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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample694.0ms (36.4%)

Memory

20.9MiB live, 970.9MiB allocated; 222ms collecting garbage

Samples

423.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 205.0ms

ival-mult!: 185.0ms (90.3% of total)

ival-sub!: 18.0ms (8.8% of total)

adjust: 2.0ms (1% of total)

Bogosity

explain80.0ms (4.2%)

Memory

-25.9MiB live, 166.4MiB allocated; 23ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
18	-	-	`(-.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	18	0
↳	`(*.f64 x x)`	overflow	70
↳	`(*.f64 x y)`	overflow	33

Confusion

	Predicted +	Predicted -
+	18	0
-	0	238

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	18	0	0
-	0	0	238

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	238
1	18

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms

512×

valid

Compiler

Compiled 63 to 25 computations (60.3% saved)

Precisions

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

ival-mult!: 7.0ms (82.7% of total)

ival-sub!: 1.0ms (11.8% of total)

adjust: 0.0ms (0% of total)

preprocess210.0ms (11%)

Memory

-2.8MiB live, 186.3MiB allocated; 24ms 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

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.9%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

series7.0ms (0.4%)

Memory

7.2MiB live, 7.2MiB 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)

rewrite113.0ms (5.9%)

Memory

17.0MiB live, 148.5MiB allocated; 18ms 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 → 219

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)))))
(/.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))) (fma.f64 (.f64 y x) (.f64 x (+.f64 y x)) (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 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))))) (.f64 (fma.f64 (.f64 x x) (.f64 x (+.f64 y x)) (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 (fma.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 (.f64 x x) (.f64 x (+.f64 y x)) (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))) (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 x x) (.f64 x (+.f64 y x)) (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)))))
(neg.f64 (.f64 (.f64 (-.f64 x y) x) #s(literal -2 binary64)))
(neg.f64 (.f64 #s(literal -2 binary64) (.f64 (-.f64 x y) x)))
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x
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eval75.0ms (3.9%)

Memory

-22.4MiB live, 169.3MiB allocated; 29ms collecting garbage

Samples

24.0ms	358×	0	valid
14.0ms	154×	0	invalid

Compiler

Compiled 3 920 to 551 computations (85.9% saved)

Precisions

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

ival-mult!: 13.0ms (80.8% of total)

ival-add!: 3.0ms (18.7% of total)

adjust: 0.0ms (0% of total)

prune4.0ms (0.2%)

Memory

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

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	218	3	221
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	218	4	222

Accuracy

100.0%

Counts

222 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (-.f64 x y) (.f64 x #s(literal 2 binary64)))
✓	92.9%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
▶	59.0%	(.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x)))
▶	53.1%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x)))

Compiler

Compiled 44 to 33 computations (25% saved)

series20.0ms (1.1%)

Memory

-32.6MiB live, 28.8MiB allocated; 20ms collecting garbage

Counts

13 → 35

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite125.0ms (6.5%)

Memory

42.0MiB live, 180.8MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	562
0	113	506
1	444	485
0	3671	483

Stop Event

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

Counts

48 → 231

Calls

Call 1

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

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 y (.f64 #s(literal -2 binary64) x))
(.f64 x (.f64 #s(literal -2 binary64) y))
(neg.f64 (.f64 (.f64 x #s(literal 2 binary64)) y))
#s(literal -2 binary64)
(*.f64 y x)
(*.f64 x y)
y
x
(.f64 #s(approx (- ( x x) (* x y)) (*.f64 x x)) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x)))
(/.f64 (-.f64 (.f64 #s(approx (- ( x x) (* x y)) (.f64 x x)) #s(approx (- ( x x) (* x y)) (.f64 x x))) (.f64 #s(approx (- (* x x) (* x y)) (.f64 x x)) #s(approx (- ( x x) (* x y)) (.f64 x x)))) (-.f64 #s(approx (- ( x x) (* x y)) (.f64 x x)) #s(approx (- ( x x) (* x y)) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 #s(approx (- (* x x) (* x y)) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 #s(approx (- ( x x) (* x y)) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 #s(approx (- ( x x) (* x y)) (.f64 x x)) #s(approx (- ( x x) (* x y)) (.f64 x x)) (-.f64 (.f64 #s(approx (- (* x x) (* x y)) (.f64 x x)) #s(approx (- ( x x) (* x y)) (.f64 x x))) (.f64 #s(approx (- (* x x) (* x y)) (.f64 x x)) #s(approx (- ( x x) (* x y)) (*.f64 x x))))))
(neg.f64 (.f64 #s(approx (- ( x x) (* x y)) (*.f64 x x)) #s(literal -2 binary64)))
(neg.f64 (.f64 #s(literal -2 binary64) #s(approx (- ( x x) (* x y)) (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) #s(approx (- (* x x) (* x y)) (.f64 x x)) (.f64 #s(literal 1 binary64) #s(approx (- (* x x) (* x y)) (*.f64 x x))))
(fma.f64 #s(approx (- (* x x) (* x y)) (.f64 x x)) #s(literal 1 binary64) (.f64 #s(approx (- (* x x) (* x y)) (*.f64 x x)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) #s(approx (- ( x x) (* x y)) (.f64 x x))) (.f64 #s(literal 1 binary64) #s(approx (- (* x x) (* x y)) (*.f64 x x))))
(+.f64 (.f64 #s(approx (- ( x x) (* x y)) (.f64 x x)) #s(literal 1 binary64)) (.f64 #s(approx (- (* x x) (* x y)) (*.f64 x x)) #s(literal 1 binary64)))
(+.f64 #s(approx (- (* x x) (* x y)) (.f64 x x)) #s(approx (- ( x x) (* x y)) (*.f64 x x)))
#s(literal 2 binary64)
#s(approx (- (* x x) (* x y)) (*.f64 x x))
(.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) x)
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(.f64 x (.f64 #s(literal -1 binary64) (neg.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(.f64 (.f64 (-.f64 x y) #s(literal 2 binary64)) x)
(.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 #s(literal 2 binary64) (-.f64 x y)))
(*.f64 x (+.f64 (-.f64 x y) (-.f64 x y)))
(.f64 #s(literal 2 binary64) (.f64 (-.f64 x y) x))
(/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 x y)) (*.f64 x #s(literal 2 binary64))) (+.f64 y x))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 x #s(literal 2 binary64))) (fma.f64 y (+.f64 y x) (*.f64 x 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 (.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x))
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) (-.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 (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))))
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#s(approx (- x y) (neg.f64 y))
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#s(approx (- x y) x)
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#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
#s(approx (* (- x y) (* x 2)) (.f64 (.f64 #s(literal -2 binary64) (-.f64 y x)) x))
#s(approx y y)
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#s(approx (- x y) (-.f64 x y))
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#s(approx (- (* x x) (* x y)) (.f64 (-.f64 (/.f64 (.f64 x x) y) x) y))
#s(approx (* (- x y) (* x 2)) (.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 (* (- x y) (* x 2)) (.f64 (.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 x x) y) x)) (neg.f64 y)))
#s(approx (- (* x x) (* x y)) (.f64 (fma.f64 (/.f64 (.f64 x x) y) #s(literal -1 binary64) x) (neg.f64 y)))
#s(approx (* (- x y) (* x 2)) (.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)))

eval124.0ms (6.5%)

Memory

-6.0MiB live, 136.5MiB allocated; 20ms collecting garbage

Samples

30.0ms	154×	0	invalid
25.0ms	358×	0	valid

Compiler

Compiled 4 316 to 556 computations (87.1% saved)

Precisions

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

ival-mult!: 10.0ms (74.6% of total)

ival-add!: 3.0ms (22.4% of total)

adjust: 0.0ms (0% of total)

prune12.0ms (0.6%)

Memory

-22.6MiB live, 22.4MiB allocated; 10ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	226	3	229
Fresh	0	0	0
Picked	3	0	3
Done	0	1	1
Total	229	4	233

Accuracy

100.0%

Counts

233 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (-.f64 x y) (+.f64 x x))
▶	59.0%	(.f64 #s(approx (- x y) x) (.f64 x #s(literal 2 binary64)))
✓	92.9%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
▶	53.1%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 #s(literal -2 binary64) y) x))

Compiler

Compiled 40 to 30 computations (25% saved)

series7.0ms (0.4%)

Memory

16.7MiB live, 16.7MiB 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 (2.6%)

Memory

-18.2MiB live, 82.6MiB allocated; 12ms 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)))))

eval6.0ms (0.3%)

Memory: 13.6MiB live, 13.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 790 to 149 computations (81.1% saved)

prune4.0ms (0.2%)

Memory

11.4MiB live, 11.5MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	63	4	67

Accuracy

100.0%

Counts

67 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (-.f64 x y) (+.f64 x x))
▶	59.0%	(*.f64 #s(approx (- x y) x) (+.f64 x x))
✓	92.9%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
✓	53.1%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 #s(literal -2 binary64) y) x))

Compiler

Compiled 40 to 29 computations (27.5% saved)

series3.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB 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))

rewrite70.0ms (3.7%)

Memory

-4.0MiB live, 42.1MiB allocated; 2ms 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 (0.2%)

Memory: 7.2MiB live, 7.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 442 to 93 computations (79% saved)

prune3.0ms (0.2%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	33	4	37

Accuracy

100.0%

Counts

37 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (-.f64 x y) (+.f64 x x))
✓	59.0%	(*.f64 #s(approx (- x y) x) (+.f64 x x))
✓	92.9%	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
✓	53.1%	#s(approx (* 2 (- (* x x) (* x y))) (.f64 (.f64 #s(literal -2 binary64) y) x))

Compiler

Compiled 124 to 59 computations (52.4% saved)

regimes26.0ms (1.4%)

Memory

-15.4MiB live, 30.8MiB allocated; 4ms collecting garbage

Counts

8 → 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)))

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

Calls

4 calls:

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

regimes17.0ms (0.9%)

Memory

-21.7MiB live, 27.6MiB allocated; 9ms 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 (.f64 #s(literal -2 binary64) y) x))

Calls

4 calls:

11.0ms	(-.f64 (.f64 x x) (.f64 x y))
2.0ms	x
2.0ms	y
2.0ms	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))

Results

Accuracy	Segments	Branch
80.7%	2	`(-.f64 (.f64 x x) (.f64 x y))`
80.7%	2	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
79.3%	3	`x`
84.8%	3	`y`

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes2.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Counts

2 → 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)))

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

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
84.8%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.2%)

Memory

14.6MiB live, 14.6MiB 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	(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))
1.0ms	y
1.0ms	x
1.0ms	(-.f64 (.f64 x x) (.f64 x y))

Results

Accuracy	Segments	Branch
59.0%	1	`x`
59.0%	1	`(-.f64 (.f64 x x) (.f64 x y))`
59.0%	1	`(.f64 #s(literal 2 binary64) (-.f64 (.f64 x x) (*.f64 x y)))`
59.0%	1	`y`

Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch25.0ms (1.3%)

Memory

19.9MiB live, 65.9MiB allocated; 6ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.1701224250166827e-63	1.5749575822890994e-58
12.0ms	-8.4160295529359e+69	-1.4051166602445733e+66

Samples

10.0ms

272×

valid

Compiler

Compiled 420 to 335 computations (20.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult!: 4.0ms (88.4% of total)

ival-sub!: 1.0ms (22.1% of total)

adjust: 0.0ms (0% of total)

bsearch5.0ms (0.3%)

Memory

-40.6MiB live, 4.2MiB allocated; 6ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.1701224250166827e-63	1.5749575822890994e-58
4.0ms	-8.4160295529359e+69	-1.4051166602445733e+66

Compiler

Compiled 420 to 335 computations (20.2% saved)

simplify45.0ms (2.4%)

Memory

19.2MiB live, 66.1MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	90
1	45	90
2	102	90
3	333	90
4	1324	90
5	6100	90

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 (-.f64 x y) (+.f64 x x))
(if (<=.f64 y #s(literal -6500000000000000112275694089497327142291849174348677800226384248832 binary64)) #s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x))) (if (<=.f64 y #s(literal 8820100547373695/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (.f64 #s(approx (- x y) x) (+.f64 x x)) #s(approx ( 2 (- (* x x) (* x y))) (.f64 (.f64 #s(literal -2 binary64) y) x))))
(if (<=.f64 y #s(literal -6500000000000000112275694089497327142291849174348677800226384248832 binary64)) #s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x))) (if (<=.f64 y #s(literal 8820100547373695/113078212145816597093331040047546785012958969400039613319782796882727665664 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 -6500000000000000112275694089497327142291849174348677800226384248832 binary64)) #s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x))) (if (<=.f64 y #s(literal 8820100547373695/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (.f64 #s(approx (- x y) x) (+.f64 x x)) #s(approx ( 2 (- (* x x) (* x y))) (.f64 (.f64 #s(literal -2 binary64) y) x))))
(if (<=.f64 y #s(literal -6500000000000000112275694089497327142291849174348677800226384248832 binary64)) #s(approx (* 2 (- (* x x) (* x y))) (.f64 #s(literal -2 binary64) (.f64 y x))) (if (<=.f64 y #s(literal 8820100547373695/113078212145816597093331040047546785012958969400039613319782796882727665664 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 -6500000000000000112275694089497327142291849174348677800226384248832 binary64)) (not (<=.f64 y #s(literal 8820100547373695/113078212145816597093331040047546785012958969400039613319782796882727665664 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))

derivations148.0ms (7.8%)

Memory

3.1MiB live, 120.5MiB allocated; 78ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 96 to 29 computations (69.8% saved)

preprocess25.0ms (1.3%)

Memory: -37.1MiB live, 53.2MiB allocated; 9ms collecting garbage
Compiler: Compiled 210 to 72 computations (65.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample694.0ms (36.4%)

explain80.0ms (4.2%)

preprocess210.0ms (11%)

eval0.0ms (0%)

prune0.0ms (0%)

series7.0ms (0.4%)

rewrite113.0ms (5.9%)

eval75.0ms (3.9%)

prune4.0ms (0.2%)

series20.0ms (1.1%)

rewrite125.0ms (6.5%)

eval124.0ms (6.5%)

prune12.0ms (0.6%)

series7.0ms (0.4%)

rewrite49.0ms (2.6%)

eval6.0ms (0.3%)

prune4.0ms (0.2%)

series3.0ms (0.1%)

rewrite70.0ms (3.7%)

eval3.0ms (0.2%)

prune3.0ms (0.2%)

regimes26.0ms (1.4%)

regimes17.0ms (0.9%)

regimes2.0ms (0.1%)

regimes4.0ms (0.2%)

bsearch25.0ms (1.3%)

bsearch5.0ms (0.3%)

simplify45.0ms (2.4%)

derivations148.0ms (7.8%)

preprocess25.0ms (1.3%)

end0.0ms (0%)

Profiling