Metrics for Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, 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 13 to 12 computations (7.7% saved)

sample1.1s (30.4%)

Memory

23.5MiB live, 1 102.6MiB allocated; 220ms collecting garbage

Samples

809.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 543.0ms

ival-mult: 193.0ms (35.6% of total)

const: 188.0ms (34.6% of total)

ival-sub: 86.0ms (15.8% of total)

ival-add: 59.0ms (10.9% of total)

exact: 10.0ms (1.8% of total)

ival-assert: 3.0ms (0.6% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

explain156.0ms (4.3%)

Memory

12.8MiB live, 204.1MiB allocated; 47ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 y #s(literal 1 binary64))`
-	-	`#s(literal 1 binary64)`
-	-	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
-	-	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
-	-	`#s(literal 918938533204673/1000000000000000 binary64)`
-	-	`(*.f64 x (-.f64 y #s(literal 1 binary64)))`
-	-	`y`
-	-	`(*.f64 y #s(literal 1/2 binary64))`
-	-	`#s(literal 1/2 binary64)`
-	-	`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

62.0ms

512×

valid

Compiler

Compiled 87 to 34 computations (60.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

const: 18.0ms (55.8% of total)

ival-mult: 6.0ms (18.6% of total)

ival-sub: 5.0ms (15.5% of total)

ival-add: 2.0ms (6.2% of total)

exact: 1.0ms (3.1% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess262.0ms (7.2%)

Memory

-23.5MiB live, 221.6MiB allocated; 63ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	72
1	63	72
2	131	69
3	255	68
4	402	68
5	697	68
6	3934	66
0	10	11
0	15	11
1	25	11
2	43	11
3	79	11
4	133	11
5	352	11
6	2322	11
7	6164	11
0	8193	9

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Outputs

(+.f64 (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

(fma.f64 #s(literal -1/2 binary64) y (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)))

Compiler

Compiled 11 to 10 computations (9.1% 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

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Compiler

Compiled 11 to 10 computations (9.1% saved)

series8.0ms (0.2%)

Memory

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

Counts

10 → 36

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
x
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(*.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 918938533204673/1000000000000000 binary64)

Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (- 918938533204673/1000000000000000 (* 1/2 y))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* -1/2 y)))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (- (* x (- y 1)) (* 1/2 y))))
#s(approx (* x (- y 1)) #s(hole binary64 (* x (- y 1))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* x (- y 1))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* x (- y 1))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* x (- (+ y (* -1/2 (/ y x))) 1))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (+ 918938533204673/1000000000000000 (* -1 x))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* -1 x)))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (+ (* -1 x) (* y (- x 1/2)))))
#s(approx (* x (- y 1)) #s(hole binary64 (* -1 x)))
#s(approx (* x (- y 1)) #s(hole binary64 (+ (* -1 x) (* x y))))
#s(approx (- y 1) #s(hole binary64 -1))
#s(approx (- y 1) #s(hole binary64 (- y 1)))
#s(approx y #s(hole binary64 y))
#s(approx (* y 1/2) #s(hole binary64 (* 1/2 y)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* y (- x 1/2))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* y (- x 1/2))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* y (- (+ x (* -1 (/ x y))) 1/2))))
#s(approx (* x (- y 1)) #s(hole binary64 (* x y)))
#s(approx (* x (- y 1)) #s(hole binary64 (* y (+ x (* -1 (/ x y))))))
#s(approx (- y 1) #s(hole binary64 y))
#s(approx (- y 1) #s(hole binary64 (* y (- 1 (/ 1 y)))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 x))))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 x))))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))))
#s(approx (* x (- y 1)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (/ x y))))))
#s(approx (- y 1) #s(hole binary64 (* -1 (* y (- (/ 1 y) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- (* x (- y 1)) (* y 1/2)) (* x (- y 1)) x (- y 1) y 1 (* y 1/2) 1/2 918938533204673/1000000000000000)
1.0ms	y	@	-inf	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- (* x (- y 1)) (* y 1/2)) (* x (- y 1)) x (- y 1) y 1 (* y 1/2) 1/2 918938533204673/1000000000000000)
1.0ms	x	@	-inf	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- (* x (- y 1)) (* y 1/2)) (* x (- y 1)) x (- y 1) y 1 (* y 1/2) 1/2 918938533204673/1000000000000000)
1.0ms	x	@	inf	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- (* x (- y 1)) (* y 1/2)) (* x (- y 1)) x (- y 1) y 1 (* y 1/2) 1/2 918938533204673/1000000000000000)
1.0ms	x	@	0	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- (* x (- y 1)) (* y 1/2)) (* x (- y 1)) x (- y 1) y 1 (* y 1/2) 1/2 918938533204673/1000000000000000)

rewrite212.0ms (5.8%)

Memory

-1.4MiB live, 277.2MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	622
0	127	588
1	648	572
2	5933	572
0	8180	527

Stop Event

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

Counts

46 → 130

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
x
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(*.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 918938533204673/1000000000000000 binary64)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (- 918938533204673/1000000000000000 (* 1/2 y))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* -1/2 y)))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (- (* x (- y 1)) (* 1/2 y))))
#s(approx (* x (- y 1)) #s(hole binary64 (* x (- y 1))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* x (- y 1))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* x (- y 1))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* x (- (+ y (* -1/2 (/ y x))) 1))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (+ 918938533204673/1000000000000000 (* -1 x))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* -1 x)))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (+ (* -1 x) (* y (- x 1/2)))))
#s(approx (* x (- y 1)) #s(hole binary64 (* -1 x)))
#s(approx (* x (- y 1)) #s(hole binary64 (+ (* -1 x) (* x y))))
#s(approx (- y 1) #s(hole binary64 -1))
#s(approx (- y 1) #s(hole binary64 (- y 1)))
#s(approx y #s(hole binary64 y))
#s(approx (* y 1/2) #s(hole binary64 (* 1/2 y)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* y (- x 1/2))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* y (- x 1/2))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* y (- (+ x (* -1 (/ x y))) 1/2))))
#s(approx (* x (- y 1)) #s(hole binary64 (* x y)))
#s(approx (* x (- y 1)) #s(hole binary64 (* y (+ x (* -1 (/ x y))))))
#s(approx (- y 1) #s(hole binary64 y))
#s(approx (- y 1) #s(hole binary64 (* y (- 1 (/ 1 y)))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 x))))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 x))))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))))
#s(approx (* x (- y 1)) #s(hole binary64 (* -1 (* y (+ (* -1 x) (/ x y))))))
#s(approx (- y 1) #s(hole binary64 (* -1 (* y (- (/ 1 y) 1)))))

Outputs
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal 1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64))))
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64)) (.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) (fma.f64 #s(literal 1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) (.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 #s(literal -1/2 binary64) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (.f64 (.f64 y y) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (.f64 (.f64 y y) #s(literal 1/4 binary64))) (fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 918938533204673/1000000000000000 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 3 binary64))) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 918938533204673/1000000000000000 binary64)))))
(/.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 3 binary64))) (fma.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 2 binary64))))
(fma.f64 (neg.f64 y) #s(literal 1/2 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 y #s(literal -1/2 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 x (+.f64 #s(literal -1 binary64) y) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 x (-.f64 y #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 918938533204673/1000000000000000 binary64))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 918938533204673/1000000000000000 binary64))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)))) (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)))))
(-.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(-.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 #s(literal 1/2 binary64) y))
(-.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal -918938533204673/1000000000000000 binary64))
(-.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) (fma.f64 #s(literal 1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (neg.f64 x) (-.f64 y #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) y)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (.f64 (neg.f64 x) (-.f64 y #s(literal 1 binary64))) (.f64 #s(literal -1/2 binary64) y)))
(+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 3 binary64)) (fma.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 2 binary64)))) (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 #s(literal -1/2 binary64) y))
(+.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64)) (.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) (.f64 #s(literal -1/2 binary64) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 2 binary64)) (.f64 (.f64 y y) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) y)) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 2 binary64)) (.f64 (.f64 y y) #s(literal 1/4 binary64))) (fma.f64 (-.f64 y #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) y)))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) y)) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 2 binary64))))
(fma.f64 (neg.f64 y) #s(literal 1/2 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(fma.f64 x (+.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 x (-.f64 y #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) y))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) y))) (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x (*.f64 #s(literal 1/2 binary64) y))))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) y)) (pow.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 2 binary64)))) (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) y)) (pow.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 2 binary64)))))
(-.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) (.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(-.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) (.f64 #s(literal 1/2 binary64) y))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 (-.f64 y #s(literal 1 binary64)) x))
(+.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) (.f64 #s(literal -1/2 binary64) y))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (*.f64 y x) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 y) x) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (neg.f64 x) (.f64 (neg.f64 y) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) y))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 y x) (-.f64 (.f64 y x) (neg.f64 x)) (.f64 x x))))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (*.f64 x (-.f64 #s(literal -1 binary64) y)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (*.f64 (neg.f64 x) x) y))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (.f64 y x) (-.f64 (.f64 y x) (neg.f64 x)) (.f64 x x)))
(fma.f64 #s(literal -1 binary64) x (*.f64 y x))
(fma.f64 y x (neg.f64 x))
(fma.f64 x #s(literal -1 binary64) (*.f64 y x))
(fma.f64 x y (neg.f64 x))
(-.f64 (/.f64 (.f64 x x) (.f64 x (-.f64 #s(literal -1 binary64) y))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal -1 binary64) y))))
(-.f64 (.f64 y x) (.f64 (neg.f64 x) #s(literal -1 binary64)))
(-.f64 (*.f64 y x) x)
(-.f64 (neg.f64 x) (*.f64 (neg.f64 y) x))
(+.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (.f64 y x) (-.f64 (.f64 y x) (neg.f64 x)) (.f64 x x))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 y x) (-.f64 (.f64 y x) (neg.f64 x)) (*.f64 x x))))
(+.f64 (*.f64 y x) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 y x))
x
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (-.f64 y #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64)))))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64))) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))
(-.f64 y #s(literal 1 binary64))
(+.f64 y #s(literal -1 binary64))
y
#s(literal 1 binary64)
(*.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)
#s(literal 918938533204673/1000000000000000 binary64)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))))
#s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (- (* x (- y 1)) (* y 1/2)) (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)))
#s(approx (* x (- y 1)) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
#s(approx x x)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (+.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x) #s(literal 1 binary64)) y) x))
#s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
#s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) (-.f64 y #s(literal 1 binary64))) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (-.f64 y #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x))))
#s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) (neg.f64 (-.f64 y #s(literal 1 binary64))))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
#s(approx (- (* x (- y 1)) (* y 1/2)) (neg.f64 x))
#s(approx (- (* x (- y 1)) (* y 1/2)) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x)))
#s(approx (* x (- y 1)) (neg.f64 x))
#s(approx (* x (- y 1)) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
#s(approx (- y 1) #s(literal -1 binary64))
#s(approx (- y 1) (-.f64 y #s(literal 1 binary64)))
#s(approx y y)
#s(approx (* y 1/2) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) x) #s(literal 1/2 binary64)) y))
#s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
#s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 (-.f64 x (/.f64 x y)) #s(literal 1/2 binary64)) y))
#s(approx (* x (- y 1)) (*.f64 y x))
#s(approx (* x (- y 1)) (*.f64 (-.f64 x (/.f64 x y)) y))
#s(approx (- y 1) y)
#s(approx (- y 1) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (neg.f64 y) (-.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (neg.f64 y) (-.f64 (-.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))))
#s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (neg.f64 y) (-.f64 #s(literal 1/2 binary64) x)))
#s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 x y)))))
#s(approx (* x (- y 1)) (*.f64 (neg.f64 y) (-.f64 (/.f64 x y) x)))
#s(approx (- y 1) (*.f64 (neg.f64 y) (-.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))

eval16.0ms (0.4%)

Memory: -13.4MiB live, 32.9MiB allocated; 4ms collecting garbage
Compiler: Compiled 2 515 to 454 computations (81.9% saved)

prune6.0ms (0.2%)

Memory

17.2MiB live, 17.2MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	124	7	131
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	125	7	132

Accuracy

100.0%

Counts

132 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
	76.5%	(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64))
	100.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
▶	47.8%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
▶	43.3%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
▶	53.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
▶	58.1%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))

Compiler

Compiled 222 to 186 computations (16.2% saved)

series8.0ms (0.2%)

Memory

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

Counts

17 → 56

Calls

Call 1

Inputs
(fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
x
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
#s(literal -1/2 binary64)
#s(literal 918938533204673/1000000000000000 binary64)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
(-.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)

Outputs
#s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) #s(hole binary64 (+ 918938533204673/1000000000000000 (* -1/2 y))))
#s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) #s(hole binary64 (+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (- 918938533204673/1000000000000000 (* 1/2 y))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))))
#s(approx (- 918938533204673/1000000000000000 x) #s(hole binary64 918938533204673/1000000000000000))
#s(approx (- 918938533204673/1000000000000000 x) #s(hole binary64 (+ 918938533204673/1000000000000000 (* -1 x))))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* -1/2 y)))
#s(approx (* (- x 1/2) y) #s(hole binary64 (+ (* -1/2 y) (* x y))))
#s(approx (- x 1/2) #s(hole binary64 -1/2))
#s(approx (- x 1/2) #s(hole binary64 (- x 1/2)))
#s(approx (* (- y 1) x) #s(hole binary64 (* x (- y 1))))
#s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) #s(hole binary64 (* x (- y 1))))
#s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) #s(hole binary64 (* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* x (- y 1))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))))
#s(approx (- 918938533204673/1000000000000000 x) #s(hole binary64 (* -1 x)))
#s(approx (- 918938533204673/1000000000000000 x) #s(hole binary64 (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* x y)))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* x (+ y (* -1/2 (/ y x))))))
#s(approx (- x 1/2) #s(hole binary64 x))
#s(approx (- x 1/2) #s(hole binary64 (* x (- 1 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) #s(hole binary64 (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))))
#s(approx (- 918938533204673/1000000000000000 x) #s(hole binary64 (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))))
#s(approx (- x 1/2) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))))
#s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) #s(hole binary64 (+ 918938533204673/1000000000000000 (* -1 x))))
#s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) #s(hole binary64 (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))))
#s(approx (- y 1) #s(hole binary64 -1))
#s(approx (- y 1) #s(hole binary64 (- y 1)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* -1/2 y) 918938533204673/1000000000000000) #s(hole binary64 918938533204673/1000000000000000))
#s(approx (+ (* -1/2 y) 918938533204673/1000000000000000) #s(hole binary64 (+ 918938533204673/1000000000000000 (* -1/2 y))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (+ 918938533204673/1000000000000000 (* -1 x))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* y (- x 1/2))))
#s(approx (* (- y 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- y 1) x) #s(hole binary64 (+ (* -1 x) (* x y))))
#s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) #s(hole binary64 (* y (- x 1/2))))
#s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) #s(hole binary64 (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))))
#s(approx (- y 1) #s(hole binary64 y))
#s(approx (- y 1) #s(hole binary64 (* y (- 1 (/ 1 y)))))
#s(approx (+ (* -1/2 y) 918938533204673/1000000000000000) #s(hole binary64 (* -1/2 y)))
#s(approx (+ (* -1/2 y) 918938533204673/1000000000000000) #s(hole binary64 (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* y (- x 1/2))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))))
#s(approx (* (- y 1) x) #s(hole binary64 (* x y)))
#s(approx (* (- y 1) x) #s(hole binary64 (* y (+ x (* -1 (/ x y))))))
#s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 x))))))
#s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) #s(hole binary64 (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))))
#s(approx (- y 1) #s(hole binary64 (* -1 (* y (- (/ 1 y) 1)))))
#s(approx (+ (* -1/2 y) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 x))))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))))
#s(approx (* (- y 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 x) (/ x y))))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) (- y 1) y 1 x (+ (* -1/2 y) 918938533204673/1000000000000000) -1/2 918938533204673/1000000000000000 (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2) 1/2 (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x))
1.0ms	y	@	-inf	((+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) (- y 1) y 1 x (+ (* -1/2 y) 918938533204673/1000000000000000) -1/2 918938533204673/1000000000000000 (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2) 1/2 (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x))
1.0ms	x	@	inf	((+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) (- y 1) y 1 x (+ (* -1/2 y) 918938533204673/1000000000000000) -1/2 918938533204673/1000000000000000 (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2) 1/2 (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x))
1.0ms	y	@	inf	((+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) (- y 1) y 1 x (+ (* -1/2 y) 918938533204673/1000000000000000) -1/2 918938533204673/1000000000000000 (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2) 1/2 (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x))
1.0ms	x	@	0	((+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) (- y 1) y 1 x (+ (* -1/2 y) 918938533204673/1000000000000000) -1/2 918938533204673/1000000000000000 (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2) 1/2 (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x))

rewrite274.0ms (7.5%)

Memory

-38.9MiB live, 252.2MiB allocated; 125ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	174	936
0	183	849
1	908	807
2	7952	807
0	8064	804

Stop Event

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

Counts

73 → 234

Calls

Call 1

Inputs
(fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
x
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
#s(literal -1/2 binary64)
#s(literal 918938533204673/1000000000000000 binary64)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
(-.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
#s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) #s(hole binary64 (+ 918938533204673/1000000000000000 (* -1/2 y))))
#s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) #s(hole binary64 (+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (- 918938533204673/1000000000000000 (* 1/2 y))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))))
#s(approx (- 918938533204673/1000000000000000 x) #s(hole binary64 918938533204673/1000000000000000))
#s(approx (- 918938533204673/1000000000000000 x) #s(hole binary64 (+ 918938533204673/1000000000000000 (* -1 x))))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* -1/2 y)))
#s(approx (* (- x 1/2) y) #s(hole binary64 (+ (* -1/2 y) (* x y))))
#s(approx (- x 1/2) #s(hole binary64 -1/2))
#s(approx (- x 1/2) #s(hole binary64 (- x 1/2)))
#s(approx (* (- y 1) x) #s(hole binary64 (* x (- y 1))))
#s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) #s(hole binary64 (* x (- y 1))))
#s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) #s(hole binary64 (* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* x (- y 1))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))))
#s(approx (- 918938533204673/1000000000000000 x) #s(hole binary64 (* -1 x)))
#s(approx (- 918938533204673/1000000000000000 x) #s(hole binary64 (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* x y)))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* x (+ y (* -1/2 (/ y x))))))
#s(approx (- x 1/2) #s(hole binary64 x))
#s(approx (- x 1/2) #s(hole binary64 (* x (- 1 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) #s(hole binary64 (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x)))))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))))
#s(approx (- 918938533204673/1000000000000000 x) #s(hole binary64 (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))))
#s(approx (- x 1/2) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))))
#s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) #s(hole binary64 (+ 918938533204673/1000000000000000 (* -1 x))))
#s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) #s(hole binary64 (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))))
#s(approx (- y 1) #s(hole binary64 -1))
#s(approx (- y 1) #s(hole binary64 (- y 1)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* -1/2 y) 918938533204673/1000000000000000) #s(hole binary64 918938533204673/1000000000000000))
#s(approx (+ (* -1/2 y) 918938533204673/1000000000000000) #s(hole binary64 (+ 918938533204673/1000000000000000 (* -1/2 y))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (+ 918938533204673/1000000000000000 (* -1 x))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* y (- x 1/2))))
#s(approx (* (- y 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- y 1) x) #s(hole binary64 (+ (* -1 x) (* x y))))
#s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) #s(hole binary64 (* y (- x 1/2))))
#s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) #s(hole binary64 (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))))
#s(approx (- y 1) #s(hole binary64 y))
#s(approx (- y 1) #s(hole binary64 (* y (- 1 (/ 1 y)))))
#s(approx (+ (* -1/2 y) 918938533204673/1000000000000000) #s(hole binary64 (* -1/2 y)))
#s(approx (+ (* -1/2 y) 918938533204673/1000000000000000) #s(hole binary64 (* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* y (- x 1/2))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))))
#s(approx (* (- y 1) x) #s(hole binary64 (* x y)))
#s(approx (* (- y 1) x) #s(hole binary64 (* y (+ x (* -1 (/ x y))))))
#s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 x))))))
#s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) #s(hole binary64 (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))))
#s(approx (- y 1) #s(hole binary64 (* -1 (* y (- (/ 1 y) 1)))))
#s(approx (+ (* -1/2 y) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 x))))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))))
#s(approx (* (- y 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 x) (/ x y))))))

Outputs
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (.f64 (-.f64 y #s(literal 1 binary64)) x)))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) (fma.f64 #s(literal 1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) (.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 #s(literal -1/2 binary64) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 y y)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) y (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (neg.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) (fma.f64 #s(literal 1/2 binary64) y (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))) (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)))))
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(fma.f64 (neg.f64 y) #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
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(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
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(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 (neg.f64 y) #s(literal -1/2 binary64)))
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(+.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y))
#s(literal -1/2 binary64)
#s(literal 918938533204673/1000000000000000 binary64)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (-.f64 (neg.f64 x) #s(literal 918938533204673/1000000000000000 binary64)))
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(fma.f64 #s(literal -1 binary64) x #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))
(-.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(-.f64 (neg.f64 x) #s(literal -918938533204673/1000000000000000 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))
(+.f64 (neg.f64 x) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
(*.f64 y (-.f64 #s(literal -1/2 binary64) (neg.f64 x)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1/4 binary64)) y) (-.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) y) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64))))
(/.f64 (*.f64 y (fma.f64 x x #s(literal -1/4 binary64))) (-.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (-.f64 (.f64 x y) (*.f64 #s(literal -1/2 binary64) y)))
(/.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (.f64 (neg.f64 y) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (+.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) y) (*.f64 (neg.f64 y) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (neg.f64 (.f64 y (-.f64 #s(literal -1/2 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 #s(literal -1/2 binary64) y))))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (.f64 y (-.f64 #s(literal -1/2 binary64) x)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) y) y) x))))
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(fma.f64 (neg.f64 y) #s(literal 1/2 binary64) (*.f64 x y))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) y) (.f64 x y))
(fma.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64) (.f64 x y))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (*.f64 x y))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 x y))
(fma.f64 x y (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x y))
(fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 y (-.f64 #s(literal -1/2 binary64) x))) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal -1/2 binary64) x))))
(-.f64 (.f64 x y) (.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(-.f64 (.f64 x y) (.f64 #s(literal 1/2 binary64) y))
(-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 (neg.f64 y) x))
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(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x y))
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(/.f64 (fma.f64 x x #s(literal -1/4 binary64)) (-.f64 x #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2 binary64) x))
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(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 x #s(literal -1/2 binary64))))
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(-.f64 x #s(literal 1/2 binary64))
(+.f64 #s(literal -1/2 binary64) x)
(+.f64 x #s(literal -1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (*.f64 x y) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 y) x) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (neg.f64 x) (.f64 (neg.f64 y) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) y))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (neg.f64 x)) (.f64 x x))))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (*.f64 x (-.f64 #s(literal -1 binary64) y)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (*.f64 (neg.f64 x) x) y))))
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(fma.f64 #s(literal -1 binary64) x (*.f64 x y))
(fma.f64 x #s(literal -1 binary64) (*.f64 x y))
(fma.f64 x y (neg.f64 x))
(fma.f64 y x (neg.f64 x))
(-.f64 (/.f64 (.f64 x x) (.f64 x (-.f64 #s(literal -1 binary64) y))) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x (-.f64 #s(literal -1 binary64) y))))
(-.f64 (.f64 x y) (.f64 (neg.f64 x) #s(literal -1 binary64)))
(-.f64 (*.f64 x y) x)
(-.f64 (neg.f64 x) (*.f64 (neg.f64 y) x))
(+.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (neg.f64 x)) (.f64 x x))) (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (neg.f64 x)) (*.f64 x x))))
(+.f64 (*.f64 x y) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 x y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))))
#s(approx x x)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))))
#s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (- 918938533204673/1000000000000000 x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (* (- x 1/2) y) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (* (- x 1/2) y) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
#s(approx (- x 1/2) #s(literal -1/2 binary64))
#s(approx (- x 1/2) (-.f64 x #s(literal 1/2 binary64)))
#s(approx (* (- y 1) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x))) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x))) x))
#s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))
#s(approx (- 918938533204673/1000000000000000 x) (*.f64 (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64)) x))
#s(approx (* (- x 1/2) y) (*.f64 x y))
#s(approx (* (- x 1/2) y) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) y) x))
#s(approx (- x 1/2) x)
#s(approx (- x 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64)) x)) (neg.f64 x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64)) x)) (neg.f64 x)))
#s(approx (- 918938533204673/1000000000000000 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (neg.f64 x)))
#s(approx (* (- x 1/2) y) (*.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) (neg.f64 y)) (neg.f64 x)))
#s(approx (- x 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
#s(approx (- y 1) #s(literal -1 binary64))
#s(approx (- y 1) (-.f64 y #s(literal 1 binary64)))
#s(approx y y)
#s(approx (+ (* -1/2 y) 918938533204673/1000000000000000) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (+ (* -1/2 y) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
#s(approx (* (- x 1/2) y) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
#s(approx (* (- y 1) x) (neg.f64 x))
#s(approx (* (- y 1) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) x) #s(literal 1/2 binary64)) y))
#s(approx (- y 1) y)
#s(approx (- y 1) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) y))
#s(approx (+ (* -1/2 y) 918938533204673/1000000000000000) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (+ (* -1/2 y) 918938533204673/1000000000000000) (*.f64 (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal 1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) x) #s(literal 1/2 binary64)) y))
#s(approx (* (- y 1) x) (*.f64 x y))
#s(approx (* (- y 1) x) (*.f64 (-.f64 x (/.f64 x y)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 #s(literal 1/2 binary64) x) (neg.f64 y)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 (-.f64 (/.f64 (+.f64 #s(literal -918938533204673/1000000000000000 binary64) x) y) x) #s(literal -1/2 binary64)) (neg.f64 y)))
#s(approx (- y 1) (*.f64 (-.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 y)))
#s(approx (+ (* -1/2 y) 918938533204673/1000000000000000) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (neg.f64 y)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 #s(literal 1/2 binary64) x) (neg.f64 y)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 (-.f64 (/.f64 (+.f64 #s(literal -918938533204673/1000000000000000 binary64) x) y) x) #s(literal -1/2 binary64)) (neg.f64 y)))
#s(approx (* (- y 1) x) (*.f64 (-.f64 (/.f64 x y) x) (neg.f64 y)))

eval31.0ms (0.8%)

Memory: 31.5MiB live, 77.2MiB allocated; 4ms collecting garbage
Compiler: Compiled 6 085 to 750 computations (87.7% saved)

prune16.0ms (0.4%)

Memory

-5.1MiB live, 40.9MiB allocated; 5ms collecting garbage

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	274	5	279
Fresh	0	2	2
Picked	0	5	5
Done	0	0	0
Total	274	12	286

Accuracy

100.0%

Counts

286 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
	76.5%	(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64))
▶	100.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
	58.1%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y #s(literal -1/2 binary64) (*.f64 x y)))
✓	47.8%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
✓	43.3%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
✓	53.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
✓	58.1%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
▶	29.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- y 1) y) x))
▶	29.3%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
▶	24.6%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
▶	21.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))

Compiler

Compiled 330 to 263 computations (20.3% saved)

series12.0ms (0.3%)

Memory

-34.9MiB live, 18.1MiB allocated; 7ms collecting garbage

Counts

20 → 52

Calls

Call 1

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(-.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
#s(literal 918938533204673/1000000000000000 binary64)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
#s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))
(neg.f64 x)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
(*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)
#s(approx (- x 1/2) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- y 1) y) x))
(*.f64 #s(approx (- y 1) y) x)
#s(approx (- y 1) y)

Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (- 918938533204673/1000000000000000 (* 1/2 y))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))))
#s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) #s(hole binary64 (+ 918938533204673/1000000000000000 (* -1/2 y))))
#s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) #s(hole binary64 (+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))))
#s(approx (- x 1/2) #s(hole binary64 -1/2))
#s(approx (- x 1/2) #s(hole binary64 (- x 1/2)))
#s(approx x #s(hole binary64 x))
#s(approx (- 918938533204673/1000000000000000 x) #s(hole binary64 918938533204673/1000000000000000))
#s(approx (- 918938533204673/1000000000000000 x) #s(hole binary64 (+ 918938533204673/1000000000000000 (* -1 x))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* -1/2 y)))
#s(approx (* (- x 1/2) y) #s(hole binary64 (+ (* -1/2 y) (* x y))))
#s(approx (* (- y 1) x) #s(hole binary64 (* x (- y 1))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* x (- y 1))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))))
#s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) #s(hole binary64 (* x (- y 1))))
#s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) #s(hole binary64 (* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))))
#s(approx (- x 1/2) #s(hole binary64 x))
#s(approx (- x 1/2) #s(hole binary64 (* x (- 1 (* 1/2 (/ 1 x))))))
#s(approx (- 918938533204673/1000000000000000 x) #s(hole binary64 (* -1 x)))
#s(approx (- 918938533204673/1000000000000000 x) #s(hole binary64 (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* x y)))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* x (+ y (* -1/2 (/ y x))))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))))
#s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) #s(hole binary64 (* -1 (* x (+ 1 (* -1 y))))))
#s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x))))))))
#s(approx (- x 1/2) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))))
#s(approx (- 918938533204673/1000000000000000 x) #s(hole binary64 (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (+ 918938533204673/1000000000000000 (* -1 x))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))))
#s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) #s(hole binary64 (- 918938533204673/1000000000000000 x)))
#s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) #s(hole binary64 (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)))
#s(approx y #s(hole binary64 y))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* y (- x 1/2))))
#s(approx (* (- y 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- y 1) x) #s(hole binary64 (+ (* -1 x) (* x y))))
#s(approx (- y 1) #s(hole binary64 -1))
#s(approx (- y 1) #s(hole binary64 (- y 1)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* y (- x 1/2))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))))
#s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) #s(hole binary64 (* y (- x 1/2))))
#s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) #s(hole binary64 (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))))
#s(approx (* (- y 1) x) #s(hole binary64 (* x y)))
#s(approx (* (- y 1) x) #s(hole binary64 (* y (+ x (* -1 (/ x y))))))
#s(approx (- y 1) #s(hole binary64 y))
#s(approx (- y 1) #s(hole binary64 (* y (- 1 (/ 1 y)))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 x))))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))))
#s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) #s(hole binary64 (* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))))
#s(approx (* (- y 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 x) (/ x y))))))
#s(approx (- y 1) #s(hole binary64 (* -1 (* y (- (/ 1 y) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (- x 1/2) x 1/2 y (- 918938533204673/1000000000000000 x) 918938533204673/1000000000000000 (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (neg x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2) -1/2 (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (- y 1))
1.0ms	x	@	-inf	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (- x 1/2) x 1/2 y (- 918938533204673/1000000000000000 x) 918938533204673/1000000000000000 (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (neg x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2) -1/2 (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (- y 1))
1.0ms	y	@	inf	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (- x 1/2) x 1/2 y (- 918938533204673/1000000000000000 x) 918938533204673/1000000000000000 (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (neg x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2) -1/2 (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (- y 1))
1.0ms	x	@	inf	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (- x 1/2) x 1/2 y (- 918938533204673/1000000000000000 x) 918938533204673/1000000000000000 (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (neg x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2) -1/2 (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (- y 1))
1.0ms	x	@	0	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (- x 1/2) x 1/2 y (- 918938533204673/1000000000000000 x) 918938533204673/1000000000000000 (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (neg x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2) -1/2 (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (- y 1))

rewrite208.0ms (5.7%)

Memory

23.8MiB live, 256.0MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	182	915
0	187	856
1	1012	835
0	8888	790

Stop Event

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

Counts

72 → 137

Calls

Call 1

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(-.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
y
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
#s(literal 918938533204673/1000000000000000 binary64)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
#s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))
(neg.f64 x)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
(*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)
#s(approx (- x 1/2) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- y 1) y) x))
(*.f64 #s(approx (- y 1) y) x)
#s(approx (- y 1) y)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (- 918938533204673/1000000000000000 (* 1/2 y))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))))
#s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) #s(hole binary64 (+ 918938533204673/1000000000000000 (* -1/2 y))))
#s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) #s(hole binary64 (+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))))
#s(approx (- x 1/2) #s(hole binary64 -1/2))
#s(approx (- x 1/2) #s(hole binary64 (- x 1/2)))
#s(approx x #s(hole binary64 x))
#s(approx (- 918938533204673/1000000000000000 x) #s(hole binary64 918938533204673/1000000000000000))
#s(approx (- 918938533204673/1000000000000000 x) #s(hole binary64 (+ 918938533204673/1000000000000000 (* -1 x))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* -1/2 y)))
#s(approx (* (- x 1/2) y) #s(hole binary64 (+ (* -1/2 y) (* x y))))
#s(approx (* (- y 1) x) #s(hole binary64 (* x (- y 1))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* x (- y 1))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))))
#s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) #s(hole binary64 (* x (- y 1))))
#s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) #s(hole binary64 (* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))))
#s(approx (- x 1/2) #s(hole binary64 x))
#s(approx (- x 1/2) #s(hole binary64 (* x (- 1 (* 1/2 (/ 1 x))))))
#s(approx (- 918938533204673/1000000000000000 x) #s(hole binary64 (* -1 x)))
#s(approx (- 918938533204673/1000000000000000 x) #s(hole binary64 (* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* x y)))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* x (+ y (* -1/2 (/ y x))))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))))
#s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) #s(hole binary64 (* -1 (* x (+ 1 (* -1 y))))))
#s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x))))))))
#s(approx (- x 1/2) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))))
#s(approx (- 918938533204673/1000000000000000 x) #s(hole binary64 (* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (+ 918938533204673/1000000000000000 (* -1 x))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))))
#s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) #s(hole binary64 (- 918938533204673/1000000000000000 x)))
#s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) #s(hole binary64 (- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)))
#s(approx y #s(hole binary64 y))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* y (- x 1/2))))
#s(approx (* (- y 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- y 1) x) #s(hole binary64 (+ (* -1 x) (* x y))))
#s(approx (- y 1) #s(hole binary64 -1))
#s(approx (- y 1) #s(hole binary64 (- y 1)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* y (- x 1/2))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))))
#s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) #s(hole binary64 (* y (- x 1/2))))
#s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) #s(hole binary64 (* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))))
#s(approx (* (- y 1) x) #s(hole binary64 (* x y)))
#s(approx (* (- y 1) x) #s(hole binary64 (* y (+ x (* -1 (/ x y))))))
#s(approx (- y 1) #s(hole binary64 y))
#s(approx (- y 1) #s(hole binary64 (* y (- 1 (/ 1 y)))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 x))))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))))
#s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) #s(hole binary64 (* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))))
#s(approx (* (- y 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 x) (/ x y))))))
#s(approx (- y 1) #s(hole binary64 (* -1 (* y (- (/ 1 y) 1)))))

Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x)) #s(literal 2 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (-.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x)) #s(literal 918938533204673/1000000000000000 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x)) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (+.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x)) #s(literal 918938533204673/1000000000000000 binary64)))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (*.f64 x (+.f64 x (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(literal 918938533204673/1000000000000000 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 x #s(literal 1/2 binary64)) y))))))
(/.f64 (neg.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x)))))
(/.f64 (neg.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x)) (-.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x)) #s(literal 918938533204673/1000000000000000 binary64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 2 binary64))) (-.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (*.f64 x (+.f64 x (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(literal 918938533204673/1000000000000000 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)))))
(/.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x)) (-.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x)) #s(literal 918938533204673/1000000000000000 binary64)))))
(fma.f64 #s(literal -1 binary64) x (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(fma.f64 y (-.f64 #s(literal -1/2 binary64) (neg.f64 x)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(fma.f64 y (-.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(fma.f64 x #s(literal -1 binary64) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(literal 918938533204673/1000000000000000 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) (/.f64 (*.f64 x x) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) (/.f64 (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) y) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (.f64 x (+.f64 x (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(literal 918938533204673/1000000000000000 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (.f64 x (+.f64 x (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(literal 918938533204673/1000000000000000 binary64)))))))
(-.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x)))) (/.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x)))))
(-.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(literal 918938533204673/1000000000000000 binary64)) x)
(-.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x)) #s(literal -918938533204673/1000000000000000 binary64))
(-.f64 (neg.f64 x) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) x) y) #s(literal 918938533204673/1000000000000000 binary64)))
(-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 (-.f64 #s(literal 1/2 binary64) x) y))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 x (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)))
(+.f64 (/.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 x #s(literal 1/2 binary64)) y))))) (/.f64 (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))))))
(+.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x)) (-.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x)) #s(literal 918938533204673/1000000000000000 binary64))))) (/.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x)) #s(literal 3 binary64)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x)) (-.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x)) #s(literal 918938533204673/1000000000000000 binary64))))))
(+.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(literal 918938533204673/1000000000000000 binary64)) (neg.f64 x))
(+.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x)) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) y) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+.f64 (neg.f64 x) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1/4 binary64))) (neg.f64 (-.f64 x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 x x #s(literal -1/4 binary64)) (-.f64 x #s(literal -1/2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 x x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 x #s(literal -1/2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 x x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/2 binary64))))))
(-.f64 x #s(literal 1/2 binary64))
(+.f64 x #s(literal -1/2 binary64))
x
#s(literal 1/2 binary64)
y
(/.f64 (-.f64 (*.f64 x x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (-.f64 (neg.f64 x) #s(literal 918938533204673/1000000000000000 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (fma.f64 x x (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (neg.f64 x) #s(literal 918938533204673/1000000000000000 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))))
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(/.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))))
(fma.f64 #s(literal -1 binary64) x #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(-.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))))
(-.f64 (neg.f64 x) #s(literal -918938533204673/1000000000000000 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x (+.f64 x #s(literal 918938533204673/1000000000000000 binary64))))))
(+.f64 (neg.f64 x) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x))
#s(literal 918938533204673/1000000000000000 binary64)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
#s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
(*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)
(*.f64 y #s(approx (- x 1/2) #s(literal -1/2 binary64)))
#s(approx (- x 1/2) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- y 1) y) x))
(*.f64 #s(approx (- y 1) y) x)
(*.f64 x #s(approx (- y 1) y))
#s(approx (- y 1) y)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))))
#s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))))
#s(approx (- x 1/2) #s(literal -1/2 binary64))
#s(approx (- x 1/2) (-.f64 x #s(literal 1/2 binary64)))
#s(approx x x)
#s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (- 918938533204673/1000000000000000 x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (neg x) (neg.f64 x))
#s(approx (* (- x 1/2) y) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (* (- x 1/2) y) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
#s(approx (* (- y 1) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x) y) #s(literal 1 binary64)) x))
#s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
#s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (*.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x) y) #s(literal 1 binary64)) x))
#s(approx (- x 1/2) x)
#s(approx (- x 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))
#s(approx (- 918938533204673/1000000000000000 x) (*.f64 (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64)) x))
#s(approx (* (- x 1/2) y) (*.f64 y x))
#s(approx (* (- x 1/2) y) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) y) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (neg.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64)) x) y) x x)))
#s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 x)))
#s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (neg.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64)) x) y) x x)))
#s(approx (- x 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (- 918938533204673/1000000000000000 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (neg.f64 x)))
#s(approx (* (- x 1/2) y) (*.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) (neg.f64 y)) (neg.f64 x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
#s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
#s(approx y y)
#s(approx (* (- x 1/2) y) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
#s(approx (* (- y 1) x) (neg.f64 x))
#s(approx (* (- y 1) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
#s(approx (- y 1) #s(literal -1 binary64))
#s(approx (- y 1) (-.f64 y #s(literal 1 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) x) #s(literal 1/2 binary64)) y))
#s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
#s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (*.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) x) #s(literal 1/2 binary64)) y))
#s(approx (* (- y 1) x) (*.f64 y x))
#s(approx (* (- y 1) x) (*.f64 (-.f64 x (/.f64 x y)) y))
#s(approx (- y 1) y)
#s(approx (- y 1) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 #s(literal 1/2 binary64) x) (neg.f64 y)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) (neg.f64 y)))
#s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (*.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) (neg.f64 y)))
#s(approx (* (- y 1) x) (*.f64 (-.f64 (/.f64 x y) x) (neg.f64 y)))
#s(approx (- y 1) (*.f64 (-.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 y)))

eval17.0ms (0.5%)

Memory: -5.3MiB live, 39.8MiB allocated; 5ms collecting garbage
Compiler: Compiled 3 717 to 466 computations (87.5% saved)

prune7.0ms (0.2%)

Memory

22.5MiB live, 22.5MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	2	2
Picked	0	5	5
Done	0	5	5
Total	141	12	153

Accuracy

100.0%

Counts

153 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
▶	76.5%	(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64))
✓	100.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
▶	58.1%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y #s(literal -1/2 binary64) (*.f64 x y)))
✓	47.8%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
✓	43.3%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
✓	53.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
✓	58.1%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
✓	29.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- y 1) y) x))
✓	29.3%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
✓	24.6%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
✓	21.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))

Compiler

Compiled 202 to 163 computations (19.3% saved)

series10.0ms (0.3%)

Memory

-25.9MiB live, 20.3MiB allocated; 3ms collecting garbage

Counts

12 → 43

Calls

Call 1

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y #s(literal -1/2 binary64) (*.f64 x y)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x y))
y
#s(literal -1/2 binary64)
(*.f64 x y)
x
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
(-.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 918938533204673/1000000000000000 binary64)

Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (- 918938533204673/1000000000000000 (* 1/2 y))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))))
#s(approx (+ (* y -1/2) (* x y)) #s(hole binary64 (* -1/2 y)))
#s(approx (+ (* y -1/2) (* x y)) #s(hole binary64 (+ (* -1/2 y) (* x y))))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx x #s(hole binary64 x))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* -1/2 y)))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (- (* x (- y 1)) (* 1/2 y))))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* -1/2 y)))
#s(approx (* (- x 1/2) y) #s(hole binary64 (+ (* -1/2 y) (* x y))))
#s(approx (- x 1/2) #s(hole binary64 -1/2))
#s(approx (- x 1/2) #s(hole binary64 (- x 1/2)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* x (- y 1))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))))
#s(approx (+ (* y -1/2) (* x y)) #s(hole binary64 (* x y)))
#s(approx (+ (* y -1/2) (* x y)) #s(hole binary64 (* x (+ y (* -1/2 (/ y x))))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* x (- y 1))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* x (- (+ y (* -1/2 (/ y x))) 1))))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* x y)))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* x (+ y (* -1/2 (/ y x))))))
#s(approx (- x 1/2) #s(hole binary64 x))
#s(approx (- x 1/2) #s(hole binary64 (* x (- 1 (* 1/2 (/ 1 x))))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))))
#s(approx (+ (* y -1/2) (* x y)) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))))
#s(approx (- x 1/2) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (+ 918938533204673/1000000000000000 (* -1 x))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))))
#s(approx (+ (* y -1/2) (* x y)) #s(hole binary64 (* y (- x 1/2))))
#s(approx y #s(hole binary64 y))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* -1 x)))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (+ (* -1 x) (* y (- x 1/2)))))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* y (- x 1/2))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* y (- x 1/2))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* y (- x 1/2))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* y (- (+ x (* -1 (/ x y))) 1/2))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 x))))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))))
#s(approx (+ (* y -1/2) (* x y)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 x))))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 x))))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* y -1/2) (* x y)) y -1/2 (* x y) x (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- (* x (- y 1)) (* y 1/2)) (* (- x 1/2) y) (- x 1/2) 1/2 918938533204673/1000000000000000)
2.0ms	x	@	0	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* y -1/2) (* x y)) y -1/2 (* x y) x (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- (* x (- y 1)) (* y 1/2)) (* (- x 1/2) y) (- x 1/2) 1/2 918938533204673/1000000000000000)
2.0ms	y	@	-inf	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* y -1/2) (* x y)) y -1/2 (* x y) x (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- (* x (- y 1)) (* y 1/2)) (* (- x 1/2) y) (- x 1/2) 1/2 918938533204673/1000000000000000)
1.0ms	x	@	-inf	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* y -1/2) (* x y)) y -1/2 (* x y) x (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- (* x (- y 1)) (* y 1/2)) (* (- x 1/2) y) (- x 1/2) 1/2 918938533204673/1000000000000000)
1.0ms	y	@	0	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* y -1/2) (* x y)) y -1/2 (* x y) x (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- (* x (- y 1)) (* y 1/2)) (* (- x 1/2) y) (- x 1/2) 1/2 918938533204673/1000000000000000)

rewrite256.0ms (7%)

Memory

13.0MiB live, 267.6MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	762
0	140	711
1	717	694
2	6358	694
0	8765	646

Stop Event

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

Counts

55 → 132

Calls

Call 1

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y #s(literal -1/2 binary64) (*.f64 x y)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x y))
y
#s(literal -1/2 binary64)
(*.f64 x y)
x
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
(-.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 918938533204673/1000000000000000 binary64)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (- 918938533204673/1000000000000000 (* 1/2 y))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))))
#s(approx (+ (* y -1/2) (* x y)) #s(hole binary64 (* -1/2 y)))
#s(approx (+ (* y -1/2) (* x y)) #s(hole binary64 (+ (* -1/2 y) (* x y))))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx x #s(hole binary64 x))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* -1/2 y)))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (- (* x (- y 1)) (* 1/2 y))))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* -1/2 y)))
#s(approx (* (- x 1/2) y) #s(hole binary64 (+ (* -1/2 y) (* x y))))
#s(approx (- x 1/2) #s(hole binary64 -1/2))
#s(approx (- x 1/2) #s(hole binary64 (- x 1/2)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* x (- y 1))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))))
#s(approx (+ (* y -1/2) (* x y)) #s(hole binary64 (* x y)))
#s(approx (+ (* y -1/2) (* x y)) #s(hole binary64 (* x (+ y (* -1/2 (/ y x))))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* x (- y 1))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* x (- (+ y (* -1/2 (/ y x))) 1))))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* x y)))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* x (+ y (* -1/2 (/ y x))))))
#s(approx (- x 1/2) #s(hole binary64 x))
#s(approx (- x 1/2) #s(hole binary64 (* x (- 1 (* 1/2 (/ 1 x))))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))))
#s(approx (+ (* y -1/2) (* x y)) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))))
#s(approx (- x 1/2) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (+ 918938533204673/1000000000000000 (* -1 x))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))))
#s(approx (+ (* y -1/2) (* x y)) #s(hole binary64 (* y (- x 1/2))))
#s(approx y #s(hole binary64 y))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* -1 x)))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (+ (* -1 x) (* y (- x 1/2)))))
#s(approx (* (- x 1/2) y) #s(hole binary64 (* y (- x 1/2))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* y (- x 1/2))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* y (- x 1/2))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* y (- (+ x (* -1 (/ x y))) 1/2))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 x))))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))))
#s(approx (+ (* y -1/2) (* x y)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 x))))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* -1 (* y (+ 1/2 (* -1 x))))))
#s(approx (- (* x (- y 1)) (* y 1/2)) #s(hole binary64 (* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))))

Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
(*.f64 y (-.f64 #s(literal -1/2 binary64) (neg.f64 x)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1/4 binary64)) y) (-.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) y) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64))))
(/.f64 (*.f64 y (fma.f64 x x #s(literal -1/4 binary64))) (-.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 y y) #s(literal 1/4 binary64))) (-.f64 (.f64 y 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 (neg.f64 x) y) #s(literal 3 binary64))) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) y) (*.f64 (neg.f64 x) y)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (neg.f64 (.f64 y (-.f64 #s(literal -1/2 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 #s(literal -1/2 binary64) y))))))
(/.f64 (-.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 y (-.f64 #s(literal -1/2 binary64) x)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) y) x) y))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 #s(literal -1/2 binary64) y)))))
(fma.f64 (neg.f64 y) #s(literal 1/2 binary64) (*.f64 y x))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) y) (.f64 y x))
(fma.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64) (.f64 y x))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 y x))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (*.f64 y x))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 y x))
(fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 x y (*.f64 #s(literal -1/2 binary64) y))
(-.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 y (-.f64 #s(literal -1/2 binary64) x))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal -1/2 binary64) x))))
(-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 (neg.f64 x) y))
(-.f64 (.f64 y x) (.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(-.f64 (.f64 y x) (.f64 #s(literal 1/2 binary64) y))
(+.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 y x) (-.f64 (.f64 y x) (.f64 #s(literal -1/2 binary64) y))))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 #s(literal -1/2 binary64) y))))))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 y x))
(+.f64 (.f64 y x) (.f64 #s(literal -1/2 binary64) y))
y
#s(literal -1/2 binary64)
(*.f64 y x)
(*.f64 x y)
x
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) #s(approx (- ( x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (neg.f64 (-.f64 #s(approx (- ( x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) #s(approx (- ( x (- y 1)) (* y 1/2)) (.f64 (-.f64 x #s(literal 1/2 binary64)) y))) (pow.f64 #s(approx (- ( x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (-.f64 #s(approx (- ( x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64)))
(/.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 3 binary64))) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (-.f64 (pow.f64 #s(approx (- ( x (- y 1)) (* y 1/2)) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)) (.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64)))))
(/.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 3 binary64))) (fma.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) #s(approx (- ( x (- y 1)) (* y 1/2)) (.f64 (-.f64 x #s(literal 1/2 binary64)) y))) (pow.f64 #s(approx (- ( x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)) (-.f64 #s(approx (- ( x (- y 1)) (* y 1/2)) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (-.f64 #s(approx (- ( x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64))))
(-.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal -918938533204673/1000000000000000 binary64))
(+.f64 (/.f64 (pow.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 3 binary64)) (fma.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) #s(approx (- ( x (- y 1)) (* y 1/2)) (.f64 (-.f64 x #s(literal 1/2 binary64)) y))) (pow.f64 #s(approx (- ( x (- y 1)) (* y 1/2)) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)))) (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) #s(approx (- ( x (- y 1)) (* y 1/2)) (.f64 (-.f64 x #s(literal 1/2 binary64)) y))) (pow.f64 #s(approx (- ( x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)))))
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)))
#s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
(*.f64 y (-.f64 #s(literal -1/2 binary64) (neg.f64 x)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1/4 binary64)) y) (-.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) y) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64))))
(/.f64 (*.f64 y (fma.f64 x x #s(literal -1/4 binary64))) (-.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 y y) #s(literal 1/4 binary64))) (-.f64 (.f64 y 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 (neg.f64 x) y) #s(literal 3 binary64))) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) y) (*.f64 (neg.f64 x) y)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (neg.f64 (.f64 y (-.f64 #s(literal -1/2 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 #s(literal -1/2 binary64) y))))))
(/.f64 (-.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (.f64 y (-.f64 #s(literal -1/2 binary64) x)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) y) x) y))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 #s(literal -1/2 binary64) y)))))
(fma.f64 (neg.f64 y) #s(literal 1/2 binary64) (*.f64 y x))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) y) (.f64 y x))
(fma.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64) (.f64 y x))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 y x))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 y) (*.f64 y x))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 y x))
(fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 x y (*.f64 #s(literal -1/2 binary64) y))
(-.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 y (-.f64 #s(literal -1/2 binary64) x))) (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (*.f64 y (-.f64 #s(literal -1/2 binary64) x))))
(-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 (neg.f64 x) y))
(-.f64 (.f64 y x) (.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(-.f64 (.f64 y x) (.f64 #s(literal 1/2 binary64) y))
(+.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 y x) (-.f64 (.f64 y x) (.f64 #s(literal -1/2 binary64) y))))) (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 (.f64 y x) (-.f64 (.f64 y x) (.f64 #s(literal -1/2 binary64) y))))))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 y x))
(+.f64 (.f64 y x) (.f64 #s(literal -1/2 binary64) y))
(/.f64 (+.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1/4 binary64))) (neg.f64 (-.f64 x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1/4 binary64)) (-.f64 x #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2 binary64) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 x #s(literal -1/2 binary64))))
(-.f64 x #s(literal 1/2 binary64))
(+.f64 #s(literal -1/2 binary64) x)
(+.f64 x #s(literal -1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 918938533204673/1000000000000000 binary64)
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))))
#s(approx (* (- x 1/2) y) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (* (- x 1/2) y) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
#s(approx (* x y) (*.f64 y x))
#s(approx x x)
#s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (- (* x (- y 1)) (* y 1/2)) (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)))
#s(approx (* (- x 1/2) y) (*.f64 #s(literal -1/2 binary64) y))
#s(approx (* (- x 1/2) y) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
#s(approx (- x 1/2) #s(literal -1/2 binary64))
#s(approx (- x 1/2) (-.f64 x #s(literal 1/2 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (+.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x) #s(literal 1 binary64)) y) x))
#s(approx (* (- x 1/2) y) (*.f64 y x))
#s(approx (* (- x 1/2) y) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) y) x))
#s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
#s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) (-.f64 y #s(literal 1 binary64))) x))
#s(approx (* (- x 1/2) y) (*.f64 y x))
#s(approx (* (- x 1/2) y) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) y) x))
#s(approx (- x 1/2) x)
#s(approx (- x 1/2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (-.f64 y #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x))))
#s(approx (* (- x 1/2) y) (*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) (neg.f64 y))))
#s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) (neg.f64 (-.f64 y #s(literal 1 binary64))))))
#s(approx (* (- x 1/2) y) (*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) (neg.f64 y))))
#s(approx (- x 1/2) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
#s(approx (* (- x 1/2) y) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
#s(approx y y)
#s(approx (- (* x (- y 1)) (* y 1/2)) (neg.f64 x))
#s(approx (- (* x (- y 1)) (* y 1/2)) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 x)))
#s(approx (* (- x 1/2) y) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) x) #s(literal 1/2 binary64)) y))
#s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
#s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 (-.f64 x (/.f64 x y)) #s(literal 1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 #s(literal 1/2 binary64) x) (neg.f64 y)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 (-.f64 (/.f64 (+.f64 #s(literal -918938533204673/1000000000000000 binary64) x) y) x) #s(literal -1/2 binary64)) (neg.f64 y)))
#s(approx (* (- x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) x) (neg.f64 y)))
#s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 #s(literal 1/2 binary64) x) (neg.f64 y)))
#s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 (-.f64 (/.f64 x y) x) #s(literal -1/2 binary64)) (neg.f64 y)))

eval13.0ms (0.4%)

Memory: -15.9MiB live, 29.0MiB allocated; 5ms collecting garbage
Compiler: Compiled 2 474 to 352 computations (85.8% saved)

prune7.0ms (0.2%)

Memory

19.3MiB live, 19.3MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (0 fresh and 12 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	0	0
Picked	0	2	2
Done	0	10	10
Total	100	12	112

Accuracy

100.0%

Counts

112 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
✓	76.5%	(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64))
✓	100.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
✓	58.1%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y #s(literal -1/2 binary64) (*.f64 x y)))
✓	47.8%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
✓	43.3%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
✓	53.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
✓	58.1%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
✓	29.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- y 1) y) x))
✓	29.3%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
✓	24.6%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
✓	21.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))

Compiler

Compiled 415 to 212 computations (48.9% saved)

regimes20.0ms (0.5%)

Memory

19.9MiB live, 58.1MiB allocated; 4ms collecting garbage

Counts

13 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- y 1) y) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y #s(literal -1/2 binary64) (*.f64 x y)))
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Outputs
(fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))

Calls

4 calls:

6.0ms	y
4.0ms	x
4.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
4.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Results

Accuracy	Segments	Branch
100.0%	1	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
100.0%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes65.0ms (1.8%)

Memory

-7.4MiB live, 35.3MiB allocated; 4ms collecting garbage

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- y 1) y) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y #s(literal -1/2 binary64) (*.f64 x y)))
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))

Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))

Calls

4 calls:

53.0ms	y
4.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
4.0ms	x
3.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Results

Accuracy	Segments	Branch
100.0%	1	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
100.0%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes51.0ms (1.4%)

Memory

-8.2MiB live, 37.0MiB allocated; 24ms collecting garbage

Counts

10 → 3

Calls

Call 1

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- y 1) y) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y #s(literal -1/2 binary64) (*.f64 x y)))
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64))

Outputs

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))

(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64))

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))

Calls

4 calls:

40.0ms	x
3.0ms	y
3.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
3.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Results

Accuracy	Segments	Branch
80.3%	2	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
80.3%	2	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
99.5%	3	`x`
98.6%	3	`y`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes7.0ms (0.2%)

Memory

20.0MiB live, 20.0MiB allocated; 0ms collecting garbage

Counts

9 → 3

Calls

Call 1

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- y 1) y) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y #s(literal -1/2 binary64) (*.f64 x y)))

Outputs

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y #s(literal -1/2 binary64) (*.f64 x y)))

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
98.3%	3	`y`
97.5%	3	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes16.0ms (0.4%)

Memory

-27.2MiB live, 14.1MiB allocated; 15ms collecting garbage

Counts

8 → 3

Calls

Call 1

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- y 1) y) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))

Outputs

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
98.3%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes10.0ms (0.3%)

Memory

41.2MiB live, 41.2MiB allocated; 0ms collecting garbage

Counts

6 → 4

Calls

Call 1

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- y 1) y) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))

Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- y 1) y) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- y 1) y) x))

Calls

4 calls:

2.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
2.0ms	y
2.0ms	x
2.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Results

Accuracy	Segments	Branch
64.9%	4	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
64.9%	4	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
77.0%	4	`x`
73.4%	4	`y`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes13.0ms (0.3%)

Memory

-22.8MiB live, 20.9MiB allocated; 10ms collecting garbage

Counts

5 → 4

Calls

Call 1

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- y 1) y) x))

Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- y 1) y) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))

Calls

2 calls:

10.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
73.2%	4	`y`
65.2%	8	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes2.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated; 0ms collecting garbage

Counts

4 → 3

Calls

Call 1

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))

Outputs

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
69.7%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes13.0ms (0.4%)

Memory

-12.5MiB live, 32.2MiB allocated; 7ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))

Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))

Calls

4 calls:

8.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
2.0ms	y
2.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
2.0ms	x

Results

Accuracy	Segments	Branch
43.3%	1	`x`
43.3%	1	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
43.3%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
43.3%	1	`y`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes6.0ms (0.2%)

Memory

21.7MiB live, 21.7MiB allocated; 0ms collecting garbage

Counts

2 → 3

Calls

Call 1

Inputs

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))

Outputs

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))

#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))

Calls

4 calls:

1.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
1.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
42.9%	3	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
42.9%	3	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
43.0%	3	`x`
24.6%	1	`y`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes38.0ms (1%)

Memory

-43.8MiB live, 15.4MiB allocated; 35ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))

Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))

Calls

4 calls:

34.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
1.0ms	y
1.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
1.0ms	x

Results

Accuracy	Segments	Branch
21.0%	1	`y`
21.0%	1	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
21.0%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
21.0%	1	`x`

Compiler

Compiled 22 to 22 computations (0% saved)

bsearch37.0ms (1%)

Memory

9.0MiB live, 58.0MiB allocated; 8ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	508346810.9135839	7382267215.308357
17.0ms	-7.818955399757868e+22	-2148874302.4052744

Samples

23.0ms

256×

valid

Compiler

Compiled 558 to 495 computations (11.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

const: 4.0ms (34% of total)

ival-sub: 3.0ms (25.5% of total)

ival-mult: 3.0ms (25.5% of total)

ival-add: 1.0ms (8.5% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch79.0ms (2.1%)

Memory

-1.2MiB live, 44.5MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
57.0ms	0.00021173518546935827	3528.44573016157
17.0ms	-15192220.910325304	-3.2571170336293135e-9

Samples

21.0ms

304×

valid

Compiler

Compiled 632 to 566 computations (10.4% saved)

Precisions

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

const: 5.0ms (36.9% of total)

ival-mult: 4.0ms (29.5% of total)

ival-sub: 3.0ms (22.2% of total)

ival-add: 1.0ms (7.4% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch3.0ms (0.1%)

Memory

2.5MiB live, 2.5MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.00021173518546935827	3528.44573016157
1.0ms	-15192220.910325304	-3.2571170336293135e-9

Compiler

Compiled 622 to 566 computations (9% saved)

bsearch67.0ms (1.8%)

Memory

30.1MiB live, 76.4MiB allocated; 3ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
16.0ms	0.00012070733270577781	31427.8396417899
31.0ms	-32.13547460106622	-0.0005205982701529032
15.0ms	-3.67809513942363e+141	-2.4381319514978303e+136

Samples

45.0ms

416×

valid

Compiler

Compiled 942 to 769 computations (18.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

const: 7.0ms (37.3% of total)

ival-mult: 5.0ms (26.6% of total)

ival-sub: 4.0ms (21.3% of total)

ival-add: 2.0ms (10.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch65.0ms (1.8%)

Memory

-4.4MiB live, 42.0MiB allocated; 48ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	6.746711291848898e+34	8.908382162060518e+42
1.0ms	0.00021173518546935827	3528.44573016157
45.0ms	-15192220.910325304	-3.2571170336293135e-9

Samples

51.0ms

240×

valid

Compiler

Compiled 1 002 to 837 computations (16.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

const: 4.0ms (36.6% of total)

ival-mult: 3.0ms (27.4% of total)

ival-sub: 2.0ms (18.3% of total)

ival-add: 1.0ms (9.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch12.0ms (0.3%)

Memory

-32.3MiB live, 15.5MiB allocated; 10ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	0.00021173518546935827	3528.44573016157
1.0ms	-15192220.910325304	-3.2571170336293135e-9

Samples

2.0ms

32×

valid

Compiler

Compiled 660 to 585 computations (11.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

const: 1.0ms (69.7% of total)

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

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

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

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

bsearch13.0ms (0.4%)

Memory

27.0MiB live, 27.0MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	508346810.9135839	7382267215.308357
11.0ms	-7.818955399757868e+22	-2148874302.4052744

Samples

7.0ms

96×

valid

Compiler

Compiled 574 to 495 computations (13.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

const: 2.0ms (46% of total)

ival-sub: 1.0ms (23% of total)

ival-mult: 1.0ms (23% of total)

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify63.0ms (1.7%)

Memory

-12.1MiB live, 33.9MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	440
1	114	440
2	137	440
3	182	440
4	256	440
5	538	440
6	3134	440
7	7491	440

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(if (<=.f64 x #s(literal -15600000000 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 (-.f64 y #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 540000000 binary64)) (+.f64 #s(approx (- ( x (- y 1)) (* y 1/2)) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))))
(if (<=.f64 y #s(literal -5854679515581645/4503599627370496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y #s(literal -1/2 binary64) (.f64 x y))) (if (<=.f64 y #s(literal 3602879701896397/2251799813685248 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))))
(if (<=.f64 y #s(literal -5854679515581645/4503599627370496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) (if (<=.f64 y #s(literal 3602879701896397/2251799813685248 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))))
(if (<=.f64 x #s(literal -620000000000000007140649367502082189933641630487538454649540664994798758584272651749164990962964079360264484171974213106937823692743958855680 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) (if (<=.f64 x #s(literal -2 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 #s(approx (- y 1) y) x)) (if (<=.f64 x #s(literal 1/2 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- y 1) y) x)))))
(if (<=.f64 y #s(literal -20 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) (if (<=.f64 y #s(literal 3602879701896397/2251799813685248 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 y #s(literal 62000000000000003515523232727172120576 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 #s(approx (- y 1) y) x)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)))))
(if (<=.f64 y #s(literal -20 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(if (<=.f64 x #s(literal -2200000000 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) (if (<=.f64 x #s(literal 520000000 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))

Outputs
(fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(if (<=.f64 x #s(literal -15600000000 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 (-.f64 y #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 540000000 binary64)) (+.f64 #s(approx (- ( x (- y 1)) (* y 1/2)) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))))
(if (or (<=.f64 x #s(literal -15600000000 binary64)) (not (<=.f64 x #s(literal 540000000 binary64)))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 (-.f64 y #s(literal 1 binary64)) x)) (+.f64 #s(approx (- ( x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64)))
(if (<=.f64 y #s(literal -5854679515581645/4503599627370496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y #s(literal -1/2 binary64) (.f64 x y))) (if (<=.f64 y #s(literal 3602879701896397/2251799813685248 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))))
(if (<=.f64 y #s(literal -5854679515581645/4503599627370496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) (if (<=.f64 y #s(literal 3602879701896397/2251799813685248 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))))
(if (or (<=.f64 y #s(literal -5854679515581645/4503599627370496 binary64)) (not (<=.f64 y #s(literal 3602879701896397/2251799813685248 binary64)))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
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#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))

derivations393.0ms (10.8%)

Memory

-12.8MiB live, 275.4MiB allocated; 33ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 440 to 89 computations (79.8% saved)

preprocess53.0ms (1.5%)

Memory: 45.7MiB live, 91.1MiB allocated; 6ms collecting garbage
Compiler: Compiled 902 to 198 computations (78% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (30.4%)

explain156.0ms (4.3%)

preprocess262.0ms (7.2%)

eval0.0ms (0%)

prune0.0ms (0%)

series8.0ms (0.2%)

rewrite212.0ms (5.8%)

eval16.0ms (0.4%)

prune6.0ms (0.2%)

series8.0ms (0.2%)

rewrite274.0ms (7.5%)

eval31.0ms (0.8%)

prune16.0ms (0.4%)

series12.0ms (0.3%)

rewrite208.0ms (5.7%)

eval17.0ms (0.5%)

prune7.0ms (0.2%)

series10.0ms (0.3%)

rewrite256.0ms (7%)

eval13.0ms (0.4%)

prune7.0ms (0.2%)

regimes20.0ms (0.5%)

regimes65.0ms (1.8%)

regimes51.0ms (1.4%)

regimes7.0ms (0.2%)

regimes16.0ms (0.4%)

regimes10.0ms (0.3%)

regimes13.0ms (0.3%)

regimes2.0ms (0.1%)

regimes13.0ms (0.4%)

regimes6.0ms (0.2%)

regimes38.0ms (1%)

bsearch37.0ms (1%)

bsearch79.0ms (2.1%)

bsearch3.0ms (0.1%)

bsearch67.0ms (1.8%)

bsearch65.0ms (1.8%)

bsearch12.0ms (0.3%)

bsearch13.0ms (0.4%)

simplify63.0ms (1.7%)

derivations393.0ms (10.8%)

preprocess53.0ms (1.5%)

end0.0ms (0%)

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