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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

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)

sample1.2s (17.9%)

Memory

26.8MiB live, 1 355.1MiB allocated

Samples

934.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 577.0ms

const: 210.0ms (36.4% of total)

ival-sub: 173.0ms (30% of total)

ival-mult: 127.0ms (22% of total)

ival-add: 49.0ms (8.5% of total)

exact: 9.0ms (1.6% of total)

ival-true: 6.0ms (1% of total)

ival-assert: 4.0ms (0.7% of total)

Bogosity

explain233.0ms (3.4%)

Memory

-35.7MiB live, 209.7MiB allocated

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

58.0ms

512×

valid

Compiler

Compiled 123 to 44 computations (64.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

const: 27.0ms (63.9% of total)

ival-mult: 6.0ms (14.2% of total)

ival-sub: 5.0ms (11.8% of total)

ival-add: 2.0ms (4.7% of total)

exact: 1.0ms (2.4% of total)

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

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

preprocess195.0ms (2.8%)

Memory

16.0MiB live, 93.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	61
1	75	59
2	196	55
3	628	49
4	1543	45
5	2879	45
6	3490	45
7	3604	45
8	3624	45
9	3626	45
10	3628	45
11	3648	45
0	10	11
0	15	11
1	30	11
2	58	11
3	116	9
4	218	9
5	444	9
6	868	9
7	1341	9
8	1632	9
9	1680	9
0	1680	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

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)

simplify65.0ms (0.9%)

Memory

-5.1MiB live, 37.8MiB allocated

Algorithm

1×	egg-herbie

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	128	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
cost-diff	320	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
0	15	36
1	30	36
2	58	36
3	116	32
4	218	32
5	444	32
6	868	32
7	1341	32
8	1632	32
9	1680	32
0	1680	31

Stop Event

1×	iter limit
1×	saturated
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 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (neg.f64 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)

localize32.0ms (0.5%)

Memory

-3.3MiB live, 35.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y #s(literal 1/2 binary64))
accuracy	0.00390625	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
accuracy	0.00390625	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
accuracy	0.01171875	(*.f64 x (-.f64 y #s(literal 1 binary64)))

Samples

24.0ms

256×

valid

Compiler

Compiled 74 to 22 computations (70.3% saved)

Precisions

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

const: 4.0ms (34% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

5 → 29

Calls

Call 1

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

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

simplify162.0ms (2.3%)

Memory

8.7MiB live, 135.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	181
1	232	180
2	731	156
3	1925	156
4	6624	156
0	8112	149

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 28

Calls

Call 1

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

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

rewrite207.0ms (3%)

Memory

10.8MiB live, 242.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
0	15	31
1	69	31
2	524	31
3	7740	31
0	8269	28

Stop Event

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

Counts

5 → 384

Calls

Call 1

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

Outputs
(.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 y y) (pow.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64)))) (fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal -1/2 binary64)) y (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 4 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (.f64 #s(literal 1/2 binary64) y))))
(.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (.f64 #s(literal 1/2 binary64) y)) (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (.f64 #s(literal 1/2 binary64) y)) (pow.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 2 binary64))) (pow.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 y y) (pow.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (.f64 y y) (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 (pow.f64 (fma.f64 #s(literal 1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 y y) (pow.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (.f64 #s(literal 1/2 binary64) y) (pow.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64))))
(.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 y y) (pow.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)))))
(.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (.f64 #s(literal 1/2 binary64) y) (pow.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 2 binary64))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (fma.f64 #s(literal 1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x))))
(.f64 (fma.f64 #s(literal 1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 y y) (pow.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal -1 binary64)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (fma.f64 (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 y #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #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 (pow.f64 y #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64)))
(/.f64 (-.f64 (fma.f64 y y (pow.f64 y #s(literal 3 binary64))) (-.f64 y #s(literal -1 binary64))) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal -1 binary64) y))
(/.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) (neg.f64 y))) (+.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal -1 binary64)) (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) (neg.f64 y))) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) 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 #s(literal 1 binary64) (neg.f64 y)))))
(/.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 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (neg.f64 y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) (neg.f64 y))))
(/.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 y #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) (neg.f64 y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))))
(neg.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))))
(neg.f64 (/.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))))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 y y #s(literal -1 binary64)) y) (neg.f64 (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 (/.f64 (.f64 y y) (-.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 #s(literal 1 binary64) y) (neg.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 y y) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 y #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) y #s(literal -1 binary64))
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 y (/.f64 y (-.f64 y #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 y #s(literal 1 binary64) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) (neg.f64 y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) (neg.f64 y)))))
(-.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal -1 binary64)))) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))
(-.f64 y #s(literal 1 binary64))
(+.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal -1 binary64)))) (neg.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) y)
(+.f64 y #s(literal -1 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) y)
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) y))
(*.f64 y #s(literal 1/2 binary64))

eval51.0ms (0.7%)

Memory: -15.7MiB live, 103.5MiB allocated
Compiler: Compiled 11 351 to 1 381 computations (87.8% saved)

prune9.0ms (0.1%)

Memory

-7.4MiB live, 31.0MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	391	5	396
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	392	5	397

Accuracy

100.0%

Counts

397 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.0%	(/.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal -918938533204673/1000000000000000 binary64))) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))
▶	74.4%	(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64))
▶	100.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
▶	51.6%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
▶	53.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))

Compiler

Compiled 200 to 148 computations (26% saved)

simplify159.0ms (2.3%)

Memory

32.0MiB live, 226.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 3 binary64)))
cost-diff	0	(/.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal -918938533204673/1000000000000000 binary64))) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))
cost-diff	192	(fma.f64 #s(literal -1/2 binary64) y (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal -918938533204673/1000000000000000 binary64)))
cost-diff	192	(fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x))
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)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
cost-diff	0	(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64))
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	34	237
0	51	237
1	96	232
2	202	226
3	903	218
4	4689	218
0	8321	215

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

localize241.0ms (3.5%)

Memory

-35.0MiB live, 186.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(*.f64 (-.f64 y #s(literal 1 binary64)) x)
accuracy	0.03125	(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal -918938533204673/1000000000000000 binary64))) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))
accuracy	0.03125	(pow.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 3 binary64))
accuracy	32.7953047519804	(/.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal -918938533204673/1000000000000000 binary64))) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))
accuracy	0.0	(-.f64 x #s(literal 1/2 binary64))
accuracy	0.00390625	(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64))
accuracy	0.0078125	(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
accuracy	23.34817189193742	#s(approx (- (* x (- y 1)) (* y 1/2)) (*.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	31.002096289492126	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
accuracy	0.00390625	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
accuracy	30.06331591010709	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
accuracy	0.0	(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
accuracy	0.0	(-.f64 x #s(literal 1/2 binary64))
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	0.00390625	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)

Samples

202.0ms

256×

valid

Compiler

Compiled 463 to 69 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 185.0ms

const: 96.0ms (51.9% of total)

ival-add: 68.0ms (36.8% of total)

ival-mult: 9.0ms (4.9% of total)

ival-sub: 5.0ms (2.7% of total)

ival-pow: 4.0ms (2.2% of total)

ival-div: 2.0ms (1.1% of total)

exact: 1.0ms (0.5% of total)

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

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

series36.0ms (0.5%)

Memory

4.8MiB live, 43.0MiB allocated

Counts

17 → 126

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

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)
(- (* x (- y 1)) (* 1/2 y))
(+ (* -1/2 y) (* x y))
(+ (* -1/2 y) (* x (- y 1)))
(- (* -1/2 y) 918938533204673/1000000000000000)
(- (+ (* -1/2 y) (* x (- y 1))) 918938533204673/1000000000000000)
(/ (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -1/8 (pow y 3))) (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000)))))
(+ (* -1/8 (/ (pow y 3) (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000)))))) (+ (* x (- (+ (* 1/4 (/ (* (pow y 2) (- y 1)) (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000)))))) (* 1/2 (/ (* (pow y 2) (- y 1)) (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000))))))) (/ (* (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -1/8 (pow y 3))) (+ (* -1/2 (* y (- y 1))) (* (- y 1) (- (* -1/2 y) 918938533204673/1000000000000000)))) (pow (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000)))) 2)))) (* 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/ 1 (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000))))))))
(+ (* -1/8 (/ (pow y 3) (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000)))))) (+ (* x (- (+ (* 1/4 (/ (* (pow y 2) (- y 1)) (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000)))))) (+ (* 1/2 (/ (* (pow y 2) (- y 1)) (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000)))))) (* x (- (+ (* -1 (/ (* y (pow (- y 1) 2)) (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000)))))) (* -1/2 (/ (* y (pow (- y 1) 2)) (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000))))))) (+ (/ (* (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -1/8 (pow y 3))) (pow (- y 1) 2)) (pow (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000)))) 2)) (/ (* (+ (* -1/2 (* y (- y 1))) (* (- y 1) (- (* -1/2 y) 918938533204673/1000000000000000))) (- (+ (* 1/4 (/ (* (pow y 2) (- y 1)) (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000)))))) (* 1/2 (/ (* (pow y 2) (- y 1)) (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000))))))) (/ (* (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -1/8 (pow y 3))) (+ (* -1/2 (* y (- y 1))) (* (- y 1) (- (* -1/2 y) 918938533204673/1000000000000000)))) (pow (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000)))) 2)))) (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000)))))))))) (/ (* (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -1/8 (pow y 3))) (+ (* -1/2 (* y (- y 1))) (* (- y 1) (- (* -1/2 y) 918938533204673/1000000000000000)))) (pow (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000)))) 2)))) (* 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/ 1 (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000))))))))
(+ (* -1/8 (/ (pow y 3) (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000)))))) (+ (* x (- (+ (* 1/4 (/ (* (pow y 2) (- y 1)) (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000)))))) (+ (* 1/2 (/ (* (pow y 2) (- y 1)) (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000)))))) (* x (- (+ (* -1 (/ (* y (pow (- y 1) 2)) (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000)))))) (+ (* -1/2 (/ (* y (pow (- y 1) 2)) (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000)))))) (* x (- (/ (pow (- y 1) 3) (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000))))) (+ (/ (* (+ (* -1/2 (* y (- y 1))) (* (- y 1) (- (* -1/2 y) 918938533204673/1000000000000000))) (- (+ (* -1 (/ (* y (pow (- y 1) 2)) (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000)))))) (* -1/2 (/ (* y (pow (- y 1) 2)) (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000))))))) (+ (/ (* (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -1/8 (pow y 3))) (pow (- y 1) 2)) (pow (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000)))) 2)) (/ (* (+ (* -1/2 (* y (- y 1))) (* (- y 1) (- (* -1/2 y) 918938533204673/1000000000000000))) (- (+ (* 1/4 (/ (* (pow y 2) (- y 1)) (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000)))))) (* 1/2 (/ (* (pow y 2) (- y 1)) (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000))))))) (/ (* (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -1/8 (pow y 3))) (+ (* -1/2 (* y (- y 1))) (* (- y 1) (- (* -1/2 y) 918938533204673/1000000000000000)))) (pow (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000)))) 2)))) (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000)))))))) (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000))))) (/ (* (pow (- y 1) 2) (- (+ (* 1/4 (/ (* (pow y 2) (- y 1)) (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000)))))) (* 1/2 (/ (* (pow y 2) (- y 1)) (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000))))))) (/ (* (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -1/8 (pow y 3))) (+ (* -1/2 (* y (- y 1))) (* (- y 1) (- (* -1/2 y) 918938533204673/1000000000000000)))) (pow (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000)))) 2)))) (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000)))))))))) (+ (/ (* (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -1/8 (pow y 3))) (pow (- y 1) 2)) (pow (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000)))) 2)) (/ (* (+ (* -1/2 (* y (- y 1))) (* (- y 1) (- (* -1/2 y) 918938533204673/1000000000000000))) (- (+ (* 1/4 (/ (* (pow y 2) (- y 1)) (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000)))))) (* 1/2 (/ (* (pow y 2) (- y 1)) (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000))))))) (/ (* (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -1/8 (pow y 3))) (+ (* -1/2 (* y (- y 1))) (* (- y 1) (- (* -1/2 y) 918938533204673/1000000000000000)))) (pow (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000)))) 2)))) (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000)))))))))) (/ (* (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -1/8 (pow y 3))) (+ (* -1/2 (* y (- y 1))) (* (- y 1) (- (* -1/2 y) 918938533204673/1000000000000000)))) (pow (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000)))) 2)))) (* 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/ 1 (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/2 (* y (- (* -1/2 y) 918938533204673/1000000000000000))))))))
(+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -1/8 (pow y 3)))
(+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+ (* -1/8 (pow y 3)) (* x (+ (* 1/4 (* (pow y 2) (- y 1))) (* 1/2 (* (pow y 2) (- y 1)))))))
(+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (+ (* -1/8 (pow y 3)) (* x (+ (* 1/4 (* (pow y 2) (- y 1))) (+ (* 1/2 (* (pow y 2) (- y 1))) (* x (+ (* -1 (* y (pow (- y 1) 2))) (* -1/2 (* y (pow (- y 1) 2))))))))))
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(+ (* -1 (pow x 3)) (* y (+ (* 2 (* (pow x 2) (- x 1/2))) (+ (* y (+ (* -2 (* x (pow (- x 1/2) 2))) (* -1 (* x (pow (- x 1/2) 2))))) (* (pow x 2) (- x 1/2))))))
(+ (* -1 (pow x 3)) (* y (+ (* 2 (* (pow x 2) (- x 1/2))) (+ (* y (+ (* -2 (* x (pow (- x 1/2) 2))) (+ (* -1 (* x (pow (- x 1/2) 2))) (* y (pow (- x 1/2) 3))))) (* (pow x 2) (- x 1/2))))))
(+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1 (* x (- (* -1 x) 918938533204673/1000000000000000))))
(+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* -1 (* x (- (* -1 x) 918938533204673/1000000000000000))) (* y (+ (* -1 (* x (- x 1/2))) (* (- x 1/2) (- (* -1 x) 918938533204673/1000000000000000))))))
(+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* -1 (* x (- (* -1 x) 918938533204673/1000000000000000))) (* y (+ (* -1 (* x (- x 1/2))) (+ (* y (pow (- x 1/2) 2)) (* (- x 1/2) (- (* -1 x) 918938533204673/1000000000000000)))))))
(+ (* -1 x) (* x 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))) (+ 1/2 (* 918938533204673/1000000000000000 (/ 1 y)))))
(* y (- (+ x (+ (* -2 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) (+ 1/2 (* -1 (/ x y)))))
(* y (- (+ x (+ (* -2 (/ x y)) (+ (* 2 (/ (pow x 2) (* (pow y 2) (- x 1/2)))) (+ (* 918938533204673/1000000000000000 (/ 1 y)) (/ (pow x 2) (* (pow y 2) (- x 1/2))))))) (+ 1/2 (+ (* -1 (/ x y)) (+ (* -1 (/ (* x (- (* -1 x) 918938533204673/1000000000000000)) (* (pow y 2) (- x 1/2)))) (+ (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (* (pow y 2) (- x 1/2)))) (/ (* (+ (* -1 (* x (- x 1/2))) (* (- x 1/2) (- (* -1 x) 918938533204673/1000000000000000))) (- (+ 918938533204673/1000000000000000 (* -2 x)) (* -1 x))) (* (pow y 2) (pow (- x 1/2) 2)))))))))
(* y (- (+ x (+ (* -2 (/ x y)) (+ (* -1 (/ (pow x 3) (* (pow y 3) (pow (- x 1/2) 2)))) (+ (* 2 (/ (pow x 2) (* (pow y 2) (- x 1/2)))) (+ (/ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* (pow y 3) (pow (- x 1/2) 2))) (+ (* 918938533204673/1000000000000000 (/ 1 y)) (/ (pow x 2) (* (pow y 2) (- x 1/2))))))))) (+ 1/2 (+ (* -1 (/ x y)) (+ (* -1 (/ (* x (- (* -1 x) 918938533204673/1000000000000000)) (* (pow y 2) (- x 1/2)))) (+ (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (* (pow y 2) (- x 1/2)))) (+ (/ (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1 (* x (- (* -1 x) 918938533204673/1000000000000000)))) (- (+ 918938533204673/1000000000000000 (* -2 x)) (* -1 x))) (* (pow y 3) (pow (- x 1/2) 2))) (+ (/ (* (+ (* -1 (* x (- x 1/2))) (* (- x 1/2) (- (* -1 x) 918938533204673/1000000000000000))) (- (+ 918938533204673/1000000000000000 (* -2 x)) (* -1 x))) (* (pow y 2) (pow (- x 1/2) 2))) (/ (* (+ (* -1 (* x (- x 1/2))) (* (- x 1/2) (- (* -1 x) 918938533204673/1000000000000000))) (- (+ (* 2 (/ (pow x 2) (- x 1/2))) (/ (pow x 2) (- x 1/2))) (+ (* -1 (/ (* x (- (* -1 x) 918938533204673/1000000000000000)) (- x 1/2))) (+ (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (- x 1/2))) (/ (* (+ (* -1 (* x (- x 1/2))) (* (- x 1/2) (- (* -1 x) 918938533204673/1000000000000000))) (- (+ 918938533204673/1000000000000000 (* -2 x)) (* -1 x))) (pow (- x 1/2) 2)))))) (* (pow y 3) (pow (- x 1/2) 2)))))))))))
(* (pow y 3) (pow (- x 1/2) 3))
(* (pow y 3) (+ (* -2 (/ (* x (pow (- x 1/2) 2)) y)) (+ (* -1 (/ (* x (pow (- x 1/2) 2)) y)) (pow (- x 1/2) 3))))
(* (pow y 3) (+ (* -2 (/ (* x (pow (- x 1/2) 2)) y)) (+ (* -1 (/ (* x (pow (- x 1/2) 2)) y)) (+ (* 2 (/ (* (pow x 2) (- x 1/2)) (pow y 2))) (+ (/ (* (pow x 2) (- x 1/2)) (pow y 2)) (pow (- x 1/2) 3))))))
(* (pow y 3) (+ (* -2 (/ (* x (pow (- x 1/2) 2)) y)) (+ (* -1 (/ (* x (pow (- x 1/2) 2)) y)) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (* 2 (/ (* (pow x 2) (- x 1/2)) (pow y 2))) (+ (* 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/ 1 (pow y 3))) (+ (/ (* (pow x 2) (- x 1/2)) (pow y 2)) (pow (- x 1/2) 3))))))))
(* (pow y 3) (+ (* -2 (/ (* x (pow (- x 1/2) 2)) y)) (+ (* -1 (/ (* x (pow (- x 1/2) 2)) y)) (+ (* -1 (/ (pow x 3) (pow y 3))) (+ (* 2 (/ (* (pow x 2) (- x 1/2)) (pow y 2))) (+ (/ (* (pow x 2) (- x 1/2)) (pow y 2)) (pow (- x 1/2) 3)))))))
(* (pow y 2) (pow (- x 1/2) 2))
(* (pow y 2) (+ (* -1 (/ (* x (- x 1/2)) y)) (+ (/ (* (- x 1/2) (- (* -1 x) 918938533204673/1000000000000000)) y) (pow (- x 1/2) 2))))
(* (pow y 2) (+ (* -1 (/ (* x (- x 1/2)) y)) (+ (* -1 (/ (* x (- (* -1 x) 918938533204673/1000000000000000)) (pow y 2))) (+ (/ 844448027808355901771309036929/1000000000000000000000000000000 (pow y 2)) (+ (/ (* (- x 1/2) (- (* -1 x) 918938533204673/1000000000000000)) y) (pow (- x 1/2) 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 (+ 1/2 (+ (* -1 x) (* -1 (/ (- (* -1 x) 918938533204673/1000000000000000) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (- (+ 918938533204673/1000000000000000 (* -2 x)) (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (- (+ 918938533204673/1000000000000000 (+ (* -2 x) (* -1 (/ (- (+ (* 2 (/ (pow x 2) (+ 1/2 (* -1 x)))) (/ (pow x 2) (+ 1/2 (* -1 x)))) (+ (* -1 (/ (* x (- (* -1 x) 918938533204673/1000000000000000)) (+ 1/2 (* -1 x)))) (+ (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (+ 1/2 (* -1 x)))) (/ (* (+ (* -1 (* x (+ 1/2 (* -1 x)))) (* (+ 1/2 (* -1 x)) (- (* -1 x) 918938533204673/1000000000000000))) (- (+ 918938533204673/1000000000000000 (* -2 x)) (* -1 x))) (pow (+ 1/2 (* -1 x)) 2))))) y)))) (* -1 x)) y))))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (- (+ 918938533204673/1000000000000000 (+ (* -2 x) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (pow x 3) (pow (+ 1/2 (* -1 x)) 2))) (* 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (/ 1 (pow (+ 1/2 (* -1 x)) 2)))) (+ (/ (* (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1 (* x (- (* -1 x) 918938533204673/1000000000000000)))) (- (+ 918938533204673/1000000000000000 (* -2 x)) (* -1 x))) (pow (+ 1/2 (* -1 x)) 2)) (/ (* (+ (* -1 (* x (+ 1/2 (* -1 x)))) (* (+ 1/2 (* -1 x)) (- (* -1 x) 918938533204673/1000000000000000))) (- (+ (* 2 (/ (pow x 2) (+ 1/2 (* -1 x)))) (/ (pow x 2) (+ 1/2 (* -1 x)))) (+ (* -1 (/ (* x (- (* -1 x) 918938533204673/1000000000000000)) (+ 1/2 (* -1 x)))) (+ (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (+ 1/2 (* -1 x)))) (/ (* (+ (* -1 (* x (+ 1/2 (* -1 x)))) (* (+ 1/2 (* -1 x)) (- (* -1 x) 918938533204673/1000000000000000))) (- (+ 918938533204673/1000000000000000 (* -2 x)) (* -1 x))) (pow (+ 1/2 (* -1 x)) 2)))))) (pow (+ 1/2 (* -1 x)) 2)))) y)) (+ (* 2 (/ (pow x 2) (+ 1/2 (* -1 x)))) (/ (pow x 2) (+ 1/2 (* -1 x))))) (+ (* -1 (/ (* x (- (* -1 x) 918938533204673/1000000000000000)) (+ 1/2 (* -1 x)))) (+ (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (+ 1/2 (* -1 x)))) (/ (* (+ (* -1 (* x (+ 1/2 (* -1 x)))) (* (+ 1/2 (* -1 x)) (- (* -1 x) 918938533204673/1000000000000000))) (- (+ 918938533204673/1000000000000000 (* -2 x)) (* -1 x))) (pow (+ 1/2 (* -1 x)) 2))))) y)))) (* -1 x)) y))))))
(* -1 (* (pow y 3) (pow (+ 1/2 (* -1 x)) 3)))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -2 (* x (pow (+ 1/2 (* -1 x)) 2))) (* -1 (* x (pow (+ 1/2 (* -1 x)) 2)))) y)) (pow (+ 1/2 (* -1 x)) 3))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -2 (* x (pow (+ 1/2 (* -1 x)) 2))) (+ (* -1 (* x (pow (+ 1/2 (* -1 x)) 2))) (* -1 (/ (+ (* 2 (* (pow x 2) (+ 1/2 (* -1 x)))) (* (pow x 2) (+ 1/2 (* -1 x)))) y)))) y)) (pow (+ 1/2 (* -1 x)) 3))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -2 (* x (pow (+ 1/2 (* -1 x)) 2))) (+ (* -1 (* x (pow (+ 1/2 (* -1 x)) 2))) (* -1 (/ (+ (* -1 (/ (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (* -1 (pow x 3))) y)) (+ (* 2 (* (pow x 2) (+ 1/2 (* -1 x)))) (* (pow x 2) (+ 1/2 (* -1 x))))) y)))) y)) (pow (+ 1/2 (* -1 x)) 3))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -2 (* x (pow (+ 1/2 (* -1 x)) 2))) (+ (* -1 (* x (pow (+ 1/2 (* -1 x)) 2))) (* -1 (/ (+ (* 2 (* (pow x 2) (+ 1/2 (* -1 x)))) (+ (* (pow x 2) (+ 1/2 (* -1 x))) (/ (pow x 3) y))) y)))) y)) (pow (+ 1/2 (* -1 x)) 3))))
(* (pow y 2) (pow (+ 1/2 (* -1 x)) 2))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x (+ 1/2 (* -1 x)))) (* (+ 1/2 (* -1 x)) (- (* -1 x) 918938533204673/1000000000000000))) y)) (pow (+ 1/2 (* -1 x)) 2)))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (* x (+ 1/2 (* -1 x)))) (+ (* -1 (/ (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1 (* x (- (* -1 x) 918938533204673/1000000000000000)))) y)) (* (+ 1/2 (* -1 x)) (- (* -1 x) 918938533204673/1000000000000000)))) y)) (pow (+ 1/2 (* -1 x)) 2)))
(* -1 (* y (+ (* -1 x) (/ x y))))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	y	@	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 (- y 1)) (* y 1/2)) (* (- x 1/2) y) (+ (* -1/2 y) (* (- y 1) x)) (+ (* -1/2 y) (+ (* (- y 1) x) -918938533204673/1000000000000000)) (/ (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow (+ (* -1/2 y) (* (- y 1) x)) 3)) (+ (* (+ (* -1/2 y) (* (- y 1) x)) (+ (* -1/2 y) (+ (* (- y 1) x) -918938533204673/1000000000000000))) 844448027808355901771309036929/1000000000000000000000000000000)) (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow (+ (* -1/2 y) (* (- y 1) x)) 3)) (pow (+ (* -1/2 y) (* (- y 1) x)) 3) (+ (* (+ (* -1/2 y) (* (- y 1) x)) (+ (* -1/2 y) (+ (* (- y 1) x) -918938533204673/1000000000000000))) 844448027808355901771309036929/1000000000000000000000000000000) (* (- y 1) x))
5.0ms	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 (- y 1)) (* y 1/2)) (* (- x 1/2) y) (+ (* -1/2 y) (* (- y 1) x)) (+ (* -1/2 y) (+ (* (- y 1) x) -918938533204673/1000000000000000)) (/ (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow (+ (* -1/2 y) (* (- y 1) x)) 3)) (+ (* (+ (* -1/2 y) (* (- y 1) x)) (+ (* -1/2 y) (+ (* (- y 1) x) -918938533204673/1000000000000000))) 844448027808355901771309036929/1000000000000000000000000000000)) (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow (+ (* -1/2 y) (* (- y 1) x)) 3)) (pow (+ (* -1/2 y) (* (- y 1) x)) 3) (+ (* (+ (* -1/2 y) (* (- y 1) x)) (+ (* -1/2 y) (+ (* (- y 1) x) -918938533204673/1000000000000000))) 844448027808355901771309036929/1000000000000000000000000000000) (* (- y 1) x))
5.0ms	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 (- y 1)) (* y 1/2)) (* (- x 1/2) y) (+ (* -1/2 y) (* (- y 1) x)) (+ (* -1/2 y) (+ (* (- y 1) x) -918938533204673/1000000000000000)) (/ (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow (+ (* -1/2 y) (* (- y 1) x)) 3)) (+ (* (+ (* -1/2 y) (* (- y 1) x)) (+ (* -1/2 y) (+ (* (- y 1) x) -918938533204673/1000000000000000))) 844448027808355901771309036929/1000000000000000000000000000000)) (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow (+ (* -1/2 y) (* (- y 1) x)) 3)) (pow (+ (* -1/2 y) (* (- y 1) x)) 3) (+ (* (+ (* -1/2 y) (* (- y 1) x)) (+ (* -1/2 y) (+ (* (- y 1) x) -918938533204673/1000000000000000))) 844448027808355901771309036929/1000000000000000000000000000000) (* (- y 1) x))
5.0ms	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 (- y 1)) (* y 1/2)) (* (- x 1/2) y) (+ (* -1/2 y) (* (- y 1) x)) (+ (* -1/2 y) (+ (* (- y 1) x) -918938533204673/1000000000000000)) (/ (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow (+ (* -1/2 y) (* (- y 1) x)) 3)) (+ (* (+ (* -1/2 y) (* (- y 1) x)) (+ (* -1/2 y) (+ (* (- y 1) x) -918938533204673/1000000000000000))) 844448027808355901771309036929/1000000000000000000000000000000)) (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow (+ (* -1/2 y) (* (- y 1) x)) 3)) (pow (+ (* -1/2 y) (* (- y 1) x)) 3) (+ (* (+ (* -1/2 y) (* (- y 1) x)) (+ (* -1/2 y) (+ (* (- y 1) x) -918938533204673/1000000000000000))) 844448027808355901771309036929/1000000000000000000000000000000) (* (- y 1) x))
4.0ms	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 (- y 1)) (* y 1/2)) (* (- x 1/2) y) (+ (* -1/2 y) (* (- y 1) x)) (+ (* -1/2 y) (+ (* (- y 1) x) -918938533204673/1000000000000000)) (/ (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow (+ (* -1/2 y) (* (- y 1) x)) 3)) (+ (* (+ (* -1/2 y) (* (- y 1) x)) (+ (* -1/2 y) (+ (* (- y 1) x) -918938533204673/1000000000000000))) 844448027808355901771309036929/1000000000000000000000000000000)) (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow (+ (* -1/2 y) (* (- y 1) x)) 3)) (pow (+ (* -1/2 y) (* (- y 1) x)) 3) (+ (* (+ (* -1/2 y) (* (- y 1) x)) (+ (* -1/2 y) (+ (* (- y 1) x) -918938533204673/1000000000000000))) 844448027808355901771309036929/1000000000000000000000000000000) (* (- y 1) x))

simplify273.0ms (3.9%)

Memory

9.9MiB live, 202.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	787	5404
1	2652	4588
0	8397	4239

Stop Event

1×	iter limit
1×	node limit

Counts

126 → 125

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

rewrite399.0ms (5.8%)

Memory

-3.7MiB live, 284.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	201
0	51	201
1	264	196
2	2245	196
0	9998	193

Stop Event

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

Counts

17 → 547

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))
(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64))
#s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
(fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(fma.f64 #s(literal -1/2 binary64) y (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal -918938533204673/1000000000000000 binary64)))
(/.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal -918938533204673/1000000000000000 binary64))) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))
(+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 3 binary64)))
(pow.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 3 binary64))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal -918938533204673/1000000000000000 binary64))) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))
(*.f64 (-.f64 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 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(.f64 (-.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) y) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) #s(literal 3 binary64))) (pow.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))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (-.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)))) #s(literal -1 binary64))
(pow.f64 (/.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 (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)))) #s(literal -1 binary64))
(/.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 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(literal 918938533204673/1000000000000000 binary64)) (neg.f64 x)))))
(/.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (fma.f64 #s(literal -1 binary64) x (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 3 binary64))) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (-.f64 (.f64 (fma.f64 #s(literal -1 binary64) x (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) (fma.f64 #s(literal -1 binary64) x (.f64 (-.f64 x #s(literal 1/2 binary64)) y))) (.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(literal -1 binary64) x (.f64 (-.f64 x #s(literal 1/2 binary64)) y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (+.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(literal 918938533204673/1000000000000000 binary64)) x)))
(/.f64 (neg.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)))) (neg.f64 (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(literal 918938533204673/1000000000000000 binary64)) x)))))
(/.f64 (neg.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 (neg.f64 (-.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))))
(/.f64 (neg.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 (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 (.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 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (-.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(/.f64 (fma.f64 (.f64 (fma.f64 x x #s(literal -1/4 binary64)) y) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x)) (.f64 (+.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x x)))) (.f64 (+.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x))))
(/.f64 (fma.f64 (.f64 (fma.f64 x x #s(literal -1/4 binary64)) y) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x)))) (.f64 (+.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (-.f64 (.f64 x x) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x))))))
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eval233.0ms (3.4%)

Memory: 4.1MiB live, 195.2MiB allocated
Compiler: Compiled 38 755 to 3 323 computations (91.4% saved)

prune28.0ms (0.4%)

Memory

8.2MiB live, 47.5MiB allocated

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	802	7	809
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	805	9	814

Accuracy

100.0%

Counts

814 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.7%	(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) #s(approx (* (- x 1/2) y) (*.f64 y x))) #s(literal 918938533204673/1000000000000000 binary64))
	72.9%	#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))))
▶	74.4%	#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) #s(literal 918938533204673/1000000000000000 binary64))))
✓	51.6%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
✓	53.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
	52.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (*.f64 (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64)) x)))
▶	26.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
▶	28.1%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
▶	50.1%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 x))))

Compiler

Compiled 335 to 257 computations (23.3% saved)

simplify54.0ms (0.8%)

Memory

-15.3MiB live, 31.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) y)
cost-diff	0	#s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 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 #s(literal 1 binary64) y) (neg.f64 x))))
cost-diff	128	(*.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 x))
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)) #s(approx (* (- x 1/2) y) (*.f64 y x)))
cost-diff	0	(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) #s(approx (* (- x 1/2) y) (*.f64 y x))) #s(literal 918938533204673/1000000000000000 binary64))
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) #s(literal 918938533204673/1000000000000000 binary64))
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) #s(literal 918938533204673/1000000000000000 binary64)))
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) #s(literal 918938533204673/1000000000000000 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	207
0	38	207
1	70	207
2	122	197
3	254	192
4	592	192
5	1078	192
6	1474	192
7	1669	192
8	1876	192
9	1905	192
0	1905	186

Stop Event

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

localize88.0ms (1.3%)

Memory

-0.8MiB live, 76.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 x)
accuracy	0.0	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 x))))
accuracy	0.01171875	(*.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 x))
accuracy	31.914755820404803	#s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 x)))
accuracy	0.0	(*.f64 y x)
accuracy	0.00390625	(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) #s(approx (* (- x 1/2) y) (*.f64 y x))) #s(literal 918938533204673/1000000000000000 binary64))
accuracy	23.34817189193742	#s(approx (- (* x (- y 1)) (* y 1/2)) #s(approx (* (- x 1/2) y) (*.f64 y x)))
accuracy	31.607264194916038	#s(approx (* (- x 1/2) y) (*.f64 y x))
accuracy	0.0	(neg.f64 x)
accuracy	30.06331591010709	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
accuracy	31.83813758332789	#s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))
accuracy	30.06331591010709	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
accuracy	31.038710769400236	#s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))
accuracy	0.0	(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
accuracy	0.0	(-.f64 x #s(literal 1/2 binary64))
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) #s(literal 918938533204673/1000000000000000 binary64))))
accuracy	31.038710769400236	#s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))

Samples

63.0ms

256×

valid

Compiler

Compiled 336 to 53 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-sub: 8.0ms (32.4% of total)

ival-mult: 8.0ms (32.4% of total)

const: 5.0ms (20.2% of total)

ival-add: 2.0ms (8.1% of total)

ival-neg: 1.0ms (4% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

20.7MiB live, 20.7MiB allocated

Counts

16 → 49

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

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)
(- (* x (- y 1)) (* 1/2 y))
(+ (* -1/2 y) (* x y))
(* x y)
(* -1 (* x (- 1 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 (* -1/2 (/ y x))) 1))
(* 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)) (* 1/2 (/ y 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)
(+ (* -1 x) (* y (- x 1/2)))
(* y (- x 1/2))
(+ (* -1 x) (* x y))
1
(+ 1 (* -1 y))
(* 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))) 1/2))
(* y (+ x (* -1 (/ x y))))
(* -1 y)
(* y (- (/ 1 y) 1))
(* -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 (+ (* -1 x) (/ x y)))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (- 1 (/ 1 y))))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	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) (- 918938533204673/1000000000000000 x) (neg x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- (* x (- y 1)) (* y 1/2)) (* (- x 1/2) y) (* y x) (* (- 1 y) (neg x)) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (- 1 y))
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) (- 918938533204673/1000000000000000 x) (neg x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- (* x (- y 1)) (* y 1/2)) (* (- x 1/2) y) (* y x) (* (- 1 y) (neg x)) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (- 1 y))
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) (- 918938533204673/1000000000000000 x) (neg x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- (* x (- y 1)) (* y 1/2)) (* (- x 1/2) y) (* y x) (* (- 1 y) (neg x)) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (- 1 y))
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) (- 918938533204673/1000000000000000 x) (neg x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- (* x (- y 1)) (* y 1/2)) (* (- x 1/2) y) (* y x) (* (- 1 y) (neg x)) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (- 1 y))
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) (- 918938533204673/1000000000000000 x) (neg x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- (* x (- y 1)) (* y 1/2)) (* (- x 1/2) y) (* y x) (* (- 1 y) (neg x)) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (- 1 y))

simplify151.0ms (2.2%)

Memory

-23.8MiB live, 96.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	295
1	407	295
2	1258	259
3	3553	259
4	7246	259
0	8039	245

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 48

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

rewrite185.0ms (2.7%)

Memory

21.7MiB live, 95.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	188
0	38	188
1	171	188
2	1310	188
0	8402	176

Stop Event

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

Counts

16 → 218

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

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) #s(literal 918938533204673/1000000000000000 binary64))))
(.f64 (-.f64 (pow.f64 #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) (*.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) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) y) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))))))
(.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) (.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) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) y) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 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) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))))))
(.f64 (+.f64 (pow.f64 #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) (pow.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (.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) #s(literal 918938533204673/1000000000000000 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) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))))) (.f64 (/.f64 (pow.f64 #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))) (/.f64 (pow.f64 #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))))) (+.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) #s(literal 918938533204673/1000000000000000 binary64)))) (/.f64 (pow.f64 #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) y) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))))))
(/.f64 (-.f64 (pow.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) #s(literal 918938533204673/1000000000000000 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))) #s(literal 3 binary64))) (fma.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) #s(literal 918938533204673/1000000000000000 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) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))) (fma.f64 (/.f64 (pow.f64 #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))) (/.f64 (pow.f64 #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))) (.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) #s(literal 918938533204673/1000000000000000 binary64)))) (/.f64 (pow.f64 #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) y) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) (.f64 (-.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 (neg.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) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) (.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 (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) #s(literal 918938533204673/1000000000000000 binary64)))) (.f64 (-.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) (pow.f64 #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) (-.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)) #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) #s(literal 918938533204673/1000000000000000 binary64)) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)))
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(/.f64 (neg.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (.f64 y y)))) (neg.f64 (-.f64 y #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (neg.f64 x)) (-.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 x)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))
(/.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))
(/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal -1 binary64)) (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(fma.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal 1 binary64) x) (.f64 (neg.f64 y) (neg.f64 x)))
(fma.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal 1 binary64) x) (.f64 (neg.f64 x) (neg.f64 y)))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (neg.f64 y) (neg.f64 x)))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (neg.f64 x) (neg.f64 y)))
(fma.f64 #s(literal -1 binary64) x (*.f64 (neg.f64 y) (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) x (*.f64 (neg.f64 x) (neg.f64 y)))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 (neg.f64 y) (neg.f64 x)))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 (neg.f64 y) (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 (neg.f64 x) (neg.f64 y)))
(fma.f64 x #s(literal -1 binary64) (*.f64 (neg.f64 y) (neg.f64 x)))
(fma.f64 x #s(literal -1 binary64) (*.f64 (neg.f64 x) (neg.f64 y)))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(+.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 x)))
(+.f64 (neg.f64 x) (*.f64 (neg.f64 y) (neg.f64 x)))
(+.f64 (neg.f64 x) (*.f64 (neg.f64 x) (neg.f64 y)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 x))))
#s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (*.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 x)))
(.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 y #s(literal -1 binary64)))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 (.f64 y y) (-.f64 y #s(literal -1 binary64))) (/.f64 (.f64 y y) (-.f64 y #s(literal -1 binary64))))) (+.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))) (+.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y y) (-.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (.f64 y y) (-.f64 y #s(literal -1 binary64))) (/.f64 (.f64 y y) (-.f64 y #s(literal -1 binary64))) (.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (neg.f64 (neg.f64 (-.f64 y #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))) (.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 y y))) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) (.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (-.f64 y #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 y #s(literal -1 binary64)))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64))))
(-.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) y)
(+.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64)))))
(+.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))))
(+.f64 (neg.f64 y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 y))

eval83.0ms (1.2%)

Memory: -4.8MiB live, 41.2MiB allocated
Compiler: Compiled 10 296 to 1 009 computations (90.2% saved)

prune32.0ms (0.5%)

Memory

-23.4MiB live, 13.7MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	258	2	260
Fresh	0	2	2
Picked	3	2	5
Done	0	2	2
Total	261	8	269

Accuracy

100.0%

Counts

269 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.9%	#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))))
✓	51.6%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
✓	53.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
▶	50.1%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
▶	48.1%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
▶	52.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (*.f64 (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64)) x)))
✓	26.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
✓	28.1%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))

Compiler

Compiled 146 to 118 computations (19.2% saved)

simplify88.0ms (1.3%)

Memory

18.2MiB live, 55.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
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))))
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 (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
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	(-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64))
cost-diff	0	#s(approx (- 918938533204673/1000000000000000 x) (*.f64 (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64)) x))
cost-diff	0	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (*.f64 (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64)) x)))
cost-diff	1024	(*.f64 (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64)) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	156
0	35	156
1	60	156
2	100	152
3	182	148
4	323	136
5	619	136
6	1192	136
7	1847	136
8	2451	136
9	2753	136
10	2778	136
11	2780	136
12	2780	136
0	2780	132

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize111.0ms (1.6%)

Memory

4.5MiB live, 86.5MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x #s(literal 1/2 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	31.83813758332789	#s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))
accuracy	0.0	(-.f64 y #s(literal 1 binary64))
accuracy	0.01171875	(*.f64 (-.f64 y #s(literal 1 binary64)) x)
accuracy	31.914755820404803	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
accuracy	0.0	(-.f64 x #s(literal 1/2 binary64))
accuracy	0.0078125	(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
accuracy	33.206989967886784	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
accuracy	0.0	#s(approx (- 918938533204673/1000000000000000 x) (*.f64 (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64)) x))
accuracy	0.02734375	(/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
accuracy	0.125	(*.f64 (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64)) x)
accuracy	30.06331591010709	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (*.f64 (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64)) x)))

Samples

98.0ms

256×

valid

Compiler

Compiled 265 to 50 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-sub: 26.0ms (56.9% of total)

ival-mult: 10.0ms (21.9% of total)

const: 4.0ms (8.8% of total)

ival-div: 2.0ms (4.4% of total)

ival-add: 2.0ms (4.4% of total)

ival-neg: 1.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory

-17.5MiB live, 21.2MiB allocated

Counts

15 → 45

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	x	@	-inf	((* (- (/ 918938533204673/1000000000000000 x) 1) x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (- (/ 918938533204673/1000000000000000 x) 1) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (- y 1) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (- 918938533204673/1000000000000000 x) (/ 918938533204673/1000000000000000 x) (neg x))
1.0ms	x	@	0	((* (- (/ 918938533204673/1000000000000000 x) 1) x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (- (/ 918938533204673/1000000000000000 x) 1) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (- y 1) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (- 918938533204673/1000000000000000 x) (/ 918938533204673/1000000000000000 x) (neg x))
1.0ms	x	@	inf	((* (- (/ 918938533204673/1000000000000000 x) 1) x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (- (/ 918938533204673/1000000000000000 x) 1) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (- y 1) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (- 918938533204673/1000000000000000 x) (/ 918938533204673/1000000000000000 x) (neg x))
1.0ms	y	@	-inf	((* (- (/ 918938533204673/1000000000000000 x) 1) x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (- (/ 918938533204673/1000000000000000 x) 1) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (- y 1) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (- 918938533204673/1000000000000000 x) (/ 918938533204673/1000000000000000 x) (neg x))
1.0ms	y	@	inf	((* (- (/ 918938533204673/1000000000000000 x) 1) x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (- (/ 918938533204673/1000000000000000 x) 1) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (- x 1/2) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (- y 1) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (- 918938533204673/1000000000000000 x) (/ 918938533204673/1000000000000000 x) (neg x))

simplify215.0ms (3.1%)

Memory

-2.9MiB live, 153.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	248
1	365	248
2	1126	224
3	3313	224
4	6468	224
0	8076	210

Stop Event

1×	iter limit
1×	node limit

Counts

45 → 43

Calls

Call 1

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

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

rewrite245.0ms (3.5%)

Memory

23.8MiB live, 220.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	141
0	35	141
1	150	141
2	1105	141
0	8328	133

Stop Event

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

Counts

15 → 330

Calls

Call 1

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

Outputs
(*.f64 (/.f64 x (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal -1 binary64))) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) #s(literal -1 binary64)) x) (pow.f64 (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) #s(literal -1 binary64)) x) (pow.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) #s(literal -1 binary64))) (pow.f64 (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64)) x)
(*.f64 x (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) x) (.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) x)) (.f64 x x)) (-.f64 (*.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) x) (neg.f64 x)))
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))) #s(literal -1 binary64))
(/.f64 (-.f64 (.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 (.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 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 (/.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 (-.f64 (pow.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)))) #s(literal 3 binary64)) (pow.f64 (/.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)))) #s(literal 3 binary64))) (fma.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 (.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)))) (fma.f64 (/.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 (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 (.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 (neg.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)))) (neg.f64 (-.f64 #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)) (.f64 (-.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 (neg.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 (neg.f64 (-.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))))))
(/.f64 (neg.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 (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 (.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 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) (pow.f64 #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) (-.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 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)) #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 #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)) (.f64 (-.f64 x #s(literal 1/2 binary64)) y))))))
(/.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 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (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 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 #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)))))
(/.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))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) (-.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(literal 1 binary64) (/.f64 (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 #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)))) (+.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)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))))
(fma.f64 (*.f64 (fma.f64 x x #s(literal -1/4 binary64)) y) (pow.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
(fma.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) y) (pow.f64 (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64))) #s(literal -1 binary64)) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
(fma.f64 (*.f64 y (fma.f64 x x #s(literal -1/4 binary64))) (pow.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
(fma.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (pow.f64 (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/4 binary64))) #s(literal -1 binary64)) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
(fma.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) y) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) #s(literal -1 binary64)) (neg.f64 (/.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))))))
(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 #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)) #s(literal 2 binary64)) (-.f64 #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)) (.f64 (-.f64 x #s(literal 1/2 binary64)) y))) (/.f64 (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 (/.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 (/.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)))) (neg.f64 (/.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 (-.f64 x #s(literal 1/2 binary64)) y))
(+.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) y) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
#s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))
(.f64 (pow.f64 (.f64 x #s(literal 1000000000000000/918938533204673 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 1000000000000000/918938533204673 binary64)) #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x #s(literal 1000000000000000/918938533204673 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -918938533204673/1000000000000000 binary64) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 #s(literal -918938533204673/1000000000000000 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(*.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 918938533204673/1000000000000000 binary64) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (*.f64 x #s(literal 1000000000000000/918938533204673 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal 1000000000000000/918938533204673 binary64))))
(/.f64 #s(literal -918938533204673/1000000000000000 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal 1000000000000000/918938533204673 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1000000000000000/918938533204673 binary64)))
(/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(neg.f64 (/.f64 #s(literal -918938533204673/1000000000000000 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -918938533204673/1000000000000000 binary64) x))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 1000000000000000/918938533204673 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 x (neg.f64 x)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 x (neg.f64 x))) (neg.f64 x))
(/.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 x (neg.f64 x)) x)
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(neg.f64 x)
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))

eval112.0ms (1.6%)

Memory: -12.2MiB live, 116.2MiB allocated
Compiler: Compiled 12 666 to 1 502 computations (88.1% saved)

prune12.0ms (0.2%)

Memory

-9.9MiB live, 29.5MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	387	3	390
Fresh	0	0	0
Picked	2	2	4
Done	0	4	4
Total	389	9	398

Accuracy

100.0%

Counts

398 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.1%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x)))
✓	51.6%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
✓	53.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
✓	48.1%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
	25.3%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
✓	52.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (*.f64 (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64)) x)))
✓	26.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
✓	28.1%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
	25.3%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 y x)))

Compiler

Compiled 517 to 205 computations (60.3% saved)

regimes38.0ms (0.5%)

Memory

-0.7MiB live, 38.4MiB allocated

Counts

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

20.0ms	x
6.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
6.0ms	y
5.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Results

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

Compiler

Compiled 22 to 22 computations (0% saved)

regimes20.0ms (0.3%)

Memory

32.3MiB live, 32.3MiB allocated

Counts

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

Outputs

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

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

Calls

4 calls:

5.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
5.0ms	x
5.0ms	y
5.0ms	(+.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
98.9%	3	`x`
99.0%	3	`y`
98.7%	3	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
98.7%	3	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes26.0ms (0.4%)

Memory

-28.3MiB live, 14.6MiB allocated

Counts

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

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

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

Calls

2 calls:

22.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
98.7%	3	`x`
98.8%	3	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes17.0ms (0.2%)

Memory

-12.6MiB live, 26.8MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.2%	3	`x`
82.1%	5	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
82.1%	5	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
97.7%	3	`y`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes4.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

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

Outputs

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.1%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

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

Outputs

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

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

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

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
97.7%	3	`y`
78.4%	4	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes8.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

6 → 6

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

Calls

3 calls:

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
68.9%	5	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
68.9%	5	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
83.5%	6	`y`

Compiler

Compiled 21 to 20 computations (4.8% saved)

regimes3.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

5 → 7

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)))
#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(approx (- x 1/2) #s(literal -1/2 binary64)) y))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
84.9%	7	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes11.0ms (0.2%)

Memory

-31.2MiB live, 8.2MiB allocated

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

2 calls:

9.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
55.3%	2	`x`
75.1%	3	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes8.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

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

Results

Accuracy	Segments	Branch
53.0%	1	`x`
53.0%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
53.0%	1	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
53.0%	1	`y`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes6.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs

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

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
51.8%	3	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
51.8%	3	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
51.9%	3	`x`
36.0%	3	`y`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes31.0ms (0.5%)

Memory

-28.2MiB live, 11.4MiB allocated

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:

27.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
1.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
28.1%	1	`y`
28.1%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
28.1%	1	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
28.1%	1	`x`

Compiler

Compiled 22 to 22 computations (0% saved)

bsearch38.0ms (0.6%)

Memory

3.8MiB live, 44.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	5.848345787484635e-24	4.331817223911907e-18
13.0ms	-17.165118894079235	-0.040716817957853174

Samples

24.0ms

272×

valid

Compiler

Compiled 651 to 559 computations (14.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-sub: 9.0ms (49.1% of total)

const: 4.0ms (21.8% of total)

ival-mult: 3.0ms (16.4% of total)

ival-add: 1.0ms (5.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch15.0ms (0.2%)

Memory

20.0MiB live, 20.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.848345787484635e-24	4.331817223911907e-18
12.0ms	-2.2258594110048344e-15	-1.8406564430864845e-17

Samples

7.0ms

112×

valid

Compiler

Compiled 606 to 527 computations (13% saved)

Precisions

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

const: 2.0ms (40% of total)

ival-sub: 1.0ms (20% of total)

ival-mult: 1.0ms (20% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch53.0ms (0.8%)

Memory

-27.9MiB live, 50.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	6.114817457037189e-9	245868.84121125285
25.0ms	-1.7823485855138799	-3.384794716098537e-9

Samples

30.0ms

304×

valid

Compiler

Compiled 641 to 575 computations (10.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-sub: 13.0ms (55.3% of total)

const: 5.0ms (21.3% of total)

ival-mult: 4.0ms (17% of total)

ival-add: 1.0ms (4.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch3.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.114817457037189e-9	245868.84121125285
1.0ms	-1.7823485855138799	-3.384794716098537e-9

Compiler

Compiled 641 to 585 computations (8.7% saved)

bsearch54.0ms (0.8%)

Memory

9.1MiB live, 48.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
39.0ms	0.0015059668295491328	14012508113.596964
12.0ms	-17.165118894079235	-0.040716817957853174

Samples

18.0ms

272×

valid

Compiler

Compiled 590 to 537 computations (9% saved)

Precisions

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

const: 4.0ms (33.2% of total)

ival-sub: 3.0ms (24.9% of total)

ival-mult: 3.0ms (24.9% of total)

ival-add: 1.0ms (8.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch82.0ms (1.2%)

Memory

15.1MiB live, 96.3MiB allocated

Algorithm

5×	binary-search

Stop Event

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

Steps

Time	Left	Right
27.0ms	2.8651399417295934e+255	2.166693921401509e+266
16.0ms	8.897425367916076e+138	1.2998486864172515e+151
27.0ms	1.4046761672769723e+61	1.7922321560071324e+69
4.0ms	0.0015059668295491328	14012508113.596964
1.0ms	-2.2258594110048344e-15	-1.8406564430864845e-17

Samples

43.0ms

496×

valid

Compiler

Compiled 1 751 to 1 446 computations (17.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

const: 8.0ms (36.7% of total)

ival-mult: 6.0ms (27.6% of total)

ival-sub: 5.0ms (23% of total)

ival-add: 2.0ms (9.2% of total)

exact: 1.0ms (4.6% of total)

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

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

bsearch40.0ms (0.6%)

Memory

6.4MiB live, 45.4MiB allocated

Algorithm

6×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	2.8651399417295934e+255	2.166693921401509e+266
1.0ms	8.897425367916076e+138	1.2998486864172515e+151
1.0ms	1.4046761672769723e+61	1.7922321560071324e+69
1.0ms	0.0015059668295491328	14012508113.596964
10.0ms	-17.165118894079235	-0.040716817957853174
23.0ms	-8.39323083325545e+91	-5.111020387654878e+90

Samples

25.0ms

208×

valid

Compiler

Compiled 2 102 to 1 707 computations (18.8% saved)

Precisions

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

const: 3.0ms (32.6% of total)

ival-sub: 2.0ms (21.7% of total)

ival-mult: 2.0ms (21.7% of total)

ival-add: 1.0ms (10.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0015059668295491328	14012508113.596964
1.0ms	-17.165118894079235	-0.040716817957853174

Compiler

Compiled 662 to 555 computations (16.2% saved)

bsearch22.0ms (0.3%)

Memory

-18.4MiB live, 19.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	6.114817457037189e-9	245868.84121125285
17.0ms	-1.9725837408909304	-1.7823485855138799

Samples

4.0ms

64×

valid

Compiler

Compiled 434 to 375 computations (13.6% saved)

Precisions

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

ival-sub: 1.0ms (33.4% of total)

ival-mult: 1.0ms (33.4% of total)

const: 1.0ms (33.4% of total)

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

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

exact: 0.0ms (0% of total)

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

simplify118.0ms (1.7%)

Memory

-1.9MiB live, 42.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	93	650
1	138	610
2	185	582
3	299	554
4	530	554
5	1113	554
6	2243	554
7	4160	554
8	7601	554

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 y #s(literal -5908722711110091/144115188075855872 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 y #s(literal 5451911701461569/1298074214633706907132624082305024 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))))))
(if (<=.f64 y #s(literal -5577662641004209/2535301200456458802993406410752 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) #s(literal 918938533204673/1000000000000000 binary64)))) (if (<=.f64 y #s(literal 5451911701461569/1298074214633706907132624082305024 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))))))
(if (<=.f64 x #s(literal -3242591731706757/4503599627370496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 (-.f64 y #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 3512807709348987/4503599627370496 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 y x (neg.f64 x)))))
(if (<=.f64 x #s(literal -3242591731706757/4503599627370496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 (-.f64 y #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 3512807709348987/4503599627370496 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))))
(if (<=.f64 y #s(literal -3422735716801577/2251799813685248 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) (if (<=.f64 y #s(literal 6980579422424269/4503599627370496 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))))
(if (<=.f64 y #s(literal -5577662641004209/2535301200456458802993406410752 binary64)) #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 5944751508129055/4503599627370496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 y #s(literal 309999999999999984172356756626841430150420388232692215742167093608448 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 4699999999999999792096672802206920345589370259931645142942106838990002764436763768682432585951701327410875351522339350739663716267993660915712 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 29499999999999999428310773907068801309203894312420738538713638620227118012010592904416322534170753192353027005315290117450543819216126076247961841817029556598018364451437710694822377621381247249844178500745900663713183295441989591315632368609075914335248476798976 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(approx (- x 1/2) #s(literal -1/2 binary64)) y)))))))
(if (<=.f64 y #s(literal -6700000000000000261679867420619497835152219025006016425687388222141841636496467441328586752 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 -3996944669291315/281474976710656 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 5944751508129055/4503599627370496 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 y #s(literal 309999999999999984172356756626841430150420388232692215742167093608448 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 4699999999999999792096672802206920345589370259931645142942106838990002764436763768682432585951701327410875351522339350739663716267993660915712 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 29499999999999999428310773907068801309203894312420738538713638620227118012010592904416322534170753192353027005315290117450543819216126076247961841817029556598018364451437710694822377621381247249844178500745900663713183295441989591315632368609075914335248476798976 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(approx (- x 1/2) #s(literal -1/2 binary64)) y))))))))
(if (<=.f64 y #s(literal -3996944669291315/281474976710656 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 5944751508129055/4503599627370496 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 -8106479329266893/4503599627370496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) (if (<=.f64 x #s(literal 8286623314361713/9007199254740992 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 y #s(literal -5908722711110091/144115188075855872 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 y #s(literal 5451911701461569/1298074214633706907132624082305024 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))))))
(if (<=.f64 y #s(literal -5577662641004209/2535301200456458802993406410752 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) #s(literal 918938533204673/1000000000000000 binary64)))) (if (<=.f64 y #s(literal 5451911701461569/1298074214633706907132624082305024 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))))))
(if (or (<=.f64 y #s(literal -5577662641004209/2535301200456458802993406410752 binary64)) (not (<=.f64 y #s(literal 5451911701461569/1298074214633706907132624082305024 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) #s(literal 918938533204673/1000000000000000 binary64)))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(if (<=.f64 x #s(literal -3242591731706757/4503599627370496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 (-.f64 y #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 3512807709348987/4503599627370496 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 y x (neg.f64 x)))))
(if (<=.f64 x #s(literal -3242591731706757/4503599627370496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 (-.f64 y #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 3512807709348987/4503599627370496 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))))
(if (or (<=.f64 x #s(literal -3242591731706757/4503599627370496 binary64)) (not (<=.f64 x #s(literal 3512807709348987/4503599627370496 binary64)))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))))
(if (<=.f64 y #s(literal -3422735716801577/2251799813685248 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) (if (<=.f64 y #s(literal 6980579422424269/4503599627370496 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))))
(if (or (<=.f64 y #s(literal -3422735716801577/2251799813685248 binary64)) (not (<=.f64 y #s(literal 6980579422424269/4503599627370496 binary64)))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(if (<=.f64 y #s(literal -5577662641004209/2535301200456458802993406410752 binary64)) #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 5944751508129055/4503599627370496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 y #s(literal 309999999999999984172356756626841430150420388232692215742167093608448 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 4699999999999999792096672802206920345589370259931645142942106838990002764436763768682432585951701327410875351522339350739663716267993660915712 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 29499999999999999428310773907068801309203894312420738538713638620227118012010592904416322534170753192353027005315290117450543819216126076247961841817029556598018364451437710694822377621381247249844178500745900663713183295441989591315632368609075914335248476798976 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(approx (- x 1/2) #s(literal -1/2 binary64)) y)))))))
(if (<=.f64 y #s(literal -5577662641004209/2535301200456458802993406410752 binary64)) #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 5944751508129055/4503599627370496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (or (<=.f64 y #s(literal 309999999999999984172356756626841430150420388232692215742167093608448 binary64)) (not (or (<=.f64 y #s(literal 4699999999999999792096672802206920345589370259931645142942106838990002764436763768682432585951701327410875351522339350739663716267993660915712 binary64)) (not (<=.f64 y #s(literal 29499999999999999428310773907068801309203894312420738538713638620227118012010592904416322534170753192353027005315290117450543819216126076247961841817029556598018364451437710694822377621381247249844178500745900663713183295441989591315632368609075914335248476798976 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(approx (- x 1/2) #s(literal -1/2 binary64)) y)))))
(if (<=.f64 y #s(literal -6700000000000000261679867420619497835152219025006016425687388222141841636496467441328586752 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 -3996944669291315/281474976710656 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 5944751508129055/4503599627370496 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 y #s(literal 309999999999999984172356756626841430150420388232692215742167093608448 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 4699999999999999792096672802206920345589370259931645142942106838990002764436763768682432585951701327410875351522339350739663716267993660915712 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 29499999999999999428310773907068801309203894312420738538713638620227118012010592904416322534170753192353027005315290117450543819216126076247961841817029556598018364451437710694822377621381247249844178500745900663713183295441989591315632368609075914335248476798976 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(approx (- x 1/2) #s(literal -1/2 binary64)) y))))))))
(if (<=.f64 y #s(literal -6700000000000000261679867420619497835152219025006016425687388222141841636496467441328586752 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 -3996944669291315/281474976710656 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 5944751508129055/4503599627370496 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (or (<=.f64 y #s(literal 309999999999999984172356756626841430150420388232692215742167093608448 binary64)) (not (or (<=.f64 y #s(literal 4699999999999999792096672802206920345589370259931645142942106838990002764436763768682432585951701327410875351522339350739663716267993660915712 binary64)) (not (<=.f64 y #s(literal 29499999999999999428310773907068801309203894312420738538713638620227118012010592904416322534170753192353027005315290117450543819216126076247961841817029556598018364451437710694822377621381247249844178500745900663713183295441989591315632368609075914335248476798976 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(approx (- x 1/2) #s(literal -1/2 binary64)) y))))))
(if (<=.f64 y #s(literal -3996944669291315/281474976710656 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 5944751508129055/4503599627370496 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 -3996944669291315/281474976710656 binary64)) (not (<=.f64 y #s(literal 5944751508129055/4503599627370496 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 -8106479329266893/4503599627370496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) (if (<=.f64 x #s(literal 8286623314361713/9007199254740992 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 -8106479329266893/4503599627370496 binary64)) (not (<=.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))) #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)))

soundness1.3s (18.5%)

Memory

20.3MiB live, 808.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	141
0	35	141
1	150	141
2	1105	141
0	8328	133
0	125	295
1	407	295
2	1258	259
3	3553	259
4	7246	259
0	8039	245
0	113	248
1	365	248
2	1126	224
3	3313	224
4	6468	224
0	8076	210
0	76	181
1	232	180
2	731	156
3	1925	156
4	6624	156
0	8112	149
0	787	5404
1	2652	4588
0	8397	4239

Stop Event

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

Compiler

Compiled 968 to 443 computations (54.2% saved)

preprocess63.0ms (0.9%)

Memory: -27.2MiB live, 130.8MiB allocated
Compiler: Compiled 1 242 to 228 computations (81.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (17.9%)

explain233.0ms (3.4%)

preprocess195.0ms (2.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify65.0ms (0.9%)

localize32.0ms (0.5%)

series6.0ms (0.1%)

simplify162.0ms (2.3%)

rewrite207.0ms (3%)

eval51.0ms (0.7%)

prune9.0ms (0.1%)

simplify159.0ms (2.3%)

localize241.0ms (3.5%)

series36.0ms (0.5%)

simplify273.0ms (3.9%)

rewrite399.0ms (5.8%)

eval233.0ms (3.4%)

prune28.0ms (0.4%)

simplify54.0ms (0.8%)

localize88.0ms (1.3%)

series11.0ms (0.2%)

simplify151.0ms (2.2%)

rewrite185.0ms (2.7%)

eval83.0ms (1.2%)

prune32.0ms (0.5%)

simplify88.0ms (1.3%)

localize111.0ms (1.6%)

series15.0ms (0.2%)

simplify215.0ms (3.1%)

rewrite245.0ms (3.5%)

eval112.0ms (1.6%)

prune12.0ms (0.2%)

regimes38.0ms (0.5%)

regimes20.0ms (0.3%)

regimes26.0ms (0.4%)

regimes17.0ms (0.2%)

regimes4.0ms (0.1%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

regimes3.0ms (0%)

regimes11.0ms (0.2%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes31.0ms (0.5%)

bsearch38.0ms (0.6%)

bsearch15.0ms (0.2%)

bsearch53.0ms (0.8%)

bsearch3.0ms (0%)

bsearch54.0ms (0.8%)

bsearch82.0ms (1.2%)

bsearch40.0ms (0.6%)

bsearch2.0ms (0%)

bsearch22.0ms (0.3%)

simplify118.0ms (1.7%)

soundness1.3s (18.5%)

preprocess63.0ms (0.9%)

end0.0ms (0%)

Profiling