Metrics for Linear.Matrix:fromQuaternion from linear-1.19.1.3, A

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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 11 to 9 computations (18.2% saved)

sample1.5s (57.1%)

Memory

-33.0MiB live, 991.8MiB allocated; 1.2s collecting garbage

Samples

626.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 448.0ms

ival-sub: 227.0ms (50.7% of total)

ival-mult: 209.0ms (46.7% of total)

exact: 6.0ms (1.3% of total)

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

adjust: 2.0ms (0.4% of total)

Bogosity

explain93.0ms (3.6%)

Memory

-7.8MiB live, 90.3MiB allocated; 10ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
15	-	-	`(-.f64 (.f64 x x) (.f64 x y))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
0	-	-	`(*.f64 x x)`
0	-	-	`(*.f64 x y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 x x) (.f64 x y))`	nan-rescue	15	0
↳	`(*.f64 x x)`	overflow	72
↳	`(*.f64 x y)`	overflow	44

Confusion

	Predicted +	Predicted -
+	15	0
-	0	241

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	15	0	0
-	0	0	241

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	241
1	15

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

33.0ms

512×

valid

Compiler

Compiled 63 to 25 computations (60.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 16.0ms (81.1% of total)

ival-sub: 2.0ms (10.1% 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)

preprocess161.0ms (6.3%)

Memory

3.1MiB live, 140.5MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	46
1	74	42
2	277	42
3	1112	42
4	4746	42
5	7674	42
0	7	9
0	11	7
1	24	7
2	78	7
3	307	7
4	1275	7
5	4106	7
0	8191	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.1%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

series7.0ms (0.3%)

Memory

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

Counts

7 → 18

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite122.0ms (4.8%)

Memory

7.6MiB live, 99.5MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	297
0	73	253
1	322	243
0	2827	242

Stop Event

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

Counts

25 → 217

Calls

Call 1

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

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

eval33.0ms (1.3%)

Memory: -11.0MiB live, 35.2MiB allocated; 3ms collecting garbage
Compiler: Compiled 3 890 to 549 computations (85.9% saved)

prune6.0ms (0.2%)

Memory

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

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	214	5	219
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	215	5	220

Accuracy

100.0%

Counts

220 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (-.f64 x y) (.f64 x #s(literal 2 binary64)))
▶	96.1%	(.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x)))
▶	98.0%	(.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x)))
▶	56.3%	(.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x)))
▶	59.5%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x)))

Compiler

Compiled 106 to 80 computations (24.5% saved)

series13.0ms (0.5%)

Memory

18.2MiB live, 18.2MiB allocated; 0ms collecting garbage

Counts

19 → 65

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((* (- x y) (* x 2)) (- x y) x y (* x 2) 2 (* 2 (- (* x x) (* x y))) (* -2 (* y x)) -2 (* y x) (* 2 (- (* x x) (* x y))) (- (* x x) (* x y)) (* x x) (* 2 (+ (* x x) (* (neg y) x))) (+ (* x x) (* (neg y) x)) (* (neg y) x) (neg y) (* 2 (+ (* (neg y) x) (* x x))) (+ (* (neg y) x) (* x x)))
2.0ms	x	@	inf	((* (- x y) (* x 2)) (- x y) x y (* x 2) 2 (* 2 (- (* x x) (* x y))) (* -2 (* y x)) -2 (* y x) (* 2 (- (* x x) (* x y))) (- (* x x) (* x y)) (* x x) (* 2 (+ (* x x) (* (neg y) x))) (+ (* x x) (* (neg y) x)) (* (neg y) x) (neg y) (* 2 (+ (* (neg y) x) (* x x))) (+ (* (neg y) x) (* x x)))
2.0ms	x	@	0	((* (- x y) (* x 2)) (- x y) x y (* x 2) 2 (* 2 (- (* x x) (* x y))) (* -2 (* y x)) -2 (* y x) (* 2 (- (* x x) (* x y))) (- (* x x) (* x y)) (* x x) (* 2 (+ (* x x) (* (neg y) x))) (+ (* x x) (* (neg y) x)) (* (neg y) x) (neg y) (* 2 (+ (* (neg y) x) (* x x))) (+ (* (neg y) x) (* x x)))
2.0ms	y	@	-inf	((* (- x y) (* x 2)) (- x y) x y (* x 2) 2 (* 2 (- (* x x) (* x y))) (* -2 (* y x)) -2 (* y x) (* 2 (- (* x x) (* x y))) (- (* x x) (* x y)) (* x x) (* 2 (+ (* x x) (* (neg y) x))) (+ (* x x) (* (neg y) x)) (* (neg y) x) (neg y) (* 2 (+ (* (neg y) x) (* x x))) (+ (* (neg y) x) (* x x)))
1.0ms	y	@	inf	((* (- x y) (* x 2)) (- x y) x y (* x 2) 2 (* 2 (- (* x x) (* x y))) (* -2 (* y x)) -2 (* y x) (* 2 (- (* x x) (* x y))) (- (* x x) (* x y)) (* x x) (* 2 (+ (* x x) (* (neg y) x))) (+ (* x x) (* (neg y) x)) (* (neg y) x) (neg y) (* 2 (+ (* (neg y) x) (* x x))) (+ (* (neg y) x) (* x x)))

rewrite256.0ms (10%)

Memory

-14.3MiB live, 101.9MiB allocated; 109ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	1124
0	169	965
1	611	927
0	4571	923

Stop Event

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

Counts

84 → 787

Calls

Call 1

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

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

eval63.0ms (2.5%)

Memory: -32.6MiB live, 58.2MiB allocated; 8ms collecting garbage
Compiler: Compiled 7 225 to 964 computations (86.7% saved)

prune12.0ms (0.5%)

Memory

22.2MiB live, 22.2MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	422	3	425
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	425	5	430

Accuracy

100.0%

Counts

430 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (-.f64 x y) (+.f64 x x))
▶	56.3%	(.f64 #s(approx (- x y) x) (.f64 x #s(literal 2 binary64)))
✓	96.1%	(.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x)))
✓	98.0%	(.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x)))
▶	59.6%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 #s(literal -2 binary64) y) x))

Compiler

Compiled 49 to 37 computations (24.5% saved)

series7.0ms (0.3%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms collecting garbage

Counts

13 → 35

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite49.0ms (1.9%)

Memory

-28.0MiB live, 23.7MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	564
0	100	539
0	383	524

Stop Event

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

Counts

48 → 73

Calls

Call 1

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

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

eval5.0ms (0.2%)

Memory: 10.2MiB live, 10.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 790 to 149 computations (81.1% saved)

prune5.0ms (0.2%)

Memory

8.5MiB live, 8.5MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	0	0	0
Picked	1	2	3
Done	0	2	2
Total	63	5	68

Accuracy

100.0%

Counts

68 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (-.f64 x y) (+.f64 x x))
▶	56.3%	(*.f64 #s(approx (- x y) x) (+.f64 x x))
✓	96.1%	(.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x)))
✓	98.0%	(.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x)))
✓	59.6%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 #s(literal -2 binary64) y) x))

Compiler

Compiled 49 to 36 computations (26.5% saved)

series3.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated; 0ms collecting garbage

Counts

4 → 17

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite49.0ms (1.9%)

Memory

-12.0MiB live, 31.8MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	233
0	67	226
0	328	221

Stop Event

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

Counts

21 → 30

Calls

Call 1

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

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

eval3.0ms (0.1%)

Memory: 5.9MiB live, 5.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 442 to 93 computations (79% saved)

prune4.0ms (0.2%)

Memory

7.2MiB live, 7.2MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	33	5	38

Accuracy

100.0%

Counts

38 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (-.f64 x y) (+.f64 x x))
✓	56.3%	(*.f64 #s(approx (- x y) x) (+.f64 x x))
✓	96.1%	(.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 y) x (.f64 x x)))
✓	98.0%	(.f64 #s(literal 2 binary64) (fma.f64 x x (.f64 (neg.f64 y) x)))
✓	59.6%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 #s(literal -2 binary64) y) x))

Compiler

Compiled 151 to 72 computations (52.3% saved)

regimes25.0ms (1%)

Memory

-14.8MiB live, 28.0MiB allocated; 5ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

13.0ms	x
3.0ms	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
3.0ms	y
3.0ms	(-.f64 (.f64 x x) (.f64 x y))

Results

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

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes8.0ms (0.3%)

Memory

17.0MiB live, 17.0MiB allocated; 0ms collecting garbage

Counts

5 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
80.9%	3	`(-.f64 (.f64 x x) (.f64 x y))`
80.9%	3	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
80.9%	3	`x`
88.7%	3	`y`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes4.0ms (0.2%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
56.3%	1	`(-.f64 (.f64 x x) (.f64 x y))`
56.3%	1	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
56.3%	1	`x`
56.3%	1	`y`

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch36.0ms (1.4%)

Memory

-11.3MiB live, 35.2MiB allocated; 2ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.076716050770189e-69	2.3479613525527125e-66
23.0ms	-1.6981292924077628e+81	-4.979887289117616e+79

Samples

11.0ms

240×

valid

Compiler

Compiled 372 to 297 computations (20.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 5.0ms (83.1% of total)

ival-sub: 1.0ms (16.6% 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)

simplify46.0ms (1.8%)

Memory

-28.6MiB live, 27.3MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	47
1	40	47
2	97	47
3	324	47
4	1314	47
5	6074	47

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

(if (<=.f64 y #s(literal -800000000000000000212878917666938212299219209449606472785055819627918071330504704 binary64)) #s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x))) (if (<=.f64 y #s(literal 8726832914295267/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) (*.f64 #s(approx (- x y) x) (+.f64 x x)) #s(approx (* 2 (- (* x x) (* x y))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))))

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

Outputs
(*.f64 (-.f64 x y) (+.f64 x x))
(if (<=.f64 y #s(literal -800000000000000000212878917666938212299219209449606472785055819627918071330504704 binary64)) #s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x))) (if (<=.f64 y #s(literal 8726832914295267/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) (.f64 #s(approx (- x y) x) (+.f64 x x)) #s(approx ( 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x)))))
(if (or (<=.f64 y #s(literal -800000000000000000212878917666938212299219209449606472785055819627918071330504704 binary64)) (not (<=.f64 y #s(literal 8726832914295267/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)))) #s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x))) (*.f64 #s(approx (- x y) x) (+.f64 x x)))
(*.f64 #s(approx (- x y) x) (+.f64 x x))

derivations64.0ms (2.5%)

Memory

-6.3MiB live, 39.6MiB allocated; 2ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 49 to 24 computations (51% saved)

preprocess19.0ms (0.7%)

Memory: 42.1MiB live, 42.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 130 to 74 computations (43.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (57.1%)

explain93.0ms (3.6%)

preprocess161.0ms (6.3%)

eval0.0ms (0%)

prune0.0ms (0%)

series7.0ms (0.3%)

rewrite122.0ms (4.8%)

eval33.0ms (1.3%)

prune6.0ms (0.2%)

series13.0ms (0.5%)

rewrite256.0ms (10%)

eval63.0ms (2.5%)

prune12.0ms (0.5%)

series7.0ms (0.3%)

rewrite49.0ms (1.9%)

eval5.0ms (0.2%)

prune5.0ms (0.2%)

series3.0ms (0.1%)

rewrite49.0ms (1.9%)

eval3.0ms (0.1%)

prune4.0ms (0.2%)

regimes25.0ms (1%)

regimes8.0ms (0.3%)

regimes4.0ms (0.2%)

bsearch36.0ms (1.4%)

simplify46.0ms (1.8%)

derivations64.0ms (2.5%)

preprocess19.0ms (0.7%)

end0.0ms (0%)

Profiling