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

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

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample692.0ms (48.9%)

Memory

22.7MiB live, 873.5MiB allocated; 145ms collecting garbage

Samples

460.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 203.0ms

ival-sqrt: 85.0ms (41.8% of total)

ival-fabs: 80.0ms (39.3% of total)

ival-sub!: 37.0ms (18.2% of total)

adjust: 2.0ms (1% of total)

Bogosity

explain63.0ms (4.4%)

Memory

-17.0MiB live, 80.6MiB allocated; 19ms 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

39.0ms

512×

valid

Compiler

Compiled 37 to 19 computations (48.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-fabs: 9.0ms (61.9% of total)

ival-sqrt: 4.0ms (27.5% of total)

ival-sub!: 2.0ms (13.7% of total)

adjust: 0.0ms (0% of total)

preprocess20.0ms (1.4%)

Memory

-10.6MiB live, 33.9MiB allocated; 8ms 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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

series4.0ms (0.3%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms 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
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)
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)
0.0ms	x	@	0	((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) x y)

rewrite177.0ms (12.5%)

Memory

48.2MiB live, 270.8MiB allocated; 71ms 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))
(fma.f64 #s(literal -1 binary64) y x)
(fma.f64 #s(literal -1 binary64) x y)
(fma.f64 y #s(literal -1 binary64) x)
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x
y
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#s(approx (fabs (- x y)) (*.f64 (/.f64 (-.f64 y x) x) x))
#s(approx (fabs (- x y)) (-.f64 y x))
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eval13.0ms (0.9%)

Memory: -23.1MiB live, 24.0MiB allocated; 4ms collecting garbage
Compiler: Compiled 2 212 to 399 computations (82% saved)

prune5.0ms (0.3%)

Memory

12.8MiB live, 12.8MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	123	5	128
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	124	5	129

Accuracy

100.0%

Counts

129 → 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))
▶	90.2%	(sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) (*.f64 (/.f64 (-.f64 y x) x) x))))
▶	51.7%	(sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))))
▶	53.3%	(sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) x)))

Compiler

Compiled 84 to 72 computations (14.3% saved)

series49.0ms (3.4%)

Memory

-20.3MiB live, 37.2MiB allocated; 50ms collecting garbage

Counts

20 → 98

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 y x))
(-.f64 y x)
y
x
(sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) x)))
(fabs.f64 #s(approx (fabs (- x y)) x))
#s(approx (fabs (- x y)) x)
(sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y))))
(fabs.f64 #s(approx (fabs (- x y)) (neg.f64 y)))
#s(approx (fabs (- x y)) (neg.f64 y))
(neg.f64 y)
(sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) (*.f64 (/.f64 (-.f64 y x) x) x))))
(fabs.f64 #s(approx (fabs (- x y)) (*.f64 (/.f64 (-.f64 y x) x) x)))
#s(approx (fabs (- x y)) (*.f64 (/.f64 (-.f64 y x) x) x))
(*.f64 (/.f64 (-.f64 y x) x) x)
(/.f64 (-.f64 y x) x)
(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 (- 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 x #s(hole binary64 x))
#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 (* (/ (- y x) x) x) #s(hole binary64 y))
#s(approx (* (/ (- y x) x) x) #s(hole binary64 (+ y (* -1 x))))
#s(approx (/ (- y x) x) #s(hole binary64 (/ y x)))
#s(approx (/ (- y x) x) #s(hole binary64 (/ (+ y (* -1 x)) 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 (* (/ (- y x) x) x) #s(hole binary64 (* -1 x)))
#s(approx (* (/ (- y x) x) x) #s(hole binary64 (* x (- (/ y x) 1))))
#s(approx (/ (- y x) x) #s(hole binary64 -1))
#s(approx (/ (- y x) x) #s(hole binary64 (- (/ 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 (- 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 (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 (* (/ (- y x) x) 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 (neg y) #s(hole binary64 (* -1 y)))
#s(approx (* (/ (- y x) x) x) #s(hole binary64 (- 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 (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 (* (/ (- y x) x) x) #s(hole binary64 (* y (+ 1 (* -1 (/ x y))))))
#s(approx (/ (- y x) x) #s(hole binary64 (* y (- (/ 1 x) (/ 1 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 (- 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 (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 (* (/ (- y x) x) x) #s(hole binary64 (* -1 (* y (- (/ x y) 1)))))
#s(approx (/ (- y x) x) #s(hole binary64 (* -1 (* y (- (/ 1 y) (/ 1 x))))))
#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
31.0ms	y	@	0	((sqrt (- y x)) (- y x) y x (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (neg y) (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (* (/ (- y x) x) x) (/ (- y x) x) (pow (pow (- y x) 1/4) 2) (pow (- y x) 1/4) 1/4 2)
4.0ms	y	@	-inf	((sqrt (- y x)) (- y x) y x (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (neg y) (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (* (/ (- y x) x) x) (/ (- y x) x) (pow (pow (- y x) 1/4) 2) (pow (- y x) 1/4) 1/4 2)
4.0ms	x	@	-inf	((sqrt (- y x)) (- y x) y x (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (neg y) (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (* (/ (- y x) x) x) (/ (- y x) x) (pow (pow (- y x) 1/4) 2) (pow (- y x) 1/4) 1/4 2)
3.0ms	x	@	inf	((sqrt (- y x)) (- y x) y x (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (neg y) (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (* (/ (- y x) x) x) (/ (- y x) x) (pow (pow (- y x) 1/4) 2) (pow (- y x) 1/4) 1/4 2)
3.0ms	y	@	inf	((sqrt (- y x)) (- y x) y x (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (neg y) (sqrt (fabs (fabs (- x y)))) (fabs (fabs (- x y))) (fabs (- x y)) (* (/ (- y x) x) x) (/ (- y x) x) (pow (pow (- y x) 1/4) 2) (pow (- y x) 1/4) 1/4 2)

rewrite97.0ms (6.8%)

Memory

23.7MiB live, 115.3MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	491	3038
0	506	2539
0	2685	2439

Stop Event

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

Counts

118 → 147

Calls

Call 1

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

eval18.0ms (1.3%)

Memory: -1.8MiB live, 44.2MiB allocated; 3ms collecting garbage
Compiler: Compiled 2 968 to 635 computations (78.6% saved)

prune13.0ms (0.9%)

Memory

-22.6MiB live, 28.7MiB allocated; 8ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	153	2	155
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	155	5	160

Accuracy

100.0%

Counts

160 → 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))
✓	53.3%	(sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) x)))
▶	90.2%	(sqrt.f64 #s(approx (- y x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)))
▶	49.9%	(sqrt.f64 #s(approx (- y x) y))

Compiler

Compiled 37 to 32 computations (13.5% saved)

series8.0ms (0.6%)

Memory

23.9MiB live, 23.9MiB allocated; 0ms collecting garbage

Counts

10 → 46

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite52.0ms (3.7%)

Memory

-0.9MiB live, 45.7MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	234	1099
0	241	961
0	1211	927

Stop Event

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

Counts

56 → 62

Calls

Call 1

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

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

eval8.0ms (0.6%)

Memory: -32.4MiB live, 14.2MiB allocated; 2ms collecting garbage
Compiler: Compiled 1 218 to 283 computations (76.8% saved)

prune4.0ms (0.3%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	64	5	69

Accuracy

100.0%

Counts

69 → 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))
✓	53.3%	(sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) x)))
✓	90.2%	(sqrt.f64 #s(approx (- y x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)))
✓	49.9%	(sqrt.f64 #s(approx (- y x) y))

Compiler

Compiled 102 to 66 computations (35.3% saved)

regimes14.0ms (1%)

Memory

25.6MiB live, 25.6MiB allocated; 0ms collecting garbage

Counts

8 → 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 #s(approx (fabs (- x y)) (neg.f64 y))))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(sqrt.f64 #s(approx (- y x) (*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)))
(sqrt.f64 (fabs.f64 #s(approx (fabs (- x y)) (*.f64 (/.f64 (-.f64 y x) x) x))))
(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:

3.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
3.0ms	(-.f64 x y)
3.0ms	y
3.0ms	(fabs.f64 (-.f64 x y))
3.0ms	x

Results

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

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes8.0ms (0.6%)

Memory

-32.0MiB live, 15.0MiB allocated; 1ms 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:

2.0ms	(fabs.f64 (-.f64 x y))
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
1.0ms	(-.f64 x y)
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
63.3%	4	`(-.f64 x y)`
63.3%	4	`(fabs.f64 (-.f64 x y))`
63.3%	4	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
86.7%	2	`x`
85.2%	2	`y`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes6.0ms (0.4%)

Memory

11.7MiB live, 11.7MiB 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	(-.f64 x y)
1.0ms	y

Results

Accuracy	Segments	Branch
49.9%	1	`(-.f64 x y)`
49.9%	1	`(fabs.f64 (-.f64 x y))`
49.9%	1	`(sqrt.f64 (fabs.f64 (-.f64 x y)))`
49.9%	1	`y`
49.9%	1	`x`

Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch11.0ms (0.8%)

Memory

12.7MiB live, 12.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	-9.652578887953431e-116	-1.818368883891082e-121

Samples

5.0ms

144×

valid

Compiler

Compiled 134 to 136 computations (-1.5% saved)

Precisions

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

ival-sub!: 1.0ms (40.9% of total)

ival-fabs: 1.0ms (40.9% of total)

ival-sqrt: 1.0ms (40.9% of total)

adjust: 0.0ms (0% of total)

simplify57.0ms (4%)

Memory

-12.6MiB live, 35.1MiB allocated; 6ms 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 x #s(literal -3815193499110241/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368 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 x #s(literal -3815193499110241/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368 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))

derivations72.0ms (5.1%)

Memory

-12.0MiB live, 81.4MiB allocated; 4ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 28 to 15 computations (46.4% saved)

preprocess25.0ms (1.8%)

Memory: 6.2MiB live, 52.7MiB allocated; 3ms 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%)

sample692.0ms (48.9%)

explain63.0ms (4.4%)

preprocess20.0ms (1.4%)

eval0.0ms (0%)

prune0.0ms (0%)

series4.0ms (0.3%)

rewrite177.0ms (12.5%)

eval13.0ms (0.9%)

prune5.0ms (0.3%)

series49.0ms (3.4%)

rewrite97.0ms (6.8%)

eval18.0ms (1.3%)

prune13.0ms (0.9%)

series8.0ms (0.6%)

rewrite52.0ms (3.7%)

eval8.0ms (0.6%)

prune4.0ms (0.3%)

regimes14.0ms (1%)

regimes8.0ms (0.6%)

regimes6.0ms (0.4%)

bsearch11.0ms (0.8%)

simplify57.0ms (4%)

derivations72.0ms (5.1%)

preprocess25.0ms (1.8%)

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