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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

sample1.3s (20.8%)

Memory

27.5MiB live, 969.5MiB allocated

Samples

873.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 626.0ms

ival-sub: 193.0ms (30.8% of total)

ival-mult: 192.0ms (30.7% of total)

const: 166.0ms (26.5% of total)

ival-add: 57.0ms (9.1% of total)

exact: 8.0ms (1.3% of total)

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

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain227.0ms (3.7%)

Memory

-26.0MiB live, 219.7MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

57.0ms	510×	0	valid
0.0ms	2×	2	valid

Compiler

Compiled 159 to 70 computations (56% saved)

Precisions

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

const: 9.0ms (36.7% of total)

ival-mult: 7.0ms (28.5% of total)

ival-sub: 5.0ms (20.4% of total)

ival-add: 2.0ms (8.2% of total)

exact: 1.0ms (4.1% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess139.0ms (2.2%)

Memory

-1.8MiB live, 76.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	61
1	75	59
2	196	55
3	617	49
4	1512	45
5	2805	45
6	3394	45
7	3511	45
8	3531	45
9	3533	45
10	3535	45
11	3555	45
0	10	11
0	15	11
1	30	11
2	58	11
3	116	9
4	218	9
5	447	9
6	852	9
7	1252	9
8	1489	9
9	1510	9
0	1510	8

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

simplify53.0ms (0.9%)

Memory

4.3MiB live, 43.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 y #s(literal 1 binary64))
cost-diff	0	(*.f64 x (-.f64 y #s(literal 1 binary64)))
cost-diff	128	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
cost-diff	320	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
0	15	36
1	30	36
2	58	36
3	116	32
4	218	32
5	447	32
6	852	32
7	1252	32
8	1489	32
9	1510	32
0	1510	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)

localize65.0ms (1%)

Memory

11.7MiB live, 54.1MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

58.0ms	255×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 74 to 22 computations (70.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

const: 14.0ms (65.5% of total)

ival-mult: 3.0ms (14% of total)

ival-sub: 3.0ms (14% of total)

ival-add: 1.0ms (4.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series31.0ms (0.5%)

Memory

-27.1MiB live, 11.9MiB 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
27.0ms	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))

simplify295.0ms (4.8%)

Memory

12.1MiB live, 136.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	181
1	232	180
2	695	156
3	1800	156
4	6371	156
0	8162	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))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y 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)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y 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)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y 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))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y 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))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y 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))))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y 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))

rewrite262.0ms (4.2%)

Memory

-0.8MiB live, 192.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
0	15	31
1	69	31
2	520	31
3	7720	31
0	8249	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))

eval113.0ms (1.8%)

Memory: 12.0MiB live, 84.1MiB allocated
Compiler: Compiled 11 351 to 1 381 computations (87.8% saved)

prune7.0ms (0.1%)

Memory

22.2MiB live, 22.2MiB 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)))
▶	73.2%	(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64))
▶	52.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
▶	100.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)))
▶	50.0%	#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)

simplify45.0ms (0.7%)

Memory

-30.9MiB live, 17.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	149
0	38	148
1	73	142
2	122	140
3	260	135
4	567	135
5	1097	135
6	1420	135
7	1563	135
8	1573	135
0	1573	135

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize96.0ms (1.5%)

Memory

-0.6MiB live, 75.2MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
accuracy	0	(-.f64 y #s(literal 1 binary64))
accuracy	0.01171875	(fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
accuracy	0	(-.f64 x #s(literal 1/2 binary64))
accuracy	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	0.0078125	(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
accuracy	22.723859687450137	#s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
accuracy	0	(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
accuracy	30.74926962341253	#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	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
accuracy	31.97645875087925	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
accuracy	0	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x))
accuracy	0	(-.f64 #s(literal 1/2 binary64) x)
accuracy	0	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)))
accuracy	0.0078125	(fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)

Samples

66.0ms	255×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 276 to 52 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 37.0ms (69.8% of total)

ival-sub: 7.0ms (13.2% of total)

ival-add: 4.0ms (7.5% of total)

const: 4.0ms (7.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

14 → 66

Calls

Call 1

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

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

Calls

6 calls:

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

simplify131.0ms (2.1%)

Memory

-14.0MiB live, 105.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	409
1	479	397
2	1335	355
3	3886	355
4	7042	355
0	8082	330

Stop Event

1×	iter limit
1×	node limit

Counts

66 → 64

Calls

Call 1

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

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

rewrite280.0ms (4.5%)

Memory

-6.0MiB live, 245.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	127
0	38	127
1	199	121
2	1601	121
0	8379	119

Stop Event

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

Counts

14 → 441

Calls

Call 1

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

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

eval123.0ms (2%)

Memory: -14.2MiB live, 108.6MiB allocated
Compiler: Compiled 16 436 to 1 845 computations (88.8% saved)

prune12.0ms (0.2%)

Memory

31.0MiB live, 31.0MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	492	6	498
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	493	10	503

Accuracy

100.0%

Counts

503 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.2%	(+.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))
✓	73.2%	(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64))
✓	52.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
✓	100.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)))
▶	71.3%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(approx (- 1/2 x) (neg.f64 x)) y x)))
▶	77.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(approx (- 1/2 x) #s(literal 1/2 binary64)) y x)))
✓	50.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
▶	49.4%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
▶	51.3%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
▶	24.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))

Compiler

Compiled 296 to 237 computations (19.9% saved)

simplify59.0ms (1%)

Memory

-11.5MiB live, 28.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	182
0	40	182
1	75	182
2	137	177
3	264	172
4	542	172
5	984	172
6	1603	172
7	1886	172
8	2084	172
9	2090	172
0	2090	167

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize92.0ms (1.5%)

Memory

-6.4MiB live, 76.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 x)
accuracy	0	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(approx (- 1/2 x) (neg.f64 x)) y x)))
accuracy	0.0078125	(fma.f64 #s(approx (- 1/2 x) (neg.f64 x)) y x)
accuracy	32.271113144130226	#s(approx (- 1/2 x) (neg.f64 x))
accuracy	0	(-.f64 y #s(literal 1 binary64))
accuracy	0.01171875	(*.f64 (-.f64 y #s(literal 1 binary64)) x)
accuracy	32.37149960585932	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
accuracy	0	(-.f64 x #s(literal 1/2 binary64))
accuracy	0.0078125	(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
accuracy	31.147236310159258	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
accuracy	30.734003259373278	#s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))
accuracy	31.97645875087925	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
accuracy	0	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(approx (- 1/2 x) #s(literal 1/2 binary64)) y x))
accuracy	0	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(approx (- 1/2 x) #s(literal 1/2 binary64)) y x)))
accuracy	0.0078125	(fma.f64 #s(approx (- 1/2 x) #s(literal 1/2 binary64)) y x)
accuracy	30.746514986436186	#s(approx (- 1/2 x) #s(literal 1/2 binary64))

Samples

78.0ms	255×	0	valid
0.0ms	1×	2	valid

Compiler

Compiled 312 to 53 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

const: 29.0ms (61% of total)

ival-mult: 8.0ms (16.8% of total)

ival-sub: 7.0ms (14.7% of total)

ival-add: 2.0ms (4.2% of total)

ival-neg: 1.0ms (2.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

17 → 57

Calls

Call 1

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

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

Calls

6 calls:

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

simplify107.0ms (1.7%)

Memory

13.1MiB live, 131.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	322
1	414	310
2	1169	286
3	3382	286
4	6754	286
0	8062	267

Stop Event

1×	iter limit
1×	node limit

Counts

57 → 55

Calls

Call 1

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

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

rewrite196.0ms (3.2%)

Memory

-26.3MiB live, 290.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	168
0	40	168
1	184	168
2	1487	168
0	8354	158

Stop Event

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

Counts

17 → 358

Calls

Call 1

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

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

eval45.0ms (0.7%)

Memory: 27.2MiB live, 104.4MiB allocated
Compiler: Compiled 14 791 to 1 507 computations (89.8% saved)

prune11.0ms (0.2%)

Memory

-4.0MiB live, 34.4MiB allocated

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	375	4	379
Fresh	1	0	1
Picked	2	3	5
Done	0	4	4
Total	378	11	389

Accuracy

100.0%

Counts

389 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.2%	(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64))
▶	51.3%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)))
▶	49.4%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x)))
✓	52.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
✓	100.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)))
✓	77.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(approx (- 1/2 x) #s(literal 1/2 binary64)) y x)))
✓	50.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
✓	51.3%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
▶	30.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
✓	24.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
▶	23.6%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 y x)))

Compiler

Compiled 199 to 159 computations (20.1% saved)

simplify59.0ms (0.9%)

Memory

-4.8MiB live, 38.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal -1/2 binary64) y)
cost-diff	0	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)))
cost-diff	192	(fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))
cost-diff	0	(neg.f64 x)
cost-diff	0	(fma.f64 y x (neg.f64 x))
cost-diff	0	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x)))
cost-diff	0	#s(approx (- x 1/2) #s(literal -1/2 binary64))
cost-diff	0	(*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)
cost-diff	0	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (* (- x 1/2) y) (*.f64 y x))
cost-diff	0	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 y x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	124
0	31	124
1	57	122
2	87	114
3	168	114
4	410	114
5	791	114
6	1256	114
7	1552	114
8	1611	114
9	1615	114
10	1617	114
11	1620	114
12	1622	114
0	1622	110

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize48.0ms (0.8%)

Memory

-15.0MiB live, 102.2MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 y x (*.f64 #s(literal -1/2 binary64) y))
accuracy	0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	31.147236310159258	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)))
accuracy	0	(fma.f64 y x (neg.f64 x))
accuracy	0	(neg.f64 x)
accuracy	32.37149960585932	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x)))
accuracy	0.0078125	(*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)
accuracy	30.746514986436186	#s(approx (- x 1/2) #s(literal -1/2 binary64))
accuracy	31.147236310159258	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
accuracy	0	(*.f64 y x)
accuracy	31.147236310159258	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 y x)))
accuracy	32.10989046091848	#s(approx (* (- x 1/2) y) (*.f64 y x))

Samples

36.0ms

256×

valid

Compiler

Compiled 213 to 45 computations (78.9% saved)

Precisions

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

ival-mult: 8.0ms (36.7% of total)

const: 5.0ms (23% of total)

ival-sub: 4.0ms (18.4% of total)

ival-add: 3.0ms (13.8% of total)

ival-neg: 1.0ms (4.6% 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

16.8MiB live, 16.7MiB allocated

Counts

12 → 26

Calls

Call 1

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

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

Calls

6 calls:

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

simplify112.0ms (1.8%)

Memory

-7.9MiB live, 147.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	144
1	240	143
2	698	131
3	2011	131
4	5881	131
0	8071	124

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 25

Calls

Call 1

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

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

rewrite200.0ms (3.2%)

Memory

8.1MiB live, 286.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	115
0	31	115
1	132	113
2	989	102
0	10109	98

Stop Event

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

Counts

12 → 244

Calls

Call 1

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

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

eval32.0ms (0.5%)

Memory: -13.2MiB live, 69.1MiB allocated
Compiler: Compiled 6 297 to 775 computations (87.7% saved)

prune9.0ms (0.1%)

Memory

27.8MiB live, 27.8MiB allocated

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	253	0	253
Fresh	0	0	0
Picked	0	4	4
Done	0	7	7
Total	253	11	264

Accuracy

100.0%

Counts

264 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	73.2%	(+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64))
✓	51.3%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (*.f64 #s(literal -1/2 binary64) y)))
✓	49.4%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x)))
✓	52.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
✓	100.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)))
✓	77.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(approx (- 1/2 x) #s(literal 1/2 binary64)) y x)))
✓	50.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
✓	51.3%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
✓	30.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
✓	24.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
✓	23.6%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 y x)))

Compiler

Compiled 476 to 222 computations (53.4% saved)

regimes24.0ms (0.4%)

Memory

-28.8MiB live, 49.4MiB allocated

Counts

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

Calls

4 calls:

7.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
6.0ms	x
5.0ms	y
5.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Results

Accuracy	Segments	Branch
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)

regimes19.0ms (0.3%)

Memory

-3.2MiB live, 35.8MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

4.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
4.0ms	x
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
99.5%	3	`x`
99.6%	3	`y`
88.6%	3	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
88.6%	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

19.8MiB live, 19.8MiB allocated

Counts

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

Outputs

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

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

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

Calls

2 calls:

4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
99.0%	3	`x`
98.7%	3	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB 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) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 y x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(approx (- 1/2 x) #s(literal 1/2 binary64)) y x)))

Outputs

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

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.0%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.1%)

Memory

-26.4MiB live, 15.9MiB 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) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 y x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x)))

Outputs

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

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

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

Calls

2 calls:

5.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
98.0%	3	`y`
98.1%	3	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes3.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB 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) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 y x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.1%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
98.0%	3	`y`
79.3%	3	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes11.0ms (0.2%)

Memory

-14.7MiB live, 24.6MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
79.3%	3	`x`
62.2%	3	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
62.2%	3	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
77.7%	3	`y`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes5.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB 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) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 y x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))

Outputs

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

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
76.9%	3	`y`
58.0%	3	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes2.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

3 → 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) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
70.3%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes8.0ms (0.1%)

Memory

-23.9MiB live, 15.5MiB allocated

Counts

2 → 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) (-.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:

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

Results

Accuracy	Segments	Branch
50.0%	1	`x`
50.0%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
50.0%	1	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
50.0%	1	`y`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes6.0ms (0.1%)

Memory

15.5MiB live, 15.5MiB 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
24.0%	1	`y`
24.0%	1	`x`
24.0%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
24.0%	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)

bsearch56.0ms (0.9%)

Memory

2.1MiB live, 84.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.5809780882974105e-25	3.4242386194487974e-13
14.0ms	-21257.31850426973	-799.9668643354628

Samples

20.0ms

272×

valid

Compiler

Compiled 694 to 576 computations (17% saved)

Precisions

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

const: 5.0ms (35.3% of total)

ival-sub: 3.0ms (21.2% of total)

ival-add: 3.0ms (21.2% of total)

ival-mult: 3.0ms (21.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch33.0ms (0.5%)

Memory

-18.6MiB live, 59.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.005294784695729e-10	1.335349777693892e-7
15.0ms	-2089832770.8646414	-456760.8181355088

Samples

19.0ms

256×

valid

Compiler

Compiled 686 to 559 computations (18.5% saved)

Precisions

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

ival-sub: 4.0ms (31% of total)

const: 4.0ms (31% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch20.0ms (0.3%)

Memory

-3.5MiB live, 35.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	478033096.3769663	54212773121390.02
1.0ms	-2089832770.8646414	-456760.8181355088

Samples

10.0ms

144×

valid

Compiler

Compiled 677 to 559 computations (17.4% saved)

Precisions

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

ival-mult: 2.0ms (30.9% of total)

const: 2.0ms (30.9% of total)

ival-sub: 1.0ms (15.4% of total)

ival-add: 1.0ms (15.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch38.0ms (0.6%)

Memory

21.4MiB live, 63.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.335349777693892e-7	478033096.3769663
15.0ms	-456760.8181355088	-0.00010920647241057595

Samples

23.0ms

304×

valid

Compiler

Compiled 641 to 566 computations (11.7% saved)

Precisions

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

const: 5.0ms (36.5% of total)

ival-mult: 4.0ms (29.2% of total)

ival-sub: 3.0ms (21.9% of total)

ival-add: 1.0ms (7.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch3.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.335349777693892e-7	478033096.3769663
1.0ms	-456760.8181355088	-0.00010920647241057595

Compiler

Compiled 641 to 585 computations (8.7% saved)

bsearch45.0ms (0.7%)

Memory

-20.6MiB live, 53.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	3.4242386194487974e-13	14365.55008049596
20.0ms	-1.7277636117579556	-4.580575392085138e-8

Samples

25.0ms

304×

valid

Compiler

Compiled 622 to 566 computations (9% saved)

Precisions

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

ival-add: 6.0ms (33.1% of total)

const: 5.0ms (27.6% of total)

ival-mult: 4.0ms (22.1% of total)

ival-sub: 3.0ms (16.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch13.0ms (0.2%)

Memory

21.5MiB live, 21.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.335349777693892e-7	478033096.3769663
10.0ms	-1.697633755873128e-7	-3.984230856415083e-8

Samples

7.0ms

96×

valid

Compiler

Compiled 570 to 499 computations (12.5% saved)

Precisions

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

const: 2.0ms (45.1% of total)

ival-sub: 1.0ms (22.6% of total)

ival-mult: 1.0ms (22.6% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch9.0ms (0.2%)

Memory

14.7MiB live, 14.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	3.4242386194487974e-13	14365.55008049596
1.0ms	-21257.31850426973	-799.9668643354628

Samples

4.0ms

64×

valid

Compiler

Compiled 592 to 525 computations (11.3% saved)

Precisions

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

ival-sub: 1.0ms (35.8% of total)

ival-mult: 1.0ms (35.8% of total)

const: 1.0ms (35.8% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch22.0ms (0.4%)

Memory

-10.9MiB live, 26.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	3.4242386194487974e-13	14365.55008049596
16.0ms	-799.9668643354628	-11.183960334043462

Samples

14.0ms

144×

valid

Compiler

Compiled 626 to 525 computations (16.1% saved)

Precisions

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

ival-mult: 2.0ms (31.1% of total)

const: 2.0ms (31.1% of total)

ival-sub: 1.0ms (15.5% of total)

ival-add: 1.0ms (15.5% of total)

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

exact: 0.0ms (0% of total)

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

simplify31.0ms (0.5%)

Memory

10.1MiB live, 53.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	610
1	117	610
2	136	610
3	150	610
4	177	610
5	222	610

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)))
(if (<=.f64 y #s(literal -800 binary64)) (+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64)) (if (<=.f64 y #s(literal 6734393813712469/19807040628566084398385987584 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(approx (- 1/2 x) (neg.f64 x)) y x))) (+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64))))
(if (<=.f64 x #s(literal -13200000 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) (if (<=.f64 x #s(literal 4911261142184431/37778931862957161709568 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(approx (- 1/2 x) #s(literal 1/2 binary64)) y x))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(approx (- 1/2 x) (neg.f64 x)) y x)))))
(if (<=.f64 x #s(literal -13200000 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) (if (<=.f64 x #s(literal 560000000 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(approx (- 1/2 x) #s(literal 1/2 binary64)) y x))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x)))))
(if (<=.f64 x #s(literal -3152519739159347/4503599627370496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) (if (<=.f64 x #s(literal 5584463537939415/9007199254740992 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) (fma.f64 y x (neg.f64 x)))))
(if (<=.f64 x #s(literal -3152519739159347/4503599627370496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 (-.f64 y #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 5584463537939415/9007199254740992 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) (*.f64 (-.f64 y #s(literal 1 binary64)) x))))
(if (<=.f64 y #s(literal -6980579422424269/4503599627370496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) (if (<=.f64 y #s(literal 3039929748475085/2251799813685248 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))))
(if (<=.f64 x #s(literal -4533471823554859/75557863725914323419136 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 x #s(literal 5584463537939415/9007199254740992 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) (*.f64 y x)))))
(if (<=.f64 y #s(literal -800 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))))
(if (<=.f64 y #s(literal -120 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (.f64 y x))) (if (<=.f64 y #s(literal 2589569785738035/2251799813685248 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 y x)))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#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) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) x) y x)))
(if (<=.f64 y #s(literal -800 binary64)) (+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64)) (if (<=.f64 y #s(literal 6734393813712469/19807040628566084398385987584 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(approx (- 1/2 x) (neg.f64 x)) y x))) (+.f64 #s(approx (- (* x (- y 1)) (* y 1/2)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(literal 918938533204673/1000000000000000 binary64))))
(if (<=.f64 x #s(literal -13200000 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) (if (<=.f64 x #s(literal 4911261142184431/37778931862957161709568 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(approx (- 1/2 x) #s(literal 1/2 binary64)) y x))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(approx (- 1/2 x) (neg.f64 x)) y x)))))
(if (<=.f64 x #s(literal -13200000 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) (if (<=.f64 x #s(literal 560000000 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(approx (- 1/2 x) #s(literal 1/2 binary64)) y x))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x)))))
(if (<=.f64 x #s(literal -3152519739159347/4503599627370496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 y x (neg.f64 x))) (if (<=.f64 x #s(literal 5584463537939415/9007199254740992 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) (fma.f64 y x (neg.f64 x)))))
(if (<=.f64 x #s(literal -3152519739159347/4503599627370496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 (-.f64 y #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 5584463537939415/9007199254740992 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) (*.f64 (-.f64 y #s(literal 1 binary64)) x))))
(if (<=.f64 y #s(literal -6980579422424269/4503599627370496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) (if (<=.f64 y #s(literal 3039929748475085/2251799813685248 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))))
(if (<=.f64 x #s(literal -4533471823554859/75557863725914323419136 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 x #s(literal 5584463537939415/9007199254740992 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) (*.f64 y x)))))
(if (<=.f64 y #s(literal -800 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))))
(if (<=.f64 y #s(literal -120 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (.f64 y x))) (if (<=.f64 y #s(literal 2589569785738035/2251799813685248 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 y x)))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))

soundness1.6s (25.9%)

Memory

4.5MiB live, 675.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	168
0	40	168
1	184	168
2	1487	168
0	8354	158
0	126	322
1	414	310
2	1169	286
3	3382	286
4	6754	286
0	8062	267
0	76	181
1	232	180
2	695	156
3	1800	156
4	6371	156
0	8162	149
0	148	409
1	479	397
2	1335	355
3	3886	355
4	7042	355
0	8082	330

Stop Event

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

Compiler

Compiled 802 to 288 computations (64.1% saved)

preprocess58.0ms (0.9%)

Memory: -6.8MiB live, 110.2MiB allocated
Compiler: Compiled 1 242 to 214 computations (82.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (20.8%)

explain227.0ms (3.7%)

preprocess139.0ms (2.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify53.0ms (0.9%)

localize65.0ms (1%)

series31.0ms (0.5%)

simplify295.0ms (4.8%)

rewrite262.0ms (4.2%)

eval113.0ms (1.8%)

prune7.0ms (0.1%)

simplify45.0ms (0.7%)

localize96.0ms (1.5%)

series9.0ms (0.1%)

simplify131.0ms (2.1%)

rewrite280.0ms (4.5%)

eval123.0ms (2%)

prune12.0ms (0.2%)

simplify59.0ms (1%)

localize92.0ms (1.5%)

series6.0ms (0.1%)

simplify107.0ms (1.7%)

rewrite196.0ms (3.2%)

eval45.0ms (0.7%)

prune11.0ms (0.2%)

simplify59.0ms (0.9%)

localize48.0ms (0.8%)

series7.0ms (0.1%)

simplify112.0ms (1.8%)

rewrite200.0ms (3.2%)

eval32.0ms (0.5%)

prune9.0ms (0.1%)

regimes24.0ms (0.4%)

regimes19.0ms (0.3%)

regimes9.0ms (0.1%)

regimes4.0ms (0.1%)

regimes9.0ms (0.1%)

regimes3.0ms (0.1%)

regimes6.0ms (0.1%)

regimes11.0ms (0.2%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch56.0ms (0.9%)

bsearch33.0ms (0.5%)

bsearch20.0ms (0.3%)

bsearch38.0ms (0.6%)

bsearch3.0ms (0%)

bsearch45.0ms (0.7%)

bsearch13.0ms (0.2%)

bsearch9.0ms (0.2%)

bsearch22.0ms (0.4%)

simplify31.0ms (0.5%)

soundness1.6s (25.9%)

preprocess58.0ms (0.9%)

end0.0ms (0%)

Profiling