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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 9 computations (47.1% saved)

sample948.0ms (12.4%)

Memory

11.0MiB live, 1 436.9MiB allocated

Samples

597.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 347.0ms

ival-add: 174.0ms (50.1% of total)

ival-mult: 165.0ms (47.5% of total)

ival-true: 6.0ms (1.7% of total)

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

Bogosity

explain103.0ms (1.4%)

Memory

-10.2MiB live, 272.9MiB 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

28.0ms

512×

valid

Compiler

Compiled 101 to 25 computations (75.2% saved)

Precisions

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

ival-mult: 8.0ms (54.5% of total)

ival-add: 6.0ms (40.9% of total)

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

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

preprocess67.0ms (0.9%)

Memory

-10.2MiB live, 87.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

(abs x)

Compiler

Compiled 15 to 7 computations (53.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

simplify26.0ms (0.3%)

Memory

10.8MiB live, 57.2MiB 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

localize21.0ms (0.3%)

Memory

0.6MiB live, 47.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))
accuracy	0.05859375	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))

Samples

16.0ms

256×

valid

Compiler

Compiled 43 to 9 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (61.3% of total)

ival-add: 3.0ms (36.8% of total)

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

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

series5.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB 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	x	@	-inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y)) (+ (* x x) (* y y)) (* x x) (* y y))

simplify234.0ms (3.1%)

Memory

-36.4MiB live, 263.5MiB 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))

rewrite215.0ms (2.8%)

Memory

5.2MiB live, 240.0MiB 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))))

eval98.0ms (1.3%)

Memory: 33.0MiB live, 132.4MiB allocated
Compiler: Compiled 12 610 to 1 332 computations (89.4% saved)

prune26.0ms (0.3%)

Memory

-17.9MiB live, 27.4MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	463	4	467
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	464	4	468

Accuracy

100.0%

Counts

468 → 4

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)))
▶	52.2%	(+.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))
▶	99.9%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)))
▶	62.4%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))

Compiler

Compiled 90 to 45 computations (50% saved)

simplify222.0ms (2.9%)

Memory

-16.0MiB live, 182.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	239
0	54	226
1	107	226
2	312	220
3	1108	217
4	2963	211
5	5334	190
6	7199	190
0	8098	188

Stop Event

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

Calls

Call 1

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

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

localize117.0ms (1.5%)

Memory

3.4MiB live, 95.7MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 y y (*.f64 x x))
accuracy	0.0	(+.f64 y y)
accuracy	0.0	(*.f64 x x)
accuracy	0.0234375	(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
accuracy	1.7499807332389217	(fma.f64 (neg.f64 x) x (*.f64 y y))
accuracy	16.616170929623944	(/.f64 (*.f64 x x) (+.f64 x y))
accuracy	16.623971061329677	(/.f64 (*.f64 x x) (-.f64 x y))
accuracy	30.0447513724183	(/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y y)))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(*.f64 #s(literal 3 binary64) y)
accuracy	0.0	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)))
accuracy	0.09375	(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
accuracy	0.0	(*.f64 y y)
accuracy	0.12109375	(.f64 #s(literal 3 binary64) (.f64 y y))
accuracy	24.019999830892527	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))

Samples

94.0ms

256×

valid

Compiler

Compiled 238 to 32 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-add: 12.0ms (35.6% of total)

ival-mult: 11.0ms (32.6% of total)

ival-div: 5.0ms (14.8% of total)

ival-pow: 3.0ms (8.9% of total)

ival-sub: 1.0ms (3% of total)

ival-neg: 1.0ms (3% of total)

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

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

exact: 0.0ms (0% of total)

series51.0ms (0.7%)

Memory

-10.5MiB live, 42.3MiB allocated

Counts

17 → 103

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
(.f64 #s(literal 3 binary64) (.f64 y y))
(*.f64 y y)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(*.f64 #s(literal 3 binary64) y)
(*.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))
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
(+.f64 y y)
(fma.f64 y y (*.f64 x x))
(/.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 (* -1 (/ (+ y (* -1 y)) x))))
(* (pow x 2) (- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))) (pow x 2)))) (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))))) (* (pow y 2) (+ y (* -1 y)))) (pow x 3)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
(* (pow x 2) (- (+ 1 (* 2 (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
(* (pow x 2) (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))))) (* (pow y 2) (+ y (* -1 y)))) (pow x 3))) (* 2 (/ (pow y 2) (pow x 2))))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
(* (pow x 2) (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))))) (* (pow y 2) (+ y (* -1 y)))) (pow x 3))) (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)))
(* x (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* -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)
(+ (* -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)))
(* 2 y)
(* (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
4.0ms	x	@	0	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (* x x) (+ (* (/ (* x 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)) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (/ (pow y 4) (+ (* (neg x) x) (* y y))) (/ (* x x) (- x y)) (+ (* (neg x) x) (* y y)))
4.0ms	y	@	0	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (* x x) (+ (* (/ (* x 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)) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (/ (pow y 4) (+ (* (neg x) x) (* y y))) (/ (* x x) (- x y)) (+ (* (neg x) x) (* y y)))
3.0ms	y	@	inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (* x x) (+ (* (/ (* x 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)) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (/ (pow y 4) (+ (* (neg x) x) (* y y))) (/ (* x x) (- x y)) (+ (* (neg x) x) (* y y)))
3.0ms	x	@	inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (* x x) (+ (* (/ (* x 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)) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (/ (pow y 4) (+ (* (neg x) x) (* y y))) (/ (* x x) (- x y)) (+ (* (neg x) x) (* y y)))
3.0ms	y	@	-inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (* x x) (+ (* (/ (* x 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)) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (/ (pow y 4) (+ (* (neg x) x) (* y y))) (/ (* x x) (- x y)) (+ (* (neg x) x) (* y y)))

simplify215.0ms (2.8%)

Memory

20.5MiB live, 155.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	492	1952
1	1543	1693
2	6584	1636
0	8348	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 (* -1 (/ (+ y (* -1 y)) x))))
(* (pow x 2) (- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))) (pow x 2)))) (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))))) (* (pow y 2) (+ y (* -1 y)))) (pow x 3)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
(* (pow x 2) (- (+ 1 (* 2 (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
(* (pow x 2) (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))))) (* (pow y 2) (+ y (* -1 y)))) (pow x 3))) (* 2 (/ (pow y 2) (pow x 2))))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
(* (pow x 2) (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ y (* -1 y)) (+ (* -1 (pow y 2)) (* -1 (pow (+ y (* -1 y)) 2))))) (* (pow y 2) (+ y (* -1 y)))) (pow x 3))) (/ (pow y 2) (pow x 2)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow (+ y (* -1 y)) 2) (pow x 2))) (/ y x))))))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)))
(* x (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* -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)
(+ (* -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)))
(* 2 y)
(* (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))

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

rewrite458.0ms (6%)

Memory

-4.0MiB live, 284.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	209
0	54	240
1	255	219
2	2618	127
0	11006	122

Stop Event

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

Counts

17 → 1 038

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
(.f64 #s(literal 3 binary64) (.f64 y y))
(*.f64 y y)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(*.f64 #s(literal 3 binary64) y)
(*.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))
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
(+.f64 y y)
(fma.f64 y y (*.f64 x x))
(/.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
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
(.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 (.f64 y y) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (.f64 y y))
(.f64 y (fabs.f64 (.f64 (neg.f64 y) #s(literal 3 binary64))))
(.f64 y (fabs.f64 (.f64 #s(literal 3 binary64) y)))
(.f64 y (.f64 #s(literal 3 binary64) y))
(sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (.f64 (.f64 #s(literal 3 binary64) y) y)))
(fabs.f64 (.f64 (.f64 #s(literal 3 binary64) y) y))
(*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(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 #s(literal 2 binary64) (log.f64 y)))
(+.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 y))) (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 y))))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))) (/.f64 (.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))) (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))))))) (.f64 (/.f64 (.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))))))))))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 (neg.f64 x)) x) #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (neg.f64 (neg.f64 x)) x) (.f64 (neg.f64 (neg.f64 x)) x)) (.f64 (.f64 (.f64 #s(literal 3 binary64) y) y) (.f64 (neg.f64 (neg.f64 x)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 3 binary64) y) y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 #s(literal 3 binary64) y) y) (*.f64 (neg.f64 x) x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (.f64 x x) (.f64 (.f64 #s(literal 3 binary64) y) y)))
(/.f64 (-.f64 (.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 #s(literal 3 binary64) y) y) (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 3 binary64) y) y (*.f64 (neg.f64 x) x)))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 3 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 3 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (.f64 (.f64 #s(literal 3 binary64) y) y))
(fma.f64 (fabs.f64 (.f64 #s(literal 3 binary64) (neg.f64 y))) y (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (fabs.f64 (.f64 #s(literal 3 binary64) (neg.f64 y))) y (.f64 x x))
(fma.f64 (fabs.f64 (.f64 #s(literal 3 binary64) y)) y (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (fabs.f64 (.f64 #s(literal 3 binary64) y)) y (.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (.f64 #s(literal 3 binary64) y) y))
(fma.f64 (.f64 #s(literal 3 binary64) (neg.f64 y)) (neg.f64 y) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (.f64 #s(literal 3 binary64) (neg.f64 y)) (neg.f64 y) (.f64 x x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (.f64 (.f64 #s(literal 3 binary64) y) y))
(fma.f64 (neg.f64 y) (.f64 (neg.f64 y) #s(literal 3 binary64)) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (neg.f64 y) (.f64 (neg.f64 y) #s(literal 3 binary64)) (.f64 x x))
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(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 x) x) (*.f64 (neg.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 y x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (neg.f64 (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(neg.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))) (*.f64 (neg.f64 x) x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 y) y))
(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 (neg.f64 y)) (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 y) y (*.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) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.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 y (neg.f64 y) (*.f64 x x))
(fma.f64 y y (*.f64 (neg.f64 x) x))
(fma.f64 x (neg.f64 x) (*.f64 (neg.f64 (neg.f64 y)) y))
(fma.f64 x (neg.f64 x) (*.f64 y y))
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))
(fma.f64 x x (*.f64 (neg.f64 y) y))
(-.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 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 x #s(literal 4 binary64)) (neg.f64 (fma.f64 y y (.f64 x x)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 (fma.f64 y y (.f64 x x)))))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(-.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 x x) (.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)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (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)) (neg.f64 (pow.f64 (.f64 y x) #s(literal 2 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)) (neg.f64 (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)) (neg.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 y y (.f64 x x)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (.f64 x x))))
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (.f64 x x))) (/.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 x x)) (fma.f64 y y (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (.f64 x x))) (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (fma.f64 y y (.f64 x x))))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (.f64 (neg.f64 y) y) (.f64 x x))
(+.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 (neg.f64 y)) y))
(+.f64 (.f64 (neg.f64 x) x) (.f64 y y))
(+.f64 (.f64 x x) (.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))
(+.f64 (.f64 x x) (.f64 (neg.f64 y) y))
(+.f64 (.f64 y y) (.f64 (neg.f64 x) x))

eval268.0ms (3.5%)

Memory: 23.6MiB live, 354.5MiB allocated
Compiler: Compiled 32 680 to 3 400 computations (89.6% saved)

prune109.0ms (1.4%)

Memory

17.4MiB live, 106.0MiB allocated

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	901	4	905
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	903	6	909

Accuracy

100.0%

Counts

909 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y (fma.f64 (sqrt.f64 y) (sqrt.f64 y) y) (fma.f64 y y (*.f64 x x)))
✓	100.0%	(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
▶	99.9%	#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x)))
▶	62.3%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
✓	62.4%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
▶	49.6%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))))

Compiler

Compiled 134 to 71 computations (47% saved)

simplify161.0ms (2.1%)

Memory

-21.0MiB live, 220.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 y y (*.f64 x x))
cost-diff	0	(sqrt.f64 y)
cost-diff	3	(fma.f64 (sqrt.f64 y) (sqrt.f64 y) y)
cost-diff	3	(fma.f64 y (fma.f64 (sqrt.f64 y) (sqrt.f64 y) y) (fma.f64 y y (*.f64 x x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
cost-diff	0	#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x)))
cost-diff	0	(*.f64 #s(literal 3 binary64) y)
cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) y) y)
cost-diff	0	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
cost-diff	0	(pow.f64 y #s(literal 4 binary64))
cost-diff	0	(*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))
cost-diff	0	(sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))))
cost-diff	0	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	165
0	53	146
1	113	145
2	362	139
3	1393	137
4	3177	135
5	4998	128
6	6787	128
0	8325	127

Stop Event

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

Calls

Call 1

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

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

localize164.0ms (2.1%)

Memory

10.8MiB live, 204.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(sqrt.f64 y)
accuracy	0.0234375	(fma.f64 y (fma.f64 (sqrt.f64 y) (sqrt.f64 y) y) (fma.f64 y y (*.f64 x x)))
accuracy	0.07421875	(fma.f64 (sqrt.f64 y) (sqrt.f64 y) y)
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(*.f64 x x)
accuracy	0.0	#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x)))
accuracy	0.05859375	(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
accuracy	0.0	(*.f64 #s(literal 3 binary64) y)
accuracy	0.15625	(.f64 (.f64 #s(literal 3 binary64) y) y)
accuracy	24.019999830892527	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
accuracy	0.0	(pow.f64 y #s(literal 4 binary64))
accuracy	0.07488251953688403	(*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))
accuracy	16.276314325639618	(sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))))
accuracy	24.019999830892527	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))))

Samples

148.0ms

256×

valid

Compiler

Compiled 151 to 37 computations (75.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-add: 78.0ms (59% of total)

ival-mult: 27.0ms (20.4% of total)

ival-pow: 13.0ms (9.8% of total)

ival-div: 5.0ms (3.8% of total)

ival-sqrt: 5.0ms (3.8% of total)

ival-sub: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series60.0ms (0.8%)

Memory

-33.8MiB live, 28.4MiB allocated

Counts

15 → 33

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
52.0ms	y	@	-inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (sqrt (* 9 (pow y 4))) (* 9 (pow y 4)) (pow y 4) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (+ (* 3 (* y y)) (* x x)) (* y y) (* x x) (+ (* y (+ (* (sqrt y) (sqrt y)) y)) (+ (* y y) (* x x))) (+ (* (sqrt y) (sqrt y)) y) (sqrt y) (+ (* y y) (* x x)))
2.0ms	y	@	inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (sqrt (* 9 (pow y 4))) (* 9 (pow y 4)) (pow y 4) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (+ (* 3 (* y y)) (* x x)) (* y y) (* x x) (+ (* y (+ (* (sqrt y) (sqrt y)) y)) (+ (* y y) (* x x))) (+ (* (sqrt y) (sqrt y)) y) (sqrt y) (+ (* y y) (* x x)))
2.0ms	y	@	0	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (sqrt (* 9 (pow y 4))) (* 9 (pow y 4)) (pow y 4) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (+ (* 3 (* y y)) (* x x)) (* y y) (* x x) (+ (* y (+ (* (sqrt y) (sqrt y)) y)) (+ (* y y) (* x x))) (+ (* (sqrt y) (sqrt y)) y) (sqrt y) (+ (* y y) (* x x)))
1.0ms	x	@	0	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (sqrt (* 9 (pow y 4))) (* 9 (pow y 4)) (pow y 4) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (+ (* 3 (* y y)) (* x x)) (* y y) (* x x) (+ (* y (+ (* (sqrt y) (sqrt y)) y)) (+ (* y y) (* x x))) (+ (* (sqrt y) (sqrt y)) y) (sqrt y) (+ (* y y) (* x x)))
1.0ms	x	@	inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (sqrt (* 9 (pow y 4))) (* 9 (pow y 4)) (pow y 4) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (+ (* 3 (* y y)) (* x x)) (* y y) (* x x) (+ (* y (+ (* (sqrt y) (sqrt y)) y)) (+ (* y y) (* x x))) (+ (* (sqrt y) (sqrt y)) y) (sqrt y) (+ (* y y) (* x x)))

simplify105.0ms (1.4%)

Memory

23.3MiB live, 157.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	165	375
1	559	341
2	2734	311
0	9041	290

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 33

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

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))
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
(pow x 2)
(*.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) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(.f64 (.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) 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 (.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) x) (/.f64 y x) #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 (*.f64 #s(literal 3 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(.f64 (.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(.f64 (.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (* 2 (pow y 2)) (+ (pow y 2) (pow (+ y (* -1 y)) 2))) x)))) x))))
(.f64 (.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) x) (/.f64 y x) #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 (*.f64 #s(literal 3 binary64) y) x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(* 9 (pow y 4))
(*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(+ (* -1 (* y (+ x (* -1 x)))) (pow x 2))
(*.f64 x x)
(+ (* y (- (* y (- 3 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
(+ (* y (- (* y (- (+ 3 (* -1 (/ (* y (* (+ x (* -1 x)) (- 1 (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2)))))) (pow x 2)))) (* -1 (/ (pow (+ x (* -1 x)) 2) (pow x 2))))) (+ x (* -1 x)))) (pow x 2))
(fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(sqrt y)
(sqrt.f64 y)
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 3 binary64)) (.f64 y y))
(* (pow y 2) (- (+ 3 (* -1 (/ (* (pow x 4) (+ x (* -1 x))) (pow y 5)))) (* -1 (/ (pow x 2) (pow y 2)))))
(.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 3 binary64)) (.f64 y y))
(* (pow y 2) (- (+ 3 (* -1 (/ (+ (* -1 (pow x 6)) (+ (* (pow x 4) (pow (+ x (* -1 x)) 2)) (pow x 6))) (pow y 6)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (* (pow x 4) (+ x (* -1 x))) (pow y 5)))))
(.f64 (+.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 3 binary64))) (.f64 y y))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 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) #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 (-.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #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))
(* (pow y 2) (+ 1 (* -1 (- (pow (sqrt -1) 2) 1))))
(.f64 #s(literal 3 binary64) (.f64 y y))
(* (pow y 2) (+ 1 (+ (* -1 (- (pow (sqrt -1) 2) 1)) (/ (pow x 2) (pow y 2)))))
(.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 3 binary64)) (.f64 y y))
(* -1 (* y (- (pow (sqrt -1) 2) 1)))
(*.f64 #s(literal 2 binary64) y)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)

rewrite130.0ms (1.7%)

Memory

32.4MiB live, 217.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	152
0	53	138
1	272	124
2	2698	92
0	9442	92

Stop Event

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

Counts

15 → 566

Calls

Call 1

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

Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
(.f64 (neg.f64 (.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)) y)) (neg.f64 (*.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)) y)))
(.f64 (fabs.f64 (.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 y))) (sqrt.f64 y))
(.f64 (fabs.f64 (.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)) y)) (fabs.f64 (*.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)) y)))
(.f64 (fabs.f64 (.f64 #s(literal 3 binary64) y)) y)
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) y) y) (*.f64 #s(literal 3 binary64) y))) (sqrt.f64 y))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) y) y) #s(literal 3 binary64))) y)
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) y) y) (*.f64 y y))) (sqrt.f64 #s(literal 3 binary64)))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) y) y) y)) (sqrt.f64 (*.f64 #s(literal 3 binary64) y)))
(.f64 (sqrt.f64 (.f64 #s(literal 9 binary64) (*.f64 y y))) y)
(.f64 (sqrt.f64 (neg.f64 (.f64 (.f64 #s(literal 3 binary64) y) y))) (sqrt.f64 (neg.f64 (.f64 (*.f64 #s(literal 3 binary64) y) y))))
(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 3 binary64) y) y)) (sqrt.f64 (.f64 (*.f64 #s(literal 3 binary64) y) y)))
(.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) y)) (sqrt.f64 (.f64 y (.f64 (*.f64 #s(literal 3 binary64) y) y))))
(.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (.f64 (.f64 y y) (.f64 (*.f64 #s(literal 3 binary64) y) y))))
(.f64 (sqrt.f64 (pow.f64 (.f64 #s(literal 3 binary64) y) #s(literal 2 binary64))) y)
(.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) y) y) (*.f64 #s(literal 3 binary64) y)) #s(literal 1/2 binary64)) (sqrt.f64 y))
(.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) y) y) #s(literal 3 binary64)) #s(literal 1/2 binary64)) y)
(.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) y) y) (*.f64 y y)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) y) y) y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) y) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 9 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) y)
(.f64 (pow.f64 (neg.f64 (.f64 (.f64 #s(literal 3 binary64) y) y)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (.f64 (*.f64 #s(literal 3 binary64) y) y)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 3 binary64) y) #s(literal 1/2 binary64)) (pow.f64 (.f64 y (.f64 (*.f64 #s(literal 3 binary64) y) y)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 #s(literal 3 binary64) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 y y) (.f64 (*.f64 #s(literal 3 binary64) y) y)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 3 binary64) y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) y)
(.f64 (.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 y)) (sqrt.f64 y))
(.f64 (.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)) y) (*.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)) y))
(.f64 (sqrt.f64 y) (fabs.f64 (.f64 (sqrt.f64 y) (*.f64 #s(literal 3 binary64) y))))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 (.f64 #s(literal 3 binary64) y) (.f64 (*.f64 #s(literal 3 binary64) y) y))))
(.f64 (sqrt.f64 y) (pow.f64 (.f64 (.f64 #s(literal 3 binary64) y) (.f64 (*.f64 #s(literal 3 binary64) y) y)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (*.f64 #s(literal 3 binary64) y)))
(.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 #s(literal 3 binary64) y)))
(.f64 y (sqrt.f64 (.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal 3 binary64) y) y))))
(.f64 y (sqrt.f64 (.f64 (*.f64 y y) #s(literal 9 binary64))))
(.f64 y (sqrt.f64 (pow.f64 (.f64 #s(literal 3 binary64) y) #s(literal 2 binary64))))
(.f64 y (pow.f64 (.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal 3 binary64) y) y)) #s(literal 1/2 binary64)))
(.f64 y (pow.f64 (.f64 (*.f64 y y) #s(literal 9 binary64)) #s(literal 1/2 binary64)))
(.f64 y (pow.f64 (pow.f64 (.f64 #s(literal 3 binary64) y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 y (.f64 #s(literal 3 binary64) y))
(pow.f64 (*.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/4 binary64)) y) #s(literal 2 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 #s(literal 3 binary64) y) y) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 #s(literal 3 binary64) y) y) #s(literal 1 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64)))
(fabs.f64 (neg.f64 (.f64 (.f64 #s(literal 3 binary64) y) y)))
(fabs.f64 (.f64 (.f64 #s(literal 3 binary64) y) y))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (log.f64 #s(literal 3 binary64))))
(+.f64 (cosh.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (log.f64 #s(literal 3 binary64)))) (sinh.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (log.f64 #s(literal 3 binary64)))))
(.f64 (neg.f64 (neg.f64 (.f64 (.f64 #s(literal 3 binary64) y) y))) (neg.f64 (neg.f64 (.f64 (*.f64 #s(literal 3 binary64) y) y))))
(.f64 (pow.f64 (.f64 (*.f64 #s(literal 3 binary64) y) (sqrt.f64 y)) #s(literal 2 binary64)) y)
(.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) y) y) (*.f64 #s(literal 3 binary64) y)) y)
(.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) y) y) #s(literal 3 binary64)) (*.f64 y y))
(.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) y) y) (*.f64 y y)) #s(literal 3 binary64))
(.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) y) y) y) (*.f64 #s(literal 3 binary64) y))
(.f64 (.f64 #s(literal 9 binary64) (.f64 y y)) (.f64 y y))
(.f64 (pow.f64 (.f64 #s(literal 3 binary64) y) #s(literal 2 binary64)) (*.f64 y y))
(.f64 (neg.f64 (.f64 (.f64 #s(literal 3 binary64) y) y)) (neg.f64 (.f64 (*.f64 #s(literal 3 binary64) y) y)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 9 binary64))
(.f64 (.f64 (.f64 #s(literal 3 binary64) y) y) (.f64 (*.f64 #s(literal 3 binary64) y) y))
(.f64 (.f64 #s(literal 3 binary64) y) (.f64 y (.f64 (*.f64 #s(literal 3 binary64) y) y)))
(.f64 #s(literal 3 binary64) (.f64 (.f64 y y) (.f64 (*.f64 #s(literal 3 binary64) y) y)))
(*.f64 #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64)))
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(fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) y) y (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 (/.f64 x (-.f64 x y)) x) x) (/.f64 x (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 y y))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 x) (*.f64 y y))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y) (*.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y) (*.f64 x x))
(fma.f64 (sqrt.f64 y) (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (sqrt.f64 y) (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 (sqrt.f64 y) (pow.f64 y #s(literal 3/2 binary64)) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 (neg.f64 x)) (*.f64 y y))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 y y))
(fma.f64 (neg.f64 x) x (*.f64 y y))
(fma.f64 (.f64 (/.f64 x (-.f64 x y)) x) (.f64 (/.f64 x (-.f64 x y)) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(fma.f64 (.f64 y y) (/.f64 (.f64 y y) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(fma.f64 y y (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 y y (*.f64 (neg.f64 x) x))
(fma.f64 y y (*.f64 x x))
(fma.f64 (.f64 x x) (fabs.f64 (/.f64 (.f64 (/.f64 x (-.f64 x y)) x) (-.f64 x y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(fma.f64 (.f64 x x) (fabs.f64 (/.f64 (.f64 x x) (pow.f64 (-.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(fma.f64 (.f64 x x) (/.f64 (.f64 (/.f64 x (-.f64 x y)) x) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(fma.f64 x (fabs.f64 (.f64 (/.f64 x (-.f64 x y)) (.f64 (/.f64 x (-.f64 x y)) x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(fma.f64 x (.f64 (/.f64 x (-.f64 x y)) (.f64 (/.f64 x (-.f64 x y)) x)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(fma.f64 x (neg.f64 x) (*.f64 y y))
(fma.f64 x x (*.f64 y y))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (.f64 y x) #s(literal 4 binary64))) (pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (.f64 y x) #s(literal 4 binary64))) (pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(-.f64 (/.f64 (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (/.f64 (.f64 (-.f64 x y) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 x y) #s(literal 3 binary64))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 x y) #s(literal 2 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)) (neg.f64 (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)) (neg.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 x x) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) y) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) y) y (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(-.f64 (.f64 (neg.f64 x) x) (.f64 y y))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(-.f64 (.f64 y y) (.f64 (neg.f64 (neg.f64 x)) x))
(-.f64 (.f64 y y) (.f64 (neg.f64 x) x))
(-.f64 (.f64 y y) (.f64 x x))
(-.f64 (.f64 x x) (.f64 y y))
(+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64))) (-.f64 (pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64))))) (/.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64))) (-.f64 (pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (.f64 y x) #s(literal 4 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 x x) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (pow.f64 (-.f64 x y) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) y) y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64)) y) y (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(+.f64 (.f64 (neg.f64 x) x) (.f64 y y))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(+.f64 (.f64 y y) (.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 (.f64 y y) (.f64 (neg.f64 x) x))
(+.f64 (.f64 y y) (.f64 x x))
(+.f64 (.f64 x x) (.f64 y y))

eval87.0ms (1.1%)

Memory: -46.0MiB live, 195.9MiB allocated
Compiler: Compiled 18 673 to 1 577 computations (91.6% saved)

prune14.0ms (0.2%)

Memory

2.8MiB live, 49.2MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	575	3	578
Fresh	0	0	0
Picked	2	2	4
Done	0	2	2
Total	577	7	584

Accuracy

100.0%

Counts

584 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.4%	(fma.f64 y (fma.f64 (sqrt.f64 y) (sqrt.f64 y) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
✓	100.0%	(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
✓	99.9%	#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x)))
▶	52.8%	#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (*.f64 x x))
▶	62.2%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 y)) (sqrt.f64 y)) y))
✓	62.3%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
✓	62.4%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))

Compiler

Compiled 182 to 94 computations (48.4% saved)

simplify147.0ms (1.9%)

Memory

32.6MiB live, 281.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	135
0	44	113
1	100	112
2	340	108
3	1280	106
4	3207	104
5	5088	97
6	6877	97
0	8035	93

Stop Event

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

Calls

Call 1

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

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

localize425.0ms (5.6%)

Memory

-8.7MiB live, 376.0MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.0	(sqrt.f64 y)
accuracy	0.01171875	(fma.f64 y (fma.f64 (sqrt.f64 y) (sqrt.f64 y) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
accuracy	0.05078125	(fma.f64 (sqrt.f64 y) (sqrt.f64 y) y)
accuracy	15.595220171341731	#s(approx (+ (* y y) (* x x)) (*.f64 y y))
accuracy	0.0	(*.f64 x x)
accuracy	20.106580771608662	#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (*.f64 x x))
accuracy	0.05859375	(.f64 (.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 y)) (sqrt.f64 y)) y)
accuracy	0.171875	(*.f64 #s(literal 3 binary64) (sqrt.f64 y))
accuracy	0.19140625	(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 y)) (sqrt.f64 y))
accuracy	15.586702102759318	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 y)) (sqrt.f64 y)) y))

Samples

307.0ms	87×	5	exit
75.0ms	169×	0	valid

Compiler

Compiled 118 to 33 computations (72% saved)

Precisions

Click to see histograms. Total time spent on operations: 343.0ms

ival-pow: 210.0ms (61.3% of total)

adjust: 55.0ms (16.1% of total)

ival-add: 39.0ms (11.4% of total)

ival-mult: 25.0ms (7.3% of total)

ival-div: 5.0ms (1.5% of total)

ival-sqrt: 5.0ms (1.5% of total)

ival-sub: 1.0ms (0.3% of total)

ival-neg: 1.0ms (0.3% of total)

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

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

exact: 0.0ms (0% of total)

series32.0ms (0.4%)

Memory

-8.4MiB live, 32.2MiB allocated

Counts

10 → 34

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	y	@	0	((* (* 3 (sqrt y)) (sqrt y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* (* 3 (sqrt y)) (sqrt y)) y) (* 3 (sqrt y)) (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (* x x) (+ (* (sqrt y) (sqrt y)) y) (+ (* y (+ (* (sqrt y) (sqrt y)) y)) (+ (* y y) (* x x))) (sqrt y) (+ (* y y) (* x x)))
4.0ms	y	@	-inf	((* (* 3 (sqrt y)) (sqrt y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* (* 3 (sqrt y)) (sqrt y)) y) (* 3 (sqrt y)) (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (* x x) (+ (* (sqrt y) (sqrt y)) y) (+ (* y (+ (* (sqrt y) (sqrt y)) y)) (+ (* y y) (* x x))) (sqrt y) (+ (* y y) (* x x)))
2.0ms	y	@	inf	((* (* 3 (sqrt y)) (sqrt y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* (* 3 (sqrt y)) (sqrt y)) y) (* 3 (sqrt y)) (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (* x x) (+ (* (sqrt y) (sqrt y)) y) (+ (* y (+ (* (sqrt y) (sqrt y)) y)) (+ (* y y) (* x x))) (sqrt y) (+ (* y y) (* x x)))
1.0ms	x	@	0	((* (* 3 (sqrt y)) (sqrt y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* (* 3 (sqrt y)) (sqrt y)) y) (* 3 (sqrt y)) (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (* x x) (+ (* (sqrt y) (sqrt y)) y) (+ (* y (+ (* (sqrt y) (sqrt y)) y)) (+ (* y y) (* x x))) (sqrt y) (+ (* y y) (* x x)))
1.0ms	x	@	inf	((* (* 3 (sqrt y)) (sqrt y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* (* 3 (sqrt y)) (sqrt y)) y) (* 3 (sqrt y)) (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (* x x) (+ (* (sqrt y) (sqrt y)) y) (+ (* y (+ (* (sqrt y) (sqrt y)) y)) (+ (* y y) (* x x))) (sqrt y) (+ (* y y) (* x x)))

simplify318.0ms (4.2%)

Memory

12.2MiB live, 251.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	166	368
1	561	334
2	2764	304
0	8823	284

Stop Event

1×	iter limit
1×	node limit

Counts

34 → 34

Calls

Call 1

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

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

rewrite210.0ms (2.8%)

Memory

-11.9MiB live, 178.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	126
0	44	104
1	238	94
2	2484	62
0	11266	62

Stop Event

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

Counts

10 → 85

Calls

Call 1

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

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

eval19.0ms (0.2%)

Memory: 24.8MiB live, 24.8MiB allocated
Compiler: Compiled 5 251 to 506 computations (90.4% saved)

prune43.0ms (0.6%)

Memory

-27.4MiB live, 16.8MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	161	2	163
Fresh	0	0	0
Picked	0	3	3
Done	1	3	4
Total	162	8	170

Accuracy

100.0%

Counts

170 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	62.4%	(fma.f64 y (fma.f64 (sqrt.f64 y) (sqrt.f64 y) y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
	62.4%	(fma.f64 y #s(approx (+ (* (sqrt y) (sqrt y)) y) (.f64 #s(literal 2 binary64) y)) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
	39.1%	(-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 0 binary64))
✓	99.9%	#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x)))
✓	52.8%	#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (*.f64 x x))
✓	62.2%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 y)) (sqrt.f64 y)) y))
✓	62.3%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
✓	62.4%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))

Compiler

Compiled 536 to 186 computations (65.3% saved)

regimes20.0ms (0.3%)

Memory

23.8MiB live, 23.8MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes267.0ms (3.5%)

Memory

-28.9MiB live, 16.9MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

5 calls:

257.0ms	(*.f64 x x)
3.0ms	y
3.0ms	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
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)

regimes10.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

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)

regimes9.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
84.3%	2	`(*.f64 y y)`
83.0%	2	`(*.f64 x x)`
66.5%	3	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
83.0%	2	`x`
84.3%	2	`y`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes5.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

(-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 0 binary64))

Outputs

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

(-.f64 #s(approx (+ (* y y) (* x x)) (*.f64 y y)) #s(literal 0 binary64))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
65.7%	2	`(*.f64 x x)`
65.7%	2	`x`
73.2%	2	`(*.f64 y y)`
73.2%	2	`y`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes270.0ms (3.5%)

Memory

-35.2MiB live, 11.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

265.0ms	(*.f64 x x)
1.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
1.0ms	y
1.0ms	x
1.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
52.8%	1	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
52.8%	1	`(*.f64 x x)`
52.8%	1	`x`
52.8%	1	`(*.f64 y y)`
52.8%	1	`y`

Compiler

Compiled 23 to 17 computations (26.1% saved)

bsearch14.0ms (0.2%)

Memory

21.0MiB live, 21.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.8341258742717786e-62	2.465924166479843e-54

Samples

7.0ms

144×

valid

Compiler

Compiled 567 to 309 computations (45.5% saved)

Precisions

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

ival-add: 2.0ms (55.8% of total)

ival-mult: 2.0ms (55.8% of total)

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

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

bsearch20.0ms (0.3%)

Memory

-27.6MiB live, 25.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.531209878907135e+85	4.823726483733402e+88

Samples

6.0ms

128×

valid

Compiler

Compiled 442 to 260 computations (41.2% saved)

Precisions

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

ival-mult: 2.0ms (62.5% of total)

ival-add: 1.0ms (31.3% of total)

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

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

simplify66.0ms (0.9%)

Memory

26.1MiB live, 73.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	45	242
1	88	224
2	261	220
3	974	212
4	2815	212
5	5322	184
6	7352	184

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)))
(if (<=.f64 y #s(literal 7950811791502729/1766847064778384329583297500742918515827483896875618958121606201292619776 binary64)) #s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (.f64 x x)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y))))
(if (<=.f64 y #s(literal 839999999999999957075813219442383046536789211590106630185161283859536504670770710970368 binary64)) #s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (.f64 x x)) (-.f64 #s(approx (+ ( y y) (* x x)) (*.f64 y y)) #s(literal 0 binary64)))
#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (*.f64 x x))

Outputs
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (fma.f64 #s(literal 3 binary64) (.f64 y y) (.f64 x x)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)))
(if (<=.f64 y #s(literal 7950811791502729/1766847064778384329583297500742918515827483896875618958121606201292619776 binary64)) #s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (.f64 x x)) #s(approx (+ (+ (+ ( x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y))))
(if (<=.f64 y #s(literal 839999999999999957075813219442383046536789211590106630185161283859536504670770710970368 binary64)) #s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (.f64 x x)) (-.f64 #s(approx (+ ( y y) (* x x)) (*.f64 y y)) #s(literal 0 binary64)))
(if (<=.f64 y #s(literal 839999999999999957075813219442383046536789211590106630185161283859536504670770710970368 binary64)) #s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (.f64 x x)) #s(approx (+ ( y y) (* x x)) (*.f64 y y)))
#s(approx (+ (+ (+ (* (/ (* x x) (+ x y)) (/ (* x x) (- x y))) (/ (pow y 4) (+ (* (neg x) x) (* y y)))) (* y y)) (* y y)) (*.f64 x x))

soundness1.8s (23.6%)

Memory

31.5MiB live, 868.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	165	375
1	559	341
2	2734	311
0	9041	290
0	30	121
1	93	105
2	321	105
3	2169	105
0	8459	95
0	7	39
0	12	39
1	66	35
2	720	35
0	9413	31
0	34	126
0	44	104
1	238	94
2	2484	62
0	11266	62
0	30	209
0	54	240
1	255	219
2	2618	127
0	11006	122
0	492	1952
1	1543	1693
2	6584	1636
0	8348	1551

Stop Event

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

Compiler

Compiled 338 to 99 computations (70.7% saved)

preprocess61.0ms (0.8%)

Memory

14.8MiB live, 107.9MiB allocated

Remove

(abs x)

(abs y)

Compiler

Compiled 576 to 138 computations (76% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample948.0ms (12.4%)

explain103.0ms (1.4%)

preprocess67.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify26.0ms (0.3%)

localize21.0ms (0.3%)

series5.0ms (0.1%)

simplify234.0ms (3.1%)

rewrite215.0ms (2.8%)

eval98.0ms (1.3%)

prune26.0ms (0.3%)

simplify222.0ms (2.9%)

localize117.0ms (1.5%)

series51.0ms (0.7%)

simplify215.0ms (2.8%)

rewrite458.0ms (6%)

eval268.0ms (3.5%)

prune109.0ms (1.4%)

simplify161.0ms (2.1%)

localize164.0ms (2.1%)

series60.0ms (0.8%)

simplify105.0ms (1.4%)

rewrite130.0ms (1.7%)

eval87.0ms (1.1%)

prune14.0ms (0.2%)

simplify147.0ms (1.9%)

localize425.0ms (5.6%)

series32.0ms (0.4%)

simplify318.0ms (4.2%)

rewrite210.0ms (2.8%)

eval19.0ms (0.2%)

prune43.0ms (0.6%)

regimes20.0ms (0.3%)

regimes267.0ms (3.5%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes5.0ms (0.1%)

regimes270.0ms (3.5%)

bsearch14.0ms (0.2%)

bsearch20.0ms (0.3%)

simplify66.0ms (0.9%)

soundness1.8s (23.6%)

preprocess61.0ms (0.8%)

end0.0ms (0%)

Profiling