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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample1.2s (22.7%)

Memory

40.4MiB live, 1 418.9MiB allocated; 312ms collecting garbage

Samples

771.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 364.0ms

ival-mult: 274.0ms (75.4% of total)

ival-add: 73.0ms (20.1% of total)

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

exact: 5.0ms (1.4% of total)

ival-assert: 3.0ms (0.8% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

explain361.0ms (7.1%)

Memory

-42.0MiB live, 183.5MiB allocated; 277ms collecting garbage

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

31.0ms

512×

valid

Compiler

Compiled 75 to 28 computations (62.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 10.0ms (62.1% of total)

ival-add: 5.0ms (31% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess312.0ms (6.1%)

Memory

37.7MiB live, 268.5MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	51
1	82	49
2	292	46
3	675	45
4	1633	45
5	3776	45
6	7216	45
0	8	11
0	13	9
1	34	9
2	115	9
3	300	9
4	611	9
5	1575	9
6	5136	9
0	8041	8

Stop Event

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

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 x #s(literal -2 binary64)) 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; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

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)

simplify181.0ms (3.5%)

Memory

1.8MiB live, 146.6MiB allocated; 24ms collecting garbage

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	1	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
cost-diff	2	(+.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	34	26
2	115	26
3	300	26
4	611	26
5	1575	26
6	5136	26
0	8041	25

Stop Event

1×	iter limit
1×	node limit
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 x #s(literal -2 binary64)) x (*.f64 y y))
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
(*.f64 (-.f64 x #s(literal -2 binary64)) 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

localize46.0ms (0.9%)

Memory

2.0MiB live, 46.2MiB allocated; 8ms collecting garbage

Localize:

Found 4 expressions of interest:

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

Samples

40.0ms

256×

valid

Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions

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

ival-mult: 5.0ms (62.7% of total)

ival-add: 2.0ms (25.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated; 0ms collecting garbage

Counts

5 → 17

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
#s(approx (+ (* x 2) (* x x)) #s(hole binary64 (* 2 x)))
#s(approx (+ (* x 2) (* x x)) #s(hole binary64 (* x (+ 2 x))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* 2 x) (pow y 2))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* x (+ 2 x)) (pow y 2))))
#s(approx (* x 2) #s(hole binary64 (* 2 x)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x 2) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x 2) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* 2 x) (pow x 2))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* 2 x) (+ (pow x 2) (pow y 2)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (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))
1.0ms	y	@	inf	((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x) (* y y))
1.0ms	y	@	-inf	((+ (* x 2) (* x x)) (+ (+ (* x 2) (* x x)) (* y y)) (* x 2) (* x x) (* y y))

simplify316.0ms (6.2%)

Memory

-11.8MiB live, 375.1MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	265
1	151	259
2	666	255
3	5115	255
0	8075	235

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 17

Calls

Call 1

Inputs
#s(approx (+ (* x 2) (* x x)) #s(hole binary64 (* 2 x)))
#s(approx (+ (* x 2) (* x x)) #s(hole binary64 (* x (+ 2 x))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* 2 x) (pow y 2))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* x (+ 2 x)) (pow y 2))))
#s(approx (* x 2) #s(hole binary64 (* 2 x)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x 2) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x 2) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* 2 x) (pow x 2))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* 2 x) (+ (pow x 2) (pow y 2)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))))

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

rewrite73.0ms (1.4%)

Memory

7.5MiB live, 106.3MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
0	13	23
1	61	23
0	569	22

Stop Event

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

Counts

5 → 125

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

eval19.0ms (0.4%)

Memory: -40.5MiB live, 49.9MiB allocated; 8ms collecting garbage
Compiler: Compiled 2 136 to 362 computations (83.1% saved)

prune5.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	133	7	140
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	134	7	141

Accuracy

100.0%

Counts

141 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
▶	100.0%	(fma.f64 x x (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
	83.8%	(+.f64 #s(approx (+ (* x 2) (* x x)) (.f64 x x)) (.f64 y y))
▶	60.9%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
▶	62.6%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
▶	45.7%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
▶	46.9%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Compiler

Compiled 194 to 132 computations (32% saved)

simplify157.0ms (3.1%)

Memory

-1.2MiB live, 140.9MiB allocated; 25ms collecting garbage

Localize:

Found 13 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	116
0	26	108
1	56	108
2	155	108
3	367	108
4	682	108
5	1651	108
6	5217	108
0	8122	103

Stop Event

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

Calls

Call 1

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

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

localize55.0ms (1.1%)

Memory

19.1MiB live, 63.6MiB allocated; 6ms collecting garbage

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
accuracy	0.0	(*.f64 y y)
accuracy	25.01836267311973	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
accuracy	0.0	(-.f64 x #s(literal -2 binary64))
accuracy	0.00390625	(*.f64 (-.f64 x #s(literal -2 binary64)) x)
accuracy	23.930982778960935	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
accuracy	0.0	(*.f64 y y)
accuracy	34.73520333521282	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
accuracy	0.0	(*.f64 x x)
accuracy	34.012535294068016	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))
accuracy	0.0	(fma.f64 x x (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
accuracy	0.0	(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
accuracy	0.0	(*.f64 y y)

Samples

45.0ms

256×

valid

Compiler

Compiled 101 to 16 computations (84.2% saved)

Precisions

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

ival-mult: 8.0ms (56.5% of total)

ival-add: 4.0ms (28.3% of total)

ival-sub: 1.0ms (7.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated; 0ms collecting garbage

Counts

10 → 36

Calls

Call 1

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

Outputs
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (pow y 2)))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (+ (* 2 x) (pow y 2))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (+ (* x (+ 2 x)) (pow y 2))))
#s(approx (+ (* 2 x) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (* 2 x) (* y y)) #s(hole binary64 (+ (* 2 x) (pow y 2))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* 2 x) (pow y 2))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* x (+ 2 x)) (pow y 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (- x -2) x) #s(hole binary64 (* 2 x)))
#s(approx (* (- x -2) x) #s(hole binary64 (* x (+ 2 x))))
#s(approx (- x -2) #s(hole binary64 2))
#s(approx (- x -2) #s(hole binary64 (+ 2 x)))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* 2 x) (* y y)) #s(hole binary64 (* 2 x)))
#s(approx (+ (* 2 x) (* y y)) #s(hole binary64 (* x (+ 2 (/ (pow y 2) x)))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))))
#s(approx (* (- x -2) x) #s(hole binary64 (pow x 2)))
#s(approx (* (- x -2) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (- x -2) #s(hole binary64 x))
#s(approx (- x -2) #s(hole binary64 (* x (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))))
#s(approx (+ (* 2 x) (* y y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (+ (* 2 x) (pow x 2))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (+ (* 2 x) (+ (pow x 2) (pow y 2)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* 2 x) (pow x 2))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* 2 x) (+ (pow x 2) (pow y 2)))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))))
#s(approx (+ (* 2 x) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((+ (* x x) (+ (* 2 x) (* y y))) (+ (* 2 x) (* y y)) (* y y) (+ (+ (* x 2) (* x x)) (* y y)) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* x 2) (* x x)) (* y y)) (* (- x -2) x) (- x -2) (+ (+ (* x 2) (* x x)) (* y y)))
1.0ms	x	@	inf	((+ (* x x) (+ (* 2 x) (* y y))) (+ (* 2 x) (* y y)) (* y y) (+ (+ (* x 2) (* x x)) (* y y)) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* x 2) (* x x)) (* y y)) (* (- x -2) x) (- x -2) (+ (+ (* x 2) (* x x)) (* y y)))
1.0ms	x	@	0	((+ (* x x) (+ (* 2 x) (* y y))) (+ (* 2 x) (* y y)) (* y y) (+ (+ (* x 2) (* x x)) (* y y)) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* x 2) (* x x)) (* y y)) (* (- x -2) x) (- x -2) (+ (+ (* x 2) (* x x)) (* y y)))
1.0ms	y	@	inf	((+ (* x x) (+ (* 2 x) (* y y))) (+ (* 2 x) (* y y)) (* y y) (+ (+ (* x 2) (* x x)) (* y y)) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* x 2) (* x x)) (* y y)) (* (- x -2) x) (- x -2) (+ (+ (* x 2) (* x x)) (* y y)))
1.0ms	y	@	-inf	((+ (* x x) (+ (* 2 x) (* y y))) (+ (* 2 x) (* y y)) (* y y) (+ (+ (* x 2) (* x x)) (* y y)) (* x x) (+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* x 2) (* x x)) (* y y)) (* (- x -2) x) (- x -2) (+ (+ (* x 2) (* x x)) (* y y)))

simplify199.0ms (3.9%)

Memory

-45.7MiB live, 209.3MiB allocated; 57ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	542
1	217	530
2	838	514
3	5815	514
0	8394	472

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

Inputs
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (pow y 2)))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (+ (* 2 x) (pow y 2))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (+ (* x (+ 2 x)) (pow y 2))))
#s(approx (+ (* 2 x) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (* 2 x) (* y y)) #s(hole binary64 (+ (* 2 x) (pow y 2))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* 2 x) (pow y 2))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* x (+ 2 x)) (pow y 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (- x -2) x) #s(hole binary64 (* 2 x)))
#s(approx (* (- x -2) x) #s(hole binary64 (* x (+ 2 x))))
#s(approx (- x -2) #s(hole binary64 2))
#s(approx (- x -2) #s(hole binary64 (+ 2 x)))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* 2 x) (* y y)) #s(hole binary64 (* 2 x)))
#s(approx (+ (* 2 x) (* y y)) #s(hole binary64 (* x (+ 2 (/ (pow y 2) x)))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))))
#s(approx (* (- x -2) x) #s(hole binary64 (pow x 2)))
#s(approx (* (- x -2) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (- x -2) #s(hole binary64 x))
#s(approx (- x -2) #s(hole binary64 (* x (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))))
#s(approx (+ (* 2 x) (* y y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (+ (* 2 x) (pow x 2))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (+ (* 2 x) (+ (pow x 2) (pow y 2)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* 2 x) (pow x 2))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* 2 x) (+ (pow x 2) (pow y 2)))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))))
#s(approx (+ (* 2 x) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))))

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

rewrite84.0ms (1.7%)

Memory

19.1MiB live, 64.7MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	94
0	26	86
1	121	86
0	992	81

Stop Event

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

Counts

10 → 138

Calls

Call 1

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

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

eval31.0ms (0.6%)

Memory: 16.7MiB live, 61.0MiB allocated; 6ms collecting garbage
Compiler: Compiled 4 086 to 484 computations (88.2% saved)

prune9.0ms (0.2%)

Memory

-17.2MiB live, 26.7MiB allocated; 5ms collecting garbage

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	214	4	218
Fresh	1	1	2
Picked	2	3	5
Done	0	0	0
Total	217	8	225

Accuracy

100.0%

Counts

225 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
▶	83.8%	(fma.f64 x x #s(approx (+ (* 2 x) (* y y)) (*.f64 y y)))
▶	62.6%	(fma.f64 x x #s(approx (+ (* 2 x) (* y y)) (*.f64 #s(literal 2 binary64) x)))
▶	60.9%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
✓	62.6%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
▶	18.0%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x))
✓	45.7%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
✓	46.9%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Compiler

Compiled 193 to 132 computations (31.6% saved)

simplify153.0ms (3%)

Memory

-15.9MiB live, 179.7MiB allocated; 12ms collecting garbage

Localize:

Found 15 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	140
0	36	130
1	71	130
2	174	130
3	406	130
4	762	130
5	1836	130
6	5696	130
0	8481	130

Stop Event

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

Calls

Call 1

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

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

localize170.0ms (3.3%)

Memory

-1.1MiB live, 188.7MiB allocated; 13ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 x x #s(approx (+ (* 2 x) (* y y)) (*.f64 y y)))
accuracy	0.0	(*.f64 y y)
accuracy	32.62776337346086	#s(approx (+ (* 2 x) (* y y)) (*.f64 y y))
accuracy	0.0	(fma.f64 x x #s(approx (+ (* 2 x) (* y y)) (*.f64 #s(literal 2 binary64) x)))
accuracy	0.0	(*.f64 #s(literal 2 binary64) x)
accuracy	30.24692026101476	#s(approx (+ (* 2 x) (* y y)) (*.f64 #s(literal 2 binary64) x))
accuracy	0.0	(fma.f64 y y x)
accuracy	0.01171875	(+.f64 (fma.f64 y y x) x)
accuracy	25.01836267311973	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
accuracy	0.00390625	(*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x)
accuracy	23.930982778960935	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x))
accuracy	35.10246174802204	#s(approx (- x -2) #s(literal 2 binary64))
accuracy	0.0	(+.f64 #s(literal 2 binary64) x)
accuracy	0.0	(*.f64 y y)
accuracy	0.00390625	(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))

Samples

81.0ms

256×

valid

Compiler

Compiled 112 to 21 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 34.0ms (75.4% of total)

ival-add: 9.0ms (20% of total)

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

17.6MiB live, 17.6MiB allocated; 0ms collecting garbage

Counts

14 → 61

Calls

Call 1

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

Outputs
#s(approx (+ (* (+ 2 x) x) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (* (+ 2 x) x) (* y y)) #s(hole binary64 (+ (* 2 x) (pow y 2))))
#s(approx (+ (* (+ 2 x) x) (* y y)) #s(hole binary64 (+ (* x (+ 2 x)) (pow y 2))))
#s(approx (+ 2 x) #s(hole binary64 2))
#s(approx (+ 2 x) #s(hole binary64 (+ 2 x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* 2 x) (pow y 2))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* x (+ 2 x)) (pow y 2))))
#s(approx (* (- x -2) x) #s(hole binary64 (* 2 x)))
#s(approx (* (- x -2) x) #s(hole binary64 (* x (+ 2 x))))
#s(approx (- x -2) #s(hole binary64 2))
#s(approx (- x -2) #s(hole binary64 (+ 2 x)))
#s(approx (+ (+ (* y y) x) x) #s(hole binary64 (pow y 2)))
#s(approx (+ (+ (* y y) x) x) #s(hole binary64 (+ (* 2 x) (pow y 2))))
#s(approx (+ (* y y) x) #s(hole binary64 (pow y 2)))
#s(approx (+ (* y y) x) #s(hole binary64 (+ x (pow y 2))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (pow y 2)))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (+ (* 2 x) (pow y 2))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (+ (* x (+ 2 x)) (pow y 2))))
#s(approx (+ (* 2 x) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (* 2 x) (* y y)) #s(hole binary64 (+ (* 2 x) (pow y 2))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (+ (* (+ 2 x) x) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (+ 2 x) x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (* (+ 2 x) x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))))
#s(approx (+ 2 x) #s(hole binary64 x))
#s(approx (+ 2 x) #s(hole binary64 (* x (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))))
#s(approx (* (- x -2) x) #s(hole binary64 (pow x 2)))
#s(approx (* (- x -2) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (- x -2) #s(hole binary64 x))
#s(approx (- x -2) #s(hole binary64 (* x (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (+ (* y y) x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ (* y y) x) x) #s(hole binary64 (* x (+ 2 (/ (pow y 2) x)))))
#s(approx (+ (* y y) x) #s(hole binary64 x))
#s(approx (+ (* y y) x) #s(hole binary64 (* x (+ 1 (/ (pow y 2) x)))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* 2 x) (* y y)) #s(hole binary64 (* 2 x)))
#s(approx (+ (* 2 x) (* y y)) #s(hole binary64 (* x (+ 2 (/ (pow y 2) x)))))
#s(approx (+ (* (+ 2 x) x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))))
#s(approx (+ (+ (* y y) x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))))
#s(approx (+ (* y y) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) x)) 1)))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))))
#s(approx (+ (* 2 x) (* y y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))))
#s(approx (+ (* (+ 2 x) x) (* y y)) #s(hole binary64 (* x (+ 2 x))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* 2 x) (pow x 2))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* 2 x) (+ (pow x 2) (pow y 2)))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (+ (* 2 x) (pow x 2))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (+ (* 2 x) (+ (pow x 2) (pow y 2)))))
#s(approx (+ (* (+ 2 x) x) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))))
#s(approx (+ (+ (* y y) x) x) #s(hole binary64 (* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))))
#s(approx (+ (* y y) x) #s(hole binary64 (* (pow y 2) (+ 1 (/ x (pow y 2))))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))))
#s(approx (+ (* 2 x) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))))

Calls

6 calls:

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

simplify194.0ms (3.8%)

Memory

-1.2MiB live, 247.6MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	129	877
1	290	877
2	1011	853
3	6682	853
0	8384	777

Stop Event

1×	iter limit
1×	node limit

Counts

61 → 61

Calls

Call 1

Inputs
#s(approx (+ (* (+ 2 x) x) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (* (+ 2 x) x) (* y y)) #s(hole binary64 (+ (* 2 x) (pow y 2))))
#s(approx (+ (* (+ 2 x) x) (* y y)) #s(hole binary64 (+ (* x (+ 2 x)) (pow y 2))))
#s(approx (+ 2 x) #s(hole binary64 2))
#s(approx (+ 2 x) #s(hole binary64 (+ 2 x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* 2 x) (pow y 2))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* x (+ 2 x)) (pow y 2))))
#s(approx (* (- x -2) x) #s(hole binary64 (* 2 x)))
#s(approx (* (- x -2) x) #s(hole binary64 (* x (+ 2 x))))
#s(approx (- x -2) #s(hole binary64 2))
#s(approx (- x -2) #s(hole binary64 (+ 2 x)))
#s(approx (+ (+ (* y y) x) x) #s(hole binary64 (pow y 2)))
#s(approx (+ (+ (* y y) x) x) #s(hole binary64 (+ (* 2 x) (pow y 2))))
#s(approx (+ (* y y) x) #s(hole binary64 (pow y 2)))
#s(approx (+ (* y y) x) #s(hole binary64 (+ x (pow y 2))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (pow y 2)))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (+ (* 2 x) (pow y 2))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (+ (* x (+ 2 x)) (pow y 2))))
#s(approx (+ (* 2 x) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (* 2 x) (* y y)) #s(hole binary64 (+ (* 2 x) (pow y 2))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (+ (* (+ 2 x) x) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (+ 2 x) x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (* (+ 2 x) x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))))
#s(approx (+ 2 x) #s(hole binary64 x))
#s(approx (+ 2 x) #s(hole binary64 (* x (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))))
#s(approx (* (- x -2) x) #s(hole binary64 (pow x 2)))
#s(approx (* (- x -2) x) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (- x -2) #s(hole binary64 x))
#s(approx (- x -2) #s(hole binary64 (* x (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (+ (* y y) x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ (* y y) x) x) #s(hole binary64 (* x (+ 2 (/ (pow y 2) x)))))
#s(approx (+ (* y y) x) #s(hole binary64 x))
#s(approx (+ (* y y) x) #s(hole binary64 (* x (+ 1 (/ (pow y 2) x)))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* 2 x) (* y y)) #s(hole binary64 (* 2 x)))
#s(approx (+ (* 2 x) (* y y)) #s(hole binary64 (* x (+ 2 (/ (pow y 2) x)))))
#s(approx (+ (* (+ 2 x) x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))))
#s(approx (+ (+ (* y y) x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))))
#s(approx (+ (* y y) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) x)) 1)))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))))
#s(approx (+ (* 2 x) (* y y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))))
#s(approx (+ (* (+ 2 x) x) (* y y)) #s(hole binary64 (* x (+ 2 x))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* 2 x) (pow x 2))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* 2 x) (+ (pow x 2) (pow y 2)))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (+ (* 2 x) (pow x 2))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (+ (* 2 x) (+ (pow x 2) (pow y 2)))))
#s(approx (+ (* (+ 2 x) x) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))))
#s(approx (+ (+ (* y y) x) x) #s(hole binary64 (* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))))
#s(approx (+ (* y y) x) #s(hole binary64 (* (pow y 2) (+ 1 (/ x (pow y 2))))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))))
#s(approx (+ (* 2 x) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))))

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

rewrite127.0ms (2.5%)

Memory

2.9MiB live, 95.9MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	126
0	36	116
1	187	116
0	1427	116

Stop Event

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

Counts

14 → 195

Calls

Call 1

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

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

eval33.0ms (0.6%)

Memory: -20.8MiB live, 76.3MiB allocated; 12ms collecting garbage
Compiler: Compiled 4 853 to 620 computations (87.2% saved)

prune6.0ms (0.1%)

Memory

25.6MiB live, 25.6MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	229	3	232
Fresh	0	0	0
Picked	2	3	5
Done	0	3	3
Total	231	9	240

Accuracy

100.0%

Counts

240 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
▶	62.6%	(fma.f64 x x #s(approx (+ (* 2 x) (* y y)) (+.f64 x x)))
✓	83.8%	(fma.f64 x x #s(approx (+ (* 2 x) (* y y)) (*.f64 y y)))
✓	60.9%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
▶	48.3%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 #s(approx (+ (* y y) x) (*.f64 y y)) x))
▶	18.0%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 #s(approx (+ (* y y) x) x) x))
✓	62.6%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
✓	45.7%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
✓	46.9%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Compiler

Compiled 145 to 92 computations (36.6% saved)

simplify166.0ms (3.3%)

Memory

1.0MiB live, 190.4MiB allocated; 18ms collecting garbage

Localize:

Found 10 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	115
0	26	111
1	57	111
2	157	111
3	369	111
4	698	111
5	1737	111
6	5530	111
0	8271	101

Stop Event

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

Calls

Call 1

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

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

localize90.0ms (1.8%)

Memory

5.2MiB live, 94.1MiB allocated; 9ms collecting garbage

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 x x #s(approx (+ (* 2 x) (* y y)) (+.f64 x x)))
accuracy	0.0	(+.f64 x x)
accuracy	30.24692026101476	#s(approx (+ (* 2 x) (* y y)) (+.f64 x x))
accuracy	0.0	(*.f64 y y)
accuracy	0.01171875	(+.f64 #s(approx (+ (* y y) x) (*.f64 y y)) x)
accuracy	25.01836267311973	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 #s(approx (+ (* y y) x) (*.f64 y y)) x))
accuracy	32.613764208457646	#s(approx (+ (* y y) x) (*.f64 y y))
accuracy	0.01171875	(+.f64 #s(approx (+ (* y y) x) x) x)
accuracy	25.01836267311973	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 #s(approx (+ (* y y) x) x) x))
accuracy	30.288030728021027	#s(approx (+ (* y y) x) x)

Samples

81.0ms

256×

valid

Compiler

Compiled 76 to 16 computations (78.9% saved)

Precisions

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

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

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

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

Counts

10 → 40

Calls

Call 1

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

Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* 2 x) (pow y 2))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* x (+ 2 x)) (pow y 2))))
#s(approx (+ (+ (* y y) x) x) #s(hole binary64 (pow y 2)))
#s(approx (+ (+ (* y y) x) x) #s(hole binary64 (+ (* 2 x) (pow y 2))))
#s(approx (+ (* y y) x) #s(hole binary64 (pow y 2)))
#s(approx (+ (* y y) x) #s(hole binary64 (+ x (pow y 2))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (pow y 2)))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (+ (* 2 x) (pow y 2))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (+ (* x (+ 2 x)) (pow y 2))))
#s(approx (+ (* 2 x) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (* 2 x) (* y y)) #s(hole binary64 (+ (* 2 x) (pow y 2))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (+ (* y y) x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ (* y y) x) x) #s(hole binary64 (* x (+ 2 (/ (pow y 2) x)))))
#s(approx (+ (* y y) x) #s(hole binary64 x))
#s(approx (+ (* y y) x) #s(hole binary64 (* x (+ 1 (/ (pow y 2) x)))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* 2 x) (* y y)) #s(hole binary64 (* 2 x)))
#s(approx (+ (* 2 x) (* y y)) #s(hole binary64 (* x (+ 2 (/ (pow y 2) x)))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))))
#s(approx (+ (+ (* y y) x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))))
#s(approx (+ (* y y) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) x)) 1)))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))))
#s(approx (+ (* 2 x) (* y y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* 2 x) (pow x 2))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* 2 x) (+ (pow x 2) (pow y 2)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (+ (* 2 x) (pow x 2))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (+ (* 2 x) (+ (pow x 2) (pow y 2)))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))))
#s(approx (+ (+ (* y y) x) x) #s(hole binary64 (* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))))
#s(approx (+ (* y y) x) #s(hole binary64 (* (pow y 2) (+ 1 (/ x (pow y 2))))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))))
#s(approx (+ (* 2 x) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))))

Calls

6 calls:

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

simplify297.0ms (5.8%)

Memory

-33.6MiB live, 253.5MiB allocated; 115ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	674
1	241	662
2	896	654
3	5982	654
0	8247	586

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 40

Calls

Call 1

Inputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* 2 x) (pow y 2))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* x (+ 2 x)) (pow y 2))))
#s(approx (+ (+ (* y y) x) x) #s(hole binary64 (pow y 2)))
#s(approx (+ (+ (* y y) x) x) #s(hole binary64 (+ (* 2 x) (pow y 2))))
#s(approx (+ (* y y) x) #s(hole binary64 (pow y 2)))
#s(approx (+ (* y y) x) #s(hole binary64 (+ x (pow y 2))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (pow y 2)))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (+ (* 2 x) (pow y 2))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (+ (* x (+ 2 x)) (pow y 2))))
#s(approx (+ (* 2 x) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (* 2 x) (* y y)) #s(hole binary64 (+ (* 2 x) (pow y 2))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (+ (* y y) x) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ (* y y) x) x) #s(hole binary64 (* x (+ 2 (/ (pow y 2) x)))))
#s(approx (+ (* y y) x) #s(hole binary64 x))
#s(approx (+ (* y y) x) #s(hole binary64 (* x (+ 1 (/ (pow y 2) x)))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (* (pow x 2) (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (* 2 x) (* y y)) #s(hole binary64 (* 2 x)))
#s(approx (+ (* 2 x) (* y y)) #s(hole binary64 (* x (+ 2 (/ (pow y 2) x)))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))))
#s(approx (+ (+ (* y y) x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))))
#s(approx (+ (* y y) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) x)) 1)))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))))
#s(approx (+ (* 2 x) (* y y)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* 2 x) (pow x 2))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (+ (* 2 x) (+ (pow x 2) (pow y 2)))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (+ (* 2 x) (pow x 2))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (+ (* 2 x) (+ (pow x 2) (pow y 2)))))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))))
#s(approx (+ (+ (* y y) x) x) #s(hole binary64 (* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))))
#s(approx (+ (* y y) x) #s(hole binary64 (* (pow y 2) (+ 1 (/ x (pow y 2))))))
#s(approx (+ (* x x) (+ (* 2 x) (* y y))) #s(hole binary64 (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))))
#s(approx (+ (* 2 x) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))))

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

rewrite25.0ms (0.5%)

Memory

32.4MiB live, 32.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	111
0	26	107
0	144	97

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

10 → 29

Calls

Call 1

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

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

eval24.0ms (0.5%)

Memory: -35.4MiB live, 10.8MiB allocated; 9ms collecting garbage
Compiler: Compiled 1 217 to 170 computations (86% saved)

prune6.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	0	0
Picked	0	3	3
Done	0	6	6
Total	48	9	57

Accuracy

100.0%

Counts

57 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
✓	62.6%	(fma.f64 x x #s(approx (+ (* 2 x) (* y y)) (+.f64 x x)))
✓	83.8%	(fma.f64 x x #s(approx (+ (* 2 x) (* y y)) (*.f64 y y)))
✓	60.9%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
✓	48.3%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 #s(approx (+ (* y y) x) (*.f64 y y)) x))
✓	18.0%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 #s(approx (+ (* y y) x) x) x))
✓	62.6%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
✓	45.7%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
✓	46.9%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Compiler

Compiled 376 to 144 computations (61.7% saved)

regimes45.0ms (0.9%)

Memory

-14.9MiB live, 30.4MiB allocated; 7ms collecting garbage

Counts

15 → 1

Calls

Call 1

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

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

Calls

5 calls:

25.0ms	(*.f64 y y)
5.0ms	x
5.0ms	y
4.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
4.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))

Results

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

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes21.0ms (0.4%)

Memory

28.1MiB live, 28.1MiB allocated; 0ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	y
4.0ms	x
4.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
4.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
4.0ms	(*.f64 y y)

Results

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

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes38.0ms (0.7%)

Memory

-21.4MiB live, 24.3MiB allocated; 5ms collecting garbage

Counts

12 → 2

Calls

Call 1

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

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

Calls

5 calls:

22.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
4.0ms	y
4.0ms	x
4.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
3.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
96.7%	2	`(*.f64 y y)`
98.7%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
98.7%	2	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
98.7%	3	`x`
96.7%	2	`y`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes17.0ms (0.3%)

Memory

21.2MiB live, 21.2MiB allocated; 0ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #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
85.2%	2	`(*.f64 y y)`
85.2%	2	`y`
91.4%	3	`x`
89.9%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
67.9%	2	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes10.0ms (0.2%)

Memory

13.5MiB live, 13.5MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
85.2%	2	`(*.f64 y y)`
85.2%	2	`y`
80.4%	3	`x`
79.0%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes5.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

2 calls:

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

Results

Accuracy	Segments	Branch
85.2%	2	`(*.f64 y y)`
85.2%	2	`y`

Compiler

Compiled 4 to 5 computations (-25% saved)

regimes28.0ms (0.6%)

Memory

-41.0MiB live, 12.0MiB allocated; 8ms collecting garbage

Counts

4 → 4

Calls

Call 1

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

Calls

4 calls:

22.0ms	y
2.0ms	(*.f64 y y)
2.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
2.0ms	x

Results

Accuracy	Segments	Branch
78.0%	4	`x`
74.8%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
69.4%	2	`(*.f64 y y)`
69.4%	2	`y`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes7.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
61.3%	2	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
46.9%	1	`(*.f64 y y)`
46.9%	1	`y`
61.3%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
61.3%	3	`x`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes5.0ms (0.1%)

Memory

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

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

Outputs
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 #s(approx (+ (* y y) x) 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
18.0%	1	`y`
18.0%	1	`(*.f64 y y)`
18.0%	1	`x`
18.0%	1	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
18.0%	1	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`

Compiler

Compiled 23 to 21 computations (8.7% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.336836641631422	377873837.5646059

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.989585145895829e-16	2.336836641631422

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch10.0ms (0.2%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	3.7826821429774866e+49	4.939657237897605e+50

Samples

5.0ms

96×

valid

Compiler

Compiled 254 to 175 computations (31.1% saved)

Precisions

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

ival-mult: 2.0ms (68.5% of total)

ival-add: 1.0ms (34.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.7826821429774866e+49	4.939657237897605e+50

Compiler

Compiled 206 to 157 computations (23.8% saved)

bsearch60.0ms (1.2%)

Memory

-12.2MiB live, 33.5MiB allocated; 6ms collecting garbage

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.8267010268873837	12907761.82601914
10.0ms	9.810103105150363e-70	9.362788600445722e-68
34.0ms	-1.989772753603199e+51	-3.0108917526419835e+50

Samples

43.0ms

352×

valid

Compiler

Compiled 770 to 529 computations (31.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-add: 28.0ms (79.8% of total)

ival-mult: 7.0ms (20% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.336836641631422	377873837.5646059

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify54.0ms (1.1%)

Memory

-2.9MiB live, 41.9MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	309
1	85	309
2	184	309
3	392	309
4	773	309
5	3143	309

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 x x (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(if (<=.f64 (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) #s(literal 4 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x)) (fma.f64 x x #s(approx (+ (* 2 x) (* y y)) (*.f64 y y))))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x)))
(if (<=.f64 y #s(literal 42000000000000002166043961551627015677786021953536 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 #s(approx (+ (* y y) x) (*.f64 y y)) x)))
(if (<=.f64 y #s(literal 42000000000000002166043961551627015677786021953536 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 x #s(literal -339999999999999984402842591433794782958910267457536 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 x x)) (if (<=.f64 x #s(literal 5463756259384863/60708402882054033466233184588234965832575213720379360039119137804340758912662765568 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (.f64 y y)) (if (<=.f64 x #s(literal 2 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (+.f64 #s(approx (+ (* y y) x) x) x)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x)))))
(if (<=.f64 (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) #s(literal 4 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (+.f64 #s(approx (+ (* y y) x) x) x)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 #s(approx (+ (* y y) x) x) x))

Outputs
(fma.f64 x x (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
(fma.f64 (+.f64 #s(literal 2 binary64) x) x (*.f64 y y))
(if (<=.f64 (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) #s(literal 4 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x)) (fma.f64 x x #s(approx (+ (* 2 x) (* y y)) (*.f64 y y))))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x)))
(if (<=.f64 y #s(literal 42000000000000002166043961551627015677786021953536 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 #s(approx (+ (* y y) x) (*.f64 y y)) x)))
(if (<=.f64 y #s(literal 42000000000000002166043961551627015677786021953536 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 x #s(literal -339999999999999984402842591433794782958910267457536 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 x x)) (if (<=.f64 x #s(literal 5463756259384863/60708402882054033466233184588234965832575213720379360039119137804340758912662765568 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (.f64 y y)) (if (<=.f64 x #s(literal 2 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (+.f64 #s(approx (+ (* y y) x) x) x)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x)))))
(if (<=.f64 (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 y y)) #s(literal 4 binary64)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (+.f64 #s(approx (+ (* y y) x) x) x)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x)))
#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 #s(approx (+ (* y y) x) x) x))

derivations303.0ms (5.9%)

Memory

4.5MiB live, 339.4MiB allocated; 37ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 337 to 57 computations (83.1% saved)

preprocess181.0ms (3.5%)

Memory: -19.2MiB live, 183.6MiB allocated; 31ms collecting garbage
Remove: (abs y)
Compiler: Compiled 736 to 158 computations (78.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (22.7%)

explain361.0ms (7.1%)

preprocess312.0ms (6.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify181.0ms (3.5%)

localize46.0ms (0.9%)

series5.0ms (0.1%)

simplify316.0ms (6.2%)

rewrite73.0ms (1.4%)

eval19.0ms (0.4%)

prune5.0ms (0.1%)

simplify157.0ms (3.1%)

localize55.0ms (1.1%)

series6.0ms (0.1%)

simplify199.0ms (3.9%)

rewrite84.0ms (1.7%)

eval31.0ms (0.6%)

prune9.0ms (0.2%)

simplify153.0ms (3%)

localize170.0ms (3.3%)

series6.0ms (0.1%)

simplify194.0ms (3.8%)

rewrite127.0ms (2.5%)

eval33.0ms (0.6%)

prune6.0ms (0.1%)

simplify166.0ms (3.3%)

localize90.0ms (1.8%)

series5.0ms (0.1%)

simplify297.0ms (5.8%)

rewrite25.0ms (0.5%)

eval24.0ms (0.5%)

prune6.0ms (0.1%)

regimes45.0ms (0.9%)

regimes21.0ms (0.4%)

regimes38.0ms (0.7%)

regimes17.0ms (0.3%)

regimes10.0ms (0.2%)

regimes5.0ms (0.1%)

regimes28.0ms (0.6%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch10.0ms (0.2%)

bsearch1.0ms (0%)

bsearch60.0ms (1.2%)

bsearch0.0ms (0%)

simplify54.0ms (1.1%)

derivations303.0ms (5.9%)

preprocess181.0ms (3.5%)

end0.0ms (0%)

Profiling