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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample1.5s (27.6%)

Memory

17.7MiB live, 1 959.6MiB allocated; 435ms collecting garbage

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 873.0ms

const: 306.0ms (35.1% of total)

ival-mult: 219.0ms (25.1% of total)

ival-add: 192.0ms (22% of total)

ival-sub: 134.0ms (15.4% of total)

exact: 9.0ms (1% of total)

ival-true: 6.0ms (0.7% of total)

adjust: 3.0ms (0.3% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain123.0ms (2.2%)

Memory

3.1MiB live, 264.1MiB allocated; 35ms collecting garbage

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

40.0ms

512×

valid

Compiler

Compiled 87 to 34 computations (60.9% saved)

Precisions

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

const: 9.0ms (37.4% of total)

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

ival-sub: 5.0ms (20.8% of total)

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

exact: 1.0ms (4.2% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess61.0ms (1.1%)

Memory

-13.4MiB live, 31.6MiB allocated; 10ms collecting garbage

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify6.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated; 0ms collecting garbage

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)

localize50.0ms (0.9%)

Memory

-11.1MiB live, 79.1MiB allocated; 17ms collecting garbage

Localize:

Found 4 expressions of interest:

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

Samples

44.0ms

256×

valid

Compiler

Compiled 38 to 12 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 22.0ms (61.9% of total)

ival-sub: 6.0ms (16.9% of total)

const: 6.0ms (16.9% of total)

ival-add: 1.0ms (2.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated; 0ms collecting garbage

Counts

5 → 29

Calls

Call 1

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

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

Calls

6 calls:

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

simplify158.0ms (2.8%)

Memory

-20.7MiB live, 118.5MiB allocated; 31ms collecting garbage

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)))

rewrite278.0ms (5%)

Memory

-0.1MiB live, 191.8MiB allocated; 34ms collecting garbage

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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eval31.0ms (0.6%)

Memory: 27.4MiB live, 68.7MiB allocated; 10ms collecting garbage
Compiler: Compiled 8 181 to 884 computations (89.2% saved)

prune15.0ms (0.3%)

Memory

-50.2MiB live, 17.0MiB allocated; 16ms collecting garbage

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 y #s(literal -1/2 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #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)))
▶	50.8%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
▶	46.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
▶	53.8%	#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)

simplify71.0ms (1.3%)

Memory

22.2MiB live, 65.8MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	24	132
0	37	131
1	62	123
2	104	123
3	212	123
4	330	123
5	426	123
6	519	123
7	621	123
8	726	119
9	1010	119
10	1257	119
11	1524	119
12	1706	119
13	1794	119
14	1798	119
0	1798	119

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize154.0ms (2.7%)

Memory

2.8MiB live, 93.8MiB allocated; 9ms collecting garbage

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 y #s(literal 1 binary64))
accuracy	0.00390625	(fma.f64 y #s(literal -1/2 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)))
accuracy	0.0078125	(fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64))
accuracy	0.0	(-.f64 x #s(literal 1/2 binary64))
accuracy	0.0078125	(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
accuracy	29.587011739816695	#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	31.503851464044917	#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	33.96047298200054	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
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	0.01171875	(fma.f64 (+.f64 #s(literal -1/2 binary64) x) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))

Samples

111.0ms

256×

valid

Compiler

Compiled 115 to 25 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-mult: 80.0ms (82.2% of total)

ival-add: 6.0ms (6.2% of total)

const: 6.0ms (6.2% of total)

ival-sub: 5.0ms (5.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated; 0ms collecting garbage

Counts

13 → 48

Calls

Call 1

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

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

simplify150.0ms (2.7%)

Memory

-12.4MiB live, 126.7MiB allocated; 23ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	123	306
1	412	303
2	1323	303
3	4634	277
0	8417	255

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 46

Calls

Call 1

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

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

rewrite277.0ms (4.9%)

Memory

31.7MiB live, 222.6MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	112
0	37	112
1	189	104
2	1360	104
0	8229	104

Stop Event

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

Counts

13 → 367

Calls

Call 1

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

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

eval111.0ms (2%)

Memory: -2.9MiB live, 99.8MiB allocated; 11ms collecting garbage
Compiler: Compiled 17 121 to 1 637 computations (90.4% saved)

prune33.0ms (0.6%)

Memory

-21.3MiB live, 23.6MiB allocated; 4ms collecting garbage

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	403	8	411
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	404	12	416

Accuracy

100.0%

Counts

416 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y #s(literal -1/2 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)))
▶	77.1%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (+.f64 #s(literal -1/2 binary64) x) y #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))))
	73.5%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(approx (+ -1/2 x) #s(literal -1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
✓	50.8%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
▶	100.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) x) y #s(literal 918938533204673/1000000000000000 binary64)) x))
✓	46.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
✓	53.8%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
▶	50.8%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (+.f64 #s(literal -1 binary64) y) x))
	25.2%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
▶	24.1%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
	27.5%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 y x)))
▶	28.5%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 #s(literal -1/2 binary64) y)))

Compiler

Compiled 375 to 297 computations (20.8% saved)

simplify59.0ms (1%)

Memory

-14.0MiB live, 31.8MiB allocated; 3ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	175
0	40	175
1	59	175
2	94	175
3	221	160
4	386	160
5	656	160
6	1104	160
7	1482	160
8	1718	160
9	1737	160
0	1737	160

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize76.0ms (1.4%)

Memory

31.5MiB live, 77.3MiB allocated; 4ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 x)
accuracy	0.0	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (+.f64 #s(literal -1/2 binary64) x) y #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))))
accuracy	0.01171875	(fma.f64 (+.f64 #s(literal -1/2 binary64) x) y #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
accuracy	31.43581233000155	#s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))
accuracy	0.0	(+.f64 #s(literal -1 binary64) y)
accuracy	0.0078125	(*.f64 (+.f64 #s(literal -1 binary64) y) x)
accuracy	31.496249009332967	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (+.f64 #s(literal -1 binary64) y) x))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	29.587011739816695	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 #s(literal -1/2 binary64) y)))
accuracy	31.37564002796604	#s(approx (* (- x 1/2) y) (*.f64 #s(literal -1/2 binary64) y))
accuracy	31.516677178418924	#s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))
accuracy	33.96047298200054	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
accuracy	0.0	(+.f64 #s(literal -1/2 binary64) x)
accuracy	0.0	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) x) y #s(literal 918938533204673/1000000000000000 binary64)) x))
accuracy	0.0078125	(fma.f64 (+.f64 #s(literal -1/2 binary64) x) y #s(literal 918938533204673/1000000000000000 binary64))
accuracy	0.01171875	(-.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) x) y #s(literal 918938533204673/1000000000000000 binary64)) x)

Samples

63.0ms

256×

valid

Compiler

Compiled 125 to 26 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 33.0ms (66% of total)

ival-sub: 6.0ms (12% of total)

ival-add: 5.0ms (10% of total)

const: 4.0ms (8% of total)

ival-neg: 1.0ms (2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated; 0ms collecting garbage

Counts

16 → 48

Calls

Call 1

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

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

Calls

6 calls:

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

simplify117.0ms (2.1%)

Memory

-25.8MiB live, 77.8MiB allocated; 23ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	295
1	416	295
2	1347	295
3	4664	271
0	8502	251

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 46

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

rewrite347.0ms (6.2%)

Memory

-18.0MiB live, 170.7MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	159
0	40	159
1	172	159
2	1225	159
0	8776	154

Stop Event

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

Counts

16 → 197

Calls

Call 1

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

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

eval28.0ms (0.5%)

Memory: 32.1MiB live, 32.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 10 218 to 1 045 computations (89.8% saved)

prune33.0ms (0.6%)

Memory

-29.3MiB live, 17.2MiB allocated; 3ms collecting garbage

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	243	1	244
Fresh	0	3	3
Picked	0	5	5
Done	0	4	4
Total	243	13	256

Accuracy

100.0%

Counts

256 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y #s(literal -1/2 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)))
✓	77.1%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (+.f64 #s(literal -1/2 binary64) x) y #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))))
▶	73.5%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(approx (+ -1/2 x) #s(literal -1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
✓	50.8%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
✓	100.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) x) y #s(literal 918938533204673/1000000000000000 binary64)) x))
▶	50.8%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (+ (* (+ -1/2 x) y) 918938533204673/1000000000000000) (*.f64 y x)) x))
✓	46.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
✓	53.8%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
✓	50.8%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (+.f64 #s(literal -1 binary64) y) x))
▶	25.2%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
✓	24.1%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
▶	27.5%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 y x)))
✓	28.5%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 #s(literal -1/2 binary64) y)))

Compiler

Compiled 241 to 191 computations (20.7% saved)

simplify12.0ms (0.2%)

Memory

13.0MiB live, 13.0MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	160
0	36	160
1	55	160
2	87	160
3	161	160
4	259	160
5	331	160
6	364	160
7	396	160
8	404	160
0	404	149

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize63.0ms (1.1%)

Memory

24.0MiB live, 66.8MiB allocated; 9ms collecting garbage

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
accuracy	0.0	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(approx (+ -1/2 x) #s(literal -1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
accuracy	0.01171875	(fma.f64 #s(approx (+ -1/2 x) #s(literal -1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
accuracy	31.533428885767922	#s(approx (+ -1/2 x) #s(literal -1/2 binary64))
accuracy	0.0	(*.f64 y x)
accuracy	0.0	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (+ (* (+ -1/2 x) y) 918938533204673/1000000000000000) (*.f64 y x)) x))
accuracy	0.01171875	(-.f64 #s(approx (+ (* (+ -1/2 x) y) 918938533204673/1000000000000000) (*.f64 y x)) x)
accuracy	38.969752592478976	#s(approx (+ (* (+ -1/2 x) y) 918938533204673/1000000000000000) (*.f64 y x))
accuracy	0.0	(neg.f64 x)
accuracy	31.43581233000155	#s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))
accuracy	33.96047298200054	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
accuracy	0.0	(*.f64 y x)
accuracy	29.587011739816695	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 y x)))
accuracy	31.289802749386322	#s(approx (* (- x 1/2) y) (*.f64 y x))

Samples

51.0ms

256×

valid

Compiler

Compiled 102 to 23 computations (77.5% saved)

Precisions

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

ival-mult: 8.0ms (32.1% of total)

ival-sub: 7.0ms (28.1% of total)

ival-add: 4.0ms (16.1% of total)

const: 4.0ms (16.1% of total)

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.4%)

Memory

-44.3MiB live, 10.4MiB allocated; 16ms collecting garbage

Counts

13 → 40

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
17.0ms	y	@	-inf	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (* y x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (neg x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- (+ (* (+ -1/2 x) y) 918938533204673/1000000000000000) x) (+ (* (+ -1/2 x) y) 918938533204673/1000000000000000) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* (+ -1/2 x) y) (- 918938533204673/1000000000000000 x)) (+ -1/2 x) (- 918938533204673/1000000000000000 x))
1.0ms	x	@	-inf	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (* y x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (neg x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- (+ (* (+ -1/2 x) y) 918938533204673/1000000000000000) x) (+ (* (+ -1/2 x) y) 918938533204673/1000000000000000) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* (+ -1/2 x) y) (- 918938533204673/1000000000000000 x)) (+ -1/2 x) (- 918938533204673/1000000000000000 x))
1.0ms	x	@	inf	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (* y x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (neg x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- (+ (* (+ -1/2 x) y) 918938533204673/1000000000000000) x) (+ (* (+ -1/2 x) y) 918938533204673/1000000000000000) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* (+ -1/2 x) y) (- 918938533204673/1000000000000000 x)) (+ -1/2 x) (- 918938533204673/1000000000000000 x))
1.0ms	y	@	inf	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (* y x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (neg x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- (+ (* (+ -1/2 x) y) 918938533204673/1000000000000000) x) (+ (* (+ -1/2 x) y) 918938533204673/1000000000000000) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* (+ -1/2 x) y) (- 918938533204673/1000000000000000 x)) (+ -1/2 x) (- 918938533204673/1000000000000000 x))
1.0ms	x	@	0	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (* y x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 918938533204673/1000000000000000 x) (neg x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- (+ (* (+ -1/2 x) y) 918938533204673/1000000000000000) x) (+ (* (+ -1/2 x) y) 918938533204673/1000000000000000) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (+ (* (+ -1/2 x) y) (- 918938533204673/1000000000000000 x)) (+ -1/2 x) (- 918938533204673/1000000000000000 x))

simplify149.0ms (2.7%)

Memory

11.7MiB live, 101.5MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	260
1	380	260
2	1236	260
3	4391	236
0	8355	216

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 39

Calls

Call 1

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

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

rewrite182.0ms (3.2%)

Memory

8.7MiB live, 244.4MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	148
0	36	148
1	160	148
2	1155	148
0	8274	141

Stop Event

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

Counts

13 → 78

Calls

Call 1

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

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

eval12.0ms (0.2%)

Memory: 30.2MiB live, 30.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 5 067 to 418 computations (91.8% saved)

prune52.0ms (0.9%)

Memory

-51.9MiB live, 63.3MiB allocated; 32ms collecting garbage

Pruning

13 alts after pruning (0 fresh and 13 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	0	0
Picked	0	4	4
Done	0	9	9
Total	99	13	112

Accuracy

100.0%

Counts

112 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y #s(literal -1/2 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)))
✓	77.1%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (+.f64 #s(literal -1/2 binary64) x) y #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))))
✓	73.5%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(approx (+ -1/2 x) #s(literal -1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
✓	50.8%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
✓	100.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) x) y #s(literal 918938533204673/1000000000000000 binary64)) x))
✓	50.8%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(approx (+ (* (+ -1/2 x) y) 918938533204673/1000000000000000) (*.f64 y x)) x))
✓	46.9%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
✓	53.8%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
✓	50.8%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (+.f64 #s(literal -1 binary64) y) x))
✓	25.2%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
✓	24.1%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
✓	27.5%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 y x)))
✓	28.5%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 #s(literal -1/2 binary64) y)))

Compiler

Compiled 513 to 255 computations (50.3% saved)

regimes20.0ms (0.4%)

Memory

-4.0MiB live, 42.3MiB allocated; 3ms collecting garbage

Counts

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

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

Calls

4 calls:

6.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
5.0ms	y
4.0ms	x
4.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Results

Accuracy	Segments	Branch
100.0%	1	`(-.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)

regimes16.0ms (0.3%)

Memory

28.5MiB live, 28.5MiB allocated; 0ms collecting garbage

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
100.0%	1	`(-.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)

regimes17.0ms (0.3%)

Memory

-13.7MiB live, 32.9MiB allocated; 4ms collecting garbage

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

6.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
4.0ms	y
4.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
3.0ms	x

Results

Accuracy	Segments	Branch
99.8%	3	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
99.8%	3	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
99.6%	3	`x`
99.2%	3	`y`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes14.0ms (0.2%)

Memory

23.0MiB live, 23.0MiB allocated; 0ms collecting garbage

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.3%	3	`y`
98.8%	3	`x`
90.8%	3	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
90.8%	3	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes37.0ms (0.7%)

Memory

-38.3MiB live, 12.2MiB allocated; 7ms collecting garbage

Counts

9 → 3

Calls

Call 1

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

Outputs

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

Calls

2 calls:

33.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
97.1%	3	`y`
98.2%	3	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes10.0ms (0.2%)

Memory

24.5MiB live, 24.5MiB allocated; 0ms collecting garbage

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

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
71.2%	5	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
71.2%	5	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
79.3%	5	`y`
77.9%	4	`x`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes5.0ms (0.1%)

Memory

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

Counts

5 → 5

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
77.9%	5	`y`
62.7%	8	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes2.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

Counts

4 → 3

Calls

Call 1

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

Outputs

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
72.0%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.2%)

Memory

-32.2MiB live, 14.7MiB allocated; 4ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

4.0ms	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))
2.0ms	x

Results

Accuracy	Segments	Branch
46.9%	1	`x`
46.9%	1	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
46.9%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
46.9%	1	`y`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes6.0ms (0.1%)

Memory

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

Counts

2 → 3

Calls

Call 1

Inputs

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

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
46.1%	3	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
46.1%	3	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
46.4%	3	`x`
29.1%	2	`y`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes4.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
24.1%	1	`y`
24.1%	1	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
24.1%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
24.1%	1	`x`

Compiler

Compiled 22 to 22 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2763020299.046872	125269225686123890.0
0.0ms	-1.2126304649099171e+36	-8.437931394191496e+35

Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch41.0ms (0.7%)

Memory

-9.3MiB live, 38.0MiB allocated; 2ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1001.7755838503765	1872039.098704589
24.0ms	-4.0871329694220033e+27	-3.8250212114269364e+26

Samples

28.0ms

224×

valid

Compiler

Compiled 560 to 491 computations (12.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 16.0ms (69.2% of total)

const: 4.0ms (17.3% of total)

ival-sub: 2.0ms (8.7% of total)

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch46.0ms (0.8%)

Memory

-2.0MiB live, 44.2MiB allocated; 6ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	2.9906477932777394e-6	1001.7755838503765
16.0ms	-2416.0571827205617	-5.8292287741782993e-5

Samples

30.0ms

288×

valid

Compiler

Compiled 608 to 555 computations (8.7% saved)

Precisions

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

const: 5.0ms (36.8% of total)

ival-mult: 4.0ms (29.5% of total)

ival-sub: 3.0ms (22.1% of total)

ival-add: 1.0ms (7.4% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch15.0ms (0.3%)

Memory

21.2MiB live, 21.2MiB allocated; 0ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
12.0ms	3.6151437268759286e+26	3.2444295518228436e+28
1.0ms	2.9906477932777394e-6	1001.7755838503765
1.0ms	-4.0871329694220033e+27	-3.8250212114269364e+26

Samples

7.0ms

112×

valid

Compiler

Compiled 842 to 697 computations (17.2% saved)

Precisions

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

const: 2.0ms (40.1% of total)

ival-sub: 1.0ms (20.1% of total)

ival-mult: 1.0ms (20.1% of total)

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch97.0ms (1.7%)

Memory

-20.1MiB live, 77.0MiB allocated; 14ms collecting garbage

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
35.0ms	4.208784700218217e+66	6.321654089510241e+74
14.0ms	0.042596190400089	14.655273893188838
14.0ms	-277354900.7422038	-207528.8806051393
28.0ms	-3.8702108123148095e+171	-6.541093122642303e+170

Samples

52.0ms

496×

valid

Compiler

Compiled 1 220 to 1 006 computations (17.5% saved)

Precisions

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

const: 26.0ms (64.5% of total)

ival-mult: 6.0ms (14.9% of total)

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

ival-add: 2.0ms (5% of total)

exact: 1.0ms (2.5% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.042596190400089	14.655273893188838
1.0ms	-277354900.7422038	-207528.8806051393

Compiler

Compiled 590 to 511 computations (13.4% saved)

bsearch29.0ms (0.5%)

Memory

-15.7MiB live, 30.5MiB allocated; 7ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1.6083046027980344e-14	5.0226911971595935e-11
6.0ms	-2416.0571827205617	-5.8292287741782993e-5

Samples

12.0ms

176×

valid

Compiler

Compiled 609 to 525 computations (13.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

const: 3.0ms (38% of total)

ival-sub: 2.0ms (25.4% of total)

ival-mult: 2.0ms (25.4% of total)

ival-add: 1.0ms (12.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify21.0ms (0.4%)

Memory

28.5MiB live, 28.5MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	528
1	132	528
2	159	528
3	196	528
4	236	528
5	270	528
6	278	528
7	283	528

Stop Event

1×

saturated

Calls

Call 1

Inputs
#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)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) x) y #s(literal 918938533204673/1000000000000000 binary64)) x))
(if (<=.f64 (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal -1000000000000000042420637374017961984 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (+.f64 #s(literal -1/2 binary64) x) y #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))) (if (<=.f64 (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 5000000000 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(approx (+ -1/2 x) #s(literal -1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (+.f64 #s(literal -1/2 binary64) x) y #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))))))
(if (<=.f64 x #s(literal -389999999999999985940692992 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 (+.f64 #s(literal -1 binary64) y) x)) (if (<=.f64 x #s(literal 10000 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(approx (+ -1/2 x) #s(literal -1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (+.f64 #s(literal -1 binary64) y) x))))
(if (<=.f64 x #s(literal -3242591731706757/4503599627370496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 (+.f64 #s(literal -1 binary64) y) x)) (if (<=.f64 x #s(literal 1170935903116329/2251799813685248 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (+.f64 #s(literal -1 binary64) y) x))))
(if (<=.f64 x #s(literal -389999999999999985940692992 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (.f64 y x))) (if (<=.f64 x #s(literal 1170935903116329/2251799813685248 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) (if (<=.f64 x #s(literal 1900000000000000107709726720 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (.f64 y x))) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))))))
(if (<=.f64 y #s(literal -1120000000000000060001833514338102505596834224460432575638754166908558501539170522558415825242817228850167282820696620952922688375918698866011821645517875515930201261342720 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (.f64 y x))) (if (<=.f64 y #s(literal -210000 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 y #s(literal 89999999999999998865351570008186869562518561116641057902943303075102720 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (.f64 #s(literal -1/2 binary64) y))) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 y x)))))))
(if (<=.f64 y #s(literal -210000 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 #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 -8286623314361713/9007199254740992 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) (if (<=.f64 x #s(literal 7737125245533627/154742504910672534362390528 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))

Outputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (+.f64 #s(literal -1/2 binary64) x) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) x) y #s(literal 918938533204673/1000000000000000 binary64)) x))
(if (<=.f64 (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal -1000000000000000042420637374017961984 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (+.f64 #s(literal -1/2 binary64) x) y #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))) (if (<=.f64 (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 5000000000 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(approx (+ -1/2 x) #s(literal -1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (+.f64 #s(literal -1/2 binary64) x) y #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))))))
(if (or (<=.f64 (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal -1000000000000000042420637374017961984 binary64)) (not (<=.f64 (+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 5000000000 binary64)))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (+.f64 #s(literal -1/2 binary64) x) y #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(approx (+ -1/2 x) #s(literal -1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(if (<=.f64 x #s(literal -389999999999999985940692992 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 (+.f64 #s(literal -1 binary64) y) x)) (if (<=.f64 x #s(literal 10000 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(approx (+ -1/2 x) #s(literal -1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (+.f64 #s(literal -1 binary64) y) x))))
(if (or (<=.f64 x #s(literal -389999999999999985940692992 binary64)) (not (<=.f64 x #s(literal 10000 binary64)))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 (+.f64 #s(literal -1 binary64) y) x)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(approx (+ -1/2 x) #s(literal -1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(if (<=.f64 x #s(literal -3242591731706757/4503599627370496 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 (+.f64 #s(literal -1 binary64) y) x)) (if (<=.f64 x #s(literal 1170935903116329/2251799813685248 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (+.f64 #s(literal -1 binary64) y) x))))
(if (or (<=.f64 x #s(literal -3242591731706757/4503599627370496 binary64)) (not (<=.f64 x #s(literal 1170935903116329/2251799813685248 binary64)))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 (+.f64 #s(literal -1 binary64) y) x)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))))
(if (<=.f64 x #s(literal -389999999999999985940692992 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (.f64 y x))) (if (<=.f64 x #s(literal 1170935903116329/2251799813685248 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))) (if (<=.f64 x #s(literal 1900000000000000107709726720 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (.f64 y x))) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))))))
(if (<=.f64 y #s(literal -1120000000000000060001833514338102505596834224460432575638754166908558501539170522558415825242817228850167282820696620952922688375918698866011821645517875515930201261342720 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (.f64 y x))) (if (<=.f64 y #s(literal -210000 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 y #s(literal 89999999999999998865351570008186869562518561116641057902943303075102720 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (.f64 #s(literal -1/2 binary64) y))) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 y x)))))))
(if (<=.f64 y #s(literal -210000 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 #s(literal -1/2 binary64) y)))))
(if (or (<=.f64 y #s(literal -210000 binary64)) (not (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (.f64 #s(literal -1/2 binary64) y))) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(if (<=.f64 x #s(literal -8286623314361713/9007199254740992 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) (if (<=.f64 x #s(literal 7737125245533627/154742504910672534362390528 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))))
(if (or (<=.f64 x #s(literal -8286623314361713/9007199254740992 binary64)) (not (<=.f64 x #s(literal 7737125245533627/154742504910672534362390528 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)))

derivations881.0ms (15.7%)

Memory

-8.4MiB live, 465.2MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	123	306
1	412	303
2	1323	303
3	4634	277
0	8417	255
0	24	112
0	37	112
1	189	104
2	1360	104
0	8229	104
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×	iter limit
1×	node limit

Compiler

Compiled 528 to 102 computations (80.7% saved)

preprocess98.0ms (1.7%)

Memory: 40.2MiB live, 119.1MiB allocated; 24ms collecting garbage
Compiler: Compiled 1 078 to 224 computations (79.2% saved)

end0.0ms (0%)

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

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	30	160
0	36	160
1	55	160
2	87	160
3	161	160
4	259	160
5	331	160
6	364	160
7	396	160
8	404	160
0	404	149

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	30	160
0	36	160
1	55	160
2	87	160
3	161	160
4	259	160
5	331	160
6	364	160
7	396	160
8	404	160
0	404	149

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (27.6%)

explain123.0ms (2.2%)

preprocess61.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0.1%)

localize50.0ms (0.9%)

series6.0ms (0.1%)

simplify158.0ms (2.8%)

rewrite278.0ms (5%)

eval31.0ms (0.6%)

prune15.0ms (0.3%)

simplify71.0ms (1.3%)

localize154.0ms (2.7%)

series7.0ms (0.1%)

simplify150.0ms (2.7%)

rewrite277.0ms (4.9%)

eval111.0ms (2%)

prune33.0ms (0.6%)

simplify59.0ms (1%)

localize76.0ms (1.4%)

series7.0ms (0.1%)

simplify117.0ms (2.1%)

rewrite347.0ms (6.2%)

eval28.0ms (0.5%)

prune33.0ms (0.6%)

simplify12.0ms (0.2%)

localize63.0ms (1.1%)

series23.0ms (0.4%)

simplify149.0ms (2.7%)

rewrite182.0ms (3.2%)

eval12.0ms (0.2%)

prune52.0ms (0.9%)

regimes20.0ms (0.4%)

regimes16.0ms (0.3%)

regimes17.0ms (0.3%)

regimes14.0ms (0.2%)

regimes37.0ms (0.7%)

regimes10.0ms (0.2%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes9.0ms (0.2%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch1.0ms (0%)

bsearch41.0ms (0.7%)

bsearch46.0ms (0.8%)

bsearch15.0ms (0.3%)

bsearch97.0ms (1.7%)

bsearch2.0ms (0%)

bsearch29.0ms (0.5%)

simplify21.0ms (0.4%)

derivations881.0ms (15.7%)

preprocess98.0ms (1.7%)

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

Iter	Nodes	Cost
0	30	160
0	36	160
1	55	160
2	87	160
3	161	160
4	259	160
5	331	160
6	364	160
7	396	160
8	404	160
0	404	149