Metrics for Graphics.Rendering.Chart.Plot.AreaSpots:renderSpotLegend from Chart-1.5.3

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 10 to 9 computations (10% saved)

sample890.0ms (12.8%)

Memory

-13.8MiB live, 1 117.5MiB allocated; 223ms collecting garbage

Samples

478.0ms	7 909×	0	valid
67.0ms	166×	1	valid
32.0ms	103×	2	valid
16.0ms	78×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 325.0ms

ival-div: 77.0ms (23.7% of total)

adjust: 66.0ms (20.3% of total)

ival-fabs: 66.0ms (20.3% of total)

ival-sub: 59.0ms (18.2% of total)

ival-add: 41.0ms (12.6% of total)

ival-true: 6.0ms (1.8% of total)

exact: 5.0ms (1.5% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain98.0ms (1.4%)

Memory

-6.9MiB live, 141.3MiB allocated; 14ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
-	-	`(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))`
-	-	`(-.f64 y x)`
-	-	`y`
-	-	`#s(literal 2 binary64)`
-	-	`(fabs.f64 (-.f64 y x))`
-	-	`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

54.0ms	500×	0	valid
1.0ms	8×	2	valid
0.0ms	2×	3	valid
0.0ms	2×	1	valid

Compiler

Compiled 60 to 25 computations (58.3% saved)

Precisions

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

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

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

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

ival-add: 2.0ms (14.6% of total)

adjust: 1.0ms (7.3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess244.0ms (3.5%)

Memory

31.6MiB live, 218.3MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	48
1	41	46
2	71	46
3	126	46
4	244	46
5	433	46
6	1501	46
7	5175	46
0	7	8
0	11	8
1	18	8
2	26	8
3	46	8
4	95	8
5	201	8
6	775	8
7	5214	8
0	8049	7

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 8 to 7 computations (12.5% 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

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

series4.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated; 0ms collecting garbage

Counts

7 → 19

Calls

Call 1

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

Outputs
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
x
(fabs (- y x))
y
(+ y (* -1 x))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* -1 x)
(* x (- (/ y x) 1))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* 1/2 (fabs (+ y (* -1 x))))
(fabs (+ y (* -1 x)))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(- y x)
(* y (+ 1 (* -1 (/ x y))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(fabs (neg (+ x (* -1 y))))
(* -1 (* y (- (/ x y) 1)))

Calls

6 calls:

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

simplify159.0ms (2.3%)

Memory

8.4MiB live, 244.3MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	84
1	127	84
2	362	84
3	1104	84
4	4298	84
0	8156	80

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 17

Calls

Call 1

Inputs
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
x
(fabs (- y x))
y
(+ y (* -1 x))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* -1 x)
(* x (- (/ y x) 1))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* 1/2 (fabs (+ y (* -1 x))))
(fabs (+ y (* -1 x)))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(- y x)
(* y (+ 1 (* -1 (/ x y))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(* 1/2 (fabs (neg (+ x (* -1 y)))))
(fabs (neg (+ x (* -1 y))))
(* -1 (* y (- (/ x y) 1)))

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

rewrite100.0ms (1.4%)

Memory

-16.7MiB live, 77.7MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
0	11	24
1	47	24
0	335	24

Stop Event

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

Counts

7 → 36

Calls

Call 1

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

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

eval4.0ms (0.1%)

Memory: 13.3MiB live, 13.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 679 to 156 computations (77% saved)

prune19.0ms (0.3%)

Memory

-30.3MiB live, 27.5MiB allocated; 12ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	38	5	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	5	44

Accuracy

100.0%

Counts

44 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.1%	(/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 x x)) (-.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) x))
▶	31.7%	(/.f64 (+.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) (-.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) x) (*.f64 x x)))
▶	50.7%	(+.f64 x (/.f64 (*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64)))
▶	99.9%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))
▶	50.2%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))

Compiler

Compiled 190 to 120 computations (36.8% saved)

series44.0ms (0.6%)

Memory

8.2MiB live, 99.0MiB allocated; 7ms collecting garbage

Counts

29 → 153

Calls

Call 1

Inputs
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(fabs.f64 (-.f64 x y))
(-.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(+.f64 x (/.f64 (*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)))
(sqrt.f64 (-.f64 y x))
(-.f64 y x)
#s(literal 2 binary64)
(/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 x x)) (-.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) x))
(-.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 x x))
(/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))
(pow.f64 (-.f64 y x) #s(literal 2 binary64))
#s(literal 4 binary64)
(*.f64 x x)
(-.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) x)
(/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) (-.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) x) (*.f64 x x)))
(+.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 x #s(literal 3 binary64))
(fma.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) (-.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) x) (*.f64 x x))

Outputs
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(* 1/2 (fabs (- x y)))
(+ x (* 1/2 (fabs (- x y))))
(fabs (- x y))
(* -1 y)
(- x y)
x
(* 1/2 y)
(+ (* 1/2 x) (* 1/2 y))
(+ (* -1/2 x) (* 1/2 y))
y
(+ y (* -1 x))
(sqrt y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y))))))) (* -1 (/ y (fabs (- x y))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (/ y (fabs (- x y)))) (* x (- (* -2 (/ (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))) (fabs (- x y)))) (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(* 1/4 (pow y 2))
(+ (* -1/2 (* x y)) (* 1/4 (pow y 2)))
(+ (* 1/4 (pow y 2)) (* x (+ (* -3/4 x) (* -1/2 y))))
(+ (* 1/4 (pow y 2)) (* x (+ (* -1/2 y) (* 1/4 x))))
(pow y 2)
(+ (* -2 (* x y)) (pow y 2))
(+ (* x (+ x (* -2 y))) (pow y 2))
(pow x 2)
(+ (* -1 x) (* 1/2 (fabs (- x y))))
(* 1/8 (pow (fabs (- x y)) 3))
(+ (* 1/8 (pow (fabs (- x y)) 3)) (pow x 3))
(pow x 3)
(* 1/4 (pow (fabs (- x y)) 2))
(+ (* -1/2 (* x (fabs (- x y)))) (* 1/4 (pow (fabs (- x y)) 2)))
(+ (* 1/4 (pow (fabs (- x y)) 2)) (* x (+ x (* -1/2 (fabs (- x y))))))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (+ 1 (* -1 (/ y x))))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (/ y x))))
(* -1/2 x)
(* x (- (* 1/2 (/ y x)) 1/2))
(* -1 x)
(* x (- (/ y x) 1))
(* (sqrt x) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* 3/4 x)
(* x (- (+ 3/4 (* 1/2 (/ y x))) (* -3/8 (/ (fabs (- x y)) x))))
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x)))))
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (+ (* 1/2 (/ y x)) (* 1/2 (/ (* (fabs (- x y)) (- (* -1/4 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y)))))))) (pow x 3)))))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x)))))
(* -3/4 (pow x 2))
(* (pow x 2) (- (* -1/2 (/ y x)) 3/4))
(* (pow x 2) (- (+ (* -1/2 (/ y x)) (* 1/4 (/ (pow y 2) (pow x 2)))) 3/4))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/2 (/ y x))))
(* (pow x 2) (+ 1/4 (+ (* -1/2 (/ y x)) (* 1/4 (/ (pow y 2) (pow x 2))))))
(* (pow x 2) (+ 1 (* -2 (/ y x))))
(* (pow x 2) (+ 1 (+ (* -2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* x (- (* 1/2 (/ (fabs (- x y)) x)) 1))
(* x (- (+ 1 (* -1 (/ (+ (* -1/4 (pow (fabs (- x y)) 2)) (* 1/4 (pow (fabs (- x y)) 2))) (pow x 2)))) (* -1/2 (/ (fabs (- x y)) x))))
(* x (- (+ 1 (* -1/2 (/ (* (fabs (- x y)) (+ (* -1/4 (pow (fabs (- x y)) 2)) (* 1/4 (pow (fabs (- x y)) 2)))) (pow x 3)))) (+ (* -1/2 (/ (fabs (- x y)) x)) (+ (* -1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2)))))))
(* (pow x 3) (+ 1 (* 1/8 (/ (pow (fabs (- x y)) 3) (pow x 3)))))
(* (pow x 2) (+ 1 (* -1/2 (/ (fabs (- x y)) x))))
(* (pow x 2) (+ 1 (+ (* -1/2 (/ (fabs (- x y)) x)) (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))))))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(* 1/2 (fabs (neg (+ y (* -1 x)))))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (+ 1/2 (* -1/2 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* -1 (* x (- (* -1 (/ (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (pow y 2)) (* 1/2 (/ (* (fabs (neg (+ y (* -1 x)))) (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))))))) x))) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* (pow x 2) (- (* -1 (/ (+ (* -1/4 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/4))
(* (pow x 2) (+ 1/4 (* -1 (/ (+ (* -1/4 (/ (pow y 2) x)) (* 1/2 y)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* 2 y)) x))))
(* -1 (* x (+ 1 (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1/4 (/ (pow (fabs (neg (+ y (* -1 x)))) 2) x)) (* 1/4 (/ (pow (fabs (neg (+ y (* -1 x)))) 2) x))) (* -1/2 (fabs (neg (+ y (* -1 x)))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* (fabs (neg (+ y (* -1 x)))) (+ (* -1/4 (pow (fabs (neg (+ y (* -1 x)))) 2)) (* 1/4 (pow (fabs (neg (+ y (* -1 x)))) 2)))) x)) (+ (* -1/4 (pow (fabs (neg (+ y (* -1 x)))) 2)) (* 1/4 (pow (fabs (neg (+ y (* -1 x)))) 2)))) x)) (* -1/2 (fabs (neg (+ y (* -1 x)))))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1/8 (/ (pow (fabs (neg (+ y (* -1 x)))) 3) (pow x 3))) 1)))
(* 1/8 (pow (fabs (neg (+ y (* -1 x)))) 3))
(* (pow x 2) (+ 1 (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1/4 (/ (pow (fabs (neg (+ y (* -1 x)))) 2) x)) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x))))
(+ x (* -1 y))
(+ x (* -1/2 x))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(- y x)
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(/ (- (* 1/4 (pow x 2)) (pow x 2)) (- (* 1/2 (fabs (- x y))) x))
(- (+ (* -1/2 (/ (* x y) (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))) (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))
(- (+ (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (* y (+ (* -1/2 (/ x (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ y (- (* 1/2 (fabs (- x y))) x)))))) (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))
(- (* 1/4 (pow x 2)) (pow x 2))
(- (+ (* -1/2 (* x y)) (* 1/4 (pow x 2))) (pow x 2))
(- (+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/4 y)))) (pow x 2))
(+ (* -1/2 (* x y)) (* 1/4 (pow x 2)))
(+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/4 y))))
(+ (* -2 (* x y)) (pow x 2))
(+ (* y (+ y (* -2 x))) (pow x 2))
(- (* 1/2 (fabs (- x y))) x)
(/ (+ (* 1/8 (pow (fabs (- x y)) 3)) (pow x 3)) (+ (* 1/2 (* (fabs (- x y)) (- (* 1/2 (fabs (- x y))) x))) (pow x 2)))
(+ (* 1/2 (* (fabs (- x y)) (- (* 1/2 (fabs (- x y))) x))) (pow x 2))
(* y (- (/ x y) 1))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(* y (+ 1/2 (* -1/2 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
(* 1/4 (/ (pow y 2) (- (* 1/2 (fabs (- x y))) x)))
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x)))))
(* (pow y 2) (- (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (+ (* 1/4 (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x))))) (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))))
(* (pow y 2) (+ 1/4 (* -1/2 (/ x y))))
(* (pow y 2) (- (+ 1/4 (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2))))) (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1/4 (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2))))))
(* (pow y 2) (+ 1 (* -2 (/ x y))))
(* (pow y 2) (+ 1 (+ (* -2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* 1/2 (fabs (+ x (* -1 y))))
(* -1/2 (* y (pow (sqrt -1) 2)))
(* -1 (* y (+ (* -1 (/ (+ x (* 1/2 (* x (pow (sqrt -1) 2)))) y)) (* 1/2 (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/2 (/ (* x (pow (sqrt -1) 2)) y)) (* 1/2 (pow (sqrt -1) 2)))))
(* -1 (* y (pow (sqrt -1) 2)))
(* -1 (* y (+ (* -1 (/ (* x (pow (sqrt -1) 2)) y)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(* -1 (* y (- (/ x y) 1)))
(* 1/4 (/ (pow y 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x)))
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) y)) (* 1/2 (/ x (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) y)) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (- (* 1/4 (pow x 2)) (pow x 2)) y)) (* 1/2 x)) y))))
(* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 x)) y))))
(- (* 1/2 (fabs (+ x (* -1 y)))) x)
(/ (+ (* 1/8 (pow (fabs (+ x (* -1 y))) 3)) (pow x 3)) (+ (* 1/2 (* (fabs (+ x (* -1 y))) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (pow x 2)))
(+ (* 1/8 (pow (fabs (+ x (* -1 y))) 3)) (pow x 3))
(* 1/8 (pow (fabs (+ x (* -1 y))) 3))
(+ (* 1/2 (* (fabs (+ x (* -1 y))) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (pow x 2))

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	x	@	inf	((+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) x y 1/2 (+ x (/ (fabs (- y x)) 2)) (* (fabs (- x y)) 1/2) (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (/ (* (sqrt (- y x)) (sqrt (- y x))) 2) (* (sqrt (- y x)) (sqrt (- y x))) (sqrt (- y x)) (- y x) 2 (/ (- (/ (pow (- y x) 2) 4) (* x x)) (- (/ (fabs (- x y)) 2) x)) (- (/ (pow (- y x) 2) 4) (* x x)) (/ (pow (- y x) 2) 4) (pow (- y x) 2) 4 (* x x) (- (/ (fabs (- x y)) 2) x) (/ (fabs (- x y)) 2) (/ (+ (pow (/ (fabs (- x y)) 2) 3) (pow x 3)) (+ (* (/ (fabs (- x y)) 2) (- (/ (fabs (- x y)) 2) x)) (* x x))) (+ (pow (/ (fabs (- x y)) 2) 3) (pow x 3)) (pow (/ (fabs (- x y)) 2) 3) 3 (pow x 3) (+ (* (/ (fabs (- x y)) 2) (- (/ (fabs (- x y)) 2) x)) (* x x)))
9.0ms	y	@	inf	((+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) x y 1/2 (+ x (/ (fabs (- y x)) 2)) (* (fabs (- x y)) 1/2) (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (/ (* (sqrt (- y x)) (sqrt (- y x))) 2) (* (sqrt (- y x)) (sqrt (- y x))) (sqrt (- y x)) (- y x) 2 (/ (- (/ (pow (- y x) 2) 4) (* x x)) (- (/ (fabs (- x y)) 2) x)) (- (/ (pow (- y x) 2) 4) (* x x)) (/ (pow (- y x) 2) 4) (pow (- y x) 2) 4 (* x x) (- (/ (fabs (- x y)) 2) x) (/ (fabs (- x y)) 2) (/ (+ (pow (/ (fabs (- x y)) 2) 3) (pow x 3)) (+ (* (/ (fabs (- x y)) 2) (- (/ (fabs (- x y)) 2) x)) (* x x))) (+ (pow (/ (fabs (- x y)) 2) 3) (pow x 3)) (pow (/ (fabs (- x y)) 2) 3) 3 (pow x 3) (+ (* (/ (fabs (- x y)) 2) (- (/ (fabs (- x y)) 2) x)) (* x x)))
6.0ms	y	@	0	((+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) x y 1/2 (+ x (/ (fabs (- y x)) 2)) (* (fabs (- x y)) 1/2) (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (/ (* (sqrt (- y x)) (sqrt (- y x))) 2) (* (sqrt (- y x)) (sqrt (- y x))) (sqrt (- y x)) (- y x) 2 (/ (- (/ (pow (- y x) 2) 4) (* x x)) (- (/ (fabs (- x y)) 2) x)) (- (/ (pow (- y x) 2) 4) (* x x)) (/ (pow (- y x) 2) 4) (pow (- y x) 2) 4 (* x x) (- (/ (fabs (- x y)) 2) x) (/ (fabs (- x y)) 2) (/ (+ (pow (/ (fabs (- x y)) 2) 3) (pow x 3)) (+ (* (/ (fabs (- x y)) 2) (- (/ (fabs (- x y)) 2) x)) (* x x))) (+ (pow (/ (fabs (- x y)) 2) 3) (pow x 3)) (pow (/ (fabs (- x y)) 2) 3) 3 (pow x 3) (+ (* (/ (fabs (- x y)) 2) (- (/ (fabs (- x y)) 2) x)) (* x x)))
6.0ms	y	@	-inf	((+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) x y 1/2 (+ x (/ (fabs (- y x)) 2)) (* (fabs (- x y)) 1/2) (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (/ (* (sqrt (- y x)) (sqrt (- y x))) 2) (* (sqrt (- y x)) (sqrt (- y x))) (sqrt (- y x)) (- y x) 2 (/ (- (/ (pow (- y x) 2) 4) (* x x)) (- (/ (fabs (- x y)) 2) x)) (- (/ (pow (- y x) 2) 4) (* x x)) (/ (pow (- y x) 2) 4) (pow (- y x) 2) 4 (* x x) (- (/ (fabs (- x y)) 2) x) (/ (fabs (- x y)) 2) (/ (+ (pow (/ (fabs (- x y)) 2) 3) (pow x 3)) (+ (* (/ (fabs (- x y)) 2) (- (/ (fabs (- x y)) 2) x)) (* x x))) (+ (pow (/ (fabs (- x y)) 2) 3) (pow x 3)) (pow (/ (fabs (- x y)) 2) 3) 3 (pow x 3) (+ (* (/ (fabs (- x y)) 2) (- (/ (fabs (- x y)) 2) x)) (* x x)))
6.0ms	x	@	-inf	((+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) x y 1/2 (+ x (/ (fabs (- y x)) 2)) (* (fabs (- x y)) 1/2) (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (/ (* (sqrt (- y x)) (sqrt (- y x))) 2) (* (sqrt (- y x)) (sqrt (- y x))) (sqrt (- y x)) (- y x) 2 (/ (- (/ (pow (- y x) 2) 4) (* x x)) (- (/ (fabs (- x y)) 2) x)) (- (/ (pow (- y x) 2) 4) (* x x)) (/ (pow (- y x) 2) 4) (pow (- y x) 2) 4 (* x x) (- (/ (fabs (- x y)) 2) x) (/ (fabs (- x y)) 2) (/ (+ (pow (/ (fabs (- x y)) 2) 3) (pow x 3)) (+ (* (/ (fabs (- x y)) 2) (- (/ (fabs (- x y)) 2) x)) (* x x))) (+ (pow (/ (fabs (- x y)) 2) 3) (pow x 3)) (pow (/ (fabs (- x y)) 2) 3) 3 (pow x 3) (+ (* (/ (fabs (- x y)) 2) (- (/ (fabs (- x y)) 2) x)) (* x x)))

simplify163.0ms (2.3%)

Memory

-13.5MiB live, 226.9MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	609	2820
1	2001	2569
0	8602	2423

Stop Event

1×	iter limit
1×	node limit

Counts

153 → 151

Calls

Call 1

Inputs
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(* 1/2 (fabs (- x y)))
(+ x (* 1/2 (fabs (- x y))))
(fabs (- x y))
(* -1 y)
(- x y)
x
(* 1/2 y)
(+ (* 1/2 x) (* 1/2 y))
(+ (* -1/2 x) (* 1/2 y))
y
(+ y (* -1 x))
(sqrt y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y))))))) (* -1 (/ y (fabs (- x y))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (/ y (fabs (- x y)))) (* x (- (* -2 (/ (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))) (fabs (- x y)))) (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(* 1/4 (pow y 2))
(+ (* -1/2 (* x y)) (* 1/4 (pow y 2)))
(+ (* 1/4 (pow y 2)) (* x (+ (* -3/4 x) (* -1/2 y))))
(+ (* 1/4 (pow y 2)) (* x (+ (* -1/2 y) (* 1/4 x))))
(pow y 2)
(+ (* -2 (* x y)) (pow y 2))
(+ (* x (+ x (* -2 y))) (pow y 2))
(pow x 2)
(+ (* -1 x) (* 1/2 (fabs (- x y))))
(* 1/8 (pow (fabs (- x y)) 3))
(+ (* 1/8 (pow (fabs (- x y)) 3)) (pow x 3))
(pow x 3)
(* 1/4 (pow (fabs (- x y)) 2))
(+ (* -1/2 (* x (fabs (- x y)))) (* 1/4 (pow (fabs (- x y)) 2)))
(+ (* 1/4 (pow (fabs (- x y)) 2)) (* x (+ x (* -1/2 (fabs (- x y))))))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (+ 1 (* -1 (/ y x))))
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (/ y x))))
(* -1/2 x)
(* x (- (* 1/2 (/ y x)) 1/2))
(* -1 x)
(* x (- (/ y x) 1))
(* (sqrt x) (sqrt -1))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* 3/4 x)
(* x (- (+ 3/4 (* 1/2 (/ y x))) (* -3/8 (/ (fabs (- x y)) x))))
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x)))))
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (+ (* 1/2 (/ y x)) (* 1/2 (/ (* (fabs (- x y)) (- (* -1/4 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y)))))))) (pow x 3)))))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x)))))
(* -3/4 (pow x 2))
(* (pow x 2) (- (* -1/2 (/ y x)) 3/4))
(* (pow x 2) (- (+ (* -1/2 (/ y x)) (* 1/4 (/ (pow y 2) (pow x 2)))) 3/4))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/2 (/ y x))))
(* (pow x 2) (+ 1/4 (+ (* -1/2 (/ y x)) (* 1/4 (/ (pow y 2) (pow x 2))))))
(* (pow x 2) (+ 1 (* -2 (/ y x))))
(* (pow x 2) (+ 1 (+ (* -2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* x (- (* 1/2 (/ (fabs (- x y)) x)) 1))
(* x (- (+ 1 (* -1 (/ (+ (* -1/4 (pow (fabs (- x y)) 2)) (* 1/4 (pow (fabs (- x y)) 2))) (pow x 2)))) (* -1/2 (/ (fabs (- x y)) x))))
(* x (- (+ 1 (* -1/2 (/ (* (fabs (- x y)) (+ (* -1/4 (pow (fabs (- x y)) 2)) (* 1/4 (pow (fabs (- x y)) 2)))) (pow x 3)))) (+ (* -1/2 (/ (fabs (- x y)) x)) (+ (* -1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2)))))))
(* (pow x 3) (+ 1 (* 1/8 (/ (pow (fabs (- x y)) 3) (pow x 3)))))
(* (pow x 2) (+ 1 (* -1/2 (/ (fabs (- x y)) x))))
(* (pow x 2) (+ 1 (+ (* -1/2 (/ (fabs (- x y)) x)) (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))))))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(* 1/2 (fabs (neg (+ y (* -1 x)))))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (+ 1/2 (* -1/2 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(* -1 (* x (- (* -1 (/ (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (pow y 2)) (* 1/2 (/ (* (fabs (neg (+ y (* -1 x)))) (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))))))) x))) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* (pow x 2) (- (* -1 (/ (+ (* -1/4 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/4))
(* (pow x 2) (+ 1/4 (* -1 (/ (+ (* -1/4 (/ (pow y 2) x)) (* 1/2 y)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (* 2 y)) x))))
(* -1 (* x (+ 1 (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1/4 (/ (pow (fabs (neg (+ y (* -1 x)))) 2) x)) (* 1/4 (/ (pow (fabs (neg (+ y (* -1 x)))) 2) x))) (* -1/2 (fabs (neg (+ y (* -1 x)))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* (fabs (neg (+ y (* -1 x)))) (+ (* -1/4 (pow (fabs (neg (+ y (* -1 x)))) 2)) (* 1/4 (pow (fabs (neg (+ y (* -1 x)))) 2)))) x)) (+ (* -1/4 (pow (fabs (neg (+ y (* -1 x)))) 2)) (* 1/4 (pow (fabs (neg (+ y (* -1 x)))) 2)))) x)) (* -1/2 (fabs (neg (+ y (* -1 x)))))) x)) 1)))
(* -1 (* (pow x 3) (- (* -1/8 (/ (pow (fabs (neg (+ y (* -1 x)))) 3) (pow x 3))) 1)))
(* 1/8 (pow (fabs (neg (+ y (* -1 x)))) 3))
(* (pow x 2) (+ 1 (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1/4 (/ (pow (fabs (neg (+ y (* -1 x)))) 2) x)) (* 1/2 (fabs (neg (+ y (* -1 x)))))) x))))
(+ x (* -1 y))
(+ x (* -1/2 x))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(- y x)
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(/ (- (* 1/4 (pow x 2)) (pow x 2)) (- (* 1/2 (fabs (- x y))) x))
(- (+ (* -1/2 (/ (* x y) (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))) (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))
(- (+ (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (* y (+ (* -1/2 (/ x (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ y (- (* 1/2 (fabs (- x y))) x)))))) (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))
(- (* 1/4 (pow x 2)) (pow x 2))
(- (+ (* -1/2 (* x y)) (* 1/4 (pow x 2))) (pow x 2))
(- (+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/4 y)))) (pow x 2))
(+ (* -1/2 (* x y)) (* 1/4 (pow x 2)))
(+ (* 1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/4 y))))
(+ (* -2 (* x y)) (pow x 2))
(+ (* y (+ y (* -2 x))) (pow x 2))
(- (* 1/2 (fabs (- x y))) x)
(/ (+ (* 1/8 (pow (fabs (- x y)) 3)) (pow x 3)) (+ (* 1/2 (* (fabs (- x y)) (- (* 1/2 (fabs (- x y))) x))) (pow x 2)))
(+ (* 1/2 (* (fabs (- x y)) (- (* 1/2 (fabs (- x y))) x))) (pow x 2))
(* y (- (/ x y) 1))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(* y (+ 1/2 (* -1/2 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
(* 1/4 (/ (pow y 2) (- (* 1/2 (fabs (- x y))) x)))
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x)))))
(* (pow y 2) (- (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (+ (* 1/4 (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x))))) (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))))
(* (pow y 2) (+ 1/4 (* -1/2 (/ x y))))
(* (pow y 2) (- (+ 1/4 (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2))))) (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1/4 (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2))))))
(* (pow y 2) (+ 1 (* -2 (/ x y))))
(* (pow y 2) (+ 1 (+ (* -2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* 1/2 (fabs (+ x (* -1 y))))
(* -1/2 (* y (pow (sqrt -1) 2)))
(* -1 (* y (+ (* -1 (/ (+ x (* 1/2 (* x (pow (sqrt -1) 2)))) y)) (* 1/2 (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/2 (/ (* x (pow (sqrt -1) 2)) y)) (* 1/2 (pow (sqrt -1) 2)))))
(* -1 (* y (pow (sqrt -1) 2)))
(* -1 (* y (+ (* -1 (/ (* x (pow (sqrt -1) 2)) y)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(* -1 (* y (- (/ x y) 1)))
(* 1/4 (/ (pow y 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x)))
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) y)) (* 1/2 (/ x (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) y)) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (- (* 1/4 (pow x 2)) (pow x 2)) y)) (* 1/2 x)) y))))
(* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 x)) y))))
(- (* 1/2 (fabs (+ x (* -1 y)))) x)
(/ (+ (* 1/8 (pow (fabs (+ x (* -1 y))) 3)) (pow x 3)) (+ (* 1/2 (* (fabs (+ x (* -1 y))) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (pow x 2)))
(+ (* 1/8 (pow (fabs (+ x (* -1 y))) 3)) (pow x 3))
(* 1/8 (pow (fabs (+ x (* -1 y))) 3))
(+ (* 1/2 (* (fabs (+ x (* -1 y))) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (pow x 2))

Outputs
(* 1/2 (fabs (- y x)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(+ x (* 1/2 (fabs (- y x))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(* 1/2 (fabs (- x y)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
x
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(+ (* 1/2 x) (* 1/2 y))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+ (* -1/2 x) (* 1/2 y))
(*.f64 #s(literal -1/2 binary64) (-.f64 x y))
y
(+ y (* -1 x))
(-.f64 y x)
(sqrt y)
(sqrt.f64 y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 y))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))) x (sqrt.f64 y))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))) x (sqrt.f64 y))
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(/.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (fabs.f64 (-.f64 x y)))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(fma.f64 (fma.f64 y (/.f64 y (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64))) (/.f64 (neg.f64 y) (fabs.f64 (-.f64 x y)))) x (/.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (fabs.f64 (-.f64 x y))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y))))))) (* -1 (/ y (fabs (- x y))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(fma.f64 (fma.f64 y (/.f64 y (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64))) (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 y (/.f64 y (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64))) (/.f64 (neg.f64 y) (fabs.f64 (-.f64 x y)))) #s(literal 3/2 binary64)) (fabs.f64 (-.f64 x y))) x (/.f64 y (fabs.f64 (-.f64 x y)))))) x (/.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (fabs.f64 (-.f64 x y))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (/ y (fabs (- x y)))) (* x (- (* -2 (/ (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))) (fabs (- x y)))) (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(fma.f64 (fma.f64 (-.f64 (.f64 (.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 y (/.f64 y (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64))) (/.f64 (neg.f64 y) (fabs.f64 (-.f64 x y)))) #s(literal 3/2 binary64)) (fabs.f64 (-.f64 x y))) (/.f64 x (fabs.f64 (-.f64 x y)))) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 y (/.f64 y (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64))) (/.f64 (neg.f64 y) (fabs.f64 (-.f64 x y)))) #s(literal 3/2 binary64)) (fabs.f64 (-.f64 x y)))) x (fma.f64 y (/.f64 y (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64))) (/.f64 (neg.f64 y) (fabs.f64 (-.f64 x y))))) x (/.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (fabs.f64 (-.f64 x y))))
(* 1/4 (pow y 2))
(.f64 #s(literal 1/4 binary64) (.f64 y y))
(+ (* -1/2 (* x y)) (* 1/4 (pow y 2)))
(.f64 (fma.f64 #s(literal 1/4 binary64) y (.f64 #s(literal -1/2 binary64) x)) y)
(+ (* 1/4 (pow y 2)) (* x (+ (* -3/4 x) (* -1/2 y))))
(fma.f64 (fma.f64 #s(literal -3/4 binary64) x (.f64 #s(literal -1/2 binary64) y)) x (.f64 #s(literal 1/4 binary64) (*.f64 y y)))
(+ (* 1/4 (pow y 2)) (* x (+ (* -1/2 y) (* 1/4 x))))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) y (.f64 #s(literal -1/2 binary64) x)) y (.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(pow y 2)
(*.f64 y y)
(+ (* -2 (* x y)) (pow y 2))
(*.f64 (fma.f64 #s(literal -2 binary64) x y) y)
(+ (* x (+ x (* -2 y))) (pow y 2))
(fma.f64 (fma.f64 #s(literal -2 binary64) x y) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (* -1 x) (* 1/2 (fabs (- x y))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))
(* 1/8 (pow (fabs (- x y)) 3))
(*.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))
(+ (* 1/8 (pow (fabs (- x y)) 3)) (pow x 3))
(fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* 1/4 (pow (fabs (- x y)) 2))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)))
(+ (* -1/2 (* x (fabs (- x y)))) (* 1/4 (pow (fabs (- x y)) 2)))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) x) (fabs.f64 (-.f64 x y))))
(+ (* 1/4 (pow (fabs (- x y)) 2)) (* x (+ x (* -1/2 (fabs (- x y))))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 (-.f64 x y)) x) x (*.f64 #s(literal 1/4 binary64) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64))))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)
(* x (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/2 (/ y x))))
(*.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (* 1/2 (/ y x)) 1/2))
(.f64 (-.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) x)
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 y y) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) x)
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 y y) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))) x)
(* 3/4 x)
(*.f64 #s(literal 3/4 binary64) x)
(* x (- (+ 3/4 (* 1/2 (/ y x))) (* -3/8 (/ (fabs (- x y)) x))))
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(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
(.f64 (-.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) y)
(* 1/4 (/ (pow y 2) (- (* 1/2 (fabs (- x y))) x)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)))
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x)))))
(.f64 (fma.f64 (/.f64 (/.f64 x y) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)))) (.f64 y y))
(* (pow y 2) (- (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (+ (* 1/4 (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x))))) (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))))
(.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal 1 binary64)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))) #s(literal 1/4 binary64) (/.f64 (.f64 (/.f64 x y) #s(literal -1/2 binary64)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)))) (/.f64 (/.f64 (.f64 x x) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))) (.f64 y y))) (*.f64 y y))
(* (pow y 2) (+ 1/4 (* -1/2 (/ x y))))
(.f64 (.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/4 binary64)) y) y)
(* (pow y 2) (- (+ 1/4 (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2))))) (/ (pow x 2) (pow y 2))))
(.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) y) (.f64 x (/.f64 x y)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/4 binary64))) (.f64 (/.f64 x y) (/.f64 x y))) (.f64 y y))
(* (pow y 2) (+ 1/4 (+ (* -1/2 (/ x y)) (* 1/4 (/ (pow x 2) (pow y 2))))))
(.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) y) (.f64 x (/.f64 x y)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/4 binary64))) (*.f64 y y))
(* (pow y 2) (+ 1 (* -2 (/ x y))))
(.f64 (.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64)) y) y)
(* (pow y 2) (+ 1 (+ (* -2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (fma.f64 (/.f64 x y) #s(literal -2 binary64) #s(literal 1 binary64))) (.f64 y y))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(+ x (* 1/2 (fabs (+ x (* -1 y)))))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 (+.f64 (/.f64 x y) #s(literal -1 binary64)) y)
(* 1/2 (fabs (+ x (* -1 y))))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(* -1/2 (* y (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/2 binary64) y)
(* -1 (* y (+ (* -1 (/ (+ x (* 1/2 (* x (pow (sqrt -1) 2)))) y)) (* 1/2 (pow (sqrt -1) 2)))))
(*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(* -1 (* y (+ (* -1/2 (/ (* x (pow (sqrt -1) 2)) y)) (* 1/2 (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)
(* -1 (* y (pow (sqrt -1) 2)))
y
(* -1 (* y (+ (* -1 (/ (* x (pow (sqrt -1) 2)) y)) (pow (sqrt -1) 2))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 y))
(* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(.f64 (neg.f64 y) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal -1/2 binary64) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal -1/2 binary64) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/16 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal -1/2 binary64) x) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))))))
(* -1 (* y (- (/ x y) 1)))
(*.f64 (neg.f64 y) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(* 1/4 (/ (pow y 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)))
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(.f64 (fma.f64 (/.f64 (/.f64 x y) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)))) (.f64 y y))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) y)) (* 1/2 (/ x (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) y)) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))) #s(literal 1/2 binary64) (/.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 x) x)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))) (neg.f64 y))) y) #s(literal -1 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)))) (.f64 y y))
(* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1 (/ (- (* 1/4 (pow x 2)) (pow x 2)) y)) (* 1/2 x)) y))))
(.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (fma.f64 (.f64 x x) #s(literal 1/4 binary64) (.f64 (neg.f64 x) x)) (neg.f64 y))) y)) (.f64 y y))
(* (pow y 2) (+ 1/4 (* -1 (/ (+ (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))))
(.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 (.f64 x (/.f64 x y)) #s(literal -1/4 binary64) (.f64 #s(literal 1/2 binary64) x)) y)) y) y)
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 x)) y))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (*.f64 (neg.f64 x) x) y)) y)) y) y)
(- (* 1/2 (fabs (+ x (* -1 y)))) x)
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x))
(/ (+ (* 1/8 (pow (fabs (+ x (* -1 y))) 3)) (pow x 3)) (+ (* 1/2 (* (fabs (+ x (* -1 y))) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (pow x 2)))
(/.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (.f64 x x)))
(+ (* 1/8 (pow (fabs (+ x (* -1 y))) 3)) (pow x 3))
(fma.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))
(* 1/8 (pow (fabs (+ x (* -1 y))) 3))
(*.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 3 binary64)) #s(literal 1/8 binary64))
(+ (* 1/2 (* (fabs (+ x (* -1 y))) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (pow x 2))
(fma.f64 (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) (neg.f64 x)) (.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)) (.f64 x x))

rewrite91.0ms (1.3%)

Memory

26.1MiB live, 170.0MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	229
0	55	161
1	248	161
0	1918	161

Stop Event

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

Counts

29 → 570

Calls

Call 1

Inputs
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))
(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)
(fabs.f64 (-.f64 x y))
(-.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
(+.f64 x (/.f64 (*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)))
(sqrt.f64 (-.f64 y x))
(-.f64 y x)
#s(literal 2 binary64)
(/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 x x)) (-.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) x))
(-.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 x x))
(/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))
(pow.f64 (-.f64 y x) #s(literal 2 binary64))
#s(literal 4 binary64)
(*.f64 x x)
(-.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) x)
(/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) (-.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) x) (*.f64 x x)))
(+.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 x #s(literal 3 binary64))
(fma.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) (-.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) x) (*.f64 x x))

Outputs
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (-.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (.f64 (-.f64 y x) #s(literal 1/2 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 (-.f64 y x) #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (.f64 (neg.f64 x) x)) (-.f64 (.f64 (-.f64 y x) #s(literal 1/2 binary64)) x))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (.f64 (-.f64 y x) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 (-.f64 y x) #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (-.f64 y x)))) (neg.f64 (sqrt.f64 (-.f64 y x))) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 y x))) (sqrt.f64 (-.f64 y x)) x)
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1/2 binary64)) x)
(fma.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1/2 binary64)) x)
(fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (-.f64 (.f64 (-.f64 y x) #s(literal 1/2 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (-.f64 y x) #s(literal 1/2 binary64)) x)))
(-.f64 x (*.f64 (neg.f64 (-.f64 y x)) #s(literal 1/2 binary64)))
(-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 y x)))
(+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 (-.f64 y x) #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (-.f64 y x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64))))))
(+.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)) x)
(+.f64 x (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 y x)))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 y x)))))
(*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) (neg.f64 (sqrt.f64 (-.f64 y x))))
(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)))
(pow.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 2 binary64))
(pow.f64 (-.f64 y x) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x)))))
(/.f64 (fabs.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (fabs.f64 (+.f64 y x)))
(/.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (fma.f64 y y (*.f64 x (+.f64 y x)))))
(/.f64 (fabs.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (fabs.f64 (+.f64 y x)))
(/.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fabs.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (+.f64 y x))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (+.f64 y x))))
(neg.f64 (neg.f64 (-.f64 y x)))
(sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(-.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 x x) (+.f64 y x)))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (.f64 x (+.f64 y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (.f64 x (+.f64 y x)))))
(-.f64 y x)
(fabs.f64 (neg.f64 (neg.f64 (-.f64 x y))))
(fabs.f64 (neg.f64 (-.f64 y x)))
(fabs.f64 (neg.f64 (-.f64 x y)))
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 x y))
(exp.f64 (/.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (+.f64 y x)))
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(fma.f64 (neg.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64))) (neg.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64))) (*.f64 x (-.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x) (/.f64 (-.f64 y x) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x) (/.f64 (-.f64 y x) #s(literal 2 binary64))))
(fma.f64 (fabs.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64))) (fabs.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64))) (*.f64 x (-.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x) (/.f64 (-.f64 y x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x) (/.f64 (-.f64 y x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) x (*.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x) (/.f64 (-.f64 y x) #s(literal 2 binary64))))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x) (/.f64 (-.f64 y x) #s(literal 2 binary64))))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x) (/.f64 (-.f64 y x) #s(literal 2 binary64))))
(fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x) (/.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x) (/.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 x x))
(fma.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x) (*.f64 x x))
(fma.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) (/.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (-.f64 y x)) (.f64 (/.f64 (sqrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (/.f64 (-.f64 y x) #s(literal 2 binary64))) (.f64 x (-.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (-.f64 y x)) (.f64 (/.f64 (sqrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x)) (.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (sqrt.f64 (-.f64 y x)) (.f64 (/.f64 (sqrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x)) (.f64 x x))
(fma.f64 (-.f64 y x) (/.f64 (-.f64 y x) #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))))
(fma.f64 (-.f64 y x) (/.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (-.f64 y x) (/.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (*.f64 x x))
(fma.f64 (-.f64 y x) (.f64 (/.f64 (sqrt.f64 (-.f64 y x)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (-.f64 y x)) #s(literal 2 binary64))) (.f64 x (-.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))))
(fma.f64 x (-.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64))) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(fma.f64 x x (*.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x) (/.f64 (-.f64 y x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x) (/.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x) (/.f64 (-.f64 y x) #s(literal 2 binary64)) (.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x) (/.f64 (-.f64 y x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))))
(-.f64 (fma.f64 x x (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x))
(-.f64 (.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x) (/.f64 (-.f64 y x) #s(literal 2 binary64))) (.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 (.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x) (/.f64 (-.f64 y x) #s(literal 2 binary64))) (.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(-.f64 (.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x) (/.f64 (-.f64 y x) #s(literal 2 binary64))) (.f64 (neg.f64 x) x))
(-.f64 (.f64 x x) (.f64 (neg.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x)) (/.f64 (-.f64 y x) #s(literal 2 binary64))))
(-.f64 (.f64 x x) (.f64 (neg.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64))) (-.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x)))
(+.f64 (/.f64 (pow.f64 (.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x) (/.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x) (/.f64 (-.f64 y x) #s(literal 2 binary64)))) (pow.f64 (.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x) (/.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x) (/.f64 (-.f64 y x) #s(literal 2 binary64)))) (pow.f64 (*.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x) (/.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(+.f64 (*.f64 x (-.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(+.f64 (.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x) (/.f64 (-.f64 y x) #s(literal 2 binary64))) (.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 (.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x) (/.f64 (-.f64 y x) #s(literal 2 binary64))) (.f64 x x))
(+.f64 (.f64 x x) (.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal 2 binary64)) x) (/.f64 (-.f64 y x) #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 x (-.f64 x (/.f64 (-.f64 y x) #s(literal 2 binary64)))))

eval98.0ms (1.4%)

Memory: -20.0MiB live, 167.5MiB allocated; 27ms collecting garbage
Compiler: Compiled 27 902 to 2 699 computations (90.3% saved)

prune18.0ms (0.3%)

Memory

22.5MiB live, 69.9MiB allocated; 1ms collecting garbage

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	835	9	844
Fresh	0	0	0
Picked	4	1	5
Done	0	0	0
Total	839	10	849

Accuracy

100.0%

Counts

849 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.8%	(/.f64 (+.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 2 binary64)) x) (.f64 x x)))
▶	11.8%	#s(approx (/ (- (/ (pow (- y x) 2) 4) (* x x)) (- (/ (fabs (- x y)) 2) x)) (*.f64 #s(literal 3/4 binary64) x))
▶	87.7%	#s(approx (/ (+ (pow (/ (fabs (- x y)) 2) 3) (pow x 3)) (+ (* (/ (fabs (- x y)) 2) (- (/ (fabs (- x y)) 2) x)) (* x x))) (*.f64 (fma.f64 (fabs.f64 (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
	56.1%	#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
	26.1%	#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) y))
▶	32.3%	#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) x))
▶	48.5%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 1/2 binary64) x))
✓	99.9%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))
	55.4%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x))
▶	46.9%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64)))

Compiler

Compiled 446 to 276 computations (38.1% saved)

series96.0ms (1.4%)

Memory

-46.5MiB live, 69.8MiB allocated; 86ms collecting garbage

Counts

24 → 101

Calls

Call 1

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

Outputs
(* 1/2 (fabs (- x y)))
(+ x (* 1/2 (fabs (- x y))))
(* 1/2 (/ (fabs (- x y)) x))
(/ (+ x (* 1/2 (fabs (- x y)))) x)
(fabs (- x y))
(* -1 y)
(- x y)
x
(/ 1/2 x)
(* 1/2 y)
(+ (* 1/2 x) (* 1/2 y))
(* 1/2 x)
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y))))))) (* -1 (/ y (fabs (- x y))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (/ y (fabs (- x y)))) (* x (- (* -2 (/ (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))) (fabs (- x y)))) (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(* 3/4 x)
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(* (sqrt y) (sqrt -1))
(+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 y)))) (* (sqrt y) (sqrt -1)))
(+ (* x (+ (* -1/8 (* (/ x (pow (sqrt -1) 3)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (sqrt (/ 1 y)) (/ 1 (sqrt -1)))))) (* (sqrt y) (sqrt -1)))
(+ (* x (+ (* 1/2 (* (sqrt (/ 1 y)) (/ 1 (sqrt -1)))) (* x (+ (* -1/8 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (/ x (pow (sqrt -1) 5)) (sqrt (/ 1 (pow y 5))))))))) (* (sqrt y) (sqrt -1)))
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (- (+ 1 (* -1 (/ (+ (* -1/4 (pow (fabs (- x y)) 2)) (* 1/4 (pow (fabs (- x y)) 2))) (pow x 2)))) (* -1/2 (/ (fabs (- x y)) x))))
(* x (- (+ 1 (* -1/2 (/ (* (fabs (- x y)) (+ (* -1/4 (pow (fabs (- x y)) 2)) (* 1/4 (pow (fabs (- x y)) 2)))) (pow x 3)))) (+ (* -1/2 (/ (fabs (- x y)) x)) (+ (* -1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2)))))))
1
(+ 1 (* 1/2 (/ (fabs (- x y)) x)))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1/2 (* 1/2 (/ y x))))
(* x (- (+ 3/4 (* 1/2 (/ y x))) (* -3/8 (/ (fabs (- x y)) x))))
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x)))))
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (+ (* 1/2 (/ y x)) (* 1/2 (/ (* (fabs (- x y)) (- (* -1/4 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y)))))))) (pow x 3)))))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x)))))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* -1/2 (* (sqrt (/ 1 (pow x 3))) y))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) y)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (* -1/16 (* (sqrt (/ 1 (pow x 7))) (pow y 3)))))))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1/4 (/ (pow (fabs (neg (+ y (* -1 x)))) 2) x)) (* 1/4 (/ (pow (fabs (neg (+ y (* -1 x)))) 2) x))) (* -1/2 (fabs (neg (+ y (* -1 x)))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* (fabs (neg (+ y (* -1 x)))) (+ (* -1/4 (pow (fabs (neg (+ y (* -1 x)))) 2)) (* 1/4 (pow (fabs (neg (+ y (* -1 x)))) 2)))) x)) (+ (* -1/4 (pow (fabs (neg (+ y (* -1 x)))) 2)) (* 1/4 (pow (fabs (neg (+ y (* -1 x)))) 2)))) x)) (* -1/2 (fabs (neg (+ y (* -1 x)))))) x)) 1)))
(+ 1 (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1 (/ (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (pow y 2)) (* 1/2 (/ (* (fabs (neg (+ y (* -1 x)))) (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))))))) x))) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* 1/2 (fabs (neg (+ y (* -1 x)))))
(* -1 (* x (- (* 1/2 (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (+ (* -1/2 (/ (* y (pow (sqrt -1) 2)) x)) (* 1/2 (pow (sqrt -1) 2))) 1)))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -1 (/ (* y (pow (sqrt -1) 2)) x)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(/ (+ (* 1/8 (pow (fabs (- x y)) 3)) (pow x 3)) (+ (* 1/2 (* (fabs (- x y)) (- (* 1/2 (fabs (- x y))) x))) (pow x 2)))
(+ x (* -1 y))
y
(+ x (* -1/2 x))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(/ (- (* 1/4 (pow x 2)) (pow x 2)) (- (* 1/2 (fabs (- x y))) x))
(- (+ (* -1/2 (/ (* x y) (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))) (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))
(- (+ (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (* y (+ (* -1/2 (/ x (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ y (- (* 1/2 (fabs (- x y))) x)))))) (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ (sqrt x) (* -1/2 (* (sqrt (/ 1 x)) y)))
(+ (sqrt x) (* y (+ (* -1/2 (sqrt (/ 1 x))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) y)))))
(+ (sqrt x) (* y (+ (* -1/2 (sqrt (/ 1 x))) (* y (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* -1/16 (* (sqrt (/ 1 (pow x 5))) y)))))))
(* y (- (/ x y) 1))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(* 1/4 (/ (pow y 2) (- (* 1/2 (fabs (- x y))) x)))
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x)))))
(* (pow y 2) (- (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (+ (* 1/4 (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x))))) (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1))))
(* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1)))))
(* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1))))))
(/ (+ (* 1/8 (pow (fabs (+ x (* -1 y))) 3)) (pow x 3)) (+ (* 1/2 (* (fabs (+ x (* -1 y))) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (pow x 2)))
(* x (+ 1 (* 1/2 (/ (fabs (+ x (* -1 y))) x))))
(+ 1 (* 1/2 (/ (fabs (+ x (* -1 y))) x)))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1/2 (* y (pow (sqrt -1) 2)))
(* -1 (* y (+ (* -1 (/ (+ x (* 1/2 (* x (pow (sqrt -1) 2)))) y)) (* 1/2 (pow (sqrt -1) 2)))))
(* 1/4 (/ (pow y 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x)))
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) y)) (* 1/2 (/ x (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) y)) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(* 1/2 (fabs (+ x (* -1 y))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* (sqrt y) (sqrt -1)))
(* -1 (* y (+ (* 1/2 (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1)))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (sqrt -1)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (sqrt -1)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (sqrt -1)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1)))))))

Calls

6 calls:

Time	Variable		Point	Expression
64.0ms	x	@	inf	((/ (+ (pow (/ (fabs (- x y)) 2) 3) (pow x 3)) (+ (* (/ (fabs (- x y)) 2) (- (/ (fabs (- x y)) 2) x)) (* x x))) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (fabs (- x y)) (- x y) x y (/ 1/2 x) 1/2 1 (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (* 1/2 x) (/ (- (/ (pow (- y x) 2) 4) (* x x)) (- (/ (fabs (- x y)) 2) x)) (* 3/4 x) 3/4 (+ x (/ (fabs (- y x)) 2)) (* (fabs (- x y)) 1/2) (fabs (- x y)) (- x y) (neg y) (+ x (/ (fabs (- y x)) 2)) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (* (sqrt (- x y)) (sqrt (- x y))) (sqrt (- x y)))
10.0ms	y	@	-inf	((/ (+ (pow (/ (fabs (- x y)) 2) 3) (pow x 3)) (+ (* (/ (fabs (- x y)) 2) (- (/ (fabs (- x y)) 2) x)) (* x x))) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (fabs (- x y)) (- x y) x y (/ 1/2 x) 1/2 1 (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (* 1/2 x) (/ (- (/ (pow (- y x) 2) 4) (* x x)) (- (/ (fabs (- x y)) 2) x)) (* 3/4 x) 3/4 (+ x (/ (fabs (- y x)) 2)) (* (fabs (- x y)) 1/2) (fabs (- x y)) (- x y) (neg y) (+ x (/ (fabs (- y x)) 2)) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (* (sqrt (- x y)) (sqrt (- x y))) (sqrt (- x y)))
9.0ms	x	@	-inf	((/ (+ (pow (/ (fabs (- x y)) 2) 3) (pow x 3)) (+ (* (/ (fabs (- x y)) 2) (- (/ (fabs (- x y)) 2) x)) (* x x))) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (fabs (- x y)) (- x y) x y (/ 1/2 x) 1/2 1 (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (* 1/2 x) (/ (- (/ (pow (- y x) 2) 4) (* x x)) (- (/ (fabs (- x y)) 2) x)) (* 3/4 x) 3/4 (+ x (/ (fabs (- y x)) 2)) (* (fabs (- x y)) 1/2) (fabs (- x y)) (- x y) (neg y) (+ x (/ (fabs (- y x)) 2)) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (* (sqrt (- x y)) (sqrt (- x y))) (sqrt (- x y)))
4.0ms	y	@	inf	((/ (+ (pow (/ (fabs (- x y)) 2) 3) (pow x 3)) (+ (* (/ (fabs (- x y)) 2) (- (/ (fabs (- x y)) 2) x)) (* x x))) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (fabs (- x y)) (- x y) x y (/ 1/2 x) 1/2 1 (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (* 1/2 x) (/ (- (/ (pow (- y x) 2) 4) (* x x)) (- (/ (fabs (- x y)) 2) x)) (* 3/4 x) 3/4 (+ x (/ (fabs (- y x)) 2)) (* (fabs (- x y)) 1/2) (fabs (- x y)) (- x y) (neg y) (+ x (/ (fabs (- y x)) 2)) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (* (sqrt (- x y)) (sqrt (- x y))) (sqrt (- x y)))
3.0ms	y	@	0	((/ (+ (pow (/ (fabs (- x y)) 2) 3) (pow x 3)) (+ (* (/ (fabs (- x y)) 2) (- (/ (fabs (- x y)) 2) x)) (* x x))) (* (+ (* (fabs (- x y)) (/ 1/2 x)) 1) x) (+ (* (fabs (- x y)) (/ 1/2 x)) 1) (fabs (- x y)) (- x y) x y (/ 1/2 x) 1/2 1 (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (* 1/2 x) (/ (- (/ (pow (- y x) 2) 4) (* x x)) (- (/ (fabs (- x y)) 2) x)) (* 3/4 x) 3/4 (+ x (/ (fabs (- y x)) 2)) (* (fabs (- x y)) 1/2) (fabs (- x y)) (- x y) (neg y) (+ x (/ (fabs (- y x)) 2)) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (* (sqrt (- x y)) (sqrt (- x y))) (sqrt (- x y)))

simplify164.0ms (2.4%)

Memory

59.8MiB live, 270.3MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	494	2085
1	1568	1854
2	6706	1824
0	8006	1718

Stop Event

1×	iter limit
1×	node limit

Counts

101 → 99

Calls

Call 1

Inputs
(* 1/2 (fabs (- x y)))
(+ x (* 1/2 (fabs (- x y))))
(* 1/2 (/ (fabs (- x y)) x))
(/ (+ x (* 1/2 (fabs (- x y)))) x)
(fabs (- x y))
(* -1 y)
(- x y)
x
(/ 1/2 x)
(* 1/2 y)
(+ (* 1/2 x) (* 1/2 y))
(* 1/2 x)
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y))))))) (* -1 (/ y (fabs (- x y))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (/ y (fabs (- x y)))) (* x (- (* -2 (/ (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))) (fabs (- x y)))) (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(* 3/4 x)
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(* (sqrt y) (sqrt -1))
(+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 y)))) (* (sqrt y) (sqrt -1)))
(+ (* x (+ (* -1/8 (* (/ x (pow (sqrt -1) 3)) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (sqrt (/ 1 y)) (/ 1 (sqrt -1)))))) (* (sqrt y) (sqrt -1)))
(+ (* x (+ (* 1/2 (* (sqrt (/ 1 y)) (/ 1 (sqrt -1)))) (* x (+ (* -1/8 (* (sqrt (/ 1 (pow y 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (/ x (pow (sqrt -1) 5)) (sqrt (/ 1 (pow y 5))))))))) (* (sqrt y) (sqrt -1)))
(* x (+ 1 (* 1/2 (/ (fabs (- x y)) x))))
(* x (- (+ 1 (* -1 (/ (+ (* -1/4 (pow (fabs (- x y)) 2)) (* 1/4 (pow (fabs (- x y)) 2))) (pow x 2)))) (* -1/2 (/ (fabs (- x y)) x))))
(* x (- (+ 1 (* -1/2 (/ (* (fabs (- x y)) (+ (* -1/4 (pow (fabs (- x y)) 2)) (* 1/4 (pow (fabs (- x y)) 2)))) (pow x 3)))) (+ (* -1/2 (/ (fabs (- x y)) x)) (+ (* -1/4 (/ (pow (fabs (- x y)) 2) (pow x 2))) (* 1/4 (/ (pow (fabs (- x y)) 2) (pow x 2)))))))
1
(+ 1 (* 1/2 (/ (fabs (- x y)) x)))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1/2 (* 1/2 (/ y x))))
(* x (- (+ 3/4 (* 1/2 (/ y x))) (* -3/8 (/ (fabs (- x y)) x))))
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x)))))
(* x (- (+ 3/4 (+ (* -1/4 (/ (pow y 2) (pow x 2))) (+ (* 1/2 (/ y x)) (* 1/2 (/ (* (fabs (- x y)) (- (* -1/4 (pow y 2)) (* -1/2 (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y)))))))) (pow x 3)))))) (+ (* -1/2 (/ (* (fabs (- x y)) (- (* 1/2 y) (* -3/8 (fabs (- x y))))) (pow x 2))) (* -3/8 (/ (fabs (- x y)) x)))))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* -1/2 (* (sqrt (/ 1 (pow x 3))) y))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) y)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (* -1/16 (* (sqrt (/ 1 (pow x 7))) (pow y 3)))))))
(* -1 (* x (- (* -1/2 (/ (fabs (neg (+ y (* -1 x)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1/4 (/ (pow (fabs (neg (+ y (* -1 x)))) 2) x)) (* 1/4 (/ (pow (fabs (neg (+ y (* -1 x)))) 2) x))) (* -1/2 (fabs (neg (+ y (* -1 x)))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* (fabs (neg (+ y (* -1 x)))) (+ (* -1/4 (pow (fabs (neg (+ y (* -1 x)))) 2)) (* 1/4 (pow (fabs (neg (+ y (* -1 x)))) 2)))) x)) (+ (* -1/4 (pow (fabs (neg (+ y (* -1 x)))) 2)) (* 1/4 (pow (fabs (neg (+ y (* -1 x)))) 2)))) x)) (* -1/2 (fabs (neg (+ y (* -1 x)))))) x)) 1)))
(+ 1 (* 1/2 (/ (fabs (neg (+ y (* -1 x)))) x)))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1 (/ (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (pow y 2)) (* 1/2 (/ (* (fabs (neg (+ y (* -1 x)))) (- (* 1/4 (pow y 2)) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x)))))))))) x))) (* 1/2 (* (fabs (neg (+ y (* -1 x)))) (- (* 1/2 y) (* -3/8 (fabs (neg (+ y (* -1 x))))))))) x)) (* 1/2 y)) (* -3/8 (fabs (neg (+ y (* -1 x)))))) x)) 3/4)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* 1/2 (fabs (neg (+ y (* -1 x)))))
(* -1 (* x (- (* 1/2 (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (+ (* -1/2 (/ (* y (pow (sqrt -1) 2)) x)) (* 1/2 (pow (sqrt -1) 2))) 1)))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -1 (/ (* y (pow (sqrt -1) 2)) x)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(/ (+ (* 1/8 (pow (fabs (- x y)) 3)) (pow x 3)) (+ (* 1/2 (* (fabs (- x y)) (- (* 1/2 (fabs (- x y))) x))) (pow x 2)))
(+ x (* -1 y))
y
(+ x (* -1/2 x))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(/ (- (* 1/4 (pow x 2)) (pow x 2)) (- (* 1/2 (fabs (- x y))) x))
(- (+ (* -1/2 (/ (* x y) (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))) (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))
(- (+ (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x))) (* y (+ (* -1/2 (/ x (- (* 1/2 (fabs (- x y))) x))) (* 1/4 (/ y (- (* 1/2 (fabs (- x y))) x)))))) (/ (pow x 2) (- (* 1/2 (fabs (- x y))) x)))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ (sqrt x) (* -1/2 (* (sqrt (/ 1 x)) y)))
(+ (sqrt x) (* y (+ (* -1/2 (sqrt (/ 1 x))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) y)))))
(+ (sqrt x) (* y (+ (* -1/2 (sqrt (/ 1 x))) (* y (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* -1/16 (* (sqrt (/ 1 (pow x 5))) y)))))))
(* y (- (/ x y) 1))
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(* 1/4 (/ (pow y 2) (- (* 1/2 (fabs (- x y))) x)))
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x)))))
(* (pow y 2) (- (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (- x y))) x)))) (+ (* 1/4 (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (- x y))) x))))) (/ (pow x 2) (* (pow y 2) (- (* 1/2 (fabs (- x y))) x)))))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1))))
(* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1)))))
(* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1))))))
(/ (+ (* 1/8 (pow (fabs (+ x (* -1 y))) 3)) (pow x 3)) (+ (* 1/2 (* (fabs (+ x (* -1 y))) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (pow x 2)))
(* x (+ 1 (* 1/2 (/ (fabs (+ x (* -1 y))) x))))
(+ 1 (* 1/2 (/ (fabs (+ x (* -1 y))) x)))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1/2 (* y (pow (sqrt -1) 2)))
(* -1 (* y (+ (* -1 (/ (+ x (* 1/2 (* x (pow (sqrt -1) 2)))) y)) (* 1/2 (pow (sqrt -1) 2)))))
(* 1/4 (/ (pow y 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x)))
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) y)) (* 1/2 (/ x (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) y)) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(* 1/2 (fabs (+ x (* -1 y))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* (sqrt y) (sqrt -1)))
(* -1 (* y (+ (* 1/2 (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1)))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (sqrt -1)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (sqrt -1)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (sqrt -1)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1)))))))

Outputs
(* 1/2 (fabs (- x y)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
(+ x (* 1/2 (fabs (- x y))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(* 1/2 (/ (fabs (- x y)) x))
(*.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal 1/2 binary64) x))
(/ (+ x (* 1/2 (fabs (- x y)))) x)
(fma.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fabs (- x y))
(fabs.f64 (-.f64 y x))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
x
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(+ (* 1/2 x) (* 1/2 y))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 (/ (pow y 2) (fabs (- x y))))
(/.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (fabs.f64 (-.f64 y x)))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(fma.f64 (/.f64 (fma.f64 y (/.f64 y (fabs.f64 (-.f64 y x))) (neg.f64 y)) (fabs.f64 (-.f64 y x))) x (/.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (fabs.f64 (-.f64 y x))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y))))))) (* -1 (/ y (fabs (- x y))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(fma.f64 (fma.f64 (neg.f64 x) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 y (/.f64 y (fabs.f64 (-.f64 y x))) (neg.f64 y)) (fabs.f64 (-.f64 y x))) #s(literal 3/2 binary64)) (fabs.f64 (-.f64 y x))) (/.f64 (fma.f64 y (/.f64 y (fabs.f64 (-.f64 y x))) (neg.f64 y)) (fabs.f64 (-.f64 y x)))) x (/.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (fabs.f64 (-.f64 y x))))
(+ (* 1/2 (/ (pow y 2) (fabs (- x y)))) (* x (- (+ (* -1 (/ y (fabs (- x y)))) (* x (- (* -2 (/ (* x (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))) (fabs (- x y)))) (+ (* -2 (/ (- (* -1 (/ y (fabs (- x y)))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2)))) (fabs (- x y)))) (* 3/2 (/ 1 (fabs (- x y)))))))) (* -1 (/ (pow y 2) (pow (fabs (- x y)) 2))))))
(fma.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) x) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 y (/.f64 y (fabs.f64 (-.f64 y x))) (neg.f64 y)) (fabs.f64 (-.f64 y x))) #s(literal 3/2 binary64)) (fabs.f64 (-.f64 y x))) (fabs.f64 (-.f64 y x)))) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 y (/.f64 y (fabs.f64 (-.f64 y x))) (neg.f64 y)) (fabs.f64 (-.f64 y x))) #s(literal 3/2 binary64)) (fabs.f64 (-.f64 y x)))) x (/.f64 (fma.f64 y (/.f64 y (fabs.f64 (-.f64 y x))) (neg.f64 y)) (fabs.f64 (-.f64 y x)))) x (/.f64 (.f64 (.f64 y y) #s(literal 1/2 binary64)) (fabs.f64 (-.f64 y x))))
(* 3/4 x)
(*.f64 #s(literal 3/4 binary64) x)
(* 1/2 (fabs (- y x)))
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(* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1)))))
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(* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (fma.f64 (.f64 (.f64 x (/.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64))) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal -1 binary64)))))) y)
(/ (+ (* 1/8 (pow (fabs (+ x (* -1 y))) 3)) (pow x 3)) (+ (* 1/2 (* (fabs (+ x (* -1 y))) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (pow x 2)))
(/.f64 (fma.f64 (pow.f64 (fabs.f64 (-.f64 y x)) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) x) (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) (*.f64 x x)))
(* x (+ 1 (* 1/2 (/ (fabs (+ x (* -1 y))) x))))
(*.f64 (fma.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)
(+ 1 (* 1/2 (/ (fabs (+ x (* -1 y))) x)))
(fma.f64 (fabs.f64 (-.f64 y x)) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 y x))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(* -1/2 (* y (pow (sqrt -1) 2)))
(*.f64 #s(literal 1/2 binary64) y)
(* -1 (* y (+ (* -1 (/ (+ x (* 1/2 (* x (pow (sqrt -1) 2)))) y)) (* 1/2 (pow (sqrt -1) 2)))))
(*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(* 1/4 (/ (pow y 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x)))
(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (-.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) x))
(* (pow y 2) (+ (* -1/2 (/ x (* y (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) x)) (*.f64 y y))
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/4 (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) (/ (pow x 2) (- (* 1/2 (fabs (+ x (* -1 y)))) x))) y)) (* 1/2 (/ x (- (* 1/2 (fabs (+ x (* -1 y)))) x)))) y)) (* 1/4 (/ 1 (- (* 1/2 (fabs (+ x (* -1 y)))) x)))))
(.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) x)) #s(literal 1/2 binary64) (/.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (neg.f64 x) x)) (-.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) x)) (neg.f64 y))) y) #s(literal -1 binary64) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x))) x))) (*.f64 y y))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)) x)
(* 1/2 (fabs (+ x (* -1 y))))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 y x)))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -3/2 binary64) (/.f64 x y) #s(literal 1/2 binary64)))
(* -1 (* (sqrt y) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* y (+ (* 1/2 (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1)))))
(.f64 (neg.f64 y) (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (sqrt -1)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1))))))
(.f64 (neg.f64 y) (fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (sqrt -1)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (sqrt -1)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (sqrt -1)))))))
(.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal -1 binary64)))))))

rewrite131.0ms (1.9%)

Memory

-41.5MiB live, 158.1MiB allocated; 59ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	50	214
0	66	180
1	304	146
0	2288	146

Stop Event

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

Counts

24 → 194

Calls

Call 1

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

Outputs
#s(approx (/ (+ (pow (/ (fabs (- x y)) 2) 3) (pow x 3)) (+ (* (/ (fabs (- x y)) 2) (- (/ (fabs (- x y)) 2) x)) (* x x))) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x) #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x) #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x)) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x))) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x)) #s(literal 2 binary64))))
(/.f64 (.f64 x (-.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x) #s(literal -1 binary64)))
(/.f64 (.f64 x (-.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x)) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x))) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x)) #s(literal 2 binary64))))
(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x)) x (.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x)) x))
(fma.f64 x (.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x)) (.f64 x #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x))))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x)) x) (*.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x)) x))
(+.f64 (.f64 x (.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x))) (*.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x))) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 y x)) #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 y x)))) (*.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x))) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x)) #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (neg.f64 (sqrt.f64 (-.f64 y x)))) (neg.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (-.f64 y x))) (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (-.f64 y x)) (/.f64 (*.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y x) x) #s(literal 1 binary64))
(fma.f64 (-.f64 y x) (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 y x) (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x)) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x) #s(literal -1 binary64))))
(-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) (-.f64 y x)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (-.f64 y x)) (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 (/.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x)) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x))) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x))) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 y x)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 y x)))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 y x)))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) (neg.f64 (sqrt.f64 (-.f64 y x))))
(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)))
(pow.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (-.f64 y x) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (fabs.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (fabs.f64 (+.f64 y x)))
(/.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (fma.f64 y y (*.f64 x (+.f64 y x)))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fabs.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (+.f64 y x))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (+.f64 y x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(neg.f64 (neg.f64 (-.f64 y x)))
(sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(-.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 y y) (+.f64 y x)))
(-.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 x x) (+.f64 y x)))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (.f64 x (+.f64 y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (.f64 x (+.f64 y x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))))
(-.f64 y x)
(-.f64 x y)
(fabs.f64 (neg.f64 (-.f64 y x)))
(fabs.f64 (-.f64 y x))
(exp.f64 (/.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 y x)))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 y x)))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) (neg.f64 (sqrt.f64 (-.f64 y x))))
(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)))
(pow.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (-.f64 y x) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (fabs.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (fabs.f64 (+.f64 y x)))
(/.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (fma.f64 y y (*.f64 x (+.f64 y x)))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fabs.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (+.f64 y x))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (+.f64 y x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(neg.f64 (neg.f64 (-.f64 y x)))
(sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(-.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 y y) (+.f64 y x)))
(-.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 x x) (+.f64 y x)))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (.f64 x (+.f64 y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (.f64 x (+.f64 y x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))))
(-.f64 y x)
(-.f64 x y)
(fabs.f64 (neg.f64 (-.f64 y x)))
(fabs.f64 (-.f64 y x))
(exp.f64 (/.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1 binary64)))
x
y
(/.f64 #s(literal -1/2 binary64) (neg.f64 x))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1/2 binary64) x)
(neg.f64 (/.f64 #s(literal -1/2 binary64) x))
(neg.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 x)))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (+ (pow (/ (fabs (- x y)) 2) 3) (pow x 3)) (+ (* (/ (fabs (- x y)) 2) (- (/ (fabs (- x y)) 2) x)) (* x x))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(approx (/ (+ (pow (/ (fabs (- x y)) 2) 3) (pow x 3)) (+ (* (/ (fabs (- x y)) 2) (- (/ (fabs (- x y)) 2) x)) (* x x))) (*.f64 #s(literal 3/4 binary64) x))
(*.f64 #s(literal 3/4 binary64) x)
(*.f64 x #s(literal 3/4 binary64))
#s(literal 3/4 binary64)
#s(approx (/ (+ (pow (/ (fabs (- x y)) 2) 3) (pow x 3)) (+ (* (/ (fabs (- x y)) 2) (- (/ (fabs (- x y)) 2) x)) (* x x))) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- x y) (neg.f64 y))))
(*.f64 (sqrt.f64 #s(approx (- x y) (neg.f64 y))) (sqrt.f64 #s(approx (- x y) (neg.f64 y))))
(pow.f64 (pow.f64 #s(approx (- x y) (neg.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 #s(approx (- x y) (neg.f64 y)) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (neg.f64 #s(approx (- x y) (neg.f64 y)))))
(fabs.f64 (neg.f64 #s(approx (- x y) (neg.f64 y))))
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
#s(approx (/ (+ (pow (/ (fabs (- x y)) 2) 3) (pow x 3)) (+ (* (/ (fabs (- x y)) 2) (- (/ (fabs (- x y)) 2) x)) (* x x))) (fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 y x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 y x)) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (.f64 x (-.f64 x (.f64 #s(literal 1/2 binary64) (-.f64 y x)))))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (.f64 (neg.f64 x) x)) (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 y x)) x))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y x)) x))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (.f64 x (-.f64 x (.f64 #s(literal 1/2 binary64) (-.f64 y x))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (-.f64 y x)))) (neg.f64 (sqrt.f64 (-.f64 y x))) x)
(fma.f64 (*.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 y x)) x)
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1/2 binary64)) x)
(fma.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) (-.f64 y x) x)
(fma.f64 (-.f64 y x) #s(literal 1/2 binary64) x)
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 y x)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 y x)) x)))
(-.f64 x (.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) (.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1/2 binary64))))
(-.f64 x (*.f64 #s(literal -1/2 binary64) (-.f64 y x)))
(-.f64 x (*.f64 (neg.f64 (-.f64 y x)) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (.f64 x (-.f64 x (.f64 #s(literal 1/2 binary64) (-.f64 y x)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (.f64 x (-.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 y x)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y x)) x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 y x)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 y x)))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 y x)))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) (neg.f64 (sqrt.f64 (-.f64 y x))))
(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)))
(pow.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (-.f64 y x) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (fabs.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (fabs.f64 (+.f64 y x)))
(/.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (fma.f64 y y (*.f64 x (+.f64 y x)))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fabs.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (+.f64 y x))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (+.f64 y x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(neg.f64 (neg.f64 (-.f64 y x)))
(sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(-.f64 (/.f64 (.f64 x x) (+.f64 y x)) (/.f64 (.f64 y y) (+.f64 y x)))
(-.f64 (/.f64 (.f64 y y) (+.f64 y x)) (/.f64 (.f64 x x) (+.f64 y x)))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (.f64 x (+.f64 y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (.f64 x (+.f64 y x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (.f64 x x))))
(-.f64 y x)
(-.f64 x y)
(fabs.f64 (neg.f64 (-.f64 y x)))
(fabs.f64 (-.f64 y x))
(exp.f64 (/.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 y x)))) (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 y x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 y x))) (sqrt.f64 (sqrt.f64 (-.f64 y x))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1/2 binary64)))
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (-.f64 y x) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (sqrt.f64 (+.f64 y x)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 y y (*.f64 x (+.f64 y x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(sqrt.f64 (-.f64 y x))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 y x))))
(fabs.f64 (sqrt.f64 (-.f64 y x)))
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64)))

eval31.0ms (0.4%)

Memory: 19.7MiB live, 66.2MiB allocated; 4ms collecting garbage
Compiler: Compiled 11 145 to 1 171 computations (89.5% saved)

prune38.0ms (0.6%)

Memory

14.9MiB live, 52.1MiB allocated; 27ms collecting garbage

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	271	6	277
Fresh	0	4	4
Picked	4	1	5
Done	1	0	1
Total	276	11	287

Accuracy

100.0%

Counts

287 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.8%	(/.f64 (+.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))) #s(literal 2 binary64)) x) (.f64 x x)))
▶	56.1%	#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
▶	26.1%	#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) y))
✓	32.3%	#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) x))
	26.6%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (*.f64 (sqrt.f64 (-.f64 x y)) #s(approx (sqrt (- x y)) (sqrt.f64 x))) #s(literal 1/2 binary64) x))
	55.4%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x))
▶	53.7%	#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))))
	47.1%	#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 3/2 binary64)) x)))
▶	44.0%	#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (.f64 (-.f64 (.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) y)))
	32.2%	#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)))
▶	23.2%	#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal -1/2 binary64) y)))

Compiler

Compiled 535 to 341 computations (36.3% saved)

series19.0ms (0.3%)

Memory

-5.7MiB live, 37.2MiB allocated; 5ms collecting garbage

Counts

23 → 44

Calls

Call 1

Inputs
#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+.f64 y x)
y
x
#s(literal 1/2 binary64)
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))))
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
#s(literal 3/2 binary64)
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (.f64 (-.f64 (.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) y)))
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (.f64 (-.f64 (.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) y))
(.f64 (-.f64 (.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) y)
(-.f64 (*.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 x y) #s(literal 3/2 binary64))
(/.f64 x y)

Outputs
(* 1/2 y)
(+ (* 1/2 x) (* 1/2 y))
y
(+ x y)
x
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
-1/2
(- (* 3/2 (/ x y)) 1/2)
(* 3/2 (/ x y))
(/ x y)
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (/ y x))))
(* x (+ 1 (/ y x)))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* -1 (* x (- (* 1/2 (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (+ (* -1/2 (/ (* y (pow (sqrt -1) 2)) x)) (* 1/2 (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y)))))
(+ x (* -1/2 x))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(/ (+ (* -1/2 y) (* 3/2 x)) y)
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(* y (+ 1/2 (* 1/2 (/ x y))))
(* y (+ 1 (/ x y)))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* -1/2 (* y (pow (sqrt -1) 2)))
(* -1 (* y (+ (* -1 (/ (+ x (* 1/2 (* x (pow (sqrt -1) 2)))) y)) (* 1/2 (pow (sqrt -1) 2)))))
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	y	@	0	((+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (* (+ y x) 1/2) (+ y x) y x 1/2 (+ x (/ (fabs (- y x)) 2)) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (* -1/2 y) -1/2 (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (* 1/2 y) (+ x (/ (fabs (- y x)) 2)) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (+ (* -1/2 y) (* 3/2 x)) (* 3/2 x) 3/2 (+ x (/ (fabs (- y x)) 2)) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (* (- (* (/ x y) 3/2) 1/2) y) (- (* (/ x y) 3/2) 1/2) (* (/ x y) 3/2) (/ x y))
3.0ms	x	@	-inf	((+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (* (+ y x) 1/2) (+ y x) y x 1/2 (+ x (/ (fabs (- y x)) 2)) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (* -1/2 y) -1/2 (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (* 1/2 y) (+ x (/ (fabs (- y x)) 2)) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (+ (* -1/2 y) (* 3/2 x)) (* 3/2 x) 3/2 (+ x (/ (fabs (- y x)) 2)) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (* (- (* (/ x y) 3/2) 1/2) y) (- (* (/ x y) 3/2) 1/2) (* (/ x y) 3/2) (/ x y))
3.0ms	y	@	-inf	((+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (* (+ y x) 1/2) (+ y x) y x 1/2 (+ x (/ (fabs (- y x)) 2)) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (* -1/2 y) -1/2 (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (* 1/2 y) (+ x (/ (fabs (- y x)) 2)) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (+ (* -1/2 y) (* 3/2 x)) (* 3/2 x) 3/2 (+ x (/ (fabs (- y x)) 2)) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (* (- (* (/ x y) 3/2) 1/2) y) (- (* (/ x y) 3/2) 1/2) (* (/ x y) 3/2) (/ x y))
2.0ms	x	@	inf	((+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (* (+ y x) 1/2) (+ y x) y x 1/2 (+ x (/ (fabs (- y x)) 2)) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (* -1/2 y) -1/2 (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (* 1/2 y) (+ x (/ (fabs (- y x)) 2)) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (+ (* -1/2 y) (* 3/2 x)) (* 3/2 x) 3/2 (+ x (/ (fabs (- y x)) 2)) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (* (- (* (/ x y) 3/2) 1/2) y) (- (* (/ x y) 3/2) 1/2) (* (/ x y) 3/2) (/ x y))
2.0ms	y	@	inf	((+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (* (+ y x) 1/2) (+ y x) y x 1/2 (+ x (/ (fabs (- y x)) 2)) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (* -1/2 y) -1/2 (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (* 1/2 y) (+ x (/ (fabs (- y x)) 2)) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (+ (* -1/2 y) (* 3/2 x)) (* 3/2 x) 3/2 (+ x (/ (fabs (- y x)) 2)) (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (* (- (* (/ x y) 3/2) 1/2) y) (- (* (/ x y) 3/2) 1/2) (* (/ x y) 3/2) (/ x y))

simplify252.0ms (3.6%)

Memory

61.8MiB live, 172.3MiB allocated; 129ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	261
1	395	261
2	1414	261
0	5100	243

Stop Event

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

Counts

44 → 42

Calls

Call 1

Inputs
(* 1/2 y)
(+ (* 1/2 x) (* 1/2 y))
y
(+ x y)
x
(* 1/2 (fabs (- y x)))
(+ x (* 1/2 (fabs (- y x))))
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
-1/2
(- (* 3/2 (/ x y)) 1/2)
(* 3/2 (/ x y))
(/ x y)
(* 1/2 x)
(* x (+ 1/2 (* 1/2 (/ y x))))
(* x (+ 1 (/ y x)))
(* x (+ 1 (* 1/2 (/ (fabs (- y x)) x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* -1 (* x (- (* -1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1/2 (/ (fabs (+ y (* -1 x))) x)) 1)))
(* -1 (* x (- (* 1/2 (pow (sqrt -1) 2)) 1)))
(* -1 (* x (- (+ (* -1/2 (/ (* y (pow (sqrt -1) 2)) x)) (* 1/2 (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y)))))
(+ x (* -1/2 x))
(+ x (+ (* -1/2 x) (* 1/2 y)))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(/ (+ (* -1/2 y) (* 3/2 x)) y)
(* y (+ 1/2 (+ (* -1/2 (/ x y)) (/ x y))))
(* y (+ 1/2 (* 1/2 (/ x y))))
(* y (+ 1 (/ x y)))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* -1/2 (* y (pow (sqrt -1) 2)))
(* -1 (* y (+ (* -1 (/ (+ x (* 1/2 (* x (pow (sqrt -1) 2)))) y)) (* 1/2 (pow (sqrt -1) 2)))))
(* -1 (* y (- (* -1/2 (/ x y)) 1/2)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ x (* 1/2 (fabs (neg (+ x (* -1 y))))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))

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

rewrite3.5s (49.7%)

Memory

-265.1MiB live, 941.8MiB allocated; 3.4s collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	235
0	47	184
1	184	184
0	1218	178

Stop Event

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

Counts

23 → 92

Calls

Call 1

Inputs
#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(+.f64 y x)
y
x
#s(literal 1/2 binary64)
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))))
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
#s(literal 3/2 binary64)
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (.f64 (-.f64 (.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) y)))
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (.f64 (-.f64 (.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) y))
(.f64 (-.f64 (.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) y)
(-.f64 (*.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 x y) #s(literal 3/2 binary64))
(/.f64 x y)

Outputs
#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (+.f64 y x))
(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
(/.f64 (.f64 (.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1/2 binary64)) (-.f64 y x))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 y y (.f64 x (-.f64 y x))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (.f64 x (-.f64 y x))))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 y #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) y))
(+.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) y))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) y))
(+.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) x))
(.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x))) (+.f64 y x))
(.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (+.f64 y x))))
(/.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 (sqrt.f64 (-.f64 y x)))) (neg.f64 (sqrt.f64 (-.f64 y x))))
(/.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (sqrt.f64 (-.f64 y x))) (sqrt.f64 (-.f64 y x)))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 x (-.f64 y x)))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 y y) (.f64 y x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (-.f64 y x))))
(-.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (.f64 x (-.f64 y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (.f64 x (-.f64 y x)))))
(+.f64 y x)
(+.f64 x y)
y
x
#s(literal 1/2 binary64)
#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 y #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))
#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))))
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
(/.f64 (-.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (-.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 #s(literal -1/2 binary64) y)))
(/.f64 (-.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (.f64 #s(literal -3/2 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (.f64 (.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal -3/2 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 #s(literal 9/4 binary64) (.f64 x x)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 (.f64 #s(literal 3/2 binary64) x) (-.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 #s(literal -1/2 binary64) y))))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 #s(literal 9/4 binary64) (.f64 x x))) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal -3/2 binary64) x)))
(/.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 #s(literal 9/4 binary64) (.f64 x x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 3/2 binary64)) x))))
(/.f64 (fma.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 (.f64 #s(literal 3/2 binary64) x) (-.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 #s(literal -1/2 binary64) y)))))
(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) x))
(fma.f64 x #s(literal 3/2 binary64) (*.f64 #s(literal -1/2 binary64) y))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (fma.f64 #s(literal -1/2 binary64) y (.f64 #s(literal -3/2 binary64) x))) (/.f64 (.f64 #s(literal 9/4 binary64) (.f64 x x)) (fma.f64 #s(literal -1/2 binary64) y (.f64 #s(literal -3/2 binary64) x))))
(-.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(-.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 #s(literal 1/2 binary64) y))
(-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 (neg.f64 x) #s(literal 3/2 binary64)))
(-.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal -3/2 binary64) x))
(+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 (.f64 #s(literal 3/2 binary64) x) (-.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 #s(literal -1/2 binary64) y))))) (/.f64 (.f64 #s(literal 27/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 y y) (.f64 (.f64 #s(literal 3/2 binary64) x) (-.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 #s(literal -1/2 binary64) y))))))
(+.f64 (.f64 #s(literal 3/2 binary64) x) (.f64 #s(literal -1/2 binary64) y))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 #s(literal 3/2 binary64) x))
(*.f64 #s(literal 3/2 binary64) x)
(*.f64 x #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (.f64 (-.f64 (.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) y)))
#s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (.f64 (-.f64 (.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) y))
(.f64 (-.f64 (.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) y)
(.f64 y (-.f64 (.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) y) (fma.f64 (/.f64 x y) #s(literal 3/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) y) (+.f64 (fma.f64 (/.f64 x y) #s(literal 3/4 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 2 binary64))))
(/.f64 (.f64 y (-.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fma.f64 (/.f64 x y) #s(literal 3/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (.f64 y (-.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 (fma.f64 (/.f64 x y) #s(literal 3/4 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (/.f64 x y) #s(literal 3/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 3/4 binary64) #s(literal 1/4 binary64)) (pow.f64 (.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 x y) #s(literal 3/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (fma.f64 (/.f64 x y) #s(literal 3/4 binary64) #s(literal 1/4 binary64)) (pow.f64 (.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal 3/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 3/2 binary64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (+.f64 (fma.f64 (/.f64 x y) #s(literal 3/4 binary64) #s(literal 1/4 binary64)) (pow.f64 (.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (+.f64 (fma.f64 (/.f64 x y) #s(literal 3/4 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 2 binary64)))))
(-.f64 (*.f64 (/.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 x y) #s(literal 3/2 binary64))
(*.f64 #s(literal 3/2 binary64) (/.f64 x y))
(*.f64 x (/.f64 #s(literal 3/2 binary64) y))
(/.f64 (*.f64 #s(literal 3/2 binary64) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) #s(literal 3/2 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal -3/2 binary64) x) (neg.f64 y))
(/.f64 (*.f64 #s(literal 3/2 binary64) x) y)
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
(neg.f64 (/.f64 x (neg.f64 y)))

eval15.0ms (0.2%)

Memory: -14.7MiB live, 31.2MiB allocated; 3ms collecting garbage
Compiler: Compiled 3 870 to 455 computations (88.2% saved)

prune8.0ms (0.1%)

Memory

22.0MiB live, 22.0MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	3	2	5
Picked	2	3	5
Done	0	1	1
Total	128	7	135

Accuracy

100.0%

Counts

135 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.1%	#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
✓	26.1%	#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) y))
✓	32.3%	#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) x))
	53.7%	#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))))
	55.4%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x))
	32.2%	#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)))
✓	23.2%	#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal -1/2 binary64) y)))

Compiler

Compiled 678 to 225 computations (66.8% saved)

regimes22.0ms (0.3%)

Memory

-0.5MiB live, 45.9MiB allocated; 3ms collecting garbage

Counts

22 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	x
6.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
6.0ms	y

Results

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

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes12.0ms (0.2%)

Memory

-20.1MiB live, 26.3MiB allocated; 2ms collecting garbage

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
80.1%	3	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
84.2%	3	`x`
79.4%	2	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes7.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated; 0ms collecting garbage

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)))

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
76.0%	3	`y`
80.6%	3	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes6.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated; 0ms collecting garbage

Counts

8 → 3

Calls

Call 1

Inputs
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)))
#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (/ (pow (- y x) 2) 4) (* x x)) (- (/ (fabs (- x y)) 2) x)) (*.f64 #s(literal 3/4 binary64) x))
#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64)))
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))

Outputs

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

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

#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
78.4%	3	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
79.3%	3	`x`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes3.0ms (0%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Counts

7 → 3

Calls

Call 1

Inputs
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)))
#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (/ (pow (- y x) 2) 4) (* x x)) (- (/ (fabs (- x y)) 2) x)) (*.f64 #s(literal 3/4 binary64) x))
#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64)))

Outputs

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

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

#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
78.4%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes10.0ms (0.1%)

Memory

-29.4MiB live, 19.5MiB allocated; 5ms collecting garbage

Counts

6 → 3

Calls

Call 1

Inputs
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)))
#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (/ (pow (- y x) 2) 4) (* x x)) (- (/ (fabs (- x y)) 2) x)) (*.f64 #s(literal 3/4 binary64) x))
#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))

Outputs

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

#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)))

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

Calls

3 calls:

4.0ms	x
3.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
2.0ms	y

Results

Accuracy	Segments	Branch
74.6%	3	`y`
58.3%	2	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
70.3%	2	`x`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes5.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated; 0ms collecting garbage

Counts

5 → 4

Calls

Call 1

Inputs
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)))
#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (/ (pow (- y x) 2) 4) (* x x)) (- (/ (fabs (- x y)) 2) x)) (*.f64 #s(literal 3/4 binary64) x))

Outputs
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)))
#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) y))

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
61.5%	3	`x`
70.1%	4	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes5.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs

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

#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)))

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

Outputs

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

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

#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
55.8%	3	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
59.0%	3	`x`
53.7%	4	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes5.0ms (0.1%)

Memory

-33.8MiB live, 13.0MiB allocated; 2ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs

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

#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)))

Outputs

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

#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)))

Calls

3 calls:

2.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
49.2%	2	`y`
34.5%	2	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
43.7%	3	`x`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes3.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
23.2%	1	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
23.2%	1	`x`
23.2%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch23.0ms (0.3%)

Memory

-2.6MiB live, 43.9MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.1219905257995261e-179	5.652594299678154e-178
10.0ms	-133738763088.89595	-1328152486.0624638

Samples

10.0ms	217×	0	valid
1.0ms	7×	1	valid

Compiler

Compiled 613 to 453 computations (26.1% saved)

Precisions

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

ival-div: 2.0ms (33.6% of total)

ival-add: 1.0ms (16.8% of total)

ival-fabs: 1.0ms (16.8% of total)

ival-sub: 1.0ms (16.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch13.0ms (0.2%)

Memory

26.1MiB live, 26.1MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	94070139368620.66	8288572479248754.0
1.0ms	-133738763088.89595	-1328152486.0624638

Samples

5.0ms	99×	0	valid
1.0ms	8×	1	valid
1.0ms	5×	2	valid

Compiler

Compiled 592 to 439 computations (25.8% saved)

Precisions

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

ival-div: 1.0ms (27.1% of total)

ival-sub: 1.0ms (27.1% of total)

ival-add: 1.0ms (27.1% of total)

ival-fabs: 1.0ms (27.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch9.0ms (0.1%)

Memory

-31.7MiB live, 14.5MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	94070139368620.66	8288572479248754.0
8.0ms	-133738763088.89595	-1328152486.0624638

Samples

5.0ms

64×

valid

Compiler

Compiled 536 to 411 computations (23.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

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

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

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

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

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

bsearch10.0ms (0.1%)

Memory

18.7MiB live, 18.6MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	94070139368620.66	8288572479248754.0
1.0ms	-133738763088.89595	-1328152486.0624638

Samples

4.0ms	74×	0	valid
0.0ms	3×	2	valid
0.0ms	3×	1	valid

Compiler

Compiled 578 to 439 computations (24% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (41.7% of total)

ival-sub: 1.0ms (41.7% of total)

adjust: 0.0ms (0% of total)

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

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

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

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

exact: 0.0ms (0% of total)

bsearch22.0ms (0.3%)

Memory

-8.7MiB live, 39.1MiB allocated; 5ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	4.737706318180019e-246	8.141695003050813e-246
11.0ms	-5.166507236890066e-97	-6.044591608605154e-101

Samples

9.0ms	180×	0	valid
1.0ms	4×	3	valid
0.0ms	5×	1	valid
0.0ms	3×	2	valid

Compiler

Compiled 607 to 424 computations (30.1% saved)

Precisions

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

ival-div: 2.0ms (32.8% of total)

adjust: 1.0ms (16.4% of total)

ival-sub: 1.0ms (16.4% of total)

ival-fabs: 1.0ms (16.4% of total)

ival-add: 1.0ms (16.4% of total)

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

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

exact: 0.0ms (0% of total)

bsearch21.0ms (0.3%)

Memory

-4.3MiB live, 41.8MiB allocated; 5ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
9.0ms	2.059462632664294e-59	5.792692601099407e-59
8.0ms	4.061646233430815e-205	3.637561336293471e-204
1.0ms	-5.166507236890066e-97	-6.044591608605154e-101

Samples

10.0ms	169×	0	valid
1.0ms	3×	3	valid
0.0ms	3×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 855 to 600 computations (29.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-add: 3.0ms (43.6% of total)

ival-div: 1.0ms (14.5% of total)

ival-sub: 1.0ms (14.5% of total)

ival-fabs: 1.0ms (14.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch21.0ms (0.3%)

Memory

-5.4MiB live, 40.8MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	5.652594299678154e-178	2.10912439498387e-143
1.0ms	-133738763088.89595	-1328152486.0624638

Samples

8.0ms	172×	0	valid
0.0ms	4×	1	valid

Compiler

Compiled 884 to 618 computations (30.1% saved)

Precisions

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

ival-div: 1.0ms (21.5% of total)

ival-add: 1.0ms (21.5% of total)

ival-fabs: 1.0ms (21.5% of total)

ival-sub: 1.0ms (21.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-5.166507236890066e-97	-6.044591608605154e-101

Compiler

Compiled 427 to 300 computations (29.7% saved)

simplify57.0ms (0.8%)

Memory

18.6MiB live, 63.7MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	84	512
1	119	494
2	217	494
3	385	494
4	555	494
5	1085	494
6	4628	494

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal -3500000000 binary64)) #s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (.f64 (+.f64 y x) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 6387416864671073/18249762470488780874564686422801165299572914028994239722316770071597100668834709546023651245269485599114569238294377629242754818885501751993010645278888856753007978697441059800331496768986415104 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ ( (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))))))
(if (<=.f64 x #s(literal -3500000000 binary64)) #s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (.f64 (+.f64 y x) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 520000000000000 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ ( (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)))))
(if (<=.f64 x #s(literal -1350000000 binary64)) #s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (.f64 (+.f64 y x) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 520000000000000 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)))))
(if (<=.f64 x #s(literal -1350000000 binary64)) #s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (.f64 (+.f64 y x) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 195000000000000 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64))) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)))))
(if (<=.f64 y #s(literal -207784017051299/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 y #s(literal 2755270688198251/492012622892544834271389790732894657662927476722860263779722814473019822087813969212041474774160597375290836201288857198210756815506783814402799101977552824568363543598917391308333275538335033741802194070267666507650193099632451067528125735714134272643866558464 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ ( (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (.f64 #s(literal 3/2 binary64) x))) #s(approx (+ x (/ ( (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))))
(if (<=.f64 y #s(literal -207784017051299/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (.f64 #s(literal -1/2 binary64) y))) (if (<=.f64 y #s(literal 4970264567326463/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ ( (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (.f64 #s(literal 3/2 binary64) x))) (if (<=.f64 y #s(literal 3957737425103581/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) #s(approx (+ x (/ ( (sqrt (- y x)) (sqrt (- y x))) 2)) (.f64 #s(literal 1/2 binary64) x)) #s(approx (+ x (/ ( (sqrt (- y x)) (sqrt (- y x))) 2)) (*.f64 #s(literal 1/2 binary64) y)))))
(if (<=.f64 x #s(literal -1350000000 binary64)) #s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 x #s(literal 6478435864142203/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ ( (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (.f64 #s(literal -1/2 binary64) y))) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ ( (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)))))
(if (<=.f64 y #s(literal -207784017051299/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (.f64 #s(literal -1/2 binary64) y))) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ ( (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x))))
#s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ (* (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal -1/2 binary64) y)))

Outputs
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))
#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64) x))
(if (<=.f64 x #s(literal -3500000000 binary64)) #s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (.f64 (+.f64 y x) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 6387416864671073/18249762470488780874564686422801165299572914028994239722316770071597100668834709546023651245269485599114569238294377629242754818885501751993010645278888856753007978697441059800331496768986415104 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ ( (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))))))
(if (<=.f64 x #s(literal -3500000000 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (+.f64 y x) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 6387416864671073/18249762470488780874564686422801165299572914028994239722316770071597100668834709546023651245269485599114569238294377629242754818885501751993010645278888856753007978697441059800331496768986415104 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ ( (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 3/2 binary64) x))))))
(if (<=.f64 x #s(literal -3500000000 binary64)) #s(approx (+ x (/ (* (sqrt (- y x)) (sqrt (- y x))) 2)) (.f64 (+.f64 y x) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 520000000000000 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ ( (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)))))
(if (<=.f64 x #s(literal -3500000000 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (+.f64 y x) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 520000000000000 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)) #s(approx (+ x (/ (fabs (- y x)) 2)) #s(approx (+ ( (* (sqrt (- x y)) (sqrt (- x y))) 1/2) x) (*.f64 #s(literal 3/2 binary64) x)))))
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derivations487.0ms (7%)

Memory

-3.9MiB live, 421.1MiB allocated; 79ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 598 to 81 computations (86.5% saved)

preprocess57.0ms (0.8%)

Memory: 27.5MiB live, 117.2MiB allocated; 14ms collecting garbage
Compiler: Compiled 1 212 to 176 computations (85.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample890.0ms (12.8%)

explain98.0ms (1.4%)

preprocess244.0ms (3.5%)

eval0.0ms (0%)

prune0.0ms (0%)

series4.0ms (0.1%)

simplify159.0ms (2.3%)

rewrite100.0ms (1.4%)

eval4.0ms (0.1%)

prune19.0ms (0.3%)

series44.0ms (0.6%)

simplify163.0ms (2.3%)

rewrite91.0ms (1.3%)

eval98.0ms (1.4%)

prune18.0ms (0.3%)

series96.0ms (1.4%)

simplify164.0ms (2.4%)

rewrite131.0ms (1.9%)

eval31.0ms (0.4%)

prune38.0ms (0.6%)

series19.0ms (0.3%)

simplify252.0ms (3.6%)

rewrite3.5s (49.7%)

eval15.0ms (0.2%)

prune8.0ms (0.1%)

regimes22.0ms (0.3%)

regimes12.0ms (0.2%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes10.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch23.0ms (0.3%)

bsearch13.0ms (0.2%)

bsearch9.0ms (0.1%)

bsearch10.0ms (0.1%)

bsearch22.0ms (0.3%)

bsearch21.0ms (0.3%)

bsearch21.0ms (0.3%)

bsearch1.0ms (0%)

simplify57.0ms (0.8%)

derivations487.0ms (7%)

preprocess57.0ms (0.8%)

end0.0ms (0%)

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