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

0.3MiB live, 0.3MiB 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)

sample1.1s (14.8%)

Memory

-21.2MiB live, 1 308.3MiB allocated

Samples

834.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 437.0ms

ival-mult: 278.0ms (63.7% of total)

ival-add: 150.0ms (34.4% of total)

ival-true: 5.0ms (1.1% of total)

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

Bogosity

explain121.0ms (1.6%)

Memory

30.3MiB live, 170.3MiB 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

51.0ms

512×

valid

Compiler

Compiled 101 to 25 computations (75.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 31.0ms (81.6% of total)

ival-add: 6.0ms (15.8% of total)

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

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

preprocess75.0ms (1%)

Memory

-25.4MiB live, 64.5MiB 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

simplify27.0ms (0.3%)

Memory

2.1MiB live, 45.0MiB 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

localize35.0ms (0.4%)

Memory

7.7MiB live, 52.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(*.f64 x x)
accuracy	0.0078125	(+.f64 (.f64 x x) (.f64 y y))
accuracy	0.05859375	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))

Samples

29.0ms

256×

valid

Compiler

Compiled 43 to 9 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-add: 3.0ms (46.9% of total)

ival-mult: 3.0ms (46.9% of total)

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

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

series5.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated

Counts

5 → 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)
(*.f64 y y)

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) (* y y))
1.0ms	x	@	0	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (* x x) (* y y))
1.0ms	y	@	0	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (* x x) (* y y))
1.0ms	y	@	inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (* x x) (* y y))
1.0ms	y	@	-inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (* x x) (* y y))

simplify191.0ms (2.4%)

Memory

-13.2MiB live, 241.2MiB 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))

rewrite127.0ms (1.6%)

Memory

10.4MiB live, 239.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	39
0	12	39
1	66	35
2	720	35
0	9413	31

Stop Event

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

Counts

5 → 422

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)
(*.f64 y y)

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))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 (neg.f64 y)) y)
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y (neg.f64 (neg.f64 y)))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(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))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(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))))

eval52.0ms (0.7%)

Memory: 22.7MiB live, 113.9MiB allocated
Compiler: Compiled 12 610 to 1 332 computations (89.4% saved)

prune50.0ms (0.6%)

Memory

-29.5MiB live, 26.8MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	462	5	467
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	463	5	468

Accuracy

100.0%

Counts

468 → 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)))
▶	100.0%	(fma.f64 x x (fma.f64 y y (.f64 #s(literal 2 binary64) (.f64 y y))))
▶	54.8%	(+.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)))
▶	57.4%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))

Compiler

Compiled 202 to 104 computations (48.5% saved)

simplify144.0ms (1.8%)

Memory

45.1MiB live, 171.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
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	(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)))
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 y y)
cost-diff	0	(.f64 #s(literal 2 binary64) (.f64 y y))
cost-diff	0	(fma.f64 x x (fma.f64 y y (.f64 #s(literal 2 binary64) (.f64 y y))))
cost-diff	3	(fma.f64 y y (.f64 #s(literal 2 binary64) (.f64 y y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	269
0	61	244
1	123	244
2	356	244
3	1257	241
4	3177	235
5	5464	214
6	7336	214
0	8153	212

Stop Event

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

Calls

Call 1

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

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

localize195.0ms (2.5%)

Memory

-22.2MiB live, 284.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	1.249986238027801	(fma.f64 (neg.f64 x) x (*.f64 y y))
accuracy	15.821665676774073	(/.f64 (*.f64 x x) (-.f64 x y))
accuracy	15.821678532931994	(/.f64 (*.f64 x x) (+.f64 x y))
accuracy	27.637433843061352	(/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.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	0.03125	(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
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	0.05078125	(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
accuracy	0.0	(*.f64 y y)
accuracy	0.1171875	(.f64 #s(literal 3 binary64) (.f64 y y))
accuracy	27.22906423467099	#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	0.00390625	(.f64 #s(literal 2 binary64) (.f64 y y))
accuracy	0.0078125	(fma.f64 x x (fma.f64 y y (.f64 #s(literal 2 binary64) (.f64 y y))))
accuracy	0.04296875	(fma.f64 y y (.f64 #s(literal 2 binary64) (.f64 y y)))

Samples

167.0ms

256×

valid

Compiler

Compiled 271 to 36 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-mult: 51.0ms (50.1% of total)

ival-add: 29.0ms (28.5% of total)

ival-div: 9.0ms (8.8% of total)

ival-pow: 7.0ms (6.9% of total)

ival-sub: 2.0ms (2% of total)

ival-neg: 2.0ms (2% of total)

exact: 1.0ms (1% of total)

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

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

series60.0ms (0.8%)

Memory

-2.4MiB live, 41.9MiB allocated

Counts

20 → 103

Calls

Call 1

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

Outputs
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(* 3 (pow y 2))
(+ (* 3 (pow y 2)) (pow x 2))
(pow x 2)
(pow y 2)
(+ (pow x 2) (pow y 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)))
(+ (* (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))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 3 (/ (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 (* -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))))
(* -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) (+ 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)))
(* 3 y)
(* 2 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)))
(* (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)))))))
(* (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) (- (+ 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) (- (+ 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
41.0ms	x	@	inf	((+ (* y y) (* 2 (* y y))) (+ (* x x) (+ (* y y) (* 2 (* y y)))) (* 2 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (* x x) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (+ (* (/ (* 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)) (/ (pow y 4) (+ (* (neg x) x) (* y y))) (/ (* x x) (- x y)) (+ (* (neg x) x) (* y y)))
4.0ms	y	@	inf	((+ (* y y) (* 2 (* y y))) (+ (* x x) (+ (* y y) (* 2 (* y y)))) (* 2 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (* x x) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (+ (* (/ (* 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)) (/ (pow y 4) (+ (* (neg x) x) (* y y))) (/ (* x x) (- x y)) (+ (* (neg x) x) (* y y)))
4.0ms	y	@	0	((+ (* y y) (* 2 (* y y))) (+ (* x x) (+ (* y y) (* 2 (* y y)))) (* 2 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (* x x) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (+ (* (/ (* 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)) (/ (pow y 4) (+ (* (neg x) x) (* y y))) (/ (* x x) (- x y)) (+ (* (neg x) x) (* y y)))
4.0ms	x	@	0	((+ (* y y) (* 2 (* y y))) (+ (* x x) (+ (* y y) (* 2 (* y y)))) (* 2 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (* x x) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (+ (* (/ (* 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)) (/ (pow y 4) (+ (* (neg x) x) (* y y))) (/ (* x x) (- x y)) (+ (* (neg x) x) (* y y)))
3.0ms	y	@	-inf	((+ (* y y) (* 2 (* y y))) (+ (* x x) (+ (* y y) (* 2 (* y y)))) (* 2 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (* x x) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (+ (* (/ (* 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)) (/ (pow y 4) (+ (* (neg x) x) (* y y))) (/ (* x x) (- x y)) (+ (* (neg x) x) (* y y)))

simplify134.0ms (1.7%)

Memory

0.2MiB live, 183.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	492	1877
1	1543	1683
2	6579	1636
0	8340	1551

Stop Event

1×	iter limit
1×	node limit

Counts

103 → 102

Calls

Call 1

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

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))
(* 3 (pow y 2))
(.f64 #s(literal 3 binary64) (.f64 y y))
(+ (* 3 (pow y 2)) (pow x 2))
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(pow x 2)
(*.f64 x x)
(pow y 2)
(*.f64 y y)
(+ (pow x 2) (pow y 2))
(fma.f64 x x (*.f64 y y))
(* 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)))
(/.f64 (fma.f64 x x (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y)) y)
(* (pow x 2) (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
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(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
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(+ (* (pow x 2) (+ 1 (/ (pow x 2) (pow y 2)))) (pow y 2))
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(+ (* (pow x 2) (+ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow x 2) (pow y 4)))))) (pow y 2))
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(+ (* -1 (pow x 2)) (pow y 2))
(*.f64 (+.f64 x y) (-.f64 y x))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(.f64 (.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y x) y) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(.f64 (.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y x) y) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(.f64 (fma.f64 (/.f64 (/.f64 y x) x) y #s(literal 1 binary64)) (.f64 x x))
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(*.f64 x x)
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(.f64 (fma.f64 (/.f64 (/.f64 y x) x) y #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)))) (+ (* -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 y x) x) y #s(literal 1 binary64)) (.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 (.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y x) y) #s(literal 1 binary64)) 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 (.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y x) y) #s(literal 1 binary64)) x) 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))))))
(.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (.f64 (/.f64 y x) y) #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))) (/ (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 #s(literal 2 binary64) x) (.f64 (/.f64 y x) y) #s(literal 1 binary64)) (*.f64 x x))
x
(* x (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
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(.f64 (+.f64 (/.f64 (-.f64 (.f64 (/.f64 y x) y) y) x) #s(literal 1 binary64)) x)
(* x (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))
(.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y)) x)
(* -1 (/ (pow y 4) (pow x 2)))
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(/ (+ (* -1 (/ (pow y 6) (pow x 2))) (* -1 (pow y 4))) (pow x 2))
(/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (neg.f64 x) x)) (pow.f64 y #s(literal 4 binary64))) (.f64 x x))
(/ (- (+ (* -1 (/ (pow y 8) (pow x 4))) (* -1 (pow y 4))) (/ (pow y 6) (pow x 2))) (pow x 2))
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(/ (- (+ (* -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))
(/.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 10 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) x) x))) (*.f64 x x))
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(* x (- (+ 1 (/ (pow y 2) (pow x 2))) (* -1 (/ y x))))
(*.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))
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(.f64 (fma.f64 (/.f64 (/.f64 y x) x) y #s(literal 1 binary64)) (.f64 x x))
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(.f64 (fma.f64 (/.f64 (/.f64 y x) x) y #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 (.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y 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)) (+ (* 2 (pow y 2)) (+ (pow y 2) (pow (+ y (* -1 y)) 2)))) x)))) x))))
(.f64 (.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y x) y) #s(literal 1 binary64)) x) x)
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(.f64 (fma.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 (/ (+ (* -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 (fma.f64 (/.f64 #s(literal 2 binary64) x) (.f64 (/.f64 y x) y) #s(literal 1 binary64)) (*.f64 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)))
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(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
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(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* 2 y)
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(+ (* -1 (* y (+ x (* -1 x)))) (pow x 2))
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(+ (* 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))
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(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))
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(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 x x))
(+ x (* -1 y))
(-.f64 x y)
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(+ x y)
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(.f64 (.f64 (fma.f64 x (/.f64 x (*.f64 y 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 (fma.f64 (/.f64 x y) (/.f64 x y) (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 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) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 x y) (/.f64 x y) (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 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) (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)) #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 (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 x y) (/.f64 x y) (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)) #s(literal 3 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 (fma.f64 (/.f64 x y) (/.f64 x y) (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) (.f64 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) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 x y) (/.f64 x y) (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 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) (- (+ 1 (/ (pow x 4) (pow y 4))) (* -1 (/ (pow x 2) (pow y 2)))))
(.f64 (+.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #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 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1 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 (pow.f64 x #s(literal 4 binary64)) (neg.f64 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 (fma.f64 (neg.f64 x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) y) y)
(* (pow y 2) (- (+ 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) (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 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 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64)))) y)) (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 (fma.f64 (/.f64 x y) (/.f64 x y) (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)) #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)))))
(.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 #s(literal 3 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64)))) y)) (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 (fma.f64 (/.f64 x y) (/.f64 x y) (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) (.f64 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 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64)))) y)) (pow.f64 y #s(literal 5 binary64))))) (.f64 y y))
(* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))
(/.f64 (fma.f64 x x (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y)) y)
(* -1 (/ (+ (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (* -1 (pow x 2))) y))
(/.f64 (-.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y))) y)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) y) (pow x 4)) y)) (pow x 3)) y)) (* -1 (pow x 2))) y))
(/.f64 (-.f64 (*.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))) 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 (pow.f64 x #s(literal 4 binary64)) (neg.f64 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))

rewrite277.0ms (3.6%)

Memory

5.5MiB live, 429.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	233
0	61	166
1	299	159
2	2935	139
0	8879	138

Stop Event

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

Counts

20 → 2 136

Calls

Call 1

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

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

eval248.0ms (3.2%)

Memory: -13.0MiB live, 368.9MiB allocated
Compiler: Compiled 28 204 to 3 665 computations (87% saved)

prune43.0ms (0.6%)

Memory

20.5MiB live, 78.4MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	1 160	5	1 165
Fresh	0	0	0
Picked	4	1	5
Done	0	0	0
Total	1 164	6	1 170

Accuracy

100.0%

Counts

1 170 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.3%	(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (.f64 (fma.f64 (/.f64 (/.f64 y x) x) y #s(literal 1 binary64)) (.f64 x x))))
▶	57.4%	(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
▶	69.1%	(fma.f64 x x (fma.f64 y y (+.f64 y y)))
▶	99.9%	(fma.f64 x x (.f64 (.f64 #s(literal 3 binary64) y) y))
▶	91.0%	#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 #s(literal 3 binary64) x) (*.f64 (/.f64 y x) y) #s(literal 1 binary64)) x) x))
✓	57.4%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))

Compiler

Compiled 239 to 133 computations (44.4% saved)

simplify171.0ms (2.2%)

Memory

19.8MiB live, 149.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	257
0	66	255
1	137	252
2	426	252
3	1676	250
4	5661	244
0	8163	239

Stop Event

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

Calls

Call 1

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

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

localize143.0ms (1.8%)

Memory

-12.9MiB live, 177.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.03125	(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (.f64 (fma.f64 (/.f64 (/.f64 y x) x) y #s(literal 1 binary64)) (.f64 x x))))
accuracy	0.140625	(/.f64 (/.f64 y x) x)
accuracy	3.093640454093549	(fma.f64 (/.f64 (/.f64 y x) x) y #s(literal 1 binary64))
accuracy	9.917034019415158	(.f64 (fma.f64 (/.f64 (/.f64 y x) x) y #s(literal 1 binary64)) (.f64 x x))
accuracy	0.17578125	(*.f64 (/.f64 y x) y)
accuracy	1.9340297805180204	(fma.f64 (/.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y x) y) #s(literal 1 binary64))
accuracy	2.8351050665619497	(.f64 (.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y x) y) #s(literal 1 binary64)) x) x)
accuracy	2.8576957974592183	(.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x) (.f64 (/.f64 y x) y) #s(literal 1 binary64)) x)
accuracy	0.0	(fma.f64 y y (+.f64 y y))
accuracy	0.0	(fma.f64 x x (fma.f64 y y (+.f64 y y)))
accuracy	0.0	(+.f64 y y)
accuracy	0.0	(+.f64 y y)
accuracy	0.0	(*.f64 y y)
accuracy	0.03125	(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
accuracy	27.235424747773518	#s(approx (+ (* y y) (* x x)) (*.f64 y y))
accuracy	0.0	(*.f64 #s(literal 3 binary64) y)
accuracy	0.0078125	(fma.f64 x x (.f64 (.f64 #s(literal 3 binary64) y) y))
accuracy	0.1171875	(.f64 (.f64 #s(literal 3 binary64) y) y)

Samples

123.0ms

256×

valid

Compiler

Compiled 221 to 42 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-add: 66.0ms (62.4% of total)

ival-mult: 19.0ms (18% of total)

ival-div: 10.0ms (9.5% of total)

ival-neg: 6.0ms (5.7% of total)

ival-pow: 3.0ms (2.8% of total)

ival-sub: 1.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series78.0ms (1%)

Memory

-51.4MiB live, 29.7MiB allocated

Counts

19 → 53

Calls

Call 1

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

Outputs
(* 3 (pow y 2))
(+ (* 3 (pow y 2)) (pow x 2))
(+ (* 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))
(+ (* 2 y) (pow y 2))
(+ (* 2 y) (+ (pow x 2) (pow y 2)))
(* 3 (/ (pow y 2) x))
(/ (+ (* 3 (pow y 2)) (pow x 2)) x)
(* 3 (/ (pow y 2) (pow x 2)))
(/ (+ (* 3 (pow y 2)) (pow x 2)) (pow x 2))
(/ (pow y 2) x)
(/ (pow y 2) (pow x 2))
(/ (+ (pow x 2) (pow y 2)) (pow x 2))
(/ y (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 3 (/ (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 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (+ (* 2 (/ y (pow x 2))) (/ (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))))))
x
(* x (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
1
(+ 1 (* 3 (/ (pow y 2) (pow x 2))))
(+ 1 (/ (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 (* x (- (* -3 (/ (pow y 2) (pow x 2))) 1)))
(* 3 y)
(* 2 y)
(* y (+ 2 y))
(+ (* 2 y) (pow x 2))
(+ (* y (+ 2 y)) (pow x 2))
(+ (* -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))
(+ x (* 3 (/ (pow y 2) x)))
(* (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) (+ 1 (+ (* 2 (/ 1 y)) (/ (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) (+ (* 3 (/ 1 x)) (/ x (pow y 2))))
(* (pow y 2) (+ (* 3 (/ 1 (pow x 2))) (/ 1 (pow y 2))))
(* (pow y 2) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) 2) 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
59.0ms	y	@	0	((+ (* x x) (* (* 3 y) y)) (* (* 3 y) y) (* 3 y) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* y y) (+ (* y y) (+ y y)) (+ (* x x) (+ (* y y) (+ 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) x) (+ (* (/ 3 x) (* (/ y x) y)) 1) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* (+ (* (/ (/ y x) x) y) 1) (* x x)) (* (/ y x) y) (+ (* (/ (/ y x) x) y) 1) (/ (/ y x) x))
4.0ms	x	@	-inf	((+ (* x x) (* (* 3 y) y)) (* (* 3 y) y) (* 3 y) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* y y) (+ (* y y) (+ y y)) (+ (* x x) (+ (* y y) (+ 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) x) (+ (* (/ 3 x) (* (/ y x) y)) 1) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* (+ (* (/ (/ y x) x) y) 1) (* x x)) (* (/ y x) y) (+ (* (/ (/ y x) x) y) 1) (/ (/ y x) x))
4.0ms	y	@	inf	((+ (* x x) (* (* 3 y) y)) (* (* 3 y) y) (* 3 y) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* y y) (+ (* y y) (+ y y)) (+ (* x x) (+ (* y y) (+ 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) x) (+ (* (/ 3 x) (* (/ y x) y)) 1) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* (+ (* (/ (/ y x) x) y) 1) (* x x)) (* (/ y x) y) (+ (* (/ (/ y x) x) y) 1) (/ (/ y x) x))
3.0ms	y	@	-inf	((+ (* x x) (* (* 3 y) y)) (* (* 3 y) y) (* 3 y) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* y y) (+ (* y y) (+ y y)) (+ (* x x) (+ (* y y) (+ 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) x) (+ (* (/ 3 x) (* (/ y x) y)) 1) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* (+ (* (/ (/ y x) x) y) 1) (* x x)) (* (/ y x) y) (+ (* (/ (/ y x) x) y) 1) (/ (/ y x) x))
3.0ms	x	@	0	((+ (* x x) (* (* 3 y) y)) (* (* 3 y) y) (* 3 y) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* y y) (+ (* y y) (+ y y)) (+ (* x x) (+ (* y y) (+ 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) x) (+ (* (/ 3 x) (* (/ y x) y)) 1) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* (+ (* (/ (/ y x) x) y) 1) (* x x)) (* (/ y x) y) (+ (* (/ (/ y x) x) y) 1) (/ (/ y x) x))

simplify282.0ms (3.6%)

Memory

38.9MiB live, 224.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	197	831
1	670	656
2	3104	636
0	8216	590

Stop Event

1×	iter limit
1×	node limit

Counts

53 → 52

Calls

Call 1

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

rewrite339.0ms (4.4%)

Memory

11.0MiB live, 331.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	226
0	66	224
1	311	213
2	3143	205
0	8298	194

Stop Event

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

Counts

19 → 1 025

Calls

Call 1

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

Outputs
(/.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 (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) y) (.f64 x x))))
(/.f64 (neg.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 (neg.f64 (fma.f64 x x (.f64 #s(literal -3 binary64) (*.f64 y y))))))
(/.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 (.f64 (.f64 y #s(literal 3 binary64)) y) (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.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 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) y) (.f64 x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.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 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (fma.f64 x x (.f64 #s(literal -3 binary64) (*.f64 y y)))))
(/.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 (.f64 (.f64 x x) #s(literal 3 binary64)) (.f64 y y))))))
(/.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 (.f64 (.f64 y #s(literal 3 binary64)) y) (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 x x (.f64 #s(literal -3 binary64) (*.f64 y y))))
(/.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 (.f64 (.f64 x x) #s(literal 3 binary64)) (.f64 y y)))))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 (.f64 y #s(literal 3 binary64)) y) (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (.f64 (neg.f64 (.f64 #s(literal -3 binary64) y)) y))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (.f64 (.f64 y #s(literal 3 binary64)) y))
(fma.f64 (fabs.f64 (.f64 #s(literal -3 binary64) y)) y (.f64 x x))
(fma.f64 (fabs.f64 (.f64 y #s(literal 3 binary64))) y (.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (neg.f64 (.f64 #s(literal -3 binary64) y)) y))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (.f64 y #s(literal 3 binary64)) y))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (.f64 (neg.f64 (.f64 #s(literal -3 binary64) y)) y))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (.f64 (.f64 y #s(literal 3 binary64)) y))
(fma.f64 (.f64 #s(literal -3 binary64) y) (neg.f64 y) (.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (neg.f64 (.f64 #s(literal -3 binary64) y)) y))
(fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (.f64 y #s(literal 3 binary64)) y))
(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
(fma.f64 (.f64 y #s(literal 3 binary64)) y (.f64 x x))
(fma.f64 y (fabs.f64 (.f64 y #s(literal 3 binary64))) (.f64 x x))
(fma.f64 y (.f64 y #s(literal 3 binary64)) (.f64 x x))
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
(fma.f64 x x (.f64 (neg.f64 (.f64 #s(literal -3 binary64) y)) y))
(fma.f64 x x (.f64 (.f64 y #s(literal 3 binary64)) y))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (.f64 #s(literal -3 binary64) (.f64 y y)))) (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 x x (.f64 #s(literal -3 binary64) (*.f64 y y)))))
(-.f64 (.f64 x x) (.f64 (neg.f64 y) (*.f64 y #s(literal 3 binary64))))
(-.f64 (.f64 x x) (.f64 #s(literal -3 binary64) (*.f64 y y)))
(-.f64 (.f64 x x) (.f64 (*.f64 #s(literal -3 binary64) y) y))
(-.f64 (.f64 (.f64 y #s(literal 3 binary64)) y) (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 y #s(literal 3 binary64)) y) (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) y) (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (.f64 (.f64 y #s(literal 3 binary64)) y) (-.f64 (.f64 (.f64 y #s(literal 3 binary64)) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (.f64 x x) (.f64 (neg.f64 (*.f64 #s(literal -3 binary64) y)) y))
(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 3 binary64)) y))
(+.f64 (.f64 (.f64 y #s(literal 3 binary64)) y) (*.f64 x x))
(.f64 (fabs.f64 (.f64 #s(literal -3 binary64) y)) y)
(.f64 (fabs.f64 (.f64 y #s(literal 3 binary64))) y)
(.f64 (.f64 #s(literal -3 binary64) y) (neg.f64 y))
(.f64 (.f64 y y) #s(literal 3 binary64))
(.f64 (.f64 y #s(literal 3 binary64)) y)
(.f64 y (fabs.f64 (.f64 y #s(literal 3 binary64))))
(.f64 y (.f64 y #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 y y))
(sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))))
(fabs.f64 (.f64 (.f64 #s(literal -3 binary64) y) y))
(fabs.f64 (.f64 (.f64 y #s(literal 3 binary64)) y))
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) y))) (neg.f64 (-.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) y) (pow.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) y (pow.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (-.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) y)) (-.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y)))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) y) (pow.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) y (pow.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) y (pow.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (-.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 2 binary64) y))))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) y) (pow.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))))
(/.f64 (fma.f64 #s(literal 2 binary64) y (pow.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y)))))
(/.f64 (fma.f64 #s(literal 2 binary64) y (pow.f64 #s(approx (+ (* y y) (* x x)) (.f64 y y)) #s(literal 3 binary64))) (fma.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (-.f64 #s(approx (+ ( y y) (* x x)) (.f64 y y)) (.f64 #s(literal 2 binary64) y)) (*.f64 #s(literal 2 binary64) y)))
(fma.f64 (neg.f64 (neg.f64 (.f64 #s(literal 2 binary64) y))) (neg.f64 (neg.f64 (.f64 #s(literal 2 binary64) y))) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))) (fma.f64 y y #s(approx (+ (* y y) (* x x)) (*.f64 y y))))
(fma.f64 (fabs.f64 (.f64 (.f64 y y) #s(literal 2 binary64))) y #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 (fabs.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) y #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 (fabs.f64 (fma.f64 y y #s(literal 0 binary64))) (.f64 #s(literal 2 binary64) y) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(fma.f64 (pow.f64 (.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 y y) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(fma.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 y y) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 (pow.f64 (.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 #s(literal 512 binary64) (pow.f64 y #s(literal 9 binary64)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 (pow.f64 (.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(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 3/2 binary64)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(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)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 (pow.f64 #s(literal 8 binary64) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 3/2 binary64)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 3/2 binary64)) (.f64 #s(literal 2 binary64) y) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3/2 binary64)) (pow.f64 (.f64 (neg.f64 y) (.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3/2 binary64)) (pow.f64 (+.f64 (neg.f64 y) (neg.f64 y)) #s(literal 3/2 binary64)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 3/2 binary64)) (.f64 #s(literal 2 binary64) y) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 3/2 binary64)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (.f64 #s(literal 2 binary64) y) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(fma.f64 (.f64 (.f64 y y) #s(literal 2 binary64)) y #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) y #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (.f64 #s(literal 2 binary64) y) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(fma.f64 (pow.f64 y #s(literal 9 binary64)) (.f64 #s(literal 2 binary64) y) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(fma.f64 (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) y) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(fma.f64 (neg.f64 (.f64 #s(literal 2 binary64) y)) (neg.f64 (.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (fma.f64 y y #s(approx (+ (* y y) (* x x)) (*.f64 y y))))
(fma.f64 (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 3 binary64)) (.f64 #s(literal 2 binary64) y) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 9 binary64)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 #s(literal 8 binary64) (.f64 #s(literal 2 binary64) y) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) y) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 #s(literal 2 binary64) y) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) y) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 y) (.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 (neg.f64 y) (neg.f64 y)) #s(literal 3 binary64)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal 2 binary64) y) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(fma.f64 (neg.f64 y) (.f64 (neg.f64 y) (.f64 #s(literal 2 binary64) y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 (neg.f64 y) (+.f64 (neg.f64 y) (neg.f64 y)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 (neg.f64 y) (neg.f64 y) (fma.f64 y y #s(approx (+ (* y y) (* x x)) (*.f64 y y))))
(fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) (.f64 y y) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) y) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(fma.f64 #s(literal 2 binary64) y #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 6 binary64)) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 #s(literal 4 binary64) (.f64 y y) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(fma.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) y) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(fma.f64 (.f64 y y) (pow.f64 (+.f64 (neg.f64 y) (neg.f64 y)) #s(literal 2 binary64)) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(fma.f64 (.f64 y y) #s(literal 4 binary64) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(fma.f64 (.f64 y y) (.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 (.f64 #s(literal 2 binary64) y) (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 3/2 binary64)) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(fma.f64 (.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 3/2 binary64)) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(fma.f64 (.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 9 binary64)) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(fma.f64 (.f64 #s(literal 2 binary64) y) (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 3 binary64)) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
(fma.f64 (.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 4 binary64)) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
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(fma.f64 #s(literal 2 binary64) y #s(approx (+ (* y y) (* x x)) (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x))))
(fma.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)) #s(approx (+ (* y y) (* x x)) (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x))))
(fma.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 6 binary64)) #s(approx (+ (* y y) (* x x)) (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x))))
(fma.f64 #s(literal 4 binary64) (.f64 y y) #s(approx (+ ( y y) (* x x)) (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x))))
(fma.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) y) #s(approx (+ ( y y) (* x x)) (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x))))
(fma.f64 (.f64 y y) (pow.f64 (+.f64 (neg.f64 y) (neg.f64 y)) #s(literal 2 binary64)) #s(approx (+ ( y y) (* x x)) (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x))))
(fma.f64 (.f64 y y) #s(literal 4 binary64) #s(approx (+ ( y y) (* x x)) (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x))))
(fma.f64 (.f64 y y) (.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x))))
(fma.f64 (.f64 #s(literal 2 binary64) y) (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 3/2 binary64)) #s(approx (+ ( y y) (* x x)) (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x))))
(fma.f64 (.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 3/2 binary64)) #s(approx (+ ( y y) (* x x)) (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x))))
(fma.f64 (.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 9 binary64)) #s(approx (+ ( y y) (* x x)) (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x))))
(fma.f64 (.f64 #s(literal 2 binary64) y) (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 3 binary64)) #s(approx (+ ( y y) (* x x)) (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x))))
(fma.f64 (.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 4 binary64)) #s(approx (+ ( y y) (* x x)) (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x))))
(fma.f64 (.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 6 binary64)) #s(approx (+ ( y y) (* x x)) (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x))))
(fma.f64 (.f64 #s(literal 2 binary64) y) (fma.f64 y y #s(literal 0 binary64)) #s(approx (+ ( y y) (* x x)) (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x))))
(fma.f64 (.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 3 binary64)) #s(approx (+ ( y y) (* x x)) (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x))))
(fma.f64 (.f64 #s(literal 2 binary64) y) (.f64 y y) #s(approx (+ (* y y) (* x x)) (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x))))
(fma.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x))))
(fma.f64 (.f64 #s(literal 2 binary64) y) y #s(approx (+ ( y y) (* x x)) (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x))))
(fma.f64 y (fabs.f64 (.f64 (neg.f64 y) (.f64 #s(literal 2 binary64) y))) #s(approx (+ (* y y) (* x x)) (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x))))
(fma.f64 y (fabs.f64 (+.f64 (neg.f64 y) (neg.f64 y))) #s(approx (+ (* y y) (* x x)) (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x))))
(fma.f64 y #s(literal 2 binary64) #s(approx (+ (* y y) (* x x)) (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x))))
(fma.f64 y (.f64 #s(literal 2 binary64) y) #s(approx (+ ( y y) (* x x)) (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x))))
(fma.f64 y y (fma.f64 y y #s(approx (+ (* y y) (* x x)) (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x)))))
(-.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (-.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ (* y y) (* x x)) (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x))))) (/.f64 (pow.f64 #s(approx (+ (* y y) (* x x)) (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x))) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ ( y y) (* x x)) (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x))))))
(-.f64 #s(approx (+ (* y y) (* x x)) (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x))) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) y)) y))
(-.f64 #s(approx (+ (* y y) (* x x)) (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x))) (.f64 (neg.f64 y) (.f64 #s(literal 2 binary64) y)))
(+.f64 (+.f64 #s(approx (+ (* y y) (* x x)) (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x))) (.f64 y y)) (.f64 y y))
(+.f64 (/.f64 (.f64 #s(literal 2 binary64) y) (fma.f64 #s(literal 2 binary64) y (.f64 #s(approx (+ (* y y) (* x x)) (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x))) (-.f64 #s(approx (+ (* y y) (* x x)) (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x))) (.f64 #s(literal 2 binary64) y))))) (/.f64 (pow.f64 #s(approx (+ ( y y) (* x x)) (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x))) #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) y (.f64 #s(approx (+ ( y y) (* x x)) (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x))) (-.f64 #s(approx (+ (* y y) (* x x)) (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x))) (*.f64 #s(literal 2 binary64) y))))))
(+.f64 #s(approx (+ (* y y) (* x x)) (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x))) (*.f64 #s(literal 2 binary64) y))
(+.f64 (.f64 y y) (fma.f64 y y #s(approx (+ ( y y) (* x x)) (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x)))))
(+.f64 (.f64 #s(literal 2 binary64) y) #s(approx (+ ( y y) (* x x)) (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x))))
#s(approx (+ (* y y) (* x x)) (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x)))
(.f64 (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) x)
(.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 x x) (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 x (.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) x))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x))) (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 x x))) (neg.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x x)) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 x x)) (-.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 x x) (-.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 x x) (+.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (.f64 x x) (.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 x x)))
(fma.f64 (.f64 x x) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (.f64 (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (*.f64 x x) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (.f64 x x)) (.f64 #s(literal 1 binary64) (.f64 x x)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (.f64 (.f64 x x) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(*.f64 (neg.f64 y) (/.f64 (neg.f64 y) x))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 x))
(/.f64 (*.f64 y y) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 y y) x)
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(fma.f64 (fabs.f64 (/.f64 y x)) (fabs.f64 (/.f64 y x)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (/.f64 (/.f64 y x) x)) (fabs.f64 (*.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (/.f64 (/.f64 y x) x)) y #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 y x) x) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 y x) x) y #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64))
(fma.f64 y (fabs.f64 (*.f64 (/.f64 (/.f64 y x) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 y (fabs.f64 (/.f64 (/.f64 y x) x)) #s(literal 1 binary64))
(fma.f64 y (*.f64 (/.f64 (/.f64 y x) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (/.f64 (/.f64 y x) x) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 (/.f64 y x) x)) y))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (/.f64 (/.f64 y x) x)))
(+.f64 (/.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (pow.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(+.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 y)) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 y) x) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (/.f64 (neg.f64 y) x) (neg.f64 x))
(/.f64 (neg.f64 y) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 y x) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 y x) x)
(/.f64 y (*.f64 x x))
(neg.f64 (/.f64 (/.f64 (neg.f64 y) x) x))

eval460.0ms (5.9%)

Memory: -28.2MiB live, 594.5MiB allocated
Compiler: Compiled 47 401 to 3 858 computations (91.9% saved)

prune34.0ms (0.4%)

Memory

3.1MiB live, 136.1MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	1 890	3	1 893
Fresh	0	0	0
Picked	2	3	5
Done	0	1	1
Total	1 892	7	1 899

Accuracy

100.0%

Counts

1 899 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	80.3%	(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (.f64 (fma.f64 (/.f64 (/.f64 y x) x) y #s(literal 1 binary64)) (.f64 x x))))
✓	57.4%	(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
✓	99.9%	(fma.f64 x x (.f64 (.f64 #s(literal 3 binary64) y) y))
▶	53.0%	#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (.f64 #s(approx ( (+ (* (/ 3 x) (* (/ y x) y)) 1) x) (.f64 (/.f64 (.f64 y y) x) #s(literal 3 binary64))) x))
✓	57.4%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
▶	30.5%	#s(approx (+ (* x x) (+ (* y y) (+ y y))) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
▶	57.6%	#s(approx (+ (* x x) (* (* 3 y) y)) (*.f64 x x))

Compiler

Compiled 160 to 93 computations (41.9% saved)

simplify170.0ms (2.2%)

Memory

-7.2MiB live, 258.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	166
0	51	166
1	114	161
2	350	161
3	1392	159
4	5078	141
5	7929	138
0	8298	132

Stop Event

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

Calls

Call 1

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

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

localize104.0ms (1.3%)

Memory

-2.0MiB live, 132.4MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.1796875	(.f64 (/.f64 (.f64 y y) x) #s(literal 3 binary64))
accuracy	2.8351050665619497	(.f64 #s(approx ( (+ (* (/ 3 x) (* (/ y x) y)) 1) x) (.f64 (/.f64 (.f64 y y) x) #s(literal 3 binary64))) x)
accuracy	8.166241212058422	(/.f64 (*.f64 y y) x)
accuracy	30.320677887438062	#s(approx (* (+ (* (/ 3 x) (* (/ y x) y)) 1) x) (.f64 (/.f64 (.f64 y y) x) #s(literal 3 binary64)))
accuracy	0.0	(+.f64 #s(literal 2 binary64) y)
accuracy	0.0078125	(*.f64 (+.f64 #s(literal 2 binary64) y) y)
accuracy	24.70674955671358	#s(approx (+ (* x x) (+ (* y y) (+ y y))) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
accuracy	0.0	(*.f64 x x)
accuracy	27.1487514463115	#s(approx (+ (* x x) (* (* 3 y) y)) (*.f64 x x))

Samples

75.0ms

256×

valid

Compiler

Compiled 118 to 40 computations (66.1% saved)

Precisions

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

ival-mult: 17.0ms (36.3% of total)

ival-add: 12.0ms (25.7% of total)

ival-div: 9.0ms (19.2% of total)

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

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

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

exact: 1.0ms (2.1% of total)

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

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

series11.0ms (0.1%)

Memory

23.4MiB live, 23.4MiB allocated

Counts

10 → 42

Calls

Call 1

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

Outputs
(* 3 (pow y 2))
(+ (* 3 (pow y 2)) (pow x 2))
(pow x 2)
(+ (* 2 y) (pow y 2))
(+ (* 2 y) (+ (pow x 2) (pow y 2)))
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(* 3 (/ (pow y 2) x))
(/ (+ (* 3 (pow y 2)) (pow x 2)) x)
(/ (pow y 2) x)
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ y (pow x 2))) (/ (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))))))
x
(* x (+ 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))))
(* -1 (* x (- (* -3 (/ (pow y 2) (pow x 2))) 1)))
(+ (* 2 y) (pow x 2))
(+ (* y (+ 2 y)) (pow x 2))
(* 2 y)
(* y (+ 2 y))
2
(+ 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))
(+ x (* 3 (/ (pow y 2) x)))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ 1 y))))
(* (pow y 2) (+ 1 (+ (* 2 (/ 1 y)) (/ (pow x 2) (pow y 2)))))
y
(* y (+ 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 x)) (/ x (pow y 2))))
(* (pow y 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) 2) 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
2.0ms	y	@	inf	((+ (* x x) (* (* 3 y) y)) (* x x) (+ (* x x) (+ (* y y) (+ y y))) (* (+ 2 y) y) (+ 2 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) x) (* (/ (* y y) x) 3) (/ (* y y) x))
2.0ms	x	@	0	((+ (* x x) (* (* 3 y) y)) (* x x) (+ (* x x) (+ (* y y) (+ y y))) (* (+ 2 y) y) (+ 2 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) x) (* (/ (* y y) x) 3) (/ (* y y) x))
2.0ms	y	@	-inf	((+ (* x x) (* (* 3 y) y)) (* x x) (+ (* x x) (+ (* y y) (+ y y))) (* (+ 2 y) y) (+ 2 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) x) (* (/ (* y y) x) 3) (/ (* y y) x))
2.0ms	x	@	-inf	((+ (* x x) (* (* 3 y) y)) (* x x) (+ (* x x) (+ (* y y) (+ y y))) (* (+ 2 y) y) (+ 2 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) x) (* (/ (* y y) x) 3) (/ (* y y) x))
1.0ms	x	@	inf	((+ (* x x) (* (* 3 y) y)) (* x x) (+ (* x x) (+ (* y y) (+ y y))) (* (+ 2 y) y) (+ 2 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) x) (* (/ (* y y) x) 3) (/ (* y y) x))

simplify149.0ms (1.9%)

Memory

-15.7MiB live, 165.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	181	455
1	622	427
2	2964	367
0	9118	340

Stop Event

1×	iter limit
1×	node limit

Counts

42 → 40

Calls

Call 1

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

rewrite328.0ms (4.2%)

Memory

20.0MiB live, 213.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	157
0	51	157
1	259	148
2	2493	148
0	9177	142

Stop Event

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

Counts

10 → 113

Calls

Call 1

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

Outputs
#s(approx (+ (* x x) (* (* 3 y) y)) (*.f64 x x))
(*.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 x) (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))))
#s(approx (+ (* x x) (+ (* y y) (+ y y))) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
(*.f64 (+.f64 #s(literal 2 binary64) y) y)
(*.f64 y (+.f64 #s(literal 2 binary64) y))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (-.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 y #s(literal 4 binary64))) (.f64 (+.f64 (-.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) y))) (pow.f64 (+.f64 (-.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 y y)) y) (-.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) y) (fma.f64 y (-.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (.f64 y (-.f64 #s(literal 4 binary64) (.f64 y y))) (-.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 y (+.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (fma.f64 y y y) y))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) y) (pow.f64 y #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 2 binary64) y) (*.f64 y y)))
(/.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) (-.f64 (.f64 y y) (.f64 (fma.f64 y y y) y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) y))) (neg.f64 (.f64 y (-.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) y (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (-.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) y)) (.f64 y (-.f64 y #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 2 binary64) y (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 2 binary64) y (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 (fma.f64 #s(literal 2 binary64) y (pow.f64 y #s(literal 6 binary64))) (+.f64 (-.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))) (*.f64 #s(literal 2 binary64) y))
(fma.f64 (neg.f64 (neg.f64 (.f64 #s(literal 2 binary64) y))) (neg.f64 (neg.f64 (.f64 #s(literal 2 binary64) y))) (*.f64 y y))
(fma.f64 (fabs.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) y (*.f64 y y))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (neg.f64 y))) (fma.f64 y y y))
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) (fma.f64 y y y))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) (fma.f64 y y y))
(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 3/2 binary64)) (*.f64 y y))
(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 y y))
(fma.f64 (pow.f64 #s(literal 8 binary64) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 3/2 binary64)) (*.f64 y y))
(fma.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (*.f64 y y))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 y y)) #s(literal 3/2 binary64)) (*.f64 y y))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)) (*.f64 y y))
(fma.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 y y) (.f64 y y))
(fma.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)) (*.f64 y y))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) y (*.f64 y y))
(fma.f64 (+.f64 y #s(literal 1 binary64)) y y)
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (*.f64 y y))
(fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 y y))
(fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)) (*.f64 y y))
(fma.f64 #s(literal 512 binary64) (pow.f64 y #s(literal 9 binary64)) (*.f64 y y))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (*.f64 #s(literal 2 binary64) y))
(fma.f64 (neg.f64 (.f64 #s(literal 2 binary64) y)) (neg.f64 (.f64 #s(literal 2 binary64) y)) (*.f64 y y))
(fma.f64 #s(literal 8 binary64) (.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))) (.f64 y y))
(fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 y y))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 y y))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (.f64 y y))
(fma.f64 #s(literal 4 binary64) (.f64 y y) (.f64 y y))
(fma.f64 #s(literal 2 binary64) (fabs.f64 (.f64 #s(literal 2 binary64) (.f64 y y))) (*.f64 y y))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 y y)) (*.f64 y y))
(fma.f64 #s(literal 2 binary64) y (*.f64 y y))
(fma.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 2 binary64) y) (*.f64 y y))
(fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 y y))
(fma.f64 y #s(literal 2 binary64) (*.f64 y y))
(fma.f64 y y (*.f64 #s(literal 2 binary64) y))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 y (-.f64 y #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) y) (*.f64 y (-.f64 y #s(literal 2 binary64)))))
(-.f64 (.f64 #s(literal 2 binary64) y) (.f64 (neg.f64 y) y))
(-.f64 (.f64 y y) (.f64 #s(literal -2 binary64) y))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (-.f64 (.f64 #s(literal 2 binary64) y) (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) y) (+.f64 (-.f64 (.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (fma.f64 y y y) y)
(+.f64 (.f64 #s(literal 2 binary64) y) (.f64 y y))
(+.f64 (.f64 y y) (.f64 #s(literal 2 binary64) y))
(+.f64 y (fma.f64 y y y))
(/.f64 (fma.f64 #s(literal 8 binary64) (fma.f64 y (-.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)) (.f64 (fma.f64 y (-.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 (fma.f64 y (-.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 y (-.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 y y) #s(literal 4 binary64)) (-.f64 y #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal 2 binary64) y)))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 #s(literal 2 binary64) y))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) y))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (neg.f64 y))) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 2 binary64) y)))
(+.f64 (/.f64 #s(literal 8 binary64) (fma.f64 y (-.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))))
(+.f64 #s(literal 2 binary64) y)
(+.f64 y #s(literal 2 binary64))
#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (.f64 #s(approx ( (+ (* (/ 3 x) (* (/ y x) y)) 1) x) (.f64 (.f64 (/.f64 y x) y) #s(literal 3 binary64))) x))
(.f64 #s(approx ( (+ (* (/ 3 x) (* (/ y x) y)) 1) x) (.f64 (.f64 (/.f64 y x) y) #s(literal 3 binary64))) x)
(.f64 x #s(approx ( (+ (* (/ 3 x) (* (/ y x) y)) 1) x) (.f64 (.f64 (/.f64 y x) y) #s(literal 3 binary64))))
#s(approx (* (+ (* (/ 3 x) (* (/ y x) y)) 1) x) (.f64 (.f64 (/.f64 y x) y) #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (/.f64 y x)) y)
(.f64 (.f64 (/.f64 y x) y) #s(literal 3 binary64))
(.f64 (/.f64 y x) (.f64 y #s(literal 3 binary64)))
(.f64 (.f64 y y) (/.f64 #s(literal 3 binary64) x))
(.f64 (.f64 y #s(literal 3 binary64)) (/.f64 y x))
(.f64 y (.f64 (/.f64 y x) #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 (/.f64 y x) y))
(/.f64 (.f64 (.f64 (neg.f64 y) y) #s(literal 3 binary64)) (neg.f64 x))
(/.f64 (.f64 #s(literal 3 binary64) (.f64 (neg.f64 y) y)) (neg.f64 x))
(/.f64 (.f64 (.f64 #s(literal -3 binary64) y) y) (neg.f64 x))
(/.f64 (.f64 (.f64 y #s(literal 3 binary64)) y) x)
(*.f64 (neg.f64 y) (/.f64 (neg.f64 y) x))
(*.f64 (/.f64 y x) y)
(*.f64 y (/.f64 y x))
(/.f64 (*.f64 (neg.f64 y) y) (neg.f64 x))
(/.f64 (*.f64 y y) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 y y) x)
(neg.f64 (/.f64 (*.f64 (neg.f64 y) y) x))

eval54.0ms (0.7%)

Memory: -12.3MiB live, 46.6MiB allocated
Compiler: Compiled 4 292 to 507 computations (88.2% saved)

prune8.0ms (0.1%)

Memory

22.8MiB live, 22.8MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	138	1	139
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	138	8	146

Accuracy

100.0%

Counts

146 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	80.3%	(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (.f64 (fma.f64 (/.f64 (/.f64 y x) x) y #s(literal 1 binary64)) (.f64 x x))))
✓	57.4%	(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
✓	99.9%	(fma.f64 x x (.f64 (.f64 #s(literal 3 binary64) y) y))
✓	53.0%	#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (.f64 #s(approx ( (+ (* (/ 3 x) (* (/ y x) y)) 1) x) (.f64 (/.f64 (.f64 y y) x) #s(literal 3 binary64))) x))
✓	57.4%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
✓	30.5%	#s(approx (+ (* x x) (+ (* y y) (+ y y))) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
	36.3%	#s(approx (+ (* x x) (+ (* y y) (+ y y))) (*.f64 y y))
✓	57.6%	#s(approx (+ (* x x) (* (* 3 y) y)) (*.f64 x x))

Compiler

Compiled 505 to 197 computations (61% saved)

regimes73.0ms (0.9%)

Memory

-25.3MiB live, 65.2MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

5 calls:

34.0ms	(*.f64 x x)
26.0ms	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)

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)

regimes46.0ms (0.6%)

Memory

-0.3MiB live, 45.3MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

35.0ms	(*.f64 x x)
3.0ms	x
3.0ms	y
3.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
2.0ms	(*.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)

regimes50.0ms (0.6%)

Memory

-25.0MiB live, 37.6MiB allocated

Counts

7 → 1

Calls

Call 1

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

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:

39.0ms	(*.f64 y y)
3.0ms	y
2.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.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)

regimes11.0ms (0.1%)

Memory

19.9MiB live, 19.9MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
83.0%	2	`(*.f64 y y)`
88.2%	2	`(*.f64 x x)`
79.7%	3	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
88.2%	2	`x`
83.0%	2	`y`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes8.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
83.0%	2	`(*.f64 y y)`
83.0%	2	`y`
80.7%	2	`(*.f64 x x)`
80.7%	2	`x`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes17.0ms (0.2%)

Memory

-31.2MiB live, 13.0MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (+ (* x x) (* (* 3 y) y)) (*.f64 x x))
#s(approx (+ (* x x) (+ (* y y) (+ y y))) (*.f64 y y))
#s(approx (+ (* x x) (+ (* y y) (+ y y))) (*.f64 (+.f64 #s(literal 2 binary64) 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) (* (* 3 y) y)) (*.f64 x x))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))

Calls

2 calls:

14.0ms	(*.f64 y y)
2.0ms	y

Results

Accuracy	Segments	Branch
83.0%	2	`(*.f64 y y)`
83.0%	2	`y`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes8.0ms (0.1%)

Memory

28.3MiB live, 28.3MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
#s(approx (+ (* x x) (* (* 3 y) y)) (*.f64 x x))
#s(approx (+ (* x x) (+ (* y y) (+ y y))) (*.f64 y y))
#s(approx (+ (* x x) (+ (* y y) (+ y y))) (*.f64 (+.f64 #s(literal 2 binary64) y) y))

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

Calls

5 calls:

2.0ms	y
2.0ms	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
57.6%	1	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
65.7%	2	`(*.f64 x x)`
65.7%	2	`x`
75.5%	2	`(*.f64 y y)`
75.5%	2	`y`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes33.0ms (0.4%)

Memory

-28.7MiB live, 16.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

28.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
1.0ms	y
1.0ms	x
1.0ms	(*.f64 x x)
1.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
57.6%	1	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
57.6%	1	`(*.f64 x x)`
57.6%	1	`x`
57.6%	1	`(*.f64 y y)`
57.6%	1	`y`

Compiler

Compiled 23 to 17 computations (26.1% saved)

bsearch22.0ms (0.3%)

Memory

39.8MiB live, 39.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	4.041009814140928e-52	6.804221972415564e-50

Samples

5.0ms

112×

valid

Compiler

Compiled 193 to 124 computations (35.8% saved)

Precisions

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

ival-add: 1.0ms (35.9% of total)

ival-mult: 1.0ms (35.9% of total)

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

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

bsearch32.0ms (0.4%)

Memory

-22.6MiB live, 21.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	5.302849278421291e-20	1.3709382176407573e-19

Samples

28.0ms

80×

valid

Compiler

Compiled 163 to 112 computations (31.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-add: 1.0ms (49.3% of total)

ival-mult: 1.0ms (49.3% of total)

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

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

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	5.302849278421291e-20	1.3709382176407573e-19

Compiler

Compiled 188 to 122 computations (35.1% saved)

bsearch43.0ms (0.5%)

Memory

-24.4MiB live, 32.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	3.893819063514952e+150	1.4886470094769634e+153

Samples

6.0ms

128×

valid

Compiler

Compiled 242 to 172 computations (28.9% saved)

Precisions

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

ival-mult: 2.0ms (62.3% of total)

ival-add: 1.0ms (31.1% of total)

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

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

simplify55.0ms (0.7%)

Memory

21.1MiB live, 67.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	188
1	77	182
2	220	178
3	609	178
4	1248	178
5	2432	178
6	6848	178

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
(fma.f64 x x (.f64 (.f64 #s(literal 3 binary64) y) y))
#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 2948744166719601/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) (fma.f64 x x (fma.f64 y y (+.f64 y y))))
(if (<=.f64 y #s(literal 3530761863803683/41538374868278621028243970633760768 binary64)) #s(approx (+ (* x x) (* (* 3 y) y)) (.f64 x x)) (fma.f64 y (+.f64 y y) #s(approx (+ ( y y) (* x x)) (*.f64 y y))))
(if (<=.f64 y #s(literal 3530761863803683/41538374868278621028243970633760768 binary64)) #s(approx (+ (* x x) (* (* 3 y) y)) (.f64 x x)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y))))
(if (<=.f64 y #s(literal 36500000000000001571870273717735705522555780162120805802956767718493592475091140718132662158860582440985658680226566575963576699670912786406148222746624 binary64)) #s(approx (+ (* x x) (* (* 3 y) y)) (.f64 x x)) #s(approx (+ ( x x) (+ (* y y) (+ y y))) (*.f64 y y)))
#s(approx (+ (* x x) (* (* 3 y) y)) (*.f64 x x))

Outputs
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
(fma.f64 x x (.f64 (.f64 #s(literal 3 binary64) y) y))
#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 2948744166719601/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y))) (fma.f64 x x (fma.f64 y y (+.f64 y y))))
(if (<=.f64 y #s(literal 3530761863803683/41538374868278621028243970633760768 binary64)) #s(approx (+ (* x x) (* (* 3 y) y)) (.f64 x x)) (fma.f64 y (+.f64 y y) #s(approx (+ ( y y) (* x x)) (*.f64 y y))))
(if (<=.f64 y #s(literal 3530761863803683/41538374868278621028243970633760768 binary64)) #s(approx (+ (* x x) (* (* 3 y) y)) (.f64 x x)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y))))
(if (<=.f64 y #s(literal 36500000000000001571870273717735705522555780162120805802956767718493592475091140718132662158860582440985658680226566575963576699670912786406148222746624 binary64)) #s(approx (+ (* x x) (* (* 3 y) y)) (.f64 x x)) #s(approx (+ ( x x) (+ (* y y) (+ y y))) (*.f64 y y)))
#s(approx (+ (* x x) (* (* 3 y) y)) (*.f64 x x))

soundness2.0s (26%)

Memory

19.1MiB live, 859.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	181	455
1	622	427
2	2964	367
0	9118	340
0	30	121
1	93	105
2	321	105
3	2169	105
0	8459	95
0	492	1877
1	1543	1683
2	6579	1636
0	8340	1551
0	7	39
0	12	39
1	66	35
2	720	35
0	9413	31
0	197	831
1	670	656
2	3104	636
0	8216	590
0	34	233
0	61	166
1	299	159
2	2935	139
0	8879	138

Stop Event

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

Compiler

Compiled 599 to 258 computations (56.9% saved)

preprocess97.0ms (1.2%)

Memory

26.5MiB live, 127.1MiB allocated

Remove

(abs x)

(abs y)

Compiler

Compiled 472 to 140 computations (70.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (14.8%)

explain121.0ms (1.6%)

preprocess75.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify27.0ms (0.3%)

localize35.0ms (0.4%)

series5.0ms (0.1%)

simplify191.0ms (2.4%)

rewrite127.0ms (1.6%)

eval52.0ms (0.7%)

prune50.0ms (0.6%)

simplify144.0ms (1.8%)

localize195.0ms (2.5%)

series60.0ms (0.8%)

simplify134.0ms (1.7%)

rewrite277.0ms (3.6%)

eval248.0ms (3.2%)

prune43.0ms (0.6%)

simplify171.0ms (2.2%)

localize143.0ms (1.8%)

series78.0ms (1%)

simplify282.0ms (3.6%)

rewrite339.0ms (4.4%)

eval460.0ms (5.9%)

prune34.0ms (0.4%)

simplify170.0ms (2.2%)

localize104.0ms (1.3%)

series11.0ms (0.1%)

simplify149.0ms (1.9%)

rewrite328.0ms (4.2%)

eval54.0ms (0.7%)

prune8.0ms (0.1%)

regimes73.0ms (0.9%)

regimes46.0ms (0.6%)

regimes50.0ms (0.6%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

regimes17.0ms (0.2%)

regimes8.0ms (0.1%)

regimes33.0ms (0.4%)

bsearch22.0ms (0.3%)

bsearch32.0ms (0.4%)

bsearch1.0ms (0%)

bsearch43.0ms (0.5%)

simplify55.0ms (0.7%)

soundness2.0s (26%)

preprocess97.0ms (1.2%)

end0.0ms (0%)

Profiling