Metrics for Graphics.Rasterific.Linear:$cquadrance from Rasterific-0.6.1

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

1.3MiB live, 1.3MiB 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 9 to 7 computations (22.2% saved)

sample990.0ms (46.4%)

Memory

2.9MiB live, 1 179.8MiB allocated; 315ms collecting garbage

Samples

689.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 288.0ms

ival-mult: 241.0ms (83.8% of total)

ival-add: 35.0ms (12.2% of total)

ival-true: 6.0ms (2.1% of total)

ival-assert: 3.0ms (1% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

explain114.0ms (5.3%)

Memory

4.2MiB live, 93.3MiB allocated; 27ms collecting garbage

FPErrors

Click to see full error table

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

22.0ms

512×

valid

Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 7.0ms (71.2% of total)

ival-add: 2.0ms (20.3% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess16.0ms (0.8%)

Memory

33.9MiB live, 33.9MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	37
1	43	37
2	91	37
3	115	37
4	147	37
0	5	7
0	8	7
1	19	7
2	58	7
3	115	7
4	152	7
0	152	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

(abs x)

(sort x y)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify0.0ms (0%)

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

series23.0ms (1.1%)

Memory

-37.2MiB live, 8.1MiB allocated; 12ms collecting garbage

Counts

5 → 7

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
19.0ms	y	@	-inf	((+ (* x x) (* y y)) (* x x) x (* y y) y)
1.0ms	x	@	inf	((+ (* x x) (* y y)) (* x x) x (* y y) y)
1.0ms	x	@	-inf	((+ (* x x) (* y y)) (* x x) x (* y y) y)
1.0ms	y	@	inf	((+ (* x x) (* y y)) (* x x) x (* y y) y)
1.0ms	x	@	0	((+ (* x x) (* y y)) (* x x) x (* y y) y)

simplify164.0ms (7.7%)

Memory

0.1MiB live, 147.0MiB allocated; 25ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	35	29
2	117	29
3	830	29
4	4007	29
5	7503	29
0	8364	26

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 5

Calls

Call 1

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

Outputs
(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)
x
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
y
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))

rewrite165.0ms (7.7%)

Memory

38.7MiB live, 187.9MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	35	15
2	329	15
3	5745	15
0	9434	14

Stop Event

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

Counts

5 → 136

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x (.f64 y y)))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (.f64 y x) #s(literal 4 binary64))))) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 (.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (-.f64 x y) (+.f64 y x))
(*.f64 (+.f64 y x) (neg.f64 (-.f64 x y)))
(*.f64 (+.f64 y x) (-.f64 y x))
(*.f64 (+.f64 y x) (-.f64 x y))
(.f64 (fma.f64 x x (.f64 y y)) (/.f64 (fma.f64 x x (.f64 y y)) (fma.f64 x x (.f64 y y))))
(.f64 (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (fma.f64 x x (.f64 y y)) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 y x)) (-.f64 x y))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (.f64 y y))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (.f64 y y))) #s(literal 2 binary64))) (fma.f64 x x (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64))) (fma.f64 x x (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (.f64 y y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (.f64 y y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (.f64 y y))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (*.f64 y y)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (.f64 y y))) (.f64 (fma.f64 x x (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 6 binary64)))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (.f64 y x) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 (fma.f64 x x (*.f64 y y)) #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (.f64 y x) #s(literal 4 binary64)))) (fma.f64 x x (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 x #s(literal 18 binary64))) (.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (.f64 y x) #s(literal 6 binary64))) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x (*.f64 y y)))
(neg.f64 (fma.f64 x x (*.f64 y y)))
(fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (.f64 y x) #s(literal 4 binary64))))) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (*.f64 y y))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x (.f64 y y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (.f64 y y))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (.f64 y x) #s(literal 4 binary64))))) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (fma.f64 x x (.f64 y y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 y x)) (/.f64 x (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (*.f64 y y))))
(fma.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (*.f64 y y))))
(fma.f64 (/.f64 x (+.f64 y x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (*.f64 y y))))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 y y))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (fma.f64 x x (.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (.f64 y y))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (fma.f64 x x (.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (.f64 y y))))
(fma.f64 (.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (.f64 y y) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(fma.f64 (.f64 y y) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(fma.f64 y y (*.f64 x x))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (.f64 y y))))
(fma.f64 x x (*.f64 y y))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (.f64 y y))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (.f64 y y))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (.f64 y y))))
(-.f64 (.f64 x x) (.f64 y y))
(-.f64 (.f64 y y) (.f64 x x))
(+.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 x x) (fma.f64 x x (.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 x x (.f64 y y))))
(+.f64 (.f64 x x) (.f64 y y))
(+.f64 (.f64 y y) (.f64 x x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 x x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 x x))
(exp.f64 (+.f64 (/.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (/.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1 binary64) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (/.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 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 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 1 binary64))
(neg.f64 x)
(sqrt.f64 (*.f64 x x))
(fabs.f64 x)
(exp.f64 (.f64 (/.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(+.f64 (cosh.f64 (/.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 1 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 1 binary64))))
x
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 y y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(fabs.f64 (*.f64 y y))
(exp.f64 (+.f64 (/.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (/.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 y) #s(literal 1 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 1 binary64) (*.f64 (log.f64 y) #s(literal 1 binary64))))
(exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 y)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (/.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 y))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 (log.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (log.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 1 binary64))
(pow.f64 (*.f64 y y) #s(literal 1/2 binary64))
(pow.f64 y #s(literal 1 binary64))
(neg.f64 y)
(sqrt.f64 (*.f64 y y))
(fabs.f64 y)
(exp.f64 (.f64 (/.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(+.f64 (cosh.f64 (/.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 1 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 1 binary64))))
y

eval42.0ms (2%)

Memory: -25.4MiB live, 64.2MiB allocated; 8ms collecting garbage
Compiler: Compiled 3 009 to 485 computations (83.9% saved)

prune3.0ms (0.1%)

Memory

18.8MiB live, 18.8MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	173	2	175
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	174	2	176

Accuracy

100.0%

Counts

176 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y y (*.f64 x x))
▶	99.4%	#s(approx (+ (* x x) (* y y)) (*.f64 y y))

Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

series3.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated; 0ms collecting garbage

Counts

6 → 7

Calls

Call 1

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

Outputs
(pow y 2)
(+ (pow x 2) (pow y 2))
(pow x 2)
x
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
y
(* (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 y) (* x x)) (* x x) x)
1.0ms	y	@	-inf	((+ (* x x) (* y y)) (* y y) y (+ (* y y) (* x x)) (* x x) x)
1.0ms	y	@	inf	((+ (* x x) (* y y)) (* y y) y (+ (* y y) (* x x)) (* x x) x)
1.0ms	x	@	-inf	((+ (* x x) (* y y)) (* y y) y (+ (* y y) (* x x)) (* x x) x)
0.0ms	x	@	0	((+ (* x x) (* y y)) (* y y) y (+ (* y y) (* x x)) (* x x) x)

simplify129.0ms (6%)

Memory

-26.8MiB live, 215.6MiB allocated; 38ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	35	29
2	117	29
3	830	29
4	4007	29
5	7503	29
0	8364	26

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 5

Calls

Call 1

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

Outputs
(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)
x
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
y
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))

rewrite73.0ms (3.4%)

Memory

20.3MiB live, 113.5MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
0	11	24
1	47	24
2	478	24
3	7884	24
0	8055	24

Stop Event

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

Counts

6 → 202

Calls

Call 1

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

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

eval37.0ms (1.8%)

Memory: -21.0MiB live, 73.1MiB allocated; 14ms collecting garbage
Compiler: Compiled 5 264 to 612 computations (88.4% saved)

prune4.0ms (0.2%)

Memory

17.2MiB live, 17.2MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	264	0	264
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	264	2	266

Accuracy

100.0%

Counts

266 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y y (*.f64 x x))
✓	99.4%	#s(approx (+ (* x x) (* y y)) (*.f64 y y))

Compiler

Compiled 41 to 21 computations (48.8% saved)

regimes9.0ms (0.4%)

Memory

-26.8MiB live, 19.3MiB allocated; 4ms collecting garbage

Counts

3 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	(*.f64 x x)
2.0ms	(*.f64 y y)
1.0ms	x
1.0ms	y
1.0ms	(+.f64 (.f64 x x) (.f64 y y))

Results

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

Compiler

Compiled 15 to 15 computations (0% saved)

regimes5.0ms (0.2%)

Memory

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

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
99.4%	1	`(*.f64 y y)`
99.4%	1	`(*.f64 x x)`
99.4%	1	`(+.f64 (.f64 x x) (.f64 y y))`
99.4%	1	`x`
99.4%	1	`y`

Compiler

Compiled 15 to 15 computations (0% saved)

simplify10.0ms (0.5%)

Memory

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

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	20	17
2	59	17
3	116	17
4	153	17

Stop Event

1×

saturated

Calls

Call 1

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

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

derivations326.0ms (15.3%)

Memory

-23.7MiB live, 178.5MiB allocated; 127ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	35	15
2	329	15
3	5745	15
0	9434	14
0	13	29
1	35	29
2	117	29
3	830	29
4	4007	29
5	7503	29
0	8364	26

Stop Event

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

Compiler

Compiled 17 to 9 computations (47.1% saved)

preprocess21.0ms (1%)

Memory

-2.4MiB live, 43.4MiB allocated; 5ms collecting garbage

Remove

(sort x y)

(abs x)

(abs y)

Compiler

Compiled 84 to 52 computations (38.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample990.0ms (46.4%)

explain114.0ms (5.3%)

preprocess16.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

series23.0ms (1.1%)

simplify164.0ms (7.7%)

rewrite165.0ms (7.7%)

eval42.0ms (2%)

prune3.0ms (0.1%)

simplify0.0ms (0%)

series3.0ms (0.1%)

simplify129.0ms (6%)

rewrite73.0ms (3.4%)

eval37.0ms (1.8%)

prune4.0ms (0.2%)

regimes9.0ms (0.4%)

regimes5.0ms (0.2%)

simplify10.0ms (0.5%)

derivations326.0ms (15.3%)

preprocess21.0ms (1%)

end0.0ms (0%)

Profiling