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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample641.0ms (44.2%)

Memory

-12.9MiB live, 935.2MiB allocated; 203ms collecting garbage

Samples

440.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 228.0ms

ival-sub: 109.0ms (47.8% of total)

ival-sqrt: 58.0ms (25.4% of total)

ival-fabs: 57.0ms (25% of total)

ival-assert: 3.0ms (1.3% of total)

adjust: 2.0ms (0.9% of total)

Bogosity

explain52.0ms (3.6%)

Memory

-4.6MiB live, 95.1MiB allocated; 12ms collecting garbage

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

25.0ms

512×

valid

Compiler

Compiled 37 to 19 computations (48.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-sqrt: 7.0ms (53.5% of total)

ival-sub: 3.0ms (22.9% of total)

ival-fabs: 3.0ms (22.9% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess14.0ms (1%)

Memory

26.3MiB live, 26.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	36
1	30	36
2	45	36
3	93	36
4	176	36
5	232	36
0	5	5
0	8	5
1	12	5
2	17	5
3	31	5
4	58	5
5	80	5
0	80	5

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x y)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 5 computations (0% saved)

series6.0ms (0.4%)

Memory

-37.9MiB live, 8.8MiB allocated; 3ms collecting garbage

Counts

5 → 16

Calls

Call 1

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

Outputs
#s(approx (sqrt (fabs (- x y))) #s(hole binary64 (sqrt (fabs (- x y)))))
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (- x y))))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx x #s(hole binary64 x))
#s(approx (- x y) #s(hole binary64 x))
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x))))))
#s(approx (sqrt (fabs (- x y))) #s(hole binary64 (sqrt (fabs (neg (+ y (* -1 x)))))))
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (neg (+ y (* -1 x))))))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx y #s(hole binary64 y))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (sqrt (fabs (- x y))) #s(hole binary64 (sqrt (fabs (+ x (* -1 y))))))
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (+ x (* -1 y)))))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) x y)
1.0ms	y	@	inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) x y)
1.0ms	y	@	0	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) x y)
1.0ms	x	@	inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) x y)
1.0ms	y	@	-inf	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) x y)

rewrite143.0ms (9.9%)

Memory

20.5MiB live, 204.7MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	170
0	52	154
1	199	152
2	1505	135
0	9010	135

Stop Event

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

Counts

21 → 227

Calls

Call 1

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

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

eval11.0ms (0.7%)

Memory: 13.4MiB live, 13.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 212 to 399 computations (82% saved)

prune4.0ms (0.2%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	125	3	128
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	126	3	129

Accuracy

100.0%

Counts

129 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
▶	100.0%	(sqrt.f64 (-.f64 y x))
▶	49.6%	(sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) x)))

Compiler

Compiled 19 to 18 computations (5.3% saved)

series23.0ms (1.6%)

Memory

-27.9MiB live, 17.5MiB allocated; 4ms collecting garbage

Counts

11 → 83

Calls

Call 1

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

Outputs
#s(approx (sqrt (fabs (fabs (- x y)))) #s(hole binary64 (sqrt (fabs (fabs (- x y))))))
#s(approx (fabs (fabs (- x y))) #s(hole binary64 (fabs (fabs (- x y)))))
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (- x y))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (- y x)) #s(hole binary64 (sqrt y)))
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))))
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))))
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))))
#s(approx (- y x) #s(hole binary64 y))
#s(approx (- y x) #s(hole binary64 (+ y (* -1 x))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (sqrt y)))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))))
#s(approx (pow (- y x) 1/4) #s(hole binary64 (pow (* 1 y) 1/4)))
#s(approx (pow (- y x) 1/4) #s(hole binary64 (+ (* -1/4 (* (pow (/ 1 (pow y 3)) 1/4) x)) (pow (* 1 y) 1/4))))
#s(approx (pow (- y x) 1/4) #s(hole binary64 (+ (* x (+ (* -1/4 (pow (/ 1 (pow y 3)) 1/4)) (* -3/32 (* (pow (/ 1 (pow y 7)) 1/4) x)))) (pow (* 1 y) 1/4))))
#s(approx (pow (- y x) 1/4) #s(hole binary64 (+ (* x (+ (* -1/4 (pow (/ 1 (pow y 3)) 1/4)) (* x (+ (* -3/32 (pow (/ 1 (pow y 7)) 1/4)) (* -7/128 (* (pow (/ 1 (pow y 11)) 1/4) x)))))) (pow (* 1 y) 1/4))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* (sqrt x) (sqrt -1))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* 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)))))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* 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))))))))
#s(approx (- y x) #s(hole binary64 (* -1 x)))
#s(approx (- y x) #s(hole binary64 (* x (- (/ y x) 1))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* (sqrt x) (sqrt -1))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* 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)))))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* 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))))))))
#s(approx (pow (- y x) 1/4) #s(hole binary64 (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 x))))))))
#s(approx (pow (- y x) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 x)))))) (* -1/4 (/ (* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 x))))))) x)))))
#s(approx (pow (- y x) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 x)))))) (+ (* -1/4 (/ (* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 x))))))) x)) (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 x)))))) (+ (* -1/8 (pow y 2)) (* 1/32 (pow y 2)))) (pow x 2))))))
#s(approx (pow (- y x) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 x)))))) (+ (* -1/4 (/ (* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 x))))))) x)) (+ (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 x)))))) (+ (* -1/8 (pow y 2)) (* 1/32 (pow y 2)))) (pow x 2)) (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 x)))))) (+ (* -1/12 (pow y 3)) (+ (* -1/384 (pow y 3)) (* 1/32 (pow y 3))))) (pow x 3)))))))
#s(approx (sqrt (fabs (fabs (- x y)))) #s(hole binary64 (sqrt (fabs (fabs (neg (+ y (* -1 x))))))))
#s(approx (fabs (fabs (- x y))) #s(hole binary64 (fabs (fabs (neg (+ y (* -1 x)))))))
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (neg (+ y (* -1 x))))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1)))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (- y x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ y x)))))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1)))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (pow (- y x) 1/4) #s(hole binary64 (pow (* -1 x) 1/4)))
#s(approx (pow (- y x) 1/4) #s(hole binary64 (+ (* -1/4 (* (pow (/ -1 (pow x 3)) 1/4) y)) (pow (* -1 x) 1/4))))
#s(approx (pow (- y x) 1/4) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow x 3)) 1/4) (+ (* -1/8 (pow y 2)) (* 1/32 (pow y 2))))) (* 1/4 (* (pow (* -1 x) 1/4) y))) x)) (pow (* -1 x) 1/4))))
#s(approx (pow (- y x) 1/4) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow x 3)) 1/4) (+ (* -1/32 (pow y 3)) (+ (* 1/384 (pow y 3)) (* 1/12 (pow y 3)))))) (* (pow (* -1 x) 1/4) (+ (* -1/8 (pow y 2)) (* 1/32 (pow y 2))))) x)) (* 1/4 (* (pow (* -1 x) 1/4) y))) x)) (pow (* -1 x) 1/4))))
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))))
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (* 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)))))
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (* 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)))))
#s(approx (- y x) #s(hole binary64 (- y x)))
#s(approx y #s(hole binary64 y))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (+ (* 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)))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (+ (* 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)))))
#s(approx (pow (- y x) 1/4) #s(hole binary64 (+ (* y (+ (* -1/4 (pow (/ -1 (pow x 3)) 1/4)) (* -3/32 (* (pow (/ -1 (pow x 7)) 1/4) y)))) (pow (* -1 x) 1/4))))
#s(approx (pow (- y x) 1/4) #s(hole binary64 (+ (* y (+ (* -1/4 (pow (/ -1 (pow x 3)) 1/4)) (* y (+ (* -3/32 (pow (/ -1 (pow x 7)) 1/4)) (* -7/128 (* (pow (/ -1 (pow x 11)) 1/4) y)))))) (pow (* -1 x) 1/4))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* 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)))))))))))
#s(approx (- y x) #s(hole binary64 (* y (+ 1 (* -1 (/ x y))))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* 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)))))))))))
#s(approx (pow (- y x) 1/4) #s(hole binary64 (+ (* -1/4 (* (pow (/ 1 (pow y 3)) 1/4) x)) (+ (* (pow (/ 1 (pow y 7)) 1/4) (+ (* -1/8 (pow x 2)) (* 1/32 (pow x 2)))) (pow (* 1 y) 1/4)))))
#s(approx (pow (- y x) 1/4) #s(hole binary64 (+ (* -1/4 (* (pow (/ 1 (pow y 3)) 1/4) x)) (+ (* (pow (/ 1 (pow y 7)) 1/4) (+ (* -1/8 (pow x 2)) (* 1/32 (pow x 2)))) (+ (* (pow (/ 1 (pow y 11)) 1/4) (+ (* -1/12 (pow x 3)) (+ (* -1/384 (pow x 3)) (* 1/32 (pow x 3))))) (pow (* 1 y) 1/4))))))
#s(approx (sqrt (fabs (fabs (- x y)))) #s(hole binary64 (sqrt (fabs (fabs (+ x (* -1 y)))))))
#s(approx (fabs (fabs (- x y))) #s(hole binary64 (fabs (fabs (+ x (* -1 y))))))
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (+ x (* -1 y)))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* (sqrt y) (pow (sqrt -1) 2)))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))))
#s(approx (- y x) #s(hole binary64 (* -1 (* y (- (/ x y) 1)))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* -1 (* (sqrt y) (pow (sqrt -1) 2)))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* -1/16 (* (/ (pow x 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow y 7))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))))
#s(approx (pow (- y x) 1/4) #s(hole binary64 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y))))))))
#s(approx (pow (- y x) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1/4 (/ (* x (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y))))))) y)))))
#s(approx (pow (- y x) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (+ (* -1/8 (pow x 2)) (* 1/32 (pow x 2)))) y)) (* 1/4 (* x (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y))))))))) y)))))
#s(approx (pow (- y x) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (+ (* -1/32 (pow x 3)) (+ (* 1/384 (pow x 3)) (* 1/12 (pow x 3))))) y)) (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (+ (* -1/8 (pow x 2)) (* 1/32 (pow x 2))))) y)) (* 1/4 (* x (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y))))))))) y)))))

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	y	@	inf	((sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) x (sqrt (- y x)) (- y x) y (pow (pow (- y x) 1/4) 2) (pow (- y x) 1/4) 1/4 2)
3.0ms	y	@	-inf	((sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) x (sqrt (- y x)) (- y x) y (pow (pow (- y x) 1/4) 2) (pow (- y x) 1/4) 1/4 2)
3.0ms	x	@	inf	((sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) x (sqrt (- y x)) (- y x) y (pow (pow (- y x) 1/4) 2) (pow (- y x) 1/4) 1/4 2)
2.0ms	x	@	-inf	((sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) x (sqrt (- y x)) (- y x) y (pow (pow (- y x) 1/4) 2) (pow (- y x) 1/4) 1/4 2)
2.0ms	y	@	0	((sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) x (sqrt (- y x)) (- y x) y (pow (pow (- y x) 1/4) 2) (pow (- y x) 1/4) 1/4 2)

rewrite107.0ms (7.4%)

Memory

44.9MiB live, 88.8MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	458	2771
0	464	2281
0	2590	2181

Stop Event

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

Counts

94 → 111

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) x)))
(fabs.f64 #s(approx (fabs (- x y)) x))
#s(approx (fabs (- x y)) x)
x
(sqrt.f64 (-.f64 y x))
(-.f64 y x)
y
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
#s(literal 2 binary64)
#s(approx (sqrt (fabs (fabs (- x y)))) #s(hole binary64 (sqrt (fabs (fabs (- x y))))))
#s(approx (fabs (fabs (- x y))) #s(hole binary64 (fabs (fabs (- x y)))))
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (- x y))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (- y x)) #s(hole binary64 (sqrt y)))
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))))
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))))
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))))
#s(approx (- y x) #s(hole binary64 y))
#s(approx (- y x) #s(hole binary64 (+ y (* -1 x))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (sqrt y)))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))))
#s(approx (pow (- y x) 1/4) #s(hole binary64 (pow (* 1 y) 1/4)))
#s(approx (pow (- y x) 1/4) #s(hole binary64 (+ (* -1/4 (* (pow (/ 1 (pow y 3)) 1/4) x)) (pow (* 1 y) 1/4))))
#s(approx (pow (- y x) 1/4) #s(hole binary64 (+ (* x (+ (* -1/4 (pow (/ 1 (pow y 3)) 1/4)) (* -3/32 (* (pow (/ 1 (pow y 7)) 1/4) x)))) (pow (* 1 y) 1/4))))
#s(approx (pow (- y x) 1/4) #s(hole binary64 (+ (* x (+ (* -1/4 (pow (/ 1 (pow y 3)) 1/4)) (* x (+ (* -3/32 (pow (/ 1 (pow y 7)) 1/4)) (* -7/128 (* (pow (/ 1 (pow y 11)) 1/4) x)))))) (pow (* 1 y) 1/4))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* (sqrt x) (sqrt -1))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* 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)))))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* 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))))))))
#s(approx (- y x) #s(hole binary64 (* -1 x)))
#s(approx (- y x) #s(hole binary64 (* x (- (/ y x) 1))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* (sqrt x) (sqrt -1))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* 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)))))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* 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))))))))
#s(approx (pow (- y x) 1/4) #s(hole binary64 (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 x))))))))
#s(approx (pow (- y x) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 x)))))) (* -1/4 (/ (* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 x))))))) x)))))
#s(approx (pow (- y x) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 x)))))) (+ (* -1/4 (/ (* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 x))))))) x)) (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 x)))))) (+ (* -1/8 (pow y 2)) (* 1/32 (pow y 2)))) (pow x 2))))))
#s(approx (pow (- y x) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 x)))))) (+ (* -1/4 (/ (* y (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 x))))))) x)) (+ (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 x)))))) (+ (* -1/8 (pow y 2)) (* 1/32 (pow y 2)))) (pow x 2)) (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ 1 x)))))) (+ (* -1/12 (pow y 3)) (+ (* -1/384 (pow y 3)) (* 1/32 (pow y 3))))) (pow x 3)))))))
#s(approx (sqrt (fabs (fabs (- x y)))) #s(hole binary64 (sqrt (fabs (fabs (neg (+ y (* -1 x))))))))
#s(approx (fabs (fabs (- x y))) #s(hole binary64 (fabs (fabs (neg (+ y (* -1 x)))))))
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (neg (+ y (* -1 x))))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1)))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (- y x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ y x)))))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1)))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (pow (- y x) 1/4) #s(hole binary64 (pow (* -1 x) 1/4)))
#s(approx (pow (- y x) 1/4) #s(hole binary64 (+ (* -1/4 (* (pow (/ -1 (pow x 3)) 1/4) y)) (pow (* -1 x) 1/4))))
#s(approx (pow (- y x) 1/4) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow x 3)) 1/4) (+ (* -1/8 (pow y 2)) (* 1/32 (pow y 2))))) (* 1/4 (* (pow (* -1 x) 1/4) y))) x)) (pow (* -1 x) 1/4))))
#s(approx (pow (- y x) 1/4) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow (/ -1 (pow x 3)) 1/4) (+ (* -1/32 (pow y 3)) (+ (* 1/384 (pow y 3)) (* 1/12 (pow y 3)))))) (* (pow (* -1 x) 1/4) (+ (* -1/8 (pow y 2)) (* 1/32 (pow y 2))))) x)) (* 1/4 (* (pow (* -1 x) 1/4) y))) x)) (pow (* -1 x) 1/4))))
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))))
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (* 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)))))
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (* 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)))))
#s(approx (- y x) #s(hole binary64 (- y x)))
#s(approx y #s(hole binary64 y))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (+ (* 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)))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (+ (* 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)))))
#s(approx (pow (- y x) 1/4) #s(hole binary64 (+ (* y (+ (* -1/4 (pow (/ -1 (pow x 3)) 1/4)) (* -3/32 (* (pow (/ -1 (pow x 7)) 1/4) y)))) (pow (* -1 x) 1/4))))
#s(approx (pow (- y x) 1/4) #s(hole binary64 (+ (* y (+ (* -1/4 (pow (/ -1 (pow x 3)) 1/4)) (* y (+ (* -3/32 (pow (/ -1 (pow x 7)) 1/4)) (* -7/128 (* (pow (/ -1 (pow x 11)) 1/4) y)))))) (pow (* -1 x) 1/4))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* 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)))))))))))
#s(approx (- y x) #s(hole binary64 (* y (+ 1 (* -1 (/ x y))))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* 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)))))))))))
#s(approx (pow (- y x) 1/4) #s(hole binary64 (+ (* -1/4 (* (pow (/ 1 (pow y 3)) 1/4) x)) (+ (* (pow (/ 1 (pow y 7)) 1/4) (+ (* -1/8 (pow x 2)) (* 1/32 (pow x 2)))) (pow (* 1 y) 1/4)))))
#s(approx (pow (- y x) 1/4) #s(hole binary64 (+ (* -1/4 (* (pow (/ 1 (pow y 3)) 1/4) x)) (+ (* (pow (/ 1 (pow y 7)) 1/4) (+ (* -1/8 (pow x 2)) (* 1/32 (pow x 2)))) (+ (* (pow (/ 1 (pow y 11)) 1/4) (+ (* -1/12 (pow x 3)) (+ (* -1/384 (pow x 3)) (* 1/32 (pow x 3))))) (pow (* 1 y) 1/4))))))
#s(approx (sqrt (fabs (fabs (- x y)))) #s(hole binary64 (sqrt (fabs (fabs (+ x (* -1 y)))))))
#s(approx (fabs (fabs (- x y))) #s(hole binary64 (fabs (fabs (+ x (* -1 y))))))
#s(approx (fabs (- x y)) #s(hole binary64 (fabs (+ x (* -1 y)))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* (sqrt y) (pow (sqrt -1) 2)))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))))
#s(approx (- y x) #s(hole binary64 (* -1 (* y (- (/ x y) 1)))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* -1 (* (sqrt y) (pow (sqrt -1) 2)))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* -1/16 (* (/ (pow x 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow y 7))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))))
#s(approx (pow (- y x) 1/4) #s(hole binary64 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y))))))))
#s(approx (pow (- y x) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1/4 (/ (* x (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y))))))) y)))))
#s(approx (pow (- y x) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (+ (* -1/8 (pow x 2)) (* 1/32 (pow x 2)))) y)) (* 1/4 (* x (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y))))))))) y)))))
#s(approx (pow (- y x) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (+ (* -1/32 (pow x 3)) (+ (* 1/384 (pow x 3)) (* 1/12 (pow x 3))))) y)) (* (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))) (+ (* -1/8 (pow x 2)) (* 1/32 (pow x 2))))) y)) (* 1/4 (* x (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y))))))))) y)))))

Outputs
(pow.f64 (fabs.f64 #s(approx (fabs (fabs (- x y))) x)) #s(literal 1/2 binary64))
(sqrt.f64 (fabs.f64 #s(approx (fabs (fabs (- x y))) x)))
(sqrt.f64 (*.f64 #s(approx (fabs (fabs (- x y))) x) #s(approx (fabs (fabs (- x y))) x)))
(fabs.f64 (neg.f64 #s(approx (fabs (fabs (- x y))) x)))
(fabs.f64 #s(approx (fabs (fabs (- x y))) x))
#s(approx (fabs (fabs (- x y))) x)
x
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 y x) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 y x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (+.f64 y x))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (fma.f64 x x (*.f64 y x))))
(-.f64 y x)
y
(*.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 y x) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 y x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/8 binary64)))
(pow.f64 (-.f64 y x) #s(literal 1/4 binary64))
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/4 binary64)))
#s(literal 1/4 binary64)
#s(literal 2 binary64)
#s(approx (sqrt (fabs (fabs (- x y)))) (sqrt.f64 (fabs.f64 (-.f64 y x))))
#s(approx (fabs (fabs (- x y))) (fabs.f64 (-.f64 y x)))
#s(approx (fabs (fabs (- x y))) (fabs.f64 (-.f64 y x)))
#s(approx x x)
#s(approx (pow (pow (- y x) 1/4) 2) (sqrt.f64 y))
#s(approx (pow (pow (- y x) 1/4) 2) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x) #s(literal -1/2 binary64) (sqrt.f64 y)))
#s(approx (pow (pow (- y x) 1/4) 2) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (pow.f64 y #s(literal -3 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -1/2 binary64))) x (sqrt.f64 y)))
#s(approx (pow (pow (- y x) 1/4) 2) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) x) (sqrt.f64 (pow.f64 y #s(literal -5 binary64))) (.f64 (sqrt.f64 (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64))) x (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -1/2 binary64))) x (sqrt.f64 y)))
#s(approx (- y x) y)
#s(approx (- y x) (fma.f64 #s(literal -1 binary64) x y))
#s(approx (pow (pow (- y x) 1/4) 2) (sqrt.f64 y))
#s(approx (pow (pow (- y x) 1/4) 2) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x) #s(literal -1/2 binary64) (sqrt.f64 y)))
#s(approx (pow (pow (- y x) 1/4) 2) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (pow.f64 y #s(literal -3 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -1/2 binary64))) x (sqrt.f64 y)))
#s(approx (pow (pow (- y x) 1/4) 2) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) x) (sqrt.f64 (pow.f64 y #s(literal -5 binary64))) (.f64 (sqrt.f64 (pow.f64 y #s(literal -3 binary64))) #s(literal -1/8 binary64))) x (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -1/2 binary64))) x (sqrt.f64 y)))
#s(approx (pow (- y x) 1/4) (pow.f64 y #s(literal 1/4 binary64)))
#s(approx (pow (- y x) 1/4) (fma.f64 (*.f64 (pow.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/4 binary64)) x) #s(literal -1/4 binary64) (pow.f64 y #s(literal 1/4 binary64))))
#s(approx (pow (- y x) 1/4) (fma.f64 (fma.f64 (.f64 (pow.f64 (pow.f64 y #s(literal -7 binary64)) #s(literal 1/4 binary64)) x) #s(literal -3/32 binary64) (.f64 (pow.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/4 binary64)) #s(literal -1/4 binary64))) x (pow.f64 y #s(literal 1/4 binary64))))
#s(approx (pow (- y x) 1/4) (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (pow.f64 y #s(literal -11 binary64)) #s(literal 1/4 binary64)) x) #s(literal -7/128 binary64) (.f64 (pow.f64 (pow.f64 y #s(literal -7 binary64)) #s(literal 1/4 binary64)) #s(literal -3/32 binary64))) x (*.f64 (pow.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/4 binary64)) #s(literal -1/4 binary64))) x (pow.f64 y #s(literal 1/4 binary64))))
#s(approx (pow (pow (- y x) 1/4) 2) (sqrt.f64 (neg.f64 x)))
#s(approx (pow (pow (- y x) 1/4) 2) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) x))
#s(approx (pow (pow (- y x) 1/4) 2) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (.f64 y y) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))) x))
#s(approx (pow (pow (- y x) 1/4) 2) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (.f64 y y) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))))) x))
#s(approx (- y x) (neg.f64 x))
#s(approx (- y x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x))
#s(approx (pow (pow (- y x) 1/4) 2) (sqrt.f64 (neg.f64 x)))
#s(approx (pow (pow (- y x) 1/4) 2) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) x))
#s(approx (pow (pow (- y x) 1/4) 2) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (.f64 y y) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))) x))
#s(approx (pow (pow (- y x) 1/4) 2) (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 (.f64 y y) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))))) x))
#s(approx (pow (- y x) 1/4) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (pow (- y x) 1/4) (fma.f64 (*.f64 y (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) x)) #s(literal -1/4 binary64) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))))
#s(approx (pow (- y x) 1/4) (+.f64 (fma.f64 (.f64 y (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) x)) #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 y y) #s(literal -3/32 binary64)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))) (*.f64 x x))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))))
#s(approx (pow (- y x) 1/4) (+.f64 (fma.f64 (.f64 y (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) x)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 (.f64 (.f64 y y) #s(literal -3/32 binary64)) (.f64 x x)) (/.f64 (.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 y #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 11/384 binary64))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))))
#s(approx (sqrt (fabs (fabs (- x y)))) (sqrt.f64 (fabs.f64 (fma.f64 #s(literal -1 binary64) x y))))
#s(approx (fabs (fabs (- x y))) (fabs.f64 (fma.f64 #s(literal -1 binary64) x y)))
#s(approx (fabs (fabs (- x y))) (fabs.f64 (fma.f64 #s(literal -1 binary64) x y)))
#s(approx (pow (pow (- y x) 1/4) 2) (neg.f64 (sqrt.f64 (neg.f64 x))))
#s(approx (pow (pow (- y x) 1/4) 2) (.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) y) (sqrt.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (pow (pow (- y x) 1/4) 2) (.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (.f64 (.f64 y y) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) y) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))))))
#s(approx (pow (pow (- y x) 1/4) 2) (.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (.f64 (.f64 y y) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) y) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))))))
#s(approx (- y x) (*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (pow (pow (- y x) 1/4) 2) (neg.f64 (sqrt.f64 (neg.f64 x))))
#s(approx (pow (pow (- y x) 1/4) 2) (.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) y) (sqrt.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (pow (pow (- y x) 1/4) 2) (.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (.f64 (.f64 y y) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) y) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))))))
#s(approx (pow (pow (- y x) 1/4) 2) (.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (.f64 (.f64 y y) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) y) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))))))
#s(approx (pow (- y x) 1/4) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
#s(approx (pow (- y x) 1/4) (fma.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) y) #s(literal -1/4 binary64) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64))))
#s(approx (pow (- y x) 1/4) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64))) y (neg.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (.f64 (.f64 y y) #s(literal -3/32 binary64))))) x) #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64))))
#s(approx (pow (- y x) 1/4) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64))) y (neg.f64 (/.f64 (fma.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (.f64 (.f64 y y) #s(literal -3/32 binary64)) (neg.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 11/128 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64))))) x))) x) #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64))))
#s(approx (pow (pow (- y x) 1/4) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (neg.f64 x))))
#s(approx (pow (pow (- y x) 1/4) 2) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (/.f64 y (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) y (sqrt.f64 (neg.f64 x))))
#s(approx (pow (pow (- y x) 1/4) 2) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 y (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))))) y (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) y (sqrt.f64 (neg.f64 x))))
#s(approx (- y x) (-.f64 y x))
#s(approx y y)
#s(approx (pow (pow (- y x) 1/4) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 y (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (neg.f64 x))))
#s(approx (pow (pow (- y x) 1/4) 2) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (/.f64 y (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) y (sqrt.f64 (neg.f64 x))))
#s(approx (pow (pow (- y x) 1/4) 2) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 y (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))))) y (.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) y (sqrt.f64 (neg.f64 x))))
#s(approx (pow (- y x) 1/4) (fma.f64 (fma.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/4 binary64)) y) #s(literal -3/32 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) #s(literal -1/4 binary64))) y (pow.f64 (neg.f64 x) #s(literal 1/4 binary64))))
#s(approx (pow (- y x) 1/4) (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 11 binary64))) #s(literal 1/4 binary64)) y) #s(literal -7/128 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1/4 binary64)) #s(literal -3/32 binary64))) y (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) #s(literal -1/4 binary64))) y (pow.f64 (neg.f64 x) #s(literal 1/4 binary64))))
#s(approx (pow (pow (- y x) 1/4) 2) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (pow.f64 y #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) y))
#s(approx (pow (pow (- y x) 1/4) 2) (.f64 (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (pow.f64 y #s(literal -3 binary64))) (.f64 (.f64 (*.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (pow.f64 y #s(literal -5 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) y))
#s(approx (pow (pow (- y x) 1/4) 2) (.f64 (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (pow.f64 y #s(literal -3 binary64))) (fma.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (pow.f64 y #s(literal -7 binary64))) (.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (pow.f64 y #s(literal -5 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) y))
#s(approx (- y x) (*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal 1 binary64)) y))
#s(approx (pow (pow (- y x) 1/4) 2) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (pow.f64 y #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) y))
#s(approx (pow (pow (- y x) 1/4) 2) (.f64 (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (pow.f64 y #s(literal -3 binary64))) (.f64 (.f64 (*.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (pow.f64 y #s(literal -5 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) y))
#s(approx (pow (pow (- y x) 1/4) 2) (.f64 (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (pow.f64 y #s(literal -3 binary64))) (fma.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (pow.f64 y #s(literal -7 binary64))) (.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (pow.f64 y #s(literal -5 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) y))
#s(approx (pow (- y x) 1/4) (fma.f64 (.f64 (pow.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) x (fma.f64 (.f64 (*.f64 x x) #s(literal -3/32 binary64)) (pow.f64 (pow.f64 y #s(literal -7 binary64)) #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))))
#s(approx (pow (- y x) 1/4) (fma.f64 (.f64 (pow.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) x (fma.f64 (.f64 (.f64 x x) #s(literal -3/32 binary64)) (pow.f64 (pow.f64 y #s(literal -7 binary64)) #s(literal 1/4 binary64)) (fma.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 11/384 binary64))) (pow.f64 (pow.f64 y #s(literal -11 binary64)) #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))))))
#s(approx (sqrt (fabs (fabs (- x y)))) (sqrt.f64 (fabs.f64 (-.f64 y x))))
#s(approx (fabs (fabs (- x y))) (fabs.f64 (-.f64 y x)))
#s(approx (fabs (fabs (- x y))) (fabs.f64 (-.f64 y x)))
#s(approx (pow (pow (- y x) 1/4) 2) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y))))
#s(approx (pow (pow (- y x) 1/4) 2) (.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 x)) (sqrt.f64 (pow.f64 y #s(literal -3 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))))
#s(approx (pow (pow (- y x) 1/4) 2) (.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (pow.f64 y #s(literal -5 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 x)) (sqrt.f64 (pow.f64 y #s(literal -3 binary64))) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
#s(approx (pow (pow (- y x) 1/4) 2) (.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (pow.f64 y #s(literal -5 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (sqrt.f64 (pow.f64 y #s(literal -7 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 x)) (sqrt.f64 (pow.f64 y #s(literal -3 binary64))) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))))))
#s(approx (- y x) (*.f64 (neg.f64 y) (-.f64 (/.f64 x y) #s(literal 1 binary64))))
#s(approx (pow (pow (- y x) 1/4) 2) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y))))
#s(approx (pow (pow (- y x) 1/4) 2) (.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (pow.f64 y #s(literal -3 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))))
#s(approx (pow (pow (- y x) 1/4) 2) (.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (pow.f64 y #s(literal -3 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (pow.f64 y #s(literal -5 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
#s(approx (pow (pow (- y x) 1/4) 2) (.f64 (neg.f64 y) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (pow.f64 y #s(literal -3 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (pow.f64 y #s(literal -5 binary64))) (fma.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 y #s(literal -7 binary64))) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))))))
#s(approx (pow (- y x) 1/4) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (pow (- y x) 1/4) (fma.f64 (*.f64 x (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) y)) #s(literal -1/4 binary64) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))))
#s(approx (pow (- y x) 1/4) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (neg.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 (.f64 (.f64 x x) #s(literal -3/32 binary64)) y)))) y) #s(literal -1 binary64) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))))
#s(approx (pow (- y x) 1/4) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (neg.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (.f64 (.f64 x x) #s(literal -3/32 binary64)) (neg.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 #s(literal -1/32 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 11/128 binary64))) y)))) y))) y) #s(literal -1 binary64) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))))

eval51.0ms (3.5%)

Memory: -45.5MiB live, 16.1MiB allocated; 27ms collecting garbage
Compiler: Compiled 2 108 to 440 computations (79.1% saved)

prune4.0ms (0.3%)

Memory

9.1MiB live, 9.1MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	96	5	101

Accuracy

100.0%

Counts

101 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓	100.0%	(sqrt.f64 (-.f64 y x))
✓	49.6%	(sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) x)))
▶	53.2%	(sqrt.f64 #s(approx (- y x) y))
▶	53.4%	#s(approx (pow (pow (- y x) 1/4) 2) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x) #s(literal -1/2 binary64) (sqrt.f64 y)))

Compiler

Compiled 43 to 37 computations (14% saved)

series43.0ms (3%)

Memory

-19.5MiB live, 25.2MiB allocated; 4ms collecting garbage

Counts

11 → 67

Calls

Call 1

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

Outputs
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (sqrt y)))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))))
#s(approx (+ (* (* (/ 1 (sqrt y)) x) -1/2) (sqrt y)) #s(hole binary64 (sqrt y)))
#s(approx (+ (* (* (/ 1 (sqrt y)) x) -1/2) (sqrt y)) #s(hole binary64 (+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))))
#s(approx (* (/ 1 (sqrt y)) x) #s(hole binary64 (* x (sqrt (/ 1 y)))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (- y x)) #s(hole binary64 (sqrt y)))
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (sqrt y) (* -1/2 (* x (sqrt (/ 1 y)))))))
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* -1/8 (* x (sqrt (/ 1 (pow y 3))))))))))
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* -1/16 (* x (sqrt (/ 1 (pow y 5))))))))))))
#s(approx (- y x) #s(hole binary64 y))
#s(approx (- y x) #s(hole binary64 (+ y (* -1 x))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* (sqrt x) (sqrt -1))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* 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)))))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* 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))))))))
#s(approx (+ (* (* (/ 1 (sqrt y)) x) -1/2) (sqrt y)) #s(hole binary64 (* -1/2 (* x (sqrt (/ 1 y))))))
#s(approx (+ (* (* (/ 1 (sqrt y)) x) -1/2) (sqrt y)) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 y))) (* (/ 1 x) (sqrt y))))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* (sqrt x) (sqrt -1))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* 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)))))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* 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))))))))
#s(approx (- y x) #s(hole binary64 (* -1 x)))
#s(approx (- y x) #s(hole binary64 (* x (- (/ y x) 1))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1)))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (+ (* (* (/ 1 (sqrt y)) x) -1/2) (sqrt y)) #s(hole binary64 (* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt y))) (* 1/2 (sqrt (/ 1 y))))))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1)))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (* (pow y 2) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (* (pow y 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (- y x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ y x)))))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (+ (* 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)))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (+ (* 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)))))
#s(approx (+ (* (* (/ 1 (sqrt y)) x) -1/2) (sqrt y)) #s(hole binary64 (/ (+ (sqrt (pow y 3)) (* -1/2 (* x (sqrt y)))) y)))
#s(approx (/ 1 (sqrt y)) #s(hole binary64 (sqrt (/ 1 y))))
#s(approx (sqrt y) #s(hole binary64 (sqrt y)))
#s(approx y #s(hole binary64 y))
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 x)) (/ y (sqrt -1)))) (* (sqrt x) (sqrt -1)))))
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (* 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)))))
#s(approx (sqrt (- y x)) #s(hole binary64 (+ (* 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)))))
#s(approx (- y x) #s(hole binary64 (- y x)))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* 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)))))))))))
#s(approx (+ (* (* (/ 1 (sqrt y)) x) -1/2) (sqrt y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (* -1/2 (* x (sqrt (/ 1 (pow y 3)))))))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* 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)))))))))))
#s(approx (- y x) #s(hole binary64 (* y (+ 1 (* -1 (/ x y))))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* -1 (* (sqrt y) (pow (sqrt -1) 2)))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))))
#s(approx (pow (pow (- y x) 1/4) 2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (* x (sqrt (/ 1 (pow y 3))))) (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* -1/16 (* (/ (pow x 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow y 7))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))))
#s(approx (+ (* (* (/ 1 (sqrt y)) x) -1/2) (sqrt y)) #s(hole binary64 (* -1 (* (sqrt y) (pow (sqrt -1) 2)))))
#s(approx (+ (* (* (/ 1 (sqrt y)) x) -1/2) (sqrt y)) #s(hole binary64 (* -1 (* y (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt y) #s(hole binary64 (* -1 (* (sqrt y) (pow (sqrt -1) 2)))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* (sqrt y) (pow (sqrt -1) 2)))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* y (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (- y x)) #s(hole binary64 (* -1 (* y (+ (* -1/8 (* (* (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (* (pow x 3) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))))
#s(approx (- y x) #s(hole binary64 (* -1 (* y (- (/ x y) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	((pow (pow (- y x) 1/4) 2) (+ (* (* (/ 1 (sqrt y)) x) -1/2) (sqrt y)) (* (/ 1 (sqrt y)) x) (/ 1 (sqrt y)) 1 (sqrt y) y x -1/2 (sqrt (- y x)) (- y x))
2.0ms	x	@	-inf	((pow (pow (- y x) 1/4) 2) (+ (* (* (/ 1 (sqrt y)) x) -1/2) (sqrt y)) (* (/ 1 (sqrt y)) x) (/ 1 (sqrt y)) 1 (sqrt y) y x -1/2 (sqrt (- y x)) (- y x))
1.0ms	x	@	0	((pow (pow (- y x) 1/4) 2) (+ (* (* (/ 1 (sqrt y)) x) -1/2) (sqrt y)) (* (/ 1 (sqrt y)) x) (/ 1 (sqrt y)) 1 (sqrt y) y x -1/2 (sqrt (- y x)) (- y x))
1.0ms	x	@	inf	((pow (pow (- y x) 1/4) 2) (+ (* (* (/ 1 (sqrt y)) x) -1/2) (sqrt y)) (* (/ 1 (sqrt y)) x) (/ 1 (sqrt y)) 1 (sqrt y) y x -1/2 (sqrt (- y x)) (- y x))
1.0ms	y	@	0	((pow (pow (- y x) 1/4) 2) (+ (* (* (/ 1 (sqrt y)) x) -1/2) (sqrt y)) (* (/ 1 (sqrt y)) x) (/ 1 (sqrt y)) 1 (sqrt y) y x -1/2 (sqrt (- y x)) (- y x))

rewrite65.0ms (4.5%)

Memory

39.6MiB live, 81.8MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	292	2010
0	302	1677
0	1498	1606

Stop Event

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

Counts

78 → 96

Calls

Call 1

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

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

eval49.0ms (3.4%)

Memory: -29.9MiB live, 13.0MiB allocated; 7ms collecting garbage
Compiler: Compiled 1 950 to 349 computations (82.1% saved)

prune4.0ms (0.3%)

Memory

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

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	83	5	88

Accuracy

100.0%

Counts

88 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓	100.0%	(sqrt.f64 (-.f64 y x))
✓	49.6%	(sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) x)))
✓	53.2%	(sqrt.f64 #s(approx (- y x) y))
✓	53.4%	#s(approx (pow (pow (- y x) 1/4) 2) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x) #s(literal -1/2 binary64) (sqrt.f64 y)))

Compiler

Compiled 91 to 67 computations (26.4% saved)

regimes11.0ms (0.8%)

Memory

26.8MiB live, 26.8MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes15.0ms (1%)

Memory

-38.1MiB live, 17.1MiB allocated; 15ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

Calls

5 calls:

9.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
1.0ms	(-.f64 x y)
1.0ms	(fabs.f64 (-.f64 x y))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
60.8%	3	`(-.f64 x y)`
60.8%	3	`(fabs.f64 (-.f64 x y))`
60.8%	3	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
82.7%	2	`x`
84.7%	2	`y`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes5.0ms (0.4%)

Memory

17.6MiB live, 17.6MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
53.2%	1	`(-.f64 x y)`
53.2%	1	`(fabs.f64 (-.f64 x y))`
53.2%	1	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
53.2%	1	`x`
53.2%	1	`y`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch7.0ms (0.5%)

Memory

16.9MiB live, 16.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	8.84598228967788e-76	2.723632226491558e-75

Samples

3.0ms

80×

valid

Compiler

Compiled 78 to 80 computations (-2.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

adjust: 0.0ms (0% of total)

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

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

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

simplify60.0ms (4.1%)

Memory

-3.7MiB live, 84.9MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	28
1	22	28
2	37	28
3	62	28
4	108	28
5	171	28
6	232	28
7	392	28
8	426	28
9	637	28
10	3679	28

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

(if (<=.f64 y #s(literal 687499642012889/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) (sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) x))) (sqrt.f64 #s(approx (- y x) y)))

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

Outputs

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

(if (<=.f64 y #s(literal 687499642012889/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) (sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) x))) (sqrt.f64 #s(approx (- y x) y)))

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

derivations87.0ms (6%)

Memory

-32.6MiB live, 70.3MiB allocated; 9ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 28 to 15 computations (46.4% saved)

preprocess48.0ms (3.3%)

Memory: 11.8MiB live, 54.7MiB allocated; 7ms collecting garbage
Compiler: Compiled 74 to 48 computations (35.1% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	18	36
1	30	36
2	45	36
3	93	36
4	176	36
5	232	36
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	18	36
1	30	36
2	45	36
3	93	36
4	176	36
5	232	36
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%)

sample641.0ms (44.2%)

explain52.0ms (3.6%)

preprocess14.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

series6.0ms (0.4%)

rewrite143.0ms (9.9%)

eval11.0ms (0.7%)

prune4.0ms (0.2%)

series23.0ms (1.6%)

rewrite107.0ms (7.4%)

eval51.0ms (3.5%)

prune4.0ms (0.3%)

series43.0ms (3%)

rewrite65.0ms (4.5%)

eval49.0ms (3.4%)

prune4.0ms (0.3%)

regimes11.0ms (0.8%)

regimes15.0ms (1%)

regimes5.0ms (0.4%)

bsearch7.0ms (0.5%)

simplify60.0ms (4.1%)

derivations87.0ms (6%)

preprocess48.0ms (3.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	18	36
1	30	36
2	45	36
3	93	36
4	176	36
5	232	36
0	5	5
0	8	5
1	12	5
2	17	5
3	31	5
4	58	5
5	80	5
0	80	5