Metrics for Data.Number.Erf:$cinvnormcdf from erf-2.0.0.0, B

start0.0ms (0%)

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

analyze54.0ms (1.8%)

Memory

-9.1MiB live, 41.9MiB allocated; 11ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	5
68.8%	68.7%	31.2%	0.1%	0%	0%	0%	6
78.1%	78%	21.9%	0.1%	0%	0%	0%	7
82.8%	82.7%	17.2%	0.1%	0%	0%	0%	8
88.3%	88.2%	11.7%	0.1%	0%	0%	0%	9
91%	90.9%	9%	0.1%	0%	0%	0%	10
93.9%	93.9%	6%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.3s (43.3%)

Memory

51.3MiB live, 1 637.9MiB allocated; 369ms collecting garbage

Samples

935.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 605.0ms

ival-div: 230.0ms (38% of total)

ival-mult: 155.0ms (25.6% of total)

ival-add: 112.0ms (18.5% of total)

ival-sub: 88.0ms (14.5% of total)

exact: 9.0ms (1.5% of total)

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

adjust: 3.0ms (0.5% of total)

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

Bogosity

explain130.0ms (4.4%)

Memory

-19.2MiB live, 217.3MiB allocated; 22ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
45	-	-	`(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))`
0	-	-	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 x y)`
0	-	-	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
0	-	-	`(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`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

51.0ms

512×

valid

Compiler

Compiled 93 to 31 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-add: 21.0ms (60.3% of total)

ival-div: 6.0ms (17.2% of total)

ival-mult: 4.0ms (11.5% of total)

ival-sub: 2.0ms (5.7% of total)

exact: 1.0ms (2.9% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess283.0ms (9.6%)

Memory

27.7MiB live, 263.8MiB allocated; 76ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	65
1	43	61
2	68	59
3	153	59
4	370	59
5	1542	59
6	7331	59
0	9	11
0	14	11
1	21	11
2	31	11
3	68	11
4	206	11
5	1096	11
6	6736	11
0	8551	10

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))

Compiler

Compiled 11 to 9 computations (18.2% saved)

series9.0ms (0.3%)

Memory

20.5MiB live, 20.5MiB allocated; 0ms collecting garbage

Counts

9 → 47

Calls

Call 1

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

Outputs
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
x
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
1
(+ 1 (* 1/2 (* x y)))
(* 1/2 (* x y))
(* x y)
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(* x (+ (* 1/2 y) (/ 1 x)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(* y (+ (* 1/2 x) (/ 1 y)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))

Calls

6 calls:

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

simplify144.0ms (4.8%)

Memory

0.5MiB live, 186.2MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	706
1	711	684
2	2343	665
0	8278	634

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 45

Calls

Call 1

Inputs
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
x
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
1
(+ 1 (* 1/2 (* x y)))
(* 1/2 (* x y))
(* x y)
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(* x (+ (* 1/2 y) (/ 1 x)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(* y (+ (* 1/2 x) (/ 1 y)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))

Outputs
(* -1 y)
(neg.f64 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(-.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x (neg.f64 y))
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/8 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64))) x (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x (neg.f64 y))
x
y
(+ y (* -1/2 (* x (pow y 2))))
(fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 y y) y)
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(fma.f64 (.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y)
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) y (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) x))) x)) x y)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x y)))
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 (* x y))
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(* x y)
(*.f64 y x)
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) x x)
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 y x)) #s(literal 2 binary64)) (.f64 x x)) x x)
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 y x)) #s(literal 2 binary64)) (.f64 x x)) (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 y y))) x x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal -4 binary64) y) x) #s(literal -2 binary64)) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) x)) x) #s(literal -2 binary64)) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x)) x) (/.f64 #s(literal 16 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) #s(literal -2 binary64)) x)
(* x (+ (* 1/2 y) (/ 1 x)))
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) x x)
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 y x)) #s(literal 2 binary64)) (.f64 x x)) x x)
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x)) x) #s(literal -2 binary64)) x) x) #s(literal 1 binary64)))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal -4 binary64) y) x) #s(literal -2 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) x)) x) #s(literal -2 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) x)) (/.f64 #s(literal 8 binary64) (.f64 y y))) x)) x) #s(literal 2 binary64)) x)
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) y (*.f64 #s(literal 1/2 binary64) x)) y #s(literal -1 binary64)) y x)
(* y (+ 1 (* -1/2 (* x y))))
(fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 y y) y)
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(fma.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 (.f64 (.f64 x x) y) #s(literal 1/4 binary64))) y) y y)
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1/8 binary64))) y)) y #s(literal 1 binary64)) y)
(- x (* 2 (/ 1 x)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(-.f64 x (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -4 binary64) y) x) #s(literal -2 binary64)) x))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 y x)) #s(literal 2 binary64)) x) (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y)) x))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 y x)) #s(literal 2 binary64)) x)) (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y)) x))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal -4 binary64) y) x) #s(literal -2 binary64)) x)
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) y)) y) (/.f64 #s(literal -2 binary64) x))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) y)) y) (/.f64 #s(literal -2 binary64) x)) (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))))
(* y (+ (* 1/2 x) (/ 1 y)))
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 y x)) #s(literal 2 binary64)) x) (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y)) x))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 (-.f64 x (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) y)) (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) y) (/.f64 #s(literal 4 binary64) (.f64 x x))) y)) (/.f64 #s(literal 2 binary64) x))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) y)) y) (/.f64 #s(literal -2 binary64) x))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) y)) (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) y) y) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 y x)) #s(literal 2 binary64)) x))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(.f64 (neg.f64 y) (-.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))

rewrite65.0ms (2.2%)

Memory

-15.5MiB live, 73.3MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	39
0	14	39
1	54	39
0	387	36

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

9 → 51

Calls

Call 1

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

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

eval10.0ms (0.3%)

Memory: 25.9MiB live, 25.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 861 to 393 computations (78.9% saved)

prune19.0ms (0.6%)

Memory

-28.4MiB live, 16.2MiB allocated; 8ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	81	7	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	7	89

Accuracy

100.0%

Counts

89 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
	59.0%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 y y) y)))
	60.2%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -4 binary64) y) x) #s(literal -2 binary64)) x)))
▶	63.9%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
▶	60.0%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x))
▶	75.1%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
▶	26.4%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Compiler

Compiled 248 to 186 computations (25% saved)

series10.0ms (0.3%)

Memory

26.0MiB live, 26.0MiB allocated; 0ms collecting garbage

Counts

22 → 68

Calls

Call 1

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

Outputs
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
x
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
1
(+ 1 (* 1/2 (* x y)))
(* x y)
(- x y)
(/ 2 x)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
-1
(- (* 1/2 (* x y)) 1)
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (/ 1 x)))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* x (- (* 1/2 y) (/ 1 x)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(* 1/2 y)
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(* y (+ (* 1/2 x) (/ 1 y)))
(* y (- (/ x y) 1))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(* y (- (* 1/2 x) (/ 1 y)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))

Calls

6 calls:

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

simplify146.0ms (4.9%)

Memory

-20.7MiB live, 267.6MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	278	887
1	853	861
2	2881	841
0	8275	793

Stop Event

1×	iter limit
1×	node limit

Counts

68 → 66

Calls

Call 1

Inputs
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
x
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
1
(+ 1 (* 1/2 (* x y)))
(* x y)
(- x y)
(/ 2 x)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
-1
(- (* 1/2 (* x y)) 1)
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (/ 1 x)))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* x (- (* 1/2 y) (/ 1 x)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(* 1/2 y)
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(* y (+ (* 1/2 x) (/ 1 y)))
(* y (- (/ x y) 1))
(* 1/2 (* x (pow y 2)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(* y (- (* 1/2 x) (/ 1 y)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))

Outputs
(* -1 y)
(neg.f64 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) y x)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64)) #s(literal 1 binary64)) x (neg.f64 y))
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/8 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64))) x (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x (neg.f64 y))
x
y
(+ y (* -1/2 (* x (pow y 2))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) x #s(literal 1 binary64)) y)
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(fma.f64 (.f64 (.f64 y y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x y)
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) x) (.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64)))) x (.f64 (.f64 #s(literal -1/2 binary64) y) y)) x y)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(- x y)
(-.f64 x y)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) y x)
-1
#s(literal -1 binary64)
(- (* 1/2 (* x y)) 1)
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x)
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 y x)) #s(literal 2 binary64)) (.f64 x x)) x x)
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 y x)) #s(literal 2 binary64)) (.f64 x x)) (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 y y))) x x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) x)) x) #s(literal -2 binary64)) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x)) x) (/.f64 #s(literal 16 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) #s(literal -2 binary64)) x)
(* 1/2 (* x y))
(.f64 #s(literal 1/2 binary64) (.f64 y x))
(* x (+ (* 1/2 y) (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))
(* x (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* x (+ 1 (* 1/2 (pow y 2))))
(.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(*.f64 (fma.f64 y (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) x)
(* x (- (* 1/2 y) (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x)
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(.f64 (+.f64 (-.f64 (/.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) x)
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (/.f64 #s(literal -8 binary64) (.f64 y y)) x)) x) #s(literal -2 binary64)) x) x) #s(literal 1 binary64)))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) x)) x) #s(literal -2 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) x)) #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) (.f64 y y))) x) (/.f64 #s(literal 4 binary64) y)) x) #s(literal 2 binary64)) x)
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(*.f64 (fma.f64 y (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) x)
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) y x)
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) y (*.f64 #s(literal 1/2 binary64) x)) y #s(literal -1 binary64)) y x)
(* y (+ 1 (* -1/2 (* x y))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) x #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 (.f64 (.f64 x x) y) #s(literal 1/4 binary64))) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1/8 binary64))) y)) y #s(literal 1 binary64)) y)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(- x (* 2 (/ 1 x)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(-.f64 x (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(-.f64 (-.f64 x (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) x)) (/.f64 #s(literal 8 binary64) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y)))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 y x)) #s(literal 2 binary64)) x)) (/.f64 #s(literal 8 binary64) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y)))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) y)) y) (/.f64 #s(literal -2 binary64) x))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) y)) y) (/.f64 #s(literal -2 binary64) x)) (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))))
(* y (+ (* 1/2 x) (/ 1 y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal 1 binary64))
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* 1/2 (* x (pow y 2)))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 y x)) y)
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y)
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(.f64 y (fma.f64 (/.f64 (/.f64 x y) y) y (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64))))
(* y (- (* 1/2 x) (/ 1 y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 (-.f64 x (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) x)) (/.f64 #s(literal 8 binary64) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 (-.f64 x (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) y))) y)) y)) (/.f64 #s(literal 2 binary64) x))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) y)) y) (/.f64 #s(literal -2 binary64) x))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) y))) y)) y) (/.f64 #s(literal -2 binary64) x))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(.f64 (neg.f64 y) (-.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) y) y)
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))

rewrite57.0ms (1.9%)

Memory

0.1MiB live, 92.2MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	167
0	41	167
1	163	167
0	1141	159

Stop Event

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

Counts

22 → 122

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 y #s(approx (+ 1 (/ ( x y) 2)) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 y #s(approx (+ 1 (/ ( x y) 2)) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)))) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 y #s(approx (+ 1 (/ ( x y) 2)) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)))) (+.f64 (/.f64 y #s(approx (+ 1 (/ ( x y) 2)) (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64)))) x) (.f64 x x))))
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eval81.0ms (2.7%)

Memory: -10.8MiB live, 64.1MiB allocated; 87ms collecting garbage
Compiler: Compiled 4 962 to 684 computations (86.2% saved)

prune7.0ms (0.2%)

Memory

14.0MiB live, 14.0MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	177	3	180
Fresh	1	1	2
Picked	0	5	5
Done	0	0	0
Total	178	9	187

Accuracy

100.0%

Counts

187 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
▶	63.8%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
▶	59.0%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 y y) y)))
▶	60.2%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)))
✓	63.9%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	60.0%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x))
✓	75.1%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
✓	26.4%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
▶	27.3%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y)))

Compiler

Compiled 173 to 129 computations (25.4% saved)

series35.0ms (1.2%)

Memory

-25.5MiB live, 23.0MiB allocated; 11ms collecting garbage

Counts

26 → 80

Calls

Call 1

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

Outputs
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(+ (* -1 y) (* 1/2 (* x (pow y 2))))
-1
(- (* 1/2 (* x y)) 1)
(* x y)
x
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(/ -4 (* (pow x 2) y))
(/ (- (* 2 x) (* 4 (/ 1 y))) (pow x 2))
(/ -4 (* x y))
(/ (- (* 2 x) (* 4 (/ 1 y))) x)
(* -1/2 x)
1
(+ 1 (* 1/2 (* x y)))
(* 1/2 (* x y))
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* 1/2 (* x (pow y 2)))
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))
(* x (- (* 1/2 y) (/ 1 x)))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
2
(- 2 (* 4 (/ 1 (* x y))))
(* -1/2 (* x (pow y 2)))
(* x (+ (* -1/2 (pow y 2)) (/ y x)))
(* x (+ (* 1/2 y) (/ 1 x)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(* y (- (* 1/2 (* x y)) 1))
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(/ (- (* 2 (/ y x)) (* 4 (/ 1 (pow x 2)))) y)
(/ (- (* 2 y) (* 4 (/ 1 x))) y)
(pow y 2)
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(* y (- (* 1/2 x) (/ 1 y)))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(* (pow y 2) (+ (* -1/2 x) (/ 1 y)))
(* y (+ (* 1/2 x) (/ 1 y)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	x	@	inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (* (+ (* 1/2 (* y x)) -1) y) (+ (* 1/2 (* y x)) -1) 1/2 (* y x) y x -1 (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (- (/ -4 (* y x)) -2) x) (- (/ -4 (* y x)) -2) (/ -4 (* y x)) -4 -2 (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* -1/2 x) (* y y)) y) (* -1/2 x) -1/2 (* y y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* 1/2 (* y x)))
4.0ms	y	@	0	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (* (+ (* 1/2 (* y x)) -1) y) (+ (* 1/2 (* y x)) -1) 1/2 (* y x) y x -1 (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (- (/ -4 (* y x)) -2) x) (- (/ -4 (* y x)) -2) (/ -4 (* y x)) -4 -2 (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* -1/2 x) (* y y)) y) (* -1/2 x) -1/2 (* y y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* 1/2 (* y x)))
2.0ms	x	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (* (+ (* 1/2 (* y x)) -1) y) (+ (* 1/2 (* y x)) -1) 1/2 (* y x) y x -1 (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (- (/ -4 (* y x)) -2) x) (- (/ -4 (* y x)) -2) (/ -4 (* y x)) -4 -2 (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* -1/2 x) (* y y)) y) (* -1/2 x) -1/2 (* y y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* 1/2 (* y x)))
2.0ms	y	@	-inf	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (* (+ (* 1/2 (* y x)) -1) y) (+ (* 1/2 (* y x)) -1) 1/2 (* y x) y x -1 (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (- (/ -4 (* y x)) -2) x) (- (/ -4 (* y x)) -2) (/ -4 (* y x)) -4 -2 (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* -1/2 x) (* y y)) y) (* -1/2 x) -1/2 (* y y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* 1/2 (* y x)))
2.0ms	x	@	0	((- x (/ y (+ 1 (/ (* x y) 2)))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (* (+ (* 1/2 (* y x)) -1) y) (+ (* 1/2 (* y x)) -1) 1/2 (* y x) y x -1 (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ (- (/ -4 (* y x)) -2) x) (- (/ -4 (* y x)) -2) (/ -4 (* y x)) -4 -2 (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* -1/2 x) (* y y)) y) (* -1/2 x) -1/2 (* y y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ 1 (/ (* x y) 2)) (* 1/2 (* y x)))

simplify206.0ms (7%)

Memory

10.7MiB live, 190.4MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	288	1013
1	897	973
2	3017	940
0	8215	885

Stop Event

1×	iter limit
1×	node limit

Counts

80 → 78

Calls

Call 1

Inputs
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(+ (* -1 y) (* 1/2 (* x (pow y 2))))
-1
(- (* 1/2 (* x y)) 1)
(* x y)
x
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(/ -4 (* (pow x 2) y))
(/ (- (* 2 x) (* 4 (/ 1 y))) (pow x 2))
(/ -4 (* x y))
(/ (- (* 2 x) (* 4 (/ 1 y))) x)
(* -1/2 x)
1
(+ 1 (* 1/2 (* x y)))
(* 1/2 (* x y))
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(* x (+ 1 (* 1/2 (pow y 2))))
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* 1/2 (* x (pow y 2)))
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))
(* x (- (* 1/2 y) (/ 1 x)))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
2
(- 2 (* 4 (/ 1 (* x y))))
(* -1/2 (* x (pow y 2)))
(* x (+ (* -1/2 (pow y 2)) (/ y x)))
(* x (+ (* 1/2 y) (/ 1 x)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(+ x (* -1 y))
(+ x (* y (- (* 1/2 (* x y)) 1)))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(* y (- (* 1/2 (* x y)) 1))
(* y (+ 1 (* -1/2 (* x y))))
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(/ (- (* 2 (/ y x)) (* 4 (/ 1 (pow x 2)))) y)
(/ (- (* 2 y) (* 4 (/ 1 x))) y)
(pow y 2)
(- x (* 2 (/ 1 x)))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(* y (- (* 1/2 x) (/ 1 y)))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(* (pow y 2) (+ (* -1/2 x) (/ 1 y)))
(* y (+ (* 1/2 x) (/ 1 y)))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))

Outputs
(* -1 y)
(neg.f64 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -1/4 binary64) (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x (neg.f64 y))
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/8 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64))) x (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x (neg.f64 y))
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(+ (* -1 y) (* 1/2 (* x (pow y 2))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)
-1
#s(literal -1 binary64)
(- (* 1/2 (* x y)) 1)
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(* x y)
(*.f64 y x)
x
y
(+ y (* -1/2 (* x (pow y 2))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) x #s(literal 1 binary64)) y)
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y y) (.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) x y)
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) y (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) x))) x)) x y)
(/ -4 (* (pow x 2) y))
(/.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) y)
(/ (- (* 2 x) (* 4 (/ 1 y))) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)
(/ -4 (* x y))
(/.f64 #s(literal -4 binary64) (*.f64 y x))
(/ (- (* 2 x) (* 4 (/ 1 y))) x)
(-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64))
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
(* 1/2 (* x y))
(.f64 (.f64 #s(literal 1/2 binary64) y) x)
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(fma.f64 x (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) (.f64 x x)) (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y y))) x x)
(* x (+ 1 (* 1/2 (pow y 2))))
(.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(*.f64 (fma.f64 y (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) x)
(* 1/2 (* x (pow y 2)))
(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) y) x) y)
(* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2))))
(.f64 (.f64 y (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal -1 binary64) x))) x)
(* x (- (* 1/2 y) (/ 1 x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) #s(literal -2 binary64)) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) (/.f64 #s(literal 16 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) #s(literal -2 binary64)) x)
2
#s(literal 2 binary64)
(- 2 (* 4 (/ 1 (* x y))))
(-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64))
(* -1/2 (* x (pow y 2)))
(.f64 (.f64 (*.f64 #s(literal -1/2 binary64) y) x) y)
(* x (+ (* -1/2 (pow y 2)) (/ y x)))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y y) (/.f64 y x)) x)
(* x (+ (* 1/2 y) (/ 1 x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(+.f64 (-.f64 x (/.f64 #s(literal 2 binary64) x)) (.f64 (/.f64 #s(literal -4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)) (neg.f64 x)))
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(fma.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) (pow.f64 x #s(literal 3 binary64))) (-.f64 x (/.f64 #s(literal 2 binary64) x)))
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(*.f64 (fma.f64 y (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) x)
(* -1 (* x (+ (* -1/2 (pow y 2)) (/ y x))))
(.f64 (.f64 y (fma.f64 #s(literal 1/2 binary64) y (/.f64 #s(literal -1 binary64) x))) x)
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -8 binary64) (.f64 (.f64 y y) x))) x) #s(literal -2 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) x)) #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) (.f64 y y))) x) (/.f64 #s(literal 4 binary64) y)) x) #s(literal 2 binary64)) x)
(* -1 (* x (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y y) (/.f64 y x)) x)
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) x)) y #s(literal -1 binary64)) y x)
(* y (- (* 1/2 (* x y)) 1))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)
(* y (+ 1 (* -1/2 (* x y))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) x #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) x)) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1/8 binary64))) y (*.f64 #s(literal -1/2 binary64) x)) y #s(literal 1 binary64)) y)
(/ (- (* 2 (/ y x)) (* 4 (/ 1 (pow x 2)))) y)
(/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) y (/.f64 #s(literal -4 binary64) x)) x) y)
(/ (- (* 2 y) (* 4 (/ 1 x))) y)
(-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64))
(pow y 2)
(*.f64 y y)
(- x (* 2 (/ 1 x)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(-.f64 x (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x))
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(-.f64 (-.f64 x (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) x)) (/.f64 #s(literal 8 binary64) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y)))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) x)) (/.f64 #s(literal 8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) y)))
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y)
(* (pow y 2) (- (+ (* 1/2 x) (/ x (pow y 2))) (/ 1 y)))
(.f64 y (fma.f64 (/.f64 x (.f64 y y)) y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))))
(* y (- (* 1/2 x) (/ 1 y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) y)) y) (/.f64 #s(literal -2 binary64) x))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) y)) y) (/.f64 #s(literal -2 binary64) x)) (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))))
(* (pow y 2) (+ (* -1/2 x) (/ 1 y)))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) x #s(literal 1 binary64)) y)
(* y (+ (* 1/2 x) (/ 1 y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal 1 binary64))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 (-.f64 x (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) x)) (/.f64 #s(literal 8 binary64) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 (-.f64 x (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) y))) y)) y)) (/.f64 #s(literal 2 binary64) x))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* -1 (/ x y))) y)) (* 1/2 x)))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)) y) y)
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) y)) y) (/.f64 #s(literal -2 binary64) x))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) y))) y)) y) (/.f64 #s(literal -2 binary64) x))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y))

rewrite73.0ms (2.5%)

Memory

13.9MiB live, 104.7MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	239
0	53	237
1	215	237
0	1483	227

Stop Event

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

Counts

26 → 155

Calls

Call 1

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

Outputs
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)))
#s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y))
(.f64 (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)
(.f64 y (fma.f64 (.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) y) (-.f64 (.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) y) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 y x) #s(literal -1/2 binary64))))
(/.f64 (.f64 y (-.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 y x) #s(literal -1/2 binary64))))
(fma.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) y (*.f64 #s(literal -1 binary64) y))
(fma.f64 #s(literal -1 binary64) y (.f64 (.f64 (*.f64 y x) #s(literal 1/2 binary64)) y))
(fma.f64 y (.f64 (.f64 y x) #s(literal 1/2 binary64)) (*.f64 y #s(literal -1 binary64)))
(fma.f64 y #s(literal -1 binary64) (.f64 y (.f64 (*.f64 y x) #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) y) (.f64 #s(literal -1 binary64) y))
(+.f64 (.f64 #s(literal -1 binary64) y) (.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) y))
(+.f64 (.f64 y (.f64 (.f64 y x) #s(literal 1/2 binary64))) (.f64 y #s(literal -1 binary64)))
(+.f64 (.f64 y #s(literal -1 binary64)) (.f64 y (.f64 (.f64 y x) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 y x) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 y x) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 y x) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal -1 binary64))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) y #s(literal -1 binary64))
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
(fma.f64 y (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(-.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) y) #s(literal 1/2 binary64)))
(-.f64 #s(literal -1 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) y)) x))
(-.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (.f64 #s(literal 1/2 binary64) y)))
(-.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal -1/2 binary64) x) y))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 y x) #s(literal -1/2 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 y x) #s(literal -1/2 binary64)))))
(+.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 y x)
(*.f64 x y)
y
x
#s(literal -1 binary64)
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 #s(approx (/ y (+ 1 (/ ( x y) 2))) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 y x)) #s(literal -2 binary64)) x)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(approx (/ y (+ 1 (/ ( x y) 2))) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)) x)))
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eval33.0ms (1.1%)

Memory: 4.7MiB live, 62.0MiB allocated; 10ms collecting garbage
Compiler: Compiled 7 226 to 933 computations (87.1% saved)

prune12.0ms (0.4%)

Memory

-14.3MiB live, 29.9MiB allocated; 5ms collecting garbage

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	231	0	231
Fresh	0	0	0
Picked	0	4	4
Done	0	5	5
Total	231	9	240

Accuracy

100.0%

Counts

240 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
✓	63.8%	(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
✓	59.0%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 y y) y)))
✓	60.2%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 y x)) #s(literal -2 binary64)) x)))
✓	63.9%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	60.0%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x))
✓	75.1%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
✓	26.4%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
✓	27.3%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) #s(approx (+ (* (+ (* (* 1/2 y) x) -1) y) x) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 y x) #s(literal -1 binary64)) y)))

Compiler

Compiled 378 to 197 computations (47.9% saved)

regimes12.0ms (0.4%)

Memory

-11.5MiB live, 34.6MiB allocated; 2ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes8.0ms (0.3%)

Memory

28.6MiB live, 28.6MiB allocated; 0ms collecting garbage

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
91.4%	3	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
88.8%	3	`x`
96.6%	3	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes6.0ms (0.2%)

Memory

-27.3MiB live, 18.9MiB allocated; 3ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
75.1%	1	`x`
75.1%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
75.1%	1	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes3.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
26.4%	1	`y`
26.4%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
26.4%	1	`x`

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch30.0ms (1%)

Memory

-20.1MiB live, 80.5MiB allocated; 7ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	3.126313947025588e+114	1.2783718637635412e+116
15.0ms	-1.5033264849450096e+108	-4.244024582483201e+102

Samples

16.0ms

256×

valid

Compiler

Compiled 494 to 414 computations (16.2% saved)

Precisions

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

ival-div: 5.0ms (51.3% of total)

ival-mult: 2.0ms (20.5% of total)

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

ival-add: 1.0ms (10.3% 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)

simplify40.0ms (1.4%)

Memory

7.2MiB live, 52.8MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	86
1	47	86
2	67	86
3	118	86
4	345	86
5	2552	86

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -58000000000000004057866359120677578845638918674551323684082616574515486411353468469865464707739326995234816 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 y #s(literal 10500000000000000163373869359401851754816114667671145050382591094523754702229934884282346594107998200600165949112320 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Outputs
(-.f64 x (/.f64 y #s(approx (+ 1 (/ (* x y) 2)) (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -58000000000000004057866359120677578845638918674551323684082616574515486411353468469865464707739326995234816 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 y #s(literal 10500000000000000163373869359401851754816114667671145050382591094523754702229934884282346594107998200600165949112320 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))))
(if (or (<=.f64 y #s(literal -58000000000000004057866359120677578845638918674551323684082616574515486411353468469865464707739326995234816 binary64)) (not (<=.f64 y #s(literal 10500000000000000163373869359401851754816114667671145050382591094523754702229934884282346594107998200600165949112320 binary64)))) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

derivations178.0ms (6%)

Memory

-0.9MiB live, 189.1MiB allocated; 30ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 86 to 31 computations (64% saved)

preprocess28.0ms (1%)

Memory: -1.0MiB live, 42.8MiB allocated; 12ms collecting garbage
Compiler: Compiled 194 to 80 computations (58.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze54.0ms (1.8%)

sample1.3s (43.3%)

explain130.0ms (4.4%)

preprocess283.0ms (9.6%)

eval0.0ms (0%)

prune0.0ms (0%)

series9.0ms (0.3%)

simplify144.0ms (4.8%)

rewrite65.0ms (2.2%)

eval10.0ms (0.3%)

prune19.0ms (0.6%)

series10.0ms (0.3%)

simplify146.0ms (4.9%)

rewrite57.0ms (1.9%)

eval81.0ms (2.7%)

prune7.0ms (0.2%)

series35.0ms (1.2%)

simplify206.0ms (7%)

rewrite73.0ms (2.5%)

eval33.0ms (1.1%)

prune12.0ms (0.4%)

regimes12.0ms (0.4%)

regimes8.0ms (0.3%)

regimes6.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch30.0ms (1%)

simplify40.0ms (1.4%)

derivations178.0ms (6%)

preprocess28.0ms (1%)

end0.0ms (0%)

Profiling