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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

1.4MiB live, 1.4MiB 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)

sample1.4s (24.8%)

Memory

48.4MiB live, 1 093.7MiB allocated; 242ms collecting garbage

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 789.0ms

ival-sub: 240.0ms (30.4% of total)

const: 235.0ms (29.8% of total)

ival-mult: 219.0ms (27.8% of total)

ival-add: 75.0ms (9.5% of total)

exact: 8.0ms (1% of total)

ival-true: 6.0ms (0.8% of total)

ival-assert: 3.0ms (0.4% of total)

adjust: 2.0ms (0.3% of total)

Bogosity

explain124.0ms (2.2%)

Memory

-17.9MiB live, 266.8MiB allocated; 42ms 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

47.0ms

512×

valid

Compiler

Compiled 87 to 34 computations (60.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-sub: 11.0ms (35.8% of total)

const: 9.0ms (29.3% of total)

ival-mult: 6.0ms (19.5% of total)

ival-add: 2.0ms (6.5% of total)

exact: 1.0ms (3.3% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess209.0ms (3.7%)

Memory

10.0MiB live, 251.9MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	61
1	57	61
2	118	58
3	232	57
4	359	57
5	652	57
6	3798	55
0	10	11
0	15	11
1	25	11
2	43	11
3	79	11
4	133	11
5	352	11
6	2322	11
7	6164	11
0	8193	9

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify145.0ms (2.6%)

Memory

16.1MiB live, 153.4MiB allocated; 13ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 y #s(literal 1 binary64))
cost-diff	0	(*.f64 x (-.f64 y #s(literal 1 binary64)))
cost-diff	1	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
cost-diff	1	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
0	15	36
1	25	36
2	43	36
3	79	36
4	133	36
5	352	36
6	2322	36
7	6164	36
0	8193	33

Stop Event

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

Calls

Call 1

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

localize46.0ms (0.8%)

Memory

-26.2MiB live, 77.6MiB allocated; 17ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
accuracy	0.0	(*.f64 y #s(literal 1/2 binary64))
accuracy	0.00390625	(*.f64 x (-.f64 y #s(literal 1 binary64)))
accuracy	0.0078125	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))

Samples

27.0ms

256×

valid

Compiler

Compiled 38 to 12 computations (68.4% saved)

Precisions

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

ival-sub: 10.0ms (52.6% of total)

const: 4.0ms (21% of total)

ival-mult: 3.0ms (15.8% of total)

ival-add: 1.0ms (5.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated; 0ms collecting garbage

Counts

5 → 29

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

Outputs
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(* -1/2 y)
(- (* x (- y 1)) (* 1/2 y))
(* x (- y 1))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(* -1 x)
(+ (* -1 x) (* y (- x 1/2)))
(+ (* -1 x) (* x y))
-1
(- y 1)
(* 1/2 y)
(* y (- x 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(* x y)
(* y (+ x (* -1 (/ x y))))
y
(* y (- 1 (/ 1 y)))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (- (/ 1 y) 1)))

Calls

6 calls:

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

simplify224.0ms (4%)

Memory

-15.0MiB live, 172.0MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	189
1	250	188
2	857	188
3	2769	164
4	6289	164
0	8301	157

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 28

Calls

Call 1

Inputs
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(* -1/2 y)
(- (* x (- y 1)) (* 1/2 y))
(* x (- y 1))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(* -1 x)
(+ (* -1 x) (* y (- x 1/2)))
(+ (* -1 x) (* x y))
-1
(- y 1)
(* 1/2 y)
(* y (- x 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(* x y)
(* y (+ x (* -1 (/ x y))))
y
(* y (- 1 (/ 1 y)))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (- (/ 1 y) 1)))

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

rewrite66.0ms (1.2%)

Memory

33.4MiB live, 77.5MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
0	15	31
1	65	31
0	523	29

Stop Event

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

Counts

5 → 52

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

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

eval10.0ms (0.2%)

Memory: -24.4MiB live, 22.3MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 278 to 242 computations (81.1% saved)

prune4.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	60	5	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	5	66

Accuracy

100.0%

Counts

66 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.1%	(+.f64 (-.f64 #s(approx (* x (- y 1)) (.f64 y x)) (.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)))
▶	46.7%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
▶	55.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
▶	44.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))

Compiler

Compiled 166 to 138 computations (16.9% saved)

simplify145.0ms (2.6%)

Memory

-11.7MiB live, 183.0MiB allocated; 17ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (* x (- y 1)) (*.f64 y x))
cost-diff	0	(+.f64 (-.f64 #s(approx (* x (- y 1)) (.f64 y x)) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
cost-diff	1	(-.f64 #s(approx (* x (- y 1)) (.f64 y x)) (.f64 y #s(literal 1/2 binary64)))
cost-diff	0	(-.f64 x #s(literal 1/2 binary64))
cost-diff	0	(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
cost-diff	0	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
cost-diff	0	(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
cost-diff	0	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
cost-diff	0	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
cost-diff	0	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
cost-diff	0	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
cost-diff	0	(-.f64 x #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
cost-diff	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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	156
0	35	156
1	55	156
2	90	151
3	152	151
4	229	151
5	450	151
6	2474	151
7	6358	151
0	8111	146

Stop Event

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

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

localize90.0ms (1.6%)

Memory

5.9MiB live, 106.7MiB allocated; 8ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y x)
accuracy	0.0	(*.f64 y #s(literal 1/2 binary64))
accuracy	0.0078125	(-.f64 #s(approx (* x (- y 1)) (.f64 y x)) (.f64 y #s(literal 1/2 binary64)))
accuracy	34.87140824761516	#s(approx (* x (- y 1)) (*.f64 y x))
accuracy	0.0	(-.f64 x #s(literal 1/2 binary64))
accuracy	0.0078125	(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
accuracy	35.267980709721535	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
accuracy	0.0	(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
accuracy	34.14329716435208	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
accuracy	0.0	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
accuracy	28.240257355893654	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
accuracy	0.0	(-.f64 x #s(literal 1/2 binary64))
accuracy	0.0	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
accuracy	0.0	#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)))
accuracy	0.0078125	(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))

Samples

54.0ms

256×

valid

Compiler

Compiled 124 to 20 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 27.0ms (67.2% of total)

ival-sub: 5.0ms (12.4% of total)

const: 5.0ms (12.4% of total)

ival-add: 3.0ms (7.5% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

-21.1MiB live, 23.7MiB allocated; 6ms collecting garbage

Counts

14 → 46

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

Outputs
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))
-1/2
(- x 1/2)
918938533204673/1000000000000000
(+ 918938533204673/1000000000000000 (* -1 x))
(* -1/2 y)
(+ (* -1/2 y) (* x y))
(- (* x (- y 1)) (* 1/2 y))
(* x (- y 1))
(* x y)
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* -1 x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(* x (+ y (* -1/2 (/ y x))))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x))))))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(- 918938533204673/1000000000000000 x)
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(* y (- x 1/2))
(+ (* -1 x) (* y (- x 1/2)))
(+ (* -1 x) (* x y))
(* 1/2 y)
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(* y (+ x (* -1 (/ x y))))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(* -1 (* y (+ (* -1 x) (/ x y))))

Calls

6 calls:

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

simplify132.0ms (2.3%)

Memory

-6.7MiB live, 187.7MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	295
1	416	291
2	1434	255
3	4416	255
0	8378	239

Stop Event

1×	iter limit
1×	node limit

Counts

46 → 45

Calls

Call 1

Inputs
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))
-1/2
(- x 1/2)
918938533204673/1000000000000000
(+ 918938533204673/1000000000000000 (* -1 x))
(* -1/2 y)
(+ (* -1/2 y) (* x y))
(- (* x (- y 1)) (* 1/2 y))
(* x (- y 1))
(* x y)
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* -1 x)
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(* x (+ y (* -1/2 (/ y x))))
(* x (- (+ y (* -1/2 (/ y x))) 1))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x))))))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* 1/2 (/ y x)))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(- 918938533204673/1000000000000000 x)
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(* y (- x 1/2))
(+ (* -1 x) (* y (- x 1/2)))
(+ (* -1 x) (* x y))
(* 1/2 y)
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(* y (- (* 918938533204673/1000000000000000 (/ 1 y)) 1/2))
(* y (- (+ x (* -1 (/ x y))) 1/2))
(* y (+ x (* -1 (/ x y))))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(* -1 (* y (- 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (/ x y)))))
(* -1 (* y (+ (* -1 x) (/ x y))))

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

rewrite92.0ms (1.6%)

Memory

30.6MiB live, 129.2MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	134
0	35	134
1	159	134
0	1312	130

Stop Event

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

Counts

14 → 91

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

eval14.0ms (0.3%)

Memory: -15.1MiB live, 31.5MiB allocated; 3ms collecting garbage
Compiler: Compiled 3 448 to 414 computations (88% saved)

prune7.0ms (0.1%)

Memory

18.5MiB live, 18.5MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	121	5	126
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	122	9	131

Accuracy

100.0%

Counts

131 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.1%	(+.f64 (-.f64 #s(approx (* x (- y 1)) (.f64 y x)) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
▶	72.5%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))))
✓	46.7%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
✓	55.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
✓	44.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
▶	19.4%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
▶	29.8%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
▶	28.6%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
▶	54.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x)))

Compiler

Compiled 271 to 211 computations (22.1% saved)

simplify182.0ms (3.2%)

Memory

-26.8MiB live, 162.1MiB allocated; 21ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 y #s(literal 1 binary64))
cost-diff	0	(*.f64 (-.f64 y #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
cost-diff	0	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x)))
cost-diff	0	#s(approx (- x 1/2) #s(literal -1/2 binary64))
cost-diff	0	(*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)
cost-diff	0	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))
cost-diff	0	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
cost-diff	0	#s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))
cost-diff	0	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
cost-diff	0	#s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))
cost-diff	0	(-.f64 x #s(literal 1/2 binary64))
cost-diff	0	(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
cost-diff	0	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	184
0	36	184
1	52	184
2	79	184
3	130	184
4	212	184
5	437	184
6	2470	184
7	6430	184
0	8186	172

Stop Event

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

Calls

Call 1

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

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

localize58.0ms (1%)

Memory

1.6MiB live, 93.8MiB allocated; 8ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 y #s(literal 1 binary64))
accuracy	0.0	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x)))
accuracy	0.00390625	(*.f64 (-.f64 y #s(literal 1 binary64)) x)
accuracy	28.87095982855468	#s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
accuracy	0.0078125	(*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)
accuracy	34.1745557897975	#s(approx (- x 1/2) #s(literal -1/2 binary64))
accuracy	35.267980709721535	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
accuracy	0.0	(neg.f64 x)
accuracy	28.240257355893654	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
accuracy	28.848433344208715	#s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))
accuracy	28.240257355893654	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
accuracy	34.15904737625122	#s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))
accuracy	0.0	(neg.f64 x)
accuracy	0.0	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))))
accuracy	0.0078125	(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
accuracy	28.848433344208715	#s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))

Samples

43.0ms

256×

valid

Compiler

Compiled 117 to 19 computations (83.8% saved)

Precisions

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

ival-mult: 6.0ms (30.8% of total)

ival-sub: 5.0ms (25.7% of total)

const: 5.0ms (25.7% of total)

ival-add: 2.0ms (10.3% of total)

ival-neg: 1.0ms (5.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

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

Counts

15 → 42

Calls

Call 1

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

Outputs
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))
-1/2
(- x 1/2)
918938533204673/1000000000000000
(+ 918938533204673/1000000000000000 (* -1 x))
(* -1 x)
(* -1/2 y)
(+ (* -1/2 y) (* x y))
(* x (- y 1))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(* x y)
(* x (+ y (* -1/2 (/ y x))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x))))))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(- 918938533204673/1000000000000000 x)
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(* y (- x 1/2))
(+ (* -1 x) (* x y))
-1
(- y 1)
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(* y (+ x (* -1 (/ x y))))
y
(* y (- 1 (/ 1 y)))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -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) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (neg x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (* (- y 1) x) (- y 1))
1.0ms	x	@	inf	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (- x 1/2) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (neg x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (* (- y 1) x) (- y 1))
1.0ms	y	@	-inf	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (- x 1/2) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (neg x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (* (- y 1) x) (- y 1))
1.0ms	y	@	inf	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (- x 1/2) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (neg x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (* (- y 1) x) (- y 1))
1.0ms	x	@	0	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (- x 1/2) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (neg x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (* (- y 1) x) (- y 1))

simplify183.0ms (3.2%)

Memory

6.6MiB live, 187.5MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	244
1	382	244
2	1304	220
3	4036	219
0	8495	205

Stop Event

1×	iter limit
1×	node limit

Counts

42 → 40

Calls

Call 1

Inputs
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(+ 918938533204673/1000000000000000 (* -1/2 y))
(+ 918938533204673/1000000000000000 (+ (* -1/2 y) (* x (- y 1))))
-1/2
(- x 1/2)
918938533204673/1000000000000000
(+ 918938533204673/1000000000000000 (* -1 x))
(* -1 x)
(* -1/2 y)
(+ (* -1/2 y) (* x y))
(* x (- y 1))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (- (+ y (+ (* -1/2 (/ y x)) (* 918938533204673/1000000000000000 (/ 1 x)))) 1))
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (- (* 918938533204673/1000000000000000 (/ 1 x)) 1))
(* x y)
(* x (+ y (* -1/2 (/ y x))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ 1 (* -1 y))))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1/2 y)) x))))))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- 1 (* 918938533204673/1000000000000000 (/ 1 x)))))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(- 918938533204673/1000000000000000 x)
(- (+ 918938533204673/1000000000000000 (* y (- x 1/2))) x)
(* y (- x 1/2))
(+ (* -1 x) (* x y))
-1
(- y 1)
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* y (- (+ x (* 918938533204673/1000000000000000 (/ 1 y))) (+ 1/2 (/ x y))))
(* y (+ x (* -1 (/ x y))))
y
(* y (- 1 (/ 1 y)))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ (* -1 (- x 1/2)) (* -1 (/ (- 918938533204673/1000000000000000 x) y)))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (- (/ 1 y) 1)))

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

rewrite167.0ms (3%)

Memory

6.2MiB live, 138.4MiB allocated; 109ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	166
0	36	166
1	136	166
0	1025	159

Stop Event

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

Counts

15 → 47

Calls

Call 1

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

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

eval7.0ms (0.1%)

Memory: 23.3MiB live, 23.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 060 to 250 computations (87.9% saved)

prune15.0ms (0.3%)

Memory

-24.4MiB live, 18.5MiB allocated; 13ms collecting garbage

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	0	0	0
Picked	0	5	5
Done	0	4	4
Total	68	10	78

Accuracy

100.0%

Counts

78 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.1%	(+.f64 (-.f64 #s(approx (* x (- y 1)) (.f64 y x)) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
✓	72.5%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))))
✓	46.7%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
✓	55.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
✓	44.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
✓	19.4%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
✓	29.8%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
✓	28.6%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
✓	54.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x)))
▶	27.2%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 y x)))

Compiler

Compiled 188 to 147 computations (21.8% saved)

simplify220.0ms (3.9%)

Memory

31.0MiB live, 210.7MiB allocated; 103ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (* (- x 1/2) y) (*.f64 y x))
cost-diff	0	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 y x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	35
0	16	35
1	28	35
2	46	35
3	82	35
4	144	35
5	370	35
6	2381	35
7	6294	35
0	8044	33

Stop Event

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

Calls

Call 1

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

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

localize275.0ms (4.9%)

Memory

65.5MiB live, 170.1MiB allocated; 144ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y x)
accuracy	28.50037282025981	#s(approx (* (- x 1/2) y) (*.f64 y x))
accuracy	35.267980709721535	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 y x)))

Samples

268.0ms

256×

valid

Compiler

Compiled 23 to 15 computations (34.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 261.0ms

ival-mult: 240.0ms (92.1% of total)

ival-sub: 14.0ms (5.4% of total)

const: 5.0ms (1.9% of total)

ival-add: 1.0ms (0.4% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated; 0ms collecting garbage

Counts

3 → 16

Calls

Call 1

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

Outputs
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(* -1/2 y)
(+ (* -1/2 y) (* x y))
(* x y)
(* x (- y 1))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (+ y (* -1/2 (/ y x))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(* y (- x 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))

Calls

6 calls:

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

simplify190.0ms (3.4%)

Memory

-36.4MiB live, 203.8MiB allocated; 83ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	113
1	208	110
2	692	110
3	2364	102
0	8020	97

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 16

Calls

Call 1

Inputs
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(* -1/2 y)
(+ (* -1/2 y) (* x y))
(* x y)
(* x (- y 1))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* x (+ y (* -1/2 (/ y x))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 y) (* 1/2 (/ y x)))))
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(* y (- x 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))

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

rewrite231.0ms (4.1%)

Memory

1.8MiB live, 105.0MiB allocated; 185ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	33
0	16	33
1	82	33
0	640	32

Stop Event

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

Counts

3 → 4

Calls

Call 1

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

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

eval1.0ms (0%)

Memory: 3.5MiB live, 3.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 261 to 48 computations (81.6% saved)

prune5.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	0	0
Picked	0	1	1
Done	0	9	9
Total	13	10	23

Accuracy

100.0%

Counts

23 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.1%	(+.f64 (-.f64 #s(approx (* x (- y 1)) (.f64 y x)) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
✓	72.5%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))))
✓	46.7%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
✓	55.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
✓	44.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
✓	19.4%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
✓	29.8%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
✓	28.6%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
✓	54.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x)))
✓	27.2%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 y x)))

Compiler

Compiled 407 to 198 computations (51.4% saved)

regimes18.0ms (0.3%)

Memory

-10.2MiB live, 36.2MiB allocated; 4ms collecting garbage

Counts

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

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

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)

regimes15.0ms (0.3%)

Memory

-13.4MiB live, 33.6MiB allocated; 3ms 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) #s(approx (* (- x 1/2) y) (*.f64 y 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) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))))

Outputs

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

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

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

Calls

4 calls:

5.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
3.0ms	y
3.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
3.0ms	x

Results

Accuracy	Segments	Branch
99.2%	3	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
99.2%	3	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
99.4%	3	`x`
98.2%	3	`y`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes12.0ms (0.2%)

Memory

29.9MiB live, 29.9MiB allocated; 0ms collecting garbage

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
97.5%	3	`y`
85.4%	4	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
85.4%	4	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
98.1%	3	`x`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes15.0ms (0.3%)

Memory

-22.6MiB live, 27.7MiB allocated; 4ms collecting garbage

Counts

6 → 5

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

Calls

4 calls:

7.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
3.0ms	y
2.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
2.0ms	x

Results

Accuracy	Segments	Branch
69.4%	4	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
69.4%	4	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
85.2%	5	`y`
76.8%	4	`x`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes3.0ms (0%)

Memory

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

Counts

5 → 4

Calls

Call 1

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
83.3%	4	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes2.0ms (0%)

Memory

5.9MiB live, 5.9MiB 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) #s(approx (* (- x 1/2) y) (*.f64 y x)))

Outputs

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
79.9%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB 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	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
2.0ms	y
2.0ms	x
2.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Results

Accuracy	Segments	Branch
55.9%	1	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
55.9%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
55.9%	1	`x`
55.9%	1	`y`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes8.0ms (0.1%)

Memory

-30.9MiB live, 15.0MiB allocated; 4ms 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:

3.0ms	x
1.0ms	y
1.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
1.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))

Results

Accuracy	Segments	Branch
55.2%	3	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
55.2%	3	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
55.3%	3	`x`
33.7%	2	`y`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes5.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB 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 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
28.6%	1	`y`
28.6%	1	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
28.6%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
28.6%	1	`x`

Compiler

Compiled 22 to 22 computations (0% saved)

bsearch76.0ms (1.4%)

Memory

22.1MiB live, 68.5MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	6.343791192139904e-15	9.787002001904054e-10
57.0ms	-3.2582260033572974e-15	-8.410909453016407e-18

Samples

61.0ms

272×

valid

Compiler

Compiled 677 to 576 computations (14.9% saved)

Precisions

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

const: 5.0ms (38.9% of total)

ival-sub: 3.0ms (23.3% of total)

ival-mult: 3.0ms (23.3% of total)

ival-add: 1.0ms (7.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch91.0ms (1.6%)

Memory

-36.6MiB live, 60.5MiB allocated; 8ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.605909501644626e-6	16.520897217157298
61.0ms	-1.521724846888468	-3.2582260033572974e-15

Samples

65.0ms

304×

valid

Compiler

Compiled 831 to 680 computations (18.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

const: 6.0ms (41.1% of total)

ival-mult: 4.0ms (27.4% of total)

ival-sub: 3.0ms (20.5% of total)

ival-add: 1.0ms (6.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch73.0ms (1.3%)

Memory

1.8MiB live, 93.0MiB allocated; 13ms collecting garbage

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
14.0ms	1.5742191079256934e+53	5.947919755374392e+57
14.0ms	7.006119781454009e-12	3.38846049166746e-8
20.0ms	-17071505.762639645	-1283.4796358081974
12.0ms	-6.155266246860476e+257	-1.3310073159923661e+256

Samples

41.0ms

496×

valid

Compiler

Compiled 1 126 to 959 computations (14.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-sub: 11.0ms (37.4% of total)

const: 9.0ms (30.6% of total)

ival-mult: 6.0ms (20.4% of total)

ival-add: 2.0ms (6.8% of total)

exact: 1.0ms (3.4% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch20.0ms (0.3%)

Memory

24.0MiB live, 24.0MiB allocated; 0ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
16.0ms	3.38846049166746e-8	2.822183734373631
1.0ms	-17071505.762639645	-1283.4796358081974
1.0ms	-6.155266246860476e+257	-1.3310073159923661e+256

Samples

10.0ms

144×

valid

Compiler

Compiled 906 to 749 computations (17.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

const: 3.0ms (43.8% of total)

ival-sub: 2.0ms (29.2% of total)

ival-mult: 2.0ms (29.2% of total)

ival-add: 1.0ms (14.6% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.38846049166746e-8	2.822183734373631
1.0ms	-17071505.762639645	-1283.4796358081974

Compiler

Compiled 626 to 525 computations (16.1% saved)

bsearch75.0ms (1.3%)

Memory

-13.8MiB live, 30.4MiB allocated; 9ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
64.0ms	16.520897217157298	115197.84659900414
8.0ms	-1.521724846888468	-3.2582260033572974e-15

Samples

64.0ms

192×

valid

Compiler

Compiled 644 to 555 computations (13.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

const: 3.0ms (31.9% of total)

ival-sub: 2.0ms (21.3% of total)

ival-mult: 2.0ms (21.3% of total)

ival-add: 1.0ms (10.6% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify75.0ms (1.3%)

Memory

-1.8MiB live, 47.8MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	417
1	109	417
2	140	417
3	199	417
4	294	417
5	578	417
6	3166	417
7	7473	417

Stop Event

1×	node limit

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)))
(if (<=.f64 x #s(literal -2028240960365167/633825300114114700748351602688 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))) (if (<=.f64 x #s(literal 4593918114535591/4835703278458516698824704 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 (-.f64 x #s(literal 1/2 binary64)) y #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))))))
(if (<=.f64 x #s(literal -3152519739159347/4503599627370496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (.f64 (-.f64 y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 8286623314361713/9007199254740992 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) #s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x)))))
(if (<=.f64 y #s(literal -480000000000000014461276752067460401387433539091853661839411830353571584021270191754133931009189966512757044648242935752624128385609461125450479760957874559341375898963722262412499058714990186890762364652936498157830784915336949755988611798280467072614924288 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) (if (<=.f64 y #s(literal -1300 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (.f64 y x))) (if (<=.f64 y #s(literal 891582791965789/75557863725914323419136 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 y #s(literal 165000000000000009515280497548995599346638375163527168 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) #s(approx (* (- x 1/2) y) (*.f64 y x)))))))
(if (<=.f64 y #s(literal -480000000000000014461276752067460401387433539091853661839411830353571584021270191754133931009189966512757044648242935752624128385609461125450479760957874559341375898963722262412499058714990186890762364652936498157830784915336949755988611798280467072614924288 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) (if (<=.f64 y #s(literal -1300 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (.f64 y x))) (if (<=.f64 y #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 y x))))))
(if (<=.f64 y #s(literal -1300 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (.f64 y x))) (if (<=.f64 y #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 y x)))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(if (<=.f64 x #s(literal -8286623314361713/9007199254740992 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) (if (<=.f64 x #s(literal 17 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))

Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(if (<=.f64 x #s(literal -2028240960365167/633825300114114700748351602688 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))) (if (<=.f64 x #s(literal 4593918114535591/4835703278458516698824704 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 (-.f64 x #s(literal 1/2 binary64)) y #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))))))
(if (or (<=.f64 x #s(literal -2028240960365167/633825300114114700748351602688 binary64)) (not (<=.f64 x #s(literal 4593918114535591/4835703278458516698824704 binary64)))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))))
(if (<=.f64 x #s(literal -3152519739159347/4503599627370496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (.f64 (-.f64 y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 8286623314361713/9007199254740992 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) #s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x)))))
(if (or (<=.f64 x #s(literal -3152519739159347/4503599627370496 binary64)) (not (<=.f64 x #s(literal 8286623314361713/9007199254740992 binary64)))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (.f64 (-.f64 y #s(literal 1 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))))
(if (<=.f64 y #s(literal -480000000000000014461276752067460401387433539091853661839411830353571584021270191754133931009189966512757044648242935752624128385609461125450479760957874559341375898963722262412499058714990186890762364652936498157830784915336949755988611798280467072614924288 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) (if (<=.f64 y #s(literal -1300 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (.f64 y x))) (if (<=.f64 y #s(literal 891582791965789/75557863725914323419136 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 y #s(literal 165000000000000009515280497548995599346638375163527168 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) #s(approx (* (- x 1/2) y) (*.f64 y x)))))))
(if (<=.f64 y #s(literal -480000000000000014461276752067460401387433539091853661839411830353571584021270191754133931009189966512757044648242935752624128385609461125450479760957874559341375898963722262412499058714990186890762364652936498157830784915336949755988611798280467072614924288 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) (if (<=.f64 y #s(literal -1300 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (.f64 y x))) (if (<=.f64 y #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 y x))))))
(if (<=.f64 y #s(literal -480000000000000014461276752067460401387433539091853661839411830353571584021270191754133931009189966512757044648242935752624128385609461125450479760957874559341375898963722262412499058714990186890762364652936498157830784915336949755988611798280467072614924288 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) (if (or (<=.f64 y #s(literal -1300 binary64)) (not (<=.f64 y #s(literal 2476979795053773/2251799813685248 binary64)))) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (.f64 y x))) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(if (<=.f64 y #s(literal -1300 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (.f64 y x))) (if (<=.f64 y #s(literal 2476979795053773/2251799813685248 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 y x)))))
(if (or (<=.f64 y #s(literal -1300 binary64)) (not (<=.f64 y #s(literal 2476979795053773/2251799813685248 binary64)))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (.f64 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(literal 918938533204673/1000000000000000 binary64) x))
(if (<=.f64 x #s(literal -8286623314361713/9007199254740992 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) (if (<=.f64 x #s(literal 17 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))))
(if (or (<=.f64 x #s(literal -8286623314361713/9007199254740992 binary64)) (not (<=.f64 x #s(literal 17 binary64)))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))

derivations789.0ms (14%)

Memory

43.2MiB live, 505.8MiB allocated; 81ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	189
1	250	188
2	857	188
3	2769	164
4	6289	164
0	8301	157
0	122	295
1	416	291
2	1434	255
3	4416	255
0	8378	239
0	111	244
1	382	244
2	1304	220
3	4036	219
0	8495	205

Stop Event

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

Compiler

Compiled 417 to 81 computations (80.6% saved)

preprocess85.0ms (1.5%)

Memory: -22.7MiB live, 120.0MiB allocated; 14ms collecting garbage
Compiler: Compiled 856 to 182 computations (78.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (24.8%)

explain124.0ms (2.2%)

preprocess209.0ms (3.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify145.0ms (2.6%)

localize46.0ms (0.8%)

series6.0ms (0.1%)

simplify224.0ms (4%)

rewrite66.0ms (1.2%)

eval10.0ms (0.2%)

prune4.0ms (0.1%)

simplify145.0ms (2.6%)

localize90.0ms (1.6%)

series13.0ms (0.2%)

simplify132.0ms (2.3%)

rewrite92.0ms (1.6%)

eval14.0ms (0.3%)

prune7.0ms (0.1%)

simplify182.0ms (3.2%)

localize58.0ms (1%)

series6.0ms (0.1%)

simplify183.0ms (3.2%)

rewrite167.0ms (3%)

eval7.0ms (0.1%)

prune15.0ms (0.3%)

simplify220.0ms (3.9%)

localize275.0ms (4.9%)

series4.0ms (0.1%)

simplify190.0ms (3.4%)

rewrite231.0ms (4.1%)

eval1.0ms (0%)

prune5.0ms (0.1%)

regimes18.0ms (0.3%)

regimes15.0ms (0.3%)

regimes12.0ms (0.2%)

regimes15.0ms (0.3%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch76.0ms (1.4%)

bsearch91.0ms (1.6%)

bsearch73.0ms (1.3%)

bsearch20.0ms (0.3%)

bsearch2.0ms (0%)

bsearch75.0ms (1.3%)

simplify75.0ms (1.3%)

derivations789.0ms (14%)

preprocess85.0ms (1.5%)

end0.0ms (0%)

Profiling