Metrics for Graphics.Rendering.Chart.Axis.Types:hBufferRect from Chart-1.5.3

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample3.6s (72%)

Memory

-275.5MiB live, 965.9MiB allocated; 3.7s collecting garbage

Samples

459.0ms	7 603×	0	valid
54.0ms	302×	1	valid
30.0ms	159×	3	valid
27.0ms	192×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 285.0ms

ival-sub: 110.0ms (38.7% of total)

ival-div: 91.0ms (32% of total)

ival-add: 44.0ms (15.5% of total)

adjust: 32.0ms (11.2% of total)

exact: 6.0ms (2.1% of total)

ival-assert: 2.0ms (0.7% of total)

Bogosity

explain102.0ms (2.1%)

Memory

-20.6MiB live, 125.3MiB allocated; 62ms collecting garbage

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

27.0ms	470×	0	valid
2.0ms	12×	3	valid
2.0ms	14×	2	valid
2.0ms	16×	1	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-div: 4.0ms (29.4% of total)

ival-sub: 4.0ms (29.4% of total)

ival-add: 3.0ms (22% of total)

adjust: 2.0ms (14.7% of total)

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

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

exact: 0.0ms (0% of total)

preprocess273.0ms (5.5%)

Memory

6.8MiB live, 196.5MiB allocated; 103ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	48
1	38	48
2	70	48
3	103	48
4	172	48
5	365	42
6	1773	42
7	5790	42
0	6	7
0	9	7
1	15	7
2	22	7
3	31	7
4	59	7
5	159	7
6	957	7
7	5188	7
0	8027	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

series4.0ms (0.1%)

Memory

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

Counts

6 → 26

Calls

Call 1

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

Outputs
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1/2 y)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ (* -1/2 y) (* 3/2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- x y) 2) #s(hole binary64 (* -1/2 y)))
#s(approx (/ (- x y) 2) #s(hole binary64 (+ (* -1/2 y) (* 1/2 x))))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* 3/2 x)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* x (+ 3/2 (* -1/2 (/ y x))))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- x y) 2) #s(hole binary64 (* x (+ 1/2 (* -1/2 (/ 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 (/ (- x y) 2)) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ x (* 1/2 x))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ x (+ (* -1/2 y) (* 1/2 x)))))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx y #s(hole binary64 y))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* y (- (* 1/2 (/ x y)) 1/2))))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))))
#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 (/ (- x y) 2)) x (/ (- x y) 2) (- x y) y 2)
1.0ms	x	@	inf	((+ x (/ (- x y) 2)) x (/ (- x y) 2) (- x y) y 2)
1.0ms	y	@	-inf	((+ x (/ (- x y) 2)) x (/ (- x y) 2) (- x y) y 2)
1.0ms	y	@	0	((+ x (/ (- x y) 2)) x (/ (- x y) 2) (- x y) y 2)
1.0ms	y	@	inf	((+ x (/ (- x y) 2)) x (/ (- x y) 2) (- x y) y 2)

rewrite239.0ms (4.8%)

Memory

1.4MiB live, 151.2MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	346
0	93	324
1	450	318
0	3858	312

Stop Event

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

Counts

32 → 67

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
x
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(-.f64 x y)
y
#s(literal 2 binary64)
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1/2 y)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ (* -1/2 y) (* 3/2 x))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- x y) 2) #s(hole binary64 (* -1/2 y)))
#s(approx (/ (- x y) 2) #s(hole binary64 (+ (* -1/2 y) (* 1/2 x))))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* 3/2 x)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* x (+ 3/2 (* -1/2 (/ y x))))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- x y) 2) #s(hole binary64 (* x (+ 1/2 (* -1/2 (/ 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 (/ (- x y) 2)) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ x (* 1/2 x))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ x (+ (* -1/2 y) (* 1/2 x)))))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx y #s(hole binary64 y))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* y (- (* 1/2 (/ x y)) 1/2))))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))

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

eval58.0ms (1.2%)

Memory: -30.9MiB live, 14.9MiB allocated; 5ms collecting garbage
Compiler: Compiled 986 to 241 computations (75.6% saved)

prune3.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	61	4	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	4	66

Accuracy

100.0%

Counts

66 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.7%	(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
▶	100.0%	#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
▶	52.2%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
▶	50.2%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 47 to 38 computations (19.1% saved)

series6.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated; 0ms collecting garbage

Counts

12 → 27

Calls

Call 1

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

Outputs
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1/2 y)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ (* -1/2 y) (* 3/2 x))))
#s(approx (* 3/2 x) #s(hole binary64 (* 3/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* 3/2 x) (* -1/2 y)) #s(hole binary64 (* -1/2 y)))
#s(approx (+ (* 3/2 x) (* -1/2 y)) #s(hole binary64 (+ (* -1/2 y) (* 3/2 x))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* -1/2 y)))
#s(approx (/ (- x y) 2) #s(hole binary64 (+ (* -1/2 y) (* 1/2 x))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* 3/2 x)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* x (+ 3/2 (* -1/2 (/ y x))))))
#s(approx (+ (* 3/2 x) (* -1/2 y)) #s(hole binary64 (* 3/2 x)))
#s(approx (+ (* 3/2 x) (* -1/2 y)) #s(hole binary64 (* x (+ 3/2 (* -1/2 (/ y x))))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- x y) 2) #s(hole binary64 (* x (+ 1/2 (* -1/2 (/ y x))))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))))
#s(approx (+ (* 3/2 x) (* -1/2 y)) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ x (* 1/2 x))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ x (+ (* -1/2 y) (* 1/2 x)))))
#s(approx (* -1/2 y) #s(hole binary64 (* -1/2 y)))
#s(approx y #s(hole binary64 y))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))))
#s(approx (+ (* 3/2 x) (* -1/2 y)) #s(hole binary64 (* y (- (* 3/2 (/ x y)) 1/2))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* y (- (* 1/2 (/ x y)) 1/2))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))))
#s(approx (+ (* 3/2 x) (* -1/2 y)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((+ x (/ (- x y) 2)) (* -1/2 y) -1/2 y (+ x (/ (- x y) 2)) (* 3/2 x) 3/2 x (+ x (/ (- x y) 2)) (+ (* 3/2 x) (* -1/2 y)) (+ x (/ (- x y) 2)) (/ (- x y) 2))
1.0ms	y	@	-inf	((+ x (/ (- x y) 2)) (* -1/2 y) -1/2 y (+ x (/ (- x y) 2)) (* 3/2 x) 3/2 x (+ x (/ (- x y) 2)) (+ (* 3/2 x) (* -1/2 y)) (+ x (/ (- x y) 2)) (/ (- x y) 2))
1.0ms	x	@	inf	((+ x (/ (- x y) 2)) (* -1/2 y) -1/2 y (+ x (/ (- x y) 2)) (* 3/2 x) 3/2 x (+ x (/ (- x y) 2)) (+ (* 3/2 x) (* -1/2 y)) (+ x (/ (- x y) 2)) (/ (- x y) 2))
1.0ms	y	@	inf	((+ x (/ (- x y) 2)) (* -1/2 y) -1/2 y (+ x (/ (- x y) 2)) (* 3/2 x) 3/2 x (+ x (/ (- x y) 2)) (+ (* 3/2 x) (* -1/2 y)) (+ x (/ (- x y) 2)) (/ (- x y) 2))
1.0ms	x	@	0	((+ x (/ (- x y) 2)) (* -1/2 y) -1/2 y (+ x (/ (- x y) 2)) (* 3/2 x) 3/2 x (+ x (/ (- x y) 2)) (+ (* 3/2 x) (* -1/2 y)) (+ x (/ (- x y) 2)) (/ (- x y) 2))

rewrite110.0ms (2.2%)

Memory

19.8MiB live, 111.5MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	436
0	93	416
1	415	413
0	3398	407

Stop Event

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

Counts

39 → 117

Calls

Call 1

Inputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
#s(literal 3/2 binary64)
x
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1/2 y)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ (* -1/2 y) (* 3/2 x))))
#s(approx (* 3/2 x) #s(hole binary64 (* 3/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* 3/2 x) (* -1/2 y)) #s(hole binary64 (* -1/2 y)))
#s(approx (+ (* 3/2 x) (* -1/2 y)) #s(hole binary64 (+ (* -1/2 y) (* 3/2 x))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* -1/2 y)))
#s(approx (/ (- x y) 2) #s(hole binary64 (+ (* -1/2 y) (* 1/2 x))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* 3/2 x)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* x (+ 3/2 (* -1/2 (/ y x))))))
#s(approx (+ (* 3/2 x) (* -1/2 y)) #s(hole binary64 (* 3/2 x)))
#s(approx (+ (* 3/2 x) (* -1/2 y)) #s(hole binary64 (* x (+ 3/2 (* -1/2 (/ y x))))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- x y) 2) #s(hole binary64 (* x (+ 1/2 (* -1/2 (/ y x))))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))))
#s(approx (+ (* 3/2 x) (* -1/2 y)) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ x (* 1/2 x))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ x (+ (* -1/2 y) (* 1/2 x)))))
#s(approx (* -1/2 y) #s(hole binary64 (* -1/2 y)))
#s(approx y #s(hole binary64 y))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))))
#s(approx (+ (* 3/2 x) (* -1/2 y)) #s(hole binary64 (* y (- (* 3/2 (/ x y)) 1/2))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* y (- (* 1/2 (/ x y)) 1/2))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))))
#s(approx (+ (* 3/2 x) (* -1/2 y)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))))
#s(approx (/ (- x y) 2) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))))

Outputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y #s(literal -1/2 binary64))
(neg.f64 (*.f64 #s(literal 1/2 binary64) y))
#s(literal -1/2 binary64)
y
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
(*.f64 x #s(literal 3/2 binary64))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) x) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 x (.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 3/2 binary64) x) (-.f64 x (.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (-.f64 x (.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 #s(literal 1/2 binary64) x) x) (*.f64 x x))))
(/.f64 (.f64 (.f64 #s(literal 3/2 binary64) x) (-.f64 x (.f64 #s(literal 1/2 binary64) x))) (-.f64 x (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (-.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 #s(literal 1/2 binary64) x) x) (*.f64 x x)))
(neg.f64 (*.f64 #s(literal -3/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x x)
(fma.f64 x #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/2 binary64) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 #s(literal 1/2 binary64) x))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 x (*.f64 #s(literal 1/2 binary64) x))))
(-.f64 x (*.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(-.f64 x (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 #s(literal 1/2 binary64) x) x) (.f64 x x))) (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 #s(literal 1/2 binary64) x) x) (*.f64 x x))))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) x))
#s(literal 3/2 binary64)
x
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
(/.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y x) (fma.f64 #s(literal -1/2 binary64) y x)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 (fma.f64 #s(literal -1/2 binary64) y x) (.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (-.f64 y x)) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x)) x))
(/.f64 (-.f64 (.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -3/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (.f64 (.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -3/2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y x) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y x) (fma.f64 #s(literal -1/2 binary64) y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (fma.f64 #s(literal -1/2 binary64) y x) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 #s(literal -1/2 binary64) (-.f64 y x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 y x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 y x)) (-.f64 (.f64 #s(literal -1/2 binary64) (-.f64 y x)) x) (.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (.f64 #s(literal 9/4 binary64) (.f64 x x)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 #s(literal -3/2 binary64) x))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal 1/2 binary64) y))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 3/2 binary64) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal 1/2 binary64) y))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (.f64 (.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (.f64 #s(literal 9/4 binary64) (.f64 x x))) (fma.f64 #s(literal -1/2 binary64) y (.f64 #s(literal -3/2 binary64) x)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 #s(literal -1/2 binary64) (-.f64 y x)) #s(literal 2 binary64))) (-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 y x))))
(/.f64 (-.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64))) (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal 1/2 binary64) y)))
(/.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 3/2 binary64) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal 1/2 binary64) y)))))
(/.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (.f64 (.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (-.f64 y x)) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x)) x))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 y x)) (-.f64 (.f64 #s(literal -1/2 binary64) (-.f64 y x)) x) (.f64 x x)))
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 #s(literal -1/2 binary64) y x))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) y x))
(fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 #s(literal -1/2 binary64) (-.f64 y x)))) (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (-.f64 y x)) #s(literal 2 binary64)) (-.f64 x (.f64 #s(literal -1/2 binary64) (-.f64 y x)))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) y (.f64 #s(literal -3/2 binary64) x))) (/.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x))))
(-.f64 (/.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal 1/2 binary64) y))) (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal 1/2 binary64) y))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y x) (*.f64 #s(literal -1/2 binary64) x))
(-.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(-.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 #s(literal 1/2 binary64) y))
(-.f64 (.f64 #s(literal -1/2 binary64) y) (-.f64 (.f64 #s(literal -1/2 binary64) x) x))
(-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal -3/2 binary64) x))
(-.f64 x (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/2 binary64) y)))
(-.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal -1/2 binary64) y)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 y x)) (-.f64 (.f64 #s(literal -1/2 binary64) (-.f64 y x)) x) (.f64 x x))) (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) (-.f64 y x)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 y x)) (-.f64 (.f64 #s(literal -1/2 binary64) (-.f64 y x)) x) (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 3/2 binary64) x) (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal 1/2 binary64) y))))) (/.f64 (.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 3/2 binary64) x) (fma.f64 #s(literal 3/2 binary64) x (.f64 #s(literal 1/2 binary64) y))))))
(+.f64 (/.f64 (.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (.f64 (.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y (.f64 #s(literal -3/2 binary64) x))))) (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)) (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (.f64 (.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y (.f64 #s(literal -3/2 binary64) x))))))
(+.f64 (fma.f64 #s(literal -1/2 binary64) y x) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 y x)) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal -1/2 binary64) y x))
(+.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 #s(literal -1/2 binary64) y))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(+.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 #s(approx (/ (- x y) 2) (.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (.f64 x x)) (-.f64 #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)) x))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 #s(approx (/ (- x y) 2) (.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (/ (- x y) 2) (.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (/ (- x y) 2) (.f64 #s(literal -1/2 binary64) y)) (-.f64 #s(approx (/ (- x y) 2) (.f64 #s(literal -1/2 binary64) y)) x) (.f64 x x))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 #s(approx (/ (- x y) 2) (.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64))) (-.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y))))
(/.f64 (+.f64 (pow.f64 #s(approx (/ (- x y) 2) (.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (/ (- x y) 2) (.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)) x))))
(/.f64 (+.f64 (pow.f64 #s(approx (/ (- x y) 2) (.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(approx (/ (- x y) 2) (.f64 #s(literal -1/2 binary64) y)) (-.f64 #s(approx (/ (- x y) 2) (.f64 #s(literal -1/2 binary64) y)) x) (.f64 x x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x #s(approx (/ (- x y) 2) (.f64 #s(literal -1/2 binary64) y)))) (/.f64 (pow.f64 #s(approx (/ (- x y) 2) (.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) (-.f64 x #s(approx (/ (- x y) 2) (.f64 #s(literal -1/2 binary64) y)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (- x y) 2) (.f64 #s(literal -1/2 binary64) y)) (-.f64 #s(approx (/ (- x y) 2) (.f64 #s(literal -1/2 binary64) y)) x) (.f64 x x))) (/.f64 (pow.f64 #s(approx (/ (- x y) 2) (.f64 #s(literal -1/2 binary64) y)) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (- x y) 2) (.f64 #s(literal -1/2 binary64) y)) (-.f64 #s(approx (/ (- x y) 2) (.f64 #s(literal -1/2 binary64) y)) x) (*.f64 x x))))
(+.f64 #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)) x)
(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (* 3/2 x) (*.f64 #s(literal 3/2 binary64) x))
#s(approx x x)
#s(approx (+ (* 3/2 x) (* -1/2 y)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* 3/2 x) (* -1/2 y)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) (-.f64 y x)))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ x (/ (- x y) 2)) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 3/2 binary64)) x))
#s(approx (+ (* 3/2 x) (* -1/2 y)) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ (* 3/2 x) (* -1/2 y)) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 3/2 binary64)) x))
#s(approx (/ (- x y) 2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- x y) 2) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x))
#s(approx (+ x (/ (- x y) 2)) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
#s(approx (+ (* 3/2 x) (* -1/2 y)) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
#s(approx (/ (- x y) 2) (.f64 (neg.f64 x) (-.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (* -1/2 y) (*.f64 #s(literal -1/2 binary64) y))
#s(approx y y)
#s(approx (+ x (/ (- x y) 2)) (.f64 (-.f64 (.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) y))
#s(approx (+ (* 3/2 x) (* -1/2 y)) (.f64 (-.f64 (.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) y))
#s(approx (/ (- x y) 2) (.f64 (-.f64 (.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) y))
#s(approx (+ x (/ (- x y) 2)) (*.f64 (neg.f64 y) (fma.f64 #s(literal -3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (+ (* 3/2 x) (* -1/2 y)) (*.f64 (neg.f64 y) (fma.f64 #s(literal -3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (/ (- x y) 2) (*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))

eval41.0ms (0.8%)

Memory: -29.3MiB live, 23.8MiB allocated; 8ms collecting garbage
Compiler: Compiled 2 725 to 384 computations (85.9% saved)

prune6.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	129	5	134

Accuracy

100.0%

Counts

134 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	58.7%	(+.f64 x #s(approx (/ (- x y) 2) (*.f64 #s(literal -1/2 binary64) y)))
✓	100.0%	#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
▶	99.9%	#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))
✓	52.2%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
✓	50.2%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 61 to 48 computations (21.3% saved)

series3.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated; 0ms collecting garbage

Counts

6 → 28

Calls

Call 1

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

Outputs
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1/2 y)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ (* -1/2 y) (* 3/2 x))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* -1/2 y)))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (+ (* -1/2 y) (* 3/2 x))))
#s(approx (- y x) #s(hole binary64 y))
#s(approx (- y x) #s(hole binary64 (+ y (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* 3/2 x)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* x (+ 3/2 (* -1/2 (/ y x))))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* 3/2 x)))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* x (+ 3/2 (* -1/2 (/ y x))))))
#s(approx (- y x) #s(hole binary64 (* -1 x)))
#s(approx (- y x) #s(hole binary64 (* x (- (/ y x) 1))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))))
#s(approx (- y x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ y x)))))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ x (* 1/2 x))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ x (+ (* -1/2 y) (* 1/2 x)))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (+ x (* 1/2 x))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (+ x (+ (* -1/2 y) (* 1/2 x)))))
#s(approx (- y x) #s(hole binary64 (- y x)))
#s(approx y #s(hole binary64 y))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))))
#s(approx (- y x) #s(hole binary64 (* y (+ 1 (* -1 (/ x y))))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))))
#s(approx (- y x) #s(hole binary64 (* -1 (* y (- (/ x y) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((+ x (/ (- x y) 2)) (+ (* -1/2 (- y x)) x) -1/2 (- y x) y x)
1.0ms	y	@	inf	((+ x (/ (- x y) 2)) (+ (* -1/2 (- y x)) x) -1/2 (- y x) y x)
0.0ms	x	@	-inf	((+ x (/ (- x y) 2)) (+ (* -1/2 (- y x)) x) -1/2 (- y x) y x)
0.0ms	y	@	-inf	((+ x (/ (- x y) 2)) (+ (* -1/2 (- y x)) x) -1/2 (- y x) y x)
0.0ms	x	@	0	((+ x (/ (- x y) 2)) (+ (* -1/2 (- y x)) x) -1/2 (- y x) y x)

rewrite116.0ms (2.3%)

Memory

0.5MiB live, 93.2MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	397
0	86	364
1	405	355
0	3504	351

Stop Event

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

Counts

34 → 93

Calls

Call 1

Inputs
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
#s(literal -1/2 binary64)
(-.f64 y x)
y
x
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1/2 y)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ (* -1/2 y) (* 3/2 x))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* -1/2 y)))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (+ (* -1/2 y) (* 3/2 x))))
#s(approx (- y x) #s(hole binary64 y))
#s(approx (- y x) #s(hole binary64 (+ y (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* 3/2 x)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* x (+ 3/2 (* -1/2 (/ y x))))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* 3/2 x)))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* x (+ 3/2 (* -1/2 (/ y x))))))
#s(approx (- y x) #s(hole binary64 (* -1 x)))
#s(approx (- y x) #s(hole binary64 (* x (- (/ y x) 1))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))))
#s(approx (- y x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ y x)))))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ x (* 1/2 x))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ x (+ (* -1/2 y) (* 1/2 x)))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (+ x (* 1/2 x))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (+ x (+ (* -1/2 y) (* 1/2 x)))))
#s(approx (- y x) #s(hole binary64 (- y x)))
#s(approx y #s(hole binary64 y))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))))
#s(approx (- y x) #s(hole binary64 (* y (+ 1 (* -1 (/ x y))))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))))
#s(approx (- y x) #s(hole binary64 (* -1 (* y (- (/ x y) 1)))))

Outputs
#s(approx (+ x (/ (- x y) 2)) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 3/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 #s(literal -1/2 binary64) y)))
(/.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y x) (fma.f64 #s(literal -1/2 binary64) y x)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal -1/2 binary64) y x) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -3/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (.f64 (.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -3/2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y x) (fma.f64 #s(literal -1/2 binary64) y x) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) y x) (.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (-.f64 (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 3/2 binary64) x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 3/2 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 3/2 binary64) x) (-.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 #s(literal -1/2 binary64) y))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (-.f64 y x) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 (-.f64 y x) #s(literal -1/2 binary64))) (pow.f64 (.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (-.f64 y x) #s(literal -1/2 binary64)) (-.f64 (.f64 (-.f64 y x) #s(literal -1/2 binary64)) x) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) x))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 x (*.f64 (-.f64 y x) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 3/2 binary64) x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x)))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 (-.f64 y x) #s(literal -1/2 binary64))) (pow.f64 (.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 (-.f64 y x) #s(literal -1/2 binary64)) (-.f64 (.f64 (-.f64 y x) #s(literal -1/2 binary64)) x) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 3/2 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 3/2 binary64)) x))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 3/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 3/2 binary64) x) (-.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 #s(literal -1/2 binary64) y)))))
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 #s(literal -1/2 binary64) y x))
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x)
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) y x))
(fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 y x) #s(literal -1/2 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (-.f64 y x) #s(literal -1/2 binary64)) x)))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) y (.f64 #s(literal -3/2 binary64) x))) (/.f64 (pow.f64 (.f64 #s(literal 3/2 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) y (.f64 #s(literal -3/2 binary64) x))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (-.f64 y x) #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 x (.f64 (-.f64 y x) #s(literal -1/2 binary64)))))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y x) (*.f64 #s(literal -1/2 binary64) x))
(-.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(-.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 #s(literal 1/2 binary64) y))
(-.f64 (.f64 #s(literal -1/2 binary64) y) (-.f64 (.f64 #s(literal -1/2 binary64) x) x))
(-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal -3/2 binary64) x))
(-.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 #s(literal -1/2 binary64) y)))
(-.f64 x (*.f64 (neg.f64 (-.f64 y x)) #s(literal -1/2 binary64)))
(-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 y x)))
(+.f64 (/.f64 (pow.f64 (.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (-.f64 y x) #s(literal -1/2 binary64))) (pow.f64 (.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (-.f64 y x) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64)) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 3/2 binary64) x) (-.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 #s(literal -1/2 binary64) y))))) (/.f64 (pow.f64 (.f64 #s(literal 3/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 3/2 binary64) x) (-.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 #s(literal -1/2 binary64) y))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (-.f64 y x) #s(literal -1/2 binary64)) (-.f64 (.f64 (-.f64 y x) #s(literal -1/2 binary64)) x) (.f64 x x))) (/.f64 (pow.f64 (.f64 (-.f64 y x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 (-.f64 y x) #s(literal -1/2 binary64)) (-.f64 (.f64 (-.f64 y x) #s(literal -1/2 binary64)) x) (*.f64 x x))))
(+.f64 (fma.f64 #s(literal -1/2 binary64) y x) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 (-.f64 y x) #s(literal -1/2 binary64)) x)
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal -1/2 binary64) y x))
(+.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 #s(literal -1/2 binary64) y))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(+.f64 x (*.f64 (-.f64 y x) #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x)))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (+.f64 y x))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 (neg.f64 x) y))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (+.f64 y x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(fma.f64 #s(literal -1 binary64) x y)
(fma.f64 x #s(literal -1 binary64) y)
(-.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 x x) (+.f64 y x)))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (.f64 x (+.f64 y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (.f64 x (+.f64 y x)))))
(-.f64 y (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(-.f64 y x)
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (.f64 x (+.f64 y x)))) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 y y (.f64 x (+.f64 y x)))))
(+.f64 (neg.f64 x) y)
(+.f64 y (neg.f64 x))
y
x
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (- x y) 2)) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))
#s(approx (+ (* -1/2 (- y x)) x) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* -1/2 (- y x)) x) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))
#s(approx (- y x) y)
#s(approx (- y x) (-.f64 y x))
#s(approx x x)
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ x (/ (- x y) 2)) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 3/2 binary64)) x))
#s(approx (+ (* -1/2 (- y x)) x) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ (* -1/2 (- y x)) x) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 3/2 binary64)) x))
#s(approx (- y x) (neg.f64 x))
#s(approx (- y x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x))
#s(approx (+ x (/ (- x y) 2)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 3/2 binary64)) (neg.f64 x)))
#s(approx (+ (* -1/2 (- y x)) x) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 3/2 binary64)) (neg.f64 x)))
#s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (neg.f64 x)))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ x (/ (- x y) 2)) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))
#s(approx (+ (* -1/2 (- y x)) x) (*.f64 #s(literal 3/2 binary64) x))
#s(approx (+ (* -1/2 (- y x)) x) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))
#s(approx (- y x) (-.f64 y x))
#s(approx y y)
#s(approx (+ x (/ (- x y) 2)) (.f64 (-.f64 (.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) y))
#s(approx (+ (* -1/2 (- y x)) x) (.f64 (-.f64 (.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) y))
#s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))
#s(approx (+ x (/ (- x y) 2)) (*.f64 (neg.f64 y) (fma.f64 #s(literal -3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (+ (* -1/2 (- y x)) x) (*.f64 (neg.f64 y) (fma.f64 #s(literal -3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (- y x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))

eval15.0ms (0.3%)

Memory: -23.0MiB live, 23.3MiB allocated; 5ms collecting garbage
Compiler: Compiled 1 999 to 326 computations (83.7% saved)

prune3.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	88	5	93

Accuracy

100.0%

Counts

93 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
✓	99.9%	#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))
▶	58.7%	#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal -1/2 binary64) #s(approx (- y x) y) x))
✓	52.2%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
✓	50.2%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 66 to 50 computations (24.2% saved)

series3.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated; 0ms collecting garbage

Counts

6 → 28

Calls

Call 1

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

Outputs
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1/2 y)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ (* -1/2 y) (* 3/2 x))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* -1/2 y)))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (+ (* -1/2 y) (* 3/2 x))))
#s(approx (- y x) #s(hole binary64 y))
#s(approx (- y x) #s(hole binary64 (+ y (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* 3/2 x)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* x (+ 3/2 (* -1/2 (/ y x))))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* 3/2 x)))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* x (+ 3/2 (* -1/2 (/ y x))))))
#s(approx (- y x) #s(hole binary64 (* -1 x)))
#s(approx (- y x) #s(hole binary64 (* x (- (/ y x) 1))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))))
#s(approx (- y x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ y x)))))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ x (* 1/2 x))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ x (+ (* -1/2 y) (* 1/2 x)))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (+ x (* 1/2 x))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (+ x (+ (* -1/2 y) (* 1/2 x)))))
#s(approx (- y x) #s(hole binary64 (- y x)))
#s(approx y #s(hole binary64 y))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))))
#s(approx (- y x) #s(hole binary64 (* y (+ 1 (* -1 (/ x y))))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))))
#s(approx (- y x) #s(hole binary64 (* -1 (* y (- (/ x y) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	((+ x (/ (- x y) 2)) (+ (* -1/2 (- y x)) x) -1/2 (- y x) y x)
0.0ms	x	@	inf	((+ x (/ (- x y) 2)) (+ (* -1/2 (- y x)) x) -1/2 (- y x) y x)
0.0ms	y	@	-inf	((+ x (/ (- x y) 2)) (+ (* -1/2 (- y x)) x) -1/2 (- y x) y x)
0.0ms	y	@	inf	((+ x (/ (- x y) 2)) (+ (* -1/2 (- y x)) x) -1/2 (- y x) y x)
0.0ms	x	@	0	((+ x (/ (- x y) 2)) (+ (* -1/2 (- y x)) x) -1/2 (- y x) y x)

rewrite131.0ms (2.6%)

Memory

-25.1MiB live, 123.7MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	412
0	85	381
1	416	374
0	3625	357

Stop Event

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

Counts

34 → 47

Calls

Call 1

Inputs
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal -1/2 binary64) #s(approx (- y x) y) x))
(fma.f64 #s(literal -1/2 binary64) #s(approx (- y x) y) x)
#s(literal -1/2 binary64)
#s(approx (- y x) y)
y
x
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1/2 y)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ (* -1/2 y) (* 3/2 x))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* -1/2 y)))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (+ (* -1/2 y) (* 3/2 x))))
#s(approx (- y x) #s(hole binary64 y))
#s(approx (- y x) #s(hole binary64 (+ y (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* 3/2 x)))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* x (+ 3/2 (* -1/2 (/ y x))))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* 3/2 x)))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* x (+ 3/2 (* -1/2 (/ y x))))))
#s(approx (- y x) #s(hole binary64 (* -1 x)))
#s(approx (- y x) #s(hole binary64 (* x (- (/ y x) 1))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))))
#s(approx (- y x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ y x)))))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ x (* 1/2 x))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (+ x (+ (* -1/2 y) (* 1/2 x)))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (+ x (* 1/2 x))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (+ x (+ (* -1/2 y) (* 1/2 x)))))
#s(approx (- y x) #s(hole binary64 (- y x)))
#s(approx y #s(hole binary64 y))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))))
#s(approx (- y x) #s(hole binary64 (* y (+ 1 (* -1 (/ x y))))))
#s(approx (+ x (/ (- x y) 2)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))))
#s(approx (+ (* -1/2 (- y x)) x) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))))
#s(approx (- y x) #s(hole binary64 (* -1 (* y (- (/ x y) 1)))))

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

eval5.0ms (0.1%)

Memory: 10.6MiB live, 10.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 909 to 140 computations (84.6% saved)

prune4.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	40	5	45

Accuracy

100.0%

Counts

45 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
✓	99.9%	#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))
✓	58.7%	#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal -1/2 binary64) #s(approx (- y x) y) x))
✓	52.2%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))
✓	50.2%	#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 150 to 77 computations (48.7% saved)

regimes11.0ms (0.2%)

Memory

-15.8MiB live, 29.6MiB allocated; 3ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
3.0ms	y
3.0ms	x

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes7.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.9%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0.1%)

Memory

15.5MiB live, 15.5MiB allocated; 0ms collecting garbage

Counts

4 → 3

Calls

Call 1

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

Outputs

#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))

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

#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
63.8%	2	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`
81.0%	3	`x`
77.7%	3	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes2.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated; 0ms collecting garbage

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
79.2%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes10.0ms (0.2%)

Memory

-42.8MiB live, 12.9MiB allocated; 6ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	y
4.0ms	x
1.0ms	(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
50.2%	1	`(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))`
50.2%	1	`y`
50.2%	1	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch71.0ms (1.4%)

Memory

-2.8MiB live, 43.5MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
54.0ms	1.7445876965486782e+70	4.950982999477368e+75
14.0ms	-7.987627852437799e+55	-1.6123581214613336e+43

Samples

11.0ms	274×	0	valid
2.0ms	17×	2	valid
1.0ms	12×	1	valid
0.0ms	1×	3	valid

Compiler

Compiled 523 to 429 computations (18% saved)

Precisions

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

ival-div: 2.0ms (25.3% of total)

ival-sub: 2.0ms (25.3% of total)

ival-add: 2.0ms (25.3% of total)

adjust: 1.0ms (12.6% of total)

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

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

exact: 0.0ms (0% of total)

bsearch14.0ms (0.3%)

Memory

4.5MiB live, 4.5MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.7445876965486782e+70	4.950982999477368e+75
11.0ms	-5.803104605869482e-105	-1.996559506969688e-112

Samples

6.0ms	143×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 406 to 371 computations (8.6% saved)

Precisions

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

ival-div: 1.0ms (35.6% of total)

ival-add: 1.0ms (35.6% of total)

ival-sub: 1.0ms (35.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

simplify41.0ms (0.8%)

Memory

12.5MiB live, 12.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	106
1	44	106
2	55	106
3	66	106
4	106	106
5	440	106
6	3602	106

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))
(if (<=.f64 x #s(literal -19000000000000000388601026151424815838265344 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal 3/2 binary64) x)) (if (<=.f64 x #s(literal 17500000000000000119928481027344970939011281806082246507514336083181568 binary64)) #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal -1/2 binary64) #s(approx (- y x) y) x)) #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal 3/2 binary64) x))))
(if (<=.f64 x #s(literal -8392312103782453/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal 3/2 binary64) x)) (if (<=.f64 x #s(literal 17500000000000000119928481027344970939011281806082246507514336083181568 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal -1/2 binary64) y)) #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

Outputs
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal -1/2 binary64) (-.f64 y x) x))
(if (<=.f64 x #s(literal -19000000000000000388601026151424815838265344 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal 3/2 binary64) x)) (if (<=.f64 x #s(literal 17500000000000000119928481027344970939011281806082246507514336083181568 binary64)) #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal -1/2 binary64) #s(approx (- y x) y) x)) #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal 3/2 binary64) x))))
(if (or (<=.f64 x #s(literal -19000000000000000388601026151424815838265344 binary64)) (not (<=.f64 x #s(literal 17500000000000000119928481027344970939011281806082246507514336083181568 binary64)))) #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x)) #s(approx (+ x (/ (- x y) 2)) (fma.f64 #s(literal -1/2 binary64) #s(approx (- y x) y) x)))
(if (<=.f64 x #s(literal -8392312103782453/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal 3/2 binary64) x)) (if (<=.f64 x #s(literal 17500000000000000119928481027344970939011281806082246507514336083181568 binary64)) #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal -1/2 binary64) y)) #s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal 3/2 binary64) x))))
(if (or (<=.f64 x #s(literal -8392312103782453/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376 binary64)) (not (<=.f64 x #s(literal 17500000000000000119928481027344970939011281806082246507514336083181568 binary64)))) #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal 3/2 binary64) x)) #s(approx (+ x (/ (- x y) 2)) (.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ x (/ (- x y) 2)) (*.f64 #s(literal -1/2 binary64) y))

derivations69.0ms (1.4%)

Memory

27.7MiB live, 71.8MiB allocated; 6ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 106 to 32 computations (69.8% saved)

preprocess36.0ms (0.7%)

Memory: -24.2MiB live, 74.4MiB allocated; 13ms collecting garbage
Compiler: Compiled 240 to 90 computations (62.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample3.6s (72%)

explain102.0ms (2.1%)

preprocess273.0ms (5.5%)

eval0.0ms (0%)

prune0.0ms (0%)

series4.0ms (0.1%)

rewrite239.0ms (4.8%)

eval58.0ms (1.2%)

prune3.0ms (0.1%)

series6.0ms (0.1%)

rewrite110.0ms (2.2%)

eval41.0ms (0.8%)

prune6.0ms (0.1%)

series3.0ms (0.1%)

rewrite116.0ms (2.3%)

eval15.0ms (0.3%)

prune3.0ms (0.1%)

series3.0ms (0.1%)

rewrite131.0ms (2.6%)

eval5.0ms (0.1%)

prune4.0ms (0.1%)

regimes11.0ms (0.2%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

regimes10.0ms (0.2%)

bsearch71.0ms (1.4%)

bsearch14.0ms (0.3%)

simplify41.0ms (0.8%)

derivations69.0ms (1.4%)

preprocess36.0ms (0.7%)

end0.0ms (0%)

Profiling