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

start0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated

analyze0.0ms (0%)

Memory

2.6MiB live, 2.6MiB 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 (20.1%)

Memory

17.9MiB live, 1 198.8MiB allocated

Samples

907.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 646.0ms

ival-mult: 235.0ms (36.4% of total)

const: 189.0ms (29.3% of total)

ival-sub: 166.0ms (25.7% of total)

ival-add: 38.0ms (5.9% of total)

exact: 8.0ms (1.2% of total)

ival-true: 6.0ms (0.9% of total)

ival-assert: 4.0ms (0.6% of total)

Bogosity

explain196.0ms (3.3%)

Memory

1.4MiB live, 127.5MiB 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

77.0ms

512×

valid

Compiler

Compiled 87 to 34 computations (60.9% saved)

Precisions

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

const: 9.0ms (37.3% of total)

ival-mult: 6.0ms (24.9% of total)

ival-sub: 5.0ms (20.7% of total)

ival-add: 2.0ms (8.3% of total)

exact: 1.0ms (4.1% of total)

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

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

preprocess154.0ms (2.6%)

Memory

-10.1MiB live, 28.6MiB 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: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

simplify39.0ms (0.7%)

Memory

4.0MiB live, 4.0MiB 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	1	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
cost-diff	2	(-.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)

localize26.0ms (0.4%)

Memory

10.5MiB live, 10.5MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

19.0ms

256×

valid

Compiler

Compiled 38 to 12 computations (68.4% saved)

Precisions

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

const: 4.0ms (34.5% of total)

ival-sub: 3.0ms (25.9% of total)

ival-mult: 3.0ms (25.9% of total)

ival-add: 1.0ms (8.6% 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

2.7MiB live, 2.7MiB 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	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	@	0	((- (* x (- y 1)) (* y 1/2)) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* x (- y 1)) (- y 1) (* y 1/2))

simplify138.0ms (2.3%)

Memory

-9.9MiB live, 27.7MiB 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))

rewrite241.0ms (4%)

Memory

4.8MiB live, 54.2MiB 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))

eval83.0ms (1.4%)

Memory: -13.5MiB live, 62.9MiB allocated
Compiler: Compiled 11 351 to 1 381 computations (87.8% saved)

prune8.0ms (0.1%)

Memory

20.5MiB live, 20.5MiB 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
▶	100.0%	(fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
▶	75.0%	(+.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)))
▶	53.2%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
▶	54.6%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))

Compiler

Compiled 154 to 130 computations (15.6% saved)

simplify48.0ms (0.8%)

Memory

-16.6MiB live, 22.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	146
0	33	147
1	64	141
2	100	134
3	212	132
4	427	132
5	879	132
6	1362	132
7	1597	132
8	1688	132
9	1695	132
0	1695	132

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize75.0ms (1.3%)

Memory

17.4MiB live, 60.3MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x #s(literal 1/2 binary64))
accuracy	0.0	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
accuracy	0.0	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
accuracy	0.0078125	(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
accuracy	0.0	(-.f64 x #s(literal 1/2 binary64))
accuracy	0.0	(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64))
accuracy	0.01171875	(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
accuracy	23.19806165816342	#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	29.939933528372762	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
accuracy	0.0	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
accuracy	29.058372067531224	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
accuracy	0.0	(fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
accuracy	0.0	(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
accuracy	0.0	(-.f64 y #s(literal 1 binary64))

Samples

45.0ms

256×

valid

Compiler

Compiled 123 to 21 computations (82.9% saved)

Precisions

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

ival-mult: 7.0ms (32.5% of total)

ival-sub: 5.0ms (23.2% of total)

const: 5.0ms (23.2% of total)

ival-add: 4.0ms (18.6% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

12 → 48

Calls

Call 1

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

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

Calls

6 calls:

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

simplify156.0ms (2.6%)

Memory

-31.7MiB live, 86.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	295
1	407	295
2	1265	257
3	3636	257
4	6986	257
0	8025	240

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 46

Calls

Call 1

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

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

rewrite279.0ms (4.7%)

Memory

11.7MiB live, 166.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	118
0	33	118
1	174	112
2	1388	112
0	8277	110

Stop Event

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

Counts

12 → 504

Calls

Call 1

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

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

eval171.0ms (2.9%)

Memory: -7.4MiB live, 113.8MiB allocated
Compiler: Compiled 20 856 to 1 991 computations (90.5% saved)

prune11.0ms (0.2%)

Memory

32.7MiB live, 32.7MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	633	5	638
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	636	7	643

Accuracy

100.0%

Counts

643 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.0%	(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) #s(literal 918938533204673/1000000000000000 binary64))
✓	53.2%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
✓	54.6%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
▶	25.3%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
▶	31.1%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
▶	48.2%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x)))
▶	46.0%	#s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))

Compiler

Compiled 225 to 177 computations (21.3% saved)

simplify48.0ms (0.8%)

Memory

-27.2MiB live, 12.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	178
0	44	179
1	79	175
2	114	165
3	198	163
4	441	163
5	924	163
6	1402	163
7	1641	163
8	1695	163
0	1695	157

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize90.0ms (1.5%)

Memory

-22.1MiB live, 73.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 y #s(literal 1 binary64))
accuracy	0.0	(*.f64 (-.f64 y #s(literal 1 binary64)) 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 y #s(literal 1 binary64)) x)))
accuracy	33.12398233586891	#s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
accuracy	0.0	(-.f64 x #s(literal 1/2 binary64))
accuracy	0.01171875	(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
accuracy	34.5644788775846	#s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
accuracy	0.0	(neg.f64 x)
accuracy	29.058372067531224	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
accuracy	33.059211995656064	#s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))
accuracy	29.058372067531224	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
accuracy	29.927873554384202	#s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))
accuracy	0.0	(fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))
accuracy	0.0	(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) #s(literal 918938533204673/1000000000000000 binary64))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	23.19806165816342	#s(approx (- (* x (- y 1)) (* y 1/2)) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)))

Samples

42.0ms

256×

valid

Compiler

Compiled 121 to 24 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 9.0ms (30.5% of total)

const: 9.0ms (30.5% of total)

ival-sub: 5.0ms (16.9% of total)

ival-add: 5.0ms (16.9% of total)

ival-neg: 1.0ms (3.4% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated

Counts

16 → 49

Calls

Call 1

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

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

Calls

6 calls:

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

simplify112.0ms (1.9%)

Memory

2.9MiB live, 158.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	300
1	409	300
2	1242	262
3	3503	262
4	7217	262
0	8310	247

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 47

Calls

Call 1

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

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

rewrite175.0ms (2.9%)

Memory

1.2MiB live, 277.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	166
0	44	167
1	199	163
2	1541	163
0	8851	151

Stop Event

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

Counts

16 → 215

Calls

Call 1

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

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

eval23.0ms (0.4%)

Memory: 22.3MiB live, 60.9MiB allocated
Compiler: Compiled 6 466 to 819 computations (87.3% saved)

prune8.0ms (0.1%)

Memory

-16.8MiB live, 22.0MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	189	1	190
Fresh	0	0	0
Picked	0	5	5
Done	0	2	2
Total	189	8	197

Accuracy

100.0%

Counts

197 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	75.0%	(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) #s(literal 918938533204673/1000000000000000 binary64))
✓	53.2%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
✓	54.6%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
✓	25.3%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
✓	31.1%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
✓	48.2%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x)))
✓	46.0%	#s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
▶	24.2%	#s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))

Compiler

Compiled 147 to 118 computations (19.7% saved)

simplify62.0ms (1%)

Memory

9.5MiB live, 49.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New

Metric

Score

Program

cost-diff

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

cost-diff

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

cost-diff

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	33
0	16	33
1	30	33
2	45	33
3	82	31
4	114	31
5	159	31
6	262	31
7	442	31
8	846	31
9	1197	31
10	1458	31
11	1573	31
12	1619	31
13	1623	31
14	1625	31
15	1628	31
16	1630	31
0	1630	30

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize61.0ms (1%)

Memory

3.4MiB live, 129.5MiB allocated

Localize:

Found 3 expressions of interest:

New

Metric

Score

Program

accuracy

0.01171875

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

accuracy

29.936742206796197

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

accuracy

34.5644788775846

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

Samples

55.0ms

256×

valid

Compiler

Compiled 23 to 15 computations (34.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-add: 30.0ms (68% of total)

const: 6.0ms (13.6% of total)

ival-mult: 5.0ms (11.3% of total)

ival-sub: 3.0ms (6.8% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

-31.6MiB live, 7.5MiB allocated

Counts

3 → 21

Calls

Call 1

Inputs

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

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

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) (* (- x 1/2) y) (- x 1/2))
1.0ms	y	@	-inf	((+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) (* (- x 1/2) y) (- x 1/2))
0.0ms	y	@	inf	((+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) (* (- x 1/2) y) (- x 1/2))
0.0ms	y	@	0	((+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) (* (- x 1/2) y) (- x 1/2))
0.0ms	x	@	inf	((+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) (* (- x 1/2) y) (- x 1/2))

simplify96.0ms (1.6%)

Memory

0.4MiB live, 158.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	122
1	195	121
2	599	109
3	1567	109
4	4853	109
0	8056	102

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 20

Calls

Call 1

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

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

rewrite162.0ms (2.7%)

Memory

27.8MiB live, 264.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	31
0	16	31
1	83	31
2	610	31
0	8331	29

Stop Event

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

Counts

3 → 8

Calls

Call 1

Inputs

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

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

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

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

eval2.0ms (0%)

Memory: 5.1MiB live, 5.1MiB allocated
Compiler: Compiled 331 to 55 computations (83.4% saved)

prune6.0ms (0.1%)

Memory

-26.5MiB live, 12.7MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	16	1	17
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	16	9	25

Accuracy

100.0%

Counts

25 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	75.0%	(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))) #s(literal 918938533204673/1000000000000000 binary64))
✓	53.2%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
✓	54.6%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
✓	25.3%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
✓	31.1%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
✓	48.2%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x)))
✓	46.0%	#s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
✓	24.2%	#s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
	24.1%	#s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) #s(approx (* (- x 1/2) y) (*.f64 x y)))

Compiler

Compiled 393 to 192 computations (51.1% saved)

regimes19.0ms (0.3%)

Memory

7.2MiB live, 46.6MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	x
5.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
4.0ms	y
4.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Results

Accuracy	Segments	Branch
100.0%	1	`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)

regimes31.0ms (0.5%)

Memory

14.1MiB live, 62.9MiB allocated

Counts

11 → 1

Calls

Call 1

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

Calls

4 calls:

18.0ms	y
4.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
4.0ms	x
4.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Results

Accuracy	Segments	Branch
100.0%	1	`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)

regimes16.0ms (0.3%)

Memory

-8.1MiB live, 30.6MiB allocated

Counts

9 → 3

Calls

Call 1

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

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

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

Calls

4 calls:

6.0ms	(-.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))
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
98.8%	3	`x`
98.0%	3	`y`
80.1%	3	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
80.1%	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)

regimes9.0ms (0.1%)

Memory

-22.8MiB live, 15.8MiB 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 (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) #s(approx (* (- x 1/2) y) (*.f64 x y)))
#s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 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 (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x)))

Outputs

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

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

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

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
97.4%	3	`y`
98.0%	3	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes6.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB 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 (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) #s(approx (* (- x 1/2) y) (*.f64 x y)))
#s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 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 (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))

Outputs

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

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
97.4%	3	`y`
78.8%	4	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes8.0ms (0.1%)

Memory

19.9MiB live, 19.9MiB allocated

Counts

6 → 5

Calls

Call 1

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

3.0ms

Results

Accuracy	Segments	Branch
66.9%	4	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
66.9%	4	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
82.7%	5	`y`

Compiler

Compiled 21 to 20 computations (4.8% saved)

regimes5.0ms (0.1%)

Memory

-32.0MiB live, 6.5MiB allocated

Counts

5 → 5

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
82.3%	5	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB 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 (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) #s(approx (* (- x 1/2) y) (*.f64 x y)))

Outputs

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

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

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
56.9%	2	`x`
75.7%	3	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes8.0ms (0.1%)

Memory

18.5MiB live, 18.5MiB 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	y
2.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
2.0ms	x

Results

Accuracy	Segments	Branch
54.6%	1	`x`
54.6%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
54.6%	1	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
54.6%	1	`y`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes9.0ms (0.2%)

Memory

-25.7MiB live, 16.0MiB 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:

4.0ms	y
2.0ms	(-.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	x

Results

Accuracy	Segments	Branch
53.4%	3	`x`
34.9%	3	`y`
53.3%	3	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
53.3%	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)

regimes5.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB 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:

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
31.1%	1	`y`
31.1%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
31.1%	1	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
31.1%	1	`x`

Compiler

Compiled 22 to 22 computations (0% saved)

bsearch42.0ms (0.7%)

Memory

-7.2MiB live, 69.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1.2339994460877153e-5	4116518.094616587
18.0ms	-32239493256477913000.0	-9600067767.157701

Samples

24.0ms

304×

valid

Compiler

Compiled 850 to 680 computations (20% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

const: 8.0ms (47.4% of total)

ival-mult: 4.0ms (23.7% of total)

ival-sub: 3.0ms (17.8% of total)

ival-add: 1.0ms (5.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch41.0ms (0.7%)

Memory

32.8MiB live, 70.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.2339994460877153e-5	4116518.094616587
17.0ms	-4113626547.9213915	-0.00010097373914950083

Samples

24.0ms

304×

valid

Compiler

Compiled 874 to 715 computations (18.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

const: 9.0ms (51.7% of total)

ival-mult: 4.0ms (23% of total)

ival-sub: 3.0ms (17.2% of total)

ival-add: 1.0ms (5.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch37.0ms (0.6%)

Memory

-26.8MiB live, 54.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.9194768590885454	3.469069124449486
22.0ms	-58124.860343968605	-2.687503779523293e-8

Samples

24.0ms

240×

valid

Compiler

Compiled 494 to 450 computations (8.9% saved)

Precisions

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

ival-sub: 10.0ms (54.7% of total)

const: 4.0ms (21.9% 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)

bsearch53.0ms (0.9%)

Memory

13.6MiB live, 89.5MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
18.0ms	7.783802515501656e+125	1.3195837975368968e+131
10.0ms	1.034138357082849e+59	1.5841252217055151e+60
1.0ms	0.9194768590885454	3.469069124449486
19.0ms	-58124.860343968605	-2.687503779523293e-8

Samples

30.0ms

384×

valid

Compiler

Compiled 1 104 to 970 computations (12.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

const: 6.0ms (34.4% of total)

ival-mult: 5.0ms (28.7% of total)

ival-sub: 4.0ms (22.9% of total)

ival-add: 2.0ms (11.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch23.0ms (0.4%)

Memory

-6.9MiB live, 36.8MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	7.783802515501656e+125	1.3195837975368968e+131
1.0ms	1.034138357082849e+59	1.5841252217055151e+60
1.0ms	0.9194768590885454	3.469069124449486
18.0ms	-58124.860343968605	-2.687503779523293e-8

Samples

9.0ms

128×

valid

Compiler

Compiled 1 134 to 990 computations (12.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 2.0ms (34.9% of total)

const: 2.0ms (34.9% of total)

ival-sub: 1.0ms (17.4% of total)

ival-add: 1.0ms (17.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch17.0ms (0.3%)

Memory

-3.3MiB live, 35.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.9194768590885454	3.469069124449486
15.0ms	-30955335643.249126	-328151600.8349413

Samples

11.0ms

112×

valid

Compiler

Compiled 446 to 387 computations (13.2% saved)

Precisions

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

const: 2.0ms (38.1% of total)

ival-sub: 1.0ms (19% of total)

ival-add: 1.0ms (19% of total)

ival-mult: 1.0ms (19% of total)

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

exact: 0.0ms (0% of total)

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

bsearch29.0ms (0.5%)

Memory

23.9MiB live, 63.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	5.63645968612081e-13	1.2339994460877153e-5
11.0ms	-9600067767.157701	-4113626547.9213915

Samples

16.0ms

224×

valid

Compiler

Compiled 504 to 435 computations (13.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

const: 4.0ms (39.2% of total)

ival-mult: 3.0ms (29.4% of total)

ival-sub: 2.0ms (19.6% of total)

ival-add: 1.0ms (9.8% of total)

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

exact: 0.0ms (0% of total)

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

simplify123.0ms (2.1%)

Memory

-16.0MiB live, 66.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	87	475
1	141	475
2	197	448
3	378	433
4	741	433
5	1688	433
6	2815	433
7	4675	433
8	7911	433

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(if (<=.f64 x #s(literal -10000000000 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (.f64 (-.f64 y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 38000 binary64)) (+.f64 #s(approx (- ( x (- y 1)) (* y 1/2)) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x)))))
(if (<=.f64 x #s(literal -3242591731706757/4503599627370496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (.f64 (-.f64 y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 8286623314361713/9007199254740992 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x)))))
(if (<=.f64 y #s(literal -3/2 binary64)) #s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) (if (<=.f64 y #s(literal 8106479329266893/4503599627370496 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))))
(if (<=.f64 y #s(literal -7673845534663173/590295810358705651712 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 8106479329266893/4503599627370496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 y #s(literal 175000000000000008983344835812451814947212495046035967574016 binary64)) #s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) #s(approx (* (- x 1/2) y) (.f64 x y))) (if (<=.f64 y #s(literal 299999999999999984073824398788978982500178621509224607521689849393417015904469283815649662851582672919235396975605327422780604416 binary64)) #s(approx (+ ( (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) (.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) #s(approx (+ ( (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) #s(approx (* (- x 1/2) y) (*.f64 x y)))))))
(if (<=.f64 y #s(literal -210 binary64)) #s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) (.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) (if (<=.f64 y #s(literal 8106479329266893/4503599627370496 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 y #s(literal 175000000000000008983344835812451814947212495046035967574016 binary64)) #s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) #s(approx (* (- x 1/2) y) (.f64 x y))) (if (<=.f64 y #s(literal 299999999999999984073824398788978982500178621509224607521689849393417015904469283815649662851582672919235396975605327422780604416 binary64)) #s(approx (+ ( (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) (.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) #s(approx (+ ( (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) #s(approx (* (- x 1/2) y) (*.f64 x y)))))))
(if (<=.f64 y #s(literal -340000000 binary64)) #s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) #s(approx (* (- x 1/2) y) (.f64 x y))) (if (<=.f64 y #s(literal 8106479329266893/4503599627370496 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) #s(approx (* (- x 1/2) y) (*.f64 x y)))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(if (<=.f64 x #s(literal -4150000000 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) (if (<=.f64 x #s(literal 1770887431076117/147573952589676412928 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))

Outputs
(fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
#s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(if (<=.f64 x #s(literal -10000000000 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (.f64 (-.f64 y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 38000 binary64)) (+.f64 #s(approx (- ( x (- y 1)) (* y 1/2)) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x)))))
(if (or (<=.f64 x #s(literal -10000000000 binary64)) (not (<=.f64 x #s(literal 38000 binary64)))) #s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) #s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (.f64 (-.f64 y #s(literal 1 binary64)) x))) (+.f64 #s(approx (- ( x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64)))
(if (<=.f64 x #s(literal -3242591731706757/4503599627370496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (.f64 (-.f64 y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 8286623314361713/9007199254740992 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x)))))
(if (or (<=.f64 x #s(literal -3242591731706757/4503599627370496 binary64)) (not (<=.f64 x #s(literal 8286623314361713/9007199254740992 binary64)))) #s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) #s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (.f64 (-.f64 y #s(literal 1 binary64)) x))) #s(approx (+ ( (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))))
(if (<=.f64 y #s(literal -3/2 binary64)) #s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) (if (<=.f64 y #s(literal 8106479329266893/4503599627370496 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))))
(if (or (<=.f64 y #s(literal -3/2 binary64)) (not (<=.f64 y #s(literal 8106479329266893/4503599627370496 binary64)))) #s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(approx (+ ( (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(if (<=.f64 y #s(literal -7673845534663173/590295810358705651712 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 8106479329266893/4503599627370496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 y #s(literal 175000000000000008983344835812451814947212495046035967574016 binary64)) #s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) #s(approx (* (- x 1/2) y) (.f64 x y))) (if (<=.f64 y #s(literal 299999999999999984073824398788978982500178621509224607521689849393417015904469283815649662851582672919235396975605327422780604416 binary64)) #s(approx (+ ( (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) (.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) #s(approx (+ ( (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) #s(approx (* (- x 1/2) y) (*.f64 x y)))))))
(if (<=.f64 y #s(literal -7673845534663173/590295810358705651712 binary64)) #s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) (if (<=.f64 y #s(literal 8106479329266893/4503599627370496 binary64)) #s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (or (<=.f64 y #s(literal 175000000000000008983344835812451814947212495046035967574016 binary64)) (not (<=.f64 y #s(literal 299999999999999984073824398788978982500178621509224607521689849393417015904469283815649662851582672919235396975605327422780604416 binary64)))) #s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) #s(approx (* (- x 1/2) y) (.f64 x y))) #s(approx (+ ( (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)))))
(if (<=.f64 y #s(literal -210 binary64)) #s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) (.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) (if (<=.f64 y #s(literal 8106479329266893/4503599627370496 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 y #s(literal 175000000000000008983344835812451814947212495046035967574016 binary64)) #s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) #s(approx (* (- x 1/2) y) (.f64 x y))) (if (<=.f64 y #s(literal 299999999999999984073824398788978982500178621509224607521689849393417015904469283815649662851582672919235396975605327422780604416 binary64)) #s(approx (+ ( (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) (.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) #s(approx (+ ( (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) #s(approx (* (- x 1/2) y) (*.f64 x y)))))))
(if (<=.f64 y #s(literal -210 binary64)) #s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) (.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) (if (<=.f64 y #s(literal 8106479329266893/4503599627370496 binary64)) #s(approx (+ ( (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (or (<=.f64 y #s(literal 175000000000000008983344835812451814947212495046035967574016 binary64)) (not (<=.f64 y #s(literal 299999999999999984073824398788978982500178621509224607521689849393417015904469283815649662851582672919235396975605327422780604416 binary64)))) #s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) #s(approx (* (- x 1/2) y) (.f64 x y))) #s(approx (+ ( (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)))))
(if (<=.f64 y #s(literal -340000000 binary64)) #s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) #s(approx (* (- x 1/2) y) (.f64 x y))) (if (<=.f64 y #s(literal 8106479329266893/4503599627370496 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) #s(approx (* (- x 1/2) y) (*.f64 x y)))))
(if (or (<=.f64 y #s(literal -340000000 binary64)) (not (<=.f64 y #s(literal 8106479329266893/4503599627370496 binary64)))) #s(approx (+ (* (- y 1) x) (+ (* -1/2 y) 918938533204673/1000000000000000)) #s(approx (* (- x 1/2) y) (.f64 x y))) #s(approx (+ ( (- x 1/2) y) (- 918938533204673/1000000000000000 x)) (-.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 1/2) y) (- 918938533204673/1000000000000000 x)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(if (<=.f64 x #s(literal -4150000000 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) (if (<=.f64 x #s(literal 1770887431076117/147573952589676412928 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 -4150000000 binary64)) (not (<=.f64 x #s(literal 1770887431076117/147573952589676412928 binary64)))) #s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) #s(approx (+ (* (- x 1/2) y) (- 918938533204673/1000000000000000 x)) #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 1/2) y) (- 918938533204673/1000000000000000 x)) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))

soundness1.7s (28.9%)

Memory

-14.6MiB live, 826.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	122
1	195	121
2	599	109
3	1567	109
4	4853	109
0	8056	102
0	10	31
0	15	31
1	69	31
2	524	31
3	7740	31
0	8269	28
0	126	295
1	407	295
2	1265	257
3	3636	257
4	6986	257
0	8025	240
0	125	300
1	409	300
2	1242	262
3	3503	262
4	7217	262
0	8310	247
0	76	181
1	232	180
2	731	156
3	1925	156
4	6624	156
0	8112	149

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×	iter limit
1×	node limit

Compiler

Compiled 759 to 366 computations (51.8% saved)

preprocess56.0ms (0.9%)

Memory: 4.0MiB live, 122.1MiB allocated
Compiler: Compiled 920 to 210 computations (77.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (20.1%)

explain196.0ms (3.3%)

preprocess154.0ms (2.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify39.0ms (0.7%)

localize26.0ms (0.4%)

series6.0ms (0.1%)

simplify138.0ms (2.3%)

rewrite241.0ms (4%)

eval83.0ms (1.4%)

prune8.0ms (0.1%)

simplify48.0ms (0.8%)

localize75.0ms (1.3%)

series7.0ms (0.1%)

simplify156.0ms (2.6%)

rewrite279.0ms (4.7%)

eval171.0ms (2.9%)

prune11.0ms (0.2%)

simplify48.0ms (0.8%)

localize90.0ms (1.5%)

series9.0ms (0.1%)

simplify112.0ms (1.9%)

rewrite175.0ms (2.9%)

eval23.0ms (0.4%)

prune8.0ms (0.1%)

simplify62.0ms (1%)

localize61.0ms (1%)

series5.0ms (0.1%)

simplify96.0ms (1.6%)

rewrite162.0ms (2.7%)

eval2.0ms (0%)

prune6.0ms (0.1%)

regimes19.0ms (0.3%)

regimes31.0ms (0.5%)

regimes16.0ms (0.3%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes8.0ms (0.1%)

regimes9.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch42.0ms (0.7%)

bsearch41.0ms (0.7%)

bsearch37.0ms (0.6%)

bsearch53.0ms (0.9%)

bsearch23.0ms (0.4%)

bsearch17.0ms (0.3%)

bsearch29.0ms (0.5%)

simplify123.0ms (2.1%)

soundness1.7s (28.9%)

preprocess56.0ms (0.9%)

end0.0ms (0%)

Profiling