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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

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)

sample912.0ms (21.1%)

Memory

-16.6MiB live, 787.3MiB allocated

Samples

651.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 445.0ms

ival-sqrt: 246.0ms (55.3% of total)

ival-sub: 137.0ms (30.8% of total)

ival-fabs: 52.0ms (11.7% of total)

ival-true: 7.0ms (1.6% of total)

ival-assert: 4.0ms (0.9% of total)

Bogosity

explain148.0ms (3.4%)

Memory

12.1MiB live, 85.7MiB allocated

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

22.0ms

512×

valid

Compiler

Compiled 37 to 19 computations (48.6% saved)

Precisions

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

ival-sub: 3.0ms (30% of total)

ival-fabs: 3.0ms (30% of total)

ival-sqrt: 3.0ms (30% of total)

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

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

preprocess62.0ms (1.4%)

Memory

-18.3MiB live, 27.0MiB allocated

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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

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

11.7MiB live, 11.7MiB allocated

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

localize64.0ms (1.5%)

Memory

-1.5MiB live, 38.0MiB allocated

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

60.0ms

256×

valid

Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-fabs: 50.0ms (93.7% of total)

ival-sqrt: 2.0ms (3.7% of total)

ival-sub: 1.0ms (1.9% of total)

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

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

series3.0ms (0.1%)

Memory

2.6MiB live, 2.6MiB allocated

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))

simplify142.0ms (3.3%)

Memory

-20.3MiB live, 101.6MiB allocated

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)

rewrite139.0ms (3.2%)

Memory

25.1MiB live, 138.7MiB allocated

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

eval61.0ms (1.4%)

Memory: -5.0MiB live, 46.0MiB allocated
Compiler: Compiled 7 277 to 949 computations (87% saved)

prune12.0ms (0.3%)

Memory

-25.9MiB live, 13.3MiB allocated

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
▶	71.8%	(*.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)))
▶	100.0%	(sqrt.f64 (-.f64 y x))

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify4.0ms (0.1%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 y x)
cost-diff	0	(pow.f64 (-.f64 y x) #s(literal 3/2 binary64))
cost-diff	0	(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/4 binary64))
cost-diff	0	(*.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)))
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	47
0	17	47
1	18	47
0	18	47

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 y x))
(-.f64 y x)
y
x
(*.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)))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (-.f64 y x) #s(literal 3/2 binary64))
(-.f64 y x)
y
x
#s(literal 3/2 binary64)
#s(literal 1/4 binary64)
(pow.f64 (-.f64 y x) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)

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

localize77.0ms (1.8%)

Memory

17.5MiB live, 55.3MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(pow.f64 (-.f64 y x) #s(literal 1/8 binary64))
accuracy	0.01953125	(pow.f64 (-.f64 y x) #s(literal 3/2 binary64))
accuracy	0.38671875	(*.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)))
accuracy	17.86669927546121	(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/4 binary64))
accuracy	0.0	(-.f64 y x)
accuracy	0.00390625	(sqrt.f64 (-.f64 y x))

Samples

70.0ms

256×

valid

Compiler

Compiled 49 to 13 computations (73.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-sqrt: 41.0ms (68.1% of total)

ival-pow: 15.0ms (24.9% of total)

ival-sub: 2.0ms (3.3% of total)

ival-mult: 2.0ms (3.3% of total)

exact: 1.0ms (1.7% of total)

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

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

series216.0ms (5%)

Memory

-13.2MiB live, 181.7MiB allocated

Counts

6 → 97

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 y x))
(-.f64 y x)
(*.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)))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (-.f64 y x) #s(literal 3/2 binary64))
(pow.f64 (-.f64 y x) #s(literal 1/8 binary64))

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))
(pow (* 1 (pow y 3)) 1/8)
(+ (* -3/8 (* (pow (/ 1 (pow y 5)) 1/8) x)) (pow (* 1 (pow y 3)) 1/8))
(+ (* x (+ (* -3/8 (pow (/ 1 (pow y 5)) 1/8)) (* (pow (* 1 (pow y 3)) 1/8) (* x (+ (* 1/16 (+ (* -1 (/ (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2) (pow y 6))) (* 2 (/ (+ y (* 2 y)) (pow y 3))))) (* 9/128 (/ 1 (pow y 2)))))))) (pow (* 1 (pow y 3)) 1/8))
(+ (* x (+ (* -3/8 (pow (/ 1 (pow y 5)) 1/8)) (* x (+ (* (pow (* 1 (pow y 3)) 1/8) (* x (- (+ (* -3/128 (/ (+ (* -1 (/ (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2) (pow y 6))) (* 2 (/ (+ y (* 2 y)) (pow y 3)))) y)) (* 1/48 (- (+ (* -6 (/ (* (+ y (* 2 y)) (+ (* -2 (pow y 2)) (* -1 (pow y 2)))) (pow y 6))) (* 2 (/ (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 3) (pow y 9)))) (* 6 (/ 1 (pow y 3)))))) (* 9/1024 (/ 1 (pow y 3)))))) (* (pow (* 1 (pow y 3)) 1/8) (+ (* 1/16 (+ (* -1 (/ (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2) (pow y 6))) (* 2 (/ (+ y (* 2 y)) (pow y 3))))) (* 9/128 (/ 1 (pow y 2))))))))) (pow (* 1 (pow y 3)) 1/8))
(sqrt (pow y 3))
(+ (sqrt (pow y 3)) (* 1/2 (* (* x (+ (* -2 (pow y 2)) (* -1 (pow y 2)))) (sqrt (/ 1 (pow y 3))))))
(+ (sqrt (pow y 3)) (* x (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (+ (* -2 (pow y 2)) (* -1 (pow y 2))))) (* 1/2 (* (* x (- (+ y (* 2 y)) (* 1/4 (/ (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2) (pow y 3))))) (sqrt (/ 1 (pow y 3))))))))
(+ (sqrt (pow y 3)) (* x (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (+ (* -2 (pow y 2)) (* -1 (pow y 2))))) (* x (+ (* -1/2 (* (* x (+ 1 (* 1/2 (/ (* (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (- (+ y (* 2 y)) (* 1/4 (/ (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2) (pow y 3))))) (pow y 3))))) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (sqrt (/ 1 (pow y 3))) (- (+ y (* 2 y)) (* 1/4 (/ (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2) (pow y 3)))))))))))
(pow (* 1 y) 1/8)
(+ (* -1/8 (* (pow (/ 1 (pow y 7)) 1/8) x)) (pow (* 1 y) 1/8))
(+ (* x (+ (* -1/8 (pow (/ 1 (pow y 7)) 1/8)) (* -7/128 (* (pow (/ 1 (pow y 15)) 1/8) x)))) (pow (* 1 y) 1/8))
(+ (* x (+ (* -1/8 (pow (/ 1 (pow y 7)) 1/8)) (* x (+ (* -7/128 (pow (/ 1 (pow y 15)) 1/8)) (* -35/1024 (* (pow (/ 1 (pow y 23)) 1/8) x)))))) (pow (* 1 y) 1/8))
(* (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))
(exp (* 1/8 (+ (log -1) (* -3 (log (/ 1 x))))))
(+ (exp (* 1/8 (+ (log -1) (* -3 (log (/ 1 x)))))) (* -1/8 (/ (* (exp (* 1/8 (+ (log -1) (* -3 (log (/ 1 x)))))) (+ y (* 2 y))) x)))
(+ (exp (* 1/8 (+ (log -1) (* -3 (log (/ 1 x)))))) (+ (* -1/8 (/ (* (exp (* 1/8 (+ (log -1) (* -3 (log (/ 1 x)))))) (+ y (* 2 y))) x)) (/ (* (exp (* 1/8 (+ (log -1) (* -3 (log (/ 1 x)))))) (+ (* 1/128 (pow (+ y (* 2 y)) 2)) (* 1/16 (+ (* -2 (+ (* -2 (pow y 2)) (* -1 (pow y 2)))) (* -1 (pow (+ y (* 2 y)) 2)))))) (pow x 2))))
(+ (exp (* 1/8 (+ (log -1) (* -3 (log (/ 1 x)))))) (+ (* -1/8 (/ (* (exp (* 1/8 (+ (log -1) (* -3 (log (/ 1 x)))))) (+ y (* 2 y))) x)) (+ (/ (* (exp (* 1/8 (+ (log -1) (* -3 (log (/ 1 x)))))) (+ (* -1/128 (* (+ y (* 2 y)) (+ (* -2 (+ (* -2 (pow y 2)) (* -1 (pow y 2)))) (* -1 (pow (+ y (* 2 y)) 2))))) (+ (* -1/3072 (pow (+ y (* 2 y)) 3)) (* 1/48 (+ (* -6 (* (+ y (* 2 y)) (+ (* -2 (pow y 2)) (* -1 (pow y 2))))) (+ (* -6 (pow y 3)) (* -2 (pow (+ y (* 2 y)) 3)))))))) (pow x 3)) (/ (* (exp (* 1/8 (+ (log -1) (* -3 (log (/ 1 x)))))) (+ (* 1/128 (pow (+ y (* 2 y)) 2)) (* 1/16 (+ (* -2 (+ (* -2 (pow y 2)) (* -1 (pow y 2)))) (* -1 (pow (+ y (* 2 y)) 2)))))) (pow x 2)))))
(* (sqrt (pow x 3)) (sqrt -1))
(* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ y (* 2 y)) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ y (* 2 y)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ y (* 2 y)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (/ (- (pow y 3) (* 1/4 (/ (* x (pow (+ y (* 2 y)) 2)) (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(exp (* 1/8 (+ (log -1) (* -1 (log (/ 1 x))))))
(+ (exp (* 1/8 (+ (log -1) (* -1 (log (/ 1 x)))))) (* -1/8 (/ (* y (exp (* 1/8 (+ (log -1) (* -1 (log (/ 1 x))))))) x)))
(+ (exp (* 1/8 (+ (log -1) (* -1 (log (/ 1 x)))))) (+ (* -1/8 (/ (* y (exp (* 1/8 (+ (log -1) (* -1 (log (/ 1 x))))))) x)) (/ (* (exp (* 1/8 (+ (log -1) (* -1 (log (/ 1 x)))))) (+ (* -1/16 (pow y 2)) (* 1/128 (pow y 2)))) (pow x 2))))
(+ (exp (* 1/8 (+ (log -1) (* -1 (log (/ 1 x)))))) (+ (* -1/8 (/ (* y (exp (* 1/8 (+ (log -1) (* -1 (log (/ 1 x))))))) x)) (+ (/ (* (exp (* 1/8 (+ (log -1) (* -1 (log (/ 1 x)))))) (+ (* -1/16 (pow y 2)) (* 1/128 (pow y 2)))) (pow x 2)) (/ (* (exp (* 1/8 (+ (log -1) (* -1 (log (/ 1 x)))))) (+ (* -1/24 (pow y 3)) (+ (* -1/3072 (pow y 3)) (* 1/128 (pow y 3))))) (pow x 3)))))
(* -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)))))
(pow (* -1 (pow x 3)) 1/8)
(+ (* -1/8 (* (pow (/ -1 (pow x 5)) 1/8) (+ y (* 2 y)))) (pow (* -1 (pow x 3)) 1/8))
(+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow x 5)) 1/8) (+ (* 1/128 (pow (+ y (* 2 y)) 2)) (* 1/16 (+ (* -1 (pow (+ y (* 2 y)) 2)) (* 2 (+ (* 2 (pow y 2)) (pow y 2)))))))) (* 1/8 (* (pow (* -1 (pow x 3)) 1/8) (+ y (* 2 y))))) x)) (pow (* -1 (pow x 3)) 1/8))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow x 5)) 1/8) (+ (* 1/3072 (pow (+ y (* 2 y)) 3)) (+ (* 1/128 (* (+ y (* 2 y)) (+ (* -1 (pow (+ y (* 2 y)) 2)) (* 2 (+ (* 2 (pow y 2)) (pow y 2)))))) (* 1/48 (+ (* -6 (* (+ y (* 2 y)) (+ (* 2 (pow y 2)) (pow y 2)))) (+ (* 2 (pow (+ y (* 2 y)) 3)) (* 6 (pow y 3))))))))) (* (pow (* -1 (pow x 3)) 1/8) (+ (* 1/128 (pow (+ y (* 2 y)) 2)) (* 1/16 (+ (* -1 (pow (+ y (* 2 y)) 2)) (* 2 (+ (* 2 (pow y 2)) (pow y 2)))))))) x)) (* 1/8 (* (pow (* -1 (pow x 3)) 1/8) (+ y (* 2 y))))) x)) (pow (* -1 (pow x 3)) 1/8))
(* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (+ y (* 2 y))))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (+ (* 2 (pow y 2)) (pow y 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (+ y (* 2 y))))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (* (sqrt -1) (- (pow y 3) (* -1/4 (* x (pow (+ y (* 2 y)) 2))))))) (* 1/2 (* (sqrt x) (* (sqrt -1) (+ (* 2 (pow y 2)) (pow y 2)))))) (pow x 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (+ y (* 2 y))))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(pow (* -1 x) 1/8)
(+ (* -1/8 (* (pow (/ -1 (pow x 7)) 1/8) y)) (pow (* -1 x) 1/8))
(+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow x 7)) 1/8) (+ (* -1/16 (pow y 2)) (* 1/128 (pow y 2))))) (* 1/8 (* (pow (* -1 x) 1/8) y))) x)) (pow (* -1 x) 1/8))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow x 7)) 1/8) (+ (* -1/128 (pow y 3)) (+ (* 1/3072 (pow y 3)) (* 1/24 (pow y 3)))))) (* (pow (* -1 x) 1/8) (+ (* -1/16 (pow y 2)) (* 1/128 (pow y 2))))) x)) (* 1/8 (* (pow (* -1 x) 1/8) y))) x)) (pow (* -1 x) 1/8))
(+ (* 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)
(+ (* -1/8 (* (pow (/ -1 (pow x 21)) 1/8) (* y (+ (* 2 (pow x 2)) (pow x 2))))) (pow (* -1 (pow x 3)) 1/8))
(+ (* y (+ (* -1/8 (* (pow (/ -1 (pow x 21)) 1/8) (+ (* 2 (pow x 2)) (pow x 2)))) (* (pow (* -1 (pow x 3)) 1/8) (* y (+ (* 1/128 (/ (pow (+ (* 2 (pow x 2)) (pow x 2)) 2) (pow x 6))) (* 1/16 (+ (* -2 (/ (+ (* -2 x) (* -1 x)) (pow x 3))) (* -1 (/ (pow (+ (* 2 (pow x 2)) (pow x 2)) 2) (pow x 6)))))))))) (pow (* -1 (pow x 3)) 1/8))
(+ (* y (+ (* -1/8 (* (pow (/ -1 (pow x 21)) 1/8) (+ (* 2 (pow x 2)) (pow x 2)))) (* y (+ (* (pow (* -1 (pow x 3)) 1/8) (* y (+ (* -1/128 (/ (* (+ (* -2 (/ (+ (* -2 x) (* -1 x)) (pow x 3))) (* -1 (/ (pow (+ (* 2 (pow x 2)) (pow x 2)) 2) (pow x 6)))) (+ (* 2 (pow x 2)) (pow x 2))) (pow x 3))) (+ (* -1/3072 (/ (pow (+ (* 2 (pow x 2)) (pow x 2)) 3) (pow x 9))) (* 1/48 (- (+ (* -6 (/ (* (+ (* -2 x) (* -1 x)) (+ (* 2 (pow x 2)) (pow x 2))) (pow x 6))) (* -2 (/ (pow (+ (* 2 (pow x 2)) (pow x 2)) 3) (pow x 9)))) (* 6 (/ 1 (pow x 3))))))))) (* (pow (* -1 (pow x 3)) 1/8) (+ (* 1/128 (/ (pow (+ (* 2 (pow x 2)) (pow x 2)) 2) (pow x 6))) (* 1/16 (+ (* -2 (/ (+ (* -2 x) (* -1 x)) (pow x 3))) (* -1 (/ (pow (+ (* 2 (pow x 2)) (pow x 2)) 2) (pow x 6))))))))))) (pow (* -1 (pow x 3)) 1/8))
(+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* y (+ (* 2 (pow x 2)) (pow x 2))) (sqrt -1)))) (* (sqrt (pow x 3)) (sqrt -1)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* y (- (+ (* -2 x) (* -1 x)) (* 1/4 (/ (pow (+ (* 2 (pow x 2)) (pow x 2)) 2) (* (pow x 3) (pow (sqrt -1) 2)))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))))) (* (sqrt (pow x 3)) (sqrt -1)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (* y (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* y (- 1 (* 1/2 (/ (* (+ (* 2 (pow x 2)) (pow x 2)) (- (+ (* -2 x) (* -1 x)) (* 1/4 (/ (pow (+ (* 2 (pow x 2)) (pow x 2)) 2) (* (pow x 3) (pow (sqrt -1) 2)))))) (* (pow x 3) (pow (sqrt -1) 2)))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (- (+ (* -2 x) (* -1 x)) (* 1/4 (/ (pow (+ (* 2 (pow x 2)) (pow x 2)) 2) (* (pow x 3) (pow (sqrt -1) 2))))) (sqrt -1)))))))) (* (sqrt (pow x 3)) (sqrt -1)))
(+ (* y (+ (* -1/8 (pow (/ -1 (pow x 7)) 1/8)) (* -7/128 (* (pow (/ -1 (pow x 15)) 1/8) y)))) (pow (* -1 x) 1/8))
(+ (* y (+ (* -1/8 (pow (/ -1 (pow x 7)) 1/8)) (* y (+ (* -7/128 (pow (/ -1 (pow x 15)) 1/8)) (* -35/1024 (* (pow (/ -1 (pow x 23)) 1/8) y)))))) (pow (* -1 x) 1/8))
(* 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))))
(+ (* 1/8 (* (pow (/ 1 (pow y 5)) 1/8) (+ (* -2 x) (* -1 x)))) (pow (* 1 (pow y 3)) 1/8))
(+ (* 1/8 (* (pow (/ 1 (pow y 5)) 1/8) (+ (* -2 x) (* -1 x)))) (+ (* (pow (/ 1 (pow y 13)) 1/8) (+ (* 1/128 (pow (+ (* -2 x) (* -1 x)) 2)) (* 1/16 (+ (* -1 (pow (+ (* -2 x) (* -1 x)) 2)) (* 2 (+ (* 2 (pow x 2)) (pow x 2))))))) (pow (* 1 (pow y 3)) 1/8)))
(+ (* 1/8 (* (pow (/ 1 (pow y 5)) 1/8) (+ (* -2 x) (* -1 x)))) (+ (* (pow (/ 1 (pow y 13)) 1/8) (+ (* 1/128 (pow (+ (* -2 x) (* -1 x)) 2)) (* 1/16 (+ (* -1 (pow (+ (* -2 x) (* -1 x)) 2)) (* 2 (+ (* 2 (pow x 2)) (pow x 2))))))) (+ (* (pow (/ 1 (pow y 21)) 1/8) (+ (* 1/3072 (pow (+ (* -2 x) (* -1 x)) 3)) (+ (* 1/128 (* (+ (* -2 x) (* -1 x)) (+ (* -1 (pow (+ (* -2 x) (* -1 x)) 2)) (* 2 (+ (* 2 (pow x 2)) (pow x 2)))))) (* 1/48 (+ (* -6 (* (+ (* -2 x) (* -1 x)) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* -6 (pow x 3)) (* 2 (pow (+ (* -2 x) (* -1 x)) 3)))))))) (pow (* 1 (pow y 3)) 1/8))))
(* (pow y 2) (+ (sqrt (/ 1 y)) (* 1/2 (* (sqrt (/ 1 (pow y 3))) (+ (* -2 x) (* -1 x))))))
(* (pow y 2) (+ (sqrt (/ 1 y)) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (+ (* -2 x) (* -1 x)))) (* 1/2 (* (sqrt (/ 1 (pow y 5))) (+ (* 2 (pow x 2)) (pow x 2)))))))
(* (pow y 2) (+ (sqrt (/ 1 y)) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (+ (* -2 x) (* -1 x)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 5))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/2 (* (sqrt (/ 1 (pow y 7))) (- (* -1 (pow x 3)) (* 1/4 (* y (pow (+ (* -2 x) (* -1 x)) 2))))))))))
(+ (* -1/8 (* (pow (/ 1 (pow y 7)) 1/8) x)) (+ (* (pow (/ 1 (pow y 15)) 1/8) (+ (* -1/16 (pow x 2)) (* 1/128 (pow x 2)))) (pow (* 1 y) 1/8)))
(+ (* -1/8 (* (pow (/ 1 (pow y 7)) 1/8) x)) (+ (* (pow (/ 1 (pow y 15)) 1/8) (+ (* -1/16 (pow x 2)) (* 1/128 (pow x 2)))) (+ (* (pow (/ 1 (pow y 23)) 1/8) (+ (* -1/24 (pow x 3)) (+ (* -1/3072 (pow x 3)) (* 1/128 (pow x 3))))) (pow (* 1 y) 1/8))))
(* -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 (* (pow -1 1/8) (* (pow (* 1 (pow (sqrt -1) 5)) 1/4) (sqrt y))))
(* -1 (* y (+ (* 1/2 (* (pow -1 1/8) (* (pow (* 1 (pow (sqrt -1) 5)) 1/4) (* x (sqrt (/ 1 (pow y 3))))))) (* (pow -1 1/8) (* (pow (* 1 (pow (sqrt -1) 5)) 1/4) (sqrt (/ 1 y)))))))
(* -1 (* y (+ (* -1/8 (* (pow -1 1/8) (* (pow (* 1 (pow (sqrt -1) 5)) 1/4) (* (pow x 2) (sqrt (/ 1 (pow y 5))))))) (+ (* 1/2 (* (pow -1 1/8) (* (pow (* 1 (pow (sqrt -1) 5)) 1/4) (* x (sqrt (/ 1 (pow y 3))))))) (* (pow -1 1/8) (* (pow (* 1 (pow (sqrt -1) 5)) 1/4) (sqrt (/ 1 y))))))))
(* -1 (* y (+ (* -1/8 (* (pow -1 1/8) (* (pow (* 1 (pow (sqrt -1) 5)) 1/4) (* (pow x 2) (sqrt (/ 1 (pow y 5))))))) (+ (* 1/16 (* (pow -1 1/8) (* (pow (* 1 (pow (sqrt -1) 5)) 1/4) (* (pow x 3) (sqrt (/ 1 (pow y 7))))))) (+ (* 1/2 (* (pow -1 1/8) (* (pow (* 1 (pow (sqrt -1) 5)) 1/4) (* x (sqrt (/ 1 (pow y 3))))))) (* (pow -1 1/8) (* (pow (* 1 (pow (sqrt -1) 5)) 1/4) (sqrt (/ 1 y)))))))))
(* (pow (* -1 (pow y 3)) 1/8) (pow (* 1 (sqrt -1)) 1/4))
(+ (* -1/8 (* (pow (/ -1 (pow y 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (+ x (* 2 x))))) (* (pow (* -1 (pow y 3)) 1/8) (pow (* 1 (sqrt -1)) 1/4)))
(+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow y 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (+ (* 1/128 (pow (+ x (* 2 x)) 2)) (* 1/16 (+ (* -1 (pow (+ x (* 2 x)) 2)) (* 2 (+ (* 2 (pow x 2)) (pow x 2))))))))) (* 1/8 (* (pow (* -1 (pow y 3)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (+ x (* 2 x)))))) y)) (* (pow (* -1 (pow y 3)) 1/8) (pow (* 1 (sqrt -1)) 1/4)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow y 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (+ (* 1/3072 (pow (+ x (* 2 x)) 3)) (+ (* 1/128 (* (+ x (* 2 x)) (+ (* -1 (pow (+ x (* 2 x)) 2)) (* 2 (+ (* 2 (pow x 2)) (pow x 2)))))) (* 1/48 (+ (* -6 (* (+ x (* 2 x)) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* 2 (pow (+ x (* 2 x)) 3)) (* 6 (pow x 3)))))))))) (* (pow (* -1 (pow y 3)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (+ (* 1/128 (pow (+ x (* 2 x)) 2)) (* 1/16 (+ (* -1 (pow (+ x (* 2 x)) 2)) (* 2 (+ (* 2 (pow x 2)) (pow x 2))))))))) y)) (* 1/8 (* (pow (* -1 (pow y 3)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (+ x (* 2 x)))))) y)) (* (pow (* -1 (pow y 3)) 1/8) (pow (* 1 (sqrt -1)) 1/4)))
(* (sqrt (pow y 3)) (pow (sqrt -1) 2))
(* (pow y 2) (+ (* -1/2 (* (sqrt (/ 1 (pow y 3))) (+ x (* 2 x)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))
(* (pow y 2) (+ (* -1/2 (* (sqrt (/ 1 (pow y 3))) (+ x (* 2 x)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 5))) (+ (* 2 (pow x 2)) (pow x 2)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt y) (+ (* 2 (pow x 2)) (pow x 2)))) (* -1/2 (* (sqrt (/ 1 y)) (- (* -1 (pow x 3)) (* -1/4 (/ (* y (pow (+ x (* 2 x)) 2)) (pow (sqrt -1) 2))))))) (pow y 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow y 3))) (+ x (* 2 x)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 y))))))
(+ (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1/8 (/ (* x (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 y))))))) y)))
(+ (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 y)))))) (+ (* -1/16 (pow x 2)) (* 1/128 (pow x 2)))) y)) (* 1/8 (* x (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 y))))))))) y)))
(+ (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 y)))))) (+ (* -1/128 (pow x 3)) (+ (* 1/3072 (pow x 3)) (* 1/24 (pow x 3))))) y)) (* (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 y)))))) (+ (* -1/16 (pow x 2)) (* 1/128 (pow x 2))))) y)) (* 1/8 (* x (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 y))))))))) y)))

Calls

6 calls:

Time	Variable		Point	Expression
98.0ms	x	@	0	((sqrt (- y x)) (- y x) (* (pow (pow (- y x) 3/2) 1/4) (pow (- y x) 1/8)) (pow (pow (- y x) 3/2) 1/4) (pow (- y x) 3/2) (pow (- y x) 1/8))
52.0ms	x	@	-inf	((sqrt (- y x)) (- y x) (* (pow (pow (- y x) 3/2) 1/4) (pow (- y x) 1/8)) (pow (pow (- y x) 3/2) 1/4) (pow (- y x) 3/2) (pow (- y x) 1/8))
21.0ms	y	@	inf	((sqrt (- y x)) (- y x) (* (pow (pow (- y x) 3/2) 1/4) (pow (- y x) 1/8)) (pow (pow (- y x) 3/2) 1/4) (pow (- y x) 3/2) (pow (- y x) 1/8))
15.0ms	x	@	inf	((sqrt (- y x)) (- y x) (* (pow (pow (- y x) 3/2) 1/4) (pow (- y x) 1/8)) (pow (pow (- y x) 3/2) 1/4) (pow (- y x) 3/2) (pow (- y x) 1/8))
15.0ms	y	@	0	((sqrt (- y x)) (- y x) (* (pow (pow (- y x) 3/2) 1/4) (pow (- y x) 1/8)) (pow (pow (- y x) 3/2) 1/4) (pow (- y x) 3/2) (pow (- y x) 1/8))

simplify309.0ms (7.1%)

Memory

8.6MiB live, 247.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	795	3870
1	2937	3642
0	8366	3462

Stop Event

1×	iter limit
1×	node limit

Counts

97 → 96

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))
(pow (* 1 (pow y 3)) 1/8)
(+ (* -3/8 (* (pow (/ 1 (pow y 5)) 1/8) x)) (pow (* 1 (pow y 3)) 1/8))
(+ (* x (+ (* -3/8 (pow (/ 1 (pow y 5)) 1/8)) (* (pow (* 1 (pow y 3)) 1/8) (* x (+ (* 1/16 (+ (* -1 (/ (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2) (pow y 6))) (* 2 (/ (+ y (* 2 y)) (pow y 3))))) (* 9/128 (/ 1 (pow y 2)))))))) (pow (* 1 (pow y 3)) 1/8))
(+ (* x (+ (* -3/8 (pow (/ 1 (pow y 5)) 1/8)) (* x (+ (* (pow (* 1 (pow y 3)) 1/8) (* x (- (+ (* -3/128 (/ (+ (* -1 (/ (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2) (pow y 6))) (* 2 (/ (+ y (* 2 y)) (pow y 3)))) y)) (* 1/48 (- (+ (* -6 (/ (* (+ y (* 2 y)) (+ (* -2 (pow y 2)) (* -1 (pow y 2)))) (pow y 6))) (* 2 (/ (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 3) (pow y 9)))) (* 6 (/ 1 (pow y 3)))))) (* 9/1024 (/ 1 (pow y 3)))))) (* (pow (* 1 (pow y 3)) 1/8) (+ (* 1/16 (+ (* -1 (/ (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2) (pow y 6))) (* 2 (/ (+ y (* 2 y)) (pow y 3))))) (* 9/128 (/ 1 (pow y 2))))))))) (pow (* 1 (pow y 3)) 1/8))
(sqrt (pow y 3))
(+ (sqrt (pow y 3)) (* 1/2 (* (* x (+ (* -2 (pow y 2)) (* -1 (pow y 2)))) (sqrt (/ 1 (pow y 3))))))
(+ (sqrt (pow y 3)) (* x (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (+ (* -2 (pow y 2)) (* -1 (pow y 2))))) (* 1/2 (* (* x (- (+ y (* 2 y)) (* 1/4 (/ (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2) (pow y 3))))) (sqrt (/ 1 (pow y 3))))))))
(+ (sqrt (pow y 3)) (* x (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (+ (* -2 (pow y 2)) (* -1 (pow y 2))))) (* x (+ (* -1/2 (* (* x (+ 1 (* 1/2 (/ (* (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (- (+ y (* 2 y)) (* 1/4 (/ (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2) (pow y 3))))) (pow y 3))))) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (sqrt (/ 1 (pow y 3))) (- (+ y (* 2 y)) (* 1/4 (/ (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2) (pow y 3)))))))))))
(pow (* 1 y) 1/8)
(+ (* -1/8 (* (pow (/ 1 (pow y 7)) 1/8) x)) (pow (* 1 y) 1/8))
(+ (* x (+ (* -1/8 (pow (/ 1 (pow y 7)) 1/8)) (* -7/128 (* (pow (/ 1 (pow y 15)) 1/8) x)))) (pow (* 1 y) 1/8))
(+ (* x (+ (* -1/8 (pow (/ 1 (pow y 7)) 1/8)) (* x (+ (* -7/128 (pow (/ 1 (pow y 15)) 1/8)) (* -35/1024 (* (pow (/ 1 (pow y 23)) 1/8) x)))))) (pow (* 1 y) 1/8))
(* (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))
(exp (* 1/8 (+ (log -1) (* -3 (log (/ 1 x))))))
(+ (exp (* 1/8 (+ (log -1) (* -3 (log (/ 1 x)))))) (* -1/8 (/ (* (exp (* 1/8 (+ (log -1) (* -3 (log (/ 1 x)))))) (+ y (* 2 y))) x)))
(+ (exp (* 1/8 (+ (log -1) (* -3 (log (/ 1 x)))))) (+ (* -1/8 (/ (* (exp (* 1/8 (+ (log -1) (* -3 (log (/ 1 x)))))) (+ y (* 2 y))) x)) (/ (* (exp (* 1/8 (+ (log -1) (* -3 (log (/ 1 x)))))) (+ (* 1/128 (pow (+ y (* 2 y)) 2)) (* 1/16 (+ (* -2 (+ (* -2 (pow y 2)) (* -1 (pow y 2)))) (* -1 (pow (+ y (* 2 y)) 2)))))) (pow x 2))))
(+ (exp (* 1/8 (+ (log -1) (* -3 (log (/ 1 x)))))) (+ (* -1/8 (/ (* (exp (* 1/8 (+ (log -1) (* -3 (log (/ 1 x)))))) (+ y (* 2 y))) x)) (+ (/ (* (exp (* 1/8 (+ (log -1) (* -3 (log (/ 1 x)))))) (+ (* -1/128 (* (+ y (* 2 y)) (+ (* -2 (+ (* -2 (pow y 2)) (* -1 (pow y 2)))) (* -1 (pow (+ y (* 2 y)) 2))))) (+ (* -1/3072 (pow (+ y (* 2 y)) 3)) (* 1/48 (+ (* -6 (* (+ y (* 2 y)) (+ (* -2 (pow y 2)) (* -1 (pow y 2))))) (+ (* -6 (pow y 3)) (* -2 (pow (+ y (* 2 y)) 3)))))))) (pow x 3)) (/ (* (exp (* 1/8 (+ (log -1) (* -3 (log (/ 1 x)))))) (+ (* 1/128 (pow (+ y (* 2 y)) 2)) (* 1/16 (+ (* -2 (+ (* -2 (pow y 2)) (* -1 (pow y 2)))) (* -1 (pow (+ y (* 2 y)) 2)))))) (pow x 2)))))
(* (sqrt (pow x 3)) (sqrt -1))
(* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ y (* 2 y)) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ y (* 2 y)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ y (* 2 y)) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (/ (- (pow y 3) (* 1/4 (/ (* x (pow (+ y (* 2 y)) 2)) (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
(exp (* 1/8 (+ (log -1) (* -1 (log (/ 1 x))))))
(+ (exp (* 1/8 (+ (log -1) (* -1 (log (/ 1 x)))))) (* -1/8 (/ (* y (exp (* 1/8 (+ (log -1) (* -1 (log (/ 1 x))))))) x)))
(+ (exp (* 1/8 (+ (log -1) (* -1 (log (/ 1 x)))))) (+ (* -1/8 (/ (* y (exp (* 1/8 (+ (log -1) (* -1 (log (/ 1 x))))))) x)) (/ (* (exp (* 1/8 (+ (log -1) (* -1 (log (/ 1 x)))))) (+ (* -1/16 (pow y 2)) (* 1/128 (pow y 2)))) (pow x 2))))
(+ (exp (* 1/8 (+ (log -1) (* -1 (log (/ 1 x)))))) (+ (* -1/8 (/ (* y (exp (* 1/8 (+ (log -1) (* -1 (log (/ 1 x))))))) x)) (+ (/ (* (exp (* 1/8 (+ (log -1) (* -1 (log (/ 1 x)))))) (+ (* -1/16 (pow y 2)) (* 1/128 (pow y 2)))) (pow x 2)) (/ (* (exp (* 1/8 (+ (log -1) (* -1 (log (/ 1 x)))))) (+ (* -1/24 (pow y 3)) (+ (* -1/3072 (pow y 3)) (* 1/128 (pow y 3))))) (pow x 3)))))
(* -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)))))
(pow (* -1 (pow x 3)) 1/8)
(+ (* -1/8 (* (pow (/ -1 (pow x 5)) 1/8) (+ y (* 2 y)))) (pow (* -1 (pow x 3)) 1/8))
(+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow x 5)) 1/8) (+ (* 1/128 (pow (+ y (* 2 y)) 2)) (* 1/16 (+ (* -1 (pow (+ y (* 2 y)) 2)) (* 2 (+ (* 2 (pow y 2)) (pow y 2)))))))) (* 1/8 (* (pow (* -1 (pow x 3)) 1/8) (+ y (* 2 y))))) x)) (pow (* -1 (pow x 3)) 1/8))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow x 5)) 1/8) (+ (* 1/3072 (pow (+ y (* 2 y)) 3)) (+ (* 1/128 (* (+ y (* 2 y)) (+ (* -1 (pow (+ y (* 2 y)) 2)) (* 2 (+ (* 2 (pow y 2)) (pow y 2)))))) (* 1/48 (+ (* -6 (* (+ y (* 2 y)) (+ (* 2 (pow y 2)) (pow y 2)))) (+ (* 2 (pow (+ y (* 2 y)) 3)) (* 6 (pow y 3))))))))) (* (pow (* -1 (pow x 3)) 1/8) (+ (* 1/128 (pow (+ y (* 2 y)) 2)) (* 1/16 (+ (* -1 (pow (+ y (* 2 y)) 2)) (* 2 (+ (* 2 (pow y 2)) (pow y 2)))))))) x)) (* 1/8 (* (pow (* -1 (pow x 3)) 1/8) (+ y (* 2 y))))) x)) (pow (* -1 (pow x 3)) 1/8))
(* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (+ y (* 2 y))))) (* (sqrt (/ 1 x)) (sqrt -1))))
(* (pow x 2) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (* (sqrt -1) (+ (* 2 (pow y 2)) (pow y 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (+ y (* 2 y))))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (* (sqrt -1) (- (pow y 3) (* -1/4 (* x (pow (+ y (* 2 y)) 2))))))) (* 1/2 (* (sqrt x) (* (sqrt -1) (+ (* 2 (pow y 2)) (pow y 2)))))) (pow x 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* (sqrt -1) (+ y (* 2 y))))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(pow (* -1 x) 1/8)
(+ (* -1/8 (* (pow (/ -1 (pow x 7)) 1/8) y)) (pow (* -1 x) 1/8))
(+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow x 7)) 1/8) (+ (* -1/16 (pow y 2)) (* 1/128 (pow y 2))))) (* 1/8 (* (pow (* -1 x) 1/8) y))) x)) (pow (* -1 x) 1/8))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow x 7)) 1/8) (+ (* -1/128 (pow y 3)) (+ (* 1/3072 (pow y 3)) (* 1/24 (pow y 3)))))) (* (pow (* -1 x) 1/8) (+ (* -1/16 (pow y 2)) (* 1/128 (pow y 2))))) x)) (* 1/8 (* (pow (* -1 x) 1/8) y))) x)) (pow (* -1 x) 1/8))
(+ (* 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)
(+ (* -1/8 (* (pow (/ -1 (pow x 21)) 1/8) (* y (+ (* 2 (pow x 2)) (pow x 2))))) (pow (* -1 (pow x 3)) 1/8))
(+ (* y (+ (* -1/8 (* (pow (/ -1 (pow x 21)) 1/8) (+ (* 2 (pow x 2)) (pow x 2)))) (* (pow (* -1 (pow x 3)) 1/8) (* y (+ (* 1/128 (/ (pow (+ (* 2 (pow x 2)) (pow x 2)) 2) (pow x 6))) (* 1/16 (+ (* -2 (/ (+ (* -2 x) (* -1 x)) (pow x 3))) (* -1 (/ (pow (+ (* 2 (pow x 2)) (pow x 2)) 2) (pow x 6)))))))))) (pow (* -1 (pow x 3)) 1/8))
(+ (* y (+ (* -1/8 (* (pow (/ -1 (pow x 21)) 1/8) (+ (* 2 (pow x 2)) (pow x 2)))) (* y (+ (* (pow (* -1 (pow x 3)) 1/8) (* y (+ (* -1/128 (/ (* (+ (* -2 (/ (+ (* -2 x) (* -1 x)) (pow x 3))) (* -1 (/ (pow (+ (* 2 (pow x 2)) (pow x 2)) 2) (pow x 6)))) (+ (* 2 (pow x 2)) (pow x 2))) (pow x 3))) (+ (* -1/3072 (/ (pow (+ (* 2 (pow x 2)) (pow x 2)) 3) (pow x 9))) (* 1/48 (- (+ (* -6 (/ (* (+ (* -2 x) (* -1 x)) (+ (* 2 (pow x 2)) (pow x 2))) (pow x 6))) (* -2 (/ (pow (+ (* 2 (pow x 2)) (pow x 2)) 3) (pow x 9)))) (* 6 (/ 1 (pow x 3))))))))) (* (pow (* -1 (pow x 3)) 1/8) (+ (* 1/128 (/ (pow (+ (* 2 (pow x 2)) (pow x 2)) 2) (pow x 6))) (* 1/16 (+ (* -2 (/ (+ (* -2 x) (* -1 x)) (pow x 3))) (* -1 (/ (pow (+ (* 2 (pow x 2)) (pow x 2)) 2) (pow x 6))))))))))) (pow (* -1 (pow x 3)) 1/8))
(+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* y (+ (* 2 (pow x 2)) (pow x 2))) (sqrt -1)))) (* (sqrt (pow x 3)) (sqrt -1)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* y (- (+ (* -2 x) (* -1 x)) (* 1/4 (/ (pow (+ (* 2 (pow x 2)) (pow x 2)) 2) (* (pow x 3) (pow (sqrt -1) 2)))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))))) (* (sqrt (pow x 3)) (sqrt -1)))
(+ (* y (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (+ (* 2 (pow x 2)) (pow x 2)) (sqrt -1)))) (* y (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (* y (- 1 (* 1/2 (/ (* (+ (* 2 (pow x 2)) (pow x 2)) (- (+ (* -2 x) (* -1 x)) (* 1/4 (/ (pow (+ (* 2 (pow x 2)) (pow x 2)) 2) (* (pow x 3) (pow (sqrt -1) 2)))))) (* (pow x 3) (pow (sqrt -1) 2)))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ (- (+ (* -2 x) (* -1 x)) (* 1/4 (/ (pow (+ (* 2 (pow x 2)) (pow x 2)) 2) (* (pow x 3) (pow (sqrt -1) 2))))) (sqrt -1)))))))) (* (sqrt (pow x 3)) (sqrt -1)))
(+ (* y (+ (* -1/8 (pow (/ -1 (pow x 7)) 1/8)) (* -7/128 (* (pow (/ -1 (pow x 15)) 1/8) y)))) (pow (* -1 x) 1/8))
(+ (* y (+ (* -1/8 (pow (/ -1 (pow x 7)) 1/8)) (* y (+ (* -7/128 (pow (/ -1 (pow x 15)) 1/8)) (* -35/1024 (* (pow (/ -1 (pow x 23)) 1/8) y)))))) (pow (* -1 x) 1/8))
(* 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))))
(+ (* 1/8 (* (pow (/ 1 (pow y 5)) 1/8) (+ (* -2 x) (* -1 x)))) (pow (* 1 (pow y 3)) 1/8))
(+ (* 1/8 (* (pow (/ 1 (pow y 5)) 1/8) (+ (* -2 x) (* -1 x)))) (+ (* (pow (/ 1 (pow y 13)) 1/8) (+ (* 1/128 (pow (+ (* -2 x) (* -1 x)) 2)) (* 1/16 (+ (* -1 (pow (+ (* -2 x) (* -1 x)) 2)) (* 2 (+ (* 2 (pow x 2)) (pow x 2))))))) (pow (* 1 (pow y 3)) 1/8)))
(+ (* 1/8 (* (pow (/ 1 (pow y 5)) 1/8) (+ (* -2 x) (* -1 x)))) (+ (* (pow (/ 1 (pow y 13)) 1/8) (+ (* 1/128 (pow (+ (* -2 x) (* -1 x)) 2)) (* 1/16 (+ (* -1 (pow (+ (* -2 x) (* -1 x)) 2)) (* 2 (+ (* 2 (pow x 2)) (pow x 2))))))) (+ (* (pow (/ 1 (pow y 21)) 1/8) (+ (* 1/3072 (pow (+ (* -2 x) (* -1 x)) 3)) (+ (* 1/128 (* (+ (* -2 x) (* -1 x)) (+ (* -1 (pow (+ (* -2 x) (* -1 x)) 2)) (* 2 (+ (* 2 (pow x 2)) (pow x 2)))))) (* 1/48 (+ (* -6 (* (+ (* -2 x) (* -1 x)) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* -6 (pow x 3)) (* 2 (pow (+ (* -2 x) (* -1 x)) 3)))))))) (pow (* 1 (pow y 3)) 1/8))))
(* (pow y 2) (+ (sqrt (/ 1 y)) (* 1/2 (* (sqrt (/ 1 (pow y 3))) (+ (* -2 x) (* -1 x))))))
(* (pow y 2) (+ (sqrt (/ 1 y)) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (+ (* -2 x) (* -1 x)))) (* 1/2 (* (sqrt (/ 1 (pow y 5))) (+ (* 2 (pow x 2)) (pow x 2)))))))
(* (pow y 2) (+ (sqrt (/ 1 y)) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (+ (* -2 x) (* -1 x)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 5))) (+ (* 2 (pow x 2)) (pow x 2)))) (* 1/2 (* (sqrt (/ 1 (pow y 7))) (- (* -1 (pow x 3)) (* 1/4 (* y (pow (+ (* -2 x) (* -1 x)) 2))))))))))
(+ (* -1/8 (* (pow (/ 1 (pow y 7)) 1/8) x)) (+ (* (pow (/ 1 (pow y 15)) 1/8) (+ (* -1/16 (pow x 2)) (* 1/128 (pow x 2)))) (pow (* 1 y) 1/8)))
(+ (* -1/8 (* (pow (/ 1 (pow y 7)) 1/8) x)) (+ (* (pow (/ 1 (pow y 15)) 1/8) (+ (* -1/16 (pow x 2)) (* 1/128 (pow x 2)))) (+ (* (pow (/ 1 (pow y 23)) 1/8) (+ (* -1/24 (pow x 3)) (+ (* -1/3072 (pow x 3)) (* 1/128 (pow x 3))))) (pow (* 1 y) 1/8))))
(* -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 (* (pow -1 1/8) (* (pow (* 1 (pow (sqrt -1) 5)) 1/4) (sqrt y))))
(* -1 (* y (+ (* 1/2 (* (pow -1 1/8) (* (pow (* 1 (pow (sqrt -1) 5)) 1/4) (* x (sqrt (/ 1 (pow y 3))))))) (* (pow -1 1/8) (* (pow (* 1 (pow (sqrt -1) 5)) 1/4) (sqrt (/ 1 y)))))))
(* -1 (* y (+ (* -1/8 (* (pow -1 1/8) (* (pow (* 1 (pow (sqrt -1) 5)) 1/4) (* (pow x 2) (sqrt (/ 1 (pow y 5))))))) (+ (* 1/2 (* (pow -1 1/8) (* (pow (* 1 (pow (sqrt -1) 5)) 1/4) (* x (sqrt (/ 1 (pow y 3))))))) (* (pow -1 1/8) (* (pow (* 1 (pow (sqrt -1) 5)) 1/4) (sqrt (/ 1 y))))))))
(* -1 (* y (+ (* -1/8 (* (pow -1 1/8) (* (pow (* 1 (pow (sqrt -1) 5)) 1/4) (* (pow x 2) (sqrt (/ 1 (pow y 5))))))) (+ (* 1/16 (* (pow -1 1/8) (* (pow (* 1 (pow (sqrt -1) 5)) 1/4) (* (pow x 3) (sqrt (/ 1 (pow y 7))))))) (+ (* 1/2 (* (pow -1 1/8) (* (pow (* 1 (pow (sqrt -1) 5)) 1/4) (* x (sqrt (/ 1 (pow y 3))))))) (* (pow -1 1/8) (* (pow (* 1 (pow (sqrt -1) 5)) 1/4) (sqrt (/ 1 y)))))))))
(* (pow (* -1 (pow y 3)) 1/8) (pow (* 1 (sqrt -1)) 1/4))
(+ (* -1/8 (* (pow (/ -1 (pow y 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (+ x (* 2 x))))) (* (pow (* -1 (pow y 3)) 1/8) (pow (* 1 (sqrt -1)) 1/4)))
(+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow y 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (+ (* 1/128 (pow (+ x (* 2 x)) 2)) (* 1/16 (+ (* -1 (pow (+ x (* 2 x)) 2)) (* 2 (+ (* 2 (pow x 2)) (pow x 2))))))))) (* 1/8 (* (pow (* -1 (pow y 3)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (+ x (* 2 x)))))) y)) (* (pow (* -1 (pow y 3)) 1/8) (pow (* 1 (sqrt -1)) 1/4)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow y 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (+ (* 1/3072 (pow (+ x (* 2 x)) 3)) (+ (* 1/128 (* (+ x (* 2 x)) (+ (* -1 (pow (+ x (* 2 x)) 2)) (* 2 (+ (* 2 (pow x 2)) (pow x 2)))))) (* 1/48 (+ (* -6 (* (+ x (* 2 x)) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* 2 (pow (+ x (* 2 x)) 3)) (* 6 (pow x 3)))))))))) (* (pow (* -1 (pow y 3)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (+ (* 1/128 (pow (+ x (* 2 x)) 2)) (* 1/16 (+ (* -1 (pow (+ x (* 2 x)) 2)) (* 2 (+ (* 2 (pow x 2)) (pow x 2))))))))) y)) (* 1/8 (* (pow (* -1 (pow y 3)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (+ x (* 2 x)))))) y)) (* (pow (* -1 (pow y 3)) 1/8) (pow (* 1 (sqrt -1)) 1/4)))
(* (sqrt (pow y 3)) (pow (sqrt -1) 2))
(* (pow y 2) (+ (* -1/2 (* (sqrt (/ 1 (pow y 3))) (+ x (* 2 x)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))
(* (pow y 2) (+ (* -1/2 (* (sqrt (/ 1 (pow y 3))) (+ x (* 2 x)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 5))) (+ (* 2 (pow x 2)) (pow x 2)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* (pow y 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt y) (+ (* 2 (pow x 2)) (pow x 2)))) (* -1/2 (* (sqrt (/ 1 y)) (- (* -1 (pow x 3)) (* -1/4 (/ (* y (pow (+ x (* 2 x)) 2)) (pow (sqrt -1) 2))))))) (pow y 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow y 3))) (+ x (* 2 x)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 y))))))
(+ (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1/8 (/ (* x (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 y))))))) y)))
(+ (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 y)))))) (+ (* -1/16 (pow x 2)) (* 1/128 (pow x 2)))) y)) (* 1/8 (* x (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 y))))))))) y)))
(+ (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 y)))))) (+ (* -1/128 (pow x 3)) (+ (* 1/3072 (pow x 3)) (* 1/24 (pow x 3))))) y)) (* (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 y)))))) (+ (* -1/16 (pow x 2)) (* 1/128 (pow x 2))))) y)) (* 1/8 (* x (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 y))))))))) 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)
(pow (* 1 (pow y 3)) 1/8)
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))
(+ (* -3/8 (* (pow (/ 1 (pow y 5)) 1/8) x)) (pow (* 1 (pow y 3)) 1/8))
(fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) #s(literal 1/8 binary64)) #s(literal -3/8 binary64)) x (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(+ (* x (+ (* -3/8 (pow (/ 1 (pow y 5)) 1/8)) (* (pow (* 1 (pow y 3)) 1/8) (* x (+ (* 1/16 (+ (* -1 (/ (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2) (pow y 6))) (* 2 (/ (+ y (* 2 y)) (pow y 3))))) (* 9/128 (/ 1 (pow y 2)))))))) (pow (* 1 (pow y 3)) 1/8))
(fma.f64 (fma.f64 (.f64 (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) x) (fma.f64 (fma.f64 (.f64 #s(literal 3 binary64) (/.f64 y (pow.f64 y #s(literal 3 binary64)))) #s(literal 2 binary64) (/.f64 (neg.f64 (pow.f64 (.f64 (.f64 y y) #s(literal -3 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 6 binary64)))) #s(literal 1/16 binary64) (/.f64 #s(literal 9/128 binary64) (.f64 y y))) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) #s(literal 1/8 binary64)) #s(literal -3/8 binary64))) x (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(+ (* x (+ (* -3/8 (pow (/ 1 (pow y 5)) 1/8)) (* x (+ (* (pow (* 1 (pow y 3)) 1/8) (* x (- (+ (* -3/128 (/ (+ (* -1 (/ (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2) (pow y 6))) (* 2 (/ (+ y (* 2 y)) (pow y 3)))) y)) (* 1/48 (- (+ (* -6 (/ (* (+ y (* 2 y)) (+ (* -2 (pow y 2)) (* -1 (pow y 2)))) (pow y 6))) (* 2 (/ (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 3) (pow y 9)))) (* 6 (/ 1 (pow y 3)))))) (* 9/1024 (/ 1 (pow y 3)))))) (* (pow (* 1 (pow y 3)) 1/8) (+ (* 1/16 (+ (* -1 (/ (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2) (pow y 6))) (* 2 (/ (+ y (* 2 y)) (pow y 3))))) (* 9/128 (/ 1 (pow y 2))))))))) (pow (* 1 (pow y 3)) 1/8))
(fma.f64 (fma.f64 (.f64 (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal 3 binary64) y) (.f64 (.f64 y y) #s(literal -3 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal -6 binary64) (-.f64 (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 (.f64 y y) #s(literal -3 binary64)) #s(literal 3 binary64))) (pow.f64 y #s(literal 9 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 y #s(literal 3 binary64))))) #s(literal 1/48 binary64) (.f64 (/.f64 (fma.f64 (.f64 #s(literal 3 binary64) (/.f64 y (pow.f64 y #s(literal 3 binary64)))) #s(literal 2 binary64) (/.f64 (neg.f64 (pow.f64 (.f64 (.f64 y y) #s(literal -3 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 6 binary64)))) y) #s(literal -3/128 binary64))) (/.f64 #s(literal 9/1024 binary64) (pow.f64 y #s(literal 3 binary64)))) x (fma.f64 (fma.f64 (.f64 #s(literal 3 binary64) (/.f64 y (pow.f64 y #s(literal 3 binary64)))) #s(literal 2 binary64) (/.f64 (neg.f64 (pow.f64 (.f64 (.f64 y y) #s(literal -3 binary64)) #s(literal 2 binary64))) (pow.f64 y #s(literal 6 binary64)))) #s(literal 1/16 binary64) (/.f64 #s(literal 9/128 binary64) (.f64 y y))))) x (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) #s(literal 1/8 binary64)) #s(literal -3/8 binary64))) x (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(sqrt (pow y 3))
(sqrt.f64 (pow.f64 y #s(literal 3 binary64)))
(+ (sqrt (pow y 3)) (* 1/2 (* (* x (+ (* -2 (pow y 2)) (* -1 (pow y 2)))) (sqrt (/ 1 (pow y 3))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 y y) #s(literal -3 binary64)) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 y #s(literal 3 binary64))))
(+ (sqrt (pow y 3)) (* x (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (+ (* -2 (pow y 2)) (* -1 (pow y 2))))) (* 1/2 (* (* x (- (+ y (* 2 y)) (* 1/4 (/ (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2) (pow y 3))))) (sqrt (/ 1 (pow y 3))))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (.f64 y y) #s(literal -3 binary64) (.f64 (fma.f64 #s(literal 3 binary64) y (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (.f64 (*.f64 y y) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))))) x)))) x (sqrt.f64 (pow.f64 y #s(literal 3 binary64))))
(+ (sqrt (pow y 3)) (* x (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (+ (* -2 (pow y 2)) (* -1 (pow y 2))))) (* x (+ (* -1/2 (* (* x (+ 1 (* 1/2 (/ (* (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (- (+ y (* 2 y)) (* 1/4 (/ (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2) (pow y 3))))) (pow y 3))))) (sqrt (/ 1 (pow y 3))))) (* 1/2 (* (sqrt (/ 1 (pow y 3))) (- (+ y (* 2 y)) (* 1/4 (/ (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2) (pow y 3)))))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) #s(literal -3 binary64)) (/.f64 (fma.f64 #s(literal 3 binary64) y (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (.f64 (.f64 y y) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 (fma.f64 #s(literal 3 binary64) y (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (.f64 (.f64 y y) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))) x (.f64 (.f64 (.f64 (*.f64 y y) #s(literal -3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) #s(literal 1/2 binary64))) x (sqrt.f64 (pow.f64 y #s(literal 3 binary64))))
(pow (* 1 y) 1/8)
(pow.f64 y #s(literal 1/8 binary64))
(+ (* -1/8 (* (pow (/ 1 (pow y 7)) 1/8) x)) (pow (* 1 y) 1/8))
(fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))) #s(literal 1/8 binary64)) x) #s(literal -1/8 binary64) (pow.f64 y #s(literal 1/8 binary64)))
(+ (* x (+ (* -1/8 (pow (/ 1 (pow y 7)) 1/8)) (* -7/128 (* (pow (/ 1 (pow y 15)) 1/8) x)))) (pow (* 1 y) 1/8))
(fma.f64 (fma.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 15 binary64))) #s(literal 1/8 binary64)) x) #s(literal -7/128 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))) #s(literal 1/8 binary64)) #s(literal -1/8 binary64))) x (pow.f64 y #s(literal 1/8 binary64)))
(+ (* x (+ (* -1/8 (pow (/ 1 (pow y 7)) 1/8)) (* x (+ (* -7/128 (pow (/ 1 (pow y 15)) 1/8)) (* -35/1024 (* (pow (/ 1 (pow y 23)) 1/8) x)))))) (pow (* 1 y) 1/8))
(fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 23 binary64))) #s(literal 1/8 binary64)) x) #s(literal -35/1024 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 15 binary64))) #s(literal 1/8 binary64)) #s(literal -7/128 binary64))) x (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))) #s(literal 1/8 binary64)) #s(literal -1/8 binary64))) x (pow.f64 y #s(literal 1/8 binary64)))
(* (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)) (.f64 (*.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/2 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 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 y (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 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/2 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 -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 y (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1/2 binary64))))) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(exp (* 1/8 (+ (log -1) (* -3 (log (/ 1 x))))))
(pow.f64 (exp.f64 #s(literal 1/8 binary64)) (fma.f64 (neg.f64 (log.f64 x)) #s(literal -3 binary64) (log.f64 #s(literal -1 binary64))))
(+ (exp (* 1/8 (+ (log -1) (* -3 (log (/ 1 x)))))) (* -1/8 (/ (* (exp (* 1/8 (+ (log -1) (* -3 (log (/ 1 x)))))) (+ y (* 2 y))) x)))
(fma.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (fma.f64 (neg.f64 (log.f64 x)) #s(literal -3 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 (.f64 #s(literal 3 binary64) y) x)) #s(literal -1/8 binary64) (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (fma.f64 (neg.f64 (log.f64 x)) #s(literal -3 binary64) (log.f64 #s(literal -1 binary64)))))
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(.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 #s(literal -1 binary64) #s(literal 1/8 binary64))) (.f64 (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)) (.f64 (.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) (pow.f64 #s(literal -1 binary64) #s(literal 1/8 binary64))) (.f64 (.f64 (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 (.f64 (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (pow.f64 #s(literal -1 binary64) #s(literal 1/8 binary64))))))
(* -1 (* y (+ (* -1/8 (* (pow -1 1/8) (* (pow (* 1 (pow (sqrt -1) 5)) 1/4) (* (pow x 2) (sqrt (/ 1 (pow y 5))))))) (+ (* 1/16 (* (pow -1 1/8) (* (pow (* 1 (pow (sqrt -1) 5)) 1/4) (* (pow x 3) (sqrt (/ 1 (pow y 7))))))) (+ (* 1/2 (* (pow -1 1/8) (* (pow (* 1 (pow (sqrt -1) 5)) 1/4) (* x (sqrt (/ 1 (pow y 3))))))) (* (pow -1 1/8) (* (pow (* 1 (pow (sqrt -1) 5)) 1/4) (sqrt (/ 1 y)))))))))
(.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 #s(literal -1 binary64) #s(literal 1/8 binary64))) (.f64 (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 #s(literal -1 binary64) #s(literal 1/8 binary64))) (.f64 (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal -1 binary64) #s(literal 1/8 binary64))) (.f64 (.f64 (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 (*.f64 (pow.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (pow.f64 #s(literal -1 binary64) #s(literal 1/8 binary64)))))))
(* (pow (* -1 (pow y 3)) 1/8) (pow (* 1 (sqrt -1)) 1/4))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(+ (* -1/8 (* (pow (/ -1 (pow y 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (+ x (* 2 x))))) (* (pow (* -1 (pow y 3)) 1/8) (pow (* 1 (sqrt -1)) 1/4)))
(fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 5 binary64))) #s(literal 1/8 binary64))) (.f64 (.f64 #s(literal 3 binary64) x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow y 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (+ (* 1/128 (pow (+ x (* 2 x)) 2)) (* 1/16 (+ (* -1 (pow (+ x (* 2 x)) 2)) (* 2 (+ (* 2 (pow x 2)) (pow x 2))))))))) (* 1/8 (* (pow (* -1 (pow y 3)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (+ x (* 2 x)))))) y)) (* (pow (* -1 (pow y 3)) 1/8) (pow (* 1 (sqrt -1)) 1/4)))
(fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 (fma.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 5 binary64))) #s(literal 1/8 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 6 binary64) (neg.f64 (.f64 #s(literal 9 binary64) (.f64 x x)))) #s(literal 1/16 binary64) (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal 1/128 binary64)))) (.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (.f64 (*.f64 #s(literal 3 binary64) x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))) (neg.f64 y)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow y 5)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (+ (* 1/3072 (pow (+ x (* 2 x)) 3)) (+ (* 1/128 (* (+ x (* 2 x)) (+ (* -1 (pow (+ x (* 2 x)) 2)) (* 2 (+ (* 2 (pow x 2)) (pow x 2)))))) (* 1/48 (+ (* -6 (* (+ x (* 2 x)) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* 2 (pow (+ x (* 2 x)) 3)) (* 6 (pow x 3)))))))))) (* (pow (* -1 (pow y 3)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (+ (* 1/128 (pow (+ x (* 2 x)) 2)) (* 1/16 (+ (* -1 (pow (+ x (* 2 x)) 2)) (* 2 (+ (* 2 (pow x 2)) (pow x 2))))))))) y)) (* 1/8 (* (pow (* -1 (pow y 3)) 1/8) (* (pow (* 1 (sqrt -1)) 1/4) (+ x (* 2 x)))))) y)) (* (pow (* -1 (pow y 3)) 1/8) (pow (* 1 (sqrt -1)) 1/4)))
(fma.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (.f64 (.f64 #s(literal 3 binary64) x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))) (/.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 5 binary64))) #s(literal 1/8 binary64))) (.f64 (fma.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3072 binary64) (fma.f64 (.f64 #s(literal 1/128 binary64) (.f64 #s(literal 3 binary64) x)) (fma.f64 (.f64 x x) #s(literal 6 binary64) (neg.f64 (.f64 #s(literal 9 binary64) (.f64 x x)))) (.f64 (fma.f64 (.f64 #s(literal -6 binary64) (.f64 #s(literal 3 binary64) x)) (.f64 #s(literal 3 binary64) (.f64 x x)) (fma.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64)))) #s(literal 1/48 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 6 binary64) (neg.f64 (.f64 #s(literal 9 binary64) (.f64 x x)))) #s(literal 1/16 binary64) (.f64 (.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 1/128 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 y))) (neg.f64 y)))
(* (sqrt (pow y 3)) (pow (sqrt -1) 2))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))
(* (pow y 2) (+ (* -1/2 (* (sqrt (/ 1 (pow y 3))) (+ x (* 2 x)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal 3 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) #s(literal -1/2 binary64) (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 y y))
(* (pow y 2) (+ (* -1/2 (* (sqrt (/ 1 (pow y 3))) (+ x (* 2 x)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 5))) (+ (* 2 (pow x 2)) (pow x 2)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal 3 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) #s(literal -1/2 binary64) (fma.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))) #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (.f64 y y))
(* (pow y 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt y) (+ (* 2 (pow x 2)) (pow x 2)))) (* -1/2 (* (sqrt (/ 1 y)) (- (* -1 (pow x 3)) (* -1/4 (/ (* y (pow (+ x (* 2 x)) 2)) (pow (sqrt -1) 2))))))) (pow y 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow y 3))) (+ x (* 2 x)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (.f64 #s(literal 9 binary64) (.f64 x x)) y) #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (sqrt.f64 y)))) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (.f64 (.f64 #s(literal 3 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) #s(literal -1/2 binary64) (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 y y))
(exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 y))))))
(pow.f64 (exp.f64 #s(literal 1/8 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(+ (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1/8 (/ (* x (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 y))))))) y)))
(fma.f64 (*.f64 x (/.f64 (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) y)) #s(literal -1/8 binary64) (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))))
(+ (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 y)))))) (+ (* -1/16 (pow x 2)) (* 1/128 (pow x 2)))) y)) (* 1/8 (* x (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 y))))))))) y)))
(-.f64 (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) x) (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (/.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (.f64 (.f64 x x) #s(literal -7/128 binary64))) (neg.f64 y))) y))
(+ (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 y)))))) (+ (* -1/128 (pow x 3)) (+ (* 1/3072 (pow x 3)) (* 1/24 (pow x 3))))) y)) (* (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 y)))))) (+ (* -1/16 (pow x 2)) (* 1/128 (pow x 2))))) y)) (* 1/8 (* x (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 y))))))))) y)))
(-.f64 (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) x) (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (/.f64 (fma.f64 (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))) (.f64 (.f64 x x) #s(literal -7/128 binary64)) (/.f64 (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 35/1024 binary64)) (pow.f64 (exp.f64 #s(literal 1/8 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))) (neg.f64 y))) (neg.f64 y))) y))

rewrite181.0ms (4.2%)

Memory

13.6MiB live, 135.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	37
0	17	26
1	56	26
2	263	26
3	2020	26
0	8656	26

Stop Event

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

Counts

6 → 507

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 y x))
(-.f64 y x)
(*.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)))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (-.f64 y x) #s(literal 3/2 binary64))
(pow.f64 (-.f64 y x) #s(literal 1/8 binary64))

Outputs
(.f64 (neg.f64 (.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/16 binary64))) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 3/16 binary64))))) (neg.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/16 binary64))) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 3/16 binary64))))))
(.f64 (neg.f64 (.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/16 binary64))) (pow.f64 (-.f64 y x) #s(literal 3/16 binary64)))) (neg.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/16 binary64))) (pow.f64 (-.f64 y x) #s(literal 3/16 binary64)))))
(.f64 (neg.f64 (.f64 (pow.f64 (-.f64 y x) #s(literal 1/16 binary64)) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 3/16 binary64))))) (neg.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 1/16 binary64)) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 3/16 binary64))))))
(.f64 (neg.f64 (.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 3/16 binary64))) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/16 binary64))))) (neg.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 3/16 binary64))) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/16 binary64))))))
(.f64 (neg.f64 (.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 3/16 binary64))) (pow.f64 (-.f64 y x) #s(literal 1/16 binary64)))) (neg.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 3/16 binary64))) (pow.f64 (-.f64 y x) #s(literal 1/16 binary64)))))
(.f64 (neg.f64 (.f64 (pow.f64 (-.f64 y x) #s(literal 3/16 binary64)) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/16 binary64))))) (neg.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 3/16 binary64)) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/16 binary64))))))
(*.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 x y) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 x y) x) #s(literal 2 binary64))))) (sqrt.f64 (-.f64 (.f64 y y) (.f64 (+.f64 x y) x))))
(.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 (.f64 (+.f64 x y) x) (-.f64 (.f64 (+.f64 x y) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (+.f64 x y) (-.f64 y x)))) (sqrt.f64 (-.f64 y x)))
(*.f64 (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (-.f64 x y)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 x y) x) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (.f64 y y) (.f64 (+.f64 x y) x))))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (.f64 (+.f64 x y) x) (-.f64 (.f64 (+.f64 x y) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 y x)))
(.f64 (pow.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 13/32 binary64)) (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 15/32 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/32 binary64)))
(.f64 (.f64 (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 3/16 binary64)))) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 3/16 binary64))))
(.f64 (.f64 (pow.f64 (-.f64 y x) #s(literal 3/8 binary64)) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/16 binary64)))) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/16 binary64))))
(.f64 (.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/16 binary64))) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 3/16 binary64)))) (*.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/16 binary64))) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 3/16 binary64)))))
(.f64 (.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/16 binary64))) (pow.f64 (-.f64 y x) #s(literal 3/16 binary64))) (*.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/16 binary64))) (pow.f64 (-.f64 y x) #s(literal 3/16 binary64))))
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(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)))) (sinh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/8 binary64))))))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal 1/8 binary64))))
(neg.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/16 binary64))) (pow.f64 (-.f64 y x) #s(literal 1/16 binary64))))
(neg.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 1/16 binary64)) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/16 binary64)))))
(sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)))) (/.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)))))
(fabs.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/8 binary64))))
(fabs.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/16 binary64))) (pow.f64 (-.f64 y x) #s(literal 1/16 binary64))))
(fabs.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 1/16 binary64)) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/16 binary64)))))
(fabs.f64 (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)))
(exp.f64 (fma.f64 (log.f64 (-.f64 y x)) #s(literal 1/32 binary64) (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64))) #s(literal 1/8 binary64))))
(exp.f64 (fma.f64 (log.f64 (-.f64 y x)) #s(literal 1/32 binary64) (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) #s(literal 1/16 binary64))))
(exp.f64 (fma.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/4 binary64))) #s(literal 1/8 binary64) (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/32 binary64))))
(exp.f64 (fma.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/2 binary64))) #s(literal 1/16 binary64) (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/32 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/8 binary64))) (log.f64 (-.f64 y x))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/16 binary64)))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/8 binary64))))
(+.f64 (sinh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)))) (cosh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)))) (sinh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)))))

eval199.0ms (4.6%)

Memory: -17.8MiB live, 138.9MiB allocated
Compiler: Compiled 21 037 to 2 490 computations (88.2% saved)

prune30.0ms (0.7%)

Memory

0.6MiB live, 39.9MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	658	3	661
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	659	4	663

Accuracy

100.0%

Counts

663 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(*.f64 (pow.f64 (-.f64 y x) #s(literal 13/32 binary64)) (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))
✓	100.0%	(sqrt.f64 (-.f64 y x))
▶	57.0%	(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
▶	44.2%	#s(approx (sqrt (- y x)) (sqrt.f64 y))

Compiler

Compiled 29 to 24 computations (17.2% saved)

simplify4.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(pow.f64 (-.f64 y x) #s(literal 3/32 binary64))
cost-diff	0	(-.f64 y x)
cost-diff	0	(pow.f64 (-.f64 y x) #s(literal 13/32 binary64))
cost-diff	0	(*.f64 (pow.f64 (-.f64 y x) #s(literal 13/32 binary64)) (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))
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: 0 (0.0ms)

Iter	Nodes	Cost
0	15	54
0	23	54
1	24	54
0	24	54

Stop Event

1×	iter limit
1×	saturated
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
(*.f64 (pow.f64 (-.f64 y x) #s(literal 13/32 binary64)) (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))
(pow.f64 (-.f64 y x) #s(literal 13/32 binary64))
(-.f64 y x)
y
x
#s(literal 13/32 binary64)
(pow.f64 (-.f64 y x) #s(literal 3/32 binary64))
#s(literal 3/32 binary64)

Outputs
#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
(*.f64 (pow.f64 (-.f64 y x) #s(literal 13/32 binary64)) (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)) (pow.f64 (-.f64 y x) #s(literal 13/32 binary64)))
(pow.f64 (-.f64 y x) #s(literal 13/32 binary64))
(-.f64 y x)
y
x
#s(literal 13/32 binary64)
(pow.f64 (-.f64 y x) #s(literal 3/32 binary64))
#s(literal 3/32 binary64)

localize75.0ms (1.7%)

Memory

5.7MiB live, 44.9MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 (-.f64 y x) #s(literal 3/32 binary64))
accuracy	0.0	(-.f64 y x)
accuracy	0.0078125	(pow.f64 (-.f64 y x) #s(literal 13/32 binary64))
accuracy	0.25228500976844204	(*.f64 (pow.f64 (-.f64 y x) #s(literal 13/32 binary64)) (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))
accuracy	0.0	(neg.f64 x)
accuracy	0.00390625	(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
accuracy	26.858735343596486	#s(approx (- y x) (neg.f64 x))
accuracy	0.0	(sqrt.f64 y)
accuracy	15.945237927355251	#s(approx (sqrt (- y x)) (sqrt.f64 y))

Samples

48.0ms	79×	0	invalid
19.0ms	177×	0	valid

Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-neg: 40.0ms (70.2% of total)

ival-pow: 10.0ms (17.5% of total)

ival-sqrt: 3.0ms (5.3% of total)

ival-sub: 2.0ms (3.5% of total)

ival-mult: 2.0ms (3.5% of total)

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

exact: 0.0ms (0% of total)

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

series263.0ms (6.1%)

Memory

-6.7MiB live, 187.5MiB allocated

Counts

9 → 78

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)
(*.f64 (pow.f64 (-.f64 y x) #s(literal 13/32 binary64)) (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))
(pow.f64 (-.f64 y x) #s(literal 13/32 binary64))
(-.f64 y x)
(pow.f64 (-.f64 y x) #s(literal 3/32 binary64))

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)
(pow (* 1 (pow y 13)) 1/32)
(+ (* 1/32 (* (pow (* 1 (pow y 13)) 1/32) (* x (- (* 4 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 3))) (/ 1 y))))) (pow (* 1 (pow y 13)) 1/32))
(+ (* x (+ (* 1/32 (* (pow (* 1 (pow y 13)) 1/32) (- (* 4 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 3))) (/ 1 y)))) (* (pow (* 1 (pow y 13)) 1/32) (* x (+ (* 1/2048 (pow (- (* 4 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 3))) (/ 1 y)) 2)) (* 1/64 (+ (* -1 (/ (pow (+ (* -1 (pow y 12)) (* 4 (* (pow y 10) (+ (* -2 (pow y 2)) (* -1 (pow y 2)))))) 2) (pow y 26))) (* 2 (/ (+ (* -4 (* (pow y 9) (+ (* -2 (pow y 2)) (* -1 (pow y 2))))) (* y (+ (* 2 (* (pow y 6) (+ (* 2 (* (pow y 3) (+ y (* 2 y)))) (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2)))) (* 4 (* (pow y 6) (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2)))))) (pow y 13)))))))))) (pow (* 1 (pow y 13)) 1/32))
(+ (* x (+ (* 1/32 (* (pow (* 1 (pow y 13)) 1/32) (- (* 4 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 3))) (/ 1 y)))) (* x (+ (* (pow (* 1 (pow y 13)) 1/32) (* x (+ (* 1/196608 (pow (- (* 4 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 3))) (/ 1 y)) 3)) (+ (* 1/2048 (* (+ (* -1 (/ (pow (+ (* -1 (pow y 12)) (* 4 (* (pow y 10) (+ (* -2 (pow y 2)) (* -1 (pow y 2)))))) 2) (pow y 26))) (* 2 (/ (+ (* -4 (* (pow y 9) (+ (* -2 (pow y 2)) (* -1 (pow y 2))))) (* y (+ (* 2 (* (pow y 6) (+ (* 2 (* (pow y 3) (+ y (* 2 y)))) (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2)))) (* 4 (* (pow y 6) (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2)))))) (pow y 13)))) (- (* 4 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 3))) (/ 1 y)))) (* 1/192 (+ (* -6 (/ (* (+ (* -4 (* (pow y 9) (+ (* -2 (pow y 2)) (* -1 (pow y 2))))) (* y (+ (* 2 (* (pow y 6) (+ (* 2 (* (pow y 3) (+ y (* 2 y)))) (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2)))) (* 4 (* (pow y 6) (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2)))))) (+ (* -1 (pow y 12)) (* 4 (* (pow y 10) (+ (* -2 (pow y 2)) (* -1 (pow y 2))))))) (pow y 26))) (+ (* 2 (/ (pow (+ (* -1 (pow y 12)) (* 4 (* (pow y 10) (+ (* -2 (pow y 2)) (* -1 (pow y 2)))))) 3) (pow y 39))) (* 6 (/ (+ (* -1 (+ (* 2 (* (pow y 6) (+ (* 2 (* (pow y 3) (+ y (* 2 y)))) (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2)))) (* 4 (* (pow y 6) (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2))))) (* y (+ (* 2 (* (pow y 6) (+ (* -2 (pow y 3)) (* 2 (* (+ y (* 2 y)) (+ (* -2 (pow y 2)) (* -1 (pow y 2)))))))) (* 4 (* (pow y 3) (* (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (+ (* 2 (* (pow y 3) (+ y (* 2 y)))) (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2)))))))) (pow y 13)))))))))) (* (pow (* 1 (pow y 13)) 1/32) (+ (* 1/2048 (pow (- (* 4 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 3))) (/ 1 y)) 2)) (* 1/64 (+ (* -1 (/ (pow (+ (* -1 (pow y 12)) (* 4 (* (pow y 10) (+ (* -2 (pow y 2)) (* -1 (pow y 2)))))) 2) (pow y 26))) (* 2 (/ (+ (* -4 (* (pow y 9) (+ (* -2 (pow y 2)) (* -1 (pow y 2))))) (* y (+ (* 2 (* (pow y 6) (+ (* 2 (* (pow y 3) (+ y (* 2 y)))) (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2)))) (* 4 (* (pow y 6) (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2)))))) (pow y 13))))))))))) (pow (* 1 (pow y 13)) 1/32))
(pow (* 1 (pow y 3)) 1/32)
(+ (* -3/32 (* (pow (/ 1 (pow y 29)) 1/32) x)) (pow (* 1 (pow y 3)) 1/32))
(+ (* x (+ (* -3/32 (pow (/ 1 (pow y 29)) 1/32)) (* (pow (* 1 (pow y 3)) 1/32) (* x (+ (* 1/64 (+ (* -1 (/ (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2) (pow y 6))) (* 2 (/ (+ y (* 2 y)) (pow y 3))))) (* 9/2048 (/ 1 (pow y 2)))))))) (pow (* 1 (pow y 3)) 1/32))
(+ (* x (+ (* -3/32 (pow (/ 1 (pow y 29)) 1/32)) (* x (+ (* (pow (* 1 (pow y 3)) 1/32) (* x (- (+ (* -3/2048 (/ (+ (* -1 (/ (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2) (pow y 6))) (* 2 (/ (+ y (* 2 y)) (pow y 3)))) y)) (* 1/192 (- (+ (* -6 (/ (* (+ y (* 2 y)) (+ (* -2 (pow y 2)) (* -1 (pow y 2)))) (pow y 6))) (* 2 (/ (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 3) (pow y 9)))) (* 6 (/ 1 (pow y 3)))))) (* 9/65536 (/ 1 (pow y 3)))))) (* (pow (* 1 (pow y 3)) 1/32) (+ (* 1/64 (+ (* -1 (/ (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2) (pow y 6))) (* 2 (/ (+ y (* 2 y)) (pow y 3))))) (* 9/2048 (/ 1 (pow y 2))))))))) (pow (* 1 (pow y 3)) 1/32))
(* (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))
(exp (* 1/32 (+ (log -1) (* -13 (log (/ 1 x))))))
(+ (exp (* 1/32 (+ (log -1) (* -13 (log (/ 1 x)))))) (* -1/32 (/ (* (exp (* 1/32 (+ (log -1) (* -13 (log (/ 1 x)))))) (+ y (* 4 (+ y (* 2 y))))) x)))
(+ (exp (* 1/32 (+ (log -1) (* -13 (log (/ 1 x)))))) (+ (* -1/32 (/ (* (exp (* 1/32 (+ (log -1) (* -13 (log (/ 1 x)))))) (+ y (* 4 (+ y (* 2 y))))) x)) (/ (* (exp (* 1/32 (+ (log -1) (* -13 (log (/ 1 x)))))) (+ (* 1/2048 (pow (+ y (* 4 (+ y (* 2 y)))) 2)) (* 1/64 (+ (* -2 (+ (* -4 (* y (+ y (* 2 y)))) (* -1 (+ (* -4 (+ (* -2 (pow y 2)) (* -1 (pow y 2)))) (+ (* 2 (pow (+ y (* 2 y)) 2)) (* 4 (pow (+ y (* 2 y)) 2))))))) (* -1 (pow (+ y (* 4 (+ y (* 2 y)))) 2)))))) (pow x 2))))
(+ (exp (* 1/32 (+ (log -1) (* -13 (log (/ 1 x)))))) (+ (* -1/32 (/ (* (exp (* 1/32 (+ (log -1) (* -13 (log (/ 1 x)))))) (+ y (* 4 (+ y (* 2 y))))) x)) (+ (/ (* (exp (* 1/32 (+ (log -1) (* -13 (log (/ 1 x)))))) (+ (* -1/2048 (* (+ y (* 4 (+ y (* 2 y)))) (+ (* -2 (+ (* -4 (* y (+ y (* 2 y)))) (* -1 (+ (* -4 (+ (* -2 (pow y 2)) (* -1 (pow y 2)))) (+ (* 2 (pow (+ y (* 2 y)) 2)) (* 4 (pow (+ y (* 2 y)) 2))))))) (* -1 (pow (+ y (* 4 (+ y (* 2 y)))) 2))))) (+ (* -1/196608 (pow (+ y (* 4 (+ y (* 2 y)))) 3)) (* 1/192 (+ (* -6 (* (+ y (* 4 (+ y (* 2 y)))) (+ (* -4 (* y (+ y (* 2 y)))) (* -1 (+ (* -4 (+ (* -2 (pow y 2)) (* -1 (pow y 2)))) (+ (* 2 (pow (+ y (* 2 y)) 2)) (* 4 (pow (+ y (* 2 y)) 2)))))))) (+ (* -6 (+ (* -1 (+ (* -4 (* (+ y (* 2 y)) (+ (* -2 (+ (* -2 (pow y 2)) (* -1 (pow y 2)))) (pow (+ y (* 2 y)) 2)))) (+ (* -4 (pow y 3)) (* 4 (* (+ y (* 2 y)) (+ (* -2 (pow y 2)) (* -1 (pow y 2)))))))) (* y (+ (* -4 (+ (* -2 (pow y 2)) (* -1 (pow y 2)))) (+ (* 2 (pow (+ y (* 2 y)) 2)) (* 4 (pow (+ y (* 2 y)) 2))))))) (* -2 (pow (+ y (* 4 (+ y (* 2 y)))) 3)))))))) (pow x 3)) (/ (* (exp (* 1/32 (+ (log -1) (* -13 (log (/ 1 x)))))) (+ (* 1/2048 (pow (+ y (* 4 (+ y (* 2 y)))) 2)) (* 1/64 (+ (* -2 (+ (* -4 (* y (+ y (* 2 y)))) (* -1 (+ (* -4 (+ (* -2 (pow y 2)) (* -1 (pow y 2)))) (+ (* 2 (pow (+ y (* 2 y)) 2)) (* 4 (pow (+ y (* 2 y)) 2))))))) (* -1 (pow (+ y (* 4 (+ y (* 2 y)))) 2)))))) (pow x 2)))))
(exp (* 1/32 (+ (log -1) (* -3 (log (/ 1 x))))))
(+ (exp (* 1/32 (+ (log -1) (* -3 (log (/ 1 x)))))) (* -1/32 (/ (* (exp (* 1/32 (+ (log -1) (* -3 (log (/ 1 x)))))) (+ y (* 2 y))) x)))
(+ (exp (* 1/32 (+ (log -1) (* -3 (log (/ 1 x)))))) (+ (* -1/32 (/ (* (exp (* 1/32 (+ (log -1) (* -3 (log (/ 1 x)))))) (+ y (* 2 y))) x)) (/ (* (exp (* 1/32 (+ (log -1) (* -3 (log (/ 1 x)))))) (+ (* 1/2048 (pow (+ y (* 2 y)) 2)) (* 1/64 (+ (* -2 (+ (* -2 (pow y 2)) (* -1 (pow y 2)))) (* -1 (pow (+ y (* 2 y)) 2)))))) (pow x 2))))
(+ (exp (* 1/32 (+ (log -1) (* -3 (log (/ 1 x)))))) (+ (* -1/32 (/ (* (exp (* 1/32 (+ (log -1) (* -3 (log (/ 1 x)))))) (+ y (* 2 y))) x)) (+ (/ (* (exp (* 1/32 (+ (log -1) (* -3 (log (/ 1 x)))))) (+ (* -1/2048 (* (+ y (* 2 y)) (+ (* -2 (+ (* -2 (pow y 2)) (* -1 (pow y 2)))) (* -1 (pow (+ y (* 2 y)) 2))))) (+ (* -1/196608 (pow (+ y (* 2 y)) 3)) (* 1/192 (+ (* -6 (* (+ y (* 2 y)) (+ (* -2 (pow y 2)) (* -1 (pow y 2))))) (+ (* -6 (pow y 3)) (* -2 (pow (+ y (* 2 y)) 3)))))))) (pow x 3)) (/ (* (exp (* 1/32 (+ (log -1) (* -3 (log (/ 1 x)))))) (+ (* 1/2048 (pow (+ y (* 2 y)) 2)) (* 1/64 (+ (* -2 (+ (* -2 (pow y 2)) (* -1 (pow y 2)))) (* -1 (pow (+ y (* 2 y)) 2)))))) (pow x 2)))))
(* -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)))))
(pow (* -1 (pow x 13)) 1/32)
(+ (* -1/32 (* (pow (/ -1 (pow x 19)) 1/32) (+ y (+ (* 4 y) (* 8 y))))) (pow (* -1 (pow x 13)) 1/32))
(+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow x 19)) 1/32) (+ (* 1/2048 (pow (+ y (+ (* 4 y) (* 8 y))) 2)) (* 1/64 (+ (* -1 (pow (+ y (+ (* 4 y) (* 8 y))) 2)) (* 2 (+ (* 2 (pow (+ y (* 2 y)) 2)) (+ (* 4 (pow y 2)) (+ (* 8 (pow y 2)) (+ (* y (+ (* 4 y) (* 8 y))) (pow (+ (* 2 y) (* 4 y)) 2))))))))))) (* 1/32 (* (pow (* -1 (pow x 13)) 1/32) (+ y (+ (* 4 y) (* 8 y)))))) x)) (pow (* -1 (pow x 13)) 1/32))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow x 19)) 1/32) (+ (* 1/196608 (pow (+ y (+ (* 4 y) (* 8 y))) 3)) (+ (* 1/2048 (* (+ y (+ (* 4 y) (* 8 y))) (+ (* -1 (pow (+ y (+ (* 4 y) (* 8 y))) 2)) (* 2 (+ (* 2 (pow (+ y (* 2 y)) 2)) (+ (* 4 (pow y 2)) (+ (* 8 (pow y 2)) (+ (* y (+ (* 4 y) (* 8 y))) (pow (+ (* 2 y) (* 4 y)) 2))))))))) (* 1/192 (+ (* -6 (* (+ y (+ (* 4 y) (* 8 y))) (+ (* 2 (pow (+ y (* 2 y)) 2)) (+ (* 4 (pow y 2)) (+ (* 8 (pow y 2)) (+ (* y (+ (* 4 y) (* 8 y))) (pow (+ (* 2 y) (* 4 y)) 2))))))) (+ (* 2 (pow (+ y (+ (* 4 y) (* 8 y))) 3)) (* 6 (+ (* 2 (* (+ (* 2 y) (* 4 y)) (+ (* 2 (pow y 2)) (+ (* 4 (pow y 2)) (pow (+ y (* 2 y)) 2))))) (+ (* 4 (* (+ y (* 2 y)) (+ (* 2 (pow y 2)) (pow y 2)))) (+ (* 4 (pow y 3)) (* y (+ (* 2 (pow (+ y (* 2 y)) 2)) (+ (* 4 (pow y 2)) (+ (* 8 (pow y 2)) (pow (+ (* 2 y) (* 4 y)) 2)))))))))))))))) (* (pow (* -1 (pow x 13)) 1/32) (+ (* 1/2048 (pow (+ y (+ (* 4 y) (* 8 y))) 2)) (* 1/64 (+ (* -1 (pow (+ y (+ (* 4 y) (* 8 y))) 2)) (* 2 (+ (* 2 (pow (+ y (* 2 y)) 2)) (+ (* 4 (pow y 2)) (+ (* 8 (pow y 2)) (+ (* y (+ (* 4 y) (* 8 y))) (pow (+ (* 2 y) (* 4 y)) 2))))))))))) x)) (* 1/32 (* (pow (* -1 (pow x 13)) 1/32) (+ y (+ (* 4 y) (* 8 y)))))) x)) (pow (* -1 (pow x 13)) 1/32))
(pow (* -1 (pow x 3)) 1/32)
(+ (* -1/32 (* (pow (/ -1 (pow x 29)) 1/32) (+ y (* 2 y)))) (pow (* -1 (pow x 3)) 1/32))
(+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow x 29)) 1/32) (+ (* 1/2048 (pow (+ y (* 2 y)) 2)) (* 1/64 (+ (* -1 (pow (+ y (* 2 y)) 2)) (* 2 (+ (* 2 (pow y 2)) (pow y 2)))))))) (* 1/32 (* (pow (* -1 (pow x 3)) 1/32) (+ y (* 2 y))))) x)) (pow (* -1 (pow x 3)) 1/32))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow x 29)) 1/32) (+ (* 1/196608 (pow (+ y (* 2 y)) 3)) (+ (* 1/2048 (* (+ y (* 2 y)) (+ (* -1 (pow (+ y (* 2 y)) 2)) (* 2 (+ (* 2 (pow y 2)) (pow y 2)))))) (* 1/192 (+ (* -6 (* (+ y (* 2 y)) (+ (* 2 (pow y 2)) (pow y 2)))) (+ (* 2 (pow (+ y (* 2 y)) 3)) (* 6 (pow y 3))))))))) (* (pow (* -1 (pow x 3)) 1/32) (+ (* 1/2048 (pow (+ y (* 2 y)) 2)) (* 1/64 (+ (* -1 (pow (+ y (* 2 y)) 2)) (* 2 (+ (* 2 (pow y 2)) (pow y 2)))))))) x)) (* 1/32 (* (pow (* -1 (pow x 3)) 1/32) (+ y (* 2 y))))) x)) (pow (* -1 (pow x 3)) 1/32))
(+ (* 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)
(+ (* -1/32 (* (pow (/ -1 (pow x 403)) 1/32) (* y (+ (* 4 (* (pow x 10) (+ (* 2 (pow x 2)) (pow x 2)))) (pow x 12))))) (pow (* -1 (pow x 13)) 1/32))
(+ (* y (+ (* -1/32 (* (pow (/ -1 (pow x 403)) 1/32) (+ (* 4 (* (pow x 10) (+ (* 2 (pow x 2)) (pow x 2)))) (pow x 12)))) (* (pow (* -1 (pow x 13)) 1/32) (* y (+ (* 1/2048 (/ (pow (+ (* 4 (* (pow x 10) (+ (* 2 (pow x 2)) (pow x 2)))) (pow x 12)) 2) (pow x 26))) (* 1/64 (+ (* -2 (/ (+ (* -4 (* (pow x 9) (+ (* 2 (pow x 2)) (pow x 2)))) (* -1 (* x (+ (* 2 (* (pow x 6) (+ (* -2 (* (pow x 3) (+ (* -2 x) (* -1 x)))) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 4 (* (pow x 6) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))) (pow x 13))) (* -1 (/ (pow (+ (* 4 (* (pow x 10) (+ (* 2 (pow x 2)) (pow x 2)))) (pow x 12)) 2) (pow x 26)))))))))) (pow (* -1 (pow x 13)) 1/32))
(+ (* y (+ (* -1/32 (* (pow (/ -1 (pow x 403)) 1/32) (+ (* 4 (* (pow x 10) (+ (* 2 (pow x 2)) (pow x 2)))) (pow x 12)))) (* y (+ (* (pow (* -1 (pow x 13)) 1/32) (* y (+ (* -1/2048 (/ (* (+ (* -2 (/ (+ (* -4 (* (pow x 9) (+ (* 2 (pow x 2)) (pow x 2)))) (* -1 (* x (+ (* 2 (* (pow x 6) (+ (* -2 (* (pow x 3) (+ (* -2 x) (* -1 x)))) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 4 (* (pow x 6) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))) (pow x 13))) (* -1 (/ (pow (+ (* 4 (* (pow x 10) (+ (* 2 (pow x 2)) (pow x 2)))) (pow x 12)) 2) (pow x 26)))) (+ (* 4 (* (pow x 10) (+ (* 2 (pow x 2)) (pow x 2)))) (pow x 12))) (pow x 13))) (+ (* -1/196608 (/ (pow (+ (* 4 (* (pow x 10) (+ (* 2 (pow x 2)) (pow x 2)))) (pow x 12)) 3) (pow x 39))) (* 1/192 (+ (* -6 (/ (* (+ (* -4 (* (pow x 9) (+ (* 2 (pow x 2)) (pow x 2)))) (* -1 (* x (+ (* 2 (* (pow x 6) (+ (* -2 (* (pow x 3) (+ (* -2 x) (* -1 x)))) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 4 (* (pow x 6) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))) (+ (* 4 (* (pow x 10) (+ (* 2 (pow x 2)) (pow x 2)))) (pow x 12))) (pow x 26))) (+ (* -6 (/ (+ (* -1 (* x (+ (* -4 (* (pow x 3) (* (+ (* -2 (* (pow x 3) (+ (* -2 x) (* -1 x)))) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)) (+ (* 2 (pow x 2)) (pow x 2))))) (* 2 (* (pow x 6) (+ (* -2 (pow x 3)) (* 2 (* (+ (* -2 x) (* -1 x)) (+ (* 2 (pow x 2)) (pow x 2)))))))))) (+ (* 2 (* (pow x 6) (+ (* -2 (* (pow x 3) (+ (* -2 x) (* -1 x)))) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 4 (* (pow x 6) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))) (pow x 13))) (* -2 (/ (pow (+ (* 4 (* (pow x 10) (+ (* 2 (pow x 2)) (pow x 2)))) (pow x 12)) 3) (pow x 39)))))))))) (* (pow (* -1 (pow x 13)) 1/32) (+ (* 1/2048 (/ (pow (+ (* 4 (* (pow x 10) (+ (* 2 (pow x 2)) (pow x 2)))) (pow x 12)) 2) (pow x 26))) (* 1/64 (+ (* -2 (/ (+ (* -4 (* (pow x 9) (+ (* 2 (pow x 2)) (pow x 2)))) (* -1 (* x (+ (* 2 (* (pow x 6) (+ (* -2 (* (pow x 3) (+ (* -2 x) (* -1 x)))) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2)))) (* 4 (* (pow x 6) (pow (+ (* 2 (pow x 2)) (pow x 2)) 2))))))) (pow x 13))) (* -1 (/ (pow (+ (* 4 (* (pow x 10) (+ (* 2 (pow x 2)) (pow x 2)))) (pow x 12)) 2) (pow x 26))))))))))) (pow (* -1 (pow x 13)) 1/32))
(+ (* -1/32 (* (pow (/ -1 (pow x 93)) 1/32) (* y (+ (* 2 (pow x 2)) (pow x 2))))) (pow (* -1 (pow x 3)) 1/32))
(+ (* y (+ (* -1/32 (* (pow (/ -1 (pow x 93)) 1/32) (+ (* 2 (pow x 2)) (pow x 2)))) (* (pow (* -1 (pow x 3)) 1/32) (* y (+ (* 1/2048 (/ (pow (+ (* 2 (pow x 2)) (pow x 2)) 2) (pow x 6))) (* 1/64 (+ (* -2 (/ (+ (* -2 x) (* -1 x)) (pow x 3))) (* -1 (/ (pow (+ (* 2 (pow x 2)) (pow x 2)) 2) (pow x 6)))))))))) (pow (* -1 (pow x 3)) 1/32))
(+ (* y (+ (* -1/32 (* (pow (/ -1 (pow x 93)) 1/32) (+ (* 2 (pow x 2)) (pow x 2)))) (* y (+ (* (pow (* -1 (pow x 3)) 1/32) (* y (+ (* -1/2048 (/ (* (+ (* -2 (/ (+ (* -2 x) (* -1 x)) (pow x 3))) (* -1 (/ (pow (+ (* 2 (pow x 2)) (pow x 2)) 2) (pow x 6)))) (+ (* 2 (pow x 2)) (pow x 2))) (pow x 3))) (+ (* -1/196608 (/ (pow (+ (* 2 (pow x 2)) (pow x 2)) 3) (pow x 9))) (* 1/192 (- (+ (* -6 (/ (* (+ (* -2 x) (* -1 x)) (+ (* 2 (pow x 2)) (pow x 2))) (pow x 6))) (* -2 (/ (pow (+ (* 2 (pow x 2)) (pow x 2)) 3) (pow x 9)))) (* 6 (/ 1 (pow x 3))))))))) (* (pow (* -1 (pow x 3)) 1/32) (+ (* 1/2048 (/ (pow (+ (* 2 (pow x 2)) (pow x 2)) 2) (pow x 6))) (* 1/64 (+ (* -2 (/ (+ (* -2 x) (* -1 x)) (pow x 3))) (* -1 (/ (pow (+ (* 2 (pow x 2)) (pow x 2)) 2) (pow x 6))))))))))) (pow (* -1 (pow x 3)) 1/32))
(* 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))))
(+ (* 1/32 (* (pow (/ 1 (pow y 19)) 1/32) (+ (* -8 x) (+ (* -4 x) (* -1 x))))) (pow (* 1 (pow y 13)) 1/32))
(+ (* 1/32 (* (pow (/ 1 (pow y 19)) 1/32) (+ (* -8 x) (+ (* -4 x) (* -1 x))))) (+ (* (pow (/ 1 (pow y 51)) 1/32) (+ (* 1/2048 (pow (+ (* -8 x) (+ (* -4 x) (* -1 x))) 2)) (* 1/64 (+ (* -1 (pow (+ (* -8 x) (+ (* -4 x) (* -1 x))) 2)) (* 2 (+ (* -1 (* x (+ (* -8 x) (* -4 x)))) (+ (* 2 (pow (+ (* -2 x) (* -1 x)) 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow (+ (* -4 x) (* -2 x)) 2)))))))))) (pow (* 1 (pow y 13)) 1/32)))
(+ (* 1/32 (* (pow (/ 1 (pow y 19)) 1/32) (+ (* -8 x) (+ (* -4 x) (* -1 x))))) (+ (* (pow (/ 1 (pow y 51)) 1/32) (+ (* 1/2048 (pow (+ (* -8 x) (+ (* -4 x) (* -1 x))) 2)) (* 1/64 (+ (* -1 (pow (+ (* -8 x) (+ (* -4 x) (* -1 x))) 2)) (* 2 (+ (* -1 (* x (+ (* -8 x) (* -4 x)))) (+ (* 2 (pow (+ (* -2 x) (* -1 x)) 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow (+ (* -4 x) (* -2 x)) 2)))))))))) (+ (* (pow (/ 1 (pow y 83)) 1/32) (+ (* 1/196608 (pow (+ (* -8 x) (+ (* -4 x) (* -1 x))) 3)) (+ (* 1/2048 (* (+ (* -8 x) (+ (* -4 x) (* -1 x))) (+ (* -1 (pow (+ (* -8 x) (+ (* -4 x) (* -1 x))) 2)) (* 2 (+ (* -1 (* x (+ (* -8 x) (* -4 x)))) (+ (* 2 (pow (+ (* -2 x) (* -1 x)) 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow (+ (* -4 x) (* -2 x)) 2))))))))) (* 1/192 (+ (* -6 (* (+ (* -8 x) (+ (* -4 x) (* -1 x))) (+ (* -1 (* x (+ (* -8 x) (* -4 x)))) (+ (* 2 (pow (+ (* -2 x) (* -1 x)) 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow (+ (* -4 x) (* -2 x)) 2))))))) (+ (* 2 (pow (+ (* -8 x) (+ (* -4 x) (* -1 x))) 3)) (* 6 (+ (* -4 (pow x 3)) (+ (* -1 (* x (+ (* 2 (pow (+ (* -2 x) (* -1 x)) 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow (+ (* -4 x) (* -2 x)) 2)))))) (+ (* 2 (* (+ (* -4 x) (* -2 x)) (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (pow (+ (* -2 x) (* -1 x)) 2))))) (* 4 (* (+ (* -2 x) (* -1 x)) (+ (* 2 (pow x 2)) (pow x 2)))))))))))))) (pow (* 1 (pow y 13)) 1/32))))
(+ (* 1/32 (* (pow (/ 1 (pow y 29)) 1/32) (+ (* -2 x) (* -1 x)))) (pow (* 1 (pow y 3)) 1/32))
(+ (* 1/32 (* (pow (/ 1 (pow y 29)) 1/32) (+ (* -2 x) (* -1 x)))) (+ (* (pow (/ 1 (pow y 61)) 1/32) (+ (* 1/2048 (pow (+ (* -2 x) (* -1 x)) 2)) (* 1/64 (+ (* -1 (pow (+ (* -2 x) (* -1 x)) 2)) (* 2 (+ (* 2 (pow x 2)) (pow x 2))))))) (pow (* 1 (pow y 3)) 1/32)))
(+ (* 1/32 (* (pow (/ 1 (pow y 29)) 1/32) (+ (* -2 x) (* -1 x)))) (+ (* (pow (/ 1 (pow y 61)) 1/32) (+ (* 1/2048 (pow (+ (* -2 x) (* -1 x)) 2)) (* 1/64 (+ (* -1 (pow (+ (* -2 x) (* -1 x)) 2)) (* 2 (+ (* 2 (pow x 2)) (pow x 2))))))) (+ (* (pow (/ 1 (pow y 93)) 1/32) (+ (* 1/196608 (pow (+ (* -2 x) (* -1 x)) 3)) (+ (* 1/2048 (* (+ (* -2 x) (* -1 x)) (+ (* -1 (pow (+ (* -2 x) (* -1 x)) 2)) (* 2 (+ (* 2 (pow x 2)) (pow x 2)))))) (* 1/192 (+ (* -6 (* (+ (* -2 x) (* -1 x)) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* -6 (pow x 3)) (* 2 (pow (+ (* -2 x) (* -1 x)) 3)))))))) (pow (* 1 (pow y 3)) 1/32))))
(* -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 (* (pow -1 1/16) (* (sqrt y) (sqrt -1))))
(* -1 (* y (+ (* 1/2 (* (pow -1 1/16) (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3)))))) (* (pow -1 1/16) (* (sqrt (/ 1 y)) (sqrt -1))))))
(* -1 (* y (+ (* -1/8 (* (pow -1 1/16) (* (* (pow x 2) (sqrt -1)) (sqrt (/ 1 (pow y 5)))))) (+ (* 1/2 (* (pow -1 1/16) (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3)))))) (* (pow -1 1/16) (* (sqrt (/ 1 y)) (sqrt -1)))))))
(* -1 (* y (+ (* -1/8 (* (pow -1 1/16) (* (* (pow x 2) (sqrt -1)) (sqrt (/ 1 (pow y 5)))))) (+ (* 1/16 (* (pow -1 1/16) (* (* (pow x 3) (sqrt -1)) (sqrt (/ 1 (pow y 7)))))) (+ (* 1/2 (* (pow -1 1/16) (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3)))))) (* (pow -1 1/16) (* (sqrt (/ 1 y)) (sqrt -1))))))))
(exp (* 1/32 (+ (log -1) (* -13 (log (/ -1 y))))))
(+ (exp (* 1/32 (+ (log -1) (* -13 (log (/ -1 y)))))) (* -1/32 (/ (* (exp (* 1/32 (+ (log -1) (* -13 (log (/ -1 y)))))) (+ x (+ (* 4 x) (* 8 x)))) y)))
(+ (exp (* 1/32 (+ (log -1) (* -13 (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/32 (+ (log -1) (* -13 (log (/ -1 y)))))) (+ (* 1/2048 (pow (+ x (+ (* 4 x) (* 8 x))) 2)) (* 1/64 (+ (* -1 (pow (+ x (+ (* 4 x) (* 8 x))) 2)) (* 2 (+ (* 2 (pow (+ x (* 2 x)) 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (+ (* x (+ (* 4 x) (* 8 x))) (pow (+ (* 2 x) (* 4 x)) 2)))))))))) y)) (* 1/32 (* (exp (* 1/32 (+ (log -1) (* -13 (log (/ -1 y)))))) (+ x (+ (* 4 x) (* 8 x)))))) y)))
(+ (exp (* 1/32 (+ (log -1) (* -13 (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/32 (+ (log -1) (* -13 (log (/ -1 y)))))) (+ (* 1/196608 (pow (+ x (+ (* 4 x) (* 8 x))) 3)) (+ (* 1/2048 (* (+ x (+ (* 4 x) (* 8 x))) (+ (* -1 (pow (+ x (+ (* 4 x) (* 8 x))) 2)) (* 2 (+ (* 2 (pow (+ x (* 2 x)) 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (+ (* x (+ (* 4 x) (* 8 x))) (pow (+ (* 2 x) (* 4 x)) 2))))))))) (* 1/192 (+ (* -6 (* (+ x (+ (* 4 x) (* 8 x))) (+ (* 2 (pow (+ x (* 2 x)) 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (+ (* x (+ (* 4 x) (* 8 x))) (pow (+ (* 2 x) (* 4 x)) 2))))))) (+ (* 2 (pow (+ x (+ (* 4 x) (* 8 x))) 3)) (* 6 (+ (* 2 (* (+ (* 2 x) (* 4 x)) (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (pow (+ x (* 2 x)) 2))))) (+ (* 4 (* (+ x (* 2 x)) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow (+ x (* 2 x)) 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow (+ (* 2 x) (* 4 x)) 2))))))))))))))) y)) (* (exp (* 1/32 (+ (log -1) (* -13 (log (/ -1 y)))))) (+ (* 1/2048 (pow (+ x (+ (* 4 x) (* 8 x))) 2)) (* 1/64 (+ (* -1 (pow (+ x (+ (* 4 x) (* 8 x))) 2)) (* 2 (+ (* 2 (pow (+ x (* 2 x)) 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (+ (* x (+ (* 4 x) (* 8 x))) (pow (+ (* 2 x) (* 4 x)) 2))))))))))) y)) (* 1/32 (* (exp (* 1/32 (+ (log -1) (* -13 (log (/ -1 y)))))) (+ x (+ (* 4 x) (* 8 x)))))) y)))
(exp (* 1/32 (+ (log -1) (* -3 (log (/ -1 y))))))
(+ (exp (* 1/32 (+ (log -1) (* -3 (log (/ -1 y)))))) (* -1/32 (/ (* (exp (* 1/32 (+ (log -1) (* -3 (log (/ -1 y)))))) (+ x (* 2 x))) y)))
(+ (exp (* 1/32 (+ (log -1) (* -3 (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/32 (+ (log -1) (* -3 (log (/ -1 y)))))) (+ (* 1/2048 (pow (+ x (* 2 x)) 2)) (* 1/64 (+ (* -1 (pow (+ x (* 2 x)) 2)) (* 2 (+ (* 2 (pow x 2)) (pow x 2))))))) y)) (* 1/32 (* (exp (* 1/32 (+ (log -1) (* -3 (log (/ -1 y)))))) (+ x (* 2 x))))) y)))
(+ (exp (* 1/32 (+ (log -1) (* -3 (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/32 (+ (log -1) (* -3 (log (/ -1 y)))))) (+ (* 1/196608 (pow (+ x (* 2 x)) 3)) (+ (* 1/2048 (* (+ x (* 2 x)) (+ (* -1 (pow (+ x (* 2 x)) 2)) (* 2 (+ (* 2 (pow x 2)) (pow x 2)))))) (* 1/192 (+ (* -6 (* (+ x (* 2 x)) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* 2 (pow (+ x (* 2 x)) 3)) (* 6 (pow x 3)))))))) y)) (* (exp (* 1/32 (+ (log -1) (* -3 (log (/ -1 y)))))) (+ (* 1/2048 (pow (+ x (* 2 x)) 2)) (* 1/64 (+ (* -1 (pow (+ x (* 2 x)) 2)) (* 2 (+ (* 2 (pow x 2)) (pow x 2)))))))) y)) (* 1/32 (* (exp (* 1/32 (+ (log -1) (* -3 (log (/ -1 y)))))) (+ x (* 2 x))))) y)))

Calls

6 calls:

Time	Variable		Point	Expression
58.0ms	x	@	0	((sqrt (- y x)) (sqrt y) (sqrt (- y x)) (- y x) (neg x) (* (pow (- y x) 13/32) (pow (- y x) 3/32)) (pow (- y x) 13/32) (- y x) (pow (- y x) 3/32))
56.0ms	y	@	0	((sqrt (- y x)) (sqrt y) (sqrt (- y x)) (- y x) (neg x) (* (pow (- y x) 13/32) (pow (- y x) 3/32)) (pow (- y x) 13/32) (- y x) (pow (- y x) 3/32))
56.0ms	y	@	inf	((sqrt (- y x)) (sqrt y) (sqrt (- y x)) (- y x) (neg x) (* (pow (- y x) 13/32) (pow (- y x) 3/32)) (pow (- y x) 13/32) (- y x) (pow (- y x) 3/32))
53.0ms	x	@	inf	((sqrt (- y x)) (sqrt y) (sqrt (- y x)) (- y x) (neg x) (* (pow (- y x) 13/32) (pow (- y x) 3/32)) (pow (- y x) 13/32) (- y x) (pow (- y x) 3/32))
16.0ms	x	@	-inf	((sqrt (- y x)) (sqrt y) (sqrt (- y x)) (- y x) (neg x) (* (pow (- y x) 13/32) (pow (- y x) 3/32)) (pow (- y x) 13/32) (- y x) (pow (- y x) 3/32))

simplify411.0ms (9.5%)

Memory

-4.5MiB live, 242.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	941	5265
1	3659	4970
2	7777	4968
0	8079	4609

Stop Event

1×	iter limit
1×	node limit

Counts

78 → 77

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)
(pow (* 1 (pow y 13)) 1/32)
(+ (* 1/32 (* (pow (* 1 (pow y 13)) 1/32) (* x (- (* 4 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 3))) (/ 1 y))))) (pow (* 1 (pow y 13)) 1/32))
(+ (* x (+ (* 1/32 (* (pow (* 1 (pow y 13)) 1/32) (- (* 4 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 3))) (/ 1 y)))) (* (pow (* 1 (pow y 13)) 1/32) (* x (+ (* 1/2048 (pow (- (* 4 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 3))) (/ 1 y)) 2)) (* 1/64 (+ (* -1 (/ (pow (+ (* -1 (pow y 12)) (* 4 (* (pow y 10) (+ (* -2 (pow y 2)) (* -1 (pow y 2)))))) 2) (pow y 26))) (* 2 (/ (+ (* -4 (* (pow y 9) (+ (* -2 (pow y 2)) (* -1 (pow y 2))))) (* y (+ (* 2 (* (pow y 6) (+ (* 2 (* (pow y 3) (+ y (* 2 y)))) (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2)))) (* 4 (* (pow y 6) (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2)))))) (pow y 13)))))))))) (pow (* 1 (pow y 13)) 1/32))
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(+ (* 1/32 (* (pow (/ 1 (pow y 29)) 1/32) (+ (* -2 x) (* -1 x)))) (+ (* (pow (/ 1 (pow y 61)) 1/32) (+ (* 1/2048 (pow (+ (* -2 x) (* -1 x)) 2)) (* 1/64 (+ (* -1 (pow (+ (* -2 x) (* -1 x)) 2)) (* 2 (+ (* 2 (pow x 2)) (pow x 2))))))) (+ (* (pow (/ 1 (pow y 93)) 1/32) (+ (* 1/196608 (pow (+ (* -2 x) (* -1 x)) 3)) (+ (* 1/2048 (* (+ (* -2 x) (* -1 x)) (+ (* -1 (pow (+ (* -2 x) (* -1 x)) 2)) (* 2 (+ (* 2 (pow x 2)) (pow x 2)))))) (* 1/192 (+ (* -6 (* (+ (* -2 x) (* -1 x)) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* -6 (pow x 3)) (* 2 (pow (+ (* -2 x) (* -1 x)) 3)))))))) (pow (* 1 (pow y 3)) 1/32))))
(* -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 (* (pow -1 1/16) (* (sqrt y) (sqrt -1))))
(* -1 (* y (+ (* 1/2 (* (pow -1 1/16) (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3)))))) (* (pow -1 1/16) (* (sqrt (/ 1 y)) (sqrt -1))))))
(* -1 (* y (+ (* -1/8 (* (pow -1 1/16) (* (* (pow x 2) (sqrt -1)) (sqrt (/ 1 (pow y 5)))))) (+ (* 1/2 (* (pow -1 1/16) (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3)))))) (* (pow -1 1/16) (* (sqrt (/ 1 y)) (sqrt -1)))))))
(* -1 (* y (+ (* -1/8 (* (pow -1 1/16) (* (* (pow x 2) (sqrt -1)) (sqrt (/ 1 (pow y 5)))))) (+ (* 1/16 (* (pow -1 1/16) (* (* (pow x 3) (sqrt -1)) (sqrt (/ 1 (pow y 7)))))) (+ (* 1/2 (* (pow -1 1/16) (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3)))))) (* (pow -1 1/16) (* (sqrt (/ 1 y)) (sqrt -1))))))))
(exp (* 1/32 (+ (log -1) (* -13 (log (/ -1 y))))))
(+ (exp (* 1/32 (+ (log -1) (* -13 (log (/ -1 y)))))) (* -1/32 (/ (* (exp (* 1/32 (+ (log -1) (* -13 (log (/ -1 y)))))) (+ x (+ (* 4 x) (* 8 x)))) y)))
(+ (exp (* 1/32 (+ (log -1) (* -13 (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/32 (+ (log -1) (* -13 (log (/ -1 y)))))) (+ (* 1/2048 (pow (+ x (+ (* 4 x) (* 8 x))) 2)) (* 1/64 (+ (* -1 (pow (+ x (+ (* 4 x) (* 8 x))) 2)) (* 2 (+ (* 2 (pow (+ x (* 2 x)) 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (+ (* x (+ (* 4 x) (* 8 x))) (pow (+ (* 2 x) (* 4 x)) 2)))))))))) y)) (* 1/32 (* (exp (* 1/32 (+ (log -1) (* -13 (log (/ -1 y)))))) (+ x (+ (* 4 x) (* 8 x)))))) y)))
(+ (exp (* 1/32 (+ (log -1) (* -13 (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/32 (+ (log -1) (* -13 (log (/ -1 y)))))) (+ (* 1/196608 (pow (+ x (+ (* 4 x) (* 8 x))) 3)) (+ (* 1/2048 (* (+ x (+ (* 4 x) (* 8 x))) (+ (* -1 (pow (+ x (+ (* 4 x) (* 8 x))) 2)) (* 2 (+ (* 2 (pow (+ x (* 2 x)) 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (+ (* x (+ (* 4 x) (* 8 x))) (pow (+ (* 2 x) (* 4 x)) 2))))))))) (* 1/192 (+ (* -6 (* (+ x (+ (* 4 x) (* 8 x))) (+ (* 2 (pow (+ x (* 2 x)) 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (+ (* x (+ (* 4 x) (* 8 x))) (pow (+ (* 2 x) (* 4 x)) 2))))))) (+ (* 2 (pow (+ x (+ (* 4 x) (* 8 x))) 3)) (* 6 (+ (* 2 (* (+ (* 2 x) (* 4 x)) (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (pow (+ x (* 2 x)) 2))))) (+ (* 4 (* (+ x (* 2 x)) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow (+ x (* 2 x)) 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow (+ (* 2 x) (* 4 x)) 2))))))))))))))) y)) (* (exp (* 1/32 (+ (log -1) (* -13 (log (/ -1 y)))))) (+ (* 1/2048 (pow (+ x (+ (* 4 x) (* 8 x))) 2)) (* 1/64 (+ (* -1 (pow (+ x (+ (* 4 x) (* 8 x))) 2)) (* 2 (+ (* 2 (pow (+ x (* 2 x)) 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (+ (* x (+ (* 4 x) (* 8 x))) (pow (+ (* 2 x) (* 4 x)) 2))))))))))) y)) (* 1/32 (* (exp (* 1/32 (+ (log -1) (* -13 (log (/ -1 y)))))) (+ x (+ (* 4 x) (* 8 x)))))) y)))
(exp (* 1/32 (+ (log -1) (* -3 (log (/ -1 y))))))
(+ (exp (* 1/32 (+ (log -1) (* -3 (log (/ -1 y)))))) (* -1/32 (/ (* (exp (* 1/32 (+ (log -1) (* -3 (log (/ -1 y)))))) (+ x (* 2 x))) y)))
(+ (exp (* 1/32 (+ (log -1) (* -3 (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/32 (+ (log -1) (* -3 (log (/ -1 y)))))) (+ (* 1/2048 (pow (+ x (* 2 x)) 2)) (* 1/64 (+ (* -1 (pow (+ x (* 2 x)) 2)) (* 2 (+ (* 2 (pow x 2)) (pow x 2))))))) y)) (* 1/32 (* (exp (* 1/32 (+ (log -1) (* -3 (log (/ -1 y)))))) (+ x (* 2 x))))) y)))
(+ (exp (* 1/32 (+ (log -1) (* -3 (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/32 (+ (log -1) (* -3 (log (/ -1 y)))))) (+ (* 1/196608 (pow (+ x (* 2 x)) 3)) (+ (* 1/2048 (* (+ x (* 2 x)) (+ (* -1 (pow (+ x (* 2 x)) 2)) (* 2 (+ (* 2 (pow x 2)) (pow x 2)))))) (* 1/192 (+ (* -6 (* (+ x (* 2 x)) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* 2 (pow (+ x (* 2 x)) 3)) (* 6 (pow x 3)))))))) y)) (* (exp (* 1/32 (+ (log -1) (* -3 (log (/ -1 y)))))) (+ (* 1/2048 (pow (+ x (* 2 x)) 2)) (* 1/64 (+ (* -1 (pow (+ x (* 2 x)) 2)) (* 2 (+ (* 2 (pow x 2)) (pow x 2)))))))) y)) (* 1/32 (* (exp (* 1/32 (+ (log -1) (* -3 (log (/ -1 y)))))) (+ x (* 2 x))))) 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)
(* -1 x)
(neg.f64 x)
(pow (* 1 (pow y 13)) 1/32)
(pow.f64 (pow.f64 y #s(literal 13 binary64)) #s(literal 1/32 binary64))
(+ (* 1/32 (* (pow (* 1 (pow y 13)) 1/32) (* x (- (* 4 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 3))) (/ 1 y))))) (pow (* 1 (pow y 13)) 1/32))
(fma.f64 (.f64 (.f64 (pow.f64 (pow.f64 y #s(literal 13 binary64)) #s(literal 1/32 binary64)) x) (-.f64 (/.f64 (.f64 (.f64 (*.f64 y y) #s(literal -3 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y))) #s(literal 1/32 binary64) (pow.f64 (pow.f64 y #s(literal 13 binary64)) #s(literal 1/32 binary64)))
(+ (* x (+ (* 1/32 (* (pow (* 1 (pow y 13)) 1/32) (- (* 4 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 3))) (/ 1 y)))) (* (pow (* 1 (pow y 13)) 1/32) (* x (+ (* 1/2048 (pow (- (* 4 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 3))) (/ 1 y)) 2)) (* 1/64 (+ (* -1 (/ (pow (+ (* -1 (pow y 12)) (* 4 (* (pow y 10) (+ (* -2 (pow y 2)) (* -1 (pow y 2)))))) 2) (pow y 26))) (* 2 (/ (+ (* -4 (* (pow y 9) (+ (* -2 (pow y 2)) (* -1 (pow y 2))))) (* y (+ (* 2 (* (pow y 6) (+ (* 2 (* (pow y 3) (+ y (* 2 y)))) (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2)))) (* 4 (* (pow y 6) (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2)))))) (pow y 13)))))))))) (pow (* 1 (pow y 13)) 1/32))
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(+ (* x (+ (* 1/32 (* (pow (* 1 (pow y 13)) 1/32) (- (* 4 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 3))) (/ 1 y)))) (* x (+ (* (pow (* 1 (pow y 13)) 1/32) (* x (+ (* 1/196608 (pow (- (* 4 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 3))) (/ 1 y)) 3)) (+ (* 1/2048 (* (+ (* -1 (/ (pow (+ (* -1 (pow y 12)) (* 4 (* (pow y 10) (+ (* -2 (pow y 2)) (* -1 (pow y 2)))))) 2) (pow y 26))) (* 2 (/ (+ (* -4 (* (pow y 9) (+ (* -2 (pow y 2)) (* -1 (pow y 2))))) (* y (+ (* 2 (* (pow y 6) (+ (* 2 (* (pow y 3) (+ y (* 2 y)))) (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2)))) (* 4 (* (pow y 6) (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2)))))) (pow y 13)))) (- (* 4 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 3))) (/ 1 y)))) (* 1/192 (+ (* -6 (/ (* (+ (* -4 (* (pow y 9) (+ (* -2 (pow y 2)) (* -1 (pow y 2))))) (* y (+ (* 2 (* (pow y 6) (+ (* 2 (* (pow y 3) (+ y (* 2 y)))) (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2)))) (* 4 (* (pow y 6) (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2)))))) (+ (* -1 (pow y 12)) (* 4 (* (pow y 10) (+ (* -2 (pow y 2)) (* -1 (pow y 2))))))) (pow y 26))) (+ (* 2 (/ (pow (+ (* -1 (pow y 12)) (* 4 (* (pow y 10) (+ (* -2 (pow y 2)) (* -1 (pow y 2)))))) 3) (pow y 39))) (* 6 (/ (+ (* -1 (+ (* 2 (* (pow y 6) (+ (* 2 (* (pow y 3) (+ y (* 2 y)))) (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2)))) (* 4 (* (pow y 6) (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2))))) (* y (+ (* 2 (* (pow y 6) (+ (* -2 (pow y 3)) (* 2 (* (+ y (* 2 y)) (+ (* -2 (pow y 2)) (* -1 (pow y 2)))))))) (* 4 (* (pow y 3) (* (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (+ (* 2 (* (pow y 3) (+ y (* 2 y)))) (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2)))))))) (pow y 13)))))))))) (* (pow (* 1 (pow y 13)) 1/32) (+ (* 1/2048 (pow (- (* 4 (/ (+ (* -2 (pow y 2)) (* -1 (pow y 2))) (pow y 3))) (/ 1 y)) 2)) (* 1/64 (+ (* -1 (/ (pow (+ (* -1 (pow y 12)) (* 4 (* (pow y 10) (+ (* -2 (pow y 2)) (* -1 (pow y 2)))))) 2) (pow y 26))) (* 2 (/ (+ (* -4 (* (pow y 9) (+ (* -2 (pow y 2)) (* -1 (pow y 2))))) (* y (+ (* 2 (* (pow y 6) (+ (* 2 (* (pow y 3) (+ y (* 2 y)))) (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2)))) (* 4 (* (pow y 6) (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2)))))) (pow y 13))))))))))) (pow (* 1 (pow y 13)) 1/32))
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(pow (* 1 (pow y 3)) 1/32)
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/32 binary64))
(+ (* -3/32 (* (pow (/ 1 (pow y 29)) 1/32) x)) (pow (* 1 (pow y 3)) 1/32))
(fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 29 binary64))) #s(literal 1/32 binary64)) #s(literal -3/32 binary64)) x (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/32 binary64)))
(+ (* x (+ (* -3/32 (pow (/ 1 (pow y 29)) 1/32)) (* (pow (* 1 (pow y 3)) 1/32) (* x (+ (* 1/64 (+ (* -1 (/ (pow (+ (* -2 (pow y 2)) (* -1 (pow y 2))) 2) (pow y 6))) (* 2 (/ (+ y (* 2 y)) (pow y 3))))) (* 9/2048 (/ 1 (pow y 2)))))))) (pow (* 1 (pow y 3)) 1/32))
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(.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/16 binary64)) (sqrt.f64 y)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* y (+ (* 1/2 (* (pow -1 1/16) (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3)))))) (* (pow -1 1/16) (* (sqrt (/ 1 y)) (sqrt -1))))))
(.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal -1 binary64) #s(literal 1/16 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (pow.f64 #s(literal -1 binary64) #s(literal 1/16 binary64)))))
(* -1 (* y (+ (* -1/8 (* (pow -1 1/16) (* (* (pow x 2) (sqrt -1)) (sqrt (/ 1 (pow y 5)))))) (+ (* 1/2 (* (pow -1 1/16) (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3)))))) (* (pow -1 1/16) (* (sqrt (/ 1 y)) (sqrt -1)))))))
(.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 #s(literal -1 binary64) #s(literal 1/16 binary64))) (.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))) (fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal -1 binary64) #s(literal 1/16 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (pow.f64 #s(literal -1 binary64) #s(literal 1/16 binary64))))))
(* -1 (* y (+ (* -1/8 (* (pow -1 1/16) (* (* (pow x 2) (sqrt -1)) (sqrt (/ 1 (pow y 5)))))) (+ (* 1/16 (* (pow -1 1/16) (* (* (pow x 3) (sqrt -1)) (sqrt (/ 1 (pow y 7)))))) (+ (* 1/2 (* (pow -1 1/16) (* (* x (sqrt -1)) (sqrt (/ 1 (pow y 3)))))) (* (pow -1 1/16) (* (sqrt (/ 1 y)) (sqrt -1))))))))
(.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 #s(literal -1 binary64) #s(literal 1/16 binary64))) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 #s(literal -1 binary64) #s(literal 1/16 binary64))) (.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))) (fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 #s(literal -1 binary64) #s(literal 1/16 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (pow.f64 #s(literal -1 binary64) #s(literal 1/16 binary64)))))))
(exp (* 1/32 (+ (log -1) (* -13 (log (/ -1 y))))))
(pow.f64 (exp.f64 #s(literal 1/32 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -13 binary64) (log.f64 #s(literal -1 binary64))))
(+ (exp (* 1/32 (+ (log -1) (* -13 (log (/ -1 y)))))) (* -1/32 (/ (* (exp (* 1/32 (+ (log -1) (* -13 (log (/ -1 y)))))) (+ x (+ (* 4 x) (* 8 x)))) y)))
(fma.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/32 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -13 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 x #s(literal 12 binary64) x) y)) #s(literal -1/32 binary64) (pow.f64 (exp.f64 #s(literal 1/32 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -13 binary64) (log.f64 #s(literal -1 binary64)))))
(+ (exp (* 1/32 (+ (log -1) (* -13 (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/32 (+ (log -1) (* -13 (log (/ -1 y)))))) (+ (* 1/2048 (pow (+ x (+ (* 4 x) (* 8 x))) 2)) (* 1/64 (+ (* -1 (pow (+ x (+ (* 4 x) (* 8 x))) 2)) (* 2 (+ (* 2 (pow (+ x (* 2 x)) 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (+ (* x (+ (* 4 x) (* 8 x))) (pow (+ (* 2 x) (* 4 x)) 2)))))))))) y)) (* 1/32 (* (exp (* 1/32 (+ (log -1) (* -13 (log (/ -1 y)))))) (+ x (+ (* 4 x) (* 8 x)))))) y)))
(-.f64 (pow.f64 (exp.f64 #s(literal 1/32 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -13 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (.f64 (fma.f64 x #s(literal 12 binary64) x) (pow.f64 (exp.f64 #s(literal 1/32 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -13 binary64) (log.f64 #s(literal -1 binary64))))) #s(literal 1/32 binary64) (/.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 2 binary64) (fma.f64 (.f64 x x) #s(literal 12 binary64) (fma.f64 (.f64 x #s(literal 12 binary64)) x (.f64 (.f64 x x) #s(literal 36 binary64))))) #s(literal 2 binary64) (neg.f64 (pow.f64 (fma.f64 x #s(literal 12 binary64) x) #s(literal 2 binary64)))) #s(literal 1/64 binary64) (*.f64 (pow.f64 (fma.f64 x #s(literal 12 binary64) x) #s(literal 2 binary64)) #s(literal 1/2048 binary64))) (pow.f64 (exp.f64 #s(literal 1/32 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -13 binary64) (log.f64 #s(literal -1 binary64))))) (neg.f64 y))) y))
(+ (exp (* 1/32 (+ (log -1) (* -13 (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/32 (+ (log -1) (* -13 (log (/ -1 y)))))) (+ (* 1/196608 (pow (+ x (+ (* 4 x) (* 8 x))) 3)) (+ (* 1/2048 (* (+ x (+ (* 4 x) (* 8 x))) (+ (* -1 (pow (+ x (+ (* 4 x) (* 8 x))) 2)) (* 2 (+ (* 2 (pow (+ x (* 2 x)) 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (+ (* x (+ (* 4 x) (* 8 x))) (pow (+ (* 2 x) (* 4 x)) 2))))))))) (* 1/192 (+ (* -6 (* (+ x (+ (* 4 x) (* 8 x))) (+ (* 2 (pow (+ x (* 2 x)) 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (+ (* x (+ (* 4 x) (* 8 x))) (pow (+ (* 2 x) (* 4 x)) 2))))))) (+ (* 2 (pow (+ x (+ (* 4 x) (* 8 x))) 3)) (* 6 (+ (* 2 (* (+ (* 2 x) (* 4 x)) (+ (* 2 (pow x 2)) (+ (* 4 (pow x 2)) (pow (+ x (* 2 x)) 2))))) (+ (* 4 (* (+ x (* 2 x)) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* 4 (pow x 3)) (* x (+ (* 2 (pow (+ x (* 2 x)) 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (pow (+ (* 2 x) (* 4 x)) 2))))))))))))))) y)) (* (exp (* 1/32 (+ (log -1) (* -13 (log (/ -1 y)))))) (+ (* 1/2048 (pow (+ x (+ (* 4 x) (* 8 x))) 2)) (* 1/64 (+ (* -1 (pow (+ x (+ (* 4 x) (* 8 x))) 2)) (* 2 (+ (* 2 (pow (+ x (* 2 x)) 2)) (+ (* 4 (pow x 2)) (+ (* 8 (pow x 2)) (+ (* x (+ (* 4 x) (* 8 x))) (pow (+ (* 2 x) (* 4 x)) 2))))))))))) y)) (* 1/32 (* (exp (* 1/32 (+ (log -1) (* -13 (log (/ -1 y)))))) (+ x (+ (* 4 x) (* 8 x)))))) y)))
(-.f64 (pow.f64 (exp.f64 #s(literal 1/32 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -13 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (.f64 #s(literal 1/32 binary64) (pow.f64 (exp.f64 #s(literal 1/32 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -13 binary64) (log.f64 #s(literal -1 binary64))))) (fma.f64 x #s(literal 12 binary64) x) (/.f64 (fma.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal 1/32 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -13 binary64) (log.f64 #s(literal -1 binary64))))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -6 binary64) (fma.f64 x #s(literal 12 binary64) x)) (fma.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 2 binary64) (fma.f64 (.f64 x x) #s(literal 12 binary64) (fma.f64 (.f64 x #s(literal 12 binary64)) x (.f64 (.f64 x x) #s(literal 36 binary64))))) (fma.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 6 binary64))) (fma.f64 (.f64 x x) #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal 9 binary64))) (fma.f64 #s(literal 4 binary64) (fma.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal 3 binary64) (.f64 x x)) (pow.f64 x #s(literal 3 binary64))) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 2 binary64) (fma.f64 (.f64 x x) #s(literal 12 binary64) (.f64 (.f64 x x) #s(literal 36 binary64)))) x))) #s(literal 6 binary64) (.f64 (pow.f64 (fma.f64 x #s(literal 12 binary64) x) #s(literal 3 binary64)) #s(literal 2 binary64)))) #s(literal 1/192 binary64) (fma.f64 (.f64 #s(literal 1/2048 binary64) (fma.f64 x #s(literal 12 binary64) x)) (fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 2 binary64) (fma.f64 (.f64 x x) #s(literal 12 binary64) (fma.f64 (.f64 x #s(literal 12 binary64)) x (.f64 (.f64 x x) #s(literal 36 binary64))))) #s(literal 2 binary64) (neg.f64 (pow.f64 (fma.f64 x #s(literal 12 binary64) x) #s(literal 2 binary64)))) (.f64 (pow.f64 (fma.f64 x #s(literal 12 binary64) x) #s(literal 3 binary64)) #s(literal 1/196608 binary64)))) y) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 2 binary64) (fma.f64 (.f64 x x) #s(literal 12 binary64) (fma.f64 (.f64 x #s(literal 12 binary64)) x (.f64 (.f64 x x) #s(literal 36 binary64))))) #s(literal 2 binary64) (neg.f64 (pow.f64 (fma.f64 x #s(literal 12 binary64) x) #s(literal 2 binary64)))) #s(literal 1/64 binary64) (*.f64 (pow.f64 (fma.f64 x #s(literal 12 binary64) x) #s(literal 2 binary64)) #s(literal 1/2048 binary64))) (pow.f64 (exp.f64 #s(literal 1/32 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -13 binary64) (log.f64 #s(literal -1 binary64)))))) (neg.f64 y))) y))
(exp (* 1/32 (+ (log -1) (* -3 (log (/ -1 y))))))
(pow.f64 (exp.f64 #s(literal 1/32 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64) (log.f64 #s(literal -1 binary64))))
(+ (exp (* 1/32 (+ (log -1) (* -3 (log (/ -1 y)))))) (* -1/32 (/ (* (exp (* 1/32 (+ (log -1) (* -3 (log (/ -1 y)))))) (+ x (* 2 x))) y)))
(fma.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/32 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64) (log.f64 #s(literal -1 binary64)))) (.f64 #s(literal 3 binary64) (/.f64 x y))) #s(literal -1/32 binary64) (pow.f64 (exp.f64 #s(literal 1/32 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64) (log.f64 #s(literal -1 binary64)))))
(+ (exp (* 1/32 (+ (log -1) (* -3 (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/32 (+ (log -1) (* -3 (log (/ -1 y)))))) (+ (* 1/2048 (pow (+ x (* 2 x)) 2)) (* 1/64 (+ (* -1 (pow (+ x (* 2 x)) 2)) (* 2 (+ (* 2 (pow x 2)) (pow x 2))))))) y)) (* 1/32 (* (exp (* 1/32 (+ (log -1) (* -3 (log (/ -1 y)))))) (+ x (* 2 x))))) y)))
(-.f64 (pow.f64 (exp.f64 #s(literal 1/32 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/32 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64) (log.f64 #s(literal -1 binary64)))) (.f64 #s(literal 3 binary64) x)) #s(literal 1/32 binary64) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 6 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal 9 binary64)))) #s(literal 1/64 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 9 binary64)) #s(literal 1/2048 binary64))) (pow.f64 (exp.f64 #s(literal 1/32 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64) (log.f64 #s(literal -1 binary64))))) (neg.f64 y))) y))
(+ (exp (* 1/32 (+ (log -1) (* -3 (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/32 (+ (log -1) (* -3 (log (/ -1 y)))))) (+ (* 1/196608 (pow (+ x (* 2 x)) 3)) (+ (* 1/2048 (* (+ x (* 2 x)) (+ (* -1 (pow (+ x (* 2 x)) 2)) (* 2 (+ (* 2 (pow x 2)) (pow x 2)))))) (* 1/192 (+ (* -6 (* (+ x (* 2 x)) (+ (* 2 (pow x 2)) (pow x 2)))) (+ (* 2 (pow (+ x (* 2 x)) 3)) (* 6 (pow x 3)))))))) y)) (* (exp (* 1/32 (+ (log -1) (* -3 (log (/ -1 y)))))) (+ (* 1/2048 (pow (+ x (* 2 x)) 2)) (* 1/64 (+ (* -1 (pow (+ x (* 2 x)) 2)) (* 2 (+ (* 2 (pow x 2)) (pow x 2)))))))) y)) (* 1/32 (* (exp (* 1/32 (+ (log -1) (* -3 (log (/ -1 y)))))) (+ x (* 2 x))))) y)))
(-.f64 (pow.f64 (exp.f64 #s(literal 1/32 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (.f64 #s(literal 1/32 binary64) (pow.f64 (exp.f64 #s(literal 1/32 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64) (log.f64 #s(literal -1 binary64))))) (.f64 #s(literal 3 binary64) x) (/.f64 (fma.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal 1/32 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64) (log.f64 #s(literal -1 binary64))))) (/.f64 (fma.f64 (.f64 #s(literal 1/2048 binary64) (.f64 #s(literal 3 binary64) x)) (fma.f64 (.f64 x x) #s(literal 6 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal 9 binary64)))) (fma.f64 (fma.f64 (.f64 #s(literal -6 binary64) (.f64 #s(literal 3 binary64) x)) (.f64 #s(literal 3 binary64) (.f64 x x)) (fma.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64)))) #s(literal 1/192 binary64) (.f64 (.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/196608 binary64)))) y) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 6 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal 9 binary64)))) #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) #s(literal 9 binary64)) #s(literal 1/2048 binary64))) (pow.f64 (exp.f64 #s(literal 1/32 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64) (log.f64 #s(literal -1 binary64)))))) (neg.f64 y))) y))

rewrite158.0ms (3.7%)

Memory

7.8MiB live, 127.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	48
0	23	41
1	56	41
2	239	41
3	1796	41
0	9898	41

Stop Event

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

Counts

9 → 455

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)
(*.f64 (pow.f64 (-.f64 y x) #s(literal 13/32 binary64)) (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))
(pow.f64 (-.f64 y x) #s(literal 13/32 binary64))
(-.f64 y x)
(pow.f64 (-.f64 y x) #s(literal 3/32 binary64))

Outputs
#s(approx (sqrt (- y x)) (sqrt.f64 y))
(*.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 (neg.f64 (neg.f64 y)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (neg.f64 y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 y) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (neg.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 #s(literal 1/2 binary64)) (log.f64 y))
(pow.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 1/2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1/4 binary64))
(pow.f64 y #s(literal 1/2 binary64))
(sqrt.f64 y)
(fabs.f64 (sqrt.f64 y))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 1/4 binary64) (*.f64 (log.f64 y) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (sqrt.f64 y)))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (sinh.f64 (log.f64 (sqrt.f64 y))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 #s(approx (- y x) (neg.f64 x)) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 #s(approx (- y x) (neg.f64 x)) #s(literal 1/4 binary64)))))
(*.f64 (neg.f64 (pow.f64 #s(approx (- y x) (neg.f64 x)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (- y x) (neg.f64 x)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(approx (- y x) (neg.f64 x)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- y x) (neg.f64 x)) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(approx (- y x) (neg.f64 x))))
(pow.f64 (neg.f64 (pow.f64 #s(approx (- y x) (neg.f64 x)) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(approx (- y x) (neg.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (- y x) (neg.f64 x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (- y x) (neg.f64 x)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
(fabs.f64 (sqrt.f64 #s(approx (- y x) (neg.f64 x))))
(exp.f64 (fma.f64 (log.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (- y x) (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (- y x) (neg.f64 x)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (sqrt.f64 #s(approx (- y x) (neg.f64 x)))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- y x) (neg.f64 x))))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- y x) (neg.f64 x))))))
#s(approx (- y x) (neg.f64 x))
(exp.f64 (log.f64 #s(approx (- y x) (neg.f64 x))))
(+.f64 (cosh.f64 (log.f64 #s(approx (- y x) (neg.f64 x)))) (sinh.f64 (log.f64 #s(approx (- y x) (neg.f64 x)))))
(neg.f64 x)
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal 51/128 binary64))) (/.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal 13/128 binary64))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal 61/128 binary64))) (/.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal 3/128 binary64))))
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(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))) (/.f64 (.f64 (.f64 (neg.f64 x) x) x) (neg.f64 (fma.f64 x (-.f64 x y) (.f64 y y)))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))) (/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))) (/.f64 (.f64 (.f64 (neg.f64 x) x) x) (fma.f64 x (-.f64 x y) (.f64 y y))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))))
(-.f64 y x)
(exp.f64 (log.f64 (-.f64 y x)))
(+.f64 (cosh.f64 (log.f64 (-.f64 y x))) (sinh.f64 (log.f64 (-.f64 y x))))
(+.f64 (.f64 y (/.f64 y (-.f64 y x))) (.f64 x (/.f64 x (-.f64 y x))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) x (.f64 y y))))
(+.f64 (neg.f64 y) (neg.f64 x))
(+.f64 (neg.f64 x) (neg.f64 y))
(+.f64 x y)
(+.f64 y x)
(*.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 3/64 binary64))))) (neg.f64 (neg.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 3/64 binary64))))))
(*.f64 (fabs.f64 (pow.f64 (-.f64 y x) #s(literal 9/128 binary64))) (pow.f64 (-.f64 y x) #s(literal 3/128 binary64)))
(*.f64 (pow.f64 (hypot.f64 x y) #s(literal 3/64 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 3/64 binary64)))
(.f64 (pow.f64 (/.f64 (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 3/32 binary64)) (pow.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) #s(literal 3/32 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y x) x) #s(literal 2 binary64)))) #s(literal 3/32 binary64)) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal 3/32 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) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) #s(literal 3/32 binary64)) (pow.f64 (fma.f64 (.f64 (-.f64 y x) x) (-.f64 (.f64 (-.f64 y x) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) #s(literal 3/32 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 3/32 binary64)) (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))
(.f64 (pow.f64 (fma.f64 (-.f64 y x) x (.f64 y y)) #s(literal 3/32 binary64)) (pow.f64 (/.f64 (-.f64 y x) (fma.f64 x (-.f64 x y) (*.f64 y y))) #s(literal 3/32 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 9/128 binary64)) (pow.f64 (-.f64 y x) #s(literal 3/128 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 3/64 binary64)))) (neg.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 3/64 binary64)))))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 3/128 binary64)) (fabs.f64 (pow.f64 (-.f64 y x) #s(literal 9/128 binary64))))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 3/128 binary64)) (pow.f64 (-.f64 y x) #s(literal 9/128 binary64)))
(*.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 3/64 binary64))) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 3/64 binary64))))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 3/64 binary64)) (pow.f64 (-.f64 y x) #s(literal 3/64 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)) (pow.f64 (/.f64 (-.f64 y x) (-.f64 y x)) #s(literal 3/32 binary64)))
(pow.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/128 binary64))
(pow.f64 (neg.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 3/64 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3/32 binary64)) (log.f64 (-.f64 y x)))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/128 binary64)) #s(literal 4 binary64))
(pow.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 3/64 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/64 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 3/64 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)) #s(literal 1 binary64))
(pow.f64 (-.f64 y x) #s(literal 3/32 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))))) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))) (sinh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))))))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/32 binary64))))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/32 binary64))))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/32 binary64))))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/32 binary64))))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))) (sinh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))))))))
(/.f64 (pow.f64 (exp.f64 #s(literal 3/32 binary64)) (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))
(/.f64 (pow.f64 (exp.f64 #s(literal 3/32 binary64)) (log.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (exp.f64 #s(literal 3/32 binary64)) (log.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(/.f64 (pow.f64 (exp.f64 #s(literal 3/32 binary64)) (log.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (exp.f64 #s(literal 3/32 binary64)) (log.f64 (fma.f64 (-.f64 y x) x (*.f64 y y)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))) (sinh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/32 binary64))))))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal 3/32 binary64))))
(neg.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 3/64 binary64))) (pow.f64 (-.f64 y x) #s(literal 3/64 binary64))))
(neg.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 3/64 binary64)) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 3/64 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)) (pow.f64 (-.f64 y x) #s(literal 3/32 binary64))))
(-.f64 (/.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))) (/.f64 (pow.f64 (sinh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))))
(fabs.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 3/32 binary64))))
(fabs.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 3/64 binary64))) (pow.f64 (-.f64 y x) #s(literal 3/64 binary64))))
(fabs.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 3/64 binary64)) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 3/64 binary64)))))
(fabs.f64 (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 3/32 binary64))) (log.f64 (-.f64 y x))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 3/64 binary64)))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/32 binary64))))
(+.f64 (sinh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))) (cosh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))) (sinh.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))))

eval152.0ms (3.5%)

Memory: 9.5MiB live, 117.0MiB allocated
Compiler: Compiled 22 865 to 2 592 computations (88.7% saved)

prune32.0ms (0.7%)

Memory

-14.3MiB live, 33.5MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	688	0	688
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	688	4	692

Accuracy

100.0%

Counts

692 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(*.f64 (pow.f64 (-.f64 y x) #s(literal 13/32 binary64)) (pow.f64 (-.f64 y x) #s(literal 3/32 binary64)))
✓	100.0%	(sqrt.f64 (-.f64 y x))
✓	57.0%	(sqrt.f64 #s(approx (- y x) (neg.f64 x)))
✓	44.2%	#s(approx (sqrt (- y x)) (sqrt.f64 y))

Compiler

Compiled 76 to 50 computations (34.2% saved)

regimes12.0ms (0.3%)

Memory

15.1MiB live, 15.1MiB allocated

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)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 13/32 binary64)) (pow.f64 (-.f64 y x) #s(literal 3/32 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)))

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

Calls

5 calls:

2.0ms	(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	`x`
100.0%	1	`y`
100.0%	1	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
100.0%	1	`(fabs.f64 (-.f64 x y))`
100.0%	1	`(-.f64 x y)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes7.0ms (0.2%)

Memory

15.2MiB live, 15.2MiB allocated

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

Results

Accuracy	Segments	Branch
86.6%	2	`x`
84.1%	2	`y`
57.0%	1	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
57.0%	1	`(fabs.f64 (-.f64 x y))`
57.0%	1	`(-.f64 x y)`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes98.0ms (2.3%)

Memory

-21.1MiB live, 16.8MiB allocated

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:

94.0ms	y
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
1.0ms	(-.f64 x y)
1.0ms	(fabs.f64 (-.f64 x y))
1.0ms	x

Results

Accuracy	Segments	Branch
44.2%	1	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
44.2%	1	`(fabs.f64 (-.f64 x y))`
44.2%	1	`(-.f64 x y)`
44.2%	1	`y`
44.2%	1	`x`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch11.0ms (0.2%)

Memory

14.3MiB live, 14.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-1.9232842247540702e-142	-5.143777589418308e-145

Samples

5.0ms

128×

valid

Compiler

Compiled 120 to 122 computations (-1.7% saved)

Precisions

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

ival-sub: 1.0ms (39.9% of total)

ival-fabs: 1.0ms (39.9% of total)

ival-sqrt: 1.0ms (39.9% of total)

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

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

simplify106.0ms (2.5%)

Memory

-22.8MiB live, 14.4MiB allocated

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 x #s(literal -4041992862284903/439347050248359021758841651141209165905243859209171546201245661387874763737449987335843817002333091518546963929054774914375807231981865204004737810631363657728 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 x #s(literal -4041992862284903/439347050248359021758841651141209165905243859209171546201245661387874763737449987335843817002333091518546963929054774914375807231981865204004737810631363657728 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))

soundness371.0ms (8.6%)

Memory

7.3MiB live, 165.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	795	3870
1	2937	3642
0	8366	3462
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 72 to 52 computations (27.8% saved)

preprocess69.0ms (1.6%)

Memory: 17.0MiB live, 55.5MiB allocated
Compiler: Compiled 76 to 46 computations (39.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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%)

sample912.0ms (21.1%)

explain148.0ms (3.4%)

preprocess62.0ms (1.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize64.0ms (1.5%)

series3.0ms (0.1%)

simplify142.0ms (3.3%)

rewrite139.0ms (3.2%)

eval61.0ms (1.4%)

prune12.0ms (0.3%)

simplify4.0ms (0.1%)

localize77.0ms (1.8%)

series216.0ms (5%)

simplify309.0ms (7.1%)

rewrite181.0ms (4.2%)

eval199.0ms (4.6%)

prune30.0ms (0.7%)

simplify4.0ms (0.1%)

localize75.0ms (1.7%)

series263.0ms (6.1%)

simplify411.0ms (9.5%)

rewrite158.0ms (3.7%)

eval152.0ms (3.5%)

prune32.0ms (0.7%)

regimes12.0ms (0.3%)

regimes7.0ms (0.2%)

regimes98.0ms (2.3%)

bsearch11.0ms (0.2%)

simplify106.0ms (2.5%)

soundness371.0ms (8.6%)

preprocess69.0ms (1.6%)

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