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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory

1.4MiB live, 1.4MiB 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)

sample1.7s (28.2%)

Memory

41.6MiB live, 1 460.0MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 729.0ms

ival-mult: 245.0ms (33.6% of total)

const: 230.0ms (31.6% of total)

ival-sub: 191.0ms (26.2% of total)

ival-add: 42.0ms (5.8% of total)

exact: 10.0ms (1.4% of total)

ival-true: 7.0ms (1% of total)

ival-assert: 4.0ms (0.5% of total)

Bogosity

explain290.0ms (4.9%)

Memory

-41.0MiB live, 264.8MiB 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

104.0ms

512×

valid

Compiler

Compiled 87 to 34 computations (60.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

const: 38.0ms (69.8% of total)

ival-mult: 7.0ms (12.9% of total)

ival-sub: 5.0ms (9.2% of total)

ival-add: 2.0ms (3.7% of total)

ival-true: 1.0ms (1.8% of total)

exact: 1.0ms (1.8% of total)

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

preprocess20.0ms (0.3%)

Memory

28.5MiB live, 28.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	61
1	57	61
2	115	58
3	218	57
4	308	57
5	352	57
0	10	11
0	15	11
1	25	11
2	40	11
3	67	11
4	92	11
5	122	11
6	125	11
0	125	9

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.4MiB live, 1.4MiB 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)

simplify6.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
0	15	36
1	25	36
2	40	36
3	67	36
4	92	36
5	122	36
6	125	36
0	125	33

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

localize62.0ms (1.1%)

Memory

-20.3MiB live, 75.0MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

50.0ms

256×

valid

Compiler

Compiled 38 to 12 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 31.0ms (74.7% of total)

const: 6.0ms (14.5% of total)

ival-sub: 3.0ms (7.2% of total)

ival-add: 1.0ms (2.4% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated

Counts

5 → 29

Calls

Call 1

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

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

Calls

6 calls:

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

simplify141.0ms (2.4%)

Memory

-11.4MiB live, 132.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	190
1	250	189
2	825	189
3	2632	165
4	6486	165
0	8073	158

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 28

Calls

Call 1

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

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

rewrite247.0ms (4.2%)

Memory

-17.4MiB live, 217.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
0	15	31
1	65	31
2	472	31
3	6426	31
0	8180	28

Stop Event

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

Counts

5 → 212

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64))) (+.f64 (fma.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 2 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 2 binary64)) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x))))))
(.f64 (/.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)))) (-.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 #s(literal 918938533204673/1000000000000000 binary64) (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 2 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) (fma.f64 #s(literal -1/2 binary64) y (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))))
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eval28.0ms (0.5%)

Memory: 26.1MiB live, 72.3MiB allocated
Compiler: Compiled 8 181 to 884 computations (89.2% saved)

prune8.0ms (0.1%)

Memory

-36.6MiB live, 19.6MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	221	5	226
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	222	5	227

Accuracy

100.0%

Counts

227 → 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)))
▶	100.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (+.f64 #s(literal -1/2 binary64) x) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
▶	48.7%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
▶	50.3%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
▶	51.7%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))

Compiler

Compiled 154 to 130 computations (15.6% saved)

simplify38.0ms (0.6%)

Memory

12.6MiB live, 59.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	23	130
0	34	131
1	57	123
2	99	123
3	207	123
4	328	123
5	422	123
6	511	123
7	613	123
8	718	117
9	998	117
10	1245	117
11	1512	117
12	1693	117
13	1781	117
14	1785	117
0	1785	117

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize55.0ms (0.9%)

Memory

17.7MiB live, 108.8MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
accuracy	0.0	(+.f64 #s(literal -1/2 binary64) x)
accuracy	0.0	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (+.f64 #s(literal -1/2 binary64) x) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
accuracy	0.00390625	(fma.f64 (+.f64 #s(literal -1/2 binary64) x) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
accuracy	0.0	(-.f64 x #s(literal 1/2 binary64))
accuracy	0.0078125	(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
accuracy	30.902834661990855	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
accuracy	0.0	(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
accuracy	32.807334251246445	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
accuracy	0.0	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
accuracy	31.832874880702267	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
accuracy	0.0	(fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
accuracy	0.0	(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
accuracy	0.0	(-.f64 y #s(literal 1 binary64))

Samples

44.0ms

256×

valid

Compiler

Compiled 113 to 23 computations (79.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 11.0ms (39.1% of total)

ival-sub: 7.0ms (24.9% of total)

ival-add: 5.0ms (17.8% of total)

const: 5.0ms (17.8% 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

14.4MiB live, 14.4MiB allocated

Counts

12 → 42

Calls

Call 1

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

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

Calls

6 calls:

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

simplify127.0ms (2.2%)

Memory

-8.3MiB live, 135.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	264
1	377	261
2	1194	261
3	4117	235
4	7780	235
0	8115	219

Stop Event

1×	iter limit
1×	node limit

Counts

42 → 40

Calls

Call 1

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

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

rewrite221.0ms (3.8%)

Memory

-13.3MiB live, 323.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	106
0	34	106
1	169	98
2	1271	98
0	8184	98

Stop Event

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

Counts

12 → 333

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 x (-.f64 y #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 918938533204673/1000000000000000 binary64)))) (/.f64 (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 x (-.f64 y #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 918938533204673/1000000000000000 binary64))))) (.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (fma.f64 x (-.f64 y #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 918938533204673/1000000000000000 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (fma.f64 x (-.f64 y #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 918938533204673/1000000000000000 binary64)))))) (+.f64 (/.f64 (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 x (-.f64 y #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 918938533204673/1000000000000000 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (fma.f64 x (-.f64 y #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 918938533204673/1000000000000000 binary64))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))))) (.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))))) (+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 (-.f64 y #s(literal 1 binary64))) x) (.f64 (neg.f64 (-.f64 y #s(literal 1 binary64))) x))) (+.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (.f64 (neg.f64 (-.f64 y #s(literal 1 binary64))) x)))
(/.f64 (-.f64 (.f64 (fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64))) (-.f64 (fma.f64 x (-.f64 y #s(literal 1 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 #s(literal -1/2 binary64) y)))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (-.f64 y #s(literal 1 binary64)))) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (-.f64 y #s(literal 1 binary64))))) (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64))) (+.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (-.f64 y #s(literal 1 binary64)))) (.f64 #s(literal 1/2 binary64) y)))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (-.f64 y #s(literal 1 binary64)))) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (-.f64 y #s(literal 1 binary64))))) (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64))) (-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (-.f64 y #s(literal 1 binary64)))) (.f64 (neg.f64 y) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (.f64 x (-.f64 y #s(literal 1 binary64)))) (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (.f64 x (-.f64 y #s(literal 1 binary64)))) (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (.f64 x (-.f64 y #s(literal 1 binary64)))) (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (.f64 x (-.f64 y #s(literal 1 binary64)))) (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (.f64 x (-.f64 y #s(literal 1 binary64)))) (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) (.f64 x (-.f64 y #s(literal 1 binary64)))) (pow.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 918938533204673/1000000000000000 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 918938533204673/1000000000000000 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64))))) (.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 918938533204673/1000000000000000 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 918938533204673/1000000000000000 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 918938533204673/1000000000000000 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 918938533204673/1000000000000000 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 (neg.f64 y) #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 (neg.f64 y) #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))) (-.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 (neg.f64 y) #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (-.f64 y #s(literal 1 binary64)))) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (-.f64 y #s(literal 1 binary64)))))) (-.f64 (.f64 #s(literal -1/2 binary64) y) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (-.f64 y #s(literal 1 binary64))))))
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eval51.0ms (0.9%)

Memory: 28.0MiB live, 119.9MiB allocated
Compiler: Compiled 16 812 to 1 510 computations (91% saved)

prune13.0ms (0.2%)

Memory

-7.4MiB live, 43.4MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	406	5	411
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	407	9	416

Accuracy

100.0%

Counts

416 → 9

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)))
✓	48.7%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
✓	50.3%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
✓	51.7%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
▶	25.3%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
▶	26.2%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
▶	25.7%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
▶	51.8%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (+ (* (+ -1/2 x) y) (- 918938533204673/1000000000000000 x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x)))
▶	28.1%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 x y)))

Compiler

Compiled 261 to 205 computations (21.5% saved)

simplify41.0ms (0.7%)

Memory

-10.1MiB live, 28.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	171
0	37	171
1	55	171
2	82	171
3	160	171
4	293	171
5	427	171
6	513	171
7	631	171
8	736	161
9	1020	161
10	1267	161
11	1550	161
12	1761	161
13	1855	161
14	1859	161
0	1859	154

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

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

localize100.0ms (1.7%)

Memory

8.7MiB live, 148.8MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)
accuracy	30.902834661990855	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
accuracy	32.84927070180738	#s(approx (- x 1/2) #s(literal -1/2 binary64))
accuracy	0.0	(*.f64 x y)
accuracy	30.534650606400984	#s(approx (* (- x 1/2) y) (*.f64 x y))
accuracy	30.902834661990855	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 x y)))
accuracy	0.0	(neg.f64 x)
accuracy	30.72434223177428	#s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))
accuracy	31.832874880702267	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
accuracy	31.832874880702267	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
accuracy	32.81804395986692	#s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))
accuracy	0.0	(-.f64 y #s(literal 1 binary64))
accuracy	0.0	(*.f64 (-.f64 y #s(literal 1 binary64)) x)
accuracy	0.0	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (+ (* (+ -1/2 x) y) (- 918938533204673/1000000000000000 x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x)))
accuracy	30.818400140437415	#s(approx (+ (* (+ -1/2 x) y) (- 918938533204673/1000000000000000 x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x))

Samples

82.0ms

256×

valid

Compiler

Compiled 107 to 22 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 33.0ms (50.2% of total)

ival-add: 21.0ms (32% of total)

ival-sub: 5.0ms (7.6% of total)

const: 5.0ms (7.6% of total)

ival-neg: 1.0ms (1.5% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

21.1MiB live, 21.1MiB allocated

Counts

15 → 42

Calls

Call 1

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

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

Calls

6 calls:

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

simplify246.0ms (4.2%)

Memory

-11.6MiB live, 223.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	253
1	382	253
2	1249	253
3	4246	229
4	7890	229
0	8083	215

Stop Event

1×	iter limit
1×	node limit

Counts

42 → 40

Calls

Call 1

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

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

rewrite273.0ms (4.7%)

Memory

9.9MiB live, 274.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	162
0	37	162
1	140	162
2	952	162
0	8200	155

Stop Event

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

Counts

15 → 43

Calls

Call 1

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

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

eval8.0ms (0.1%)

Memory: 20.5MiB live, 20.5MiB allocated
Compiler: Compiled 1 995 to 268 computations (86.6% saved)

prune38.0ms (0.7%)

Memory

-35.9MiB live, 25.0MiB allocated

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	0	0
Picked	0	5	5
Done	0	4	4
Total	63	9	72

Accuracy

100.0%

Counts

72 → 9

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)))
✓	48.7%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
✓	50.3%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
✓	51.7%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
✓	25.3%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y))
✓	26.2%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
✓	25.7%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
✓	51.8%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (+ (* (+ -1/2 x) y) (- 918938533204673/1000000000000000 x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x)))
✓	28.1%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 x y)))

Compiler

Compiled 349 to 178 computations (49% saved)

regimes56.0ms (1%)

Memory

12.2MiB live, 54.5MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

4 calls:

44.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
4.0ms	y
4.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
4.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
100.0%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes33.0ms (0.6%)

Memory

-1.9MiB live, 42.9MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

23.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
3.0ms	y
3.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
3.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
100.0%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes13.0ms (0.2%)

Memory

32.2MiB live, 32.2MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

4 calls:

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

Results

Accuracy	Segments	Branch
78.5%	3	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
78.5%	3	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
97.3%	3	`x`
98.5%	3	`y`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes24.0ms (0.4%)

Memory

-32.2MiB live, 12.8MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

21.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
97.3%	3	`x`
78.4%	4	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes10.0ms (0.2%)

Memory

22.3MiB live, 22.3MiB allocated

Counts

6 → 4

Calls

Call 1

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
78.2%	4	`y`
66.3%	4	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
66.3%	4	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
75.8%	4	`x`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes3.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

5 → 4

Calls

Call 1

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
77.6%	4	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes2.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
75.2%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes149.0ms (2.5%)

Memory

-4.0MiB live, 44.9MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

143.0ms	y
2.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
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
50.3%	1	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
50.3%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
50.3%	1	`x`
50.3%	1	`y`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes23.0ms (0.4%)

Memory

-39.4MiB live, 13.4MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs

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

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
48.7%	3	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
48.7%	3	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
48.8%	3	`x`
29.8%	2	`y`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes5.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB 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	x
1.0ms	y

Results

Accuracy	Segments	Branch
25.7%	1	`y`
25.7%	1	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
25.7%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
25.7%	1	`x`

Compiler

Compiled 22 to 22 computations (0% saved)

bsearch39.0ms (0.7%)

Memory

15.7MiB live, 62.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.0822484073645374	11.874638991190182
22.0ms	-14545311892.957853	-3.522522870299015e-10

Samples

21.0ms

288×

valid

Compiler

Compiled 590 to 537 computations (9% saved)

Precisions

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

const: 5.0ms (35.8% of total)

ival-mult: 4.0ms (28.7% of total)

ival-sub: 3.0ms (21.5% of total)

ival-add: 1.0ms (7.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch59.0ms (1%)

Memory

9.5MiB live, 56.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.4995653338906194	281.0355445572398
41.0ms	-37623555.542907365	-0.2412986389596484

Samples

44.0ms

272×

valid

Compiler

Compiled 745 to 627 computations (15.8% saved)

Precisions

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

const: 5.0ms (37.7% of total)

ival-sub: 3.0ms (22.6% of total)

ival-mult: 3.0ms (22.6% of total)

ival-add: 1.0ms (7.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch56.0ms (1%)

Memory

-1.6MiB live, 47.5MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
7.0ms	1.0422187616586614e+108	1.8459815896895097e+108
18.0ms	5.302849278421291e-20	0.0004044888975692614
26.0ms	-43188124764.035934	-14545311892.957853

Samples

39.0ms

304×

valid

Compiler

Compiled 652 to 579 computations (11.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 20.0ms (63.2% of total)

const: 6.0ms (19% of total)

ival-sub: 3.0ms (9.5% of total)

ival-add: 2.0ms (6.3% 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

3.7MiB live, 3.7MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
0.0ms	1.0422187616586614e+108	1.8459815896895097e+108
1.0ms	0.0822484073645374	11.874638991190182
1.0ms	-43188124764.035934	-14545311892.957853

Compiler

Compiled 592 to 503 computations (15% saved)

bsearch2.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0822484073645374	11.874638991190182
1.0ms	-43188124764.035934	-14545311892.957853

Compiler

Compiled 446 to 375 computations (15.9% saved)

bsearch63.0ms (1.1%)

Memory

-12.7MiB live, 31.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.4995653338906194	281.0355445572398
53.0ms	-804281939119.8599	-37623555.542907365

Samples

52.0ms

192×

valid

Compiler

Compiled 574 to 495 computations (13.8% saved)

Precisions

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

const: 4.0ms (41.2% of total)

ival-mult: 3.0ms (30.9% of total)

ival-sub: 2.0ms (20.6% of total)

ival-add: 1.0ms (10.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify67.0ms (1.1%)

Memory

-23.2MiB live, 21.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	75	416
1	111	416
2	147	416
3	257	416
4	408	416
5	590	416
6	672	416
7	794	416
8	918	416
9	1240	416
10	1777	378
11	2272	378
12	2820	378
13	3200	378
14	3208	378
15	3208	378

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (+.f64 #s(literal -1/2 binary64) x) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(if (<=.f64 y #s(literal -3039929748475085/2251799813685248 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) (if (<=.f64 y #s(literal 8106479329266893/4503599627370496 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))))
(if (<=.f64 x #s(literal -3242591731706757/4503599627370496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (+ (* (+ -1/2 x) y) (- 918938533204673/1000000000000000 x)) (.f64 (-.f64 y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 6124895493223875/9007199254740992 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 (+ (* (+ -1/2 x) y) (- 918938533204673/1000000000000000 x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x)))))
(if (<=.f64 y #s(literal -14600000000 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (.f64 x y))) (if (<=.f64 y #s(literal 8160249282398747/604462909807314587353088 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 y #s(literal 1399999999999999891154225415715423007504935737757814498046030367229121331556894656193354441108767789404913664 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 x y))))))
(if (<=.f64 y #s(literal -14600000000 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (.f64 x y))) (if (<=.f64 y #s(literal 8106479329266893/4503599627370496 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 y #s(literal 1399999999999999891154225415715423007504935737757814498046030367229121331556894656193354441108767789404913664 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 x y))))))
(if (<=.f64 y #s(literal -14600000000 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (.f64 x y))) (if (<=.f64 y #s(literal 8106479329266893/4503599627370496 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 x y)))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(if (<=.f64 x #s(literal -38000000 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) (if (<=.f64 x #s(literal 8286623314361713/9007199254740992 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))

Outputs
(fma.f64 (-.f64 y #s(literal 1 binary64)) x (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (+.f64 #s(literal -1/2 binary64) x) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(if (<=.f64 y #s(literal -3039929748475085/2251799813685248 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) (if (<=.f64 y #s(literal 8106479329266893/4503599627370496 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))))
(if (or (<=.f64 y #s(literal -3039929748475085/2251799813685248 binary64)) (not (<=.f64 y #s(literal 8106479329266893/4503599627370496 binary64)))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(if (<=.f64 x #s(literal -3242591731706757/4503599627370496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (+ (* (+ -1/2 x) y) (- 918938533204673/1000000000000000 x)) (.f64 (-.f64 y #s(literal 1 binary64)) x))) (if (<=.f64 x #s(literal 6124895493223875/9007199254740992 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 (+ (* (+ -1/2 x) y) (- 918938533204673/1000000000000000 x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x)))))
(if (or (<=.f64 x #s(literal -3242591731706757/4503599627370496 binary64)) (not (<=.f64 x #s(literal 6124895493223875/9007199254740992 binary64)))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (+ (* (+ -1/2 x) y) (- 918938533204673/1000000000000000 x)) (.f64 (-.f64 y #s(literal 1 binary64)) x))) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))))
(if (<=.f64 y #s(literal -14600000000 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (.f64 x y))) (if (<=.f64 y #s(literal 8160249282398747/604462909807314587353088 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 y #s(literal 1399999999999999891154225415715423007504935737757814498046030367229121331556894656193354441108767789404913664 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 x y))))))
(if (<=.f64 y #s(literal -14600000000 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (.f64 x y))) (if (<=.f64 y #s(literal 8106479329266893/4503599627370496 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 y #s(literal 1399999999999999891154225415715423007504935737757814498046030367229121331556894656193354441108767789404913664 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 #s(approx (- x 1/2) #s(literal -1/2 binary64)) y)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 x y))))))
(if (<=.f64 y #s(literal -14600000000 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (.f64 x y))) (if (<=.f64 y #s(literal 8106479329266893/4503599627370496 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 x y)))))
(if (or (<=.f64 y #s(literal -14600000000 binary64)) (not (<=.f64 y #s(literal 8106479329266893/4503599627370496 binary64)))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (.f64 x y))) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(if (<=.f64 x #s(literal -38000000 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) (if (<=.f64 x #s(literal 8286623314361713/9007199254740992 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))))
(if (or (<=.f64 x #s(literal -38000000 binary64)) (not (<=.f64 x #s(literal 8286623314361713/9007199254740992 binary64)))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))

soundness1.5s (25.9%)

Memory

41.4MiB live, 698.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
0	15	31
1	65	31
2	472	31
3	6426	31
0	8180	28
0	113	264
1	377	261
2	1194	261
3	4117	235
4	7780	235
0	8115	219
0	76	190
1	250	189
2	825	189
3	2632	165
4	6486	165
0	8073	158

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

Compiler

Compiled 534 to 209 computations (60.9% saved)

preprocess51.0ms (0.9%)

Memory: 8.1MiB live, 99.5MiB allocated
Compiler: Compiled 854 to 184 computations (78.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	24	61
1	57	61
2	115	58
3	218	57
4	308	57
5	352	57
0	10	11
0	15	11
1	25	11
2	40	11
3	67	11
4	92	11
5	122	11
6	125	11
0	125	9

Iter	Nodes	Cost
0	24	61
1	57	61
2	115	58
3	218	57
4	308	57
5	352	57
0	10	11
0	15	11
1	25	11
2	40	11
3	67	11
4	92	11
5	122	11
6	125	11
0	125	9

start0.0ms (0%)

analyze1.0ms (0%)

sample1.7s (28.2%)

explain290.0ms (4.9%)

preprocess20.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0.1%)

localize62.0ms (1.1%)

series6.0ms (0.1%)

simplify141.0ms (2.4%)

rewrite247.0ms (4.2%)

eval28.0ms (0.5%)

prune8.0ms (0.1%)

simplify38.0ms (0.6%)

localize55.0ms (0.9%)

series7.0ms (0.1%)

simplify127.0ms (2.2%)

rewrite221.0ms (3.8%)

eval51.0ms (0.9%)

prune13.0ms (0.2%)

simplify41.0ms (0.7%)

localize100.0ms (1.7%)

series8.0ms (0.1%)

simplify246.0ms (4.2%)

rewrite273.0ms (4.7%)

eval8.0ms (0.1%)

prune38.0ms (0.7%)

regimes56.0ms (1%)

regimes33.0ms (0.6%)

regimes13.0ms (0.2%)

regimes24.0ms (0.4%)

regimes10.0ms (0.2%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes149.0ms (2.5%)

regimes23.0ms (0.4%)

regimes5.0ms (0.1%)

bsearch39.0ms (0.7%)

bsearch59.0ms (1%)

bsearch56.0ms (1%)

bsearch3.0ms (0%)

bsearch2.0ms (0%)

bsearch63.0ms (1.1%)

simplify67.0ms (1.1%)

soundness1.5s (25.9%)

preprocess51.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	24	61
1	57	61
2	115	58
3	218	57
4	308	57
5	352	57
0	10	11
0	15	11
1	25	11
2	40	11
3	67	11
4	92	11
5	122	11
6	125	11
0	125	9