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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample1.3s (27.4%)

Memory

39.5MiB live, 1 360.3MiB allocated; 590ms collecting garbage

Samples

896.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 601.0ms

ival-mult: 480.0ms (79.8% of total)

ival-add: 106.0ms (17.6% of total)

ival-true: 6.0ms (1% of total)

exact: 5.0ms (0.8% of total)

adjust: 3.0ms (0.5% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain141.0ms (2.9%)

Memory

-27.2MiB live, 219.3MiB allocated; 29ms 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

46.0ms

512×

valid

Compiler

Compiled 75 to 28 computations (62.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 18.0ms (76.9% of total)

ival-add: 4.0ms (17.1% 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)

preprocess251.0ms (5.2%)

Memory

-11.5MiB live, 225.5MiB allocated; 77ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	60
1	83	58
2	294	55
3	676	54
4	1634	54
5	3818	54
6	7264	54
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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

simplify157.0ms (3.3%)

Memory

6.0MiB live, 194.8MiB allocated; 19ms 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

localize23.0ms (0.5%)

Memory

12.2MiB live, 56.0MiB allocated; 6ms 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

15.0ms

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 (66.4% of total)

ival-add: 2.0ms (26.6% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB 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))

simplify259.0ms (5.4%)

Memory

-6.8MiB live, 221.7MiB allocated; 46ms 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))

rewrite62.0ms (1.3%)

Memory

11.8MiB live, 70.7MiB allocated; 18ms 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: -3.4MiB live, 40.9MiB allocated; 10ms collecting garbage
Compiler: Compiled 2 136 to 362 computations (83.1% saved)

prune5.0ms (0.1%)

Memory

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

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	135	5	140
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	136	5	141

Accuracy

100.0%

Counts

141 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x x (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
▶	64.8%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
▶	59.9%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
▶	48.4%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
▶	43.5%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Compiler

Compiled 148 to 100 computations (32.4% saved)

simplify252.0ms (5.2%)

Memory

-39.4MiB live, 162.9MiB allocated; 34ms 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

localize47.0ms (1%)

Memory

1.2MiB live, 90.3MiB allocated; 9ms 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	22.544556939522472	#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	0.015625	(*.f64 (-.f64 x #s(literal -2 binary64)) x)
accuracy	25.63390941509775	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
accuracy	0.0	(*.f64 y y)
accuracy	33.006360638793765	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
accuracy	0.0	(*.f64 x x)
accuracy	36.14483585215009	#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

34.0ms

256×

valid

Compiler

Compiled 101 to 16 computations (84.2% saved)

Precisions

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

ival-mult: 8.0ms (59.4% of total)

ival-add: 4.0ms (29.7% of total)

ival-sub: 1.0ms (7.4% 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

22.8MiB live, 22.9MiB 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	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	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)))

simplify213.0ms (4.4%)

Memory

-14.3MiB live, 230.7MiB allocated; 37ms 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))

rewrite54.0ms (1.1%)

Memory

32.0MiB live, 75.2MiB allocated; 8ms 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)))

eval49.0ms (1%)

Memory: -4.4MiB live, 41.1MiB allocated; 5ms collecting garbage
Compiler: Compiled 4 086 to 484 computations (88.2% saved)

prune10.0ms (0.2%)

Memory

-24.5MiB live, 21.7MiB allocated; 3ms collecting garbage

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	215	3	218
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	216	7	223

Accuracy

100.0%

Counts

223 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.9%	(fma.f64 x x #s(approx (+ (* 2 x) (* y y)) (*.f64 #s(literal 2 binary64) x)))
✓	64.8%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
▶	64.8%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
✓	59.9%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
▶	19.4%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x))
✓	48.4%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
✓	43.5%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Compiler

Compiled 116 to 79 computations (31.9% saved)

simplify296.0ms (6.2%)

Memory

-31.7MiB live, 281.0MiB allocated; 134ms collecting garbage

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	93
0	26	87
1	58	87
2	155	87
3	367	87
4	701	87
5	1802	87
6	5612	87
0	8395	85

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 (- 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)

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

localize76.0ms (1.6%)

Memory

32.1MiB live, 124.7MiB allocated; 5ms collecting garbage

Localize:

Found 9 expressions of interest:

New	Metric	Score
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	32.845328770247036	#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	22.544556939522472	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
accuracy	0.015625	(*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x)
accuracy	25.63390941509775	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 #s(approx (- x -2) #s(literal 2 binary64)) x))
accuracy	32.02960318508013	#s(approx (- x -2) #s(literal 2 binary64))

Samples

66.0ms

256×

valid

Compiler

Compiled 71 to 18 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-add: 32.0ms (76% of total)

ival-mult: 8.0ms (19% of total)

ival-sub: 1.0ms (2.4% 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

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Counts

9 → 47

Calls

Call 1

Inputs
#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)

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 (* (- 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 (+ (+ (* 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 (+ (+ (* 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 (+ (* 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)) (* (- 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))
1.0ms	x	@	inf	((+ (+ (* 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))
1.0ms	x	@	0	((+ (+ (* 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))
1.0ms	y	@	inf	((+ (+ (* 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))
1.0ms	y	@	-inf	((+ (+ (* 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))

simplify212.0ms (4.4%)

Memory

-0.1MiB live, 190.0MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	695
1	258	683
2	933	667
3	6121	667
0	8116	605

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 47

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

rewrite86.0ms (1.8%)

Memory

-20.0MiB live, 78.4MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	87
0	26	81
1	141	81
0	1173	79

Stop Event

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

Counts

9 → 96

Calls

Call 1

Inputs
#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)

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

eval50.0ms (1%)

Memory: -13.7MiB live, 32.9MiB allocated; 4ms collecting garbage
Compiler: Compiled 2 895 to 384 computations (86.7% saved)

prune4.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	113	2	115
Fresh	0	0	0
Picked	2	1	3
Done	0	4	4
Total	115	7	122

Accuracy

100.0%

Counts

122 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.9%	(fma.f64 x x #s(approx (+ (* 2 x) (* y y)) (+.f64 x x)))
✓	64.8%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
✓	64.8%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
▶	19.4%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 #s(approx (+ (* y y) x) x) x))
✓	59.9%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
✓	48.4%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
✓	43.5%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Compiler

Compiled 118 to 76 computations (35.6% saved)

simplify183.0ms (3.8%)

Memory

-11.1MiB live, 129.0MiB allocated; 24ms collecting garbage

Localize:

Found 6 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	#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	17	67
0	20	65
1	49	65
2	149	65
3	360	65
4	687	65
5	1722	65
6	5475	65
0	8213	59

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
(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
(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)

localize33.0ms (0.7%)

Memory

37.0MiB live, 81.3MiB allocated; 7ms collecting garbage

Localize:

Found 6 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	32.845328770247036	#s(approx (+ (* 2 x) (* y y)) (+.f64 x x))
accuracy	0.01171875	(+.f64 #s(approx (+ (* y y) x) x) x)
accuracy	22.544556939522472	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 #s(approx (+ (* y y) x) x) x))
accuracy	32.87181919531274	#s(approx (+ (* y y) x) x)

Samples

25.0ms

256×

valid

Compiler

Compiled 48 to 16 computations (66.7% saved)

Precisions

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

ival-mult: 10.0ms (57.6% of total)

ival-add: 7.0ms (40.3% 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)

series4.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated; 0ms collecting garbage

Counts

6 → 39

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)
(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 (+ (* 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 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 x) (+ (* 2 x) (* y y))) (+ (* 2 x) (* y y)) (+ x x))
0.0ms	y	@	-inf	((+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* y y) x) x) (+ (* y y) x) (+ (* x x) (+ (* 2 x) (* y y))) (+ (* 2 x) (* y y)) (+ x x))
0.0ms	y	@	inf	((+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* y y) x) x) (+ (* y y) x) (+ (* x x) (+ (* 2 x) (* y y))) (+ (* 2 x) (* y y)) (+ x x))
0.0ms	x	@	0	((+ (+ (* x 2) (* x x)) (* y y)) (+ (+ (* y y) x) x) (+ (* y y) x) (+ (* x x) (+ (* 2 x) (* y y))) (+ (* 2 x) (* y y)) (+ x x))

simplify315.0ms (6.6%)

Memory

-2.8MiB live, 319.0MiB allocated; 122ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	667
1	239	655
2	894	647
3	5966	647
0	8217	579

Stop Event

1×	iter limit
1×	node limit

Counts

39 → 39

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 (+ (* 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 (+ (* 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))

rewrite26.0ms (0.5%)

Memory

8.0MiB live, 54.2MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	65
0	20	63
0	126	57

Stop Event

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

Counts

6 → 19

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)
(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)
(/.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)

eval4.0ms (0.1%)

Memory: 12.7MiB live, 12.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 916 to 139 computations (84.8% saved)

prune38.0ms (0.8%)

Memory

-26.9MiB live, 19.4MiB allocated; 4ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	38	7	45

Accuracy

100.0%

Counts

45 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.9%	(fma.f64 x x #s(approx (+ (* 2 x) (* y y)) (+.f64 x x)))
✓	64.8%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
✓	64.8%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 (fma.f64 y y x) x))
✓	19.4%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (+.f64 #s(approx (+ (* y y) x) x) x))
✓	59.9%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 (-.f64 x #s(literal -2 binary64)) x))
✓	48.4%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 y y))
✓	43.5%	#s(approx (+ (+ (* x 2) (* x x)) (* y y)) (*.f64 x x))

Compiler

Compiled 289 to 119 computations (58.8% saved)

regimes33.0ms (0.7%)

Memory

3.1MiB live, 60.5MiB allocated; 5ms collecting garbage

Counts

11 → 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 (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 (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:

18.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
4.0ms	y
4.0ms	x
4.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
3.0ms	(*.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)

regimes19.0ms (0.4%)

Memory

5.8MiB live, 51.3MiB allocated; 3ms collecting garbage

Counts

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

Calls

5 calls:

6.0ms	x
3.0ms	y
3.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
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
82.7%	2	`(*.f64 y y)`
92.6%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
72.1%	3	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
93.1%	3	`x`
82.7%	2	`y`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes3.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated; 0ms collecting garbage

Counts

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

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 x x)))

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
92.6%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes5.0ms (0.1%)

Memory

-29.8MiB live, 13.0MiB allocated; 4ms 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 (fma.f64 y y x) 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

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
92.6%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes30.0ms (0.6%)

Memory

-3.1MiB live, 37.5MiB allocated; 10ms 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

4 calls:

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

Results

Accuracy	Segments	Branch
82.7%	2	`(*.f64 y y)`
82.7%	2	`y`
76.7%	3	`x`
76.3%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes6.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated; 0ms collecting garbage

Counts

4 → 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))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
75.7%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
66.4%	2	`(*.f64 y y)`
70.1%	4	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes7.0ms (0.1%)

Memory

27.2MiB live, 27.2MiB 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 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
1.0ms	y
1.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
1.0ms	x
1.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
43.5%	1	`(*.f64 y y)`
47.2%	3	`y`
59.4%	2	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
59.4%	3	`x`
59.3%	2	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`

Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes19.0ms (0.4%)

Memory

-26.7MiB live, 26.1MiB allocated; 17ms 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:

15.0ms	(+.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
19.4%	1	`(*.f64 y y)`
19.4%	1	`y`
19.4%	1	`x`
19.4%	1	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
19.4%	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

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	972106684.1239768	2058926716164.7756

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	972106684.1239768	2058926716164.7756

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	972106684.1239768	2058926716164.7756

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch71.0ms (1.5%)

Memory

-14.4MiB live, 30.4MiB allocated; 10ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
69.0ms	6.428182807641362e-21	4.8669383926702666e-20

Samples

5.0ms

96×

valid

Compiler

Compiled 206 to 157 computations (23.8% saved)

Precisions

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

ival-mult: 2.0ms (67.2% of total)

ival-add: 1.0ms (33.6% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	972106684.1239768	2058926716164.7756

Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.3687089318047838e-39	5.942211383915745e-32

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify50.0ms (1%)

Memory

37.3MiB live, 85.6MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	263
1	75	263
2	174	263
3	382	263
4	763	263
5	3154	263

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 x x (fma.f64 #s(literal 2 binary64) x (*.f64 y y)))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 1000000000 binary64)) #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 x x))))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 1000000000 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 x x))))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 1000000000 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 5150758483666549/332306998946228968225951765070086144 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 (-.f64 x #s(literal -2 binary64)) x)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 y y)))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 1000000000 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 y y)) #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 6129982163463555/1532495540865888858358347027150309183618739122183602176 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)))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 1000000000 binary64)) #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 x x))))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 1000000000 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 x x))))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 1000000000 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 5150758483666549/332306998946228968225951765070086144 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 (-.f64 x #s(literal -2 binary64)) x)) #s(approx (+ (+ ( x 2) (* x x)) (* y y)) (*.f64 y y)))
(if (<=.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) #s(literal 1000000000 binary64)) #s(approx (+ (+ (* x 2) (* x x)) (* y y)) (.f64 y y)) #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 6129982163463555/1532495540865888858358347027150309183618739122183602176 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))

derivations313.0ms (6.5%)

Memory

-43.2MiB live, 295.0MiB allocated; 73ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 285 to 47 computations (83.5% saved)

preprocess51.0ms (1.1%)

Memory: 4.6MiB live, 95.4MiB allocated; 9ms collecting garbage
Remove: (abs y)
Compiler: Compiled 632 to 138 computations (78.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (27.4%)

explain141.0ms (2.9%)

preprocess251.0ms (5.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify157.0ms (3.3%)

localize23.0ms (0.5%)

series5.0ms (0.1%)

simplify259.0ms (5.4%)

rewrite62.0ms (1.3%)

eval19.0ms (0.4%)

prune5.0ms (0.1%)

simplify252.0ms (5.2%)

localize47.0ms (1%)

series6.0ms (0.1%)

simplify213.0ms (4.4%)

rewrite54.0ms (1.1%)

eval49.0ms (1%)

prune10.0ms (0.2%)

simplify296.0ms (6.2%)

localize76.0ms (1.6%)

series5.0ms (0.1%)

simplify212.0ms (4.4%)

rewrite86.0ms (1.8%)

eval50.0ms (1%)

prune4.0ms (0.1%)

simplify183.0ms (3.8%)

localize33.0ms (0.7%)

series4.0ms (0.1%)

simplify315.0ms (6.6%)

rewrite26.0ms (0.5%)

eval4.0ms (0.1%)

prune38.0ms (0.8%)

regimes33.0ms (0.7%)

regimes19.0ms (0.4%)

regimes3.0ms (0.1%)

regimes5.0ms (0.1%)

regimes30.0ms (0.6%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes19.0ms (0.4%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch71.0ms (1.5%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify50.0ms (1%)

derivations313.0ms (6.5%)

preprocess51.0ms (1.1%)

end0.0ms (0%)

Profiling