Metrics for Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample950.0ms (23%)

Memory

20.0MiB live, 971.0MiB allocated; 208ms collecting garbage

Samples

695.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 420.0ms

ival-fabs: 213.0ms (50.7% of total)

ival-sqrt: 134.0ms (31.9% of total)

ival-sub: 51.0ms (12.2% of total)

adjust: 13.0ms (3.1% of total)

ival-true: 5.0ms (1.2% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain82.0ms (2%)

Memory

30.3MiB live, 124.7MiB allocated; 10ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`(fabs.f64 (-.f64 x y))`
-	-	`(-.f64 x y)`
-	-	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

40.0ms

512×

valid

Compiler

Compiled 37 to 19 computations (48.6% saved)

Precisions

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

ival-fabs: 21.0ms (74.9% of total)

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

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

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

adjust: 0.0ms (0% of total)

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

preprocess30.0ms (0.7%)

Memory

-3.8MiB live, 42.0MiB allocated; 3ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	31
1	27	31
2	42	31
3	84	31
4	165	31
5	231	31
0	5	5
0	8	5
1	12	5
2	17	5
3	31	5
4	58	5
5	80	5
0	80	5

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))

Outputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))

Symmetry

(sort x y)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sqrt.f64 (fabs.f64 (-.f64 x y)))

Compiler

Compiled 5 to 5 computations (0% saved)

simplify4.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 x y)
cost-diff	0	(fabs.f64 (-.f64 x y))
cost-diff	0	(sqrt.f64 (fabs.f64 (-.f64 x y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	8	14
1	12	14
2	17	14
3	31	14
4	58	14
5	80	14
0	80	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs.f64 (-.f64 x y))
(-.f64 x y)
x
y

Outputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 (fabs.f64 (-.f64 y x)))
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 y x))
(-.f64 x y)
x
y

localize39.0ms (1%)

Memory

-44.2MiB live, 52.1MiB allocated; 11ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x y)
accuracy	0.0	(fabs.f64 (-.f64 x y))
accuracy	0.00390625	(sqrt.f64 (fabs.f64 (-.f64 x y)))

Samples

32.0ms

256×

valid

Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions

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

ival-sqrt: 3.0ms (52.3% of total)

ival-sub: 1.0ms (17.4% of total)

ival-fabs: 1.0ms (17.4% of total)

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

adjust: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated; 0ms collecting garbage

Counts

3 → 14

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs.f64 (-.f64 x y))
(-.f64 x y)

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y))
1.0ms	x	@	inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y))
0.0ms	x	@	-inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y))
0.0ms	x	@	0	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y))
0.0ms	y	@	inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y))

simplify161.0ms (3.9%)

Memory

18.1MiB live, 207.2MiB allocated; 19ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	48
1	87	48
2	253	48
3	720	48
4	1980	48
5	3418	48
6	5648	48
7	7873	48
0	8004	48

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 13

Calls

Call 1

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

Outputs
(sqrt (fabs (- x y)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(sqrt (fabs (neg (+ y (* -1 x)))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 x y))
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(sqrt (fabs (+ x (* -1 y))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)

rewrite131.0ms (3.2%)

Memory

-9.0MiB live, 270.1MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	5	12
0	8	11
1	29	11
2	186	10
3	2058	10
0	8749	10

Stop Event

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

Counts

3 → 474

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs.f64 (-.f64 x y))
(-.f64 x y)

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

eval611.0ms (14.8%)

Memory: -123.2MiB live, 88.2MiB allocated; 981ms collecting garbage
Compiler: Compiled 7 277 to 949 computations (87% saved)

prune4.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	278	2	280
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	279	2	281

Accuracy

100.0%

Counts

281 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sqrt.f64 (-.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 x (/.f64 x (+.f64 y x)))))
▶	100.0%	(sqrt.f64 (-.f64 y x))

Compiler

Compiled 20 to 13 computations (35% saved)

simplify213.0ms (5.1%)

Memory

8.0MiB live, 183.1MiB allocated; 72ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y (+.f64 y x))
cost-diff	0	(*.f64 y (/.f64 y (+.f64 y x)))
cost-diff	0	(sqrt.f64 (-.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 x (/.f64 x (+.f64 y x)))))
cost-diff	12	(-.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 x (/.f64 x (+.f64 y x))))
cost-diff	0	(-.f64 y x)
cost-diff	0	(sqrt.f64 (-.f64 y x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	69
0	20	45
1	30	45
2	48	45
3	104	45
4	202	45
5	389	45
6	601	45
7	1209	45
8	3112	45
9	7203	45
0	8077	45

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 y x))
(-.f64 y x)
y
x
(sqrt.f64 (-.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 x (/.f64 x (+.f64 y x)))))
(-.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 x (/.f64 x (+.f64 y x))))
(*.f64 y (/.f64 y (+.f64 y x)))
y
(/.f64 y (+.f64 y x))
(+.f64 y x)
x
(*.f64 x (/.f64 x (+.f64 y x)))
(/.f64 x (+.f64 y x))

Outputs
(sqrt.f64 (-.f64 y x))
(-.f64 y x)
y
x
(sqrt.f64 (-.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 x (/.f64 x (+.f64 y x)))))
(sqrt.f64 (-.f64 y x))
(-.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 x (/.f64 x (+.f64 y x))))
(-.f64 y x)
(*.f64 y (/.f64 y (+.f64 y x)))
(*.f64 (/.f64 y (+.f64 x y)) y)
y
(/.f64 y (+.f64 y x))
(/.f64 y (+.f64 x y))
(+.f64 y x)
(+.f64 x y)
x
(*.f64 x (/.f64 x (+.f64 y x)))
(*.f64 (/.f64 x (+.f64 x y)) x)
(/.f64 x (+.f64 y x))
(/.f64 x (+.f64 x y))

localize63.0ms (1.5%)

Memory

8.2MiB live, 94.5MiB allocated; 21ms collecting garbage

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 x (/.f64 x (+.f64 y x))))
accuracy	0.015625	(/.f64 y (+.f64 y x))
accuracy	0.0703125	(*.f64 x (/.f64 x (+.f64 y x)))
accuracy	0.08203125	(*.f64 y (/.f64 y (+.f64 y x)))
accuracy	0.0	(-.f64 y x)
accuracy	0.00390625	(sqrt.f64 (-.f64 y x))

Samples

47.0ms

256×

valid

Compiler

Compiled 71 to 13 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 15.0ms (44.8% of total)

ival-div: 6.0ms (17.9% of total)

ival-sqrt: 6.0ms (17.9% of total)

ival-sub: 4.0ms (11.9% of total)

ival-add: 2.0ms (6% of total)

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

adjust: 0.0ms (0% of total)

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

series38.0ms (0.9%)

Memory

-11.6MiB live, 44.8MiB allocated; 29ms collecting garbage

Counts

7 → 97

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 y x))
(-.f64 y x)
(-.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 x (/.f64 x (+.f64 y x))))
(sqrt.f64 (-.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 x (/.f64 x (+.f64 y x)))))
(*.f64 y (/.f64 y (+.f64 y x)))
(/.f64 y (+.f64 y x))
(*.f64 x (/.f64 x (+.f64 y x)))

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

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	y	@	-inf	((sqrt (- y x)) (- y x) (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) (sqrt (- (* y (/ y (+ y x))) (* x (/ x (+ y x))))) (* y (/ y (+ y x))) (/ y (+ y x)) (* x (/ x (+ y x))))
3.0ms	x	@	-inf	((sqrt (- y x)) (- y x) (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) (sqrt (- (* y (/ y (+ y x))) (* x (/ x (+ y x))))) (* y (/ y (+ y x))) (/ y (+ y x)) (* x (/ x (+ y x))))
3.0ms	x	@	inf	((sqrt (- y x)) (- y x) (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) (sqrt (- (* y (/ y (+ y x))) (* x (/ x (+ y x))))) (* y (/ y (+ y x))) (/ y (+ y x)) (* x (/ x (+ y x))))
3.0ms	y	@	inf	((sqrt (- y x)) (- y x) (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) (sqrt (- (* y (/ y (+ y x))) (* x (/ x (+ y x))))) (* y (/ y (+ y x))) (/ y (+ y x)) (* x (/ x (+ y x))))
3.0ms	x	@	0	((sqrt (- y x)) (- y x) (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) (sqrt (- (* y (/ y (+ y x))) (* x (/ x (+ y x))))) (* y (/ y (+ y x))) (/ y (+ y x)) (* x (/ x (+ y x))))

simplify184.0ms (4.5%)

Memory

11.3MiB live, 292.2MiB allocated; 28ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	482	2044
1	1597	1852
2	6269	1807
0	8522	1727

Stop Event

1×	iter limit
1×	node limit

Counts

97 → 95

Calls

Call 1

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

Outputs
(sqrt y)
(sqrt.f64 y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))) x (sqrt.f64 y))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))) x (sqrt.f64 y))
y
(+ y (* -1 x))
(-.f64 y x)
(+ y (* x (- (/ x y) 1)))
(fma.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x y)
(+ y (* x (- (* x (+ (* -1 (/ x (pow y 2))) (/ 1 y))) 1)))
(fma.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) #s(literal 1 binary64)) x y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* x (- (/ x (pow y 2)) (/ 1 y))))
(fma.f64 (-.f64 (/.f64 (/.f64 x y) y) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ (* -1 (/ x (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))))
(fma.f64 (-.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (.f64 y y)) x) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64))
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(* (pow x 2) (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) x)
(* (pow x 2) (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(.f64 (fma.f64 (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) x (/.f64 #s(literal 1 binary64) y)) (.f64 x x))
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(.f64 (fma.f64 (fma.f64 (neg.f64 x) (/.f64 x (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y))) x (/.f64 #s(literal 1 binary64) y)) (.f64 x x))
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) x)
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(.f64 (fma.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 y y) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) x)
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 y y) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(* x (- (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2)))) 1))
(*.f64 (-.f64 (/.f64 (-.f64 y (/.f64 #s(literal 0 binary64) x)) x) #s(literal 1 binary64)) x)
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (/ (+ (* -1 (pow y 2)) (pow y 2)) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y (.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) x)
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (/ (+ (* -1 (pow y 2)) (pow y 2)) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 y (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y (.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) x)
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(/ (+ (* -1 (/ (pow y 3) x)) (pow y 2)) x)
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) (.f64 y y))
(/ (- (+ (/ (pow y 4) (pow x 2)) (pow y 2)) (/ (pow y 3) x)) x)
(/.f64 (fma.f64 y y (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) x)) x)
(/ (- (+ (* -1 (/ (pow y 5) (pow x 3))) (pow y 2)) (+ (* -1 (/ (pow y 4) (pow x 2))) (/ (pow y 3) x))) x)
(/.f64 (-.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (/.f64 (+.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) x) (pow.f64 y #s(literal 3 binary64))) x)) x)
(/ y x)
(/.f64 y x)
(/ (+ y (* -1 (/ (pow y 2) x))) x)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y)
(/ (- (+ y (/ (pow y 3) (pow x 2))) (/ (pow y 2) x)) x)
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 y) y (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) x) y) x)
(/ (- (+ y (* -1 (/ (pow y 4) (pow x 3)))) (+ (* -1 (/ (pow y 3) (pow x 2))) (/ (pow y 2) x))) x)
(/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) x)) x)) x)
x
(* x (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* x (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)))
(+.f64 x (*.f64 (/.f64 (fma.f64 (/.f64 y x) y (neg.f64 y)) x) x))
(* x (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))
(.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y)) x)
(* -1 (* (sqrt x) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) y) y)) (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 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) y) y)) (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 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(fma.f64 (/.f64 y x) x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x))) x)))))
(fma.f64 (/.f64 (-.f64 y (/.f64 #s(literal 0 binary64) x)) x) x (neg.f64 x))
(* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (+ (* -1 (pow y 2)) (pow y 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal 0 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 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/8 (* (sqrt x) (* (pow y 2) (sqrt -1)))) (* 1/2 (* (sqrt x) (* (sqrt -1) (+ (* -1 (pow y 2)) (pow y 2)))))) (pow x 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 (sqrt.f64 x) #s(literal 0 binary64)) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) y) y)) (sqrt.f64 x))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))))
(* -1 (/ (+ (* -1 (pow y 2)) (/ (pow y 3) x)) x))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) (.f64 y y))
(* -1 (/ (+ (* -1 (/ (- (/ (pow y 4) x) (pow y 3)) x)) (* -1 (pow y 2))) x))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) x)) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow y 5) x) (pow y 4)) x)) (pow y 3)) x)) (* -1 (pow y 2))) x))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 5 binary64)) x) (pow.f64 y #s(literal 4 binary64))) (neg.f64 x)) (pow.f64 y #s(literal 3 binary64))) x)) x))
(* -1 (/ (+ (* -1 y) (/ (pow y 2) x)) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y)
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x))) x))
(/.f64 (-.f64 y (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) (.f64 y y))) x)
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (pow y 3)) x)) (pow y 2)) x))) x))
(/.f64 (-.f64 y (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))) x)) x))) x)
(* -1 (* x (- (/ y x) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1)))
(.f64 (neg.f64 (-.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y) #s(literal 1 binary64))) x)
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1)))
(.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 y (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) (*.f64 y y))) x) #s(literal 1 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) #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 binary64))) #s(literal 1/2 binary64))) y (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 #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 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) y (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(- y x)
(-.f64 y x)
(* (pow y 2) (+ (* -1 (/ y (pow x 2))) (/ 1 x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) (.f64 y y))
(* (pow y 2) (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)))
(.f64 (fma.f64 (-.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) y (/.f64 #s(literal 1 binary64) x)) (.f64 y y))
(* (pow y 2) (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))
(.f64 (fma.f64 (fma.f64 (/.f64 (neg.f64 y) (pow.f64 x #s(literal 4 binary64))) y (-.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) y (/.f64 #s(literal 1 binary64) x)) (.f64 y y))
(* y (+ (* -1 (/ y (pow x 2))) (/ 1 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y)
(* y (+ (* y (- (/ y (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)))
(fma.f64 (-.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.f64 y y) (/.f64 y x))
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))
(fma.f64 (fma.f64 (/.f64 (neg.f64 y) (pow.f64 x #s(literal 4 binary64))) y (-.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) (*.f64 y y) (/.f64 y x))
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (/ y x) 1)))
(fma.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) y x)
(+ x (* y (- (* y (+ (* -1 (/ y (pow x 2))) (/ 1 x))) 1)))
(fma.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) y) #s(literal 1 binary64)) y x)
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y)
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
(.f64 (-.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) y)
(* y (+ 1 (* -1 (/ x y))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(* y (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2)))) (/ x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/2 (* (sqrt (/ 1 (pow y 5))) (+ (* -1 (pow x 2)) (pow x 2)))))))
(.f64 (fma.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/2 (* (sqrt (/ 1 (pow y 5))) (+ (* -1 (pow x 2)) (pow x 2)))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))))
(.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)) #s(literal -1/2 binary64) (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)
(* y (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)))
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) #s(literal 1 binary64)) y)
(* y (- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (/.f64 x y) x) x) y) x x) y)) y)
(- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y))
(fma.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow x 3) (pow y 3)))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 x y) x) x) y) x x) y))
(/ (+ (* -1 (/ (pow x 3) y)) (pow x 2)) y)
(.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) x)
(/ (- (+ (/ (pow x 4) (pow y 2)) (pow x 2)) (/ (pow x 3) y)) y)
(/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)
(/ (- (+ (* -1 (/ (pow x 5) (pow y 3))) (pow x 2)) (+ (* -1 (/ (pow x 4) (pow y 2))) (/ (pow x 3) y))) y)
(/.f64 (-.f64 (fma.f64 x x (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (/.f64 (+.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) y) (pow.f64 x #s(literal 3 binary64))) y)) y)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 y))
(* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(fma.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (neg.f64 y))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/16 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) (neg.f64 y))
(* -1 (* y (- (/ x y) 1)))
(*.f64 (neg.f64 y) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(* -1 (* y (- (* -1 (/ (- (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y)) x) y)) 1)))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (* y (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(fma.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))
(* -1 (* y (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 5))) (+ (* -1 (pow x 2)) (pow x 2)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (neg.f64 y))
(* -1 (* y (+ (* -1 (/ (+ (* -1/2 (* (sqrt y) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt y)))) (pow y 3))) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 y)) (/.f64 (.f64 x x) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (sqrt.f64 y))) (pow.f64 (neg.f64 y) #s(literal 3 binary64))))) (neg.f64 y))
(* -1 (* y (- (* -1 (/ (- (/ (pow x 2) y) x) y)) 1)))
(.f64 (-.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y)) x) y)) 1)))
(.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (/.f64 x y) x) x) y) x x) y) #s(literal 1 binary64)) (neg.f64 y))
(+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) (* -1 x)) y)))
(fma.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x 3) y)) (* -1 (pow x 2))) y)) (* -1 x)) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 x y) x) x) y) x x) y))
(* -1 (/ (+ (* -1 (pow x 2)) (/ (pow x 3) y)) y))
(.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y) x) x)
(* -1 (/ (+ (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (* -1 (pow x 2))) y))
(/.f64 (-.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y))) y)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) y) (pow x 4)) y)) (pow x 3)) y)) (* -1 (pow x 2))) y))
(/.f64 (-.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) y) (pow.f64 x #s(literal 4 binary64))) (neg.f64 y)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y))) y)

rewrite276.0ms (6.7%)

Memory

23.8MiB live, 455.5MiB allocated; 79ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	57
0	20	33
1	64	33
2	451	33
3	7236	33
0	8314	33

Stop Event

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

Counts

7 → 620

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 y x))
(-.f64 y x)
(-.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 x (/.f64 x (+.f64 y x))))
(sqrt.f64 (-.f64 (.f64 y (/.f64 y (+.f64 y x))) (.f64 x (/.f64 x (+.f64 y x)))))
(*.f64 y (/.f64 y (+.f64 y x)))
(/.f64 y (+.f64 y x))
(*.f64 x (/.f64 x (+.f64 y x)))

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

eval102.0ms (2.5%)

Memory: -2.0MiB live, 136.2MiB allocated; 19ms collecting garbage
Compiler: Compiled 17 333 to 2 050 computations (88.2% saved)

prune27.0ms (0.6%)

Memory

-20.0MiB live, 26.0MiB allocated; 4ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	489	3	492
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	490	4	494

Accuracy

100.0%

Counts

494 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (-.f64 y x))
▶	86.5%	(sqrt.f64 #s(approx (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
▶	52.6%	(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
▶	48.8%	#s(approx (sqrt (- y x)) (sqrt.f64 y))

Compiler

Compiled 42 to 30 computations (28.6% saved)

simplify113.0ms (2.7%)

Memory

14.3MiB live, 105.2MiB allocated; 26ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	21	91
0	28	91
1	40	91
2	58	85
3	114	83
4	214	83
5	410	83
6	626	83
7	1239	71
8	3153	67
9	7245	67
0	8031	67

Stop Event

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

Calls

Call 1

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

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

localize51.0ms (1.2%)

Memory

37.9MiB live, 80.7MiB allocated; 7ms collecting garbage

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) (/.f64 x y))
accuracy	0.0	(sqrt.f64 #s(approx (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
accuracy	0.0	#s(approx (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y))
accuracy	3.9503749745623886	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
accuracy	0.0	(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
accuracy	0.0	(neg.f64 x)
accuracy	29.94538652463181	#s(approx (- y x) (neg.f64 x))
accuracy	0.0	(sqrt.f64 y)
accuracy	16.240046097171387	#s(approx (sqrt (- y x)) (sqrt.f64 y))

Samples

22.0ms	190×	0	valid
19.0ms	66×	0	invalid

Compiler

Compiled 68 to 19 computations (72.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 5.0ms (24.5% of total)

ival-sqrt: 5.0ms (24.5% of total)

ival-mult: 4.0ms (19.6% of total)

ival-sub: 4.0ms (19.6% of total)

ival-add: 1.0ms (4.9% of total)

ival-neg: 1.0ms (4.9% 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)

series29.0ms (0.7%)

Memory

-22.8MiB live, 17.9MiB allocated; 10ms collecting garbage

Counts

9 → 49

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	x	@	inf	((sqrt (- y x)) (sqrt y) (sqrt (- y x)) (- y x) (neg x) (sqrt (- (* y (/ y (+ y x))) (* x (/ x (+ y x))))) (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) (* (- 1 (/ x y)) y) (- 1 (/ x y)))
3.0ms	y	@	0	((sqrt (- y x)) (sqrt y) (sqrt (- y x)) (- y x) (neg x) (sqrt (- (* y (/ y (+ y x))) (* x (/ x (+ y x))))) (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) (* (- 1 (/ x y)) y) (- 1 (/ x y)))
2.0ms	y	@	-inf	((sqrt (- y x)) (sqrt y) (sqrt (- y x)) (- y x) (neg x) (sqrt (- (* y (/ y (+ y x))) (* x (/ x (+ y x))))) (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) (* (- 1 (/ x y)) y) (- 1 (/ x y)))
1.0ms	x	@	-inf	((sqrt (- y x)) (sqrt y) (sqrt (- y x)) (- y x) (neg x) (sqrt (- (* y (/ y (+ y x))) (* x (/ x (+ y x))))) (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) (* (- 1 (/ x y)) y) (- 1 (/ x y)))
1.0ms	y	@	inf	((sqrt (- y x)) (sqrt y) (sqrt (- y x)) (- y x) (neg x) (sqrt (- (* y (/ y (+ y x))) (* x (/ x (+ y x))))) (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) (* (- 1 (/ x y)) y) (- 1 (/ x y)))

simplify284.0ms (6.9%)

Memory

6.0MiB live, 255.9MiB allocated; 54ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	265	1196
1	911	1069
2	4285	1031
0	8130	975

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 48

Calls

Call 1

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

Outputs
(sqrt y)
(sqrt.f64 y)
(+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))) x (sqrt.f64 y))
(+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))) x (sqrt.f64 y))
y
(+ y (* -1 x))
(-.f64 y x)
(* -1 x)
(neg.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) x)
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) x)
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (fma.f64 (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) #s(literal 1/16 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))) x)
(* x (- (/ y x) 1))
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (/ (+ (* -1 (pow y 2)) (pow y 2)) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y (.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) x)
(* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (/ (+ (* -1 (pow y 2)) (pow y 2)) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y (.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)) (.f64 (/.f64 (.f64 (*.f64 y y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64)))) x)
(* x (- (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (/ y x) (/ (pow y 2) (pow x 2)))) 1))
(*.f64 (-.f64 (/.f64 (-.f64 y (/.f64 #s(literal 0 binary64) x)) x) #s(literal 1 binary64)) x)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* x (- (/ 1 x) (/ 1 y)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (* (sqrt x) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) y) y)) (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 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
(.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) y) y)) (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 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(*.f64 (+.f64 (/.f64 y x) #s(literal -1 binary64)) x)
(* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (+ (* -1 (pow y 2)) (pow y 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal 0 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 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/8 (* (sqrt x) (* (pow y 2) (sqrt -1)))) (* 1/2 (* (sqrt x) (* (sqrt -1) (+ (* -1 (pow y 2)) (pow y 2)))))) (pow x 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 (sqrt.f64 x) #s(literal -1/8 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) y) y) (.f64 (.f64 (sqrt.f64 x) #s(literal 0 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 x #s(literal 3 binary64))))))
(* -1 (* x (+ 1 (* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x))) x)))))
(*.f64 (+.f64 (/.f64 (-.f64 y (/.f64 #s(literal 0 binary64) x)) x) #s(literal -1 binary64)) x)
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ y (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))) (* (sqrt x) (sqrt -1)))
(fma.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) y (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) (/ y (pow (sqrt -1) 5)))))))) (* (sqrt x) (sqrt -1)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 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)))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64))) y (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) y (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(- y x)
(-.f64 y x)
(/ (- y x) y)
(/.f64 (-.f64 y x) y)
(* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y)
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))
(.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* -1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7)))))))))
(.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) y)
(* y (+ 1 (* -1 (/ x y))))
(*.f64 (/.f64 (-.f64 y x) y) y)
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/2 (* (sqrt (/ 1 (pow y 5))) (+ (* -1 (pow x 2)) (pow x 2)))))))
(.f64 (fma.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)
(* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/2 (* (sqrt (/ 1 (pow y 5))) (+ (* -1 (pow x 2)) (pow x 2)))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5)))))))))
(.f64 (fma.f64 (fma.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)) #s(literal -1/2 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)
(* y (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2)))) (/ x y)))
(*.f64 (/.f64 (-.f64 y x) y) y)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 y))
(* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))) y)
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (fma.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))))) y)
(* -1 (* y (- (/ x y) 1)))
(*.f64 (neg.f64 y) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(* -1 (* y (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))
(* -1 (* y (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 5))) (+ (* -1 (pow x 2)) (pow x 2)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))) y)
(* -1 (* y (+ (* -1 (/ (+ (* -1/2 (* (sqrt y) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt y)))) (pow y 3))) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) x (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 y) (*.f64 #s(literal 0 binary64) (sqrt.f64 y))) (pow.f64 y #s(literal 3 binary64))))))
(* -1 (* y (- (* -1 (/ (- (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y)) x) y)) 1)))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 y)) #s(literal 1 binary64)))

rewrite219.0ms (5.3%)

Memory

11.4MiB live, 201.1MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	83
0	28	83
1	90	59
2	603	59
0	8540	59

Stop Event

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

Counts

9 → 70

Calls

Call 1

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

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

eval20.0ms (0.5%)

Memory: -14.9MiB live, 30.9MiB allocated; 8ms collecting garbage
Compiler: Compiled 3 890 to 527 computations (86.5% saved)

prune4.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	115	4	119

Accuracy

100.0%

Counts

119 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (-.f64 y x))
✓	86.5%	(sqrt.f64 #s(approx (- (* y (/ y (+ y x))) (* x (/ x (+ y x)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
✓	52.6%	(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
✓	48.8%	#s(approx (sqrt (- y x)) (sqrt.f64 y))

Compiler

Compiled 105 to 63 computations (40% saved)

regimes23.0ms (0.6%)

Memory

-18.5MiB live, 28.5MiB allocated; 2ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

Outputs
(sqrt.f64 (-.f64 y x))

Calls

5 calls:

14.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
2.0ms	(fabs.f64 (-.f64 x y))
2.0ms	(-.f64 x y)
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`(-.f64 x y)`
100.0%	1	`(fabs.f64 (-.f64 x y))`
100.0%	1	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes7.0ms (0.2%)

Memory

23.3MiB live, 23.3MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (sqrt (- y x)) (sqrt.f64 y))
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))

Outputs
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
#s(approx (sqrt (- y x)) (sqrt.f64 y))

Calls

5 calls:

1.0ms	(fabs.f64 (-.f64 x y))
1.0ms	(-.f64 x y)
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
62.4%	5	`(-.f64 x y)`
62.4%	5	`(fabs.f64 (-.f64 x y))`
62.4%	5	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
83.5%	2	`x`
86.7%	2	`y`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes25.0ms (0.6%)

Memory

-26.6MiB live, 20.1MiB allocated; 3ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (- y x)) (sqrt.f64 y))

Outputs
#s(approx (sqrt (- y x)) (sqrt.f64 y))

Calls

5 calls:

21.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
1.0ms	(fabs.f64 (-.f64 x y))
1.0ms	y
1.0ms	(-.f64 x y)
1.0ms	x

Results

Accuracy	Segments	Branch
48.8%	1	`(-.f64 x y)`
48.8%	1	`(fabs.f64 (-.f64 x y))`
48.8%	1	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
48.8%	1	`x`
48.8%	1	`y`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch10.0ms (0.3%)

Memory

20.2MiB live, 20.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.4827422368951616e-106	7.439243472647902e-103

Samples

5.0ms

128×

valid

Compiler

Compiled 120 to 122 computations (-1.7% saved)

Precisions

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

ival-sub: 1.0ms (43.6% of total)

ival-fabs: 1.0ms (43.6% of total)

ival-sqrt: 1.0ms (43.6% of total)

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

adjust: 0.0ms (0% of total)

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

simplify112.0ms (2.7%)

Memory

-35.1MiB live, 19.8MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	29
1	20	29
2	21	29

Stop Event

1×

saturated

Calls

Call 1

Inputs

(sqrt.f64 (-.f64 y x))

(if (<=.f64 y #s(literal 3732158026922485/5043456793138493339171717132818382567050206626619577173497381555743452386751642958261026080625269202023248382759272448 binary64)) (sqrt.f64 #s(approx (- y x) (neg.f64 x))) #s(approx (sqrt (- y x)) (sqrt.f64 y)))

#s(approx (sqrt (- y x)) (sqrt.f64 y))

Outputs

(sqrt.f64 (-.f64 y x))

(if (<=.f64 y #s(literal 3732158026922485/5043456793138493339171717132818382567050206626619577173497381555743452386751642958261026080625269202023248382759272448 binary64)) (sqrt.f64 #s(approx (- y x) (neg.f64 x))) #s(approx (sqrt (- y x)) (sqrt.f64 y)))

#s(approx (sqrt (- y x)) (sqrt.f64 y))

derivations278.0ms (6.7%)

Memory

23.9MiB live, 269.1MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	482	2044
1	1597	1852
2	6269	1807
0	8522	1727
0	5	12
0	8	11
1	29	11
2	186	10
3	2058	10
0	8749	10

Stop Event

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

Compiler

Compiled 29 to 14 computations (51.7% saved)

preprocess43.0ms (1%)

Memory: 9.9MiB live, 56.5MiB allocated; 2ms collecting garbage
Compiler: Compiled 76 to 46 computations (39.5% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	15	31
1	27	31
2	42	31
3	84	31
4	165	31
5	231	31
0	5	5
0	8	5
1	12	5
2	17	5
3	31	5
4	58	5
5	80	5
0	80	5

Iter	Nodes	Cost
0	15	31
1	27	31
2	42	31
3	84	31
4	165	31
5	231	31
0	5	5
0	8	5
1	12	5
2	17	5
3	31	5
4	58	5
5	80	5
0	80	5

start0.0ms (0%)

analyze0.0ms (0%)

sample950.0ms (23%)

explain82.0ms (2%)

preprocess30.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize39.0ms (1%)

series3.0ms (0.1%)

simplify161.0ms (3.9%)

rewrite131.0ms (3.2%)

eval611.0ms (14.8%)

prune4.0ms (0.1%)

simplify213.0ms (5.1%)

localize63.0ms (1.5%)

series38.0ms (0.9%)

simplify184.0ms (4.5%)

rewrite276.0ms (6.7%)

eval102.0ms (2.5%)

prune27.0ms (0.6%)

simplify113.0ms (2.7%)

localize51.0ms (1.2%)

series29.0ms (0.7%)

simplify284.0ms (6.9%)

rewrite219.0ms (5.3%)

eval20.0ms (0.5%)

prune4.0ms (0.1%)

regimes23.0ms (0.6%)

regimes7.0ms (0.2%)

regimes25.0ms (0.6%)

bsearch10.0ms (0.3%)

simplify112.0ms (2.7%)

derivations278.0ms (6.7%)

preprocess43.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	31
1	27	31
2	42	31
3	84	31
4	165	31
5	231	31
0	5	5
0	8	5
1	12	5
2	17	5
3	31	5
4	58	5
5	80	5
0	80	5