Metrics for Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, A

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample708.0ms (26.3%)

Memory

12.8MiB live, 1 010.0MiB allocated; 182ms collecting garbage

Samples

428.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-mult!: 71.0ms (48.8% of total)

ival-sub!: 58.0ms (39.9% of total)

ival-add!: 15.0ms (10.3% of total)

adjust: 1.0ms (0.7% of total)

Bogosity

explain89.0ms (3.3%)

Memory

26.0MiB live, 221.8MiB allocated; 9ms 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

23.0ms

512×

valid

Compiler

Compiled 87 to 34 computations (60.9% saved)

Precisions

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

ival-mult!: 5.0ms (59% of total)

ival-sub!: 3.0ms (35.4% of total)

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

adjust: 0.0ms (0% of total)

preprocess108.0ms (4%)

Memory

-43.4MiB live, 60.7MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 6 (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

Stop Event

1×	node-limit

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 22 to 20 computations (9.1% saved)

series7.0ms (0.3%)

Memory

19.6MiB live, 19.6MiB 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)

rewrite262.0ms (9.7%)

Memory

3.7MiB live, 363.1MiB allocated; 104ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	622
0	127	588
1	648	572
2	5934	572
0	8178	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 (.f64 (.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 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) (.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)))) (-.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))) (fma.f64 (.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 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) (.f64 (.f64 y y) y))) (fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 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 (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 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 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #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 (.f64 (.f64 y y) y) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (.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)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (-.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 (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 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 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #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 (.f64 (.f64 y y) y) #s(literal 1/8 binary64))) (fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (.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))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x))) (.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 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (-.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)))))
(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 (.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (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)))) (/.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 (.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x))) (-.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 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (.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)))))) (/.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64)) (fma.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)) (.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)))))))
(-.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 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (-.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 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (-.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 #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) (.f64 (.f64 y y) y))) (fma.f64 (.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 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 (.f64 (.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 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 (.f64 (.f64 y y) y) #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)) (.f64 (.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 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 (.f64 (.f64 y y) y) #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)) (.f64 (.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 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 (.f64 (.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 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)) (.f64 (.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 binary64))))) (/.f64 (.f64 (.f64 (.f64 y y) y) #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)) (.f64 (.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) x) (-.f64 y #s(literal 1 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 (fma.f64 (.f64 y y) y #s(literal -1 binary64))) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 x x)) (-.f64 (*.f64 y x) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 x x) (neg.f64 x)) (.f64 (.f64 (.f64 y y) y) (.f64 (.f64 x x) (neg.f64 x)))) (fma.f64 x x (fma.f64 (.f64 (.f64 y x) y) x (.f64 (neg.f64 x) (*.f64 (neg.f64 y) x)))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) (.f64 x (-.f64 #s(literal -1 binary64) y)))) (neg.f64 (.f64 x (-.f64 #s(literal -1 binary64) y))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y) (.f64 (.f64 x x) (neg.f64 x)))) (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 (fma.f64 (.f64 y y) y #s(literal -1 binary64)) x) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) (.f64 x (-.f64 #s(literal -1 binary64) y))) (.f64 x (-.f64 #s(literal -1 binary64) y)))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y) (.f64 (.f64 x x) (neg.f64 x))) (fma.f64 (.f64 (.f64 y x) y) x (-.f64 (.f64 x x) (.f64 (*.f64 (neg.f64 x) x) y))))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y) (.f64 (.f64 x x) (neg.f64 x))) (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 (.f64 (.f64 (.f64 y x) y) x) (.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 (.f64 (.f64 x x) (neg.f64 x)) (fma.f64 (.f64 y x) (-.f64 (.f64 y x) (neg.f64 x)) (.f64 x x))) (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) (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 (fma.f64 (*.f64 y y) y #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 (fma.f64 (*.f64 y y) y #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))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))))
(-.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #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)) (-.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) y) 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) (/.f64 #s(literal 1 binary64) y)) 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 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))

eval12.0ms (0.4%)

Memory: 41.2MiB live, 41.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 613 to 456 computations (82.5% saved)

prune61.0ms (2.3%)

Memory

-30.1MiB live, 14.8MiB allocated; 11ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	115	6	121
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	6	122

Accuracy

100.0%

Counts

122 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.7%	(+.f64 (-.f64 (.f64 x #s(approx (- y 1) y)) (.f64 y #s(literal 1/2 binary64))) #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)))
▶	49.3%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
▶	53.6%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
▶	52.1%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
▶	47.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))

Compiler

Compiled 196 to 164 computations (16.3% saved)

series8.0ms (0.3%)

Memory

20.5MiB live, 20.5MiB allocated; 0ms collecting garbage

Counts

18 → 56

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

rewrite247.0ms (9.1%)

Memory

2.9MiB live, 267.1MiB allocated; 103ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	191	936
0	201	865
1	1058	827
0	8738	806

Stop Event

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

Counts

74 → 210

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) (-.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)))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
#s(literal -1/2 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)
#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 y #s(literal 1 binary64))
#s(literal 1 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 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 (* (- 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 (+ (* -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 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 (+ (* -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 (* (- 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 (+ (* -1/2 y) 918938533204673/1000000000000000) #s(hole binary64 (* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 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 (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (.f64 (.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) y) (-.f64 x #s(literal 1/2 binary64)))) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 (-.f64 (.f64 (-.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) x) (-.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) x)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (-.f64 (-.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) x) #s(literal 918938533204673/1000000000000000 binary64)))
(/.f64 (fma.f64 (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (pow.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 (.f64 (.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) y) (-.f64 x #s(literal 1/2 binary64))) (.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)))))
(/.f64 (+.f64 (pow.f64 (-.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) x) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (fma.f64 (-.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) x) (-.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) x) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) y) x) #s(literal 918938533204673/1000000000000000 binary64)))))
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(-.f64 (/.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (fma.f64 #s(literal -1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64))))
(-.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (.f64 #s(literal 918938533204673/2000000000000000 binary64) y)))) (/.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1/8 binary64)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (*.f64 #s(literal 918938533204673/2000000000000000 binary64) y)))))
(-.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal -918938533204673/1000000000000000 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y))
(+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y)) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 y #s(literal -918938533204673/2000000000000000 binary64))))) (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y #s(literal -918938533204673/2000000000000000 binary64))))))
(+.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64))))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64))))))
(+.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(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 #s(literal -1/2 binary64) x))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 (.f64 y y) #s(literal 1/4 binary64))) (-.f64 (.f64 y x) (*.f64 #s(literal -1/2 binary64) y)))
(/.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y)) (pow.f64 (.f64 (neg.f64 y) x) #s(literal 3 binary64))) (fma.f64 (.f64 y y) #s(literal 1/4 binary64) (fma.f64 (.f64 (.f64 y x) y) x (.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 (neg.f64 y) x)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y))) (fma.f64 (.f64 (.f64 y x) y) x (-.f64 (.f64 (.f64 y y) #s(literal 1/4 binary64)) (.f64 (.f64 y x) (.f64 #s(literal -1/2 binary64) y)))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) (.f64 y (-.f64 #s(literal -1/2 binary64) x)))) (neg.f64 (.f64 y (-.f64 #s(literal -1/2 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)))) (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 x #s(literal 1/2 binary64)) y) (.f64 y (-.f64 #s(literal -1/2 binary64) x))) (.f64 y (-.f64 #s(literal -1/2 binary64) x)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (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 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 (.f64 (.f64 (.f64 y x) y) x) (*.f64 y (-.f64 #s(literal -1/2 binary64) x))))
(-.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 #s(literal -1/2 binary64) y) (.f64 (neg.f64 y) x))
(+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 y y) y)) (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 x x) x) (.f64 (.f64 y y) y)) (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 y x) (.f64 #s(literal -1/2 binary64) y))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 y x))
#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 (.f64 (-.f64 y #s(literal 1 binary64)) x) (.f64 x (-.f64 #s(literal -1 binary64) y))) (.f64 x (-.f64 #s(literal -1 binary64) y)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y x) y) x) (.f64 x x)) (-.f64 (*.f64 y x) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 x x) (neg.f64 x)) (pow.f64 (.f64 (neg.f64 y) x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 (.f64 y x) y) x (.f64 (neg.f64 x) (*.f64 (neg.f64 y) x)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y) (.f64 (.f64 x x) (neg.f64 x))) (fma.f64 (.f64 (.f64 y x) y) x (-.f64 (.f64 x x) (.f64 (*.f64 y x) (neg.f64 x)))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) (.f64 x (-.f64 #s(literal -1 binary64) y)))) (neg.f64 (.f64 x (-.f64 #s(literal -1 binary64) y))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (neg.f64 x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)))) (neg.f64 (fma.f64 x x (.f64 (.f64 y x) (-.f64 (*.f64 y x) (neg.f64 x))))))
(/.f64 (fma.f64 (.f64 x x) (neg.f64 x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (fma.f64 x x (.f64 (.f64 y x) (-.f64 (*.f64 y x) (neg.f64 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 (.f64 (.f64 (.f64 y x) y) x) (.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 (.f64 (.f64 x x) (neg.f64 x)) (fma.f64 x x (.f64 (.f64 y x) (-.f64 (.f64 y x) (neg.f64 x))))) (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)) (fma.f64 x x (.f64 (.f64 y x) (-.f64 (*.f64 y x) (neg.f64 x))))))
(+.f64 (*.f64 y x) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 y x))
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (-.f64 y #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (neg.f64 (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))))
(-.f64 (/.f64 (.f64 (.f64 y y) y) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))
(-.f64 y #s(literal 1 binary64))
(+.f64 y #s(literal -1 binary64))
#s(literal 1 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) (- 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 (* (- 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 (-.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) 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 (+ (* -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 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 (+ (* -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 (* (- 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) (/.f64 #s(literal 1 binary64) 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 #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 (+ (* -1/2 y) 918938533204673/1000000000000000) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (neg.f64 y)))
#s(approx (* (- y 1) x) (*.f64 (-.f64 (/.f64 x y) x) (neg.f64 y)))
#s(approx (- y 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (neg.f64 y)))

eval23.0ms (0.8%)

Memory: 26.5MiB live, 26.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 6 226 to 785 computations (87.4% saved)

prune10.0ms (0.4%)

Memory

11.9MiB live, 11.9MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	218	6	224
Fresh	1	0	1
Picked	1	4	5
Done	0	0	0
Total	220	10	230

Accuracy

100.0%

Counts

230 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)))
✓	49.3%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
▶	52.1%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (*.f64 y x) x))
✓	53.6%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
✓	52.1%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
✓	47.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
▶	25.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- y 1) y) x))
▶	24.5%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
▶	28.3%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
▶	26.8%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))

Compiler

Compiled 281 to 221 computations (21.4% saved)

series105.0ms (3.9%)

Memory

-45.8MiB live, 8.9MiB allocated; 92ms collecting garbage

Counts

18 → 49

Calls

Call 1

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (*.f64 y x) x))
(-.f64 (*.f64 y x) x)
(*.f64 y x)
y
x
#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(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 (- (* y x) x) #s(hole binary64 (* x (- y 1))))
#s(approx (* y x) #s(hole binary64 (* x y)))
#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 (- 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 (+ (- (* 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 (+ (- (* 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 x) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 y))))))
#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 (+ (- (* 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 x) x) #s(hole binary64 (* -1 x)))
#s(approx (- (* y x) x) #s(hole binary64 (- (* x y) 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 (- (* y x) x) #s(hole binary64 (* x y)))
#s(approx (- (* y x) x) #s(hole binary64 (* y (+ x (* -1 (/ 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 (- (* y x) x) #s(hole binary64 (* -1 (* y (+ (* -1 x) (/ 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
99.0ms	x	@	0	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- (* y x) x) (* y x) y x (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) 918938533204673/1000000000000000 (+ (- (* 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) (- (* y x) x) (* y x) y x (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) 918938533204673/1000000000000000 (+ (- (* 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) (- (* y x) x) (* y x) y x (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) 918938533204673/1000000000000000 (+ (- (* 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) (- (* y x) x) (* y x) y x (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) 918938533204673/1000000000000000 (+ (- (* 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) (- (* y x) x) (* y x) y x (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) 918938533204673/1000000000000000 (+ (- (* 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))

rewrite201.0ms (7.4%)

Memory

7.3MiB live, 199.8MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	785
0	160	737
1	767	719
2	6547	719
0	8911	680

Stop Event

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

Counts

67 → 102

Calls

Call 1

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

eval7.0ms (0.3%)

Memory: 14.5MiB live, 14.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 809 to 285 computations (84.2% saved)

prune5.0ms (0.2%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	1	1
Picked	0	5	5
Done	0	4	4
Total	72	10	82

Accuracy

100.0%

Counts

82 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)))
✓	49.3%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
✓	52.1%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (*.f64 y x) x))
✓	53.6%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
✓	52.1%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
✓	47.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
✓	25.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- y 1) y) x))
✓	24.5%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
✓	28.3%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
✓	26.8%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))

Compiler

Compiled 173 to 138 computations (20.2% saved)

series4.0ms (0.2%)

Memory

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

Counts

6 → 21

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* y x) (* -1/2 y)) y x (* -1/2 y) -1/2)
1.0ms	y	@	inf	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* y x) (* -1/2 y)) y x (* -1/2 y) -1/2)
1.0ms	x	@	-inf	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* y x) (* -1/2 y)) y x (* -1/2 y) -1/2)
1.0ms	y	@	0	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* y x) (* -1/2 y)) y x (* -1/2 y) -1/2)
0.0ms	x	@	inf	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* y x) (* -1/2 y)) y x (* -1/2 y) -1/2)

rewrite186.0ms (6.9%)

Memory

0.6MiB live, 137.7MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	396
0	91	363
1	536	351
2	4946	351
0	8995	319

Stop Event

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

Counts

27 → 67

Calls

Call 1

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

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

eval26.0ms (1%)

Memory: -43.3MiB live, 9.4MiB allocated; 5ms collecting garbage
Compiler: Compiled 1 498 to 226 computations (84.9% saved)

prune5.0ms (0.2%)

Memory

6.2MiB live, 6.1MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	0	0
Picked	0	1	1
Done	0	9	9
Total	56	10	66

Accuracy

100.0%

Counts

66 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	47.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)))
✓	49.3%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
✓	52.1%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (*.f64 y x) x))
✓	53.6%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
✓	52.1%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
✓	47.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
✓	25.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- y 1) y) x))
✓	24.5%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
✓	28.3%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
✓	26.8%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))

Compiler

Compiled 390 to 190 computations (51.3% saved)

regimes17.0ms (0.6%)

Memory

17.9MiB live, 17.9MiB allocated; 0ms 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) (-.f64 (*.f64 y x) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)))
#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 (.f64 x #s(approx (- y 1) y)) (.f64 y #s(literal 1/2 binary64))) #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
#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:

4.0ms	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)

regimes14.0ms (0.5%)

Memory

15.8MiB live, 15.8MiB allocated; 0ms 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) (-.f64 (*.f64 y x) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)))

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

Calls

4 calls:

3.0ms	y
3.0ms	x
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
79.4%	4	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
79.4%	4	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
97.9%	3	`x`
98.1%	3	`y`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes4.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB 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) (-.f64 (*.f64 y x) 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:

3.0ms

Results

Accuracy	Segments	Branch
98.1%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes23.0ms (0.8%)

Memory

-39.8MiB live, 6.7MiB allocated; 3ms collecting garbage

Counts

6 → 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)))

Outputs

#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(literal 918938533204673/1000000000000000 binary64) x))

Calls

2 calls:

19.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
78.0%	3	`x`
80.0%	5	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes9.0ms (0.3%)

Memory

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

Counts

5 → 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))

Outputs

#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(literal 918938533204673/1000000000000000 binary64) x))

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

Calls

4 calls:

2.0ms	y
2.0ms	x
2.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
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
76.4%	3	`y`
67.9%	3	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
67.9%	3	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
62.7%	5	`x`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes2.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB 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
74.9%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.2%)

Memory

9.5MiB live, 9.5MiB allocated; 0ms 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:

2.0ms	y
2.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
1.0ms	x
1.0ms	(+.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
53.6%	1	`x`
53.6%	1	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
53.6%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
53.6%	1	`y`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes5.0ms (0.2%)

Memory

8.7MiB live, 8.7MiB 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 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
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	y
1.0ms	x

Results

Accuracy	Segments	Branch
52.1%	3	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
52.1%	3	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
52.2%	3	`x`
34.0%	3	`y`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes4.0ms (0.2%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms 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:

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	x
1.0ms	y

Results

Accuracy	Segments	Branch
26.8%	1	`y`
26.8%	1	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
26.8%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
26.8%	1	`x`

Compiler

Compiled 22 to 22 computations (0% saved)

bsearch35.0ms (1.3%)

Memory

-30.1MiB live, 16.8MiB allocated; 1ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.23148851948269603	12.846144759126155
25.0ms	-5420708092.508504	-0.0004461531619640552

Samples

23.0ms

272×

valid

Compiler

Compiled 565 to 508 computations (10.1% saved)

Precisions

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

ival-mult!: 2.0ms (48.6% of total)

ival-sub!: 1.0ms (24.3% of total)

adjust: 0.0ms (0% of total)

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

bsearch2.0ms (0.1%)

Memory

2.2MiB live, 2.2MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.23148851948269603	12.846144759126155
1.0ms	-5420708092.508504	-0.0004461531619640552

Compiler

Compiled 558 to 508 computations (9% saved)

bsearch19.0ms (0.7%)

Memory

29.3MiB live, 29.3MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	2.929244977726119e-10	1.6723431308830312e-8
9.0ms	-145878.90852799913	-3.6225259633841813

Samples

8.0ms

240×

valid

Compiler

Compiled 511 to 450 computations (11.9% saved)

Precisions

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

ival-mult!: 2.0ms (55% of total)

ival-sub!: 1.0ms (27.5% of total)

adjust: 0.0ms (0% of total)

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

bsearch18.0ms (0.7%)

Memory

-20.3MiB live, 26.3MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	0.23148851948269603	12.846144759126155
10.0ms	-16427941074181.23	-643324125483.1812

Samples

7.0ms

208×

valid

Compiler

Compiled 490 to 407 computations (16.9% saved)

Precisions

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

ival-mult!: 2.0ms (64.1% of total)

ival-sub!: 1.0ms (32.1% of total)

adjust: 0.0ms (0% of total)

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

bsearch11.0ms (0.4%)

Memory

18.0MiB live, 18.0MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	0.23148851948269603	12.846144759126155
8.0ms	-5420708092.508504	-0.0004461531619640552

Samples

4.0ms

128×

valid

Compiler

Compiled 592 to 525 computations (11.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sub!: 1.0ms (51.9% of total)

ival-mult!: 1.0ms (51.9% of total)

adjust: 0.0ms (0% of total)

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

bsearch30.0ms (1.1%)

Memory

-39.2MiB live, 53.9MiB allocated; 12ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.6723431308830312e-8	7417.673622732159
15.0ms	-3.6225259633841813	-2.7914705953469463e-5

Samples

11.0ms

304×

valid

Compiler

Compiled 679 to 585 computations (13.8% saved)

Precisions

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

ival-sub!: 2.0ms (43.5% of total)

ival-mult!: 2.0ms (43.5% of total)

ival-add!: 1.0ms (21.8% of total)

adjust: 0.0ms (0% of total)

derivations350.0ms (13%)

Memory

9.1MiB live, 244.5MiB allocated; 42ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 408 to 70 computations (82.8% saved)

preprocess71.0ms (2.6%)

Memory: 24.1MiB live, 164.7MiB allocated; 11ms collecting garbage
Compiler: Compiled 838 to 160 computations (80.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample708.0ms (26.3%)

explain89.0ms (3.3%)

preprocess108.0ms (4%)

series7.0ms (0.3%)

rewrite262.0ms (9.7%)

eval12.0ms (0.4%)

prune61.0ms (2.3%)

series8.0ms (0.3%)

rewrite247.0ms (9.1%)

eval23.0ms (0.8%)

prune10.0ms (0.4%)

series105.0ms (3.9%)

rewrite201.0ms (7.4%)

eval7.0ms (0.3%)

prune5.0ms (0.2%)

series4.0ms (0.2%)

rewrite186.0ms (6.9%)

eval26.0ms (1%)

prune5.0ms (0.2%)

regimes17.0ms (0.6%)

regimes14.0ms (0.5%)

regimes4.0ms (0.1%)

regimes23.0ms (0.8%)

regimes9.0ms (0.3%)

regimes2.0ms (0.1%)

regimes7.0ms (0.2%)

regimes5.0ms (0.2%)

regimes4.0ms (0.2%)

bsearch35.0ms (1.3%)

bsearch2.0ms (0.1%)

bsearch19.0ms (0.7%)

bsearch18.0ms (0.7%)

bsearch11.0ms (0.4%)

bsearch30.0ms (1.1%)

derivations350.0ms (13%)

preprocess71.0ms (2.6%)

end0.0ms (0%)

Profiling