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

0.6MiB live, 0.6MiB 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)

sample1.3s (23.1%)

Memory

9.0MiB live, 1 316.2MiB allocated; 306ms collecting garbage

Samples

756.0ms	7 925×	0	valid
44.0ms	105×	2	valid
38.0ms	147×	1	valid
26.0ms	79×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 478.0ms

ival-div: 223.0ms (46.7% of total)

ival-sub: 100.0ms (20.9% of total)

ival-add: 72.0ms (15.1% of total)

ival-fabs: 52.0ms (10.9% of total)

adjust: 18.0ms (3.8% of total)

ival-true: 6.0ms (1.3% of total)

exact: 5.0ms (1% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain119.0ms (2.2%)

Memory

22.6MiB live, 270.5MiB allocated; 59ms 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

34.0ms	490×	0	valid
2.0ms	8×	3	valid
1.0ms	10×	1	valid
1.0ms	4×	2	valid

Compiler

Compiled 60 to 25 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 4.0ms (24.9% of total)

ival-sub: 4.0ms (24.9% of total)

ival-fabs: 3.0ms (18.7% of total)

ival-add: 3.0ms (18.7% of total)

adjust: 1.0ms (6.2% of total)

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

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

exact: 0.0ms (0% of total)

preprocess73.0ms (1.3%)

Memory

-17.3MiB live, 45.5MiB allocated; 79ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	48
1	41	46
2	70	46
3	110	46
4	191	46
5	257	46
6	265	46
7	278	46
8	280	46
0	7	8
0	11	8
1	18	8
2	25	8
3	39	8
4	66	8
5	88	8
6	90	8
7	94	8
8	97	8
0	97	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

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

1.3MiB live, 1.3MiB 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)

simplify16.0ms (0.3%)

Memory

-39.0MiB live, 12.1MiB allocated; 11ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 y x)
cost-diff	0	(fabs.f64 (-.f64 y x))
cost-diff	0	(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))
cost-diff	0	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
0	11	24
1	18	24
2	25	24
3	39	24
4	66	24
5	88	24
6	90	24
7	94	24
8	97	24
0	97	24

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

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

localize23.0ms (0.4%)

Memory

17.4MiB live, 64.4MiB allocated; 2ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))
accuracy	0.0	(-.f64 y x)
accuracy	0.0	(fabs.f64 (-.f64 y x))
accuracy	0.05078125	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))

Samples

15.0ms	245×	0	valid
1.0ms	4×	3	valid
1.0ms	5×	1	valid
0.0ms	2×	2	valid

Compiler

Compiled 26 to 9 computations (65.4% saved)

Precisions

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

ival-div: 2.0ms (26.8% of total)

ival-sub: 2.0ms (26.8% of total)

adjust: 1.0ms (13.4% of total)

ival-fabs: 1.0ms (13.4% of total)

ival-add: 1.0ms (13.4% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated; 0ms collecting garbage

Counts

4 → 19

Calls

Call 1

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

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

simplify115.0ms (2.1%)

Memory

-22.3MiB live, 165.9MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	84
1	127	84
2	346	84
3	968	84
4	2383	84
5	3739	84
6	6329	84
0	8023	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))))
(fabs (- y x))
y
(+ y (* -1 x))
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)
(fabs (- y x))
(fabs.f64 (-.f64 x y))
y
(+ y (* -1 x))
(-.f64 y x)
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)

rewrite191.0ms (3.5%)

Memory

2.9MiB live, 330.6MiB allocated; 62ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	21
0	11	20
1	47	20
2	323	18
3	4001	18
0	8907	18

Stop Event

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

Counts

4 → 274

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (.f64 x 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 x x)))
(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.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)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64))) (-.f64 (.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) #s(literal 2 binary64))) (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x))
(.f64 (/.f64 (pow.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (.f64 x x))))
(.f64 (/.f64 (pow.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (.f64 x x)))
(*.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x)))
(.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (.f64 x x)) (/.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x)) #s(literal 2 binary64))) (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (.f64 x x))) #s(literal 2 binary64))) (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 y x) #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -4 binary64) (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x)) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x))) (/.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (.f64 x x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (.f64 x x))) (/.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (*.f64 x x)))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x)) (*.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 2 binary64)))) (pow.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (.f64 x x)) (.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (.f64 x x)) (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (.f64 x x)) #s(literal 2 binary64)))
(/.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 6 binary64))) (.f64 (pow.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 6 binary64))) (.f64 (-.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (.f64 x x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 6 binary64))) (pow.f64 (.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (*.f64 x x))))
(/.f64 (pow.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (*.f64 x x)))))
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(.f64 (pow.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal 1 binary64)) (-.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 (pow.f64 (fabs.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)))
(.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 (-.f64 y x) x (*.f64 y y)))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 y x) x) #s(literal 2 binary64)))) (-.f64 (.f64 y y) (.f64 (+.f64 y x) x)))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 y x) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 y x) x) (-.f64 (.f64 (+.f64 y x) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) (neg.f64 (sqrt.f64 (-.f64 y x))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) (sqrt.f64 (-.f64 y x)))
(*.f64 (fabs.f64 (sqrt.f64 (-.f64 y x))) (fabs.f64 (sqrt.f64 (-.f64 y x))))
(*.f64 (fabs.f64 (+.f64 y x)) (pow.f64 (/.f64 (-.f64 y x) (+.f64 y x)) #s(literal 1 binary64)))
(.f64 (fabs.f64 (fma.f64 (+.f64 y x) x (.f64 y y))) (pow.f64 (/.f64 (-.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (-.f64 y x)) (neg.f64 (sqrt.f64 (-.f64 y x))))
(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)))
(*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (+.f64 y x)))
(.f64 (fma.f64 (+.f64 y x) x (.f64 y y)) (/.f64 (-.f64 y x) (neg.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)))))
(.f64 (fma.f64 (+.f64 y x) x (.f64 y y)) (/.f64 (-.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y))))
(pow.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 4 binary64)) #s(literal 1/4 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 (-.f64 (pow.f64 (.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64))) (-.f64 y x))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y)))))
(/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (.f64 (.f64 y (/.f64 y (+.f64 y x))) (*.f64 x (/.f64 x (+.f64 y x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y)))))))
(/.f64 (neg.f64 (*.f64 (fabs.f64 (+.f64 y x)) (-.f64 y x))) (neg.f64 (fabs.f64 (+.f64 y x))))
(/.f64 (neg.f64 (*.f64 (fabs.f64 (+.f64 y x)) (-.f64 y x))) (fabs.f64 (+.f64 y x)))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fabs.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))))
(/.f64 (-.f64 (.f64 (.f64 y y) (+.f64 y x)) (.f64 (+.f64 y x) (.f64 x x))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))) (.f64 (fma.f64 (+.f64 y x) x (.f64 y y)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal 2 binary64)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 y x)) (-.f64 y x)) (sqrt.f64 (+.f64 y x)))
(/.f64 (.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (-.f64 y x))) (sqrt.f64 (fma.f64 (+.f64 y x) x (.f64 y y))))
(/.f64 (sqrt.f64 (.f64 (.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (.f64 (+.f64 y x) (fma.f64 (+.f64 y x) x (.f64 y y)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 (fma.f64 y y (.f64 x x)) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (+.f64 y x) x (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (fma.f64 (.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 y x) x (.f64 y y)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 y x) x (.f64 y y))))
(/.f64 (*.f64 (fabs.f64 (+.f64 y x)) (-.f64 y x)) (neg.f64 (fabs.f64 (+.f64 y x))))
(/.f64 (*.f64 (fabs.f64 (+.f64 y x)) (-.f64 y x)) (fabs.f64 (+.f64 y x)))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fabs.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)))))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fabs.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))))
(/.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))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 y x) x (*.f64 y y)))
(neg.f64 (-.f64 y x))
(fma.f64 (/.f64 (.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) x (.f64 y y)) (*.f64 x (/.f64 x (+.f64 y x))))
(fma.f64 (/.f64 (.f64 y y) (.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x) (*.f64 x (/.f64 x (+.f64 y x))))
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 y) (+.f64 y x)) (*.f64 x (/.f64 x (+.f64 y x))))
(fma.f64 y (/.f64 y (+.f64 y x)) (*.f64 x (/.f64 x (+.f64 y x))))
(sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(-.f64 (.f64 x (/.f64 x (+.f64 y x))) (.f64 y (/.f64 y (+.f64 y x))))
(-.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 x (/.f64 x (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (.f64 y y))))
(-.f64 y x)
(-.f64 x y)
(fabs.f64 (-.f64 y x))
(exp.f64 (/.f64 (log.f64 (pow.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)))
(exp.f64 (log.f64 (-.f64 y x)))
(+.f64 (cosh.f64 (log.f64 (-.f64 y x))) (sinh.f64 (log.f64 (-.f64 y x))))
(+.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 x (/.f64 x (+.f64 y x))))

eval21.0ms (0.4%)

Memory: 27.2MiB live, 72.1MiB allocated; 4ms collecting garbage
Compiler: Compiled 4 841 to 704 computations (85.5% saved)

prune10.0ms (0.2%)

Memory

-14.5MiB live, 29.2MiB allocated; 5ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	177	7	184
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	178	7	185

Accuracy

100.0%

Counts

185 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	20.1%	(fma.f64 (.f64 x x) (/.f64 x (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (.f64 x x))) (/.f64 (pow.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)) x) (/.f64 (-.f64 y x) #s(literal -2 binary64)) (*.f64 x x))))
▶	51.6%	(fma.f64 (sqrt.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64))) (sqrt.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64))) x)
▶	39.5%	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (-.f64 y x) #s(literal -2 binary64)))
	53.3%	(+.f64 x (/.f64 (-.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 x (/.f64 x (+.f64 y x)))) #s(literal 2 binary64)))
▶	53.3%	(+.f64 x (/.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (+.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))
▶	51.6%	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))

Compiler

Compiled 270 to 142 computations (47.4% saved)

simplify173.0ms (3.1%)

Memory

-5.0MiB live, 285.7MiB allocated; 62ms collecting garbage

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	173
0	43	155
1	76	155
2	174	155
3	464	139
4	1269	139
5	4121	139
0	8357	136

Stop Event

1×	iter limit
1×	node limit
1×	iter 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))
(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))
(fabs.f64 (-.f64 x y))
(-.f64 x y)
x
y
#s(literal 1/2 binary64)
(+.f64 x (/.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (+.f64 y x))) #s(literal 2 binary64)))
x
(/.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (+.f64 y x))) #s(literal 2 binary64))
(*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (+.f64 y x)))
(+.f64 y x)
y
(/.f64 (-.f64 y x) (+.f64 y x))
(-.f64 y x)
#s(literal 2 binary64)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (-.f64 y x) #s(literal -2 binary64)))
(sqrt.f64 x)
x
(/.f64 (-.f64 y x) #s(literal -2 binary64))
(-.f64 y x)
y
#s(literal -2 binary64)
(fma.f64 (sqrt.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64))) (sqrt.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64))) x)
(sqrt.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)))
(/.f64 (-.f64 y x) #s(literal -2 binary64))
(-.f64 y x)
y
x
#s(literal -2 binary64)

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

localize77.0ms (1.4%)

Memory

37.2MiB live, 183.1MiB allocated; 11ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 (-.f64 y x) #s(literal -2 binary64))
accuracy	0.0	(-.f64 y x)
accuracy	0.01171875	(sqrt.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64)))
accuracy	0.12109375	(fma.f64 (sqrt.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64))) (sqrt.f64 (/.f64 (-.f64 y x) #s(literal -2 binary64))) x)
accuracy	0.0	(/.f64 (-.f64 y x) #s(literal -2 binary64))
accuracy	0.0	(-.f64 y x)
accuracy	0.0	(sqrt.f64 x)
accuracy	0.09375	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (-.f64 y x) #s(literal -2 binary64)))
accuracy	0.0	(+.f64 y x)
accuracy	0.01171875	(+.f64 x (/.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (+.f64 y x))) #s(literal 2 binary64)))
accuracy	0.01953125	(/.f64 (-.f64 y x) (+.f64 y x))
accuracy	0.029628759768442016	(*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (+.f64 y x)))
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))
accuracy	0.0	(fabs.f64 (-.f64 x y))
accuracy	15.239374113943155	#s(approx (+ x (/ (fabs (- y x)) 2)) (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64)))
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(fabs.f64 (-.f64 x y))
accuracy	0.0	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x))
accuracy	0.04296875	(fma.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64) x)

Samples

30.0ms	155×	0	invalid
15.0ms	80×	0	valid
5.0ms	5×	3	valid
4.0ms	10×	1	valid
3.0ms	4×	2	valid
1.0ms	1×	4	valid
1.0ms	1×	5	exit

Compiler

Compiled 163 to 27 computations (83.4% saved)

Precisions

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

ival-div: 11.0ms (27.5% of total)

ival-add: 8.0ms (20% of total)

ival-mult: 6.0ms (15% of total)

adjust: 4.0ms (10% of total)

ival-sqrt: 4.0ms (10% of total)

ival-fabs: 3.0ms (7.5% of total)

ival-sub: 3.0ms (7.5% of total)

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

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

exact: 0.0ms (0% of total)

series27.0ms (0.5%)

Memory

-40.2MiB live, 52.0MiB allocated; 9ms collecting garbage

Counts

17 → 120

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	((+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- x y)) 1/2) (* (+ y x) (/ (- y x) (+ y x))) (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (/ (* (+ y x) (/ (- y x) (+ y x))) 2) (+ y x) (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (sqrt x) (/ (- y x) -2) (- y x) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (sqrt (/ (- y x) -2)) (/ (- y x) (+ y x)))
5.0ms	y	@	-inf	((+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- x y)) 1/2) (* (+ y x) (/ (- y x) (+ y x))) (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (/ (* (+ y x) (/ (- y x) (+ y x))) 2) (+ y x) (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (sqrt x) (/ (- y x) -2) (- y x) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (sqrt (/ (- y x) -2)) (/ (- y x) (+ y x)))
5.0ms	x	@	-inf	((+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- x y)) 1/2) (* (+ y x) (/ (- y x) (+ y x))) (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (/ (* (+ y x) (/ (- y x) (+ y x))) 2) (+ y x) (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (sqrt x) (/ (- y x) -2) (- y x) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (sqrt (/ (- y x) -2)) (/ (- y x) (+ y x)))
3.0ms	x	@	inf	((+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- x y)) 1/2) (* (+ y x) (/ (- y x) (+ y x))) (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (/ (* (+ y x) (/ (- y x) (+ y x))) 2) (+ y x) (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (sqrt x) (/ (- y x) -2) (- y x) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (sqrt (/ (- y x) -2)) (/ (- y x) (+ y x)))
3.0ms	y	@	inf	((+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (fabs (- y x)) 2)) (* (fabs (- x y)) 1/2) (* (+ y x) (/ (- y x) (+ y x))) (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (/ (* (+ y x) (/ (- y x) (+ y x))) 2) (+ y x) (+ (* (sqrt x) (sqrt x)) (/ (- y x) -2)) (sqrt x) (/ (- y x) -2) (- y x) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (sqrt (/ (- y x) -2)) (/ (- y x) (+ y x)))

simplify143.0ms (2.6%)

Memory

46.2MiB live, 231.7MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	439	1671
1	1441	1639
2	5520	1613
0	8464	1533

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 118

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

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

rewrite171.0ms (3.1%)

Memory

-29.9MiB live, 117.3MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	140
0	43	122
1	171	106
0	1437	106

Stop Event

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

Counts

17 → 291

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

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

eval79.0ms (1.4%)

Memory: 1.4MiB live, 92.8MiB allocated; 8ms collecting garbage
Compiler: Compiled 11 652 to 1 563 computations (86.6% saved)

prune10.0ms (0.2%)

Memory

34.1MiB live, 34.1MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	481	7	488
Fresh	2	0	2
Picked	5	0	5
Done	0	0	0
Total	488	7	495

Accuracy

100.0%

Counts

495 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.4%	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
▶	32.7%	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal 3/2 binary64) x))
▶	24.8%	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal -1/2 binary64) y))
	53.3%	#s(approx (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
▶	25.8%	#s(approx (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (*.f64 #s(literal 1/2 binary64) y))
▶	30.1%	#s(approx (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (*.f64 #s(literal 1/2 binary64) x))
▶	56.5%	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x))

Compiler

Compiled 276 to 172 computations (37.7% saved)

simplify187.0ms (3.4%)

Memory

10.7MiB live, 194.5MiB allocated; 29ms collecting garbage

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 #s(literal 3/2 binary64) x)
cost-diff	0	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal 3/2 binary64) x))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) y)
cost-diff	0	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal -1/2 binary64) y))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) y)
cost-diff	0	#s(approx (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (*.f64 #s(literal 1/2 binary64) y))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	#s(approx (- x y) (neg.f64 y))
cost-diff	0	(fabs.f64 #s(approx (- x y) (neg.f64 y)))
cost-diff	0	(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	143
0	42	127
1	75	127
2	136	127
3	274	111
4	683	111
5	1784	111
6	6575	111
0	8443	107

Stop Event

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

Calls

Call 1

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

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

localize139.0ms (2.5%)

Memory

-18.4MiB live, 124.6MiB allocated; 36ms collecting garbage

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal 3/2 binary64) x)
accuracy	15.312837281373566	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal 3/2 binary64) x))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	17.779404157752953	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal -1/2 binary64) y))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) y)
accuracy	17.78594695152531	#s(approx (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (*.f64 #s(literal 1/2 binary64) y))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) x)
accuracy	15.441540406726322	#s(approx (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.0	(fabs.f64 #s(approx (- x y) (neg.f64 y)))
accuracy	0.0	#s(approx (+ x (/ (fabs (- y x)) 2)) (fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x))
accuracy	0.04296875	(fma.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) #s(literal 1/2 binary64) x)
accuracy	17.731600172223697	#s(approx (- x y) (neg.f64 y))

Samples

42.0ms	123×	0	invalid
20.0ms	112×	0	valid
15.0ms	5×	2	valid
4.0ms	5×	3	valid
4.0ms	10×	1	valid
1.0ms	1×	5	exit

Compiler

Compiled 110 to 31 computations (71.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-add: 27.0ms (38.1% of total)

adjust: 15.0ms (21.2% of total)

ival-mult: 11.0ms (15.5% of total)

ival-div: 8.0ms (11.3% of total)

ival-fabs: 3.0ms (4.2% of total)

ival-sub: 3.0ms (4.2% of total)

ival-sqrt: 2.0ms (2.8% of total)

exact: 1.0ms (1.4% of total)

ival-neg: 1.0ms (1.4% of total)

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

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

series8.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated; 0ms collecting garbage

Counts

12 → 43

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	((+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (* 1/2 x) (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (* 1/2 y) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (* -1/2 y) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (* 3/2 x))
1.0ms	x	@	-inf	((+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (* 1/2 x) (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (* 1/2 y) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (* -1/2 y) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (* 3/2 x))
1.0ms	x	@	inf	((+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (* 1/2 x) (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (* 1/2 y) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (* -1/2 y) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (* 3/2 x))
1.0ms	y	@	inf	((+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (* 1/2 x) (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (* 1/2 y) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (* -1/2 y) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (* 3/2 x))
1.0ms	x	@	0	((+ x (/ (fabs (- y x)) 2)) (+ (* (fabs (- x y)) 1/2) x) (fabs (- x y)) (- x y) (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (* 1/2 x) (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (* 1/2 y) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (* -1/2 y) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (* 3/2 x))

simplify308.0ms (5.6%)

Memory

-20.8MiB live, 202.7MiB allocated; 61ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	369
1	385	273
2	1258	272
3	4433	272
0	8138	258

Stop Event

1×	iter limit
1×	node limit

Counts

43 → 42

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

rewrite45.0ms (0.8%)

Memory

29.2MiB live, 29.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	130
0	42	114
1	159	98
0	1178	98

Stop Event

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

Counts

12 → 34

Calls

Call 1

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

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

eval6.0ms (0.1%)

Memory: 9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 466 to 217 computations (85.2% saved)

prune77.0ms (1.4%)

Memory

-23.9MiB live, 46.1MiB allocated; 21ms collecting garbage

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	0	2	2
Picked	1	4	5
Done	0	0	0
Total	59	7	66

Accuracy

100.0%

Counts

66 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.4%	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))
▶	56.4%	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
✓	32.7%	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal 3/2 binary64) x))
✓	24.8%	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal -1/2 binary64) y))
▶	53.3%	#s(approx (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
✓	25.8%	#s(approx (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (*.f64 #s(literal 1/2 binary64) y))
✓	30.1%	#s(approx (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 141 to 84 computations (40.4% saved)

simplify172.0ms (3.1%)

Memory

-24.9MiB live, 164.7MiB allocated; 42ms collecting garbage

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 y x)
cost-diff	0	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
cost-diff	0	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) y)
cost-diff	0	(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
cost-diff	0	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
cost-diff	0	(+.f64 y x)
cost-diff	0	(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	101
0	34	85
1	64	85
2	136	85
3	269	77
4	657	75
5	1673	75
6	6250	75
0	8567	74

Stop Event

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

Calls

Call 1

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

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

localize71.0ms (1.3%)

Memory

0.8MiB live, 91.4MiB allocated; 14ms collecting garbage

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 y x)
accuracy	0.0	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))
accuracy	0.04296875	(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
accuracy	0.0	(fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) y)
accuracy	0.0	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
accuracy	0.0	(+.f64 y x)
accuracy	0.0	(*.f64 (+.f64 y x) #s(literal 1/2 binary64))
accuracy	0.0	#s(approx (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))

Samples

29.0ms	123×	0	invalid
16.0ms	112×	0	valid
3.0ms	5×	3	valid
3.0ms	10×	1	valid
2.0ms	5×	2	valid
0.0ms	1×	5	exit

Compiler

Compiled 85 to 25 computations (70.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-sqrt: 14.0ms (33.6% of total)

ival-mult: 9.0ms (21.6% of total)

ival-add: 7.0ms (16.8% of total)

ival-div: 6.0ms (14.4% of total)

adjust: 3.0ms (7.2% of total)

ival-sub: 2.0ms (4.8% of total)

exact: 1.0ms (2.4% of total)

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

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

series7.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated; 0ms collecting garbage

Counts

9 → 47

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (* (+ y x) 1/2) (+ y x) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (+ (* 3/2 x) (* -1/2 y)) (* -1/2 y) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (+ (* (- y x) -1/2) x) (- y x))
1.0ms	y	@	inf	((+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (* (+ y x) 1/2) (+ y x) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (+ (* 3/2 x) (* -1/2 y)) (* -1/2 y) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (+ (* (- y x) -1/2) x) (- y x))
1.0ms	y	@	0	((+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (* (+ y x) 1/2) (+ y x) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (+ (* 3/2 x) (* -1/2 y)) (* -1/2 y) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (+ (* (- y x) -1/2) x) (- y x))
1.0ms	x	@	inf	((+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (* (+ y x) 1/2) (+ y x) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (+ (* 3/2 x) (* -1/2 y)) (* -1/2 y) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (+ (* (- y x) -1/2) x) (- y x))
1.0ms	x	@	0	((+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (* (+ y x) 1/2) (+ y x) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (+ (* 3/2 x) (* -1/2 y)) (* -1/2 y) (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (+ (* (- y x) -1/2) x) (- y x))

simplify367.0ms (6.7%)

Memory

32.6MiB live, 208.9MiB allocated; 54ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	470
1	425	291
2	1483	290
3	4271	290
0	8163	269

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 45

Calls

Call 1

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

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

rewrite70.0ms (1.3%)

Memory

-43.2MiB live, 67.8MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	91
0	34	75
1	137	67
0	1119	67

Stop Event

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

Counts

9 → 100

Calls

Call 1

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

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

eval14.0ms (0.3%)

Memory: 34.0MiB live, 34.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 4 054 to 479 computations (88.2% saved)

prune11.0ms (0.2%)

Memory

-18.7MiB live, 23.0MiB allocated; 10ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	130	7	137

Accuracy

100.0%

Counts

137 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.4%	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))
✓	56.4%	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 #s(literal 3/2 binary64) x (*.f64 #s(literal -1/2 binary64) y)))
✓	32.7%	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal 3/2 binary64) x))
✓	24.8%	#s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal -1/2 binary64) y))
✓	53.3%	#s(approx (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))
✓	25.8%	#s(approx (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (*.f64 #s(literal 1/2 binary64) y))
✓	30.1%	#s(approx (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (*.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 444 to 161 computations (63.7% saved)

regimes18.0ms (0.3%)

Memory

5.2MiB live, 49.8MiB allocated; 8ms collecting garbage

Counts

16 → 1

Calls

Call 1

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

7.0ms	x
5.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
5.0ms	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

-15.2MiB live, 30.1MiB allocated; 5ms collecting garbage

Counts

8 → 3

Calls

Call 1

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
78.7%	3	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
89.2%	3	`x`
81.0%	2	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes3.0ms (0.1%)

Memory

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

Counts

7 → 3

Calls

Call 1

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

Outputs

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
89.0%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory

17.2MiB live, 17.2MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
81.0%	2	`y`
78.9%	2	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes146.0ms (2.7%)

Memory

-9.5MiB live, 109.3MiB allocated; 110ms collecting garbage

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

141.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
58.0%	3	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
69.6%	2	`x`
71.9%	3	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes7.0ms (0.1%)

Memory

-24.2MiB live, 21.5MiB allocated; 5ms collecting garbage

Counts

4 → 4

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
66.4%	4	`x`
64.2%	3	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

20.9MiB live, 20.9MiB allocated; 0ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
61.3%	3	`y`
49.4%	4	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

-28.4MiB live, 18.8MiB allocated; 2ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
48.7%	2	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`
46.9%	2	`y`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes4.0ms (0.1%)

Memory

21.6MiB live, 21.6MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

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
30.1%	1	`x`
30.1%	1	`y`
30.1%	1	`(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch119.0ms (2.2%)

Memory

-14.4MiB live, 87.2MiB allocated; 8ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
101.0ms	1.2792155572593305e-198	1.4275462986634116e-195
15.0ms	-4.301450052148388e-79	-1.128526455283607e-84

Samples

103.0ms

272×

valid

Compiler

Compiled 699 to 497 computations (28.9% saved)

Precisions

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

ival-sub: 2.0ms (27.9% of total)

ival-div: 2.0ms (27.9% of total)

ival-fabs: 2.0ms (27.9% of total)

ival-add: 1.0ms (14% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch58.0ms (1.1%)

Memory

-19.0MiB live, 28.4MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.2792155572593305e-198	1.4275462986634116e-195
7.0ms	-4.301450052148388e-79	-1.128526455283607e-84

Samples

4.0ms

80×

valid

Compiler

Compiled 631 to 463 computations (26.6% saved)

Precisions

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

ival-div: 1.0ms (51.3% of total)

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

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

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

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

bsearch14.0ms (0.3%)

Memory

32.6MiB live, 32.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.2602534749995579e-190	1.138126133740942e-187

Samples

6.0ms	121×	0	valid
1.0ms	4×	2	valid
0.0ms	3×	1	valid

Compiler

Compiled 355 to 228 computations (35.8% saved)

Precisions

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

ival-div: 1.0ms (24.3% of total)

ival-sub: 1.0ms (24.3% of total)

ival-add: 1.0ms (24.3% of total)

ival-fabs: 1.0ms (24.3% 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)

bsearch16.0ms (0.3%)

Memory

-19.6MiB live, 27.2MiB allocated; 2ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.2602534749995579e-190	1.138126133740942e-187
14.0ms	-0.000405884925185404	-8.399262424459265e-5

Samples

4.0ms	92×	0	valid
0.0ms	3×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 559 to 364 computations (34.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 1.0ms (37% of total)

ival-sub: 1.0ms (37% of total)

ival-fabs: 1.0ms (37% of total)

adjust: 0.0ms (0% of total)

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

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

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

exact: 0.0ms (0% of total)

bsearch24.0ms (0.4%)

Memory

1.1MiB live, 50.0MiB allocated; 5ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
12.0ms	8.094909722286583e-215	3.4569956085525237e-214
8.0ms	-9.391130516940918e-232	-7.544753736988642e-233
1.0ms	-4.301450052148388e-79	-1.128526455283607e-84

Samples

9.0ms	188×	0	valid
4.0ms	4×	1	valid

Compiler

Compiled 809 to 537 computations (33.6% saved)

Precisions

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

ival-sub: 5.0ms (59.4% of total)

ival-div: 1.0ms (11.9% of total)

ival-add: 1.0ms (11.9% of total)

ival-fabs: 1.0ms (11.9% 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 (0.4%)

Memory

0.4MiB live, 47.5MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.4284169471755004e-125	5.4913017349183956e-114
2.0ms	-0.000405884925185404	-8.399262424459265e-5

Samples

9.0ms	166×	0	valid
1.0ms	6×	2	valid
1.0ms	3×	3	valid
0.0ms	1×	1	valid

Compiler

Compiled 619 to 422 computations (31.8% saved)

Precisions

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

adjust: 1.0ms (18.2% of total)

ival-div: 1.0ms (18.2% of total)

ival-sub: 1.0ms (18.2% of total)

ival-fabs: 1.0ms (18.2% of total)

ival-add: 1.0ms (18.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3770181862127035e-160	5.619419697110001e-152

Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify59.0ms (1.1%)

Memory

27.7MiB live, 74.5MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	82	423
1	122	423
2	196	423
3	366	357
4	831	335
5	2009	335

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 -3499601159652819/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) #s(approx (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (.f64 (+.f64 y x) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 7364190262167723/5260135901548373507240989882880128665550339802823173859498280903068732154297080822113666536277588451226982968856178217713019432250183803863127814770651880849955223671128444598191663757884322717271293251735781376 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 (+ ( (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))))
(if (<=.f64 x #s(literal -5249401739479229/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648 binary64)) #s(approx (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (.f64 (+.f64 y x) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 7364190262167723/5260135901548373507240989882880128665550339802823173859498280903068732154297080822113666536277588451226982968856178217713019432250183803863127814770651880849955223671128444598191663757884322717271293251735781376 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) #s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))))
(if (<=.f64 y #s(literal 3762342382584839/627057063764139831929324851379409869378845668175598843037877190478889006888518431438644711527536922839520331484815861906173161536477065546885468336421475511783984145060592245840032548652210559519683510272 binary64)) #s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)) #s(approx (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))))
(if (<=.f64 y #s(literal -6640827866535439/73786976294838206464 binary64)) #s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (.f64 #s(literal -1/2 binary64) y)) (if (<=.f64 y #s(literal 3762342382584839/627057063764139831929324851379409869378845668175598843037877190478889006888518431438644711527536922839520331484815861906173161536477065546885468336421475511783984145060592245840032548652210559519683510272 binary64)) #s(approx (+ ( (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (.f64 #s(literal 3/2 binary64) x)) #s(approx (+ x (/ ( (+ y x) (/ (- y x) (+ y x))) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal -5249401739479229/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648 binary64)) #s(approx (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 x #s(literal -2621969963239285/3495959950985713037648777335653666807949431051290362857597833215614143555340930683513828645730545455985029236965209926766894148041634933679253543217964426223207137977048243664827490388364133151397099610379851714779776678907072458937421726941708288 binary64)) #s(approx (+ ( (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (.f64 #s(literal -1/2 binary64) y)) (if (<=.f64 x #s(literal 2061938091336879/6064523798049644277925701126806650606472211004362096137261922023539261533931159712229993784486900304494092698035668254711607734547323493716579247168129613825017402250081444943555723771998431425098683590600454956058175183022718976 binary64)) #s(approx (+ x (/ ( (+ y x) (/ (- y x) (+ y x))) 2)) (.f64 #s(literal 1/2 binary64) y)) #s(approx (+ ( (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal 3/2 binary64) x)))))
(if (<=.f64 y #s(literal -48999163945791/576460752303423488 binary64)) #s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (.f64 #s(literal -1/2 binary64) y)) (if (<=.f64 y #s(literal 6814113040271315/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) #s(approx (+ x (/ ( (+ y x) (/ (- y x) (+ y x))) 2)) (.f64 #s(literal 1/2 binary64) x)) #s(approx (+ x (/ ( (+ y x) (/ (- y x) (+ y x))) 2)) (*.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal 1582914569427869/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352 binary64)) #s(approx (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (.f64 #s(literal 1/2 binary64) x)) #s(approx (+ x (/ ( (+ y x) (/ (- y x) (+ y x))) 2)) (*.f64 #s(literal 1/2 binary64) y)))
#s(approx (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (*.f64 #s(literal 1/2 binary64) x))

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 -3499601159652819/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) #s(approx (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (.f64 (+.f64 y x) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 7364190262167723/5260135901548373507240989882880128665550339802823173859498280903068732154297080822113666536277588451226982968856178217713019432250183803863127814770651880849955223671128444598191663757884322717271293251735781376 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 (+ ( (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))))
(if (<=.f64 x #s(literal -5249401739479229/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648 binary64)) #s(approx (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (.f64 (+.f64 y x) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 7364190262167723/5260135901548373507240989882880128665550339802823173859498280903068732154297080822113666536277588451226982968856178217713019432250183803863127814770651880849955223671128444598191663757884322717271293251735781376 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/2 binary64))) #s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))))
(if (<=.f64 x #s(literal -5249401739479229/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648 binary64)) #s(approx (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (.f64 (+.f64 y x) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 7364190262167723/5260135901548373507240989882880128665550339802823173859498280903068732154297080822113666536277588451226982968856178217713019432250183803863127814770651880849955223671128444598191663757884322717271293251735781376 binary64)) #s(approx (+ x (/ (fabs (- y x)) 2)) (.f64 (fabs.f64 (-.f64 y x)) #s(literal 1/2 binary64))) #s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x))))
(if (<=.f64 y #s(literal 3762342382584839/627057063764139831929324851379409869378845668175598843037877190478889006888518431438644711527536922839520331484815861906173161536477065546885468336421475511783984145060592245840032548652210559519683510272 binary64)) #s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)) #s(approx (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64))))
(if (<=.f64 y #s(literal -6640827866535439/73786976294838206464 binary64)) #s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (.f64 #s(literal -1/2 binary64) y)) (if (<=.f64 y #s(literal 3762342382584839/627057063764139831929324851379409869378845668175598843037877190478889006888518431438644711527536922839520331484815861906173161536477065546885468336421475511783984145060592245840032548652210559519683510272 binary64)) #s(approx (+ ( (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (.f64 #s(literal 3/2 binary64) x)) #s(approx (+ x (/ ( (+ y x) (/ (- y x) (+ y x))) 2)) (*.f64 (+.f64 y x) #s(literal 1/2 binary64)))))
(if (<=.f64 x #s(literal -5249401739479229/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648 binary64)) #s(approx (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (.f64 #s(literal 1/2 binary64) x)) (if (<=.f64 x #s(literal -2621969963239285/3495959950985713037648777335653666807949431051290362857597833215614143555340930683513828645730545455985029236965209926766894148041634933679253543217964426223207137977048243664827490388364133151397099610379851714779776678907072458937421726941708288 binary64)) #s(approx (+ ( (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (.f64 #s(literal -1/2 binary64) y)) (if (<=.f64 x #s(literal 2061938091336879/6064523798049644277925701126806650606472211004362096137261922023539261533931159712229993784486900304494092698035668254711607734547323493716579247168129613825017402250081444943555723771998431425098683590600454956058175183022718976 binary64)) #s(approx (+ x (/ ( (+ y x) (/ (- y x) (+ y x))) 2)) (.f64 #s(literal 1/2 binary64) y)) #s(approx (+ ( (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (*.f64 #s(literal 3/2 binary64) x)))))
(if (<=.f64 y #s(literal -48999163945791/576460752303423488 binary64)) #s(approx (+ (* (sqrt (/ (- y x) -2)) (sqrt (/ (- y x) -2))) x) (.f64 #s(literal -1/2 binary64) y)) (if (<=.f64 y #s(literal 6814113040271315/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776 binary64)) #s(approx (+ x (/ ( (+ y x) (/ (- y x) (+ y x))) 2)) (.f64 #s(literal 1/2 binary64) x)) #s(approx (+ x (/ ( (+ y x) (/ (- y x) (+ y x))) 2)) (*.f64 #s(literal 1/2 binary64) y))))
(if (<=.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 2 binary64))) #s(literal 1582914569427869/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352 binary64)) #s(approx (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (.f64 #s(literal 1/2 binary64) x)) #s(approx (+ x (/ ( (+ y x) (/ (- y x) (+ y x))) 2)) (*.f64 #s(literal 1/2 binary64) y)))
#s(approx (+ x (/ (* (+ y x) (/ (- y x) (+ y x))) 2)) (*.f64 #s(literal 1/2 binary64) x))

derivations921.0ms (16.8%)

Memory

-23.2MiB live, 885.4MiB allocated; 112ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	439	1671
1	1441	1639
2	5520	1613
0	8464	1533
0	127	369
1	385	273
2	1258	272
3	4433	272
0	8138	258
0	7	21
0	11	20
1	47	20
2	323	18
3	4001	18
0	8907	18
0	43	84
1	127	84
2	346	84
3	968	84
4	2383	84
5	3739	84
6	6329	84
0	8023	80

Stop Event

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

Compiler

Compiled 487 to 81 computations (83.4% saved)

preprocess45.0ms (0.8%)

Memory: 25.4MiB live, 116.8MiB allocated; 11ms collecting garbage
Compiler: Compiled 990 to 176 computations (82.2% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	19	48
1	41	46
2	70	46
3	110	46
4	191	46
5	257	46
6	265	46
7	278	46
8	280	46
0	7	8
0	11	8
1	18	8
2	25	8
3	39	8
4	66	8
5	88	8
6	90	8
7	94	8
8	97	8
0	97	8

Iter	Nodes	Cost
0	19	48
1	41	46
2	70	46
3	110	46
4	191	46
5	257	46
6	265	46
7	278	46
8	280	46
0	7	8
0	11	8
1	18	8
2	25	8
3	39	8
4	66	8
5	88	8
6	90	8
7	94	8
8	97	8
0	97	8

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (23.1%)

explain119.0ms (2.2%)

preprocess73.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify16.0ms (0.3%)

localize23.0ms (0.4%)

series4.0ms (0.1%)

simplify115.0ms (2.1%)

rewrite191.0ms (3.5%)

eval21.0ms (0.4%)

prune10.0ms (0.2%)

simplify173.0ms (3.1%)

localize77.0ms (1.4%)

series27.0ms (0.5%)

simplify143.0ms (2.6%)

rewrite171.0ms (3.1%)

eval79.0ms (1.4%)

prune10.0ms (0.2%)

simplify187.0ms (3.4%)

localize139.0ms (2.5%)

series8.0ms (0.1%)

simplify308.0ms (5.6%)

rewrite45.0ms (0.8%)

eval6.0ms (0.1%)

prune77.0ms (1.4%)

simplify172.0ms (3.1%)

localize71.0ms (1.3%)

series7.0ms (0.1%)

simplify367.0ms (6.7%)

rewrite70.0ms (1.3%)

eval14.0ms (0.3%)

prune11.0ms (0.2%)

regimes18.0ms (0.3%)

regimes12.0ms (0.2%)

regimes3.0ms (0.1%)

regimes5.0ms (0.1%)

regimes146.0ms (2.7%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch119.0ms (2.2%)

bsearch58.0ms (1.1%)

bsearch14.0ms (0.3%)

bsearch16.0ms (0.3%)

bsearch24.0ms (0.4%)

bsearch21.0ms (0.4%)

bsearch0.0ms (0%)

simplify59.0ms (1.1%)

derivations921.0ms (16.8%)

preprocess45.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	19	48
1	41	46
2	70	46
3	110	46
4	191	46
5	257	46
6	265	46
7	278	46
8	280	46
0	7	8
0	11	8
1	18	8
2	25	8
3	39	8
4	66	8
5	88	8
6	90	8
7	94	8
8	97	8
0	97	8