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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

sample982.0ms (26.6%)

Memory

3.7MiB live, 1 319.6MiB allocated; 395ms collecting garbage

Samples

638.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 456.0ms

ival-mult: 341.0ms (74.8% of total)

ival-add: 104.0ms (22.8% of total)

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

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

adjust: 2.0ms (0.4% of total)

Bogosity

explain128.0ms (3.5%)

Memory

15.2MiB live, 155.8MiB allocated; 30ms 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

32.0ms

512×

valid

Compiler

Compiled 101 to 25 computations (75.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-add: 10.0ms (54.1% of total)

ival-mult: 7.0ms (37.9% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess113.0ms (3.1%)

Memory

-8.2MiB live, 76.2MiB allocated; 24ms 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: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune2.0ms (0.1%)

Memory

3.9MiB live, 3.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 15 to 7 computations (53.3% saved)

simplify34.0ms (0.9%)

Memory

-28.7MiB live, 44.1MiB allocated; 21ms 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

localize22.0ms (0.6%)

Memory

14.1MiB live, 14.1MiB 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	0.05859375	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))

Samples

13.0ms

256×

valid

Compiler

Compiled 43 to 9 computations (79.1% saved)

Precisions

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

ival-add: 3.0ms (46.1% of total)

ival-mult: 3.0ms (46.1% 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

7.8MiB live, 7.8MiB 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))

simplify210.0ms (5.7%)

Memory

2.3MiB live, 235.3MiB allocated; 49ms 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))

rewrite173.0ms (4.7%)

Memory

5.2MiB live, 240.6MiB allocated; 25ms 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))))

eval62.0ms (1.7%)

Memory: 1.1MiB live, 145.3MiB allocated; 26ms collecting garbage
Compiler: Compiled 12 610 to 1 332 computations (89.4% saved)

prune48.0ms (1.3%)

Memory

-16.1MiB live, 29.5MiB allocated; 6ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

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

Accuracy

100.0%

Counts

468 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
▶	90.6%	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) (*.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)))
▶	53.5%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))

Compiler

Compiled 72 to 39 computations (45.8% saved)

simplify58.0ms (1.6%)

Memory

13.6MiB live, 58.9MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	148
0	39	134
1	79	133
2	237	127
3	605	127
4	1049	127
5	1326	127
6	1572	127
7	1662	127
8	1742	127
0	1742	124

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

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

localize98.0ms (2.7%)

Memory

3.3MiB live, 158.6MiB allocated; 23ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 y y (*.f64 x x))
accuracy	0.0	(+.f64 y y)
accuracy	0.0	(*.f64 x x)
accuracy	0.0234375	(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(+.f64 (+.f64 (.f64 x x) (.f64 y y)) (sqrt.f64 (pow.f64 y #s(literal 4 binary64))))
accuracy	0.05859375	(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y))
accuracy	15.018424818308908	(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	0.0625	(fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x))
accuracy	0.0	(*.f64 y y)
accuracy	0.1328125	(.f64 #s(literal 3 binary64) (.f64 y y))
accuracy	29.69852877084384	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))

Samples

69.0ms

256×

valid

Compiler

Compiled 139 to 23 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-add: 31.0ms (55.6% of total)

ival-mult: 19.0ms (34.1% of total)

ival-pow: 3.0ms (5.4% of total)

ival-sqrt: 2.0ms (3.6% 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)

series36.0ms (1%)

Memory

-10.9MiB live, 33.7MiB allocated; 6ms collecting garbage

Counts

14 → 18

Calls

Call 1

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

Outputs
(+ (* 2 (pow y 2)) (pow y 2))
(+ (* 2 (pow y 2)) (+ (pow x 2) (pow y 2)))
(* 3 (pow y 2))
(+ (* 3 (pow y 2)) (pow x 2))
(pow x 2)
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (pow x 2))
(pow y 2)
(+ (pow x 2) (pow y 2))
(* (pow x 2) (+ 1 (+ (* 2 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* 3 (/ (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 y)
(* 2 y)
(* (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
30.0ms	y	@	inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (* x x) (+ (+ (+ (* x x) (* y y)) (sqrt (pow y 4))) (* y y)) (+ (+ (* x x) (* y y)) (sqrt (pow y 4))) (+ (* x x) (* y y)) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (sqrt (pow y 4)))
2.0ms	y	@	-inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (* x x) (+ (+ (+ (* x x) (* y y)) (sqrt (pow y 4))) (* y y)) (+ (+ (* x x) (* y y)) (sqrt (pow y 4))) (+ (* x x) (* y y)) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (sqrt (pow y 4)))
1.0ms	y	@	0	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (* x x) (+ (+ (+ (* x x) (* y y)) (sqrt (pow y 4))) (* y y)) (+ (+ (* x x) (* y y)) (sqrt (pow y 4))) (+ (* x x) (* y y)) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (sqrt (pow y 4)))
1.0ms	x	@	0	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (* x x) (+ (+ (+ (* x x) (* y y)) (sqrt (pow y 4))) (* y y)) (+ (+ (* x x) (* y y)) (sqrt (pow y 4))) (+ (* x x) (* y y)) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (sqrt (pow y 4)))
1.0ms	x	@	inf	((+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (* 3 (* y y)) (* y y) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* (* 3 y) y) (* x x)) (* 3 y) (* x x) (+ (+ (+ (* x x) (* y y)) (sqrt (pow y 4))) (* y y)) (+ (+ (* x x) (* y y)) (sqrt (pow y 4))) (+ (* x x) (* y y)) (+ (* y (+ y y)) (+ (* y y) (* x x))) (+ y y) (+ (* y y) (* x x)) (sqrt (pow y 4)))

simplify215.0ms (5.8%)

Memory

-6.3MiB live, 284.6MiB allocated; 29ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	140
1	111	120
2	347	120
3	2277	120
0	8931	109

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 18

Calls

Call 1

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

rewrite203.0ms (5.5%)

Memory

4.2MiB live, 236.1MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	126
0	39	108
1	173	102
2	1477	102
0	8512	97

Stop Event

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

Counts

14 → 1 020

Calls

Call 1

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

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

eval178.0ms (4.8%)

Memory: 28.6MiB live, 282.7MiB allocated; 112ms collecting garbage
Compiler: Compiled 21 344 to 2 153 computations (89.9% saved)

prune37.0ms (1%)

Memory

-50.2MiB live, 56.1MiB allocated; 13ms collecting garbage

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	746	3	749
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	747	6	753

Accuracy

100.0%

Counts

753 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
▶	99.9%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x)))
✓	99.9%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)))
▶	53.5%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
✓	53.5%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
▶	47.8%	#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 123 to 65 computations (47.2% saved)

simplify28.0ms (0.8%)

Memory

29.6MiB live, 29.6MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	110
0	29	110
1	56	104
2	156	89
3	412	89
4	829	89
5	1091	89
6	1317	89
7	1407	89
8	1487	89
0	1487	89

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

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

localize79.0ms (2.2%)

Memory

-11.4MiB live, 75.7MiB allocated; 14ms collecting garbage

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y y)
accuracy	0.0	(*.f64 x x)
accuracy	0.0	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x)))
accuracy	0.08203125	(fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x))
accuracy	0.0	(*.f64 #s(literal 3 binary64) y)
accuracy	0.1171875	(.f64 (.f64 #s(literal 3 binary64) y) y)
accuracy	29.69852877084384	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
accuracy	0.0	(pow.f64 y #s(literal 4 binary64))
accuracy	0.1328125	(*.f64 #s(literal 3 binary64) (sqrt.f64 (pow.f64 y #s(literal 4 binary64))))
accuracy	15.018424818308908	(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
accuracy	29.69852877084384	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (*.f64 #s(literal 3 binary64) (sqrt.f64 (pow.f64 y #s(literal 4 binary64)))))

Samples

69.0ms

256×

valid

Compiler

Compiled 91 to 18 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 41.0ms (77% of total)

ival-add: 6.0ms (11.3% of total)

ival-pow: 3.0ms (5.6% of total)

ival-sqrt: 2.0ms (3.8% 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)

series6.0ms (0.2%)

Memory

14.8MiB live, 14.8MiB allocated; 0ms collecting garbage

Counts

11 → 11

Calls

Call 1

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

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

Calls

6 calls:

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

simplify181.0ms (4.9%)

Memory

4.8MiB live, 280.4MiB allocated; 84ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	87
1	75	67
2	241	67
3	1605	67
4	7563	67
0	8158	62

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 11

Calls

Call 1

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

rewrite216.0ms (5.8%)

Memory

-4.7MiB live, 287.5MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	102
0	29	99
1	110	93
2	961	93
0	8998	87

Stop Event

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

Counts

11 → 202

Calls

Call 1

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

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

eval44.0ms (1.2%)

Memory: -7.1MiB live, 58.2MiB allocated; 8ms collecting garbage
Compiler: Compiled 5 611 to 639 computations (88.6% saved)

prune25.0ms (0.7%)

Memory

-0.9MiB live, 43.8MiB allocated; 3ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	169	6	175

Accuracy

100.0%

Counts

175 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y (+.f64 y y) (fma.f64 y y (*.f64 x x)))
✓	99.9%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 y y) #s(literal 3 binary64) (.f64 x x)))
✓	99.9%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (fma.f64 (.f64 #s(literal 3 binary64) y) y (.f64 x x)))
✓	53.5%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 (.f64 #s(literal 3 binary64) y) y))
✓	53.5%	#s(approx (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (.f64 #s(literal 3 binary64) (.f64 y y)))
✓	47.8%	#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 277 to 97 computations (65% saved)

regimes16.0ms (0.4%)

Memory

-1.4MiB live, 44.5MiB allocated; 3ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	y
3.0ms	x
3.0ms	(+.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
100.0%	1	`(*.f64 y y)`
100.0%	1	`(*.f64 x x)`
100.0%	1	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes10.0ms (0.3%)

Memory

-21.5MiB live, 24.8MiB allocated; 1ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes6.0ms (0.2%)

Memory

21.8MiB live, 21.8MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0b (-0.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
53.5%	1	`(*.f64 y y)`
53.5%	1	`(*.f64 x x)`
53.5%	1	`(+.f64 (+.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 y y)) (.f64 y y))`
53.5%	1	`x`
53.5%	1	`y`

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify54.0ms (1.5%)

Memory

3.7MiB live, 101.5MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	56
1	36	52
2	111	48
3	317	48
4	704	48
5	1111	48
6	2180	48
7	6114	48

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)))

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

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

derivations281.0ms (7.6%)

Memory

15.8MiB live, 250.1MiB allocated; 34ms 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
0	30	121
1	93	105
2	321	105
3	2169	105
0	8459	95

Stop Event

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

Compiler

Compiled 56 to 18 computations (67.9% saved)

preprocess134.0ms (3.6%)

Memory

-10.3MiB live, 145.9MiB allocated; 16ms collecting garbage

Remove

(abs x)

(abs y)

Compiler

Compiled 208 to 88 computations (57.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample982.0ms (26.6%)

explain128.0ms (3.5%)

preprocess113.0ms (3.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

simplify34.0ms (0.9%)

localize22.0ms (0.6%)

series5.0ms (0.1%)

simplify210.0ms (5.7%)

rewrite173.0ms (4.7%)

eval62.0ms (1.7%)

prune48.0ms (1.3%)

simplify58.0ms (1.6%)

localize98.0ms (2.7%)

series36.0ms (1%)

simplify215.0ms (5.8%)

rewrite203.0ms (5.5%)

eval178.0ms (4.8%)

prune37.0ms (1%)

simplify28.0ms (0.8%)

localize79.0ms (2.2%)

series6.0ms (0.2%)

simplify181.0ms (4.9%)

rewrite216.0ms (5.8%)

eval44.0ms (1.2%)

prune25.0ms (0.7%)

regimes16.0ms (0.4%)

regimes10.0ms (0.3%)

regimes6.0ms (0.2%)

simplify54.0ms (1.5%)

derivations281.0ms (7.6%)

preprocess134.0ms (3.6%)

end0.0ms (0%)

Profiling