (+ (* 2 (pow y 2)) (+ (pow y 2) (pow (+ y (* -1 y)) 2)))) x)))) x))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 y y) #s(literal 0 binary64)) (neg.f64 x)) x)) x) x)
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* 2 (pow y 2)) (pow (+ y (* -1 y)) 2)) x)))) x))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 2 binary64) #s(literal 0 binary64)) (neg.f64 x)) x)) x) x)
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) (* (pow y 2) (+ y (* -1 y)))) x)) (+ (* 2 (pow y 2)) (pow (+ y (* -1 y)) 2))) x)))) x))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 2 binary64) #s(literal 0 binary64)) (neg.f64 x)) x)) x) x)
(* -1 (* x (- (/ y x) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1)))
(.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (.f64 (/.f64 y x) y) y) (neg.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1)))
(.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (.f64 y y)) (neg.f64 x)) y) (neg.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (/.f64 y x) y y) (neg.f64 x)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x)) (* -1 y)) x)) 1)))
(.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) x) (.f64 y y)) x) #s(literal -1 binary64) y) (neg.f64 x)) #s(literal 1 binary64)))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(+ (* -1 (* y (+ x (* -1 x)))) (pow x 2))
(*.f64 x x)
(+ (* y (- (* y (- 1 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(fma.f64 x x (*.f64 y y))
(+ (* y (- (* y (- (+ 1 (* -1 (/ (* y (* (+ x (* -1 x)) (- 1 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2)))))) (pow x 2)))) (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(fma.f64 x x (*.f64 y y))
(+ (* y (- (* y (- 3 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
(+ (* y (- (* y (- (+ 3 (* -1 (/ (* y (* (+ x (* -1 x)) (- 1 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2)))))) (pow x 2)))) (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
(+ (* y (- (* y (- 2 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 x x))
(+ (* y (- (* y (- (+ 2 (* -1 (/ (* y (* (+ x (* -1 x)) (- 1 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2)))))) (pow x 2)))) (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 x x))
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (/ y x) 1)))
(fma.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) y x)
(+ x (* y (- (* y (+ (* -1 (/ y (pow x 2))) (/ 1 x))) 1)))
(fma.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y) #s(literal 1 binary64)) y x)
(- (* 3 (pow y 2)) (* -1 (pow x 2)))
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
(- (* 4 (pow y 4)) (pow x 4))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(* (pow y 4) (- (* -1 (/ (pow y 2) (pow x 4))) (/ 1 (pow x 2))))
(.f64 (-.f64 (/.f64 (.f64 (neg.f64 y) y) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (* (pow y 2) (- (* -1 (/ (pow y 2) (pow x 6))) (/ 1 (pow x 4)))) (/ 1 (pow x 2))))
(.f64 (-.f64 (.f64 (-.f64 (/.f64 (.f64 (neg.f64 y) y) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (/ (pow y 2) (pow x 8))) (/ 1 (pow x 6)))) (/ 1 (pow x 4)))) (/ 1 (pow x 2))))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 (/.f64 (.f64 (neg.f64 y) y) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 y y)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (pow.f64 y #s(literal 4 binary64)))
(+ x y)
(+.f64 x y)
(+ x (* y (+ 1 (/ y x))))
(fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) y x)
(+ x (* y (+ 1 (* y (+ (/ 1 x) (/ y (pow x 2)))))))
(+.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) y y) x) y y) x)
(- (* 2 (pow y 2)) (pow x 2))
(fma.f64 (.f64 #s(literal 2 binary64) y) y (.f64 (neg.f64 x) x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(.f64 (.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 3 binary64)) y) y)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(.f64 (.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) y) y)
(* (pow y 2) (- (+ 1 (* -1 (/ (* (pow x 4) (+ x (* -1 x))) (pow y 5)))) (* -1 (/ (pow x 2) (pow y 2)))))
(.f64 (.f64 (fma.f64 x (/.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 5 binary64))))) y) y)
(* (pow y 2) (- (+ 1 (* -1 (/ (+ (* -1 (pow x 6)) (+ (* (pow x 4) (pow (+ x (* -1 x)) 2)) (pow x 6))) (pow y 6)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (* (pow x 4) (+ x (* -1 x))) (pow y 5)))))
(.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64) (fma.f64 x (/.f64 x (.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 y y))
(* (pow y 2) (- (+ 3 (* -1 (/ (* (pow x 4) (+ x (* -1 x))) (pow y 5)))) (* -1 (/ (pow x 2) (pow y 2)))))
(.f64 (.f64 (fma.f64 x (/.f64 x (*.f64 y y)) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 5 binary64))))) y) y)
(* (pow y 2) (- (+ 3 (* -1 (/ (+ (* -1 (pow x 6)) (+ (* (pow x 4) (pow (+ x (* -1 x)) 2)) (pow x 6))) (pow y 6)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (* (pow x 4) (+ x (* -1 x))) (pow y 5)))))
(.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64) (fma.f64 x (/.f64 x (.f64 y y)) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 y y))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(.f64 (.f64 (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 2 binary64)) y) y)
(* (pow y 2) (- (+ 2 (* -1 (/ (* (pow x 4) (+ x (* -1 x))) (pow y 5)))) (* -1 (/ (pow x 2) (pow y 2)))))
(.f64 (.f64 (fma.f64 x (/.f64 x (*.f64 y y)) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 5 binary64))))) y) y)
(* (pow y 2) (- (+ 2 (* -1 (/ (+ (* -1 (pow x 6)) (+ (* (pow x 4) (pow (+ x (* -1 x)) 2)) (pow x 6))) (pow y 6)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (* (pow x 4) (+ x (* -1 x))) (pow y 5)))))
(.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64) (fma.f64 x (/.f64 x (.f64 y y)) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 y y))
(/ (+ (* -1 (/ (pow x 3) y)) (pow x 2)) y)
(/.f64 (fma.f64 x x (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y)) y)
(/ (- (+ (/ (pow x 4) (pow y 2)) (pow x 2)) (/ (pow x 3) y)) y)
(/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)
(/ (- (+ (* -1 (/ (pow x 5) (pow y 3))) (pow x 2)) (+ (* -1 (/ (pow x 4) (pow y 2))) (/ (pow x 3) y))) y)
(/.f64 (-.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) y)) y)
(* (pow y 2) (- (+ 3 (* -1 (/ (+ (* -1/2 (pow x 4)) (* 1/2 (pow x 4))) (pow y 4)))) (* -1 (/ (pow x 2) (pow y 2)))))
(.f64 (.f64 (fma.f64 x (/.f64 x (*.f64 y y)) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))))) y) y)
(* (pow y 4) (+ 4 (* -1 (/ (pow x 4) (pow y 4)))))
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 2) (- (+ 1 (/ (pow x 4) (pow y 4))) (* -1 (/ (pow x 2) (pow y 2)))))
(.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 x (/.f64 x (.f64 y y)) #s(literal 1 binary64))) (*.f64 y y))
(* (pow y 2) (- (+ 1 (/ (pow x 6) (pow y 6))) (+ (* -1 (/ (pow x 2) (pow y 2))) (* -1 (/ (pow x 4) (pow y 4))))))
(.f64 (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))) (.f64 y y))
(/ (+ (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)
(/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) (neg.f64 y))
(/ (- (+ (* -1 (/ (pow x 4) (pow y 2))) (* -1 (pow x 2))) (/ (pow x 3) y)) y)
(/.f64 (fma.f64 (neg.f64 x) x (/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) y) (pow.f64 x #s(literal 3 binary64))) y)) y)
(/ (- (+ (* -1 (/ (pow x 5) (pow y 3))) (* -1 (pow x 2))) (+ (/ (pow x 3) y) (/ (pow x 4) (pow y 2)))) y)
(/.f64 (-.f64 (neg.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)
(* (pow y 2) (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 x (.f64 y y)))) (.f64 y y))
(* (pow y 2) (+ 2 (* -1 (/ (pow x 2) (pow y 2)))))
(.f64 (-.f64 #s(literal 2 binary64) (.f64 x (/.f64 x (.f64 y y)))) (.f64 y y))
(* (pow y 2) (- (+ 1 (/ (* (pow x 4) (+ x (* -1 x))) (pow y 5))) (* -1 (/ (pow x 2) (pow y 2)))))
(.f64 (.f64 (fma.f64 x (/.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 5 binary64))))) y) y)
(* (pow y 2) (- (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 6) y)) (+ (/ (* (pow x 4) (pow (+ x (* -1 x)) 2)) y) (/ (pow x 6) y))) (* (pow x 4) (+ x (* -1 x)))) (pow y 5)))) (* -1 (/ (pow x 2) (pow y 2)))))
(.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64))) y) #s(literal 0 binary64)) (pow.f64 y #s(literal 5 binary64))))) (.f64 y y))
(* (pow y 2) (- (+ 3 (/ (* (pow x 4) (+ x (* -1 x))) (pow y 5))) (* -1 (/ (pow x 2) (pow y 2)))))
(.f64 (.f64 (fma.f64 x (/.f64 x (*.f64 y y)) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 5 binary64))))) y) y)
(* (pow y 2) (- (+ 3 (* -1 (/ (- (+ (* -1 (/ (pow x 6) y)) (+ (/ (* (pow x 4) (pow (+ x (* -1 x)) 2)) y) (/ (pow x 6) y))) (* (pow x 4) (+ x (* -1 x)))) (pow y 5)))) (* -1 (/ (pow x 2) (pow y 2)))))
(.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64))) y) #s(literal 0 binary64)) (pow.f64 y #s(literal 5 binary64))))) (.f64 y y))
(* (pow y 2) (- (+ 2 (/ (* (pow x 4) (+ x (* -1 x))) (pow y 5))) (* -1 (/ (pow x 2) (pow y 2)))))
(.f64 (.f64 (fma.f64 x (/.f64 x (*.f64 y y)) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 5 binary64))))) y) y)
(* (pow y 2) (- (+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 6) y)) (+ (/ (* (pow x 4) (pow (+ x (* -1 x)) 2)) y) (/ (pow x 6) y))) (* (pow x 4) (+ x (* -1 x)))) (pow y 5)))) (* -1 (/ (pow x 2) (pow y 2)))))
(.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64))) y) #s(literal 0 binary64)) (pow.f64 y #s(literal 5 binary64))))) (.f64 y y))
(* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))
(/.f64 (fma.f64 (neg.f64 x) x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (* -1 (pow x 2))) y))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y))) y)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) y) (pow x 4)) y)) (pow x 3)) y)) (* -1 (pow x 2))) y))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) y) (pow.f64 x #s(literal 4 binary64))) (neg.f64 y)) (pow.f64 x #s(literal 3 binary64))) y))) y)
(* -1 (/ (+ (/ (pow x 3) y) (pow x 2)) y))
(/.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 4) y)) (pow x 3)) y)) (pow x 2)) y))
(/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) y) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y))) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) y) (* -1 (pow x 4))) y)) (pow x 3)) y)) (pow x 2)) y))
(/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) y) (pow.f64 x #s(literal 4 binary64))) (neg.f64 y)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y))) (neg.f64 y))

rewrite228.0ms (4.5%)

Memory

-9.8MiB live, 179.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	274
0	69	246
1	332	215
2	3255	215
0	8713	212

Stop Event

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

Counts

22 → 1 238

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) y (.f64 x x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))) (neg.f64 (-.f64 (fma.f64 y y (.f64 x x)) (.f64 #s(literal 2 binary64) y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 3 binary64) y) y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) y (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 64 binary64) (.f64 (fma.f64 y y (.f64 x x)) (-.f64 (fma.f64 y y (.f64 x x)) (*.f64 #s(literal 2 binary64) y)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y (.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y (.f64 x x))) (pow.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 #s(literal 3 binary64) y) y) (*.f64 (neg.f64 x) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y (.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y (.f64 x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) y (.f64 x x)) (*.f64 (neg.f64 y) y))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) y (.f64 x x)) #s(literal 2 binary64))) (-.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) (-.f64 (fma.f64 y y (.f64 x x)) (.f64 #s(literal 2 binary64) y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 3 binary64) y) y)))
(/.f64 (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 #s(literal 3 binary64) y) y) (*.f64 (neg.f64 x) x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y (.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y (.f64 x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) y (.f64 x x)) (*.f64 (neg.f64 y) y)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) y (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 #s(literal 2 binary64) y) (fma.f64 y y (.f64 x x)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) y (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 64 binary64) (.f64 (fma.f64 y y (.f64 x x)) (-.f64 (fma.f64 y y (.f64 x x)) (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y (.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y (.f64 x x)) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) y) y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y (.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y (.f64 x x))) (pow.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64))) (-.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x)))
(/.f64 (fma.f64 #s(literal 2 binary64) y (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 (.f64 #s(literal 2 binary64) y) (fma.f64 y y (.f64 x x))))))
(/.f64 (fma.f64 #s(literal 2 binary64) y (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 64 binary64) (.f64 (fma.f64 y y (.f64 x x)) (-.f64 (fma.f64 y y (.f64 x x)) (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y (.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y (.f64 x x)) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) y) y))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) y (.f64 x x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (.f64 y y) (-.f64 (.f64 y y) (fma.f64 #s(literal 2 binary64) y (.f64 x x))) (pow.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x x)) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 3 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64))))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (.f64 (.f64 #s(literal 3 binary64) y) y))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))) (fma.f64 #s(literal 2 binary64) y (*.f64 x x)))
(fma.f64 (neg.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64))) (fma.f64 y y (*.f64 x x)))
(fma.f64 (fabs.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64))) (fma.f64 y y (*.f64 x x)))
(fma.f64 (fabs.f64 (.f64 #s(literal 2 binary64) (neg.f64 y))) y (fma.f64 y y (.f64 x x)))
(fma.f64 (fabs.f64 (.f64 #s(literal 3 binary64) (neg.f64 y))) y (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (fabs.f64 (.f64 #s(literal 3 binary64) (neg.f64 y))) y (.f64 x x))
(fma.f64 (fabs.f64 (.f64 #s(literal 3 binary64) y)) y (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (fabs.f64 (.f64 #s(literal 3 binary64) y)) y (.f64 x x))
(fma.f64 (pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (fma.f64 y y (*.f64 x x)))
(fma.f64 #s(literal 512 binary64) (pow.f64 y #s(literal 18 binary64)) (fma.f64 y y (*.f64 x x)))
(fma.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x x)))
(fma.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) (.f64 y y)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (fma.f64 y y (.f64 x x)))
(fma.f64 (pow.f64 (neg.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64)) (fma.f64 y y (*.f64 x x)))
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 6 binary64)) (fma.f64 y y (*.f64 x x)))
(fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (.f64 x x)))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (.f64 (.f64 y y) (.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64)) (fma.f64 y y (.f64 x x)))
(fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) y (.f64 x x)) (.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) y (.f64 x x)) (.f64 y y))
(fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 64 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal 2 binary64) y (.f64 x x)))) (.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 (/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 64 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal 2 binary64) y (.f64 x x)))) (.f64 y y))
(fma.f64 (.f64 #s(literal 2 binary64) (neg.f64 y)) (neg.f64 y) (fma.f64 y y (.f64 x x)))
(fma.f64 (.f64 #s(literal 3 binary64) (neg.f64 y)) (neg.f64 y) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (.f64 #s(literal 3 binary64) (neg.f64 y)) (neg.f64 y) (.f64 x x))
(fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64)) (fma.f64 y y (*.f64 x x)))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (.f64 #s(literal 2 binary64) y) (fma.f64 y y (.f64 x x)))
(fma.f64 (pow.f64 y #s(literal 9 binary64)) (.f64 #s(literal 2 binary64) y) (fma.f64 y y (.f64 x x)))
(fma.f64 (pow.f64 y #s(literal 18 binary64)) #s(literal 512 binary64) (fma.f64 y y (*.f64 x x)))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (fma.f64 #s(literal 2 binary64) y (*.f64 x x)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (.f64 (.f64 #s(literal 3 binary64) y) y))
(fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x x)))
(fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)) (fma.f64 y y (*.f64 x x)))
(fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64)) (fma.f64 y y (*.f64 x x)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 y y (.f64 x x)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 (neg.f64 y) (neg.f64 y)) #s(literal 3 binary64)) (fma.f64 y y (*.f64 x x)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64) (fma.f64 y y (*.f64 x x)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal 2 binary64) y) (fma.f64 y y (.f64 x x)))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)) (fma.f64 y y (*.f64 x x)))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64) (fma.f64 y y (*.f64 x x)))
(fma.f64 (neg.f64 y) (.f64 (neg.f64 y) #s(literal 2 binary64)) (fma.f64 y y (.f64 x x)))
(fma.f64 (neg.f64 y) (.f64 (neg.f64 y) #s(literal 3 binary64)) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (neg.f64 y) (.f64 (neg.f64 y) #s(literal 3 binary64)) (.f64 x x))
(fma.f64 (neg.f64 y) (+.f64 (neg.f64 y) (neg.f64 y)) (fma.f64 y y (*.f64 x x)))
(fma.f64 (neg.f64 y) (neg.f64 y) (fma.f64 #s(literal 2 binary64) y (*.f64 x x)))
(fma.f64 (.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 y y (.f64 x x)))
(fma.f64 (.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 9 binary64)) (fma.f64 y y (.f64 x x)))
(fma.f64 (.f64 #s(literal 2 binary64) y) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x)))
(fma.f64 (.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (.f64 x x)))
(fma.f64 (.f64 #s(literal 2 binary64) y) y (fma.f64 y y (.f64 x x)))
(fma.f64 #s(literal 2 binary64) (.f64 y y) (fma.f64 y y (.f64 x x)))
(fma.f64 #s(literal 2 binary64) y (fma.f64 y y (*.f64 x x)))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (.f64 #s(literal 3 binary64) y) y))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (fma.f64 y y (.f64 x x)))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
(fma.f64 x x (.f64 (.f64 #s(literal 3 binary64) y) y))
(fma.f64 y (fabs.f64 (.f64 (neg.f64 y) #s(literal 2 binary64))) (fma.f64 y y (.f64 x x)))
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(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 #s(literal 2 binary64) y (.f64 x x))))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) y (.f64 x x)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))) (fma.f64 (neg.f64 x) x (*.f64 y y)))
(fma.f64 (neg.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64))) (*.f64 (neg.f64 x) x))
(fma.f64 (fabs.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64))) (*.f64 (neg.f64 x) x))
(fma.f64 (fabs.f64 (.f64 #s(literal 2 binary64) (neg.f64 y))) y (.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 #s(literal 512 binary64) (pow.f64 y #s(literal 18 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) (.f64 y y)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (neg.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 6 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) (.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (.f64 (.f64 y y) (.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64)) (.f64 (neg.f64 x) x))
(fma.f64 (.f64 #s(literal 2 binary64) (neg.f64 y)) (neg.f64 y) (.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 3/2 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (.f64 #s(literal 2 binary64) y) (.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 y #s(literal 9 binary64)) (.f64 #s(literal 2 binary64) y) (.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 y #s(literal 18 binary64)) #s(literal 512 binary64) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (fma.f64 (neg.f64 x) x (*.f64 y y)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 x) (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) y) (*.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 (neg.f64 y) (neg.f64 y)) #s(literal 3 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal 2 binary64) y) (.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 8 binary64) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 y) (.f64 (neg.f64 y) #s(literal 2 binary64)) (.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 y) (+.f64 (neg.f64 y) (neg.f64 y)) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 y) (neg.f64 y) (fma.f64 (neg.f64 x) x (*.f64 y y)))
(fma.f64 (.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 3/2 binary64)) (.f64 (neg.f64 x) x))
(fma.f64 (.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 9 binary64)) (.f64 (neg.f64 x) x))
(fma.f64 (.f64 #s(literal 2 binary64) y) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 (.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 3 binary64)) (.f64 (neg.f64 x) x))
(fma.f64 (.f64 #s(literal 2 binary64) y) y (.f64 (neg.f64 x) x))
(fma.f64 #s(literal 2 binary64) (.f64 y y) (.f64 (neg.f64 x) x))
(fma.f64 #s(literal 2 binary64) y (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 x) (neg.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) y))
(fma.f64 (neg.f64 x) x (*.f64 #s(literal 2 binary64) y))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 (neg.f64 x) x))
(fma.f64 x (neg.f64 x) (*.f64 #s(literal 2 binary64) y))
(fma.f64 y (fabs.f64 (.f64 (neg.f64 y) #s(literal 2 binary64))) (.f64 (neg.f64 x) x))
(fma.f64 y (fabs.f64 (+.f64 (neg.f64 y) (neg.f64 y))) (*.f64 (neg.f64 x) x))
(fma.f64 y (.f64 #s(literal 2 binary64) y) (.f64 (neg.f64 x) x))
(fma.f64 y #s(literal 2 binary64) (*.f64 (neg.f64 x) x))
(fma.f64 y y (fma.f64 (neg.f64 x) x (*.f64 y y)))
(-.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (fma.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 64 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal 2 binary64) y (.f64 x x))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 64 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal 2 binary64) y (*.f64 x x))))))
(-.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) y (*.f64 x x))))
(-.f64 (.f64 #s(literal 2 binary64) y) (.f64 (neg.f64 (neg.f64 x)) x))
(-.f64 (.f64 #s(literal 2 binary64) y) (.f64 x x))
(+.f64 (.f64 (neg.f64 x) x) (.f64 #s(literal 2 binary64) y))
(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 (neg.f64 x) x))
(+.f64 (.f64 y y) (fma.f64 (neg.f64 x) x (.f64 y y)))

eval131.0ms (2.6%)

Memory: 20.6MiB live, 180.7MiB allocated
Compiler: Compiled 36 596 to 3 848 computations (89.5% saved)

prune37.0ms (0.7%)

Memory

-4.7MiB live, 75.4MiB allocated

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	1 185	6	1 191
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	1 188	8	1 196

Accuracy

100.0%

Counts

1 196 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y (fma.f64 (sqrt.f64 y) (sqrt.f64 y) y) (fma.f64 y y (*.f64 x x)))
▶	60.4%	(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
▶	75.3%	#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x) (.f64 (/.f64 y x) y) #s(literal 1 binary64)) (*.f64 x x)))
✓	99.9%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)))
▶	29.6%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y)))
▶	60.3%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
✓	60.3%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
	49.8%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))))

Compiler

Compiled 337 to 179 computations (46.9% saved)

simplify189.0ms (3.7%)

Memory

5.6MiB live, 204.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	222
0	67	204
1	149	203
2	488	197
3	2126	195
4	5896	193
0	8122	189

Stop Event

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

Calls

Call 1

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

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

localize85.0ms (1.7%)

Memory

6.9MiB live, 134.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x) (.f64 (/.f64 y x) y) #s(literal 1 binary64)) (*.f64 x x)))
accuracy	0.14453125	(*.f64 (/.f64 y x) y)
accuracy	1.4783804969564978	(fma.f64 (/.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y x) y) #s(literal 1 binary64))
accuracy	14.668062010532875	(.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x) (.f64 (/.f64 y x) y) #s(literal 1 binary64)) (*.f64 x x))
accuracy	0.0	(+.f64 y y)
accuracy	0.0	(*.f64 y y)
accuracy	0.01953125	(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
accuracy	25.341921026146842	#s(approx (+ (* y y) (* x x)) (*.f64 y y))
accuracy	0.0	(fma.f64 y y (*.f64 #s(literal 2 binary64) y))
accuracy	0.0	(*.f64 #s(literal 2 binary64) y)
accuracy	45.05623068908503	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y)))
accuracy	0.0	(*.f64 #s(literal 3 binary64) y)
accuracy	0.16015625	(.f64 (.f64 #s(literal 3 binary64) y) y)
accuracy	25.339868131947476	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
accuracy	0.0	(sqrt.f64 y)
accuracy	0.00390625	(fma.f64 y y (*.f64 x x))
accuracy	0.01953125	(fma.f64 y (fma.f64 (sqrt.f64 y) (sqrt.f64 y) y) (fma.f64 y y (*.f64 x x)))
accuracy	0.08984375	(fma.f64 (sqrt.f64 y) (sqrt.f64 y) y)

Samples

65.0ms

256×

valid

Compiler

Compiled 199 to 45 computations (77.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 19.0ms (37.7% of total)

ival-add: 15.0ms (29.8% of total)

ival-div: 8.0ms (15.9% of total)

ival-pow: 3.0ms (6% of total)

ival-sqrt: 2.0ms (4% of total)

ival-sub: 1.0ms (2% of total)

ival-neg: 1.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.3%)

Memory

-5.3MiB live, 25.2MiB allocated

Counts

19 → 40

Calls

Call 1

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

Outputs
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(pow y 2)
(+ (pow x 2) (pow y 2))
(* 3 (pow y 2))
(+ (* 3 (pow y 2)) (pow x 2))
(* 3 (/ (pow y 2) (pow x 2)))
(/ (+ (* 3 (pow y 2)) (pow x 2)) (pow x 2))
(/ 3 x)
(/ (pow y 2) x)
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (* -1 y)) x))))
(* (pow x 2) (- (+ 1 (* 2 (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
(* (pow x 2) (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))))) (* (pow y 2) (+ y (* -1 y)))) (pow x 3))) (* 2 (/ (pow y 2) (pow x 2))))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
1
(+ 1 (* 3 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* 2 (pow y 2)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x)))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) (* (pow y 2) (+ y (* -1 y)))) x)) (+ (* 2 (pow y 2)) (+ (pow y 2) (pow (+ y (* -1 y)) 2)))) x)))) x))))
(* 2 y)
(sqrt y)
(* 3 y)
(* y (+ 2 y))
(+ (* -1 (* y (+ x (* -1 x)))) (pow x 2))
(+ (* y (- (* y (- 3 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(+ (* y (- (* y (- (+ 3 (* -1 (/ (* y (* (+ x (* -1 x)) (- 1 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2)))))) (pow x 2)))) (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (* 2 (/ 1 y))))
(* (pow y 2) (- (+ 3 (* -1 (/ (* (pow x 4) (+ x (* -1 x))) (pow y 5)))) (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (- (+ 3 (* -1 (/ (+ (* -1 (pow x 6)) (+ (* (pow x 4) (pow (+ x (* -1 x)) 2)) (pow x 6))) (pow y 6)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (* (pow x 4) (+ x (* -1 x))) (pow y 5)))))
(* (pow y 2) (+ (* 3 (/ 1 (pow x 2))) (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (* -1 (- (pow (sqrt -1) 2) 1))))
(* (pow y 2) (+ 1 (+ (* -1 (- (pow (sqrt -1) 2) 1)) (/ (pow x 2) (pow y 2)))))
(* -1 (* y (- (pow (sqrt -1) 2) 1)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* (pow y 2) (- (+ 3 (/ (* (pow x 4) (+ x (* -1 x))) (pow y 5))) (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (- (+ 3 (* -1 (/ (- (+ (* -1 (/ (pow x 6) y)) (+ (/ (* (pow x 4) (pow (+ x (* -1 x)) 2)) y) (/ (pow x 6) y))) (* (pow x 4) (+ x (* -1 x)))) (pow y 5)))) (* -1 (/ (pow x 2) (pow y 2)))))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	((+ (* y (+ (* (sqrt y) (sqrt y)) y)) (+ (* y y) (* x x))) (+ (* (sqrt y) (sqrt y)) y) (sqrt y) (+ (* y y) (* x x)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y y) (* 2 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 2 y) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* y y) (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (* (+ (* (/ 3 x) (* (/ y x) y)) 1) (* x x)) (+ (* (/ 3 x) (* (/ y x) y)) 1) (/ 3 x) (* (/ y x) y))
4.0ms	y	@	-inf	((+ (* y (+ (* (sqrt y) (sqrt y)) y)) (+ (* y y) (* x x))) (+ (* (sqrt y) (sqrt y)) y) (sqrt y) (+ (* y y) (* x x)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y y) (* 2 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 2 y) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* y y) (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (* (+ (* (/ 3 x) (* (/ y x) y)) 1) (* x x)) (+ (* (/ 3 x) (* (/ y x) y)) 1) (/ 3 x) (* (/ y x) y))
3.0ms	y	@	inf	((+ (* y (+ (* (sqrt y) (sqrt y)) y)) (+ (* y y) (* x x))) (+ (* (sqrt y) (sqrt y)) y) (sqrt y) (+ (* y y) (* x x)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y y) (* 2 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 2 y) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* y y) (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (* (+ (* (/ 3 x) (* (/ y x) y)) 1) (* x x)) (+ (* (/ 3 x) (* (/ y x) y)) 1) (/ 3 x) (* (/ y x) y))
2.0ms	x	@	0	((+ (* y (+ (* (sqrt y) (sqrt y)) y)) (+ (* y y) (* x x))) (+ (* (sqrt y) (sqrt y)) y) (sqrt y) (+ (* y y) (* x x)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y y) (* 2 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 2 y) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* y y) (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (* (+ (* (/ 3 x) (* (/ y x) y)) 1) (* x x)) (+ (* (/ 3 x) (* (/ y x) y)) 1) (/ 3 x) (* (/ y x) y))
2.0ms	x	@	-inf	((+ (* y (+ (* (sqrt y) (sqrt y)) y)) (+ (* y y) (* x x))) (+ (* (sqrt y) (sqrt y)) y) (sqrt y) (+ (* y y) (* x x)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y y) (* 2 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 2 y) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* y y) (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (* (+ (* (/ 3 x) (* (/ y x) y)) 1) (* x x)) (+ (* (/ 3 x) (* (/ y x) y)) 1) (/ 3 x) (* (/ y x) y))

simplify103.0ms (2%)

Memory

-5.3MiB live, 118.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	176	438
1	599	398
2	2851	352
0	8943	327

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 40

Calls

Call 1

Inputs
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(pow y 2)
(+ (pow x 2) (pow y 2))
(* 3 (pow y 2))
(+ (* 3 (pow y 2)) (pow x 2))
(* 3 (/ (pow y 2) (pow x 2)))
(/ (+ (* 3 (pow y 2)) (pow x 2)) (pow x 2))
(/ 3 x)
(/ (pow y 2) x)
(pow x 2)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (* -1 y)) x))))
(* (pow x 2) (- (+ 1 (* 2 (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
(* (pow x 2) (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))))) (* (pow y 2) (+ y (* -1 y)))) (pow x 3))) (* 2 (/ (pow y 2) (pow x 2))))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
1
(+ 1 (* 3 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* 2 (pow y 2)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x)))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) (* (pow y 2) (+ y (* -1 y)))) x)) (+ (* 2 (pow y 2)) (+ (pow y 2) (pow (+ y (* -1 y)) 2)))) x)))) x))))
(* 2 y)
(sqrt y)
(* 3 y)
(* y (+ 2 y))
(+ (* -1 (* y (+ x (* -1 x)))) (pow x 2))
(+ (* y (- (* y (- 3 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(+ (* y (- (* y (- (+ 3 (* -1 (/ (* y (* (+ x (* -1 x)) (- 1 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2)))))) (pow x 2)))) (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (* 2 (/ 1 y))))
(* (pow y 2) (- (+ 3 (* -1 (/ (* (pow x 4) (+ x (* -1 x))) (pow y 5)))) (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (- (+ 3 (* -1 (/ (+ (* -1 (pow x 6)) (+ (* (pow x 4) (pow (+ x (* -1 x)) 2)) (pow x 6))) (pow y 6)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (* (pow x 4) (+ x (* -1 x))) (pow y 5)))))
(* (pow y 2) (+ (* 3 (/ 1 (pow x 2))) (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (* -1 (- (pow (sqrt -1) 2) 1))))
(* (pow y 2) (+ 1 (+ (* -1 (- (pow (sqrt -1) 2) 1)) (/ (pow x 2) (pow y 2)))))
(* -1 (* y (- (pow (sqrt -1) 2) 1)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* (pow y 2) (- (+ 3 (/ (* (pow x 4) (+ x (* -1 x))) (pow y 5))) (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (- (+ 3 (* -1 (/ (- (+ (* -1 (/ (pow x 6) y)) (+ (/ (* (pow x 4) (pow (+ x (* -1 x)) 2)) y) (/ (pow x 6) y))) (* (pow x 4) (+ x (* -1 x)))) (pow y 5)))) (* -1 (/ (pow x 2) (pow y 2)))))

Outputs
(+ (* 2 (pow y 2)) (pow y 2))
(.f64 #s(literal 3 binary64) (.f64 y y))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
(pow y 2)
(*.f64 y y)
(+ (pow x 2) (pow y 2))
(fma.f64 x x (*.f64 y y))
(* 3 (pow y 2))
(.f64 #s(literal 3 binary64) (.f64 y y))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
(* 3 (/ (pow y 2) (pow x 2)))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 y x))
(/ (+ (* 3 (pow y 2)) (pow x 2)) (pow x 2))
(fma.f64 (/.f64 (*.f64 y y) x) (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(fma.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 y y)) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 (/.f64 (.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (* -1 y)) x))))
(*.f64 x x)
(* (pow x 2) (- (+ 1 (* 2 (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
(fma.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 y y)) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))))) (* (pow y 2) (+ y (* -1 y)))) (pow x 3))) (* 2 (/ (pow y 2) (pow x 2))))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
(fma.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 y y)) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(fma.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 y y)) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* 3 (/ (pow y 2) (pow x 2))))
(fma.f64 (/.f64 (*.f64 y y) x) (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* 2 (pow y 2)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x)))) x))))
(fma.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 y y)) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) (* (pow y 2) (+ y (* -1 y)))) x)) (+ (* 2 (pow y 2)) (+ (pow y 2) (pow (+ y (* -1 y)) 2)))) x)))) x))))
(fma.f64 (/.f64 (.f64 #s(literal 3 binary64) (.f64 y y)) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 x x))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(sqrt y)
(sqrt.f64 y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* y (+ 2 y))
(*.f64 (+.f64 #s(literal 2 binary64) y) y)
(+ (* -1 (* y (+ x (* -1 x)))) (pow x 2))
(*.f64 x x)
(+ (* y (- (* y (- 3 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
(+ (* y (- (* y (- (+ 3 (* -1 (/ (* y (* (+ x (* -1 x)) (- 1 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2)))))) (pow x 2)))) (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 3 binary64)) (.f64 y y))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 y y))
(* (pow y 2) (+ 1 (* 2 (/ 1 y))))
(*.f64 y (fma.f64 (/.f64 #s(literal 2 binary64) y) y y))
(* (pow y 2) (- (+ 3 (* -1 (/ (* (pow x 4) (+ x (* -1 x))) (pow y 5)))) (* -1 (/ (pow x 2) (pow y 2)))))
(.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 3 binary64)) (.f64 y y))
(* (pow y 2) (- (+ 3 (* -1 (/ (+ (* -1 (pow x 6)) (+ (* (pow x 4) (pow (+ x (* -1 x)) 2)) (pow x 6))) (pow y 6)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (* (pow x 4) (+ x (* -1 x))) (pow y 5)))))
(.f64 (+.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 3 binary64))) (.f64 y y))
(* (pow y 2) (+ (* 3 (/ 1 (pow x 2))) (/ 1 (pow y 2))))
(fma.f64 (/.f64 (*.f64 y y) x) (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(* (pow y 2) (+ 1 (* -1 (- (pow (sqrt -1) 2) 1))))
(.f64 #s(literal 3 binary64) (.f64 y y))
(* (pow y 2) (+ 1 (+ (* -1 (- (pow (sqrt -1) 2) 1)) (/ (pow x 2) (pow y 2)))))
(.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 3 binary64)) (.f64 y y))
(* -1 (* y (- (pow (sqrt -1) 2) 1)))
(*.f64 #s(literal 2 binary64) y)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* (pow y 2) (- (+ 3 (/ (* (pow x 4) (+ x (* -1 x))) (pow y 5))) (* -1 (/ (pow x 2) (pow y 2)))))
(.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 3 binary64)) (.f64 y y))
(* (pow y 2) (- (+ 3 (* -1 (/ (- (+ (* -1 (/ (pow x 6) y)) (+ (/ (* (pow x 4) (pow (+ x (* -1 x)) 2)) y) (/ (pow x 6) y))) (* (pow x 4) (+ x (* -1 x)))) (pow y 5)))) (* -1 (/ (pow x 2) (pow y 2)))))
(fma.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64)) y) (pow.f64 y #s(literal 5 binary64)))) (.f64 y y) (.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))

rewrite130.0ms (2.5%)

Memory

10.4MiB live, 103.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	202
0	67	184
1	334	170
2	3265	131
0	9775	131

Stop Event

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

Counts

19 → 428

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 0 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 y y #s(literal 0 binary64)) (.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (fma.f64 y y (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)))))
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(fma.f64 (.f64 (/.f64 y x) (/.f64 #s(literal 3 binary64) x)) (.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 y x) (/.f64 #s(literal 3 binary64) x)) y #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x)) #s(literal 1 binary64))
(fma.f64 (.f64 (/.f64 y x) y) (.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 y x) y) (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(fma.f64 (/.f64 y x) (*.f64 y (/.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 3 binary64) x) (.f64 (.f64 (/.f64 y x) y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y x) y) #s(literal 1 binary64))
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 (/.f64 y x) y) x) #s(literal 1 binary64))
(fma.f64 y (*.f64 (/.f64 y x) (/.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (.f64 (/.f64 y x) y) x) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x)) #s(literal 1 binary64))) (pow.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (/.f64 y x) (/.f64 #s(literal 3 binary64) x))) y))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (/.f64 y x) y)) (/.f64 #s(literal 3 binary64) x)))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 #s(literal 3 binary64) x)) (.f64 (/.f64 y x) y)))
(+.f64 (/.f64 (.f64 #s(literal 27 binary64) (pow.f64 (/.f64 (.f64 (/.f64 y x) y) x) #s(literal 3 binary64))) (-.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (.f64 (/.f64 y x) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x)))) (pow.f64 (-.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (.f64 (/.f64 y x) y) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 3 binary64) x) y) (/.f64 y x)))
(/.f64 #s(literal -3 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal -3 binary64) (neg.f64 x))
(/.f64 #s(literal 3 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 3 binary64) x)
(neg.f64 (/.f64 #s(literal -3 binary64) x))
(.f64 (.f64 (/.f64 y x) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 y x) y)
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 y x)))
(*.f64 y (/.f64 y x))
(/.f64 (*.f64 y y) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 y y) (neg.f64 x))
(/.f64 (*.f64 y y) x)

eval52.0ms (1%)

Memory: 7.6MiB live, 66.2MiB allocated
Compiler: Compiled 15 016 to 1 364 computations (90.9% saved)

prune41.0ms (0.8%)

Memory

-3.8MiB live, 32.8MiB allocated

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	466	6	472
Fresh	0	1	1
Picked	3	2	5
Done	0	2	2
Total	469	11	480

Accuracy

100.0%

Counts

480 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	60.4%	(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
▶	77.7%	(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))
▶	38.1%	#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (fma.f64 y y #s(literal 0 binary64)))
▶	57.7%	#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (*.f64 x x))
✓	99.9%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)))
▶	29.6%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+.f64 (fma.f64 y y y) y))
▶	29.6%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
	60.2%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 y)) (sqrt.f64 y)))
✓	60.3%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
✓	60.3%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
	49.8%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))))

Compiler

Compiled 438 to 229 computations (47.7% saved)

simplify115.0ms (2.2%)

Memory

-7.0MiB live, 121.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	169
0	41	161
1	94	151
2	322	145
3	1200	141
4	3729	137
0	8224	133

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))
x
(fma.f64 y y #s(literal 0 binary64))
y
#s(literal 0 binary64)
#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 y y #s(literal 0 binary64))
y
#s(literal 0 binary64)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
(*.f64 (+.f64 #s(literal 2 binary64) y) y)
(+.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+.f64 (fma.f64 y y y) y))
(+.f64 (fma.f64 y y y) y)
(fma.f64 y y y)
y

Outputs
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 y y (*.f64 x x))
x
(fma.f64 y y #s(literal 0 binary64))
(*.f64 y y)
y
#s(literal 0 binary64)
#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (fma.f64 y y #s(literal 0 binary64)))
#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (*.f64 y y))
(fma.f64 y y #s(literal 0 binary64))
(*.f64 y y)
y
#s(literal 0 binary64)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (-.f64 y #s(literal -2 binary64)) y))
(*.f64 (+.f64 #s(literal 2 binary64) y) y)
(*.f64 (-.f64 y #s(literal -2 binary64)) y)
(+.f64 #s(literal 2 binary64) y)
(-.f64 y #s(literal -2 binary64))
#s(literal 2 binary64)
y
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+.f64 (fma.f64 y y y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (-.f64 y #s(literal -2 binary64)) y))
(+.f64 (fma.f64 y y y) y)
(*.f64 (-.f64 y #s(literal -2 binary64)) y)
(fma.f64 y y y)
y

localize53.0ms (1%)

Memory

12.8MiB live, 43.2MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 y y y)
accuracy	0.03515625	(+.f64 (fma.f64 y y y) y)
accuracy	45.05623068908503	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+.f64 (fma.f64 y y y) y))
accuracy	0.0	(+.f64 #s(literal 2 binary64) y)
accuracy	0.0234375	(*.f64 (+.f64 #s(literal 2 binary64) y) y)
accuracy	45.05623068908503	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
accuracy	0.0	(fma.f64 y y #s(literal 0 binary64))
accuracy	39.59175248882997	#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (fma.f64 y y #s(literal 0 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	27.059996620084704	#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (*.f64 x x))
accuracy	0.0	(fma.f64 y y #s(literal 0 binary64))
accuracy	0.0	(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))

Samples

41.0ms

256×

valid

Compiler

Compiled 155 to 31 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-add: 14.0ms (46.1% of total)

ival-mult: 7.0ms (23.1% of total)

ival-div: 4.0ms (13.2% of total)

ival-pow: 3.0ms (9.9% of total)

ival-sub: 1.0ms (3.3% of total)

ival-neg: 1.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

11 → 32

Calls

Call 1

Inputs
(fma.f64 y y #s(literal 0 binary64))
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))
#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (*.f64 x x))
(*.f64 x x)
#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (fma.f64 y y #s(literal 0 binary64)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
(*.f64 (+.f64 #s(literal 2 binary64) y) y)
(+.f64 #s(literal 2 binary64) y)
(+.f64 (fma.f64 y y y) y)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+.f64 (fma.f64 y y y) y))
(fma.f64 y y y)

Outputs
(pow y 2)
(+ (pow x 2) (pow y 2))
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (* -1 y)) x))))
(* (pow x 2) (- (+ 1 (* 2 (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
(* (pow x 2) (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))))) (* (pow y 2) (+ y (* -1 y)))) (pow x 3))) (* 2 (/ (pow y 2) (pow x 2))))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* 2 (pow y 2)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x)))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) (* (pow y 2) (+ y (* -1 y)))) x)) (+ (* 2 (pow y 2)) (+ (pow y 2) (pow (+ y (* -1 y)) 2)))) x)))) x))))
(+ (* -1 (* y (+ x (* -1 x)))) (pow x 2))
(+ (* y (- (* y (- 3 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(+ (* y (- (* y (- (+ 3 (* -1 (/ (* y (* (+ x (* -1 x)) (- 1 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2)))))) (pow x 2)))) (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(* 2 y)
(* y (+ 2 y))
2
(+ 2 y)
y
(* y (+ 1 y))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (- (+ 3 (* -1 (/ (* (pow x 4) (+ x (* -1 x))) (pow y 5)))) (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (- (+ 3 (* -1 (/ (+ (* -1 (pow x 6)) (+ (* (pow x 4) (pow (+ x (* -1 x)) 2)) (pow x 6))) (pow y 6)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (* (pow x 4) (+ x (* -1 x))) (pow y 5)))))
(* (pow y 2) (+ 1 (* 2 (/ 1 y))))
(* y (+ 1 (* 2 (/ 1 y))))
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (- (+ 3 (/ (* (pow x 4) (+ x (* -1 x))) (pow y 5))) (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (- (+ 3 (* -1 (/ (- (+ (* -1 (/ (pow x 6) y)) (+ (/ (* (pow x 4) (pow (+ x (* -1 x)) 2)) y) (/ (pow x 6) y))) (* (pow x 4) (+ x (* -1 x)))) (pow y 5)))) (* -1 (/ (pow x 2) (pow y 2)))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((+ (* y y) 0) (+ (* x x) (+ (* y y) 0)) (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (* x x) (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (+ 2 y) y) (+ 2 y) (+ (+ (* y y) y) y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) y))
1.0ms	y	@	inf	((+ (* y y) 0) (+ (* x x) (+ (* y y) 0)) (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (* x x) (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (+ 2 y) y) (+ 2 y) (+ (+ (* y y) y) y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) y))
1.0ms	x	@	0	((+ (* y y) 0) (+ (* x x) (+ (* y y) 0)) (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (* x x) (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (+ 2 y) y) (+ 2 y) (+ (+ (* y y) y) y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) y))
1.0ms	y	@	0	((+ (* y y) 0) (+ (* x x) (+ (* y y) 0)) (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (* x x) (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (+ 2 y) y) (+ 2 y) (+ (+ (* y y) y) y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) y))
1.0ms	x	@	inf	((+ (* y y) 0) (+ (* x x) (+ (* y y) 0)) (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (* x x) (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (+ 2 y) y) (+ 2 y) (+ (+ (* y y) y) y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) y))

simplify86.0ms (1.7%)

Memory

-5.9MiB live, 54.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	497
1	541	388
2	2674	286
0	9011	265

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 31

Calls

Call 1

Inputs
(pow y 2)
(+ (pow x 2) (pow y 2))
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (* -1 y)) x))))
(* (pow x 2) (- (+ 1 (* 2 (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
(* (pow x 2) (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))))) (* (pow y 2) (+ y (* -1 y)))) (pow x 3))) (* 2 (/ (pow y 2) (pow x 2))))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* 2 (pow y 2)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x)))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) (* (pow y 2) (+ y (* -1 y)))) x)) (+ (* 2 (pow y 2)) (+ (pow y 2) (pow (+ y (* -1 y)) 2)))) x)))) x))))
(+ (* -1 (* y (+ x (* -1 x)))) (pow x 2))
(+ (* y (- (* y (- 3 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(+ (* y (- (* y (- (+ 3 (* -1 (/ (* y (* (+ x (* -1 x)) (- 1 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2)))))) (pow x 2)))) (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(+ (* 3 (pow y 2)) (pow x 2))
(* 2 y)
(* y (+ 2 y))
2
(+ 2 y)
y
(* y (+ 1 y))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* 3 (pow y 2))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (- (+ 3 (* -1 (/ (* (pow x 4) (+ x (* -1 x))) (pow y 5)))) (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (- (+ 3 (* -1 (/ (+ (* -1 (pow x 6)) (+ (* (pow x 4) (pow (+ x (* -1 x)) 2)) (pow x 6))) (pow y 6)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (* (pow x 4) (+ x (* -1 x))) (pow y 5)))))
(* (pow y 2) (+ 1 (* 2 (/ 1 y))))
(* y (+ 1 (* 2 (/ 1 y))))
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (- (+ 3 (/ (* (pow x 4) (+ x (* -1 x))) (pow y 5))) (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (- (+ 3 (* -1 (/ (- (+ (* -1 (/ (pow x 6) y)) (+ (/ (* (pow x 4) (pow (+ x (* -1 x)) 2)) y) (/ (pow x 6) y))) (* (pow x 4) (+ x (* -1 x)))) (pow y 5)))) (* -1 (/ (pow x 2) (pow y 2)))))

Outputs
(pow y 2)
(*.f64 y y)
(+ (pow x 2) (pow y 2))
(fma.f64 x x (*.f64 y y))
(+ (* 2 (pow y 2)) (pow y 2))
(.f64 #s(literal 3 binary64) (.f64 y y))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) (.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (* -1 y)) x))))
(*.f64 x x)
(* (pow x 2) (- (+ 1 (* 2 (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))))) (* (pow y 2) (+ y (* -1 y)))) (pow x 3))) (* 2 (/ (pow y 2) (pow x 2))))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* 2 (pow y 2)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x)))) x))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* (+ y (* -1 y)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) (* (pow y 2) (+ y (* -1 y)))) x)) (+ (* 2 (pow y 2)) (+ (pow y 2) (pow (+ y (* -1 y)) 2)))) x)))) x))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 3 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))
(+ (* -1 (* y (+ x (* -1 x)))) (pow x 2))
(*.f64 x x)
(+ (* y (- (* y (- 3 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
(+ (* y (- (* y (- (+ 3 (* -1 (/ (* y (* (+ x (* -1 x)) (- 1 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2)))))) (pow x 2)))) (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
(+ (* 3 (pow y 2)) (pow x 2))
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* y (+ 2 y))
(*.f64 (-.f64 y #s(literal -2 binary64)) y)
2
#s(literal 2 binary64)
(+ 2 y)
(-.f64 y #s(literal -2 binary64))
y
(* y (+ 1 y))
(fma.f64 y y y)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 (.f64 x x) y) y (.f64 y y))
(* 3 (pow y 2))
(.f64 #s(literal 3 binary64) (.f64 y y))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 3 binary64)) (.f64 y y))
(* (pow y 2) (- (+ 3 (* -1 (/ (* (pow x 4) (+ x (* -1 x))) (pow y 5)))) (* -1 (/ (pow x 2) (pow y 2)))))
(.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 3 binary64)) (.f64 y y))
(* (pow y 2) (- (+ 3 (* -1 (/ (+ (* -1 (pow x 6)) (+ (* (pow x 4) (pow (+ x (* -1 x)) 2)) (pow x 6))) (pow y 6)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (* (pow x 4) (+ x (* -1 x))) (pow y 5)))))
(.f64 (+.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 3 binary64))) (.f64 y y))
(* (pow y 2) (+ 1 (* 2 (/ 1 y))))
(*.f64 (-.f64 y #s(literal -2 binary64)) y)
(* y (+ 1 (* 2 (/ 1 y))))
(-.f64 y #s(literal -2 binary64))
(* (pow y 2) (+ 1 (/ 1 y)))
(fma.f64 y y y)
(* (pow y 2) (- (+ 3 (/ (* (pow x 4) (+ x (* -1 x))) (pow y 5))) (* -1 (/ (pow x 2) (pow y 2)))))
(.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 3 binary64)) (.f64 y y))
(* (pow y 2) (- (+ 3 (* -1 (/ (- (+ (* -1 (/ (pow x 6) y)) (+ (/ (* (pow x 4) (pow (+ x (* -1 x)) 2)) y) (/ (pow x 6) y))) (* (pow x 4) (+ x (* -1 x)))) (pow y 5)))) (* -1 (/ (pow x 2) (pow y 2)))))
(fma.f64 (-.f64 #s(literal 3 binary64) (/.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64)) y) (pow.f64 y #s(literal 5 binary64)))) (.f64 y y) (.f64 (/.f64 (*.f64 x x) y) y))

rewrite124.0ms (2.4%)

Memory

11.2MiB live, 76.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	156
0	41	149
1	254	131
2	3113	97
0	8427	93

Stop Event

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

Counts

11 → 332

Calls

Call 1

Inputs
(fma.f64 y y #s(literal 0 binary64))
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))
#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (*.f64 x x))
(*.f64 x x)
#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (fma.f64 y y #s(literal 0 binary64)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
(*.f64 (+.f64 #s(literal 2 binary64) y) y)
(+.f64 #s(literal 2 binary64) y)
(+.f64 (fma.f64 y y y) y)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+.f64 (fma.f64 y y y) y))
(fma.f64 y y y)

Outputs
(*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 0 binary64))) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(/.f64 (fabs.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y))
(/.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 0 binary64))) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (fabs.f64 (pow.f64 y #s(literal 6 binary64))) (fabs.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (fabs.f64 (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (fabs.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 0 binary64)) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y))
(/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y y))
(/.f64 (pow.f64 y #s(literal 6 binary64)) (neg.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (pow.f64 y #s(literal 6 binary64)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (*.f64 (neg.f64 y) y))
(neg.f64 (*.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))) (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) (neg.f64 y) (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (neg.f64 y) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 y y (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 y y #s(literal 0 binary64))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(-.f64 (.f64 y y) (/.f64 #s(literal 0 binary64) (.f64 y y)))
(-.f64 (*.f64 y y) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y))
(fabs.f64 (-.f64 (/.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 y y)))
(fabs.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) #s(literal 0 binary64)))
(fabs.f64 (-.f64 (*.f64 (neg.f64 y) y) #s(literal 0 binary64)))
(fabs.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (-.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 (log.f64 y) #s(literal 4 binary64))))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))))
(+.f64 (*.f64 y y) (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))))
(+.f64 (*.f64 y y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 y y))
(/.f64 (+.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))
(/.f64 (+.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (neg.f64 y) y (*.f64 x x)))
(/.f64 (+.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (neg.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 2 binary64)) #s(literal 0 binary64))) (neg.f64 (-.f64 (fma.f64 x x (.f64 y y)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (fma.f64 x x (.f64 y y)) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (neg.f64 y) y (.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (neg.f64 y) y (.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))) (pow.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 x y) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 x y))))) (neg.f64 (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (+.f64 x y))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 x y) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 x y))))) (neg.f64 (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (-.f64 x y))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x)) (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (.f64 (fma.f64 (neg.f64 x) x (.f64 y y)) (fma.f64 (neg.f64 y) y (.f64 x x)))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (+.f64 x y) (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 x y))))) (neg.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (+.f64 x y))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (-.f64 x y) (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 x y))))) (neg.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (-.f64 x y))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (fma.f64 (neg.f64 y) y (.f64 x x)) (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (pow.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 x y)) (fma.f64 (neg.f64 x) x (.f64 y y)) (.f64 (+.f64 x y) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (.f64 (+.f64 x y) (fma.f64 (neg.f64 x) x (.f64 y y)))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 x y)) (fma.f64 (neg.f64 y) y (.f64 x x)) (.f64 (+.f64 x y) (neg.f64 (pow.f64 y #s(literal 4 binary64)))))) (neg.f64 (.f64 (+.f64 x y) (fma.f64 (neg.f64 y) y (.f64 x x)))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 x y)) (fma.f64 (neg.f64 x) x (.f64 y y)) (.f64 (-.f64 x y) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (.f64 (-.f64 x y) (fma.f64 (neg.f64 x) x (.f64 y y)))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 x y)) (fma.f64 (neg.f64 y) y (.f64 x x)) (.f64 (-.f64 x y) (neg.f64 (pow.f64 y #s(literal 4 binary64)))))) (neg.f64 (.f64 (-.f64 x y) (fma.f64 (neg.f64 y) y (.f64 x x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (.f64 y y)) (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (fma.f64 (neg.f64 x) x (.f64 y y)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 x x)) (.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))))) (neg.f64 (pow.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 y) y (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 x x) (*.f64 (neg.f64 y) y))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 (fma.f64 x x (.f64 y y)) #s(literal 0 binary64)))
(/.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (fma.f64 (neg.f64 y) y (.f64 x x)) #s(literal 2 binary64))) (/.f64 (-.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (neg.f64 y) y (.f64 x x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (neg.f64 x) x (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 x x) (*.f64 (neg.f64 y) y)))))
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#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
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eval34.0ms (0.7%)

Memory: -15.7MiB live, 43.7MiB allocated
Compiler: Compiled 10 058 to 975 computations (90.3% saved)

prune11.0ms (0.2%)

Memory

24.3MiB live, 24.3MiB allocated

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	349	2	351
Fresh	0	2	2
Picked	2	3	5
Done	0	4	4
Total	351	11	362

Accuracy

100.0%

Counts

362 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	60.4%	(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
	77.7%	(fma.f64 x x (*.f64 y y))
	38.1%	#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (*.f64 y y))
✓	57.7%	#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (*.f64 x x))
✓	99.9%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)))
✓	29.6%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+.f64 (fma.f64 y y y) y))
✓	29.6%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
	60.2%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 y)) (sqrt.f64 y)))
✓	60.3%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
✓	60.3%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
	49.8%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))))

Compiler

Compiled 734 to 227 computations (69.1% saved)

regimes43.0ms (0.8%)

Memory

-30.8MiB live, 33.4MiB allocated

Counts

20 → 1

Calls

Call 1

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

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

Calls

5 calls:

19.0ms	y
5.0ms	x
5.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
5.0ms	(*.f64 y y)
4.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
100.0%	1	`(*.f64 y y)`
100.0%	1	`(*.f64 x x)`
100.0%	1	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes21.0ms (0.4%)

Memory

24.8MiB live, 24.8MiB allocated

Counts

16 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	y
4.0ms	x
4.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
4.0ms	(*.f64 y y)
4.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
100.0%	1	`(*.f64 y y)`
100.0%	1	`(*.f64 x x)`
100.0%	1	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes33.0ms (0.6%)

Memory

-3.1MiB live, 27.4MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (fma.f64 y y #s(literal 0 binary64)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+.f64 (fma.f64 y y y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y)))
(fma.f64 x x (*.f64 y y))
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)))

Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)))

Calls

5 calls:

12.0ms	x
10.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
3.0ms	y
3.0ms	(*.f64 x x)
3.0ms	(*.f64 y y)

Results

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

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes17.0ms (0.3%)

Memory

-11.4MiB live, 20.4MiB allocated

Counts

11 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (fma.f64 y y #s(literal 0 binary64)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+.f64 (fma.f64 y y y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y)))
(fma.f64 x x (*.f64 y y))
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))

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

Calls

5 calls:

4.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
3.0ms	x
3.0ms	y
3.0ms	(*.f64 y y)
3.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
83.2%	2	`(*.f64 y y)`
92.4%	2	`(*.f64 x x)`
82.9%	4	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
92.4%	2	`x`
83.2%	2	`y`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes6.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (fma.f64 y y #s(literal 0 binary64)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+.f64 (fma.f64 y y y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y)))
(fma.f64 x x (*.f64 y y))
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))

Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
(fma.f64 x x (*.f64 y y))

Calls

2 calls:

3.0ms	x
3.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
92.3%	2	`(*.f64 x x)`
92.3%	2	`x`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes5.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (fma.f64 y y #s(literal 0 binary64)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+.f64 (fma.f64 y y y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y)))

Outputs

#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (*.f64 #s(literal 3 binary64) y) y))

#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (*.f64 x x))

Calls

2 calls:

3.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
86.3%	2	`(*.f64 x x)`
86.3%	2	`x`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes4.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (fma.f64 y y #s(literal 0 binary64)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+.f64 (fma.f64 y y y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))

Outputs

#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (*.f64 y y)))

#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (*.f64 x x))

Calls

2 calls:

2.0ms	x
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
86.3%	2	`(*.f64 x x)`
86.3%	2	`x`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes12.0ms (0.2%)

Memory

-33.3MiB live, 13.8MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (*.f64 x x))
#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (*.f64 y y))
#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (fma.f64 y y #s(literal 0 binary64)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+.f64 (fma.f64 y y y) y))

Outputs

#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (*.f64 x x))

#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (*.f64 y y))

Calls

5 calls:

4.0ms	x
2.0ms	y
2.0ms	(*.f64 x x)
2.0ms	(*.f64 y y)
2.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))

Results

Accuracy	Segments	Branch
59.7%	2	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
74.1%	2	`(*.f64 y y)`
74.1%	2	`y`
66.3%	2	`(*.f64 x x)`
66.3%	2	`x`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes5.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (*.f64 x x))

Outputs
#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (*.f64 x x))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
57.7%	1	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
57.7%	1	`(*.f64 x x)`
57.7%	1	`x`
57.7%	1	`(*.f64 y y)`
57.7%	1	`y`

Compiler

Compiled 23 to 17 computations (26.1% saved)

bsearch11.0ms (0.2%)

Memory

-21.3MiB live, 10.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	3.454303087226932e-95	3.700678644372567e-91

Samples

5.0ms

128×

valid

Compiler

Compiled 194 to 132 computations (32% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (66.5% of total)

ival-add: 1.0ms (33.2% of total)

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

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

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.454303087226932e-95	3.700678644372567e-91

Compiler

Compiled 234 to 148 computations (36.8% saved)

bsearch12.0ms (0.2%)

Memory

10.8MiB live, 10.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	319542058201568450.0	1.5578132463371107e+25

Samples

6.0ms

144×

valid

Compiler

Compiled 567 to 309 computations (45.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-add: 2.0ms (59.8% of total)

ival-mult: 2.0ms (59.8% of total)

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

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

bsearch4.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	319542058201568450.0	1.5578132463371107e+25

Samples

1.0ms

32×

valid

Compiler

Compiled 567 to 309 computations (45.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

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

bsearch11.0ms (0.2%)

Memory

8.4MiB live, 8.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.2490056795297847e+149	1.9901758599239924e+152

Samples

5.0ms

128×

valid

Compiler

Compiled 658 to 348 computations (47.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (66.3% of total)

ival-add: 1.0ms (33.1% of total)

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

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

simplify64.0ms (1.3%)

Memory

-6.8MiB live, 24.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	56	360
1	96	337
2	264	329
3	973	319
4	2835	319
5	5334	284
6	7361	284

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 y (fma.f64 (sqrt.f64 y) (sqrt.f64 y) y) (fma.f64 y y (*.f64 x x)))
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)))
(if (<=.f64 x #s(literal 96326941871583/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496 binary64)) (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (.f64 y y))) (fma.f64 x x (.f64 y y)))
(if (<=.f64 x #s(literal 96326941871583/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y))) (fma.f64 x x (*.f64 y y)))
(if (<=.f64 x #s(literal 1300000000000000000 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y)) #s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (*.f64 x x)))
(if (<=.f64 x #s(literal 1500000000000000000 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y))) #s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (*.f64 x x)))
(if (<=.f64 y #s(literal 1219999999999999980253620951851631453245825456557011599339427871824592438295938867134280328278779422025451767093552554441304387475405142484517723832320 binary64)) #s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (.f64 x x)) #s(approx (+ (+ (+ ( (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (*.f64 y y)))
#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (*.f64 x x))

Outputs
(fma.f64 y (fma.f64 (sqrt.f64 y) (sqrt.f64 y) y) (fma.f64 y y (*.f64 x x)))
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)))
(if (<=.f64 x #s(literal 96326941871583/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496 binary64)) (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (.f64 y y))) (fma.f64 x x (.f64 y y)))
(if (<=.f64 x #s(literal 96326941871583/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y))) (fma.f64 x x (*.f64 y y)))
(if (<=.f64 x #s(literal 1300000000000000000 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y)) #s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (*.f64 x x)))
(if (<=.f64 x #s(literal 1500000000000000000 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y))) #s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (*.f64 x x)))
(if (<=.f64 y #s(literal 1219999999999999980253620951851631453245825456557011599339427871824592438295938867134280328278779422025451767093552554441304387475405142484517723832320 binary64)) #s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (.f64 x x)) #s(approx (+ (+ (+ ( (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (*.f64 y y)))
#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (*.f64 x x))

soundness1.6s (32%)

Memory

-8.3MiB live, 342.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	156
0	41	149
1	254	131
2	3113	97
0	8427	93
0	30	121
1	93	105
2	321	105
3	2169	105
0	8459	95
0	7	36
0	12	36
1	66	32
2	720	32
0	9413	28
0	176	438
1	599	398
2	2851	352
0	8943	327
0	537	2167
1	1683	1849
2	7131	1817
0	8209	1742
0	38	274
0	69	246
1	332	215
2	3255	215
0	8713	212
0	46	202
0	67	184
1	334	170
2	3265	131
0	9775	131

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
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 667 to 218 computations (67.3% saved)

preprocess50.0ms (1%)

Memory: 5.9MiB live, 36.1MiB allocated
Remove: (abs x)
Compiler: Compiled 856 to 182 computations (78.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample870.0ms (17%)

explain111.0ms (2.2%)

preprocess66.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify23.0ms (0.4%)

localize19.0ms (0.4%)

series4.0ms (0.1%)

simplify123.0ms (2.4%)

rewrite120.0ms (2.3%)

eval41.0ms (0.8%)

prune9.0ms (0.2%)

simplify114.0ms (2.2%)

localize97.0ms (1.9%)

series34.0ms (0.7%)

simplify110.0ms (2.2%)

rewrite228.0ms (4.5%)

eval131.0ms (2.6%)

prune37.0ms (0.7%)

simplify189.0ms (3.7%)

localize85.0ms (1.7%)

series17.0ms (0.3%)

simplify103.0ms (2%)

rewrite130.0ms (2.5%)

eval52.0ms (1%)

prune41.0ms (0.8%)

simplify115.0ms (2.2%)

localize53.0ms (1%)

series6.0ms (0.1%)

simplify86.0ms (1.7%)

rewrite124.0ms (2.4%)

eval34.0ms (0.7%)

prune11.0ms (0.2%)

regimes43.0ms (0.8%)

regimes21.0ms (0.4%)

regimes33.0ms (0.6%)

regimes17.0ms (0.3%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes12.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch11.0ms (0.2%)

bsearch1.0ms (0%)

bsearch12.0ms (0.2%)

bsearch4.0ms (0.1%)

bsearch11.0ms (0.2%)

simplify64.0ms (1.3%)

soundness1.6s (32%)

preprocess50.0ms (1%)

end0.0ms (0%)

Profiling