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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 17 to 9 computations (47.1% saved)

sample1.1s (15%)

Memory

22.2MiB live, 1 305.6MiB allocated; 332ms collecting garbage

Samples

735.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 512.0ms

ival-mult: 362.0ms (70.6% of total)

ival-add: 140.0ms (27.3% of total)

ival-true: 6.0ms (1.2% of total)

ival-assert: 3.0ms (0.6% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

explain130.0ms (1.8%)

Memory

-16.2MiB live, 146.1MiB allocated; 32ms collecting garbage

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

46.0ms

512×

valid

Compiler

Compiled 101 to 25 computations (75.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-add: 24.0ms (74.6% of total)

ival-mult: 7.0ms (21.8% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess102.0ms (1.4%)

Memory

-9.1MiB live, 91.0MiB allocated; 21ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

(abs x)

Compiler

Compiled 15 to 7 computations (53.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))

Compiler

Compiled 15 to 7 computations (53.3% saved)

simplify53.0ms (0.7%)

Memory

-6.6MiB live, 37.7MiB allocated; 6ms collecting garbage

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

29.1MiB live, 29.1MiB allocated; 0ms collecting garbage

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	0.1015625	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))

Samples

13.0ms

256×

valid

Compiler

Compiled 43 to 9 computations (79.1% saved)

Precisions

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

ival-add: 3.0ms (47.3% of total)

ival-mult: 3.0ms (47.3% of total)

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

adjust: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated; 0ms collecting garbage

Counts

5 → 15

Calls

Call 1

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

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

Calls

6 calls:

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

simplify255.0ms (3.5%)

Memory

-8.3MiB live, 268.8MiB allocated; 38ms collecting garbage

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))

rewrite180.0ms (2.5%)

Memory

11.5MiB live, 163.6MiB allocated; 11ms collecting garbage

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

eval138.0ms (1.9%)

Memory: 4.9MiB live, 105.3MiB allocated; 22ms collecting garbage
Compiler: Compiled 12 610 to 1 332 computations (89.4% saved)

prune40.0ms (0.6%)

Memory

-10.1MiB live, 29.6MiB allocated; 12ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

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

Accuracy

100.0%

Counts

468 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
▶	19.0%	(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 y y (.f64 #s(literal 2 binary64) (.f64 y y))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.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)))))))
▶	87.4%	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y)) (sqrt.f64 (pow.f64 y #s(literal 4 binary64))))
▶	99.9%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)))
▶	62.8%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))

Compiler

Compiled 242 to 116 computations (52.1% saved)

simplify218.0ms (3%)

Memory

-9.6MiB live, 175.8MiB allocated; 46ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	2	(.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))))
cost-diff	2	(pow.f64 (fma.f64 y y (.f64 #s(literal 2 binary64) (.f64 y y))) #s(literal 3 binary64))
cost-diff	3	(fma.f64 y y (.f64 #s(literal 2 binary64) (.f64 y y)))
cost-diff	5	(-.f64 (.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)))))
cost-diff	0	(*.f64 x x)
cost-diff	1	(+.f64 (.f64 x x) (.f64 y y))
cost-diff	1	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y)) (sqrt.f64 (pow.f64 y #s(literal 4 binary64))))
cost-diff	2	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))
cost-diff	0	(*.f64 x x)
cost-diff	0	(*.f64 #s(literal 3 binary64) y)
cost-diff	0	(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
cost-diff	0	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)))
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 y y))
cost-diff	0	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 y y (*.f64 x x))
cost-diff	0	(+.f64 y y)
cost-diff	3	(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	344
0	64	256
1	143	254
2	704	254
3	3817	248
0	8393	238

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
y
(+.f64 y y)
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
(.f64 #s(literal 3 binary64) (.f64 y y))
#s(literal 3 binary64)
(*.f64 y y)
y
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
(*.f64 x x)
x
(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y)) (sqrt.f64 (pow.f64 y #s(literal 4 binary64))))
(+.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
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(pow.f64 y #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 y y (.f64 #s(literal 2 binary64) (.f64 y y))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.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 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 y y (.f64 #s(literal 2 binary64) (.f64 y y))) #s(literal 3 binary64)))
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
(pow.f64 (fma.f64 y y (.f64 #s(literal 2 binary64) (.f64 y y))) #s(literal 3 binary64))
(fma.f64 y y (.f64 #s(literal 2 binary64) (.f64 y y)))
y
(.f64 #s(literal 2 binary64) (.f64 y y))
#s(literal 2 binary64)
(*.f64 y y)
#s(literal 3 binary64)
(+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.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))))))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 (.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 (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 x x)

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

localize93.0ms (1.3%)

Memory

-7.5MiB live, 187.3MiB allocated; 34ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	5.578125000000001	(+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.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))))))
accuracy	10.328085780773915	(-.f64 (.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)))))
accuracy	13.227281319652324	(.f64 (.f64 x x) (fma.f64 y y (.f64 #s(literal 2 binary64) (.f64 y y))))
accuracy	46.10650337920487	(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 y y (.f64 #s(literal 2 binary64) (.f64 y y))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.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)))))))
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))
accuracy	0.1015625	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y)) (sqrt.f64 (pow.f64 y #s(literal 4 binary64))))
accuracy	15.97693922159156	(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
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	0.05859375	(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
accuracy	0.0	(*.f64 y y)
accuracy	0.19140625	(.f64 #s(literal 3 binary64) (.f64 y y))
accuracy	23.737214846793563	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
accuracy	0.0	(fma.f64 y y (*.f64 x x))
accuracy	0.0	(+.f64 y y)
accuracy	0.0	(*.f64 x x)
accuracy	0.046875	(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))

Samples

63.0ms

256×

valid

Compiler

Compiled 351 to 35 computations (90% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-add: 16.0ms (35.1% of total)

ival-mult: 15.0ms (32.9% of total)

ival-pow: 9.0ms (19.8% of total)

ival-sqrt: 2.0ms (4.4% of total)

ival-div: 1.0ms (2.2% of total)

ival-sub: 1.0ms (2.2% of total)

exact: 1.0ms (2.2% of total)

adjust: 0.0ms (0% of total)

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

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

series49.0ms (0.7%)

Memory

1.0MiB live, 46.6MiB allocated; 8ms collecting garbage

Counts

21 → 40

Calls

Call 1

Inputs
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
(+.f64 y y)
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
(.f64 #s(literal 3 binary64) (.f64 y y))
(*.f64 y y)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(*.f64 #s(literal 3 binary64) y)
(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))
(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y)) (sqrt.f64 (pow.f64 y #s(literal 4 binary64))))
(+.f64 (.f64 x x) (.f64 y y))
(-.f64 (.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)))))
(fma.f64 y y (.f64 #s(literal 2 binary64) (.f64 y y)))
(pow.f64 (fma.f64 y y (.f64 #s(literal 2 binary64) (.f64 y y))) #s(literal 3 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))))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 y y (.f64 #s(literal 2 binary64) (.f64 y y))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.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 x x) (fma.f64 y y (.f64 #s(literal 2 binary64) (.f64 y y))))
(+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.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))))))

Outputs
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(pow y 2)
(+ (pow x 2) (pow y 2))
(pow x 2)
(* 3 (pow y 2))
(+ (* 3 (pow y 2)) (pow x 2))
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (pow x 2))
(pow (+ (* 2 (pow y 2)) (pow y 2)) 2)
(+ (* -1 (* (pow x 2) (+ (* 2 (pow y 2)) (pow y 2)))) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2))
(* (pow x 2) (+ (* 2 (pow y 2)) (pow y 2)))
(+ (* (pow x 2) (- (pow x 2) (+ (* 2 (pow y 2)) (pow y 2)))) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (* 3 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 2 (/ (pow y 2) (pow x 2)))))
(* -1 (* (pow x 2) (+ (* 2 (pow y 2)) (pow y 2))))
(* (pow x 2) (- (/ (pow (+ (* 2 (pow y 2)) (pow y 2)) 2) (pow x 2)) (+ (* 2 (pow y 2)) (pow y 2))))
(* (pow x 2) (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (* 2 (pow y 2)) (pow y 2)) 2)) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2)) (pow x 4)))) (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow x 2)))))
(* (pow x 2) (- (+ 1 (* -1 (/ (* (+ (* -1 (pow (+ (* 2 (pow y 2)) (pow y 2)) 2)) (pow (+ (* 2 (pow y 2)) (pow y 2)) 2)) (+ (* 2 (pow y 2)) (pow y 2))) (pow x 6)))) (+ (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow x 2))) (+ (* -1 (/ (pow (+ (* 2 (pow y 2)) (pow y 2)) 2) (pow x 4))) (/ (pow (+ (* 2 (pow y 2)) (pow y 2)) 2) (pow x 4))))))
(pow x 4)
(* (pow x 4) (+ 1 (* -1 (/ (+ (* 2 (pow y 2)) (pow y 2)) (pow x 2)))))
(* (pow x 4) (- (+ 1 (/ (pow (+ (* 2 (pow y 2)) (pow y 2)) 2) (pow x 4))) (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* 2 y)
(* 3 y)
(* -3 (* (pow x 2) (pow y 2)))
(* (pow y 2) (- (* 9 (pow y 2)) (* 3 (pow x 2))))
(* 27 (pow y 6))
(* 9 (pow y 4))
(* 3 (* (pow x 2) (pow y 2)))
(+ (* -3 (* (pow x 2) (pow y 2))) (pow x 4))
(+ (* (pow y 2) (- (* 9 (pow y 2)) (* 3 (pow x 2)))) (pow x 4))
(* (pow y 2) (+ 3 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 2 (/ (pow x 2) (pow y 2))))
(* (pow y 4) (+ 9 (* -3 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (- (+ 3 (* -1 (/ (+ (* -1/3 (pow x 4)) (* 1/3 (pow x 4))) (pow y 4)))) (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (- (+ 3 (* -1/3 (/ (* (pow x 2) (+ (* -1/3 (pow x 4)) (* 1/3 (pow x 4)))) (pow y 6)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (* -1/3 (/ (pow x 4) (pow y 4))) (* 1/3 (/ (pow x 4) (pow y 4)))))))
(* (pow y 4) (- (+ 9 (/ (pow x 4) (pow y 4))) (* 3 (/ (pow x 2) (pow y 2)))))

Calls

6 calls:

Time	Variable		Point	Expression
31.0ms	y	@	-inf	((+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (sqrt (pow y 4))) (+ (* x x) (* y y)) (- (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y)))) (* (* x x) (+ (* y y) (* 2 (* y y))))) (+ (* y y) (* 2 (* y y))) (pow (+ (* y y) (* 2 (* y y))) 3) (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y)))) (sqrt (pow y 4)) (/ (+ (pow x 6) (pow (+ (* y y) (* 2 (* y y))) 3)) (+ (pow x 4) (- (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y)))) (* (* x x) (+ (* y y) (* 2 (* y y))))))) (* (* x x) (+ (* y y) (* 2 (* y y)))) (+ (pow x 4) (- (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y)))) (* (* x x) (+ (* y y) (* 2 (* y y)))))))
6.0ms	y	@	inf	((+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (sqrt (pow y 4))) (+ (* x x) (* y y)) (- (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y)))) (* (* x x) (+ (* y y) (* 2 (* y y))))) (+ (* y y) (* 2 (* y y))) (pow (+ (* y y) (* 2 (* y y))) 3) (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y)))) (sqrt (pow y 4)) (/ (+ (pow x 6) (pow (+ (* y y) (* 2 (* y y))) 3)) (+ (pow x 4) (- (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y)))) (* (* x x) (+ (* y y) (* 2 (* y y))))))) (* (* x x) (+ (* y y) (* 2 (* y y)))) (+ (pow x 4) (- (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y)))) (* (* x x) (+ (* y y) (* 2 (* y y)))))))
3.0ms	x	@	inf	((+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (sqrt (pow y 4))) (+ (* x x) (* y y)) (- (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y)))) (* (* x x) (+ (* y y) (* 2 (* y y))))) (+ (* y y) (* 2 (* y y))) (pow (+ (* y y) (* 2 (* y y))) 3) (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y)))) (sqrt (pow y 4)) (/ (+ (pow x 6) (pow (+ (* y y) (* 2 (* y y))) 3)) (+ (pow x 4) (- (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y)))) (* (* x x) (+ (* y y) (* 2 (* y y))))))) (* (* x x) (+ (* y y) (* 2 (* y y)))) (+ (pow x 4) (- (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y)))) (* (* x x) (+ (* y y) (* 2 (* y y)))))))
3.0ms	y	@	0	((+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (sqrt (pow y 4))) (+ (* x x) (* y y)) (- (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y)))) (* (* x x) (+ (* y y) (* 2 (* y y))))) (+ (* y y) (* 2 (* y y))) (pow (+ (* y y) (* 2 (* y y))) 3) (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y)))) (sqrt (pow y 4)) (/ (+ (pow x 6) (pow (+ (* y y) (* 2 (* y y))) 3)) (+ (pow x 4) (- (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y)))) (* (* x x) (+ (* y y) (* 2 (* y y))))))) (* (* x x) (+ (* y y) (* 2 (* y y)))) (+ (pow x 4) (- (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y)))) (* (* x x) (+ (* y y) (* 2 (* y y)))))))
3.0ms	x	@	0	((+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (sqrt (pow y 4))) (+ (* x x) (* y y)) (- (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y)))) (* (* x x) (+ (* y y) (* 2 (* y y))))) (+ (* y y) (* 2 (* y y))) (pow (+ (* y y) (* 2 (* y y))) 3) (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y)))) (sqrt (pow y 4)) (/ (+ (pow x 6) (pow (+ (* y y) (* 2 (* y y))) 3)) (+ (pow x 4) (- (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y)))) (* (* x x) (+ (* y y) (* 2 (* y y))))))) (* (* x x) (+ (* y y) (* 2 (* y y)))) (+ (pow x 4) (- (* (+ (* y y) (* 2 (* y y))) (+ (* y y) (* 2 (* y y)))) (* (* x x) (+ (* y y) (* 2 (* y y)))))))

simplify143.0ms (2%)

Memory

36.3MiB live, 218.2MiB allocated; 39ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	470
1	377	457
2	1553	446
3	7838	446
0	8098	418

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 40

Calls

Call 1

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

rewrite536.0ms (7.4%)

Memory

12.4MiB live, 766.6MiB allocated; 158ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	285
0	64	166
1	301	154
2	2800	154
0	10972	152

Stop Event

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

Counts

21 → 3 583

Calls

Call 1

Inputs
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
(+.f64 y y)
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
(.f64 #s(literal 3 binary64) (.f64 y y))
(*.f64 y y)
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)))
(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
(*.f64 #s(literal 3 binary64) y)
(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y))
(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y)) (sqrt.f64 (pow.f64 y #s(literal 4 binary64))))
(+.f64 (.f64 x x) (.f64 y y))
(-.f64 (.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)))))
(fma.f64 y y (.f64 #s(literal 2 binary64) (.f64 y y)))
(pow.f64 (fma.f64 y y (.f64 #s(literal 2 binary64) (.f64 y y))) #s(literal 3 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))))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 y y (.f64 #s(literal 2 binary64) (.f64 y y))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.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 x x) (fma.f64 y y (.f64 #s(literal 2 binary64) (.f64 y y))))
(+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.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))))))

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

eval399.0ms (5.6%)

Memory: -21.1MiB live, 652.8MiB allocated; 211ms collecting garbage
Compiler: Compiled 81 460 to 7 043 computations (91.4% saved)

prune40.0ms (0.6%)

Memory

40.3MiB live, 133.4MiB allocated; 7ms collecting garbage

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	2 322	5	2 327
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	2 325	7	2 332

Accuracy

100.0%

Counts

2 332 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.6%	(fma.f64 y (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) y)) (fma.f64 y y (*.f64 x x)))
▶	62.8%	(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.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)))
▶	28.1%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y)))
▶	62.8%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
✓	62.8%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
▶	53.9%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))))

Compiler

Compiled 239 to 131 computations (45.2% saved)

simplify184.0ms (2.6%)

Memory

-43.0MiB live, 306.2MiB allocated; 43ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	177
0	47	166
1	103	164
2	303	155
3	941	153
4	2603	153
5	4105	153
6	6308	153
7	7388	153
0	8213	147

Stop Event

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

Calls

Call 1

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

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

localize71.0ms (1%)

Memory

22.7MiB live, 170.0MiB allocated; 8ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 y #s(literal 4 binary64))
accuracy	0.19140625	(*.f64 #s(literal 3 binary64) (sqrt.f64 (pow.f64 y #s(literal 4 binary64))))
accuracy	15.97693922159156	(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
accuracy	23.737214846793563	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))))
accuracy	0.0	(+.f64 y y)
accuracy	0.0	(*.f64 y y)
accuracy	0.046875	(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
accuracy	23.762771246387015	#s(approx (+ (* y y) (* x x)) (*.f64 y y))
accuracy	0.0	(fma.f64 y y (*.f64 #s(literal 2 binary64) y))
accuracy	0.0	(*.f64 #s(literal 2 binary64) y)
accuracy	46.0052397142729	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y)))
accuracy	0.0	(*.f64 #s(literal 3 binary64) y)
accuracy	0.125	(.f64 (.f64 #s(literal 3 binary64) y) y)
accuracy	23.737214846793563	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(*.f64 #s(literal 2 binary64) y)
accuracy	0.00390625	(fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) y))
accuracy	0.0390625	(fma.f64 y (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) y)) (fma.f64 y y (*.f64 x x)))

Samples

54.0ms

256×

valid

Compiler

Compiled 160 to 27 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 13.0ms (47.3% of total)

ival-add: 9.0ms (32.8% of total)

ival-pow: 3.0ms (10.9% of total)

ival-sqrt: 2.0ms (7.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series39.0ms (0.5%)

Memory

-23.0MiB live, 23.8MiB allocated; 4ms collecting garbage

Counts

17 → 27

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
31.0ms	x	@	-inf	((+ (* y (+ (* (* y y) 4) (* 2 y))) (+ (* y y) (* x x))) (+ (* (* y y) 4) (* 2 y)) (* y y) (* 2 y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y y) (* 2 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (sqrt (pow y 4))) (sqrt (pow y 4)) (pow y 4) (* x x))
2.0ms	y	@	inf	((+ (* y (+ (* (* y y) 4) (* 2 y))) (+ (* y y) (* x x))) (+ (* (* y y) 4) (* 2 y)) (* y y) (* 2 y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y y) (* 2 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (sqrt (pow y 4))) (sqrt (pow y 4)) (pow y 4) (* x x))
2.0ms	y	@	-inf	((+ (* y (+ (* (* y y) 4) (* 2 y))) (+ (* y y) (* x x))) (+ (* (* y y) 4) (* 2 y)) (* y y) (* 2 y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y y) (* 2 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (sqrt (pow y 4))) (sqrt (pow y 4)) (pow y 4) (* x x))
1.0ms	y	@	0	((+ (* y (+ (* (* y y) 4) (* 2 y))) (+ (* y y) (* x x))) (+ (* (* y y) 4) (* 2 y)) (* y y) (* 2 y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y y) (* 2 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (sqrt (pow y 4))) (sqrt (pow y 4)) (pow y 4) (* x x))
1.0ms	x	@	0	((+ (* y (+ (* (* y y) 4) (* 2 y))) (+ (* y y) (* x x))) (+ (* (* y y) 4) (* 2 y)) (* y y) (* 2 y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* (* 3 y) y) (* 3 y) (+ (* y y) (* 2 y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (sqrt (pow y 4))) (sqrt (pow y 4)) (pow y 4) (* x x))

simplify176.0ms (2.4%)

Memory

-3.1MiB live, 227.0MiB allocated; 25ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	275
1	229	243
2	798	242
3	4492	242
0	8348	225

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 27

Calls

Call 1

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

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

rewrite173.0ms (2.4%)

Memory

26.0MiB live, 170.8MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	153
0	47	134
1	211	117
0	2261	112

Stop Event

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

Counts

17 → 1 570

Calls

Call 1

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

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

eval181.0ms (2.5%)

Memory: 2.4MiB live, 229.9MiB allocated; 55ms collecting garbage
Compiler: Compiled 16 901 to 1 801 computations (89.3% saved)

prune31.0ms (0.4%)

Memory

9.2MiB live, 54.6MiB allocated; 7ms collecting garbage

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	847	3	850
Fresh	0	0	0
Picked	1	4	5
Done	0	2	2
Total	848	9	857

Accuracy

100.0%

Counts

857 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.3%	(fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x))
✓	81.6%	(fma.f64 y (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) y)) (fma.f64 y y (*.f64 x x)))
✓	62.8%	(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.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)))
▶	28.1%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+.f64 (fma.f64 y y y) y))
▶	28.1%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
✓	62.8%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
✓	62.8%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
✓	53.9%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))))

Compiler

Compiled 171 to 93 computations (45.6% saved)

simplify69.0ms (1%)

Memory

-21.9MiB live, 37.9MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	81
0	22	79
1	53	75
2	156	67
3	463	67
4	991	67
5	1813	67
6	2405	67
7	2746	67
8	2807	67
9	2825	67
10	2843	67
11	2843	67
12	2923	67
13	3147	67
0	3147	65

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize54.0ms (0.8%)

Memory

4.3MiB live, 50.6MiB allocated; 3ms collecting garbage

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 #s(literal 2 binary64) y)
accuracy	0.0	(*.f64 x x)
accuracy	0.01171875	(fma.f64 (+.f64 #s(literal 2 binary64) y) y (*.f64 x x))
accuracy	0.0	(fma.f64 y y y)
accuracy	0.01171875	(+.f64 (fma.f64 y y y) y)
accuracy	46.0052397142729	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+.f64 (fma.f64 y y y) y))
accuracy	0.0	(+.f64 #s(literal 2 binary64) y)
accuracy	0.0234375	(*.f64 (+.f64 #s(literal 2 binary64) y) y)
accuracy	46.0052397142729	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y))

Samples

46.0ms

256×

valid

Compiler

Compiled 73 to 15 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-add: 30.0ms (80.2% of total)

ival-mult: 7.0ms (18.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

Counts

8 → 22

Calls

Call 1

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

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

Calls

6 calls:

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

simplify279.0ms (3.9%)

Memory

20.6MiB live, 299.2MiB allocated; 26ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	166
1	163	158
2	558	150
3	3145	144
0	8448	133

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 21

Calls

Call 1

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

rewrite404.0ms (5.6%)

Memory

-21.8MiB live, 431.7MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	72
0	22	70
1	129	66
2	1282	66
0	8503	62

Stop Event

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

Counts

8 → 272

Calls

Call 1

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

Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y)
(*.f64 (+.f64 #s(literal 2 binary64) y) y)
(*.f64 y (+.f64 #s(literal 2 binary64) y))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) (-.f64 (fma.f64 y y y) y)) (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) (-.f64 (fma.f64 y y y) y))) (.f64 (/.f64 (.f64 y y) (-.f64 (fma.f64 y y y) y)) (/.f64 (.f64 y y) (-.f64 (fma.f64 y y y) y)))) (+.f64 (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) (-.f64 (fma.f64 y y y) y)) (/.f64 (*.f64 y y) (-.f64 (fma.f64 y y y) y))))
(/.f64 (-.f64 (.f64 y y) (.f64 (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) y)) y) (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) y)) y))) (+.f64 y (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) y)) y)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (fma.f64 y y y)) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (fma.f64 y y y)) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (fma.f64 y y y)) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (fma.f64 y y y)) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (fma.f64 y y y)) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (fma.f64 y y y)) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 2 binary64) y) (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) (-.f64 (fma.f64 y y y) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y y) (-.f64 (fma.f64 y y y) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) (-.f64 (fma.f64 y y y) y)) (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) (-.f64 (fma.f64 y y y) y)) (fma.f64 (/.f64 (.f64 y y) (-.f64 (fma.f64 y y y) y)) (/.f64 (.f64 y y) (-.f64 (fma.f64 y y y) y)) (.f64 (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) (-.f64 (fma.f64 y y y) y)) (/.f64 (*.f64 y y) (-.f64 (fma.f64 y y y) y))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) y)) y) #s(literal 3 binary64))) (fma.f64 y y (fma.f64 (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) y)) y) (.f64 (neg.f64 (+.f64 #s(literal 1 binary64) y)) y) (.f64 y (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) y)) y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (fma.f64 y y y)) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (fma.f64 y y y)) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (fma.f64 y y y)) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (fma.f64 y y y)) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (-.f64 (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (fma.f64 y y y)) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (fma.f64 y y y)) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (fma.f64 y y y)) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (fma.f64 y y y)) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))))))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 #s(literal 2 binary64) y) (.f64 y y)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 y y)) y)) (neg.f64 (-.f64 #s(literal 2 binary64) y)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64)) y)) (neg.f64 (fma.f64 y (-.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (.f64 y (-.f64 #s(literal 4 binary64) (.f64 y y)))) (neg.f64 (-.f64 #s(literal 2 binary64) y)))
(/.f64 (neg.f64 (*.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64)))) (neg.f64 (fma.f64 y (-.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (fma.f64 y y y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (.f64 (.f64 y y) (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 y y y) y))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y (fma.f64 y y y)) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (neg.f64 (.f64 y (-.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) (-.f64 (fma.f64 y y y) y)) (.f64 (-.f64 (fma.f64 y y y) y) (.f64 y y))) (.f64 (-.f64 (fma.f64 y y y) y) (-.f64 (fma.f64 y y y) y)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (fma.f64 y y y)) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))) (.f64 (fma.f64 y (-.f64 y (fma.f64 y y y)) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64)))) (.f64 (fma.f64 y (-.f64 y (fma.f64 y y y)) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))) (fma.f64 y (-.f64 y (fma.f64 y y y)) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 y y)) y) (-.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64)) y) (fma.f64 y (-.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (.f64 y (-.f64 #s(literal 4 binary64) (.f64 y y))) (-.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 y (-.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (.f64 y (-.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))) (-.f64 y (fma.f64 y y y)))
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eval85.0ms (1.2%)

Memory: -1.0MiB live, 92.5MiB allocated; 4ms collecting garbage
Compiler: Compiled 8 848 to 888 computations (90% saved)

prune32.0ms (0.5%)

Memory

-23.7MiB live, 23.3MiB allocated; 3ms collecting garbage

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	253	3	256
Fresh	0	0	0
Picked	1	2	3
Done	0	6	6
Total	254	11	265

Accuracy

100.0%

Counts

265 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.0%	(fma.f64 #s(approx (+ 2 y) #s(literal 2 binary64)) y (*.f64 x x))
✓	81.6%	(fma.f64 y (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) y)) (fma.f64 y y (*.f64 x x)))
✓	62.8%	(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.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)))
✓	28.1%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+.f64 (fma.f64 y y y) y))
✓	28.1%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
✓	62.8%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
	5.9%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(approx (+ 2 y) #s(literal 2 binary64)) y))
✓	62.8%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
✓	53.9%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))))
	36.7%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (* (+ 2 y) y) (*.f64 y y)))

Compiler

Compiled 563 to 187 computations (66.8% saved)

regimes24.0ms (0.3%)

Memory

28.4MiB live, 28.4MiB allocated; 0ms collecting garbage

Counts

17 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (* (+ 2 y) y) (*.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(approx (+ 2 y) #s(literal 2 binary64)) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 (+.f64 #s(literal 2 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+.f64 (fma.f64 y y y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) y)))
(fma.f64 #s(approx (+ 2 y) #s(literal 2 binary64)) y (*.f64 x x))
(fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (*.f64 y y)))
(fma.f64 (+.f64 #s(literal 2 binary64) 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)))
(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))
(fma.f64 y (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) y)) (fma.f64 y y (*.f64 x x)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 y y)) (sqrt.f64 (pow.f64 y #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 y y (.f64 #s(literal 2 binary64) (.f64 y y))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.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)))))))

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

Calls

5 calls:

5.0ms	y
5.0ms	x
5.0ms	(+.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
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)

regimes43.0ms (0.6%)

Memory

-26.6MiB live, 24.4MiB allocated; 4ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

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:

29.0ms	x
4.0ms	y
3.0ms	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))
3.0ms	(*.f64 y y)
3.0ms	(*.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)

regimes16.0ms (0.2%)

Memory

27.8MiB live, 27.8MiB allocated; 0ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
72.1%	2	`(*.f64 y y)`
90.4%	2	`(*.f64 x x)`
83.1%	4	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
90.4%	2	`x`
72.1%	2	`y`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes29.0ms (0.4%)

Memory

-33.8MiB live, 12.8MiB allocated; 2ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

26.0ms	x
3.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
83.8%	2	`(*.f64 x x)`
83.8%	2	`x`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes6.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated; 0ms collecting garbage

Counts

8 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
83.8%	2	`(*.f64 x x)`
83.8%	2	`x`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes13.0ms (0.2%)

Memory

22.3MiB live, 22.3MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	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
62.8%	1	`(*.f64 y y)`
62.8%	1	`y`
62.8%	1	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
62.8%	1	`(*.f64 x x)`
62.8%	1	`x`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes23.0ms (0.3%)

Memory

-30.6MiB live, 16.4MiB allocated; 3ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
62.8%	1	`(*.f64 y y)`
62.8%	1	`y`
62.8%	1	`(*.f64 x x)`
62.8%	1	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
62.8%	1	`x`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes9.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated; 0ms collecting garbage

Accuracy

Total -19.9b remaining (-49.1%)

Threshold costs -19.9b (-49.1%)

Counts

4 → 1

Calls

Call 1

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

Outputs
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (* (+ 2 y) y) (*.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)
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
36.7%	1	`y`
36.7%	1	`(*.f64 x x)`
36.7%	1	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
36.7%	1	`(*.f64 y y)`
36.7%	1	`x`

Compiler

Compiled 23 to 17 computations (26.1% saved)

bsearch11.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.29496571988738e-18	2.294987488418599e-16

Samples

5.0ms

112×

valid

Compiler

Compiled 186 to 131 computations (29.6% saved)

Precisions

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

ival-add: 1.0ms (36.5% of total)

ival-mult: 1.0ms (36.5% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch43.0ms (0.6%)

Memory

-27.1MiB live, 20.4MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
41.0ms	1.4791600218586952e+49	2.3169484458506233e+54

Samples

35.0ms

144×

valid

Compiler

Compiled 252 to 183 computations (27.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-add: 30.0ms (93% of total)

ival-mult: 2.0ms (6.2% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.4791600218586952e+49	2.3169484458506233e+54

Compiler

Compiled 297 to 201 computations (32.3% saved)

simplify92.0ms (1.3%)

Memory

-2.5MiB live, 60.8MiB allocated; 47ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	195
1	63	185
2	153	175
3	389	175
4	793	175
5	1204	175
6	1990	175
7	7396	175

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) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)))
(if (<=.f64 x #s(literal 8826904659509207/2596148429267413814265248164610048 binary64)) (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (.f64 y y))) (fma.f64 (+.f64 #s(literal 2 binary64) y) y (.f64 x x)))
(if (<=.f64 x #s(literal 17999999999999999815669513836091372033944796004352 binary64)) (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (.f64 y y))) (fma.f64 #s(approx (+ 2 y) #s(literal 2 binary64)) y (.f64 x x)))
(if (<=.f64 x #s(literal 17999999999999999815669513836091372033944796004352 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y)) (fma.f64 #s(approx (+ 2 y) #s(literal 2 binary64)) y (*.f64 x x)))
#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)) (.f64 #s(literal 3 binary64) (.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (* (+ 2 y) y) (*.f64 y y)))

Outputs
(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)))
(if (<=.f64 x #s(literal 8826904659509207/2596148429267413814265248164610048 binary64)) (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (.f64 y y))) (fma.f64 (+.f64 #s(literal 2 binary64) y) y (.f64 x x)))
(if (<=.f64 x #s(literal 17999999999999999815669513836091372033944796004352 binary64)) (fma.f64 y (+.f64 y y) #s(approx (+ (* y y) (* x x)) (.f64 y y))) (fma.f64 #s(approx (+ 2 y) #s(literal 2 binary64)) y (.f64 x x)))
(if (<=.f64 x #s(literal 17999999999999999815669513836091372033944796004352 binary64)) #s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y)) (fma.f64 #s(approx (+ 2 y) #s(literal 2 binary64)) y (*.f64 x x)))
#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)) (.f64 #s(literal 3 binary64) (.f64 y y)))
#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) #s(approx (* (+ 2 y) y) (*.f64 y y)))

derivations1.5s (20.5%)

Memory

21.8MiB live, 977.5MiB allocated; 86ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	121
1	93	105
2	321	105
3	2169	105
0	8459	95
0	119	470
1	377	457
2	1553	446
3	7838	446
0	8098	418
0	49	166
1	163	158
2	558	150
3	3145	144
0	8448	133
0	29	153
0	47	134
1	211	117
0	2261	112
0	37	285
0	64	166
1	301	154
2	2800	154
0	10972	152
0	7	39
0	12	39
1	66	35
2	720	35
0	9413	31

Stop Event

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

Compiler

Compiled 195 to 40 computations (79.5% saved)

preprocess140.0ms (1.9%)

Memory

-28.7MiB live, 106.6MiB allocated; 17ms collecting garbage

Remove

(abs x)

(abs y)

Compiler

Compiled 486 to 132 computations (72.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (15%)

explain130.0ms (1.8%)

preprocess102.0ms (1.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify53.0ms (0.7%)

localize21.0ms (0.3%)

series5.0ms (0.1%)

simplify255.0ms (3.5%)

rewrite180.0ms (2.5%)

eval138.0ms (1.9%)

prune40.0ms (0.6%)

simplify218.0ms (3%)

localize93.0ms (1.3%)

series49.0ms (0.7%)

simplify143.0ms (2%)

rewrite536.0ms (7.4%)

eval399.0ms (5.6%)

prune40.0ms (0.6%)

simplify184.0ms (2.6%)

localize71.0ms (1%)

series39.0ms (0.5%)

simplify176.0ms (2.4%)

rewrite173.0ms (2.4%)

eval181.0ms (2.5%)

prune31.0ms (0.4%)

simplify69.0ms (1%)

localize54.0ms (0.8%)

series5.0ms (0.1%)

simplify279.0ms (3.9%)

rewrite404.0ms (5.6%)

eval85.0ms (1.2%)

prune32.0ms (0.5%)

regimes24.0ms (0.3%)

regimes43.0ms (0.6%)

regimes16.0ms (0.2%)

regimes29.0ms (0.4%)

regimes6.0ms (0.1%)

regimes13.0ms (0.2%)

regimes23.0ms (0.3%)

regimes9.0ms (0.1%)

bsearch11.0ms (0.1%)

bsearch43.0ms (0.6%)

bsearch1.0ms (0%)

simplify92.0ms (1.3%)

derivations1.5s (20.5%)

preprocess140.0ms (1.9%)

end0.0ms (0%)

Profiling