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

analyze3.0ms (0.1%)

Memory

-44.6MiB live, 1.7MiB allocated; 4ms 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)

sample1.4s (24.9%)

Memory

55.9MiB live, 1 849.1MiB allocated; 408ms collecting garbage

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 660.0ms

const: 295.0ms (44.7% of total)

ival-sub: 166.0ms (25.2% of total)

ival-mult: 113.0ms (17.1% of total)

ival-add: 65.0ms (9.9% of total)

exact: 9.0ms (1.4% of total)

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

adjust: 3.0ms (0.5% of total)

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

Bogosity

explain131.0ms (2.3%)

Memory

-4.6MiB live, 229.3MiB allocated; 41ms 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

56.0ms

512×

valid

Compiler

Compiled 87 to 34 computations (60.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

const: 13.0ms (35.2% of total)

ival-mult: 11.0ms (29.8% of total)

ival-sub: 9.0ms (24.4% of total)

ival-add: 2.0ms (5.4% of total)

exact: 1.0ms (2.7% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess24.0ms (0.4%)

Memory

-2.6MiB live, 42.0MiB allocated; 11ms 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: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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)

simplify5.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB 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)

localize35.0ms (0.6%)

Memory

-15.7MiB live, 82.9MiB allocated; 15ms 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 x (-.f64 y #s(literal 1 binary64)))
accuracy	0.0078125	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
accuracy	0.015625	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))

Samples

23.0ms

256×

valid

Compiler

Compiled 38 to 12 computations (68.4% saved)

Precisions

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

const: 6.0ms (43.4% of total)

ival-sub: 3.0ms (21.7% of total)

ival-mult: 3.0ms (21.7% of total)

ival-add: 1.0ms (7.2% 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

13.5MiB live, 13.5MiB 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	@	-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))

simplify158.0ms (2.8%)

Memory

12.9MiB live, 147.5MiB allocated; 14ms 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)))

rewrite380.0ms (6.6%)

Memory

-48.1MiB live, 218.8MiB allocated; 95ms 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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eval80.0ms (1.4%)

Memory: 7.0MiB live, 53.0MiB allocated; 10ms collecting garbage
Compiler: Compiled 8 181 to 884 computations (89.2% saved)

prune6.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated; 0ms 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
▶	41.1%	(/.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (-.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))
▶	100.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (+.f64 #s(literal -1/2 binary64) x) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
▶	48.5%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
▶	50.8%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
▶	50.2%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))

Compiler

Compiled 202 to 146 computations (27.7% saved)

simplify204.0ms (3.6%)

Memory

-12.9MiB live, 218.5MiB allocated; 30ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x))
cost-diff	0	(pow.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 3 binary64))
cost-diff	0	(+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 3 binary64)))
cost-diff	0	(/.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (-.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 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: 0 (0.0ms)

Iter	Nodes	Cost
0	32	218
0	49	218
1	84	214
2	177	214
3	753	214
4	3050	214
0	8560	210

Stop Event

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

Calls

Call 1

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

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

localize163.0ms (2.8%)

Memory

-3.5MiB live, 191.1MiB allocated; 23ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.015625	(fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x))
accuracy	0.033535009768442016	(pow.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 3 binary64))
accuracy	0.05078125	(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))
accuracy	36.27268388278745	(/.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (-.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))
accuracy	0.0	(-.f64 x #s(literal 1/2 binary64))
accuracy	0.01953125	(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
accuracy	31.87367648755935	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
accuracy	0.0	(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
accuracy	32.94984860810503	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
accuracy	0.00390625	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
accuracy	31.484868655936133	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
accuracy	0.0	(fma.f64 (+.f64 #s(literal -1/2 binary64) x) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
accuracy	0.0	(+.f64 #s(literal -1/2 binary64) x)
accuracy	0.0	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (+.f64 #s(literal -1/2 binary64) x) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
accuracy	0.00390625	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)

Samples

68.0ms

256×

valid

Compiler

Compiled 209 to 32 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

const: 16.0ms (32.6% of total)

ival-mult: 10.0ms (20.4% of total)

ival-sub: 9.0ms (18.3% of total)

ival-add: 7.0ms (14.3% of total)

ival-pow: 4.0ms (8.1% of total)

ival-div: 2.0ms (4.1% of total)

exact: 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)

series32.0ms (0.6%)

Memory

43.2MiB live, 43.2MiB allocated; 0ms collecting garbage

Counts

15 → 114

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	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) (/ (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow (+ (* -1/2 y) (* (- y 1) x)) 3)) (+ (* (+ (* -1/2 y) (* (- y 1) x)) (- (+ (* -1/2 y) (* (- y 1) x)) 918938533204673/1000000000000000)) 844448027808355901771309036929/1000000000000000000000000000000)) (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow (+ (* -1/2 y) (* (- y 1) x)) 3)) (pow (+ (* -1/2 y) (* (- y 1) x)) 3) (+ (* -1/2 y) (* (- y 1) x)) (+ (* (+ (* -1/2 y) (* (- y 1) x)) (- (+ (* -1/2 y) (* (- y 1) x)) 918938533204673/1000000000000000)) 844448027808355901771309036929/1000000000000000000000000000000))
5.0ms	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) (/ (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow (+ (* -1/2 y) (* (- y 1) x)) 3)) (+ (* (+ (* -1/2 y) (* (- y 1) x)) (- (+ (* -1/2 y) (* (- y 1) x)) 918938533204673/1000000000000000)) 844448027808355901771309036929/1000000000000000000000000000000)) (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow (+ (* -1/2 y) (* (- y 1) x)) 3)) (pow (+ (* -1/2 y) (* (- y 1) x)) 3) (+ (* -1/2 y) (* (- y 1) x)) (+ (* (+ (* -1/2 y) (* (- y 1) x)) (- (+ (* -1/2 y) (* (- y 1) x)) 918938533204673/1000000000000000)) 844448027808355901771309036929/1000000000000000000000000000000))
5.0ms	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) (/ (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow (+ (* -1/2 y) (* (- y 1) x)) 3)) (+ (* (+ (* -1/2 y) (* (- y 1) x)) (- (+ (* -1/2 y) (* (- y 1) x)) 918938533204673/1000000000000000)) 844448027808355901771309036929/1000000000000000000000000000000)) (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow (+ (* -1/2 y) (* (- y 1) x)) 3)) (pow (+ (* -1/2 y) (* (- y 1) x)) 3) (+ (* -1/2 y) (* (- y 1) x)) (+ (* (+ (* -1/2 y) (* (- y 1) x)) (- (+ (* -1/2 y) (* (- y 1) x)) 918938533204673/1000000000000000)) 844448027808355901771309036929/1000000000000000000000000000000))
4.0ms	y	@	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) (/ (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow (+ (* -1/2 y) (* (- y 1) x)) 3)) (+ (* (+ (* -1/2 y) (* (- y 1) x)) (- (+ (* -1/2 y) (* (- y 1) x)) 918938533204673/1000000000000000)) 844448027808355901771309036929/1000000000000000000000000000000)) (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow (+ (* -1/2 y) (* (- y 1) x)) 3)) (pow (+ (* -1/2 y) (* (- y 1) x)) 3) (+ (* -1/2 y) (* (- y 1) x)) (+ (* (+ (* -1/2 y) (* (- y 1) x)) (- (+ (* -1/2 y) (* (- y 1) x)) 918938533204673/1000000000000000)) 844448027808355901771309036929/1000000000000000000000000000000))
4.0ms	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) (/ (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow (+ (* -1/2 y) (* (- y 1) x)) 3)) (+ (* (+ (* -1/2 y) (* (- y 1) x)) (- (+ (* -1/2 y) (* (- y 1) x)) 918938533204673/1000000000000000)) 844448027808355901771309036929/1000000000000000000000000000000)) (+ 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 (pow (+ (* -1/2 y) (* (- y 1) x)) 3)) (pow (+ (* -1/2 y) (* (- y 1) x)) 3) (+ (* -1/2 y) (* (- y 1) x)) (+ (* (+ (* -1/2 y) (* (- y 1) x)) (- (+ (* -1/2 y) (* (- y 1) x)) 918938533204673/1000000000000000)) 844448027808355901771309036929/1000000000000000000000000000000))

simplify304.0ms (5.3%)

Memory

-20.1MiB live, 315.4MiB allocated; 45ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	763	5186
1	2766	4360
0	8362	4150

Stop Event

1×	iter limit
1×	node limit

Counts

114 → 113

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

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

rewrite245.0ms (4.3%)

Memory

28.7MiB live, 257.6MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	177
0	49	177
1	237	173
2	1829	173
0	8629	169

Stop Event

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

Counts

15 → 387

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))
(/.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (-.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))
(+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 3 binary64)))
(pow.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 3 binary64))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 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 (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))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) x) y #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) x) y #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (fma.f64 (+.f64 #s(literal -1/2 binary64) x) y #s(literal 918938533204673/1000000000000000 binary64)) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (+.f64 #s(literal -1/2 binary64) x) y) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (.f64 (+.f64 #s(literal -1/2 binary64) x) y) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 #s(literal -1/2 binary64) x) y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (+.f64 #s(literal -1/2 binary64) x) y)) (pow.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) x) y) #s(literal 2 binary64))))))
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(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #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)) #s(literal 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64)) (+.f64 #s(literal 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 binary64) (-.f64 (pow.f64 (.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #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 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 918938533204673/1000000000000000 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #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)) #s(literal 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64)) (+.f64 (-.f64 #s(literal 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 binary64) (.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 918938533204673/1000000000000000 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) (pow.f64 (.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #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))))
(fma.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #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))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))
(-.f64 (/.f64 #s(literal 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 binary64) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x))))) (/.f64 (pow.f64 (.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #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 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x))))))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #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 (.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #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))) (/.f64 #s(literal 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 binary64) (-.f64 (.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #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))))
(-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (neg.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 918938533204673/1000000000000000 binary64))) (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x))))
(-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x))) (-.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 918938533204673/1000000000000000 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #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)) (+.f64 #s(literal 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 binary64) (-.f64 (pow.f64 (.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #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 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 918938533204673/1000000000000000 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))))) (/.f64 #s(literal 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (+.f64 #s(literal 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 binary64) (-.f64 (pow.f64 (.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #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 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 918938533204673/1000000000000000 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))))))
(+.f64 (/.f64 #s(literal 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (+.f64 #s(literal 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 binary64) (-.f64 (pow.f64 (.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #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 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 918938533204673/1000000000000000 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))))) (/.f64 (pow.f64 (.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #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)) (+.f64 #s(literal 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 binary64) (-.f64 (pow.f64 (.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #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 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 918938533204673/1000000000000000 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))))))
(+.f64 (/.f64 #s(literal 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 binary64) (.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 918938533204673/1000000000000000 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) (pow.f64 (.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #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 (.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #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)) (+.f64 (-.f64 #s(literal 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 binary64) (.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 918938533204673/1000000000000000 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) (pow.f64 (.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #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 (/.f64 (pow.f64 (.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #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)) (+.f64 (-.f64 #s(literal 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 binary64) (.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 918938533204673/1000000000000000 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) (pow.f64 (.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #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 #s(literal 602169531346229162124410547214766300102947990270042776016856015928398225588775409969193089/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 713092471669421822382614706812434602753285766506341485751041/1000000000000000000000000000000000000000000000000000000000000 binary64) (.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 918938533204673/1000000000000000 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))) (pow.f64 (.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #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 (.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #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))
(+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(literal 918938533204673/1000000000000000 binary64)) (fma.f64 #s(literal -1/2 binary64) y (*.f64 (-.f64 y #s(literal 1 binary64)) x))))

eval93.0ms (1.6%)

Memory: -37.5MiB live, 154.0MiB allocated; 24ms collecting garbage
Compiler: Compiled 37 638 to 2 763 computations (92.7% saved)

prune14.0ms (0.2%)

Memory

31.1MiB live, 31.1MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	649	7	656
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	651	10	661

Accuracy

100.0%

Counts

661 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.7%	#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))))
✓	48.5%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
	65.4%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (/.f64 (fma.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x x)) (-.f64 #s(literal -1/2 binary64) x) (.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) y))) (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal -1/2 binary64) x))))
✓	50.8%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
	51.5%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
✓	50.2%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
▶	28.1%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
▶	24.2%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
▶	25.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 y x)))
▶	26.4%	#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 362 to 271 computations (25.1% saved)

simplify11.0ms (0.2%)

Memory

5.7MiB live, 5.7MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	168
0	34	168
1	50	168
2	70	168
3	134	168
4	216	168
5	286	168
6	315	168
7	345	168
8	353	168
0	353	158

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

localize95.0ms (1.7%)

Memory

-13.7MiB live, 82.8MiB allocated; 15ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 y x)
accuracy	30.73634282663018	#s(approx (* (- x 1/2) y) (*.f64 y x))
accuracy	31.87367648755935	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 y x)))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	31.87367648755935	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 #s(literal -1/2 binary64) y)))
accuracy	32.847673013413754	#s(approx (* (- x 1/2) y) (*.f64 #s(literal -1/2 binary64) y))
accuracy	0.0	(neg.f64 x)
accuracy	30.956878902468134	#s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))
accuracy	31.484868655936133	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
accuracy	31.484868655936133	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
accuracy	32.977672684435994	#s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))
accuracy	0.0	(+.f64 #s(literal -1/2 binary64) x)
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	30.956878902468134	#s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))

Samples

82.0ms

256×

valid

Compiler

Compiled 107 to 22 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-sub: 52.0ms (74.2% of total)

ival-mult: 9.0ms (12.8% of total)

const: 4.0ms (5.7% of total)

ival-add: 3.0ms (4.3% of total)

ival-neg: 1.0ms (1.4% 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)

series9.0ms (0.2%)

Memory

18.7MiB live, 18.7MiB allocated; 0ms collecting garbage

Counts

14 → 34

Calls

Call 1

Inputs
#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(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 (- 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)))
(neg.f64 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 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) #s(approx (* (- x 1/2) y) (*.f64 y x)))
#s(approx (* (- x 1/2) y) (*.f64 y x))
(*.f64 y x)

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	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) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (neg x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (* -1/2 y) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (* y x))
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) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (neg x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (* -1/2 y) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (* y x))
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) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (neg x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (* -1/2 y) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (* y x))
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) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (neg x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (* -1/2 y) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (* y x))
1.0ms	y	@	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) (- 918938533204673/1000000000000000 x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (neg x) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (* -1/2 y) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- x 1/2) y) (* y x))

simplify114.0ms (2%)

Memory

-1.5MiB live, 88.4MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	218
1	346	218
2	1138	218
3	3939	194
4	7351	194
0	8039	180

Stop Event

1×	iter limit
1×	node limit

Counts

34 → 33

Calls

Call 1

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

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

rewrite311.0ms (5.4%)

Memory

-9.3MiB live, 223.1MiB allocated; 65ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	151
0	34	151
1	135	151
2	891	151
0	8726	141

Stop Event

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

Counts

14 → 90

Calls

Call 1

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

eval20.0ms (0.3%)

Memory: -23.9MiB live, 36.1MiB allocated; 16ms collecting garbage
Compiler: Compiled 4 685 to 412 computations (91.2% saved)

prune6.0ms (0.1%)

Memory

18.5MiB live, 18.5MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	2	2
Picked	0	5	5
Done	0	3	3
Total	112	10	122

Accuracy

100.0%

Counts

122 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.7%	#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))))
✓	48.5%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
▶	65.4%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (/.f64 (fma.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x x)) (-.f64 #s(literal -1/2 binary64) x) (.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) y))) (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal -1/2 binary64) x))))
✓	50.8%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
▶	51.5%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
✓	50.2%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
✓	28.1%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
✓	24.2%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
✓	25.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 y x)))
✓	26.4%	#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 205 to 156 computations (23.9% saved)

simplify138.0ms (2.4%)

Memory

13.2MiB live, 249.2MiB allocated; 28ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x))
cost-diff	0	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (/.f64 (fma.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x x)) (-.f64 #s(literal -1/2 binary64) x) (.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) y))) (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal -1/2 binary64) x))))
cost-diff	1	(fma.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x x)) (-.f64 #s(literal -1/2 binary64) x) (.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) y)))
cost-diff	8	(/.f64 (fma.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x x)) (-.f64 #s(literal -1/2 binary64) x) (.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) y))) (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal -1/2 binary64) x)))
cost-diff	0	(-.f64 y #s(literal 1 binary64))
cost-diff	0	(*.f64 (-.f64 y #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	166
0	40	166
1	73	166
2	228	160
3	1014	152
4	4458	152
0	8519	143

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
x
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (/.f64 (fma.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x x)) (-.f64 #s(literal -1/2 binary64) x) (.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) y))) (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal -1/2 binary64) x))))
(/.f64 (fma.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x x)) (-.f64 #s(literal -1/2 binary64) x) (.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) y))) (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal -1/2 binary64) x)))
(fma.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x x)) (-.f64 #s(literal -1/2 binary64) x) (.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) y)))
(-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x))
#s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)
(*.f64 x x)
x
(-.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x x)) y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
#s(literal 918938533204673/1000000000000000 binary64)
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) y)
(-.f64 #s(literal 1/4 binary64) (*.f64 x x))
#s(literal 1/4 binary64)
y
(*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal -1/2 binary64) x))

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

localize64.0ms (1.1%)

Memory

-6.0MiB live, 137.5MiB allocated; 15ms collecting garbage

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.07421875	(.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x x)) y))
accuracy	4.696326316017279	(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) y)
accuracy	7.0038814799624705	(fma.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x x)) (-.f64 #s(literal -1/2 binary64) x) (.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) y)))
accuracy	21.304588988821514	(/.f64 (fma.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x x)) (-.f64 #s(literal -1/2 binary64) x) (.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) y))) (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal -1/2 binary64) x)))
accuracy	0.0	(-.f64 y #s(literal 1 binary64))
accuracy	0.00390625	(*.f64 (-.f64 y #s(literal 1 binary64)) x)
accuracy	31.019826460175572	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))

Samples

50.0ms

256×

valid

Compiler

Compiled 135 to 27 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 11.0ms (35.6% of total)

const: 8.0ms (25.9% of total)

ival-sub: 6.0ms (19.4% of total)

ival-add: 3.0ms (9.7% of total)

ival-div: 2.0ms (6.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.3%)

Memory

-16.6MiB live, 29.0MiB allocated; 4ms collecting garbage

Counts

9 → 74

Calls

Call 1

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(-.f64 y #s(literal 1 binary64))
(/.f64 (fma.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x x)) (-.f64 #s(literal -1/2 binary64) x) (.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) y))) (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal -1/2 binary64) x)))
(fma.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x x)) (-.f64 #s(literal -1/2 binary64) x) (.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) y)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (/.f64 (fma.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x x)) (-.f64 #s(literal -1/2 binary64) x) (.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) y))) (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal -1/2 binary64) x))))
(-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) y)
(.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x x)) y))

Outputs
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(* x (- y 1))
(* -2000000000000000/918938533204673 (- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000))
(+ (* -2000000000000000/918938533204673 (- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000)) (* -1 (* x (- (* 2000000000000000/918938533204673 (- (* 1/4 y) 844448027808355901771309036929/1000000000000000000000000000000)) (* 5675754132818692000000000000000/844448027808355901771309036929 (- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000))))))
(+ (* -2000000000000000/918938533204673 (- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000)) (* x (+ (* -1 (* x (- (* 2000000000000000/918938533204673 (+ 1/2 (* -918938533204673/1000000000000000 y))) (+ (* 2837877066409346/918938533204673 (- (* 2000000000000000/918938533204673 (- (* 1/4 y) 844448027808355901771309036929/1000000000000000000000000000000)) (* 5675754132818692000000000000000/844448027808355901771309036929 (- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000)))) (* 4000000000000000000000000000000/844448027808355901771309036929 (- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000)))))) (* -1 (- (* 2000000000000000/918938533204673 (- (* 1/4 y) 844448027808355901771309036929/1000000000000000000000000000000)) (* 5675754132818692000000000000000/844448027808355901771309036929 (- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000)))))))
(+ (* -2000000000000000/918938533204673 (- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000)) (* x (+ (* -1 (- (* 2000000000000000/918938533204673 (- (* 1/4 y) 844448027808355901771309036929/1000000000000000000000000000000)) (* 5675754132818692000000000000000/844448027808355901771309036929 (- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000)))) (* x (+ (* -1 (* x (- (* 2000000000000000/918938533204673 (+ 1 (* -1 y))) (+ (* 2000000000000000/918938533204673 (- (* 2000000000000000/918938533204673 (- (* 1/4 y) 844448027808355901771309036929/1000000000000000000000000000000)) (* 5675754132818692000000000000000/844448027808355901771309036929 (- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000)))) (* 2837877066409346/918938533204673 (- (* 2000000000000000/918938533204673 (+ 1/2 (* -918938533204673/1000000000000000 y))) (+ (* 2837877066409346/918938533204673 (- (* 2000000000000000/918938533204673 (- (* 1/4 y) 844448027808355901771309036929/1000000000000000000000000000000)) (* 5675754132818692000000000000000/844448027808355901771309036929 (- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000)))) (* 4000000000000000000000000000000/844448027808355901771309036929 (- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000))))))))) (* -1 (- (* 2000000000000000/918938533204673 (+ 1/2 (* -918938533204673/1000000000000000 y))) (+ (* 2837877066409346/918938533204673 (- (* 2000000000000000/918938533204673 (- (* 1/4 y) 844448027808355901771309036929/1000000000000000000000000000000)) (* 5675754132818692000000000000000/844448027808355901771309036929 (- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000)))) (* 4000000000000000000000000000000/844448027808355901771309036929 (- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000))))))))))
(- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000)
(- (+ (* 918938533204673/4000000000000000 y) (* x (- (* 1/4 y) 844448027808355901771309036929/1000000000000000000000000000000))) 844448027808355901771309036929/2000000000000000000000000000000)
(- (+ (* 918938533204673/4000000000000000 y) (* x (- (+ (* 1/4 y) (* x (+ 1/2 (* -918938533204673/1000000000000000 y)))) 844448027808355901771309036929/1000000000000000000000000000000))) 844448027808355901771309036929/2000000000000000000000000000000)
(- (+ (* 918938533204673/4000000000000000 y) (* x (- (+ (* 1/4 y) (* x (+ 1/2 (+ (* -918938533204673/1000000000000000 y) (* x (+ 1 (* -1 y))))))) 844448027808355901771309036929/1000000000000000000000000000000))) 844448027808355901771309036929/2000000000000000000000000000000)
844448027808355901771309036929/1000000000000000000000000000000
(+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1 (pow x 2)))
(* 1/4 y)
(+ (* -1 (* (pow x 2) y)) (* 1/4 y))
(* 918938533204673/4000000000000000 y)
(+ (* 918938533204673/4000000000000000 y) (* 1/4 (* x y)))
(+ (* 918938533204673/4000000000000000 y) (* x (+ (* -918938533204673/1000000000000000 (* x y)) (* 1/4 y))))
(+ (* 918938533204673/4000000000000000 y) (* x (+ (* 1/4 y) (* x (+ (* -1 (* x y)) (* -918938533204673/1000000000000000 y))))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* -1 (* x (+ 1 (* -1 y))))
(* x (+ (* -1 (+ 1 (* -1 y))) (* -1 (/ (- (+ 1/2 (* -918938533204673/1000000000000000 y)) (* 1418938533204673/1000000000000000 (+ 1 (* -1 y)))) x))))
(* x (+ (* -1 (+ 1 (* -1 y))) (+ (* -1 (/ (- (* 1/4 y) (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 918938533204673/2000000000000000 (+ 1 (* -1 y))) (* 1418938533204673/1000000000000000 (- (+ 1/2 (* -918938533204673/1000000000000000 y)) (* 1418938533204673/1000000000000000 (+ 1 (* -1 y)))))))) (pow x 2))) (* -1 (/ (- (+ 1/2 (* -918938533204673/1000000000000000 y)) (* 1418938533204673/1000000000000000 (+ 1 (* -1 y)))) x)))))
(* x (+ (* -1 (+ 1 (* -1 y))) (+ (* -1 (/ (- (* 918938533204673/4000000000000000 y) (+ 844448027808355901771309036929/2000000000000000000000000000000 (+ (* 918938533204673/2000000000000000 (- (+ 1/2 (* -918938533204673/1000000000000000 y)) (* 1418938533204673/1000000000000000 (+ 1 (* -1 y))))) (* 1418938533204673/1000000000000000 (- (* 1/4 y) (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 918938533204673/2000000000000000 (+ 1 (* -1 y))) (* 1418938533204673/1000000000000000 (- (+ 1/2 (* -918938533204673/1000000000000000 y)) (* 1418938533204673/1000000000000000 (+ 1 (* -1 y)))))))))))) (pow x 3))) (+ (* -1 (/ (- (* 1/4 y) (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 918938533204673/2000000000000000 (+ 1 (* -1 y))) (* 1418938533204673/1000000000000000 (- (+ 1/2 (* -918938533204673/1000000000000000 y)) (* 1418938533204673/1000000000000000 (+ 1 (* -1 y)))))))) (pow x 2))) (* -1 (/ (- (+ 1/2 (* -918938533204673/1000000000000000 y)) (* 1418938533204673/1000000000000000 (+ 1 (* -1 y)))) x))))))
(* (pow x 3) (+ 1 (* -1 y)))
(* (pow x 3) (+ 1 (+ (* -1 y) (+ (* -918938533204673/1000000000000000 (/ y x)) (* 1/2 (/ 1 x))))))
(* (pow x 3) (- (+ 1 (+ (* -1 y) (+ (* -918938533204673/1000000000000000 (/ y x)) (+ (* 1/4 (/ y (pow x 2))) (* 1/2 (/ 1 x)))))) (/ 844448027808355901771309036929/1000000000000000000000000000000 (pow x 2))))
(* (pow x 3) (- (+ 1 (+ (* -1 y) (+ (* -918938533204673/1000000000000000 (/ y x)) (+ (* 918938533204673/4000000000000000 (/ y (pow x 3))) (+ (* 1/4 (/ y (pow x 2))) (* 1/2 (/ 1 x))))))) (+ (/ 844448027808355901771309036929/1000000000000000000000000000000 (pow x 2)) (* 844448027808355901771309036929/2000000000000000000000000000000 (/ 1 (pow x 3))))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (pow x 2))) 1))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (* 1/4 (/ y (pow x 2)))))
(* -1 (* (pow x 3) y))
(* (pow x 3) (+ (* -1 y) (* -918938533204673/1000000000000000 (/ y x))))
(* (pow x 3) (+ (* -1 y) (+ (* -918938533204673/1000000000000000 (/ y x)) (* 1/4 (/ y (pow x 2))))))
(* (pow x 3) (+ (* -1 y) (+ (* -918938533204673/1000000000000000 (/ y x)) (+ (* 918938533204673/4000000000000000 (/ y (pow x 3))) (* 1/4 (/ y (pow x 2)))))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- (* -1 (+ 1/2 (* -918938533204673/1000000000000000 y))) (* 1418938533204673/1000000000000000 (- y 1))) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- (+ (* -1 (+ 1/2 (* -918938533204673/1000000000000000 y))) (* -1 (/ (- (* -1 (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/4 y))) (+ (* -1418938533204673/1000000000000000 (- (* -1 (+ 1/2 (* -918938533204673/1000000000000000 y))) (* 1418938533204673/1000000000000000 (- y 1)))) (* -918938533204673/2000000000000000 (- y 1)))) x))) (* 1418938533204673/1000000000000000 (- y 1))) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- (+ (* -1 (+ 1/2 (* -918938533204673/1000000000000000 y))) (* -1 (/ (- (+ (* -1 (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/4 y))) (* -1 (/ (- (* -1 (- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000)) (+ (* -1418938533204673/1000000000000000 (- (* -1 (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/4 y))) (+ (* -1418938533204673/1000000000000000 (- (* -1 (+ 1/2 (* -918938533204673/1000000000000000 y))) (* 1418938533204673/1000000000000000 (- y 1)))) (* -918938533204673/2000000000000000 (- y 1))))) (* 918938533204673/2000000000000000 (- (* -1 (+ 1/2 (* -918938533204673/1000000000000000 y))) (* 1418938533204673/1000000000000000 (- y 1)))))) x))) (+ (* -1418938533204673/1000000000000000 (- (* -1 (+ 1/2 (* -918938533204673/1000000000000000 y))) (* 1418938533204673/1000000000000000 (- y 1)))) (* -918938533204673/2000000000000000 (- y 1)))) x))) (* 1418938533204673/1000000000000000 (- y 1))) x)))))
(* -1 (* (pow x 3) (- y 1)))
(* -1 (* (pow x 3) (- (+ y (* -1 (/ (+ 1/2 (* -918938533204673/1000000000000000 y)) x))) 1)))
(* -1 (* (pow x 3) (- (+ y (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/4 y)) x)) (* -918938533204673/1000000000000000 y))) x))) 1)))
(* -1 (* (pow x 3) (- (+ y (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* -1 (/ (- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000) x)) (* -1/4 y))) x)) (* -918938533204673/1000000000000000 y))) x))) 1)))
(* -1 (* (pow x 3) (+ y (* 918938533204673/1000000000000000 (/ y x)))))
(* -1 (* (pow x 3) (+ y (* -1 (/ (+ (* -918938533204673/1000000000000000 y) (* 1/4 (/ y x))) x)))))
(* -1 (* (pow x 3) (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1/4 y) (* -918938533204673/4000000000000000 (/ y x))) x)) (* -918938533204673/1000000000000000 y)) x)))))
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(* -1 x)
(+ (* -1 x) (* x y))
-1
(- y 1)
(/ (- 844448027808355901771309036929/1000000000000000000000000000000 (pow x 2)) (+ 918938533204673/1000000000000000 x))
(- (+ (* -1 (* y (- (* 1/4 (/ 1 (+ 1/2 x))) (/ (pow x 2) (+ 1/2 x))))) (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (+ 918938533204673/1000000000000000 x)))) (/ (pow x 2) (+ 918938533204673/1000000000000000 x)))
(* -1 (* (+ 1/2 x) (- 844448027808355901771309036929/1000000000000000000000000000000 (pow x 2))))
(+ (* -1 (* (+ 1/2 x) (- 844448027808355901771309036929/1000000000000000000000000000000 (pow x 2)))) (* y (* (+ 918938533204673/1000000000000000 x) (- 1/4 (pow x 2)))))
(* y (- 1/4 (pow x 2)))
(* y (* (+ 918938533204673/1000000000000000 x) (- 1/4 (pow x 2))))
(* y (- x 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* x y)
(* y (+ x (* -1 (/ x y))))
y
(* y (- 1 (/ 1 y)))
(* -1 (/ (* y (- 1/4 (pow x 2))) (+ 1/2 x)))
(* y (- (+ (* -1 (/ (- 1/4 (pow x 2)) (+ 1/2 x))) (/ 844448027808355901771309036929/1000000000000000000000000000000 (* y (+ 918938533204673/1000000000000000 x)))) (/ (pow x 2) (* y (+ 918938533204673/1000000000000000 x)))))
(* y (+ (* -1 (/ (* (+ 1/2 x) (- 844448027808355901771309036929/1000000000000000000000000000000 (pow x 2))) y)) (* (+ 918938533204673/1000000000000000 x) (- 1/4 (pow x 2)))))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (+ (* -1 (/ (- (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (+ 918938533204673/1000000000000000 x))) (/ (pow x 2) (+ 918938533204673/1000000000000000 x))) y)) (* 1/4 (/ 1 (+ 1/2 x)))) (/ (pow x 2) (+ 1/2 x)))))
(* -1 (* y (+ (* -1 (* (+ 918938533204673/1000000000000000 x) (- 1/4 (pow x 2)))) (/ (* (+ 1/2 x) (- 844448027808355901771309036929/1000000000000000000000000000000 (pow x 2))) y))))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (- y 1) (/ (+ (* (- 844448027808355901771309036929/1000000000000000000000000000000 (* x x)) (- -1/2 x)) (* (+ 918938533204673/1000000000000000 x) (* (- 1/4 (* x x)) y))) (* (+ 918938533204673/1000000000000000 x) (- -1/2 x))) (+ (* (- 844448027808355901771309036929/1000000000000000000000000000000 (* x x)) (- -1/2 x)) (* (+ 918938533204673/1000000000000000 x) (* (- 1/4 (* x x)) y))) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 844448027808355901771309036929/1000000000000000000000000000000 (* x x)) (* (- 1/4 (* x x)) y) (* (+ 918938533204673/1000000000000000 x) (* (- 1/4 (* x x)) y)))
3.0ms	y	@	0	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (- y 1) (/ (+ (* (- 844448027808355901771309036929/1000000000000000000000000000000 (* x x)) (- -1/2 x)) (* (+ 918938533204673/1000000000000000 x) (* (- 1/4 (* x x)) y))) (* (+ 918938533204673/1000000000000000 x) (- -1/2 x))) (+ (* (- 844448027808355901771309036929/1000000000000000000000000000000 (* x x)) (- -1/2 x)) (* (+ 918938533204673/1000000000000000 x) (* (- 1/4 (* x x)) y))) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 844448027808355901771309036929/1000000000000000000000000000000 (* x x)) (* (- 1/4 (* x x)) y) (* (+ 918938533204673/1000000000000000 x) (* (- 1/4 (* x x)) y)))
3.0ms	x	@	inf	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (- y 1) (/ (+ (* (- 844448027808355901771309036929/1000000000000000000000000000000 (* x x)) (- -1/2 x)) (* (+ 918938533204673/1000000000000000 x) (* (- 1/4 (* x x)) y))) (* (+ 918938533204673/1000000000000000 x) (- -1/2 x))) (+ (* (- 844448027808355901771309036929/1000000000000000000000000000000 (* x x)) (- -1/2 x)) (* (+ 918938533204673/1000000000000000 x) (* (- 1/4 (* x x)) y))) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 844448027808355901771309036929/1000000000000000000000000000000 (* x x)) (* (- 1/4 (* x x)) y) (* (+ 918938533204673/1000000000000000 x) (* (- 1/4 (* x x)) y)))
2.0ms	x	@	0	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (- y 1) (/ (+ (* (- 844448027808355901771309036929/1000000000000000000000000000000 (* x x)) (- -1/2 x)) (* (+ 918938533204673/1000000000000000 x) (* (- 1/4 (* x x)) y))) (* (+ 918938533204673/1000000000000000 x) (- -1/2 x))) (+ (* (- 844448027808355901771309036929/1000000000000000000000000000000 (* x x)) (- -1/2 x)) (* (+ 918938533204673/1000000000000000 x) (* (- 1/4 (* x x)) y))) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 844448027808355901771309036929/1000000000000000000000000000000 (* x x)) (* (- 1/4 (* x x)) y) (* (+ 918938533204673/1000000000000000 x) (* (- 1/4 (* x x)) y)))
2.0ms	y	@	-inf	((+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (* (- y 1) x) (- y 1) (/ (+ (* (- 844448027808355901771309036929/1000000000000000000000000000000 (* x x)) (- -1/2 x)) (* (+ 918938533204673/1000000000000000 x) (* (- 1/4 (* x x)) y))) (* (+ 918938533204673/1000000000000000 x) (- -1/2 x))) (+ (* (- 844448027808355901771309036929/1000000000000000000000000000000 (* x x)) (- -1/2 x)) (* (+ 918938533204673/1000000000000000 x) (* (- 1/4 (* x x)) y))) (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (- 844448027808355901771309036929/1000000000000000000000000000000 (* x x)) (* (- 1/4 (* x x)) y) (* (+ 918938533204673/1000000000000000 x) (* (- 1/4 (* x x)) y)))

simplify207.0ms (3.6%)

Memory

17.8MiB live, 262.3MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	369	1442
1	1356	1323
2	5156	1295
0	8273	1204

Stop Event

1×	iter limit
1×	node limit

Counts

74 → 73

Calls

Call 1

Inputs
(- 918938533204673/1000000000000000 (* 1/2 y))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(* x (- y 1))
(* -2000000000000000/918938533204673 (- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000))
(+ (* -2000000000000000/918938533204673 (- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000)) (* -1 (* x (- (* 2000000000000000/918938533204673 (- (* 1/4 y) 844448027808355901771309036929/1000000000000000000000000000000)) (* 5675754132818692000000000000000/844448027808355901771309036929 (- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000))))))
(+ (* -2000000000000000/918938533204673 (- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000)) (* x (+ (* -1 (* x (- (* 2000000000000000/918938533204673 (+ 1/2 (* -918938533204673/1000000000000000 y))) (+ (* 2837877066409346/918938533204673 (- (* 2000000000000000/918938533204673 (- (* 1/4 y) 844448027808355901771309036929/1000000000000000000000000000000)) (* 5675754132818692000000000000000/844448027808355901771309036929 (- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000)))) (* 4000000000000000000000000000000/844448027808355901771309036929 (- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000)))))) (* -1 (- (* 2000000000000000/918938533204673 (- (* 1/4 y) 844448027808355901771309036929/1000000000000000000000000000000)) (* 5675754132818692000000000000000/844448027808355901771309036929 (- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000)))))))
(+ (* -2000000000000000/918938533204673 (- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000)) (* x (+ (* -1 (- (* 2000000000000000/918938533204673 (- (* 1/4 y) 844448027808355901771309036929/1000000000000000000000000000000)) (* 5675754132818692000000000000000/844448027808355901771309036929 (- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000)))) (* x (+ (* -1 (* x (- (* 2000000000000000/918938533204673 (+ 1 (* -1 y))) (+ (* 2000000000000000/918938533204673 (- (* 2000000000000000/918938533204673 (- (* 1/4 y) 844448027808355901771309036929/1000000000000000000000000000000)) (* 5675754132818692000000000000000/844448027808355901771309036929 (- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000)))) (* 2837877066409346/918938533204673 (- (* 2000000000000000/918938533204673 (+ 1/2 (* -918938533204673/1000000000000000 y))) (+ (* 2837877066409346/918938533204673 (- (* 2000000000000000/918938533204673 (- (* 1/4 y) 844448027808355901771309036929/1000000000000000000000000000000)) (* 5675754132818692000000000000000/844448027808355901771309036929 (- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000)))) (* 4000000000000000000000000000000/844448027808355901771309036929 (- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000))))))))) (* -1 (- (* 2000000000000000/918938533204673 (+ 1/2 (* -918938533204673/1000000000000000 y))) (+ (* 2837877066409346/918938533204673 (- (* 2000000000000000/918938533204673 (- (* 1/4 y) 844448027808355901771309036929/1000000000000000000000000000000)) (* 5675754132818692000000000000000/844448027808355901771309036929 (- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000)))) (* 4000000000000000000000000000000/844448027808355901771309036929 (- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000))))))))))
(- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000)
(- (+ (* 918938533204673/4000000000000000 y) (* x (- (* 1/4 y) 844448027808355901771309036929/1000000000000000000000000000000))) 844448027808355901771309036929/2000000000000000000000000000000)
(- (+ (* 918938533204673/4000000000000000 y) (* x (- (+ (* 1/4 y) (* x (+ 1/2 (* -918938533204673/1000000000000000 y)))) 844448027808355901771309036929/1000000000000000000000000000000))) 844448027808355901771309036929/2000000000000000000000000000000)
(- (+ (* 918938533204673/4000000000000000 y) (* x (- (+ (* 1/4 y) (* x (+ 1/2 (+ (* -918938533204673/1000000000000000 y) (* x (+ 1 (* -1 y))))))) 844448027808355901771309036929/1000000000000000000000000000000))) 844448027808355901771309036929/2000000000000000000000000000000)
844448027808355901771309036929/1000000000000000000000000000000
(+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1 (pow x 2)))
(* 1/4 y)
(+ (* -1 (* (pow x 2) y)) (* 1/4 y))
(* 918938533204673/4000000000000000 y)
(+ (* 918938533204673/4000000000000000 y) (* 1/4 (* x y)))
(+ (* 918938533204673/4000000000000000 y) (* x (+ (* -918938533204673/1000000000000000 (* x y)) (* 1/4 y))))
(+ (* 918938533204673/4000000000000000 y) (* x (+ (* 1/4 y) (* x (+ (* -1 (* x y)) (* -918938533204673/1000000000000000 y))))))
(* x (- (+ y (* 918938533204673/1000000000000000 (/ 1 x))) (+ 1 (* 1/2 (/ y x)))))
(* -1 (* x (+ 1 (* -1 y))))
(* x (+ (* -1 (+ 1 (* -1 y))) (* -1 (/ (- (+ 1/2 (* -918938533204673/1000000000000000 y)) (* 1418938533204673/1000000000000000 (+ 1 (* -1 y)))) x))))
(* x (+ (* -1 (+ 1 (* -1 y))) (+ (* -1 (/ (- (* 1/4 y) (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 918938533204673/2000000000000000 (+ 1 (* -1 y))) (* 1418938533204673/1000000000000000 (- (+ 1/2 (* -918938533204673/1000000000000000 y)) (* 1418938533204673/1000000000000000 (+ 1 (* -1 y)))))))) (pow x 2))) (* -1 (/ (- (+ 1/2 (* -918938533204673/1000000000000000 y)) (* 1418938533204673/1000000000000000 (+ 1 (* -1 y)))) x)))))
(* x (+ (* -1 (+ 1 (* -1 y))) (+ (* -1 (/ (- (* 918938533204673/4000000000000000 y) (+ 844448027808355901771309036929/2000000000000000000000000000000 (+ (* 918938533204673/2000000000000000 (- (+ 1/2 (* -918938533204673/1000000000000000 y)) (* 1418938533204673/1000000000000000 (+ 1 (* -1 y))))) (* 1418938533204673/1000000000000000 (- (* 1/4 y) (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 918938533204673/2000000000000000 (+ 1 (* -1 y))) (* 1418938533204673/1000000000000000 (- (+ 1/2 (* -918938533204673/1000000000000000 y)) (* 1418938533204673/1000000000000000 (+ 1 (* -1 y)))))))))))) (pow x 3))) (+ (* -1 (/ (- (* 1/4 y) (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* 918938533204673/2000000000000000 (+ 1 (* -1 y))) (* 1418938533204673/1000000000000000 (- (+ 1/2 (* -918938533204673/1000000000000000 y)) (* 1418938533204673/1000000000000000 (+ 1 (* -1 y)))))))) (pow x 2))) (* -1 (/ (- (+ 1/2 (* -918938533204673/1000000000000000 y)) (* 1418938533204673/1000000000000000 (+ 1 (* -1 y)))) x))))))
(* (pow x 3) (+ 1 (* -1 y)))
(* (pow x 3) (+ 1 (+ (* -1 y) (+ (* -918938533204673/1000000000000000 (/ y x)) (* 1/2 (/ 1 x))))))
(* (pow x 3) (- (+ 1 (+ (* -1 y) (+ (* -918938533204673/1000000000000000 (/ y x)) (+ (* 1/4 (/ y (pow x 2))) (* 1/2 (/ 1 x)))))) (/ 844448027808355901771309036929/1000000000000000000000000000000 (pow x 2))))
(* (pow x 3) (- (+ 1 (+ (* -1 y) (+ (* -918938533204673/1000000000000000 (/ y x)) (+ (* 918938533204673/4000000000000000 (/ y (pow x 3))) (+ (* 1/4 (/ y (pow x 2))) (* 1/2 (/ 1 x))))))) (+ (/ 844448027808355901771309036929/1000000000000000000000000000000 (pow x 2)) (* 844448027808355901771309036929/2000000000000000000000000000000 (/ 1 (pow x 3))))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (pow x 2))) 1))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (* 1/4 (/ y (pow x 2)))))
(* -1 (* (pow x 3) y))
(* (pow x 3) (+ (* -1 y) (* -918938533204673/1000000000000000 (/ y x))))
(* (pow x 3) (+ (* -1 y) (+ (* -918938533204673/1000000000000000 (/ y x)) (* 1/4 (/ y (pow x 2))))))
(* (pow x 3) (+ (* -1 y) (+ (* -918938533204673/1000000000000000 (/ y x)) (+ (* 918938533204673/4000000000000000 (/ y (pow x 3))) (* 1/4 (/ y (pow x 2)))))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- 918938533204673/1000000000000000 (* 1/2 y)) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- (* -1 (+ 1/2 (* -918938533204673/1000000000000000 y))) (* 1418938533204673/1000000000000000 (- y 1))) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- (+ (* -1 (+ 1/2 (* -918938533204673/1000000000000000 y))) (* -1 (/ (- (* -1 (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/4 y))) (+ (* -1418938533204673/1000000000000000 (- (* -1 (+ 1/2 (* -918938533204673/1000000000000000 y))) (* 1418938533204673/1000000000000000 (- y 1)))) (* -918938533204673/2000000000000000 (- y 1)))) x))) (* 1418938533204673/1000000000000000 (- y 1))) x)))))
(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- (+ (* -1 (+ 1/2 (* -918938533204673/1000000000000000 y))) (* -1 (/ (- (+ (* -1 (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/4 y))) (* -1 (/ (- (* -1 (- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000)) (+ (* -1418938533204673/1000000000000000 (- (* -1 (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/4 y))) (+ (* -1418938533204673/1000000000000000 (- (* -1 (+ 1/2 (* -918938533204673/1000000000000000 y))) (* 1418938533204673/1000000000000000 (- y 1)))) (* -918938533204673/2000000000000000 (- y 1))))) (* 918938533204673/2000000000000000 (- (* -1 (+ 1/2 (* -918938533204673/1000000000000000 y))) (* 1418938533204673/1000000000000000 (- y 1)))))) x))) (+ (* -1418938533204673/1000000000000000 (- (* -1 (+ 1/2 (* -918938533204673/1000000000000000 y))) (* 1418938533204673/1000000000000000 (- y 1)))) (* -918938533204673/2000000000000000 (- y 1)))) x))) (* 1418938533204673/1000000000000000 (- y 1))) x)))))
(* -1 (* (pow x 3) (- y 1)))
(* -1 (* (pow x 3) (- (+ y (* -1 (/ (+ 1/2 (* -918938533204673/1000000000000000 y)) x))) 1)))
(* -1 (* (pow x 3) (- (+ y (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/4 y)) x)) (* -918938533204673/1000000000000000 y))) x))) 1)))
(* -1 (* (pow x 3) (- (+ y (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* -1 (/ (- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000) x)) (* -1/4 y))) x)) (* -918938533204673/1000000000000000 y))) x))) 1)))
(* -1 (* (pow x 3) (+ y (* 918938533204673/1000000000000000 (/ y x)))))
(* -1 (* (pow x 3) (+ y (* -1 (/ (+ (* -918938533204673/1000000000000000 y) (* 1/4 (/ y x))) x)))))
(* -1 (* (pow x 3) (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1/4 y) (* -918938533204673/4000000000000000 (/ y x))) x)) (* -918938533204673/1000000000000000 y)) x)))))
(+ 918938533204673/1000000000000000 (* -1 x))
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(* -1 x)
(+ (* -1 x) (* x y))
-1
(- y 1)
(/ (- 844448027808355901771309036929/1000000000000000000000000000000 (pow x 2)) (+ 918938533204673/1000000000000000 x))
(- (+ (* -1 (* y (- (* 1/4 (/ 1 (+ 1/2 x))) (/ (pow x 2) (+ 1/2 x))))) (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (+ 918938533204673/1000000000000000 x)))) (/ (pow x 2) (+ 918938533204673/1000000000000000 x)))
(* -1 (* (+ 1/2 x) (- 844448027808355901771309036929/1000000000000000000000000000000 (pow x 2))))
(+ (* -1 (* (+ 1/2 x) (- 844448027808355901771309036929/1000000000000000000000000000000 (pow x 2)))) (* y (* (+ 918938533204673/1000000000000000 x) (- 1/4 (pow x 2)))))
(* y (- 1/4 (pow x 2)))
(* y (* (+ 918938533204673/1000000000000000 x) (- 1/4 (pow x 2))))
(* y (- x 1/2))
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(* x y)
(* y (+ x (* -1 (/ x y))))
y
(* y (- 1 (/ 1 y)))
(* -1 (/ (* y (- 1/4 (pow x 2))) (+ 1/2 x)))
(* y (- (+ (* -1 (/ (- 1/4 (pow x 2)) (+ 1/2 x))) (/ 844448027808355901771309036929/1000000000000000000000000000000 (* y (+ 918938533204673/1000000000000000 x)))) (/ (pow x 2) (* y (+ 918938533204673/1000000000000000 x)))))
(* y (+ (* -1 (/ (* (+ 1/2 x) (- 844448027808355901771309036929/1000000000000000000000000000000 (pow x 2))) y)) (* (+ 918938533204673/1000000000000000 x) (- 1/4 (pow x 2)))))
(* -1 (* y (+ 1/2 (* -1 x))))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (+ (* -1 (/ (- (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (+ 918938533204673/1000000000000000 x))) (/ (pow x 2) (+ 918938533204673/1000000000000000 x))) y)) (* 1/4 (/ 1 (+ 1/2 x)))) (/ (pow x 2) (+ 1/2 x)))))
(* -1 (* y (+ (* -1 (* (+ 918938533204673/1000000000000000 x) (- 1/4 (pow x 2)))) (/ (* (+ 1/2 x) (- 844448027808355901771309036929/1000000000000000000000000000000 (pow x 2))) y))))

Outputs
(- 918938533204673/1000000000000000 (* 1/2 y))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(- (+ 918938533204673/1000000000000000 (* x (- y 1))) (* 1/2 y))
(fma.f64 #s(literal -1/2 binary64) y (fma.f64 (-.f64 y #s(literal 1 binary64)) x #s(literal 918938533204673/1000000000000000 binary64)))
(* x (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* -2000000000000000/918938533204673 (- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000))
(.f64 (-.f64 (.f64 #s(literal 918938533204673/4000000000000000 binary64) y) #s(literal 844448027808355901771309036929/2000000000000000000000000000000 binary64)) #s(literal -2000000000000000/918938533204673 binary64))
(+ (* -2000000000000000/918938533204673 (- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000)) (* -1 (* x (- (* 2000000000000000/918938533204673 (- (* 1/4 y) 844448027808355901771309036929/1000000000000000000000000000000)) (* 5675754132818692000000000000000/844448027808355901771309036929 (- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000))))))
(fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/4 binary64) y) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) #s(literal -2000000000000000/918938533204673 binary64) (.f64 #s(literal 5675754132818692000000000000000/844448027808355901771309036929 binary64) (-.f64 (.f64 #s(literal 918938533204673/4000000000000000 binary64) y) #s(literal 844448027808355901771309036929/2000000000000000000000000000000 binary64)))) x (.f64 (-.f64 (*.f64 #s(literal 918938533204673/4000000000000000 binary64) y) #s(literal 844448027808355901771309036929/2000000000000000000000000000000 binary64)) #s(literal -2000000000000000/918938533204673 binary64)))
(+ (* -2000000000000000/918938533204673 (- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000)) (* x (+ (* -1 (* x (- (* 2000000000000000/918938533204673 (+ 1/2 (* -918938533204673/1000000000000000 y))) (+ (* 2837877066409346/918938533204673 (- (* 2000000000000000/918938533204673 (- (* 1/4 y) 844448027808355901771309036929/1000000000000000000000000000000)) (* 5675754132818692000000000000000/844448027808355901771309036929 (- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000)))) (* 4000000000000000000000000000000/844448027808355901771309036929 (- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000)))))) (* -1 (- (* 2000000000000000/918938533204673 (- (* 1/4 y) 844448027808355901771309036929/1000000000000000000000000000000)) (* 5675754132818692000000000000000/844448027808355901771309036929 (- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000)))))))
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(* -1 (* x (+ (* -1 (- y 1)) (* -1 (/ (- (+ (* -1 (+ 1/2 (* -918938533204673/1000000000000000 y))) (* -1 (/ (- (+ (* -1 (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/4 y))) (* -1 (/ (- (* -1 (- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000)) (+ (* -1418938533204673/1000000000000000 (- (* -1 (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/4 y))) (+ (* -1418938533204673/1000000000000000 (- (* -1 (+ 1/2 (* -918938533204673/1000000000000000 y))) (* 1418938533204673/1000000000000000 (- y 1)))) (* -918938533204673/2000000000000000 (- y 1))))) (* 918938533204673/2000000000000000 (- (* -1 (+ 1/2 (* -918938533204673/1000000000000000 y))) (* 1418938533204673/1000000000000000 (- y 1)))))) x))) (+ (* -1418938533204673/1000000000000000 (- (* -1 (+ 1/2 (* -918938533204673/1000000000000000 y))) (* 1418938533204673/1000000000000000 (- y 1)))) (* -918938533204673/2000000000000000 (- y 1)))) x))) (* 1418938533204673/1000000000000000 (- y 1))) x)))))
(.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1418938533204673/1000000000000000 binary64) (-.f64 y #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 918938533204673/1000000000000000 binary64) y #s(literal -1/2 binary64)) (/.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (/.f64 (-.f64 (neg.f64 (-.f64 (.f64 #s(literal 918938533204673/4000000000000000 binary64) y) #s(literal 844448027808355901771309036929/2000000000000000000000000000000 binary64))) (fma.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 #s(literal -918938533204673/2000000000000000 binary64) (-.f64 y #s(literal 1 binary64)) (.f64 #s(literal -1418938533204673/1000000000000000 binary64) (fma.f64 #s(literal -1418938533204673/1000000000000000 binary64) (-.f64 y #s(literal 1 binary64)) (fma.f64 #s(literal 918938533204673/1000000000000000 binary64) y #s(literal -1/2 binary64)))))) #s(literal -1418938533204673/1000000000000000 binary64) (.f64 (fma.f64 #s(literal -1418938533204673/1000000000000000 binary64) (-.f64 y #s(literal 1 binary64)) (fma.f64 #s(literal 918938533204673/1000000000000000 binary64) y #s(literal -1/2 binary64))) #s(literal 918938533204673/2000000000000000 binary64)))) x)) (fma.f64 #s(literal -918938533204673/2000000000000000 binary64) (-.f64 y #s(literal 1 binary64)) (*.f64 #s(literal -1418938533204673/1000000000000000 binary64) (fma.f64 #s(literal -1418938533204673/1000000000000000 binary64) (-.f64 y #s(literal 1 binary64)) (fma.f64 #s(literal 918938533204673/1000000000000000 binary64) y #s(literal -1/2 binary64)))))) x))) x) (-.f64 y #s(literal 1 binary64))))
(* -1 (* (pow x 3) (- y 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 y #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (+ y (* -1 (/ (+ 1/2 (* -918938533204673/1000000000000000 y)) x))) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (-.f64 y (/.f64 (fma.f64 #s(literal -918938533204673/1000000000000000 binary64) y #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (+ y (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 844448027808355901771309036929/1000000000000000000000000000000 (* -1/4 y)) x)) (* -918938533204673/1000000000000000 y))) x))) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (-.f64 y (/.f64 (+.f64 (fma.f64 #s(literal -918938533204673/1000000000000000 binary64) y (/.f64 (fma.f64 #s(literal 1/4 binary64) y #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (+ y (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 844448027808355901771309036929/1000000000000000000000000000000 (+ (* -1 (/ (- (* 918938533204673/4000000000000000 y) 844448027808355901771309036929/2000000000000000000000000000000) x)) (* -1/4 y))) x)) (* -918938533204673/1000000000000000 y))) x))) 1)))
(.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (-.f64 y (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 #s(literal 918938533204673/4000000000000000 binary64) y) #s(literal 844448027808355901771309036929/2000000000000000000000000000000 binary64)) x) #s(literal -1 binary64) (fma.f64 #s(literal -1/4 binary64) y #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) x) #s(literal -1 binary64) (fma.f64 #s(literal -918938533204673/1000000000000000 binary64) y #s(literal 1/2 binary64))) x)) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (+ y (* 918938533204673/1000000000000000 (/ y x)))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (/.f64 y x) #s(literal 918938533204673/1000000000000000 binary64) y))
(* -1 (* (pow x 3) (+ y (* -1 (/ (+ (* -918938533204673/1000000000000000 y) (* 1/4 (/ y x))) x)))))
(.f64 (-.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/4 binary64) (.f64 #s(literal -918938533204673/1000000000000000 binary64) y)) x) y) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1/4 y) (* -918938533204673/4000000000000000 (/ y x))) x)) (* -918938533204673/1000000000000000 y)) x)))))
(.f64 (-.f64 (/.f64 (fma.f64 #s(literal -918938533204673/1000000000000000 binary64) y (/.f64 (fma.f64 #s(literal -918938533204673/4000000000000000 binary64) (/.f64 y x) (.f64 #s(literal -1/4 binary64) y)) (neg.f64 x))) x) y) (pow.f64 x #s(literal 3 binary64)))
(+ 918938533204673/1000000000000000 (* -1 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+ 918938533204673/1000000000000000 (+ (* -1 x) (* y (- x 1/2))))
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* x y))
(*.f64 (+.f64 #s(literal -1 binary64) y) x)
-1
#s(literal -1 binary64)
(- y 1)
(-.f64 y #s(literal 1 binary64))
(/ (- 844448027808355901771309036929/1000000000000000000000000000000 (pow x 2)) (+ 918938533204673/1000000000000000 x))
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(- (+ (* -1 (* y (- (* 1/4 (/ 1 (+ 1/2 x))) (/ (pow x 2) (+ 1/2 x))))) (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (+ 918938533204673/1000000000000000 x)))) (/ (pow x 2) (+ 918938533204673/1000000000000000 x)))
(fma.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 y (+.f64 #s(literal 1/2 binary64) x)) (/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x x)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(* -1 (* (+ 1/2 x) (- 844448027808355901771309036929/1000000000000000000000000000000 (pow x 2))))
(.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1/2 binary64)) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x x)))
(+ (* -1 (* (+ 1/2 x) (- 844448027808355901771309036929/1000000000000000000000000000000 (pow x 2)))) (* y (* (+ 918938533204673/1000000000000000 x) (- 1/4 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1/2 binary64)) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x x)) (.f64 (.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (-.f64 #s(literal 1/4 binary64) (.f64 x x))))
(* y (- 1/4 (pow x 2)))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) y)
(* y (* (+ 918938533204673/1000000000000000 x) (- 1/4 (pow x 2))))
(.f64 (.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (-.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(* y (- x 1/2))
(*.f64 (-.f64 x #s(literal 1/2 binary64)) y)
(* y (- (+ x (+ (* -1 (/ x y)) (* 918938533204673/1000000000000000 (/ 1 y)))) 1/2))
(*.f64 (-.f64 (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) x) #s(literal 1/2 binary64)) y)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (/ x y))))
(*.f64 (-.f64 x (/.f64 x y)) y)
y
(* y (- 1 (/ 1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)
(* -1 (/ (* y (- 1/4 (pow x 2))) (+ 1/2 x)))
(.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) x)) (neg.f64 y))
(* y (- (+ (* -1 (/ (- 1/4 (pow x 2)) (+ 1/2 x))) (/ 844448027808355901771309036929/1000000000000000000000000000000 (* y (+ 918938533204673/1000000000000000 x)))) (/ (pow x 2) (* y (+ 918938533204673/1000000000000000 x)))))
(.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))) y)
(* y (+ (* -1 (/ (* (+ 1/2 x) (- 844448027808355901771309036929/1000000000000000000000000000000 (pow x 2))) y)) (* (+ 918938533204673/1000000000000000 x) (- 1/4 (pow x 2)))))
(.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x x)) y) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) y)
(* -1 (* y (+ 1/2 (* -1 x))))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 y x))
(* -1 (* y (+ 1/2 (+ (* -1 x) (* -1 (/ (+ 918938533204673/1000000000000000 (* -1 x)) y))))))
(*.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) (neg.f64 y))
(* -1 (* y (+ (* -1 x) (/ x y))))
(*.f64 (-.f64 x (/.f64 x y)) y)
(* -1 (* y (- (/ 1 y) 1)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (* y (- (+ (* -1 (/ (- (* 844448027808355901771309036929/1000000000000000000000000000000 (/ 1 (+ 918938533204673/1000000000000000 x))) (/ (pow x 2) (+ 918938533204673/1000000000000000 x))) y)) (* 1/4 (/ 1 (+ 1/2 x)))) (/ (pow x 2) (+ 1/2 x)))))
(.f64 (fma.f64 (/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 #s(literal 1/2 binary64) x))) (neg.f64 y))
(* -1 (* y (+ (* -1 (* (+ 918938533204673/1000000000000000 x) (- 1/4 (pow x 2)))) (/ (* (+ 1/2 x) (- 844448027808355901771309036929/1000000000000000000000000000000 (pow x 2))) y))))
(.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x x)) y) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x))) y)

rewrite220.0ms (3.8%)

Memory

-11.3MiB live, 281.8MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	136
0	40	136
1	173	136
2	1411	130
0	8280	126

Stop Event

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

Counts

9 → 412

Calls

Call 1

Inputs
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(-.f64 y #s(literal 1 binary64))
(/.f64 (fma.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x x)) (-.f64 #s(literal -1/2 binary64) x) (.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) y))) (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal -1/2 binary64) x)))
(fma.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x x)) (-.f64 #s(literal -1/2 binary64) x) (.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) y)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (/.f64 (fma.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x x)) (-.f64 #s(literal -1/2 binary64) x) (.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) y))) (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal -1/2 binary64) x))))
(-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 x x))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 x x)) y)
(.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x x)) y))

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

eval66.0ms (1.1%)

Memory: 15.2MiB live, 153.4MiB allocated; 9ms collecting garbage
Compiler: Compiled 30 893 to 2 476 computations (92% saved)

prune14.0ms (0.3%)

Memory

-19.6MiB live, 31.9MiB allocated; 7ms collecting garbage

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	478	1	479
Fresh	0	0	0
Picked	1	1	2
Done	0	8	8
Total	479	10	489

Accuracy

100.0%

Counts

489 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.7%	#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))))
✓	48.5%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
	32.3%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (/.f64 #s(approx (+ (* (- 844448027808355901771309036929/1000000000000000000000000000000 (* x x)) (- -1/2 x)) (* (+ 918938533204673/1000000000000000 x) (* (- 1/4 (* x x)) y))) (.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1/2 binary64)) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 x x)))) (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal -1/2 binary64) x))))
✓	50.8%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
✓	51.5%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
✓	50.2%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))
✓	28.1%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))
✓	24.2%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64)))
✓	25.0%	#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 y x)))
✓	26.4%	#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 538 to 253 computations (53% saved)

regimes17.0ms (0.3%)

Memory

27.1MiB live, 27.1MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

4 calls:

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

-22.9MiB live, 22.9MiB allocated; 6ms 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 x #s(literal 1/2 binary64)) y))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (+.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) (-.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	y
3.0ms	x
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
98.9%	3	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
98.9%	3	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
98.4%	3	`x`
98.9%	3	`y`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes12.0ms (0.2%)

Memory

20.1MiB live, 20.1MiB allocated; 0ms collecting garbage

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

3.0ms	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
96.6%	3	`x`
81.5%	4	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
81.5%	4	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
97.5%	3	`y`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes15.0ms (0.3%)

Memory

-27.3MiB live, 18.1MiB allocated; 10ms 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) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (* (- x 1/2) y) (*.f64 y x)))
#s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))

Calls

4 calls:

7.0ms	x
2.0ms	y
2.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
2.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))

Results

Accuracy	Segments	Branch
68.9%	6	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
68.9%	6	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
77.4%	4	`x`
77.2%	4	`y`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes5.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

Counts

5 → 4

Calls

Call 1

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
77.0%	4	`y`
57.9%	4	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes2.0ms (0%)

Memory

4.2MiB live, 4.2MiB 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
74.0%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes7.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated; 0ms 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:

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
50.8%	1	`x`
50.8%	1	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
50.8%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
50.8%	1	`y`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes6.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB 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 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
1.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
49.0%	3	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
49.0%	3	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
49.3%	3	`x`
28.1%	1	`y`

Compiler

Compiled 22 to 22 computations (0% saved)

regimes8.0ms (0.1%)

Memory

-36.1MiB live, 10.0MiB allocated; 6ms 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:

4.0ms	x
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	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
1.0ms	y

Results

Accuracy	Segments	Branch
24.2%	1	`y`
24.2%	1	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
24.2%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
24.2%	1	`x`

Compiler

Compiled 22 to 22 computations (0% saved)

bsearch65.0ms (1.1%)

Memory

7.5MiB live, 62.4MiB allocated; 39ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.1796174915968302	54488.592788945105
14.0ms	-1.6673466973245412e-13	-3.5071392206844766e-17

Samples

18.0ms

272×

valid

Compiler

Compiled 660 to 559 computations (15.3% saved)

Precisions

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

const: 4.0ms (32.9% of total)

ival-sub: 3.0ms (24.7% of total)

ival-mult: 3.0ms (24.7% of total)

ival-add: 1.0ms (8.2% 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)

bsearch110.0ms (1.9%)

Memory

-3.6MiB live, 41.3MiB allocated; 14ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
93.0ms	0.1796174915968302	54488.592788945105
14.0ms	-3454.3018676884226	-0.18438307257062414

Samples

15.0ms

224×

valid

Compiler

Compiled 558 to 508 computations (9% saved)

Precisions

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

const: 4.0ms (39.5% of total)

ival-mult: 3.0ms (29.7% of total)

ival-sub: 2.0ms (19.8% of total)

ival-add: 1.0ms (9.9% 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)

bsearch93.0ms (1.6%)

Memory

8.0MiB live, 53.1MiB allocated; 13ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
12.0ms	5.2077135531004395e+107	1.8674851728060761e+109
58.0ms	0.011321323524194004	2659.7339389278764
17.0ms	-6.060026794553348e-10	-5.842331763349566e-25

Samples

71.0ms

416×

valid

Compiler

Compiled 930 to 801 computations (13.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

const: 49.0ms (80.3% of total)

ival-mult: 5.0ms (8.2% of total)

ival-sub: 4.0ms (6.6% of total)

ival-add: 2.0ms (3.3% 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)

bsearch49.0ms (0.8%)

Memory

-12.2MiB live, 33.2MiB allocated; 14ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
29.0ms	2.2264521529935307e+268	1.6318510531314343e+270
1.0ms	0.1796174915968302	54488.592788945105
15.0ms	-10689210521.160595	-3454.3018676884226

Samples

34.0ms

256×

valid

Compiler

Compiled 956 to 795 computations (16.8% saved)

Precisions

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

const: 21.0ms (75.2% of total)

ival-sub: 3.0ms (10.7% of total)

ival-mult: 3.0ms (10.7% of total)

ival-add: 1.0ms (3.6% 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)

bsearch6.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	0.1796174915968302	54488.592788945105
1.0ms	-10689210521.160595	-3454.3018676884226

Samples

2.0ms

32×

valid

Compiler

Compiled 662 to 573 computations (13.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

const: 1.0ms (72.5% of total)

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

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

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

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

bsearch31.0ms (0.5%)

Memory

30.4MiB live, 30.4MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	4.301476275271422e-12	1.8449599830659424e-8
14.0ms	-112.58358693774814	-0.022739792681724023

Samples

17.0ms

256×

valid

Compiler

Compiled 574 to 495 computations (13.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

const: 4.0ms (34.9% of total)

ival-mult: 3.0ms (26.2% of total)

ival-sub: 2.0ms (17.5% of total)

ival-add: 1.0ms (8.7% 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)

simplify42.0ms (0.7%)

Memory

-38.1MiB live, 18.5MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	401
1	106	401
2	123	401
3	152	401
4	191	401
5	225	401
6	233	401
7	238	401

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)))
(if (<=.f64 y #s(literal -817040425928351/4951760157141521099596496896 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 y #s(literal 3242591731706757/18014398509481984 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (+.f64 #s(literal -1/2 binary64) x) y #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))))))
(if (<=.f64 y #s(literal -3/2 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) (if (<=.f64 y #s(literal 7656119366529843/4503599627370496 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))))
(if (<=.f64 x #s(literal -1450710983537555/2417851639229258349412352 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 x #s(literal 1/2 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 2149999999999999981838620443171096214303178806642589187478092000667487805705789660503112245821092471714611200 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 -3600 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 3715469692580659/2251799813685248 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 y #s(literal 214999999999999992456328492862051353680864318886217442971456900258314620381002820241311450619940901940158878026167990448406643695548994507557546105498768015769864695233619437308094492028817831237149221780467104222863899593544115189260085039778424799703084296979638910976 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 (* (- x 1/2) y) (*.f64 #s(literal -1/2 binary64) y))))))
(if (<=.f64 y #s(literal -3600 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 -8106479329266893/9007199254740992 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) (if (<=.f64 x #s(literal 5440166188265831/302231454903657293676544 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)))
(if (<=.f64 y #s(literal -817040425928351/4951760157141521099596496896 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 y #s(literal 3242591731706757/18014398509481984 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (fma.f64 (+.f64 #s(literal -1/2 binary64) x) y #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))))))
(if (or (<=.f64 y #s(literal -817040425928351/4951760157141521099596496896 binary64)) (not (<=.f64 y #s(literal 3242591731706757/18014398509481984 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) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(if (<=.f64 y #s(literal -3/2 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) (if (<=.f64 y #s(literal 7656119366529843/4503599627370496 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (*.f64 (-.f64 x #s(literal 1/2 binary64)) y))))
(if (or (<=.f64 y #s(literal -3/2 binary64)) (not (<=.f64 y #s(literal 7656119366529843/4503599627370496 binary64)))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (.f64 (-.f64 x #s(literal 1/2 binary64)) y)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(if (<=.f64 x #s(literal -1450710983537555/2417851639229258349412352 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 x #s(literal 1/2 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 2149999999999999981838620443171096214303178806642589187478092000667487805705789660503112245821092471714611200 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 -3600 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 3715469692580659/2251799813685248 binary64)) #s(approx (+ (- ( x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (if (<=.f64 y #s(literal 214999999999999992456328492862051353680864318886217442971456900258314620381002820241311450619940901940158878026167990448406643695548994507557546105498768015769864695233619437308094492028817831237149221780467104222863899593544115189260085039778424799703084296979638910976 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 (* (- x 1/2) y) (*.f64 #s(literal -1/2 binary64) y))))))
(if (<=.f64 y #s(literal -3600 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 -3600 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 -8106479329266893/9007199254740992 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x))) (if (<=.f64 x #s(literal 5440166188265831/302231454903657293676544 binary64)) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) #s(literal 918938533204673/1000000000000000 binary64))) #s(approx (+ (- (* x (- y 1)) (* y 1/2)) 918938533204673/1000000000000000) #s(approx (- 918938533204673/1000000000000000 x) (neg.f64 x)))))
(if (or (<=.f64 x #s(literal -8106479329266893/9007199254740992 binary64)) (not (<=.f64 x #s(literal 5440166188265831/302231454903657293676544 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)))

derivations538.0ms (9.4%)

Memory

9.0MiB live, 200.8MiB allocated; 32ms collecting garbage

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
0	763	5186
1	2766	4360
0	8362	4150

Stop Event

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

Compiler

Compiled 401 to 82 computations (79.6% saved)

preprocess111.0ms (1.9%)

Memory: -14.1MiB live, 32.0MiB allocated; 3ms collecting garbage
Compiler: Compiled 824 to 184 computations (77.7% 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	28	168
0	34	168
1	50	168
2	70	168
3	134	168
4	216	168
5	286	168
6	315	168
7	345	168
8	353	168
0	353	158

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	28	168
0	34	168
1	50	168
2	70	168
3	134	168
4	216	168
5	286	168
6	315	168
7	345	168
8	353	168
0	353	158

start0.0ms (0%)

analyze3.0ms (0.1%)

sample1.4s (24.9%)

explain131.0ms (2.3%)

preprocess24.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize35.0ms (0.6%)

series6.0ms (0.1%)

simplify158.0ms (2.8%)

rewrite380.0ms (6.6%)

eval80.0ms (1.4%)

prune6.0ms (0.1%)

simplify204.0ms (3.6%)

localize163.0ms (2.8%)

series32.0ms (0.6%)

simplify304.0ms (5.3%)

rewrite245.0ms (4.3%)

eval93.0ms (1.6%)

prune14.0ms (0.2%)

simplify11.0ms (0.2%)

localize95.0ms (1.7%)

series9.0ms (0.2%)

simplify114.0ms (2%)

rewrite311.0ms (5.4%)

eval20.0ms (0.3%)

prune6.0ms (0.1%)

simplify138.0ms (2.4%)

localize64.0ms (1.1%)

series19.0ms (0.3%)

simplify207.0ms (3.6%)

rewrite220.0ms (3.8%)

eval66.0ms (1.1%)

prune14.0ms (0.3%)

regimes17.0ms (0.3%)

regimes16.0ms (0.3%)

regimes12.0ms (0.2%)

regimes15.0ms (0.3%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch65.0ms (1.1%)

bsearch110.0ms (1.9%)

bsearch93.0ms (1.6%)

bsearch49.0ms (0.8%)

bsearch6.0ms (0.1%)

bsearch31.0ms (0.5%)

simplify42.0ms (0.7%)

derivations538.0ms (9.4%)

preprocess111.0ms (1.9%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	28	168
0	34	168
1	50	168
2	70	168
3	134	168
4	216	168
5	286	168
6	315	168
7	345	168
8	353	168
0	353	158