Metrics for Numeric.Log:$clog1p from log-domain-0.10.2.1, A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample568.0ms (23.3%)

Memory

227.5MiB live, 227.5MiB allocated

Samples

361.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 219.0ms

ival-mult: 142.0ms (64.7% of total)

ival-add: 64.0ms (29.2% of total)

ival-true: 6.0ms (2.7% of total)

exact: 4.0ms (1.8% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

explain102.0ms (4.2%)

Memory

58.5MiB live, 58.5MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
-	-	`(*.f64 x #s(literal 2 binary64))`
-	-	`#s(literal 2 binary64)`
-	-	`y`
-	-	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
-	-	`(*.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

28.0ms

512×

valid

Compiler

Compiled 135 to 50 computations (63% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 9.0ms (63.2% of total)

ival-add: 4.0ms (28.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess32.0ms (1.3%)

Memory

5.8MiB live, 5.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	51
1	68	49
2	215	46
3	578	45
4	1132	45
5	1396	45
6	1445	45
0	8	11
0	13	9
1	20	9
2	30	9
3	32	9
0	32	8

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify3.0ms (0.1%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	128	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
cost-diff	320	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
0	13	26
1	20	26
2	30	26
3	32	26
0	32	25

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize19.0ms (0.8%)

Memory

8.8MiB live, 8.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0	(*.f64 x x)
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	0.0078125	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))

Samples

13.0ms

256×

valid

Compiler

Compiled 62 to 18 computations (71% saved)

Precisions

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

ival-mult: 4.0ms (58.7% of total)

ival-add: 2.0ms (29.3% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.2%)

Memory

2.4MiB live, 2.4MiB allocated

Counts

5 → 12

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x) (* y y))
1.0ms	x	@	inf	((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x) (* y y))
1.0ms	x	@	0	((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x) (* y y))
0.0ms	y	@	inf	((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x) (* y y))
0.0ms	y	@	-inf	((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x) (* y y))

simplify108.0ms (4.4%)

Memory

27.1MiB live, 27.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	76
1	101	76
2	272	76
3	913	76
4	2767	76
5	4867	76
6	7666	76
0	8409	70

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 12

Calls

Call 1

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

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

rewrite132.0ms (5.4%)

Memory

47.6MiB live, 47.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
0	13	23
1	47	23
2	406	23
3	6148	23
0	8102	22

Stop Event

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

Counts

5 → 219

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (.f64 #s(literal 4 binary64) x) x (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) x))))
(.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x (-.f64 x #s(literal 2 binary64))))))
(.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (.f64 x x))) (*.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x)))) (.f64 (+.f64 #s(literal 2 binary64) x) x))
(.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) x) (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) (-.f64 #s(literal 2 binary64) x)))
(.f64 (.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 4 binary64))) (pow.f64 (*.f64 x (-.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal -1 binary64)) (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x x))))
(.f64 (pow.f64 (.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 2 binary64) x) x))
(.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x)))) (pow.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (neg.f64 (.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x))) (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (pow.f64 (.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (/.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (.f64 (-.f64 #s(literal 2 binary64) x) x)))
(.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal -1 binary64))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow.f64 (/.f64 (.f64 x (-.f64 x #s(literal 2 binary64))) (.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 1 binary64))
(/.f64 (.f64 (-.f64 #s(literal 4 binary64) (.f64 x x)) x) (-.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 x x) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (*.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal -1 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64))) (pow.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 9 binary64))))))
(/.f64 (.f64 x (-.f64 #s(literal 4 binary64) (.f64 x x))) (-.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 x (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (.f64 (/.f64 (.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x)))) (.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)))) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (.f64 (/.f64 (.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (fma.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x))))))
(/.f64 (/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x x))) x) (-.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 (.f64 x x) #s(literal 4 binary64)))) (neg.f64 (.f64 x (-.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x))))) (neg.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 8 binary64)))) (.f64 (-.f64 #s(literal 2 binary64) x) x)))
(/.f64 (.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 9 binary64))))) (.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 (.f64 x x) (-.f64 #s(literal 4 binary64) (.f64 x x))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 2 binary64) x) x))
(/.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
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(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
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(fma.f64 (pow.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 (+.f64 #s(literal 2 binary64) x) x)))))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) (.f64 y y))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (pow.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))) (*.f64 y y))
(fma.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 y y))
(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(fma.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (/.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (.f64 (-.f64 #s(literal 2 binary64) x) x)) (.f64 y y))
(fma.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x)))))
(fma.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (pow.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) #s(literal -1 binary64))) (*.f64 y y))
(fma.f64 (.f64 x x) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 (+.f64 #s(literal 2 binary64) x) x)))))
(fma.f64 #s(literal 2 binary64) x (fma.f64 y y (*.f64 x x)))
(fma.f64 x (/.f64 (.f64 (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 (+.f64 #s(literal 2 binary64) x) x)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (*.f64 y y))
(fma.f64 x #s(literal 2 binary64) (fma.f64 y y (*.f64 x x)))
(fma.f64 x x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
(-.f64 (fma.f64 y y (.f64 (/.f64 (.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x)))) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 y y) (.f64 (+.f64 #s(literal 2 binary64) x) x))) (/.f64 (pow.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (-.f64 (.f64 y y) (*.f64 (+.f64 #s(literal 2 binary64) x) x))))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (.f64 y y))) (/.f64 (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 #s(literal 2 binary64) x) x) (*.f64 y y))))
(-.f64 (/.f64 (pow.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 (+.f64 #s(literal 2 binary64) x) x))))
(-.f64 (.f64 (/.f64 (.f64 #s(literal 4 binary64) x) x) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 2 binary64) x)) (*.f64 y y)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x (.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (fma.f64 y y (.f64 #s(literal 2 binary64) x)) (.f64 x x))
(+.f64 (/.f64 (pow.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) y (.f64 (+.f64 #s(literal 2 binary64) x) x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 (+.f64 #s(literal 2 binary64) x) x)))))
(+.f64 (fma.f64 y y (.f64 x x)) (.f64 #s(literal 2 binary64) x))
(+.f64 (.f64 y y) (.f64 (+.f64 #s(literal 2 binary64) x) x))
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) x) x) (.f64 y y))
(+.f64 (.f64 x x) (fma.f64 y y (.f64 #s(literal 2 binary64) x)))
(+.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 y y (.f64 x x)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(*.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 x #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 (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 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #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)))

eval20.0ms (0.8%)

Memory: 17.7MiB live, 17.7MiB allocated
Compiler: Compiled 5 970 to 689 computations (88.5% saved)

prune5.0ms (0.2%)

Memory

9.5MiB live, 9.5MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	221	5	226
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	222	5	227

Accuracy

100.0%

Counts

227 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
▶	100.0%	(fma.f64 x x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
▶	66.9%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
▶	57.2%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
▶	51.2%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))

Compiler

Compiled 134 to 92 computations (31.3% saved)

simplify4.0ms (0.2%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 #s(literal 2 binary64) x)
cost-diff	0	(*.f64 (+.f64 #s(literal 2 binary64) x) x)
cost-diff	0	(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
cost-diff	0	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
cost-diff	0	(-.f64 x #s(literal -2 binary64))
cost-diff	0	(*.f64 (-.f64 x #s(literal -2 binary64)) x)
cost-diff	0	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
cost-diff	0	(*.f64 y y)
cost-diff	0	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
cost-diff	192	(fma.f64 x x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	116
0	32	108
1	47	106
2	50	106
0	50	106

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize38.0ms (1.6%)

Memory

19.0MiB live, 19.0MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
accuracy	0	(+.f64 #s(literal 2 binary64) x)
accuracy	0.01953125	(*.f64 (+.f64 #s(literal 2 binary64) x) x)
accuracy	0	(*.f64 y y)
accuracy	0.01171875	(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
accuracy	21.170402060853483	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
accuracy	0	(-.f64 x #s(literal -2 binary64))
accuracy	0.01953125	(*.f64 (-.f64 x #s(literal -2 binary64)) x)
accuracy	27.36819635035964	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
accuracy	0	(*.f64 y y)
accuracy	31.25622176514577	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
accuracy	0	(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
accuracy	0	(fma.f64 x x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
accuracy	0	(*.f64 #s(literal 2 binary64) x)

Samples

27.0ms

256×

valid

Compiler

Compiled 222 to 43 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 8.0ms (48.1% of total)

ival-add: 7.0ms (42.1% of total)

ival-sub: 1.0ms (6% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.2%)

Memory

3.1MiB live, 3.1MiB allocated

Counts

13 → 20

Calls

Call 1

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

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

Calls

6 calls:

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

simplify103.0ms (4.2%)

Memory

33.7MiB live, 33.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	114
1	143	114
2	391	114
3	1427	114
4	4033	114
0	8064	104

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 19

Calls

Call 1

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

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

rewrite124.0ms (5.1%)

Memory

53.8MiB live, 53.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	101
0	32	93
1	145	91
2	1142	91
0	8210	91

Stop Event

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

Counts

13 → 593

Calls

Call 1

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

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

eval29.0ms (1.2%)

Memory: 25.9MiB live, 25.9MiB allocated
Compiler: Compiled 9 281 to 1 003 computations (89.2% saved)

prune6.0ms (0.2%)

Memory

12.7MiB live, 12.7MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	315	4	319
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	317	7	324

Accuracy

100.0%

Counts

324 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
▶	66.9%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
▶	57.2%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (*.f64 #s(literal 2 binary64) x)))
✓	57.2%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
▶	18.3%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x))
✓	51.2%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
▶	42.0%	#s(approx (+ (* x x) (+ (* y y) (* 2 x))) (*.f64 x x))

Compiler

Compiled 110 to 76 computations (30.9% saved)

simplify4.0ms (0.1%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
cost-diff	0	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (*.f64 #s(literal 2 binary64) x)))
cost-diff	192	(fma.f64 x x (*.f64 #s(literal 2 binary64) x))
cost-diff	0	#s(approx (- x -2) #s(literal 2 binary64))
cost-diff	0	(*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x)
cost-diff	0	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (* x x) (+ (* y y) (* 2 x))) (*.f64 x x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	110
0	28	102
1	44	101
2	49	101
0	49	97

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize32.0ms (1.3%)

Memory

15.4MiB live, 15.4MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 y y (*.f64 #s(literal 2 binary64) x))
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	21.170402060853483	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
accuracy	0	(fma.f64 x x (*.f64 #s(literal 2 binary64) x))
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	27.36819635035964	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (*.f64 #s(literal 2 binary64) x)))
accuracy	0.01953125	(*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x)
accuracy	27.36819635035964	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x))
accuracy	31.1024548999866	#s(approx (- x -2) #s(literal 2 binary64))
accuracy	0	(*.f64 x x)
accuracy	37.10300998630303	#s(approx (+ (* x x) (+ (* y y) (* 2 x))) (*.f64 x x))

Samples

23.0ms

256×

valid

Compiler

Compiled 196 to 41 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 7.0ms (51.9% of total)

ival-add: 5.0ms (37.1% of total)

ival-sub: 1.0ms (7.4% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.2%)

Memory

2.8MiB live, 2.8MiB allocated

Counts

10 → 19

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((+ (* x x) (+ (* y y) (* 2 x))) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (* (- x -2) x) (- x -2) (+ (* x x) (* 2 x)) (+ (+ (* x 2) (* x x)) (* y y)) (* 2 x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* y y) (* 2 x)))
1.0ms	x	@	inf	((+ (* x x) (+ (* y y) (* 2 x))) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (* (- x -2) x) (- x -2) (+ (* x x) (* 2 x)) (+ (+ (* x 2) (* x x)) (* y y)) (* 2 x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* y y) (* 2 x)))
1.0ms	x	@	0	((+ (* x x) (+ (* y y) (* 2 x))) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (* (- x -2) x) (- x -2) (+ (* x x) (* 2 x)) (+ (+ (* x 2) (* x x)) (* y y)) (* 2 x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* y y) (* 2 x)))
0.0ms	y	@	inf	((+ (* x x) (+ (* y y) (* 2 x))) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (* (- x -2) x) (- x -2) (+ (* x x) (* 2 x)) (+ (+ (* x 2) (* x x)) (* y y)) (* 2 x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* y y) (* 2 x)))
0.0ms	y	@	-inf	((+ (* x x) (+ (* y y) (* 2 x))) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (* (- x -2) x) (- x -2) (+ (* x x) (* 2 x)) (+ (+ (* x 2) (* x x)) (* y y)) (* 2 x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (* y y) (* 2 x)))

simplify93.0ms (3.8%)

Memory

26.3MiB live, 26.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	105
1	132	105
2	353	105
3	1246	105
4	3412	105
5	7416	105
0	8321	96

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 18

Calls

Call 1

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

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

rewrite112.0ms (4.6%)

Memory

43.8MiB live, 43.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	99
0	28	91
1	117	90
2	954	90
0	8322	86

Stop Event

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

Counts

10 → 113

Calls

Call 1

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

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

eval11.0ms (0.5%)

Memory: 10.1MiB live, 10.1MiB allocated
Compiler: Compiled 3 675 to 428 computations (88.4% saved)

prune5.0ms (0.2%)

Memory

6.9MiB live, 6.9MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	0	0
Picked	0	4	4
Done	0	3	3
Total	122	7	129

Accuracy

100.0%

Counts

129 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
✓	66.9%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
✓	57.2%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 x x (*.f64 #s(literal 2 binary64) x)))
✓	57.2%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
✓	18.3%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x))
✓	51.2%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
✓	42.0%	#s(approx (+ (* x x) (+ (* y y) (* 2 x))) (*.f64 x x))

Compiler

Compiled 258 to 115 computations (55.4% saved)

regimes17.0ms (0.7%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	x
3.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
3.0ms	y
3.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
3.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
100.0%	1	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
100.0%	1	`(*.f64 y y)`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes15.0ms (0.6%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	x
3.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
3.0ms	y
3.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
3.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
100.0%	1	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
100.0%	1	`(*.f64 y y)`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes14.0ms (0.6%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	x
3.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
3.0ms	y
3.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
94.0%	3	`x`
87.6%	2	`y`
66.9%	1	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
92.8%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
87.6%	2	`(*.f64 y y)`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes3.0ms (0.1%)

Memory

2.2MiB live, 2.2MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
92.8%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes8.0ms (0.3%)

Memory

6.8MiB live, 6.8MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	x
2.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
2.0ms	y
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
87.6%	2	`y`
87.6%	2	`(*.f64 y y)`
79.5%	3	`x`
77.7%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes7.0ms (0.3%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

2.0ms	x
2.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
2.0ms	y
1.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
77.6%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
78.7%	3	`x`
72.4%	2	`y`
72.4%	2	`(*.f64 y y)`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes6.0ms (0.2%)

Memory

7.0MiB live, 7.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

1.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
1.0ms	x
1.0ms	y
1.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
1.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
42.0%	1	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
42.0%	1	`y`
42.0%	1	`(*.f64 y y)`
42.0%	1	`x`
42.0%	1	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 23 to 21 computations (8.7% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.0528528624252036e+63	1.3840695162949987e+64

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.0528528624252036e+63	1.3840695162949987e+64

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch13.0ms (0.5%)

Memory

4.7MiB live, 4.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.2627292522928003e-25	1.7201838402567977e-15

Samples

6.0ms

160×

valid

Compiler

Compiled 314 to 243 computations (22.6% saved)

Precisions

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

ival-mult: 2.0ms (58.2% of total)

ival-add: 1.0ms (29.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.0528528624252036e+63	1.3840695162949987e+64

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify21.0ms (0.9%)

Memory

18.7MiB live, 18.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	196
1	45	196
2	50	196
3	52	196
4	53	196

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 5000000000000000106602095047271984361506289356339824733871669248 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (.f64 #s(literal 2 binary64) x))) #s(approx (+ ( x x) (+ (* y y) (* 2 x))) (*.f64 x x)))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 5000000000000000106602095047271984361506289356339824733871669248 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (.f64 y y))) #s(approx (+ ( x x) (+ (* y y) (* 2 x))) (*.f64 x x)))
(if (<=.f64 (.f64 y y) #s(literal 7404544304199621/43556142965880123323311949751266331066368 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (.f64 (-.f64 x #s(literal -2 binary64)) x)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 y y)))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 5000000000000000106602095047271984361506289356339824733871669248 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 y y)) #s(approx (+ ( x x) (+ (* y y) (* 2 x))) (*.f64 x x)))
#s(approx (+ (* x x) (+ (* y y) (* 2 x))) (*.f64 x x))

Outputs
(fma.f64 x x (fma.f64 y y (*.f64 #s(literal 2 binary64) x)))
(fma.f64 y y (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 5000000000000000106602095047271984361506289356339824733871669248 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (.f64 #s(literal 2 binary64) x))) #s(approx (+ ( x x) (+ (* y y) (* 2 x))) (*.f64 x x)))
(if (<=.f64 (+.f64 (.f64 x x) (.f64 #s(literal 2 binary64) x)) #s(literal 5000000000000000106602095047271984361506289356339824733871669248 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 y y (.f64 #s(literal 2 binary64) x))) #s(approx (+ ( x x) (+ (* y y) (* 2 x))) (*.f64 x x)))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 5000000000000000106602095047271984361506289356339824733871669248 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (.f64 y y))) #s(approx (+ ( x x) (+ (* y y) (* 2 x))) (*.f64 x x)))
(if (<=.f64 (+.f64 (.f64 x x) (.f64 #s(literal 2 binary64) x)) #s(literal 5000000000000000106602095047271984361506289356339824733871669248 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (.f64 y y))) #s(approx (+ ( x x) (+ (* y y) (* 2 x))) (*.f64 x x)))
(if (<=.f64 (.f64 y y) #s(literal 7404544304199621/43556142965880123323311949751266331066368 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (.f64 (-.f64 x #s(literal -2 binary64)) x)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 y y)))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 5000000000000000106602095047271984361506289356339824733871669248 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 y y)) #s(approx (+ ( x x) (+ (* y y) (* 2 x))) (*.f64 x x)))
(if (<=.f64 (+.f64 (.f64 x x) (.f64 #s(literal 2 binary64) x)) #s(literal 5000000000000000106602095047271984361506289356339824733871669248 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 y y)) #s(approx (+ ( x x) (+ (* y y) (* 2 x))) (*.f64 x x)))
#s(approx (+ (* x x) (+ (* y y) (* 2 x))) (*.f64 x x))

soundness723.0ms (29.6%)

Memory

6.2MiB live, 6.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	101
0	32	93
1	145	91
2	1142	91
0	8210	91
0	36	76
1	101	76
2	272	76
3	913	76
4	2767	76
5	4867	76
6	7666	76
0	8409	70
0	8	27
0	13	23
1	47	23
2	406	23
3	6148	23
0	8102	22
0	46	114
1	143	114
2	391	114
3	1427	114
4	4033	114
0	8064	104

Stop Event

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

Compiler

Compiled 423 to 160 computations (62.2% saved)

preprocess49.0ms (2%)

Memory: 28.6MiB live, 28.6MiB allocated
Remove: (abs y)
Compiler: Compiled 454 to 120 computations (73.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample568.0ms (23.3%)

explain102.0ms (4.2%)

preprocess32.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize19.0ms (0.8%)

series4.0ms (0.2%)

simplify108.0ms (4.4%)

rewrite132.0ms (5.4%)

eval20.0ms (0.8%)

prune5.0ms (0.2%)

simplify4.0ms (0.2%)

localize38.0ms (1.6%)

series5.0ms (0.2%)

simplify103.0ms (4.2%)

rewrite124.0ms (5.1%)

eval29.0ms (1.2%)

prune6.0ms (0.2%)

simplify4.0ms (0.1%)

localize32.0ms (1.3%)

series4.0ms (0.2%)

simplify93.0ms (3.8%)

rewrite112.0ms (4.6%)

eval11.0ms (0.5%)

prune5.0ms (0.2%)

regimes17.0ms (0.7%)

regimes15.0ms (0.6%)

regimes14.0ms (0.6%)

regimes3.0ms (0.1%)

regimes8.0ms (0.3%)

regimes7.0ms (0.3%)

regimes6.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch13.0ms (0.5%)

bsearch0.0ms (0%)

simplify21.0ms (0.9%)

soundness723.0ms (29.6%)

preprocess49.0ms (2%)

end0.0ms (0%)

Profiling