Metrics for Linear.Quaternion:$clog from linear-1.19.1.3

analyze17.0ms (0.2%)

Memory

25.6MiB live, 25.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	5
66.7%	62.4%	31.2%	0.1%	0%	6.2%	0%	6
75%	65.6%	21.9%	0.1%	0%	12.5%	0%	7
80%	68.7%	17.2%	0.1%	0%	14%	0%	8
85.7%	70.2%	11.7%	0.1%	0%	18%	0%	9
88.9%	71.8%	9%	0.1%	0%	19.1%	0%	10
92.3%	72.6%	6%	0.1%	0%	21.3%	0%	11
94.1%	73.4%	4.6%	0.1%	0%	22%	0%	12

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample1.1s (11.1%)

Memory

2.9MiB live, 947.6MiB allocated

Samples

754.0ms	8 256×	0	valid
14.0ms	356×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 243.0ms

ival-sqrt: 98.0ms (40.2% of total)

ival-add: 71.0ms (29.2% of total)

ival-mult: 65.0ms (26.7% of total)

ival-true: 6.0ms (2.5% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

preprocess56.0ms (0.6%)

Memory

-7.9MiB live, 31.5MiB allocated

Algorithm

2×	egg-herbie

Rules

64×	`sub-neg`
36×	`associate--r+`
34×	`associate-+l-`
32×	`distribute-lft-neg-in`
32×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	38
1	35	38
2	70	38
3	125	38
4	189	38
5	252	38
6	314	38
7	326	38
8	332	38
0	5	6
1	6	6
0	6	5

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(sqrt (+ (* x x) y))

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

Call 2

Inputs
(sqrt (+ (* x x) y))
(sqrt (+ (* (neg x) (neg x)) y))
(sqrt (+ (* x x) (neg y)))
(neg (sqrt (+ (* (neg x) (neg x)) y)))
(neg (sqrt (+ (* x x) (neg y))))
(sqrt (+ (* y y) x))

Outputs
(sqrt (+ (* x x) y))
(sqrt (+ (* (neg x) (neg x)) y))
(sqrt (+ (* x x) y))
(sqrt (+ (* x x) (neg y)))
(sqrt (- (* x x) y))
(neg (sqrt (+ (* (neg x) (neg x)) y)))
(neg (sqrt (+ (* x x) y)))
(neg (sqrt (+ (* x x) (neg y))))
(neg (sqrt (- (* x x) y)))
(sqrt (+ (* y y) x))
(sqrt (+ x (* y y)))

Symmetry

(abs x)

explain131.0ms (1.3%)

Memory

15.3MiB live, 138.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
85	-	-	`(sqrt.f64 (+.f64 (*.f64 x x) y))`
0	-	-	`(+.f64 (*.f64 x x) y)`
0	-	-	`y`
0	-	-	`(*.f64 x x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (*.f64 x x) y))`	oflow-rescue	85	0
↳	`(+.f64 (*.f64 x x) y)`	overflow	85
↳	`(*.f64 x x)`	overflow	85

Confusion

	Predicted +	Predicted -
+	85	0
-	0	171

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	85	0	0
-	0	0	171

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	171
1	85

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

58.0ms

512×

valid

Compiler

Compiled 52 to 24 computations (53.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-sqrt: 25.0ms (79.8% of total)

ival-mult: 4.0ms (12.8% of total)

ival-add: 2.0ms (6.4% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.9%	(sqrt.f64 (+.f64 (*.f64 x x) y))

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify29.0ms (0.3%)

Memory

-30.6MiB live, 8.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(+.f64 (*.f64 x x) y)
✓	cost-diff	(sqrt.f64 (+.f64 (*.f64 x x) y))

Rules

4×	`+-lowering-+.f64`
4×	`+-lowering-+.f32`
2×	`sqrt-lowering-sqrt.f64`
2×	`-lowering-.f32`
2×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
1	6	16
0	6	14

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(sqrt (+ (* x x) y))
(+ (* x x) y)
(* x x)
x
y

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

localize40.0ms (0.4%)

Memory

-3.7MiB live, 36.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 (*.f64 x x) y)
✓	accuracy	68.9%	(sqrt.f64 (+.f64 (*.f64 x x) y))

Samples

11.0ms

256×

valid

Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions

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

ival-mult: 2.0ms (40.5% of total)

ival-sqrt: 2.0ms (40.5% of total)

ival-add: 1.0ms (20.2% of total)

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

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

series5.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

3 → 60

Calls

Call 1

Inputs
#<alt (sqrt (+ (* x x) y))>
#<alt (+ (* x x) y)>
#<alt (* x x)>

Outputs
#<alt (sqrt y)>
#<alt (+ (sqrt y) (* 1/2 (* (pow x 2) (sqrt (/ 1 y)))))>
#<alt (+ (sqrt y) (* (pow x 2) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* 1/2 (sqrt (/ 1 y))))))>
#<alt (+ (sqrt y) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 y))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2))))))>
#<alt (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (+ (* 1/16 (/ (pow y 3) (pow x 6))) (* 1/2 (/ y (pow x 2)))))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ y (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2)))))))>
#<alt (* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (+ (* 1/16 (/ (pow y 3) (pow x 6))) (* 1/2 (/ y (pow x 2))))))))>
#<alt x>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (+ x (* y (+ (* -1/8 (/ y (pow x 3))) (* 1/2 (/ 1 x)))))>
#<alt (+ x (* y (+ (* y (- (* 1/16 (/ y (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))>
#<alt (sqrt y)>
#<alt (* y (+ (sqrt (/ 1 y)) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3)))))))>
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 4) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))))))>
#<alt (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 4) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (pow x 6) (sqrt (/ 1 (pow y 7))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3)))))))))>
#<alt (* -1 (* (sqrt y) (pow (sqrt -1) 2)))>
#<alt (* -1 (* y (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* y (+ (* -1/8 (* (/ (pow x 4) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* y (+ (* -1/8 (* (/ (pow x 4) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 6) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))>
#<alt y>
#<alt (+ y (pow x 2))>
#<alt (+ y (pow x 2))>
#<alt (+ y (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ y (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ y (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ y (pow x 2))))>
#<alt (pow x 2)>
#<alt (+ y (pow x 2))>
#<alt (+ y (pow x 2))>
#<alt (+ y (pow x 2))>
#<alt y>
#<alt (* y (+ 1 (/ (pow x 2) y)))>
#<alt (* y (+ 1 (/ (pow x 2) y)))>
#<alt (* y (+ 1 (/ (pow x 2) y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>

Calls

15 calls:

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

rewrite488.0ms (5%)

Memory

-8.9MiB live, 720.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 034×	`accelerator-lowering-fma.f32`
5 034×	`accelerator-lowering-fma.f64`
4 204×	`/-lowering-/.f32`
4 204×	`/-lowering-/.f64`
3 240×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	14
1	23	14
2	166	14
3	1514	14
0	8473	12

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 228

Calls

Call 1

Inputs
(sqrt (+ (* x x) y))
(+ (* x x) y)
(* x x)

Outputs
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 x x) y))))
(exp.f64 (.f64 (log.f64 (pow.f64 (+.f64 (.f64 x x) y) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (.f64 x x) y) (+.f64 (.f64 x x) y))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 (*.f64 x x) y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (+.f64 (.f64 x x) y)) #s(literal 1/4 binary64)) (.f64 (log.f64 (+.f64 (.f64 x x) y)) #s(literal 1/4 binary64))))
(sqrt.f64 (+.f64 (*.f64 x x) y))
(/.f64 (sqrt.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 y (.f64 y y)))) (sqrt.f64 (+.f64 (.f64 y y) (.f64 (.f64 x x) (-.f64 (*.f64 x x) y)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 y y))) (pow.f64 (-.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 x x) y) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 y (.f64 x x)) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (.f64 y y) (.f64 x (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (.f64 y (.f64 y (.f64 y y))))) (sqrt.f64 (.f64 (-.f64 (.f64 x x) y) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 y y)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (.f64 y (.f64 y (.f64 y y))))) (sqrt.f64 (.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 y y)) (-.f64 (.f64 x x) y))))
(/.f64 (sqrt.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (sqrt.f64 (.f64 (+.f64 (.f64 y y) (.f64 (.f64 x x) (-.f64 (.f64 x x) y))) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))))))
(/.f64 (sqrt.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (sqrt.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (+.f64 (.f64 y y) (.f64 (.f64 x x) (-.f64 (*.f64 x x) y))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (sqrt.f64 (.f64 (+.f64 (.f64 y y) (.f64 (.f64 x x) (-.f64 (.f64 x x) y))) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 y (.f64 y y))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (sqrt.f64 (.f64 (-.f64 (.f64 x x) y) (+.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (.f64 (.f64 y y) (+.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 y y)))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (sqrt.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 y (.f64 y y))) (+.f64 (.f64 y y) (.f64 (.f64 x x) (-.f64 (.f64 x x) y))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (sqrt.f64 (.f64 (+.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (.f64 (.f64 y y) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 y y)))) (-.f64 (*.f64 x x) y))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 y (.f64 y y))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 y y) (.f64 (.f64 x x) (-.f64 (*.f64 x x) y))))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (.f64 x x) y) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) y))) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) y) #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 (-.f64 (.f64 y y) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 (-.f64 y (*.f64 x x)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 y (.f64 y y))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (.f64 y y) (.f64 (.f64 x x) (-.f64 (*.f64 x x) y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 y y)))) (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (*.f64 x x) y) #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) y)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 x x) y)) (.f64 (-.f64 (.f64 x x) y) (.f64 y y)))) (sqrt.f64 (.f64 (-.f64 (.f64 x x) y) (-.f64 (*.f64 x x) y))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 y y) (.f64 x (.f64 x (.f64 x x)))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 y (*.f64 x x)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 x x) y)) (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 x x) y)) (/.f64 (-.f64 (.f64 x x) y) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (/.f64 (.f64 y y) (-.f64 (.f64 x x) y)) (/.f64 (/.f64 (.f64 y y) (-.f64 (.f64 x x) y)) (/.f64 (-.f64 (.f64 x x) y) (.f64 y y)))))) (sqrt.f64 (+.f64 (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 x x) y)) (/.f64 (-.f64 (.f64 x x) y) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 (/.f64 (.f64 y y) (-.f64 (.f64 x x) y)) (/.f64 (-.f64 (.f64 x x) y) (.f64 y y))) (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 x x) y)) (/.f64 (-.f64 (.f64 x x) y) (.f64 y y)))))))
(/.f64 (sqrt.f64 (-.f64 (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 x x) y)) (/.f64 (-.f64 (.f64 x x) y) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (/.f64 (.f64 y y) (-.f64 (.f64 x x) y)) (/.f64 (-.f64 (.f64 x x) y) (.f64 y y))))) (sqrt.f64 (+.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 x x) y)) (/.f64 (.f64 y y) (-.f64 (.f64 x x) y)))))
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(.f64 (-.f64 (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 x x) y)) (/.f64 (-.f64 (.f64 x x) y) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (/.f64 (.f64 y y) (-.f64 (.f64 x x) y)) (/.f64 (-.f64 (.f64 x x) y) (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 x x) y)) (/.f64 (.f64 y y) (-.f64 (*.f64 x x) y)))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (+.f64 (.f64 y y) (.f64 (.f64 x x) (-.f64 (.f64 x x) y)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (+.f64 (.f64 y y) (.f64 (.f64 x x) (-.f64 (.f64 x x) y)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 y (.f64 y y)))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (-.f64 (.f64 x x) y)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (.f64 (.f64 y y) (+.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 y y))))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (.f64 y (.f64 y (.f64 y y)))) (-.f64 (.f64 x x) y)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 y y))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 y (.f64 y y))) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 y (.f64 y y)) (.f64 (-.f64 y (.f64 x x)) (.f64 (-.f64 y (.f64 x x)) (-.f64 y (.f64 x x))))))) (+.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (.f64 (.f64 y (-.f64 y (.f64 x x))) (-.f64 (.f64 y (-.f64 y (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 y (.f64 y y))) (.f64 (+.f64 (.f64 y y) (.f64 (.f64 x x) (-.f64 (.f64 x x) y))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 y (-.f64 y (.f64 x x)))))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 y (-.f64 y (*.f64 x x)))))
(.f64 (/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 y y)) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 y (.f64 y y)))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 y (+.f64 (*.f64 x x) y))))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 x x) y) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (.f64 (.f64 y y) (+.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 y y))))))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 x x) y) (-.f64 (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (.f64 y (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 y y))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 y y) (.f64 (.f64 x x) (-.f64 (.f64 x x) y))) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (.f64 y y)) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 y y) (.f64 (.f64 x x) (-.f64 (.f64 x x) y))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 y (.f64 y y)))))
(.f64 (exp.f64 (log.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 y (.f64 y y))))) (exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (.f64 (.f64 x x) (-.f64 (.f64 x x) y)))))))
(.f64 (exp.f64 (log.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 y y)))) (exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) y)))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)

simplify528.0ms (5.4%)

Memory

-6.5MiB live, 1 198.6MiB allocated

Algorithm

1×	egg-herbie

Rules

23 502×	`accelerator-lowering-fma.f32`
23 502×	`accelerator-lowering-fma.f64`
5 416×	`-lowering-.f32`
5 416×	`-lowering-.f64`
2 450×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	635
1	383	620
2	1205	612
3	4048	567
0	8293	515

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(sqrt y)
(+ (sqrt y) (* 1/2 (* (pow x 2) (sqrt (/ 1 y)))))
(+ (sqrt y) (* (pow x 2) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* 1/2 (sqrt (/ 1 y))))))
(+ (sqrt y) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 y))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))))
x
(* x (+ 1 (* 1/2 (/ y (pow x 2)))))
(* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2))))))
(* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (+ (* 1/16 (/ (pow y 3) (pow x 6))) (* 1/2 (/ y (pow x 2)))))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ y (pow x 2))))))
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2)))))))
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (+ (* 1/16 (/ (pow y 3) (pow x 6))) (* 1/2 (/ y (pow x 2))))))))
x
(+ x (* 1/2 (/ y x)))
(+ x (* y (+ (* -1/8 (/ y (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* y (+ (* y (- (* 1/16 (/ y (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(sqrt y)
(* y (+ (sqrt (/ 1 y)) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 4) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 4) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (pow x 6) (sqrt (/ 1 (pow y 7))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3)))))))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 4) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 4) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 6) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
y
(+ y (pow x 2))
(+ y (pow x 2))
(+ y (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(pow x 2)
(+ y (pow x 2))
(+ y (pow x 2))
(+ y (pow x 2))
y
(* y (+ 1 (/ (pow x 2) y)))
(* y (+ 1 (/ (pow x 2) y)))
(* y (+ 1 (/ (pow x 2) y)))
y
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Outputs
(sqrt y)
(sqrt.f64 y)
(+ (sqrt y) (* 1/2 (* (pow x 2) (sqrt (/ 1 y)))))
(+.f64 (sqrt.f64 y) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(+ (sqrt y) (* (pow x 2) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* 1/2 (sqrt (/ 1 y))))))
(+.f64 (sqrt.f64 y) (.f64 (.f64 x x) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))))))))
(+ (sqrt y) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 y))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* (pow x 2) (sqrt (/ 1 (pow y 5))))))))))
(+.f64 (sqrt.f64 y) (.f64 (.f64 x x) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 (.f64 x x) (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 (*.f64 x x) #s(literal 1/16 binary64))))))))
x
(* x (+ 1 (* 1/2 (/ y (pow x 2)))))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2))))))
(+.f64 x (.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 y (*.f64 x x))))))
(* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (+ (* 1/16 (/ (pow y 3) (pow x 6))) (* 1/2 (/ y (pow x 2)))))))
(+.f64 (+.f64 x (.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 y (.f64 x x)))))) (/.f64 (.f64 x (.f64 y (.f64 (*.f64 y #s(literal 1/16 binary64)) y))) (pow.f64 x #s(literal 6 binary64))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* 1/2 (/ y (pow x 2))))))
(-.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) x)
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2)))))))
(-.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 y (*.f64 x x))))))
(* -1 (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (+ (* 1/16 (/ (pow y 3) (pow x 6))) (* 1/2 (/ y (pow x 2))))))))
(-.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 y (.f64 x x)))))) (/.f64 (.f64 x (.f64 y (.f64 (*.f64 y #s(literal 1/16 binary64)) y))) (pow.f64 x #s(literal 6 binary64))))
x
(+ x (* 1/2 (/ y x)))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(+ x (* y (+ (* -1/8 (/ y (pow x 3))) (* 1/2 (/ 1 x)))))
(+.f64 x (.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 y (*.f64 x x))))))
(+ x (* y (+ (* y (- (* 1/16 (/ y (pow x 5))) (* 1/8 (/ 1 (pow x 3))))) (* 1/2 (/ 1 x)))))
(+.f64 x (.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 y (+.f64 (/.f64 (.f64 y #s(literal 1/16 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x))))))))
(sqrt y)
(sqrt.f64 y)
(* y (+ (sqrt (/ 1 y)) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3)))))))
(.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (.f64 #s(literal 1/2 binary64) (.f64 x x)))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 4) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))))))
(.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal -1/8 binary64)))))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 4) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (pow x 6) (sqrt (/ 1 (pow y 7))))) (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3)))))))))
(.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (.f64 #s(literal 1/2 binary64) (.f64 x x))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/8 binary64))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* y (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (.f64 x (.f64 x #s(literal -1/2 binary64))))))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 4) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(.f64 y (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/8 binary64)))))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (.f64 x (*.f64 x #s(literal -1/2 binary64)))))))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 4) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 6) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (+.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) #s(literal -1/16 binary64)) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/8 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (.f64 x (*.f64 x #s(literal -1/2 binary64))))))))
y
(+ y (pow x 2))
(+.f64 y (*.f64 x x))
(+ y (pow x 2))
(+.f64 y (*.f64 x x))
(+ y (pow x 2))
(+.f64 y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(+.f64 y (*.f64 x x))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(+.f64 y (*.f64 x x))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(+.f64 y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(+.f64 y (*.f64 x x))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(+.f64 y (*.f64 x x))
(* (pow x 2) (+ 1 (/ y (pow x 2))))
(+.f64 y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(+ y (pow x 2))
(+.f64 y (*.f64 x x))
(+ y (pow x 2))
(+.f64 y (*.f64 x x))
(+ y (pow x 2))
(+.f64 y (*.f64 x x))
y
(* y (+ 1 (/ (pow x 2) y)))
(+.f64 y (*.f64 x x))
(* y (+ 1 (/ (pow x 2) y)))
(+.f64 y (*.f64 x x))
(* y (+ 1 (/ (pow x 2) y)))
(+.f64 y (*.f64 x x))
y
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(+.f64 y (*.f64 x x))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(+.f64 y (*.f64 x x))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) 1)))
(+.f64 y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval34.0ms (0.3%)

Memory: 10.7MiB live, 86.7MiB allocated
Compiler: Compiled 11 667 to 873 computations (92.5% saved)

prune34.0ms (0.3%)

Memory

-15.3MiB live, 109.0MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	284	4	288
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	284	5	289

Accuracy

100.0%

Counts

289 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.7%	(+.f64 x (.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 y (*.f64 x x))))))
▶	68.1%	(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
✓	68.9%	(sqrt.f64 (+.f64 (*.f64 x x) y))
▶	34.9%	(sqrt.f64 y)
▶	67.3%	x

Compiler

Compiled 41 to 27 computations (34.1% saved)

simplify11.0ms (0.1%)

Memory

22.4MiB live, 22.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 y (.f64 x x))))
✓	cost-diff	(/.f64 y x)
✓	cost-diff	(.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 y (*.f64 x x)))))
✓	cost-diff	(+.f64 x (.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 y (*.f64 x x))))))
✓	cost-diff	(/.f64 y x)
✓	cost-diff	(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
✓	cost-diff	(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
✓	cost-diff	(sqrt.f64 y)

Rules

188×	`accelerator-lowering-fma.f32`
188×	`accelerator-lowering-fma.f64`
174×	`-lowering-.f32`
174×	`-lowering-.f64`
68×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	81
1	32	81
2	76	81
3	144	81
4	203	81
5	226	81
6	227	81
0	227	76

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
x
(sqrt y)
y
(+ x (* 1/2 (/ y x)))
x
(* 1/2 (/ y x))
1/2
(/ y x)
y
(+ x (* (/ y x) (+ 1/2 (* -1/8 (/ y (* x x))))))
x
(* (/ y x) (+ 1/2 (* -1/8 (/ y (* x x)))))
(/ y x)
y
(+ 1/2 (* -1/8 (/ y (* x x))))
1/2
(* -1/8 (/ y (* x x)))
-1/8
(/ y (* x x))
(* x x)

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

localize46.0ms (0.5%)

Memory

1.4MiB live, 120.7MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 #s(literal -1/8 binary64) (/.f64 y (.f64 x x)))
✓	accuracy	99.9%	(.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 y (*.f64 x x)))))
✓	accuracy	92.6%	(/.f64 y (*.f64 x x))
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
✓	accuracy	100.0%	(sqrt.f64 y)

Samples

18.0ms	171×	0	valid
10.0ms	85×	0	invalid

Compiler

Compiled 83 to 16 computations (80.7% saved)

Precisions

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

ival-mult: 6.0ms (39.1% of total)

ival-div: 4.0ms (26% of total)

ival-add: 3.0ms (19.5% of total)

ival-sqrt: 2.0ms (13% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.2%)

Memory

1.7MiB live, 40.6MiB allocated

Counts

10 → 216

Calls

Call 1

Inputs
#<alt (sqrt y)>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (* 1/2 (/ y x))>
#<alt (/ y x)>
#<alt (+ x (* (/ y x) (+ 1/2 (* -1/8 (/ y (* x x))))))>
#<alt (* (/ y x) (+ 1/2 (* -1/8 (/ y (* x x)))))>
#<alt (+ 1/2 (* -1/8 (/ y (* x x))))>
#<alt (/ y (* x x))>
#<alt (* -1/8 (/ y (* x x)))>
#<alt (* x x)>

Outputs
#<alt (sqrt y)>
#<alt (sqrt y)>
#<alt (sqrt y)>
#<alt (sqrt y)>
#<alt (sqrt y)>
#<alt (sqrt y)>
#<alt (sqrt y)>
#<alt (sqrt y)>
#<alt (* -1 (* (sqrt y) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt y) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt y) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt y) (pow (sqrt -1) 2)))>
#<alt (* 1/2 (/ y x))>
#<alt (/ (+ (* 1/2 y) (pow x 2)) x)>
#<alt (/ (+ (* 1/2 y) (pow x 2)) x)>
#<alt (/ (+ (* 1/2 y) (pow x 2)) x)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt x>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (* 1/2 (/ y x))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* 1/2 (/ y x))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (* -1/8 (/ (pow y 2) (pow x 3)))>
#<alt (/ (+ (* -1/8 (pow y 2)) (* 1/2 (* (pow x 2) y))) (pow x 3))>
#<alt (/ (+ (* -1/8 (pow y 2)) (* (pow x 2) (+ (* 1/2 y) (pow x 2)))) (pow x 3))>
#<alt (/ (+ (* -1/8 (pow y 2)) (* (pow x 2) (+ (* 1/2 y) (pow x 2)))) (pow x 3))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2))))))>
#<alt (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2))))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt (* -1 (* x (- (+ (* -1/2 (/ y (pow x 2))) (* 1/8 (/ (pow y 2) (pow x 4)))) 1)))>
#<alt (* -1 (* x (- (+ (* -1/2 (/ y (pow x 2))) (* 1/8 (/ (pow y 2) (pow x 4)))) 1)))>
#<alt x>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (+ x (* y (+ (* -1/8 (/ y (pow x 3))) (* 1/2 (/ 1 x)))))>
#<alt (+ x (* y (+ (* -1/8 (/ y (pow x 3))) (* 1/2 (/ 1 x)))))>
#<alt (* -1/8 (/ (pow y 2) (pow x 3)))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/8 (/ 1 (pow x 3)))))>
#<alt (* (pow y 2) (- (+ (/ 1/2 (* x y)) (/ x (pow y 2))) (* 1/8 (/ 1 (pow x 3)))))>
#<alt (* (pow y 2) (- (+ (/ 1/2 (* x y)) (/ x (pow y 2))) (* 1/8 (/ 1 (pow x 3)))))>
#<alt (* -1/8 (/ (pow y 2) (pow x 3)))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/8 (/ 1 (pow x 3)))))>
#<alt (* (pow y 2) (- (* -1 (/ (- (* -1 (/ x y)) (* 1/2 (/ 1 x))) y)) (* 1/8 (/ 1 (pow x 3)))))>
#<alt (* (pow y 2) (- (* -1 (/ (- (* -1 (/ x y)) (* 1/2 (/ 1 x))) y)) (* 1/8 (/ 1 (pow x 3)))))>
#<alt (* 1/2 (/ y x))>
#<alt (* y (+ (* -1/8 (/ y (pow x 3))) (* 1/2 (/ 1 x))))>
#<alt (* y (+ (* -1/8 (/ y (pow x 3))) (* 1/2 (/ 1 x))))>
#<alt (* y (+ (* -1/8 (/ y (pow x 3))) (* 1/2 (/ 1 x))))>
#<alt (* -1/8 (/ (pow y 2) (pow x 3)))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/8 (/ 1 (pow x 3)))))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/8 (/ 1 (pow x 3)))))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/8 (/ 1 (pow x 3)))))>
#<alt (* -1/8 (/ (pow y 2) (pow x 3)))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/8 (/ 1 (pow x 3)))))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/8 (/ 1 (pow x 3)))))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/8 (/ 1 (pow x 3)))))>
#<alt (* -1/8 (/ (pow y 2) (pow x 3)))>
#<alt (/ (+ (* -1/8 (pow y 2)) (* 1/2 (* (pow x 2) y))) (pow x 3))>
#<alt (/ (+ (* -1/8 (pow y 2)) (* 1/2 (* (pow x 2) y))) (pow x 3))>
#<alt (/ (+ (* -1/8 (pow y 2)) (* 1/2 (* (pow x 2) y))) (pow x 3))>
#<alt (* 1/2 (/ y x))>
#<alt (/ (+ (* -1/8 (/ (pow y 2) (pow x 2))) (* 1/2 y)) x)>
#<alt (/ (+ (* -1/8 (/ (pow y 2) (pow x 2))) (* 1/2 y)) x)>
#<alt (/ (+ (* -1/8 (/ (pow y 2) (pow x 2))) (* 1/2 y)) x)>
#<alt (* 1/2 (/ y x))>
#<alt (* -1 (/ (+ (* -1/2 y) (* 1/8 (/ (pow y 2) (pow x 2)))) x))>
#<alt (* -1 (/ (+ (* -1/2 y) (* 1/8 (/ (pow y 2) (pow x 2)))) x))>
#<alt (* -1 (/ (+ (* -1/2 y) (* 1/8 (/ (pow y 2) (pow x 2)))) x))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/8 (/ y (pow x 2))))>
#<alt (+ 1/2 (* -1/8 (/ y (pow x 2))))>
#<alt (+ 1/2 (* -1/8 (/ y (pow x 2))))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* y (- (* 1/2 (/ 1 y)) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* y (- (* 1/2 (/ 1 y)) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* y (- (* 1/2 (/ 1 y)) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1 (* y (- (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (- (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 y)))))>
#<alt (* -1 (* y (- (* 1/8 (/ 1 (pow x 2))) (* 1/2 (/ 1 y)))))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (/ (+ (* -1/8 y) (* 1/2 (pow x 2))) (pow x 2))>
#<alt (/ (+ (* -1/8 y) (* 1/2 (pow x 2))) (pow x 2))>
#<alt (/ (+ (* -1/8 y) (* 1/2 (pow x 2))) (pow x 2))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/8 (/ y (pow x 2))))>
#<alt (+ 1/2 (* -1/8 (/ y (pow x 2))))>
#<alt (+ 1/2 (* -1/8 (/ y (pow x 2))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/8 (/ y (pow x 2))))>
#<alt (+ 1/2 (* -1/8 (/ y (pow x 2))))>
#<alt (+ 1/2 (* -1/8 (/ y (pow x 2))))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>

Calls

54 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(/ y x)
1.0ms	y	@	0	(sqrt y)
1.0ms	y	@	-inf	(+ x (* (/ y x) (+ 1/2 (* -1/8 (/ y (* x x))))))
0.0ms	x	@	0	(+ x (* 1/2 (/ y x)))
0.0ms	y	@	inf	(* (/ y x) (+ 1/2 (* -1/8 (/ y (* x x)))))

rewrite885.0ms (9%)

Memory

-4.6MiB live, 872.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 274×	`accelerator-lowering-fma.f32`
9 274×	`accelerator-lowering-fma.f64`
5 946×	`-lowering-.f32`
5 946×	`-lowering-.f64`
2 864×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	69
1	85	69
2	778	69
0	8503	64

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 719

Calls

Call 1

Inputs
(sqrt y)
(+ x (* 1/2 (/ y x)))
(* 1/2 (/ y x))
(/ y x)
(+ x (* (/ y x) (+ 1/2 (* -1/8 (/ y (* x x))))))
(* (/ y x) (+ 1/2 (* -1/8 (/ y (* x x)))))
(+ 1/2 (* -1/8 (/ y (* x x))))
(/ y (* x x))
(* -1/8 (/ y (* x x)))
(* x x)

Outputs
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(sqrt.f64 y)
(pow.f64 y #s(literal 1/2 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)
(+.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (neg.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)))
(fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)
(fma.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 x #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 (/.f64 y x) #s(literal 1/2 binary64) x)
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (neg.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1 binary64) x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 1/2 binary64)) x)
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x) x)
(fma.f64 #s(literal -1/2 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) x)) x)
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) y x)
(fma.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) x)
(neg.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 y x) (.f64 y (/.f64 y (.f64 x x)))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (.f64 (/.f64 y x) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)))))))
(neg.f64 (/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y (/.f64 y (.f64 x x))) #s(literal -1/4 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 y x) (.f64 y (/.f64 y (.f64 x x))))))) (+.f64 (.f64 x x) (.f64 (/.f64 y x) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))))))
(neg.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x))) (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 y x) (.f64 y (/.f64 y (.f64 x x)))))) (+.f64 (.f64 x x) (.f64 (/.f64 y x) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (/.f64 x (/.f64 y x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 y y)) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (/.f64 x (/.f64 y x))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (/.f64 x (/.f64 y x))))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (/.f64 x (/.f64 y x)))))) (+.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 y y)) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (/.f64 x (/.f64 y x))))) (/.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 y y)) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (/.f64 x (/.f64 y x)))))) (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (/.f64 x (/.f64 y x))))) (/.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 y y)) (.f64 x (.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (/.f64 x (/.f64 y x)))))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (/.f64 x (/.f64 y x))))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (/.f64 x (/.f64 y x)))))) (.f64 (/.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 y y)) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (/.f64 x (/.f64 y x))))) (/.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 y y)) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (/.f64 x (/.f64 y x))))))) (+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (/.f64 x (/.f64 y x))))) (/.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 y y)) (.f64 x (.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (/.f64 x (/.f64 y x)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (/.f64 x (/.f64 y x))))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (/.f64 x (/.f64 y x)))) #s(literal 1 binary64))
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(.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/512 binary64) (/.f64 (.f64 (/.f64 y x) (.f64 y (/.f64 y (.f64 x x)))) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 y y)) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 y (.f64 x x)))))))
(.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/512 binary64) (/.f64 (.f64 (/.f64 y x) (.f64 y (/.f64 y (.f64 x x)))) (.f64 x (.f64 x x))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (/.f64 y (.f64 x x)) (-.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 1/64 binary64)) #s(literal -1/16 binary64))))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (/.f64 x (/.f64 y x)))))
(.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 y y)) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (/.f64 x (/.f64 y x))))))
(.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 y y)) (.f64 x (.f64 x (.f64 x x))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (/.f64 x (/.f64 y x))))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal -1/8 binary64) (neg.f64 (.f64 #s(literal -1/512 binary64) (/.f64 (.f64 (/.f64 y x) (.f64 y (/.f64 y (.f64 x x)))) (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/4 binary64) (neg.f64 (.f64 (/.f64 y (.f64 x x)) (-.f64 (.f64 (/.f64 y (*.f64 x x)) #s(literal 1/64 binary64)) #s(literal -1/16 binary64)))))))
(.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 y y)) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (/.f64 x (/.f64 y x))))))
(.f64 (+.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 y y)) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/8 binary64) (/.f64 x (/.f64 y x))) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 y x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) (/.f64 y (.f64 x x))))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x x))))
(/.f64 y (*.f64 x x))
(/.f64 (/.f64 y x) x)
(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y x)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y x))))
(/.f64 (/.f64 y (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 x (/.f64 y x)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
(.f64 y (/.f64 #s(literal 1 binary64) (.f64 x x)))
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) x))
(.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(.f64 (-.f64 #s(literal 0 binary64) y) (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(.f64 #s(literal 1 binary64) (/.f64 y (.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) y)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (.f64 x x))))
(*.f64 (/.f64 y (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (-.f64 #s(literal 0 binary64) x)))
(*.f64 (pow.f64 (/.f64 x (/.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (/.f64 y x)) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(neg.f64 (/.f64 #s(literal 1/8 binary64) (/.f64 x (/.f64 y x))))
(/.f64 #s(literal -1/8 binary64) (/.f64 x (/.f64 y x)))
(/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 y #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 y x)) #s(literal -1/8 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x x) (.f64 y #s(literal -1/8 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 y x) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1/8 binary64) (/.f64 x y))))
(/.f64 (.f64 y #s(literal -1/8 binary64)) (.f64 x x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x x) (.f64 y #s(literal -1/8 binary64)))))
(/.f64 (.f64 y #s(literal 1/8 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(/.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 x y))
(/.f64 (*.f64 (/.f64 y x) #s(literal -1/8 binary64)) x)
(/.f64 (/.f64 #s(literal -1/8 binary64) (/.f64 x y)) x)
(/.f64 (neg.f64 (.f64 y #s(literal 1/8 binary64))) (.f64 x x))
(/.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -1/8 binary64))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (/.f64 #s(literal -1/8 binary64) (/.f64 x y))) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 (.f64 x x) (.f64 y #s(literal -1/8 binary64))) #s(literal -1 binary64))
(.f64 y (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/8 binary64)))
(.f64 y (.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(.f64 y (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 y x) (/.f64 #s(literal -1/8 binary64) x))
(.f64 (/.f64 y x) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/8 binary64)))
(.f64 #s(literal -1/8 binary64) (/.f64 y (.f64 x x)))
(.f64 #s(literal -1/8 binary64) (.f64 (/.f64 y (*.f64 x x)) #s(literal 1 binary64)))
(.f64 (/.f64 y (.f64 x x)) #s(literal -1/8 binary64))
(*.f64 (/.f64 #s(literal -1/8 binary64) (/.f64 x (/.f64 y x))) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 0 binary64) y) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/8 binary64)))
(.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (.f64 x x))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (/.f64 x (/.f64 y x))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 y #s(literal -1/8 binary64)))
(.f64 (.f64 y #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (.f64 y #s(literal -1/8 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)))
(.f64 (.f64 y #s(literal 1/8 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 y (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 y x))
(.f64 (/.f64 #s(literal -1/8 binary64) x) (.f64 (/.f64 y x) #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 y x) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1/8 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))
(*.f64 (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 y (-.f64 #s(literal 0 binary64) x)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) x)) (/.f64 y x))
(.f64 (.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) y)
(.f64 (.f64 (/.f64 #s(literal -1/8 binary64) x) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1 binary64)) (/.f64 y x))
(.f64 (.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 #s(literal 1 binary64) x)) y)
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))

simplify806.0ms (8.2%)

Memory

-14.5MiB live, 626.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 174×	`accelerator-lowering-fma.f32`
10 174×	`accelerator-lowering-fma.f64`
3 640×	`-lowering-.f32`
3 640×	`-lowering-.f64`
1 612×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	1598
1	278	1598
2	715	1586
3	2218	1498
4	5166	1498
0	8119	1430

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

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

eval188.0ms (1.9%)

Memory: 7.8MiB live, 318.2MiB allocated
Compiler: Compiled 25 293 to 2 411 computations (90.5% saved)

prune118.0ms (1.2%)

Memory

8.3MiB live, 283.8MiB allocated

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	964	12	976
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	965	16	981

Accuracy

100.0%

Counts

981 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	33.1%	(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
	10.5%	(/.f64 (+.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) (.f64 y (.f64 y #s(literal -1/8 binary64))))) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) (.f64 x (*.f64 x x))))
	10.5%	(/.f64 (+.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 y x) (.f64 y (/.f64 y (.f64 x x)))))) (.f64 x x)) (.f64 (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))))) (/.f64 (.f64 y #s(literal -1/8 binary64)) (/.f64 x y)))) (.f64 (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))))) (.f64 x x)))
	36.4%	(/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y (/.f64 y (.f64 x x))) #s(literal -1/4 binary64))) (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))))
	14.9%	(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 y y)) (.f64 (.f64 x x) (+.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 x x)))) (.f64 x (.f64 x x)))
▶	3.8%	(/.f64 (*.f64 y #s(literal 1/2 binary64)) x)
	68.1%	(+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)
✓	66.7%	(+.f64 x (.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 y (*.f64 x x))))))
▶	68.1%	(+.f64 x (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(literal 1/2 binary64))))
	21.5%	(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 y x) (.f64 y (/.f64 y (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (/.f64 y x) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))))))
	34.0%	(.f64 (+.f64 (.f64 x x) (.f64 (/.f64 y x) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)))) (.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (/.f64 y x) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)))))))
▶	67.6%	(.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
▶	66.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (/.f64 y (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y #s(literal -1/8 binary64)) (*.f64 x x))))))
✓	68.9%	(sqrt.f64 (+.f64 (*.f64 x x) y))
✓	34.9%	(sqrt.f64 y)
✓	67.3%	x

Compiler

Compiled 752 to 363 computations (51.7% saved)

simplify346.0ms (3.5%)

Memory

-2.4MiB live, 640.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
✓	cost-diff	0	(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
✓	cost-diff	128	(.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
✓	cost-diff	1024	(*.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
✓	cost-diff	0	(.f64 #s(literal 1/4 binary64) (.f64 y y))
✓	cost-diff	0	(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (*.f64 x x))
✓	cost-diff	0	(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x x))
✓	cost-diff	0	(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
✓	cost-diff	0	(/.f64 y (*.f64 x x))
✓	cost-diff	0	(.f64 (/.f64 y (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y #s(literal -1/8 binary64)) (.f64 x x))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (/.f64 y (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y #s(literal -1/8 binary64)) (.f64 x x)))))
✓	cost-diff	256	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (/.f64 y (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y #s(literal -1/8 binary64)) (*.f64 x x))))))
✓	cost-diff	0	(*.f64 y #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 y #s(literal 1/2 binary64)) x)
✓	cost-diff	0	(*.f64 y #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(+.f64 x (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(literal 1/2 binary64))))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(literal 1/2 binary64)))

Rules

9 138×	`accelerator-lowering-fma.f32`
9 138×	`accelerator-lowering-fma.f64`
3 740×	`-lowering-.f32`
3 740×	`-lowering-.f64`
2 424×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	252
1	103	238
2	278	238
3	958	234
4	2960	234
5	4665	234
6	7698	234
0	8161	221

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ x (* (/ 1 x) (* y 1/2)))
x
(* (/ 1 x) (* y 1/2))
(/ 1 x)
1
(* y 1/2)
y
1/2
(/ (* y 1/2) x)
(* y 1/2)
y
1/2
x
(* x (+ 1 (* (/ y (* x x)) (+ 1/2 (/ (* y -1/8) (* x x))))))
x
(+ 1 (* (/ y (* x x)) (+ 1/2 (/ (* y -1/8) (* x x)))))
1
(* (/ y (* x x)) (+ 1/2 (/ (* y -1/8) (* x x))))
(/ y (* x x))
y
(* x x)
(+ 1/2 (/ (* y -1/8) (* x x)))
1/2
(/ (* y -1/8) (* x x))
(* y -1/8)
-1/8
(/ (- (/ (* 1/4 (* y y)) (* x x)) (* x x)) (- (/ 1/2 (/ x y)) x))
(- (/ (* 1/4 (* y y)) (* x x)) (* x x))
(/ (* 1/4 (* y y)) (* x x))
(* 1/4 (* y y))
1/4
(* y y)
y
(* x x)
x
(- (/ 1/2 (/ x y)) x)
(/ 1/2 (/ x y))
1/2
(/ x y)
(* (+ x (/ 1/2 (/ x y))) (* (+ x (/ -1/2 (/ x y))) (/ 1 (+ x (/ -1/2 (/ x y))))))
(+ x (/ 1/2 (/ x y)))
x
(/ 1/2 (/ x y))
1/2
(/ x y)
y
(* (+ x (/ -1/2 (/ x y))) (/ 1 (+ x (/ -1/2 (/ x y)))))
(+ x (/ -1/2 (/ x y)))
(/ -1/2 (/ x y))
-1/2
(/ 1 (+ x (/ -1/2 (/ x y))))
1

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

localize107.0ms (1.1%)

Memory

30.1MiB live, 227.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))))
✓	accuracy	98.9%	(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
✓	accuracy	98.9%	(/.f64 #s(literal -1/2 binary64) (/.f64 x y))
✓	accuracy	91.0%	(*.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
✓	accuracy	100.0%	(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x x))
✓	accuracy	98.9%	(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
✓	accuracy	76.2%	(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (*.f64 x x))
✓	accuracy	51.7%	(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
✓	accuracy	99.9%	(.f64 (/.f64 y (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y #s(literal -1/8 binary64)) (.f64 x x))))
✓	accuracy	97.4%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (/.f64 y (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y #s(literal -1/8 binary64)) (*.f64 x x))))))
✓	accuracy	87.6%	(/.f64 (.f64 y #s(literal -1/8 binary64)) (.f64 x x))
✓	accuracy	87.5%	(/.f64 y (*.f64 x x))
✓	accuracy	100.0%	(/.f64 (*.f64 y #s(literal 1/2 binary64)) x)
✓	accuracy	100.0%	(*.f64 y #s(literal 1/2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(+.f64 x (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(*.f64 y #s(literal 1/2 binary64))
✓	accuracy	99.7%	(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(literal 1/2 binary64)))

Samples

58.0ms

256×

valid

Compiler

Compiled 278 to 36 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-div: 16.0ms (42.5% of total)

ival-mult: 13.0ms (34.6% of total)

ival-add: 5.0ms (13.3% of total)

ival-sub: 2.0ms (5.3% of total)

exact: 1.0ms (2.7% of total)

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

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

series28.0ms (0.3%)

Memory

-14.3MiB live, 38.2MiB allocated

Counts

20 → 444

Calls

Call 1

Inputs
#<alt (* (/ 1 x) (* y 1/2))>
#<alt (+ x (* (/ 1 x) (* y 1/2)))>
#<alt (/ 1 x)>
#<alt (* y 1/2)>
#<alt (/ (* y 1/2) x)>
#<alt (* x (+ 1 (* (/ y (* x x)) (+ 1/2 (/ (* y -1/8) (* x x))))))>
#<alt (+ 1 (* (/ y (* x x)) (+ 1/2 (/ (* y -1/8) (* x x)))))>
#<alt (* (/ y (* x x)) (+ 1/2 (/ (* y -1/8) (* x x))))>
#<alt (/ y (* x x))>
#<alt (/ (- (/ (* 1/4 (* y y)) (* x x)) (* x x)) (- (/ 1/2 (/ x y)) x))>
#<alt (- (/ (* 1/4 (* y y)) (* x x)) (* x x))>
#<alt (/ (* 1/4 (* y y)) (* x x))>
#<alt (* 1/4 (* y y))>
#<alt (* (+ x (/ -1/2 (/ x y))) (/ 1 (+ x (/ -1/2 (/ x y)))))>
#<alt (* (+ x (/ 1/2 (/ x y))) (* (+ x (/ -1/2 (/ x y))) (/ 1 (+ x (/ -1/2 (/ x y))))))>
#<alt (+ x (/ 1/2 (/ x y)))>
#<alt (/ 1/2 (/ x y))>
#<alt (/ (* y -1/8) (* x x))>
#<alt (/ -1/2 (/ x y))>
#<alt (/ 1 (+ x (/ -1/2 (/ x y))))>

Outputs
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (/ (+ (* 1/2 y) (pow x 2)) x)>
#<alt (/ (+ (* 1/2 y) (pow x 2)) x)>
#<alt (/ (+ (* 1/2 y) (pow x 2)) x)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt x>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (* 1/2 (/ y x))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* 1/2 (/ y x))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* -1/8 (/ (pow y 2) (pow x 3)))>
#<alt (/ (+ (* -1/8 (pow y 2)) (* 1/2 (* (pow x 2) y))) (pow x 3))>
#<alt (/ (+ (* -1/8 (pow y 2)) (* (pow x 2) (+ (* 1/2 y) (pow x 2)))) (pow x 3))>
#<alt (/ (+ (* -1/8 (pow y 2)) (* (pow x 2) (+ (* 1/2 y) (pow x 2)))) (pow x 3))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2))))))>
#<alt (* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2))))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt (* -1 (* x (- (+ (* -1/2 (/ y (pow x 2))) (* 1/8 (/ (pow y 2) (pow x 4)))) 1)))>
#<alt (* -1 (* x (- (+ (* -1/2 (/ y (pow x 2))) (* 1/8 (/ (pow y 2) (pow x 4)))) 1)))>
#<alt x>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (+ x (* y (+ (* -1/8 (/ y (pow x 3))) (* 1/2 (/ 1 x)))))>
#<alt (+ x (* y (+ (* -1/8 (/ y (pow x 3))) (* 1/2 (/ 1 x)))))>
#<alt (* -1/8 (/ (pow y 2) (pow x 3)))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/8 (/ 1 (pow x 3)))))>
#<alt (* (pow y 2) (- (+ (/ 1/2 (* x y)) (/ x (pow y 2))) (* 1/8 (/ 1 (pow x 3)))))>
#<alt (* (pow y 2) (- (+ (/ 1/2 (* x y)) (/ x (pow y 2))) (* 1/8 (/ 1 (pow x 3)))))>
#<alt (* -1/8 (/ (pow y 2) (pow x 3)))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/8 (/ 1 (pow x 3)))))>
#<alt (* (pow y 2) (- (* -1 (/ (- (* -1 (/ x y)) (* 1/2 (/ 1 x))) y)) (* 1/8 (/ 1 (pow x 3)))))>
#<alt (* (pow y 2) (- (* -1 (/ (- (* -1 (/ x y)) (* 1/2 (/ 1 x))) y)) (* 1/8 (/ 1 (pow x 3)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ y (pow x 2))))>
#<alt (+ 1 (* y (+ (* -1/8 (/ y (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))>
#<alt (+ 1 (* y (+ (* -1/8 (/ y (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1/8 (/ (pow y 2) (pow x 4)))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* (pow y 2) (- (+ (/ 1/2 (* (pow x 2) y)) (/ 1 (pow y 2))) (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* (pow y 2) (- (+ (/ 1/2 (* (pow x 2) y)) (/ 1 (pow y 2))) (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* -1/8 (/ (pow y 2) (pow x 4)))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* (pow y 2) (- (+ (/ 1/2 (* (pow x 2) y)) (/ 1 (pow y 2))) (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* (pow y 2) (- (+ (/ 1/2 (* (pow x 2) y)) (/ 1 (pow y 2))) (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* -1/8 (/ (pow y 2) (pow x 4)))>
#<alt (/ (+ (* -1/8 (pow y 2)) (* 1/2 (* (pow x 2) y))) (pow x 4))>
#<alt (/ (+ (* -1/8 (pow y 2)) (* (pow x 2) (+ (* 1/2 y) (pow x 2)))) (pow x 4))>
#<alt (/ (+ (* -1/8 (pow y 2)) (* (pow x 2) (+ (* 1/2 y) (pow x 2)))) (pow x 4))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ y (pow x 2))))>
#<alt (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2)))))>
#<alt (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ y (pow x 2))))>
#<alt (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2)))))>
#<alt (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2)))))>
#<alt (* 1/2 (/ y (pow x 2)))>
#<alt (* y (+ (* -1/8 (/ y (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* y (+ (* -1/8 (/ y (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* y (+ (* -1/8 (/ y (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1/8 (/ (pow y 2) (pow x 4)))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* -1/8 (/ (pow y 2) (pow x 4)))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* (pow y 2) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* -1/8 (/ (pow y 2) (pow x 4)))>
#<alt (/ (+ (* -1/8 (pow y 2)) (* 1/2 (* (pow x 2) y))) (pow x 4))>
#<alt (/ (+ (* -1/8 (pow y 2)) (* 1/2 (* (pow x 2) y))) (pow x 4))>
#<alt (/ (+ (* -1/8 (pow y 2)) (* 1/2 (* (pow x 2) y))) (pow x 4))>
#<alt (* 1/2 (/ y (pow x 2)))>
#<alt (/ (+ (* -1/8 (/ (pow y 2) (pow x 2))) (* 1/2 y)) (pow x 2))>
#<alt (/ (+ (* -1/8 (/ (pow y 2) (pow x 2))) (* 1/2 y)) (pow x 2))>
#<alt (/ (+ (* -1/8 (/ (pow y 2) (pow x 2))) (* 1/2 y)) (pow x 2))>
#<alt (* 1/2 (/ y (pow x 2)))>
#<alt (/ (+ (* -1/8 (/ (pow y 2) (pow x 2))) (* 1/2 y)) (pow x 2))>
#<alt (/ (+ (* -1/8 (/ (pow y 2) (pow x 2))) (* 1/2 y)) (pow x 2))>
#<alt (/ (+ (* -1/8 (/ (pow y 2) (pow x 2))) (* 1/2 y)) (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt x>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (* 1/2 (/ y x))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* 1/2 (/ y x))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* 1/2 (/ y x))>
#<alt (/ (+ (* 1/2 y) (pow x 2)) x)>
#<alt (/ (+ (* 1/2 y) (pow x 2)) x)>
#<alt (/ (+ (* 1/2 y) (pow x 2)) x)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt (* -1 (pow x 2))>
#<alt (- (* 1/4 (/ (pow y 2) (pow x 2))) (pow x 2))>
#<alt (- (* 1/4 (/ (pow y 2) (pow x 2))) (pow x 2))>
#<alt (- (* 1/4 (/ (pow y 2) (pow x 2))) (pow x 2))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (/ (+ (* -1 (pow x 4)) (* 1/4 (pow y 2))) (pow x 2))>
#<alt (/ (+ (* -1 (pow x 4)) (* 1/4 (pow y 2))) (pow x 2))>
#<alt (/ (+ (* -1 (pow x 4)) (* 1/4 (pow y 2))) (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 4))) 1))>
#<alt (* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 4))) 1))>
#<alt (* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 4))) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 4))) 1))>
#<alt (* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 4))) 1))>
#<alt (* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 4))) 1))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt (* 1/4 (pow y 2))>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt (* 1/2 (/ y x))>
#<alt (/ (+ (* 1/2 y) (pow x 2)) x)>
#<alt (/ (+ (* 1/2 y) (pow x 2)) x)>
#<alt (/ (+ (* 1/2 y) (pow x 2)) x)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt x>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (* 1/2 (/ y x))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* 1/2 (/ y x))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* 1/2 (/ y x))>
#<alt (/ (+ (* 1/2 y) (pow x 2)) x)>
#<alt (/ (+ (* 1/2 y) (pow x 2)) x)>
#<alt (/ (+ (* 1/2 y) (pow x 2)) x)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt x>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (* 1/2 (/ y x))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* 1/2 (/ y x))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/8 (/ y (pow x 2)))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -2 (/ x y))>
#<alt (* x (- (* -4 (/ (pow x 2) (pow y 2))) (* 2 (/ 1 y))))>
#<alt (* x (- (* (pow x 2) (- (* -8 (/ (pow x 2) (pow y 3))) (* 4 (/ 1 (pow y 2))))) (* 2 (/ 1 y))))>
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -16 (/ (pow x 2) (pow y 4))) (* 8 (/ 1 (pow y 3))))) (* 4 (/ 1 (pow y 2))))) (* 2 (/ 1 y))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 1/2 (/ y (pow x 2)))) x)>
#<alt (/ (- (+ 1 (* 1/4 (/ (pow y 2) (pow x 4)))) (* -1/2 (/ y (pow x 2)))) x)>
#<alt (/ (- (+ 1 (* 1/8 (/ (pow y 3) (pow x 6)))) (+ (* -1/2 (/ y (pow x 2))) (* -1/4 (/ (pow y 2) (pow x 4))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* -1/2 (/ y (pow x 2))) 1) x))>
#<alt (* -1 (/ (- (* -1/4 (/ (pow y 2) (pow x 4))) (+ 1 (* 1/2 (/ y (pow x 2))))) x))>
#<alt (* -1 (/ (- (* -1/8 (/ (pow y 3) (pow x 6))) (+ 1 (+ (* 1/4 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2)))))) x))>
#<alt (/ 1 x)>
#<alt (+ (* 1/2 (/ y (pow x 3))) (/ 1 x))>
#<alt (+ (* y (+ (* 1/4 (/ y (pow x 5))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x))>
#<alt (+ (* y (+ (* y (+ (* 1/8 (/ y (pow x 7))) (* 1/4 (/ 1 (pow x 5))))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x))>
#<alt (* -2 (/ x y))>
#<alt (/ (+ (* -4 (/ (pow x 3) y)) (* -2 x)) y)>
#<alt (/ (- (+ (* -8 (/ (pow x 5) (pow y 2))) (* -2 x)) (* 4 (/ (pow x 3) y))) y)>
#<alt (/ (- (+ (* -16 (/ (pow x 7) (pow y 3))) (* -2 x)) (+ (* 4 (/ (pow x 3) y)) (* 8 (/ (pow x 5) (pow y 2))))) y)>
#<alt (* -2 (/ x y))>
#<alt (* -1 (/ (+ (* 2 x) (* 4 (/ (pow x 3) y))) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -8 (/ (pow x 5) y)) (* 4 (pow x 3))) y)) (* 2 x)) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow x 7) y)) (* -8 (pow x 5))) y)) (* 4 (pow x 3))) y)) (* 2 x)) y))>

Calls

111 calls:

Time	Variable		Point	Expression
9.0ms	y	@	0	(* x (+ 1 (* (/ y (* x x)) (+ 1/2 (/ (* y -1/8) (* x x))))))
1.0ms	x	@	0	(/ (- (/ (* 1/4 (* y y)) (* x x)) (* x x)) (- (/ 1/2 (/ x y)) x))
1.0ms	y	@	inf	(/ (- (/ (* 1/4 (* y y)) (* x x)) (* x x)) (- (/ 1/2 (/ x y)) x))
1.0ms	y	@	0	(/ (- (/ (* 1/4 (* y y)) (* x x)) (* x x)) (- (/ 1/2 (/ x y)) x))
1.0ms	y	@	inf	(/ (* 1/4 (* y y)) (* x x))

rewrite436.0ms (4.4%)

Memory

4.1MiB live, 788.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 802×	`accelerator-lowering-fma.f32`
7 802×	`accelerator-lowering-fma.f64`
4 132×	`/-lowering-/.f32`
4 132×	`/-lowering-/.f64`
3 520×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	154
1	240	150
2	2462	150
0	8172	140

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 1 129

Calls

Call 1

Inputs
(* (/ 1 x) (* y 1/2))
(+ x (* (/ 1 x) (* y 1/2)))
(/ 1 x)
(* y 1/2)
(/ (* y 1/2) x)
(* x (+ 1 (* (/ y (* x x)) (+ 1/2 (/ (* y -1/8) (* x x))))))
(+ 1 (* (/ y (* x x)) (+ 1/2 (/ (* y -1/8) (* x x)))))
(* (/ y (* x x)) (+ 1/2 (/ (* y -1/8) (* x x))))
(/ y (* x x))
(/ (- (/ (* 1/4 (* y y)) (* x x)) (* x x)) (- (/ 1/2 (/ x y)) x))
(- (/ (* 1/4 (* y y)) (* x x)) (* x x))
(/ (* 1/4 (* y y)) (* x x))
(* 1/4 (* y y))
(* (+ x (/ -1/2 (/ x y))) (/ 1 (+ x (/ -1/2 (/ x y)))))
(* (+ x (/ 1/2 (/ x y))) (* (+ x (/ -1/2 (/ x y))) (/ 1 (+ x (/ -1/2 (/ x y))))))
(+ x (/ 1/2 (/ x y)))
(/ 1/2 (/ x y))
(/ (* y -1/8) (* x x))
(/ -1/2 (/ x y))
(/ 1 (+ x (/ -1/2 (/ x y))))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 x (.f64 y #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))
(neg.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (*.f64 y #s(literal -1/2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (neg.f64 (*.f64 y #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(pow.f64 (/.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(.f64 (.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (/.f64 x y)))
(.f64 (.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 y x) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) y)
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 0 binary64) y))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) y)
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(+.f64 x (*.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) x)) y))
(+.f64 x (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)
(+.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x))))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1 binary64)) x)
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y x))))) #s(literal -1 binary64)))
(-.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 y x)))) (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (+.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 y x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x))) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x x)) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x)))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) #s(literal 1 binary64))))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x)))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) #s(literal 1 binary64))))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x)))) (+.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)))) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)))
(-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x))))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x)))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) #s(literal 1 binary64)))))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x)))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) #s(literal 1 binary64)))))))
(-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x)))) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) (+.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x))))) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) (+.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (*.f64 x x))))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x))) (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) (.f64 x x)) (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x))))
(-.f64 (/.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)))) (+.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x))) (+.f64 (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x))) (.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)))))) (/.f64 (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)))) (+.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x))) (+.f64 (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x))) (.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)))))))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 y x)))))) (/.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y))) (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))))))
(-.f64 (/.f64 (.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x))) (+.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)))) (/.f64 (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x))) (+.f64 (/.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)))))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) x)) y))
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) x)) y))
(fma.f64 x #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 1/2 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (.f64 y y) (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) x))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1 binary64) x)
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (/.f64 x y)) x)
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x) x)
(fma.f64 (/.f64 y x) #s(literal 1/2 binary64) x)
(fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (/.f64 (.f64 y y) x) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x))))
(fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 0 binary64) y) x)
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(.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x x)) (-.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y))) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))))
(.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x x)) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x x))) (+.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) (-.f64 (.f64 #s(literal 1/64 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x)))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) #s(literal 1 binary64))))))
(.f64 (pow.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) (-.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (.f64 y y) (.f64 x x)))) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (*.f64 x x)))))
(exp.f64 (.f64 (log.f64 (/.f64 x (.f64 y #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))
(neg.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (*.f64 y #s(literal -1/2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (neg.f64 (*.f64 y #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(pow.f64 (/.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(.f64 (.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (/.f64 x y)))
(.f64 (.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 y x) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) y)
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 0 binary64) y))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) y)
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x x) (*.f64 y #s(literal -1/8 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))) (/.f64 (.f64 y #s(literal -1/8 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(neg.f64 (/.f64 (.f64 y #s(literal -1/8 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x x))))
(neg.f64 (/.f64 (.f64 y #s(literal 1/8 binary64)) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (.f64 y #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 x x) (.f64 y #s(literal -1/8 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 y #s(literal -1/8 binary64)) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (.f64 x x) (.f64 y #s(literal -1/8 binary64))))))
(/.f64 (.f64 y #s(literal -1/8 binary64)) (.f64 x x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x x) (.f64 y #s(literal -1/8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (.f64 x x) (.f64 y #s(literal -1/8 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 (*.f64 y #s(literal -1/8 binary64)) x))))
(/.f64 (.f64 y #s(literal 1/8 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(/.f64 (/.f64 (*.f64 y #s(literal -1/8 binary64)) x) x)
(/.f64 (.f64 (.f64 y #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (neg.f64 (.f64 y #s(literal 1/8 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))))
(/.f64 (neg.f64 (/.f64 (*.f64 y #s(literal -1/8 binary64)) x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (/.f64 y x) #s(literal -1/8 binary64)) x)
(/.f64 (neg.f64 (.f64 (.f64 y #s(literal -1/8 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (.f64 y #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 y #s(literal -1/8 binary64)) x))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (*.f64 (/.f64 y x) #s(literal -1/8 binary64))) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 (.f64 x x) (.f64 y #s(literal -1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 x x) (.f64 y #s(literal -1/8 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 (*.f64 y #s(literal -1/8 binary64)) x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 y #s(literal -1/8 binary64)) (*.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 y #s(literal -1/8 binary64)) x))
(.f64 y (/.f64 #s(literal -1/8 binary64) (.f64 x x)))
(.f64 #s(literal -1/8 binary64) (/.f64 y (.f64 x x)))
(.f64 (.f64 y #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (.f64 y #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(*.f64 (/.f64 y x) (/.f64 #s(literal -1/8 binary64) x))
(*.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 y x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 y #s(literal -1/8 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/8 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 y #s(literal -1/8 binary64)) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) y)
(exp.f64 (.f64 (log.f64 (/.f64 x (.f64 y #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (*.f64 y #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(/.f64 #s(literal -1/2 binary64) (/.f64 x y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 y #s(literal -1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (*.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x)
(/.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (*.f64 y #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(pow.f64 (/.f64 x (*.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (*.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 y (/.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
(*.f64 (/.f64 y x) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 0 binary64) y))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) y)
(exp.f64 (.f64 (log.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 y x)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)))
(/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)))
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) x))))
(pow.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) #s(literal -1 binary64))
(pow.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 y x)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 y x)))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)))
(.f64 (pow.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 y x))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y))) (.f64 x (.f64 x x))))) (+.f64 (.f64 x x) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) x) (/.f64 x (*.f64 y #s(literal -1/2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 y (.f64 y y))) (.f64 x (.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) x) (/.f64 x (*.f64 y #s(literal -1/2 binary64)))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)))) (+.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y x))))

simplify742.0ms (7.6%)

Memory

22.0MiB live, 856.3MiB allocated

Algorithm

1×	egg-herbie

Rules

13 354×	`accelerator-lowering-fma.f32`
13 354×	`accelerator-lowering-fma.f64`
5 480×	`-lowering-.f32`
5 480×	`-lowering-.f64`
1 850×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	241	3736
1	671	3721
2	1755	3699
3	5595	3403
0	8484	3237

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

Inputs
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(/ (+ (* 1/2 y) (pow x 2)) x)
(/ (+ (* 1/2 y) (pow x 2)) x)
(/ (+ (* 1/2 y) (pow x 2)) x)
x
(* x (+ 1 (* 1/2 (/ y (pow x 2)))))
(* x (+ 1 (* 1/2 (/ y (pow x 2)))))
(* x (+ 1 (* 1/2 (/ y (pow x 2)))))
x
(* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))
(* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))
(* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))
x
(+ x (* 1/2 (/ y x)))
(+ x (* 1/2 (/ y x)))
(+ x (* 1/2 (/ y x)))
(* 1/2 (/ y x))
(* y (+ (* 1/2 (/ 1 x)) (/ x y)))
(* y (+ (* 1/2 (/ 1 x)) (/ x y)))
(* y (+ (* 1/2 (/ 1 x)) (/ x y)))
(* 1/2 (/ y x))
(* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))
(* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))
(* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* -1/8 (/ (pow y 2) (pow x 3)))
(/ (+ (* -1/8 (pow y 2)) (* 1/2 (* (pow x 2) y))) (pow x 3))
(/ (+ (* -1/8 (pow y 2)) (* (pow x 2) (+ (* 1/2 y) (pow x 2)))) (pow x 3))
(/ (+ (* -1/8 (pow y 2)) (* (pow x 2) (+ (* 1/2 y) (pow x 2)))) (pow x 3))
x
(* x (+ 1 (* 1/2 (/ y (pow x 2)))))
(* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2))))))
(* x (+ 1 (+ (* -1/8 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2))))))
x
(* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))
(* -1 (* x (- (+ (* -1/2 (/ y (pow x 2))) (* 1/8 (/ (pow y 2) (pow x 4)))) 1)))
(* -1 (* x (- (+ (* -1/2 (/ y (pow x 2))) (* 1/8 (/ (pow y 2) (pow x 4)))) 1)))
x
(+ x (* 1/2 (/ y x)))
(+ x (* y (+ (* -1/8 (/ y (pow x 3))) (* 1/2 (/ 1 x)))))
(+ x (* y (+ (* -1/8 (/ y (pow x 3))) (* 1/2 (/ 1 x)))))
(* -1/8 (/ (pow y 2) (pow x 3)))
(* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/8 (/ 1 (pow x 3)))))
(* (pow y 2) (- (+ (/ 1/2 (* x y)) (/ x (pow y 2))) (* 1/8 (/ 1 (pow x 3)))))
(* (pow y 2) (- (+ (/ 1/2 (* x y)) (/ x (pow y 2))) (* 1/8 (/ 1 (pow x 3)))))
(* -1/8 (/ (pow y 2) (pow x 3)))
(* (pow y 2) (- (* 1/2 (/ 1 (* x y))) (* 1/8 (/ 1 (pow x 3)))))
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ x y)) (* 1/2 (/ 1 x))) y)) (* 1/8 (/ 1 (pow x 3)))))
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ x y)) (* 1/2 (/ 1 x))) y)) (* 1/8 (/ 1 (pow x 3)))))
1
(+ 1 (* 1/2 (/ y (pow x 2))))
(+ 1 (* y (+ (* -1/8 (/ y (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))
(+ 1 (* y (+ (* -1/8 (/ y (pow x 4))) (* 1/2 (/ 1 (pow x 2))))))
(* -1/8 (/ (pow y 2) (pow x 4)))
(* (pow y 2) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/8 (/ 1 (pow x 4)))))
(* (pow y 2) (- (+ (/ 1/2 (* (pow x 2) y)) (/ 1 (pow y 2))) (* 1/8 (/ 1 (pow x 4)))))
(* (pow y 2) (- (+ (/ 1/2 (* (pow x 2) y)) (/ 1 (pow y 2))) (* 1/8 (/ 1 (pow x 4)))))
(* -1/8 (/ (pow y 2) (pow x 4)))
(* (pow y 2) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/8 (/ 1 (pow x 4)))))
(* (pow y 2) (- (+ (/ 1/2 (* (pow x 2) y)) (/ 1 (pow y 2))) (* 1/8 (/ 1 (pow x 4)))))
(* (pow y 2) (- (+ (/ 1/2 (* (pow x 2) y)) (/ 1 (pow y 2))) (* 1/8 (/ 1 (pow x 4)))))
(* -1/8 (/ (pow y 2) (pow x 4)))
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(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) x)) x)
(/ (- (+ 1 (* 1/4 (/ (pow y 2) (pow x 4)))) (* -1/2 (/ y (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x)) (/.f64 (.f64 (.f64 y (/.f64 y (.f64 x x))) #s(literal 1/4 binary64)) (.f64 x x)))) x)
(/ (- (+ 1 (* 1/8 (/ (pow y 3) (pow x 6)))) (+ (* -1/2 (/ y (pow x 2))) (* -1/4 (/ (pow y 2) (pow x 4))))) x)
(/.f64 (+.f64 (/.f64 (.f64 y (.f64 y (.f64 y #s(literal 1/8 binary64)))) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x)) (/.f64 (.f64 (.f64 y (/.f64 y (.f64 x x))) #s(literal 1/4 binary64)) (*.f64 x x))))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* -1/2 (/ y (pow x 2))) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) x)) x)
(* -1 (/ (- (* -1/4 (/ (pow y 2) (pow x 4))) (+ 1 (* 1/2 (/ y (pow x 2))))) x))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x)) (/.f64 (.f64 (.f64 y (/.f64 y (.f64 x x))) #s(literal 1/4 binary64)) (.f64 x x)))) x)
(* -1 (/ (- (* -1/8 (/ (pow y 3) (pow x 6))) (+ 1 (+ (* 1/4 (/ (pow y 2) (pow x 4))) (* 1/2 (/ y (pow x 2)))))) x))
(/.f64 (+.f64 (/.f64 (.f64 y (.f64 y (.f64 y #s(literal 1/8 binary64)))) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x)) (/.f64 (.f64 (.f64 y (/.f64 y (.f64 x x))) #s(literal 1/4 binary64)) (*.f64 x x))))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* 1/2 (/ y (pow x 3))) (/ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) x)) x)
(+ (* y (+ (* 1/4 (/ y (pow x 5))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x)) (/.f64 (.f64 (.f64 y (/.f64 y (.f64 x x))) #s(literal 1/4 binary64)) (.f64 x x)))) x)
(+ (* y (+ (* y (+ (* 1/8 (/ y (pow x 7))) (* 1/4 (/ 1 (pow x 5))))) (* 1/2 (/ 1 (pow x 3))))) (/ 1 x))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 y x) #s(literal -1/2 binary64)) x)) x) (.f64 (.f64 y y) (+.f64 (/.f64 (.f64 y #s(literal 1/8 binary64)) (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x x)))))))
(* -2 (/ x y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/ (+ (* -4 (/ (pow x 3) y)) (* -2 x)) y)
(/.f64 (+.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal -4 binary64))) y) (.f64 x #s(literal -2 binary64))) y)
(/ (- (+ (* -8 (/ (pow x 5) (pow y 2))) (* -2 x)) (* 4 (/ (pow x 3) y))) y)
(/.f64 (-.f64 (.f64 x #s(literal -2 binary64)) (/.f64 (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 #s(literal 8 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x (*.f64 x x))) y))) y)) y)
(/ (- (+ (* -16 (/ (pow x 7) (pow y 3))) (* -2 x)) (+ (* 4 (/ (pow x 3) y)) (* 8 (/ (pow x 5) (pow y 2))))) y)
(/.f64 (+.f64 (.f64 x #s(literal -2 binary64)) (/.f64 (+.f64 (/.f64 (+.f64 (.f64 #s(literal -8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (/.f64 (.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 7 binary64))) y)) y) (.f64 x (.f64 (.f64 x x) #s(literal -4 binary64)))) y)) y)
(* -2 (/ x y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(* -1 (/ (+ (* 2 x) (* 4 (/ (pow x 3) y))) y))
(/.f64 (+.f64 (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal -4 binary64))) y) (.f64 x #s(literal -2 binary64))) y)
(* -1 (/ (+ (* -1 (/ (- (* -8 (/ (pow x 5) y)) (* 4 (pow x 3))) y)) (* 2 x)) y))
(/.f64 (-.f64 (.f64 x #s(literal -2 binary64)) (/.f64 (+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 4 binary64))) (.f64 #s(literal 8 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x (*.f64 x x))) y))) y)) y)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow x 7) y)) (* -8 (pow x 5))) y)) (* 4 (pow x 3))) y)) (* 2 x)) y))
(/.f64 (+.f64 (.f64 x #s(literal -2 binary64)) (/.f64 (+.f64 (/.f64 (+.f64 (.f64 #s(literal -8 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (/.f64 (.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 7 binary64))) y)) y) (.f64 x (.f64 (.f64 x x) #s(literal -4 binary64)))) y)) y)

eval442.0ms (4.5%)

Memory: -9.3MiB live, 532.8MiB allocated
Compiler: Compiled 51 009 to 2 921 computations (94.3% saved)

prune170.0ms (1.7%)

Memory

-9.9MiB live, 383.3MiB allocated

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	1 678	18	1 696
Fresh	6	1	7
Picked	4	1	5
Done	0	4	4
Total	1 688	24	1 712

Accuracy

100.0%

Counts

1 712 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.8%	(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))
	33.3%	(/.f64 (-.f64 (/.f64 (.f64 (/.f64 #s(literal 1/4 binary64) x) (.f64 y y)) x) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
	33.1%	(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x x)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) x))
▶	33.3%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) x))) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
▶	36.5%	(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (/.f64 x y) (/.f64 x y))) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
	36.5%	(/.f64 (-.f64 (.f64 (/.f64 (.f64 y #s(literal 1/4 binary64)) x) (/.f64 y x)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
▶	2.6%	(/.f64 (.f64 (.f64 y (/.f64 y (*.f64 x x))) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
	36.0%	(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 y (/.f64 y (.f64 x x))) #s(literal 1/4 binary64)) (.f64 x x)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
✓	3.8%	(/.f64 (*.f64 y #s(literal 1/2 binary64)) x)
	3.8%	(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
▶	68.1%	(-.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))
✓	66.7%	(+.f64 x (.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 y (*.f64 x x))))))
	33.0%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x x)))
▶	3.8%	(*.f64 (/.f64 #s(literal 1/2 binary64) x) y)
	21.5%	(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 y x) (.f64 y (/.f64 y (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (/.f64 y x) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))))))
	66.4%	(.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x)) (/.f64 (.f64 (.f64 y (/.f64 y (.f64 x x))) #s(literal 1/4 binary64)) (.f64 x x)))) x)))
	67.6%	(.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))))))
	67.6%	(.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (/.f64 #s(literal -1/2 binary64) x) y)))))
	3.6%	(.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))) (*.f64 x (/.f64 #s(literal -2 binary64) y))))
	66.7%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y #s(literal -1/8 binary64)) (.f64 x x))) (/.f64 (.f64 x x) y))) x)
	68.0%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 x x))))
✓	68.9%	(sqrt.f64 (+.f64 (*.f64 x x) y))
✓	34.9%	(sqrt.f64 y)
✓	67.3%	x

Compiler

Compiled 877 to 522 computations (40.5% saved)

simplify223.0ms (2.3%)

Memory

9.1MiB live, 239.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) x))
✓	cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) x))) (*.f64 x x))
✓	cost-diff	0	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) x))) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) x)))
✓	cost-diff	0	(*.f64 (/.f64 x y) (/.f64 x y))
✓	cost-diff	0	(/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y)))
✓	cost-diff	0	(-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (/.f64 x y) (/.f64 x y))) (.f64 x x))
✓	cost-diff	0	(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (/.f64 x y) (/.f64 x y))) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
✓	cost-diff	0	(/.f64 y (*.f64 x x))
✓	cost-diff	0	(.f64 y (/.f64 y (.f64 x x)))
✓	cost-diff	0	(.f64 (.f64 y (/.f64 y (*.f64 x x))) #s(literal 1/4 binary64))
✓	cost-diff	0	(/.f64 (.f64 (.f64 y (/.f64 y (*.f64 x x))) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(*.f64 (/.f64 #s(literal 1/2 binary64) x) y)
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
✓	cost-diff	0	(-.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))

Rules

3 920×	`-lowering-.f32`
3 920×	`-lowering-.f64`
2 386×	`/-lowering-/.f32`
2 386×	`/-lowering-/.f64`
1 970×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	251
1	79	251
2	179	251
3	451	251
4	1626	251
5	5283	251
0	8349	245

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- x (* -1/2 (/ y x)))
x
(* -1/2 (/ y x))
-1/2
(/ y x)
y
(* (/ 1/2 x) y)
(/ 1/2 x)
1/2
x
y
(/ (* (* y (/ y (* x x))) 1/4) (- (/ 1/2 (/ x y)) x))
(* (* y (/ y (* x x))) 1/4)
(* y (/ y (* x x)))
y
(/ y (* x x))
(* x x)
x
1/4
(- (/ 1/2 (/ x y)) x)
(/ 1/2 (/ x y))
1/2
(/ x y)
(/ (- (/ 1/4 (* (/ x y) (/ x y))) (* x x)) (- (/ 1/2 (/ x y)) x))
(- (/ 1/4 (* (/ x y) (/ x y))) (* x x))
(/ 1/4 (* (/ x y) (/ x y)))
1/4
(* (/ x y) (/ x y))
(/ x y)
x
y
(* x x)
(- (/ 1/2 (/ x y)) x)
(/ 1/2 (/ x y))
1/2
(/ (- (/ 1 (/ x (/ (* 1/4 (* y y)) x))) (* x x)) (- (/ 1/2 (/ x y)) x))
(- (/ 1 (/ x (/ (* 1/4 (* y y)) x))) (* x x))
(/ 1 (/ x (/ (* 1/4 (* y y)) x)))
1
(/ x (/ (* 1/4 (* y y)) x))
x
(/ (* 1/4 (* y y)) x)
(* 1/4 (* y y))
1/4
(* y y)
y
(* x x)
(- (/ 1/2 (/ x y)) x)
(/ 1/2 (/ x y))
1/2
(/ x y)

Outputs
(- x (* -1/2 (/ y x)))
(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
x
(* -1/2 (/ y x))
(/.f64 #s(literal -1/2 binary64) (/.f64 x y))
-1/2
#s(literal -1/2 binary64)
(/ y x)
(/.f64 y x)
y
(* (/ 1/2 x) y)
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
x
y
(/ (* (* y (/ y (* x x))) 1/4) (- (/ 1/2 (/ x y)) x))
(/.f64 y (/.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)) (/.f64 y (/.f64 x #s(literal 1/4 binary64)))))
(* (* y (/ y (* x x))) 1/4)
(/.f64 #s(literal 1/4 binary64) (/.f64 x (/.f64 y (/.f64 x y))))
(* y (/ y (* x x)))
(/.f64 (/.f64 y (/.f64 x y)) x)
y
(/ y (* x x))
(/.f64 y (*.f64 x x))
(* x x)
(*.f64 x x)
x
1/4
#s(literal 1/4 binary64)
(- (/ 1/2 (/ x y)) x)
(-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)
(/ 1/2 (/ x y))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
1/2
#s(literal 1/2 binary64)
(/ x y)
(/.f64 x y)
(/ (- (/ 1/4 (* (/ x y) (/ x y))) (* x x)) (- (/ 1/2 (/ x y)) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 x (/.f64 y (/.f64 x y)))) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(- (/ 1/4 (* (/ x y) (/ x y))) (* x x))
(-.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 x (/.f64 y (/.f64 x y)))) (*.f64 x x))
(/ 1/4 (* (/ x y) (/ x y)))
(/.f64 #s(literal 1/4 binary64) (/.f64 x (/.f64 y (/.f64 x y))))
1/4
#s(literal 1/4 binary64)
(* (/ x y) (/ x y))
(/.f64 x (/.f64 y (/.f64 x y)))
(/ x y)
(/.f64 x y)
x
y
(* x x)
(*.f64 x x)
(- (/ 1/2 (/ x y)) x)
(-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)
(/ 1/2 (/ x y))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
1/2
#s(literal 1/2 binary64)
(/ (- (/ 1 (/ x (/ (* 1/4 (* y y)) x))) (* x x)) (- (/ 1/2 (/ x y)) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 x (/.f64 y (/.f64 x y)))) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(- (/ 1 (/ x (/ (* 1/4 (* y y)) x))) (* x x))
(-.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 x (/.f64 y (/.f64 x y)))) (*.f64 x x))
(/ 1 (/ x (/ (* 1/4 (* y y)) x)))
(/.f64 #s(literal 1/4 binary64) (/.f64 x (/.f64 y (/.f64 x y))))
1
#s(literal 1 binary64)
(/ x (/ (* 1/4 (* y y)) x))
(/.f64 x (/.f64 y (/.f64 (/.f64 x y) #s(literal 1/4 binary64))))
x
(/ (* 1/4 (* y y)) x)
(/.f64 y (/.f64 (/.f64 x y) #s(literal 1/4 binary64)))
(* 1/4 (* y y))
(.f64 y (.f64 y #s(literal 1/4 binary64)))
1/4
#s(literal 1/4 binary64)
(* y y)
(*.f64 y y)
y
(* x x)
(*.f64 x x)
(- (/ 1/2 (/ x y)) x)
(-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)
(/ 1/2 (/ x y))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
1/2
#s(literal 1/2 binary64)
(/ x y)
(/.f64 x y)

localize110.0ms (1.1%)

Memory

14.9MiB live, 251.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
✓	accuracy	93.7%	(/.f64 x (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) x))
✓	accuracy	89.1%	(/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) x)
✓	accuracy	51.7%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) x))) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
✓	accuracy	99.6%	(*.f64 (/.f64 x y) (/.f64 x y))
✓	accuracy	99.4%	(/.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y)))
✓	accuracy	98.9%	(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
✓	accuracy	51.7%	(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (/.f64 x y) (/.f64 x y))) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
✓	accuracy	98.9%	(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
✓	accuracy	94.7%	(.f64 y (/.f64 y (.f64 x x)))
✓	accuracy	87.5%	(/.f64 y (*.f64 x x))
✓	accuracy	81.0%	(/.f64 (.f64 (.f64 y (/.f64 y (*.f64 x x))) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) x)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1/2 binary64) x) y)
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(-.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))
✓	accuracy	100.0%	(*.f64 #s(literal -1/2 binary64) (/.f64 y x))

Samples

61.0ms

256×

valid

Compiler

Compiled 259 to 32 computations (87.6% saved)

Precisions

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

ival-div: 26.0ms (61.6% of total)

ival-mult: 11.0ms (26.1% of total)

ival-sub: 4.0ms (9.5% of total)

exact: 1.0ms (2.4% of total)

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

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

series17.0ms (0.2%)

Memory

-7.4MiB live, 30.1MiB allocated

Counts

19 → 444

Calls

Call 1

Inputs
#<alt (- x (* -1/2 (/ y x)))>
#<alt (* -1/2 (/ y x))>
#<alt (/ y x)>
#<alt (* (/ 1/2 x) y)>
#<alt (/ 1/2 x)>
#<alt (/ (* (* y (/ y (* x x))) 1/4) (- (/ 1/2 (/ x y)) x))>
#<alt (* (* y (/ y (* x x))) 1/4)>
#<alt (* y (/ y (* x x)))>
#<alt (/ y (* x x))>
#<alt (/ (- (/ 1/4 (* (/ x y) (/ x y))) (* x x)) (- (/ 1/2 (/ x y)) x))>
#<alt (- (/ 1/4 (* (/ x y) (/ x y))) (* x x))>
#<alt (/ 1/4 (* (/ x y) (/ x y)))>
#<alt (* (/ x y) (/ x y))>
#<alt (/ 1 (/ x (/ (* 1/4 (* y y)) x)))>
#<alt (/ (- (/ 1 (/ x (/ (* 1/4 (* y y)) x))) (* x x)) (- (/ 1/2 (/ x y)) x))>
#<alt (- (/ 1 (/ x (/ (* 1/4 (* y y)) x))) (* x x))>
#<alt (/ x (/ (* 1/4 (* y y)) x))>
#<alt (/ 1/2 (/ x y))>
#<alt (/ (* 1/4 (* y y)) x)>

Outputs
#<alt (* 1/2 (/ y x))>
#<alt (/ (- (pow x 2) (* -1/2 y)) x)>
#<alt (/ (- (pow x 2) (* -1/2 y)) x)>
#<alt (/ (- (pow x 2) (* -1/2 y)) x)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt x>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (* 1/2 (/ y x))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* 1/2 (/ y x))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (* -1/4 (/ (pow y 2) (pow x 3)))>
#<alt (* (pow y 2) (- (* -1/8 (/ y (pow x 5))) (* 1/4 (/ 1 (pow x 3)))))>
#<alt (* (pow y 2) (- (* y (- (* -1/16 (/ y (pow x 7))) (* 1/8 (/ 1 (pow x 5))))) (* 1/4 (/ 1 (pow x 3)))))>
#<alt (* (pow y 2) (- (* y (- (* y (- (* -1/32 (/ y (pow x 9))) (* 1/16 (/ 1 (pow x 7))))) (* 1/8 (/ 1 (pow x 5))))) (* 1/4 (/ 1 (pow x 3)))))>
#<alt (* 1/2 (/ y x))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* y (- (+ (* 2 (/ (pow x 3) (pow y 2))) (* 1/2 (/ 1 x))) (* -1 (/ x y))))>
#<alt (* y (- (+ (* 4 (/ (pow x 5) (pow y 3))) (* 1/2 (/ 1 x))) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -1 (/ x y)))))>
#<alt (* 1/2 (/ y x))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (* -1 (/ (- (* 2 (/ (pow x 3) y)) (* -1 x)) y)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (* -4 (/ (pow x 5) y)) (* 2 (pow x 3))) y)) (* -1 x)) y)) (* 1/2 (/ 1 x)))))>
#<alt (* 1/2 (/ y x))>
#<alt (/ (+ (* 1/2 y) (pow x 2)) x)>
#<alt (/ (+ (* 1/2 y) (* (pow x 2) (+ 1 (* 2 (/ (pow x 2) y))))) x)>
#<alt (/ (+ (* 1/2 y) (* (pow x 2) (+ 1 (* (pow x 2) (+ (* 4 (/ (pow x 2) (pow y 2))) (* 2 (/ 1 y))))))) x)>
#<alt (* -1/4 (/ (pow y 2) (pow x 3)))>
#<alt (/ (+ (* -1/4 (pow y 2)) (* -1/8 (/ (pow y 3) (pow x 2)))) (pow x 3))>
#<alt (/ (+ (* -1/4 (pow y 2)) (+ (* -1/8 (/ (pow y 3) (pow x 2))) (* -1/16 (/ (pow y 4) (pow x 4))))) (pow x 3))>
#<alt (/ (+ (* -1/4 (pow y 2)) (+ (* -1/8 (/ (pow y 3) (pow x 2))) (+ (* -1/16 (/ (pow y 4) (pow x 4))) (* -1/32 (/ (pow y 5) (pow x 6)))))) (pow x 3))>
#<alt (* -1/4 (/ (pow y 2) (pow x 3)))>
#<alt (* -1 (/ (+ (* 1/8 (/ (pow y 3) (pow x 2))) (* 1/4 (pow y 2))) (pow x 3)))>
#<alt (* -1 (/ (+ (* 1/16 (/ (pow y 4) (pow x 4))) (+ (* 1/8 (/ (pow y 3) (pow x 2))) (* 1/4 (pow y 2)))) (pow x 3)))>
#<alt (* -1 (/ (+ (* 1/32 (/ (pow y 5) (pow x 6))) (+ (* 1/16 (/ (pow y 4) (pow x 4))) (+ (* 1/8 (/ (pow y 3) (pow x 2))) (* 1/4 (pow y 2))))) (pow x 3)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ (pow y 2) (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (/ y (pow x 2))>
#<alt (* 1/2 (/ y x))>
#<alt (/ (+ (* 1/2 y) (pow x 2)) x)>
#<alt (/ (+ (* 1/2 y) (pow x 2)) x)>
#<alt (/ (+ (* 1/2 y) (pow x 2)) x)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt x>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (* 1/2 (/ y x))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* 1/2 (/ y x))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (/ (+ (* -1 (pow x 4)) (* 1/4 (pow y 2))) (pow x 2))>
#<alt (/ (+ (* -1 (pow x 4)) (* 1/4 (pow y 2))) (pow x 2))>
#<alt (/ (+ (* -1 (pow x 4)) (* 1/4 (pow y 2))) (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 4))) 1))>
#<alt (* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 4))) 1))>
#<alt (* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 4))) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 4))) 1))>
#<alt (* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 4))) 1))>
#<alt (* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 4))) 1))>
#<alt (* -1 (pow x 2))>
#<alt (- (* 1/4 (/ (pow y 2) (pow x 2))) (pow x 2))>
#<alt (- (* 1/4 (/ (pow y 2) (pow x 2))) (pow x 2))>
#<alt (- (* 1/4 (/ (pow y 2) (pow x 2))) (pow x 2))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (/ (pow x 2) (pow y 2))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* 1/2 (/ y x))>
#<alt (/ (+ (* 1/2 y) (pow x 2)) x)>
#<alt (/ (+ (* 1/2 y) (pow x 2)) x)>
#<alt (/ (+ (* 1/2 y) (pow x 2)) x)>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt (* x (+ 1 (* 1/2 (/ y (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))>
#<alt x>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (+ x (* 1/2 (/ y x)))>
#<alt (* 1/2 (/ y x))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* y (+ (* 1/2 (/ 1 x)) (/ x y)))>
#<alt (* 1/2 (/ y x))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (/ (+ (* -1 (pow x 4)) (* 1/4 (pow y 2))) (pow x 2))>
#<alt (/ (+ (* -1 (pow x 4)) (* 1/4 (pow y 2))) (pow x 2))>
#<alt (/ (+ (* -1 (pow x 4)) (* 1/4 (pow y 2))) (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 4))) 1))>
#<alt (* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 4))) 1))>
#<alt (* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 4))) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 4))) 1))>
#<alt (* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 4))) 1))>
#<alt (* (pow x 2) (- (* 1/4 (/ (pow y 2) (pow x 4))) 1))>
#<alt (* -1 (pow x 2))>
#<alt (- (* 1/4 (/ (pow y 2) (pow x 2))) (pow x 2))>
#<alt (- (* 1/4 (/ (pow y 2) (pow x 2))) (pow x 2))>
#<alt (- (* 1/4 (/ (pow y 2) (pow x 2))) (pow x 2))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* 1/4 (/ (pow y 2) (pow x 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (+ (* -1 (/ (pow x 2) (pow y 2))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (* 4 (/ (pow x 2) (pow y 2)))>
#<alt (* 4 (/ (pow x 2) (pow y 2)))>
#<alt (* 4 (/ (pow x 2) (pow y 2)))>
#<alt (* 4 (/ (pow x 2) (pow y 2)))>
#<alt (* 4 (/ (pow x 2) (pow y 2)))>
#<alt (* 4 (/ (pow x 2) (pow y 2)))>
#<alt (* 4 (/ (pow x 2) (pow y 2)))>
#<alt (* 4 (/ (pow x 2) (pow y 2)))>
#<alt (* 4 (/ (pow x 2) (pow y 2)))>
#<alt (* 4 (/ (pow x 2) (pow y 2)))>
#<alt (* 4 (/ (pow x 2) (pow y 2)))>
#<alt (* 4 (/ (pow x 2) (pow y 2)))>
#<alt (* 4 (/ (pow x 2) (pow y 2)))>
#<alt (* 4 (/ (pow x 2) (pow y 2)))>
#<alt (* 4 (/ (pow x 2) (pow y 2)))>
#<alt (* 4 (/ (pow x 2) (pow y 2)))>
#<alt (* 4 (/ (pow x 2) (pow y 2)))>
#<alt (* 4 (/ (pow x 2) (pow y 2)))>
#<alt (* 4 (/ (pow x 2) (pow y 2)))>
#<alt (* 4 (/ (pow x 2) (pow y 2)))>
#<alt (* 4 (/ (pow x 2) (pow y 2)))>
#<alt (* 4 (/ (pow x 2) (pow y 2)))>
#<alt (* 4 (/ (pow x 2) (pow y 2)))>
#<alt (* 4 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/2 (/ y x))>
#<alt (* 1/4 (/ (pow y 2) x))>
#<alt (* 1/4 (/ (pow y 2) x))>
#<alt (* 1/4 (/ (pow y 2) x))>
#<alt (* 1/4 (/ (pow y 2) x))>
#<alt (* 1/4 (/ (pow y 2) x))>
#<alt (* 1/4 (/ (pow y 2) x))>
#<alt (* 1/4 (/ (pow y 2) x))>
#<alt (* 1/4 (/ (pow y 2) x))>
#<alt (* 1/4 (/ (pow y 2) x))>
#<alt (* 1/4 (/ (pow y 2) x))>
#<alt (* 1/4 (/ (pow y 2) x))>
#<alt (* 1/4 (/ (pow y 2) x))>
#<alt (* 1/4 (/ (pow y 2) x))>
#<alt (* 1/4 (/ (pow y 2) x))>
#<alt (* 1/4 (/ (pow y 2) x))>
#<alt (* 1/4 (/ (pow y 2) x))>
#<alt (* 1/4 (/ (pow y 2) x))>
#<alt (* 1/4 (/ (pow y 2) x))>
#<alt (* 1/4 (/ (pow y 2) x))>
#<alt (* 1/4 (/ (pow y 2) x))>
#<alt (* 1/4 (/ (pow y 2) x))>
#<alt (* 1/4 (/ (pow y 2) x))>
#<alt (* 1/4 (/ (pow y 2) x))>
#<alt (* 1/4 (/ (pow y 2) x))>

Calls

111 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(- x (* -1/2 (/ y x)))
1.0ms	y	@	inf	(/ (* (* y (/ y (* x x))) 1/4) (- (/ 1/2 (/ x y)) x))
1.0ms	x	@	inf	(/ (* (* y (/ y (* x x))) 1/4) (- (/ 1/2 (/ x y)) x))
1.0ms	y	@	0	(/ (* (* y (/ y (* x x))) 1/4) (- (/ 1/2 (/ x y)) x))
0.0ms	x	@	inf	(/ (* 1/4 (* y y)) x)

rewrite504.0ms (5.1%)

Memory

5.3MiB live, 806.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 996×	`accelerator-lowering-fma.f32`
4 996×	`accelerator-lowering-fma.f64`
4 948×	`-lowering-.f32`
4 948×	`-lowering-.f64`
4 448×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	141
1	193	129
2	1787	129
0	8408	126

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1 414

Calls

Call 1

Inputs
(- x (* -1/2 (/ y x)))
(* -1/2 (/ y x))
(/ y x)
(* (/ 1/2 x) y)
(/ 1/2 x)
(/ (* (* y (/ y (* x x))) 1/4) (- (/ 1/2 (/ x y)) x))
(* (* y (/ y (* x x))) 1/4)
(* y (/ y (* x x)))
(/ y (* x x))
(/ (- (/ 1/4 (* (/ x y) (/ x y))) (* x x)) (- (/ 1/2 (/ x y)) x))
(- (/ 1/4 (* (/ x y) (/ x y))) (* x x))
(/ 1/4 (* (/ x y) (/ x y)))
(* (/ x y) (/ x y))
(/ 1 (/ x (/ (* 1/4 (* y y)) x)))
(/ (- (/ 1 (/ x (/ (* 1/4 (* y y)) x))) (* x x)) (- (/ 1/2 (/ x y)) x))
(- (/ 1 (/ x (/ (* 1/4 (* y y)) x))) (* x x))
(/ x (/ (* 1/4 (* y y)) x))
(/ 1/2 (/ x y))
(/ (* 1/4 (* y y)) x)

Outputs
(+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)
(+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))))) #s(literal -1 binary64)))
(-.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 x y)) (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y)))))) (/.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (/.f64 x y) (/.f64 (/.f64 x (/.f64 y x)) y))) (+.f64 (.f64 x x) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 x y)) (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y)))))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 (/.f64 x y) (/.f64 (/.f64 x (/.f64 y x)) y)) (.f64 (/.f64 x y) (/.f64 (/.f64 x (/.f64 y x)) y)))) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)))) (/.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (/.f64 x (/.f64 y x)) y))))) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)) (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)))) (/.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (/.f64 x (/.f64 y x)) y))))) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (/.f64 x (/.f64 y x)) y))) (+.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)) (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))))
(-.f64 (/.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 (/.f64 x y) (/.f64 (/.f64 x (/.f64 y x)) y)) (.f64 (/.f64 x y) (/.f64 (/.f64 x (/.f64 y x)) y)))) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)))) (/.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (/.f64 x (/.f64 y x)) y)))))) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)))) (/.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (/.f64 x (/.f64 y x)) y)))))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (-.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(-.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (/.f64 x (/.f64 y x)) y))) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) (+.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y))))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) (+.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y))))))
(-.f64 (/.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))) (/.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) (.f64 x x)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))))
(-.f64 (/.f64 (.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)) (.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)) (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)))) (+.f64 (.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)) (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))) (+.f64 (.f64 (/.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))) (.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)))))) (/.f64 (.f64 (/.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)) (.f64 (/.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)))) (+.f64 (.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)) (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))) (+.f64 (.f64 (/.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))) (.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)))))))
(-.f64 (/.f64 (.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)) (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))) (+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)))) (/.f64 (.f64 (/.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))) (+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)) (/.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)))))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 y x)) x)
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (/.f64 x y)) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 y (.f64 (/.f64 y (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))))
(fma.f64 y (.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 x (/.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))) (neg.f64 (/.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))))
(fma.f64 y (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 x (/.f64 y x))) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))))
(fma.f64 (/.f64 y x) #s(literal 1/2 binary64) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) y x)
(fma.f64 (/.f64 y (.f64 x x)) (.f64 y (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))))
(fma.f64 (/.f64 y (/.f64 x (/.f64 y x))) (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))))
(fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 y (/.f64 x (/.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))) (neg.f64 (/.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 y (/.f64 x (/.f64 y x))) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 x y)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)) (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)) (/.f64 y (/.f64 x (/.f64 y x))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))))
(fma.f64 (neg.f64 (/.f64 y x)) #s(literal -1/2 binary64) x)
(fma.f64 (.f64 (/.f64 y (/.f64 x (/.f64 y x))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))) (neg.f64 (/.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))))
(fma.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (-.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (/.f64 x y) (/.f64 (/.f64 x (/.f64 y x)) y))) (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (.f64 x (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))))
(fma.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (-.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (.f64 x x))) (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (neg.f64 (/.f64 (.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 0 binary64) y) x)
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)) (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 x y)) (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))))) (+.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 x y) (/.f64 (/.f64 x (/.f64 y x)) y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))) (-.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal 1 binary64)))
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(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 y y) #s(literal -1/4 binary64)) x))) (/.f64 x (.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 y y) #s(literal -1/4 binary64)) x))))
(neg.f64 (/.f64 x (/.f64 (.f64 (.f64 y y) #s(literal -1/4 binary64)) x)))
(/.f64 x (/.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) x))
(/.f64 (.f64 x x) (.f64 y (*.f64 y #s(literal 1/4 binary64))))
(/.f64 (/.f64 (/.f64 x (/.f64 y x)) y) #s(literal 1/4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) #s(literal 1 binary64)))
(/.f64 (/.f64 x (/.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y (/.f64 x (/.f64 y x))) #s(literal -1/4 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (.f64 (.f64 y y) #s(literal -1/4 binary64)) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 y y) #s(literal -1/4 binary64)) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (*.f64 y y) #s(literal -1/4 binary64)))
(/.f64 (/.f64 x (/.f64 (.f64 (.f64 y y) #s(literal -1/4 binary64)) x)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) #s(literal -1/4 binary64))
(/.f64 (/.f64 x (.f64 y (.f64 y #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x (/.f64 y x)) (*.f64 y #s(literal 1/4 binary64)))
(/.f64 (.f64 x #s(literal 1 binary64)) (/.f64 (.f64 y (*.f64 y #s(literal 1/4 binary64))) x))
(/.f64 (neg.f64 (/.f64 x (.f64 y (.f64 y #s(literal 1/4 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 y y) #s(literal -1/4 binary64)) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (/.f64 y x)) y))) #s(literal 1/4 binary64))
(/.f64 (neg.f64 (/.f64 x (/.f64 y x))) (neg.f64 (*.f64 y #s(literal 1/4 binary64))))
(/.f64 (/.f64 x #s(literal 1/4 binary64)) (/.f64 (*.f64 y y) x))
(/.f64 (neg.f64 (/.f64 x #s(literal 1/4 binary64))) (neg.f64 (/.f64 (*.f64 y y) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))) (/.f64 (.f64 (.f64 y y) #s(literal -1/4 binary64)) x))
(/.f64 (neg.f64 (.f64 x #s(literal 1 binary64))) (/.f64 (.f64 (*.f64 y y) #s(literal -1/4 binary64)) x))
(pow.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) x)) #s(literal 1 binary64))
(pow.f64 (/.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 x (/.f64 x (.f64 y (*.f64 y #s(literal 1/4 binary64)))))
(.f64 x (/.f64 (/.f64 x (.f64 y (*.f64 y #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) (/.f64 (/.f64 x y) #s(literal 1/4 binary64)))
(.f64 (/.f64 x y) (pow.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 x (/.f64 y x)) y) #s(literal 4 binary64))
(.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (.f64 y (*.f64 y #s(literal 1/4 binary64))) x)))
(.f64 (/.f64 x (/.f64 (.f64 y (*.f64 y #s(literal 1/4 binary64))) x)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (.f64 (*.f64 y y) #s(literal -1/4 binary64)) x))) #s(literal -1 binary64)))
(.f64 #s(literal 2 binary64) (pow.f64 (.f64 (/.f64 y x) (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 (.f64 y (*.f64 y #s(literal 1/4 binary64))) x)))
(.f64 (/.f64 x #s(literal 1/2 binary64)) (pow.f64 (.f64 y (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)))
(.f64 (/.f64 x (.f64 y #s(literal 1/2 binary64))) (/.f64 x (*.f64 y #s(literal 1/2 binary64))))
(.f64 (/.f64 x (.f64 y (*.f64 y #s(literal 1/4 binary64)))) x)
(.f64 (/.f64 x (.f64 y (*.f64 y #s(literal 1/4 binary64)))) (/.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 x (.f64 y (*.f64 y #s(literal 1/4 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 x (/.f64 y x))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)))
(.f64 (/.f64 x (/.f64 y x)) (pow.f64 (.f64 y #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(*.f64 #s(literal 4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y))
(.f64 #s(literal -2 binary64) (pow.f64 (.f64 (/.f64 y x) (/.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)))
(.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (.f64 y (*.f64 y #s(literal 1/4 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y #s(literal 1/4 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (/.f64 x (.f64 (*.f64 y y) #s(literal -1/4 binary64))) (-.f64 #s(literal 0 binary64) x))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x (.f64 y (*.f64 y #s(literal 1/4 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (.f64 y (*.f64 y #s(literal 1/4 binary64))) x)))
(.f64 (pow.f64 (.f64 y #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 x (/.f64 y x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 x (/.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (/.f64 y x)) y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 x y)) #s(literal -1 binary64)) (/.f64 x y))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 x y))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 y x)) #s(literal -1 binary64)) #s(literal -2 binary64))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) y) #s(literal -1 binary64)) (/.f64 x #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 x y))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 x y)) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x y))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 x y)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(exp.f64 (.f64 (log.f64 (/.f64 x (.f64 y #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(/.f64 y (/.f64 x #s(literal 1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) y) (neg.f64 (/.f64 x #s(literal 1/2 binary64))))
(/.f64 (*.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) y)) x)
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) y)) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (*.f64 y #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 x #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) y))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 (/.f64 x #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 x #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 y #s(literal 1/2 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(pow.f64 (/.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 y x)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 y x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 (/.f64 y x)) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 0 binary64) y))
(exp.f64 (.f64 (log.f64 (/.f64 x (.f64 y (*.f64 y #s(literal 1/4 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (.f64 (.f64 y y) #s(literal -1/4 binary64)) x))
(neg.f64 (/.f64 (.f64 (.f64 y y) #s(literal -1/4 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 y (.f64 y #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (.f64 y (.f64 y #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (.f64 y (.f64 y #s(literal 1/4 binary64)))))))
(/.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (.f64 y (.f64 y #s(literal 1/4 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (.f64 y (.f64 y #s(literal 1/4 binary64)))) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 y y) #s(literal -1/4 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (.f64 (.f64 y y) #s(literal -1/4 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (.f64 (.f64 y (*.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 y y) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (.f64 (.f64 y (*.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 (.f64 y (.f64 y #s(literal 1/4 binary64))) x) #s(literal 1 binary64))
(pow.f64 (/.f64 x (.f64 y (.f64 y #s(literal 1/4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (.f64 y (.f64 y #s(literal 1/4 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1/4 binary64) (/.f64 (.f64 y y) x))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 y (*.f64 y #s(literal 1/4 binary64))) x))
(.f64 (.f64 y y) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 y y) (/.f64 #s(literal 1/4 binary64) x))
(.f64 (.f64 y (*.f64 y #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (*.f64 y y) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y (*.f64 y #s(literal 1/4 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal 1/4 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 y #s(literal 1/4 binary64)) (/.f64 y x))
(.f64 (/.f64 (.f64 y y) x) #s(literal 1/4 binary64))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 y (*.f64 y #s(literal 1/4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 y y) #s(literal -1/4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))

simplify790.0ms (8.1%)

Memory

-20.4MiB live, 651.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 416×	`accelerator-lowering-fma.f32`
11 416×	`accelerator-lowering-fma.f64`
5 198×	`-lowering-.f32`
5 198×	`-lowering-.f64`
1 956×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	184	3538
1	479	3524
2	1334	3402
3	5472	3394
0	8439	3298

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

Inputs
(* 1/2 (/ y x))
(/ (- (pow x 2) (* -1/2 y)) x)
(/ (- (pow x 2) (* -1/2 y)) x)
(/ (- (pow x 2) (* -1/2 y)) x)
x
(* x (+ 1 (* 1/2 (/ y (pow x 2)))))
(* x (+ 1 (* 1/2 (/ y (pow x 2)))))
(* x (+ 1 (* 1/2 (/ y (pow x 2)))))
x
(* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))
(* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))
(* -1 (* x (- (* -1/2 (/ y (pow x 2))) 1)))
x
(+ x (* 1/2 (/ y x)))
(+ x (* 1/2 (/ y x)))
(+ x (* 1/2 (/ y x)))
(* 1/2 (/ y x))
(* y (+ (* 1/2 (/ 1 x)) (/ x y)))
(* y (+ (* 1/2 (/ 1 x)) (/ x y)))
(* y (+ (* 1/2 (/ 1 x)) (/ x y)))
(* 1/2 (/ y x))
(* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))
(* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))
(* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
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(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
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(/ 1/2 x)
(/ 1/2 x)
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(/ 1/2 x)
(/ 1/2 x)
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(/ 1/2 x)
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(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ (pow y 2) (pow x 2))
(/ y (pow x 2))
(/ y (pow x 2))
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(/ y (pow x 2))
(/ y (pow x 2))
(* 1/2 (/ y x))
(/ (+ (* 1/2 y) (pow x 2)) x)
(/ (+ (* 1/2 y) (pow x 2)) x)
(/ (+ (* 1/2 y) (pow x 2)) x)
x
(* x (+ 1 (* 1/2 (/ y (pow x 2)))))
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(* -1 (* y (- (* -1 (/ x y)) (* 1/2 (/ 1 x)))))
(* 1/4 (/ (pow y 2) (pow x 2)))
(/ (+ (* -1 (pow x 4)) (* 1/4 (pow y 2))) (pow x 2))
(/ (+ (* -1 (pow x 4)) (* 1/4 (pow y 2))) (pow x 2))
(/ (+ (* -1 (pow x 4)) (* 1/4 (pow y 2))) (pow x 2))
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(- (* 1/4 (/ (pow y 2) (pow x 2))) (pow x 2))
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(/ (+ (* 1/2 y) (pow x 2)) x)
(/ (+ (* 1/2 y) (pow x 2)) x)
(/ (+ (* 1/2 y) (pow x 2)) x)
x
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(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
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(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
(* 1/2 (/ y x))
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(* 1/4 (/ (pow y 2) x))
(* 1/4 (/ (pow y 2) x))
(* 1/4 (/ (pow y 2) x))

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

eval520.0ms (5.3%)

Memory: 43.0MiB live, 531.2MiB allocated
Compiler: Compiled 53 219 to 2 934 computations (94.5% saved)

prune221.0ms (2.3%)

Memory

-28.0MiB live, 358.7MiB allocated

Pruning

34 alts after pruning (26 fresh and 8 done)

	Pruned	Kept	Total
New	1 971	17	1 988
Fresh	5	9	14
Picked	2	3	5
Done	0	5	5
Total	1 978	34	2 012

Accuracy

100.0%

Counts

2 012 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.5%	(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (.f64 y (.f64 y #s(literal 1/4 binary64))))) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
	3.8%	(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))
	2.7%	(/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
	36.5%	(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (/.f64 x (/.f64 y x)) (/.f64 #s(literal 1 binary64) y))) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
	36.5%	(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (/.f64 x y) (/.f64 x y))) (.f64 x x)) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)) x))
	36.5%	(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (/.f64 x y) (/.f64 x y))) (.f64 x x)) (-.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) x) x))
	35.6%	(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)))) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
	11.9%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y))) (.f64 x x))) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y))) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)))
	2.7%	(/.f64 (*.f64 (/.f64 (/.f64 y x) (/.f64 x y)) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
	15.9%	(/.f64 (.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (/.f64 x (/.f64 y x)) y))) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))) (+.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y))))
	2.7%	(/.f64 (.f64 (.f64 (/.f64 y x) (/.f64 y x)) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
	2.2%	(/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
✓	2.6%	(/.f64 (.f64 (.f64 y (/.f64 y (*.f64 x x))) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
	2.6%	(/.f64 (.f64 (.f64 y (/.f64 y (.f64 x x))) #s(literal 1/4 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) x))
	36.0%	(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 y (/.f64 y (.f64 x x))) #s(literal 1/4 binary64)) (.f64 x x)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
✓	3.8%	(/.f64 (*.f64 y #s(literal 1/2 binary64)) x)
	2.7%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y))))
	3.8%	(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
	2.5%	(/.f64 #s(literal -1 binary64) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) (/.f64 x (/.f64 (.f64 (*.f64 y y) #s(literal -1/4 binary64)) x))))
✓	68.1%	(-.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))
✓	66.7%	(+.f64 x (.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 y (*.f64 x x))))))
	2.7%	(*.f64 (/.f64 y (/.f64 x (/.f64 y x))) (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)))
✓	3.8%	(*.f64 (/.f64 #s(literal 1/2 binary64) x) y)
	21.5%	(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 y x) (.f64 y (/.f64 y (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (/.f64 y x) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))))))
	66.4%	(.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x)) (/.f64 (.f64 (.f64 y (/.f64 y (.f64 x x))) #s(literal 1/4 binary64)) (.f64 x x)))) x)))
	67.6%	(.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (/.f64 #s(literal -1/2 binary64) x) y)))))
	3.6%	(.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))) (*.f64 x (/.f64 #s(literal -2 binary64) y))))
	66.7%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y #s(literal -1/8 binary64)) (.f64 x x))) (/.f64 (.f64 x x) y))) x)
	2.8%	(*.f64 y (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 x (/.f64 y x))) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)))
	2.7%	(.f64 y (.f64 (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))))
	68.0%	(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 x x))))
✓	68.9%	(sqrt.f64 (+.f64 (*.f64 x x) y))
✓	34.9%	(sqrt.f64 y)
✓	67.3%	x

Compiler

Compiled 1 814 to 616 computations (66% saved)

regimes84.0ms (0.9%)

Memory

22.5MiB live, 175.3MiB allocated

Counts

52 → 2

Calls

Call 1

Inputs
x
(*.f64 (/.f64 #s(literal 1/2 binary64) x) y)
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)
(-.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))
(+.f64 x (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(literal 1/2 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 x x))))
(+.f64 x (.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 y (*.f64 x x))))))
(.f64 y (.f64 (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))))
(*.f64 y (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 x (/.f64 y x))) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)))
(*.f64 (/.f64 y (/.f64 x (/.f64 y x))) (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)))
(/.f64 (.f64 (.f64 y (/.f64 y (.f64 x x))) #s(literal 1/4 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) x))
(/.f64 (.f64 (.f64 y (/.f64 y (*.f64 x x))) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(/.f64 (.f64 (.f64 (/.f64 y x) (/.f64 y x)) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(/.f64 (*.f64 (/.f64 (/.f64 y x) (/.f64 x y)) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (/.f64 y (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y #s(literal -1/8 binary64)) (*.f64 x x))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y #s(literal -1/8 binary64)) (.f64 x x))) (/.f64 (.f64 x x) y))) x)
(/.f64 #s(literal -1 binary64) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) (/.f64 x (/.f64 (.f64 (*.f64 y y) #s(literal -1/4 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y))))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (.f64 y (.f64 y #s(literal 1/4 binary64))))) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))) (*.f64 x (/.f64 #s(literal -2 binary64) y))))
(/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y (/.f64 y (.f64 x x))) #s(literal -1/4 binary64))) (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 y #s(literal 1/4 binary64)) x) (/.f64 y x)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (/.f64 x y) (/.f64 x y))) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (/.f64 x y) (/.f64 x y))) (.f64 x x)) (-.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) x) x))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x x)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) x))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(/.f64 (-.f64 (/.f64 (.f64 (/.f64 #s(literal 1/4 binary64) x) (.f64 y y)) x) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x x)))
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 y y)) (.f64 (.f64 x x) (+.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 x x)))) (.f64 x (.f64 x x)))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)))) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (/.f64 x y) (/.f64 x y))) (.f64 x x)) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (/.f64 x (/.f64 y x)) (/.f64 #s(literal 1 binary64) y))) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) x))) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (/.f64 #s(literal -1/2 binary64) x) y)))))
(.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
(.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 y (/.f64 y (.f64 x x))) #s(literal 1/4 binary64)) (.f64 x x)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 y x) (.f64 y (/.f64 y (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (/.f64 y x) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))))))
(.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x)) (/.f64 (.f64 (.f64 y (/.f64 y (.f64 x x))) #s(literal 1/4 binary64)) (.f64 x x)))) x)))
(.f64 (+.f64 (.f64 x x) (.f64 (/.f64 y x) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)))) (.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (/.f64 y x) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)))))))
(/.f64 (+.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) (.f64 y (.f64 y #s(literal -1/8 binary64))))) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) (.f64 x (*.f64 x x))))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (/.f64 x (/.f64 y x)) y))) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))) (+.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y))) (.f64 x x))) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y))) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 y x) (.f64 y (/.f64 y (.f64 x x)))))) (.f64 x x)) (.f64 (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))))) (/.f64 (.f64 y #s(literal -1/8 binary64)) (/.f64 x y)))) (.f64 (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))))) (.f64 x x)))
(sqrt.f64 y)
(sqrt.f64 (+.f64 (*.f64 x x) y))

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

Calls

5 calls:

18.0ms	x
15.0ms	(sqrt.f64 (+.f64 (*.f64 x x) y))
15.0ms	(+.f64 (*.f64 x x) y)
15.0ms	y
13.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
100.0%	2	`x`
87.6%	2	`y`
100.0%	2	`(sqrt.f64 (+.f64 (*.f64 x x) y))`
100.0%	2	`(+.f64 (*.f64 x x) y)`
100.0%	2	`(*.f64 x x)`

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes23.0ms (0.2%)

Memory

-21.2MiB live, 57.1MiB allocated

Counts

51 → 2

Calls

Call 1

Inputs
x
(*.f64 (/.f64 #s(literal 1/2 binary64) x) y)
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)
(-.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))
(+.f64 x (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(literal 1/2 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 x x))))
(+.f64 x (.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 y (*.f64 x x))))))
(.f64 y (.f64 (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))))
(*.f64 y (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 x (/.f64 y x))) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)))
(*.f64 (/.f64 y (/.f64 x (/.f64 y x))) (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)))
(/.f64 (.f64 (.f64 y (/.f64 y (.f64 x x))) #s(literal 1/4 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) x))
(/.f64 (.f64 (.f64 y (/.f64 y (*.f64 x x))) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(/.f64 (.f64 (.f64 (/.f64 y x) (/.f64 y x)) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(/.f64 (*.f64 (/.f64 (/.f64 y x) (/.f64 x y)) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (/.f64 y (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y #s(literal -1/8 binary64)) (*.f64 x x))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y #s(literal -1/8 binary64)) (.f64 x x))) (/.f64 (.f64 x x) y))) x)
(/.f64 #s(literal -1 binary64) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) (/.f64 x (/.f64 (.f64 (*.f64 y y) #s(literal -1/4 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y))))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (.f64 y (.f64 y #s(literal 1/4 binary64))))) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))) (*.f64 x (/.f64 #s(literal -2 binary64) y))))
(/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y (/.f64 y (.f64 x x))) #s(literal -1/4 binary64))) (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 y #s(literal 1/4 binary64)) x) (/.f64 y x)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (/.f64 x y) (/.f64 x y))) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (/.f64 x y) (/.f64 x y))) (.f64 x x)) (-.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) x) x))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x x)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) x))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(/.f64 (-.f64 (/.f64 (.f64 (/.f64 #s(literal 1/4 binary64) x) (.f64 y y)) x) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x x)))
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 y y)) (.f64 (.f64 x x) (+.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 x x)))) (.f64 x (.f64 x x)))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)))) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (/.f64 x y) (/.f64 x y))) (.f64 x x)) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (/.f64 x (/.f64 y x)) (/.f64 #s(literal 1 binary64) y))) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) x))) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (/.f64 #s(literal -1/2 binary64) x) y)))))
(.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
(.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 y (/.f64 y (.f64 x x))) #s(literal 1/4 binary64)) (.f64 x x)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 y x) (.f64 y (/.f64 y (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (/.f64 y x) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))))))
(.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x)) (/.f64 (.f64 (.f64 y (/.f64 y (.f64 x x))) #s(literal 1/4 binary64)) (.f64 x x)))) x)))
(.f64 (+.f64 (.f64 x x) (.f64 (/.f64 y x) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)))) (.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (/.f64 y x) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)))))))
(/.f64 (+.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) (.f64 y (.f64 y #s(literal -1/8 binary64))))) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) (.f64 x (*.f64 x x))))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (/.f64 x (/.f64 y x)) y))) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))) (+.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y))) (.f64 x x))) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y))) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 y x) (.f64 y (/.f64 y (.f64 x x)))))) (.f64 x x)) (.f64 (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))))) (/.f64 (.f64 y #s(literal -1/8 binary64)) (/.f64 x y)))) (.f64 (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))))) (.f64 x x)))
(sqrt.f64 y)

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
90.0%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes36.0ms (0.4%)

Memory

-19.0MiB live, 75.7MiB allocated

Counts

50 → 1

Calls

Call 1

Inputs
x
(*.f64 (/.f64 #s(literal 1/2 binary64) x) y)
(/.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)
(-.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))
(+.f64 x (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(literal 1/2 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) y) (*.f64 x x))))
(+.f64 x (.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 y (*.f64 x x))))))
(.f64 y (.f64 (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))))
(*.f64 y (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 x (/.f64 y x))) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)))
(*.f64 (/.f64 y (/.f64 x (/.f64 y x))) (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)))
(/.f64 (.f64 (.f64 y (/.f64 y (.f64 x x))) #s(literal 1/4 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) y) x))
(/.f64 (.f64 (.f64 y (/.f64 y (*.f64 x x))) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(/.f64 (.f64 (.f64 (/.f64 y x) (/.f64 y x)) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(/.f64 (*.f64 (/.f64 (/.f64 y x) (/.f64 x y)) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (/.f64 y (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y #s(literal -1/8 binary64)) (*.f64 x x))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y #s(literal -1/8 binary64)) (.f64 x x))) (/.f64 (.f64 x x) y))) x)
(/.f64 #s(literal -1 binary64) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) (/.f64 x (/.f64 (.f64 (*.f64 y y) #s(literal -1/4 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y))))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (.f64 y (.f64 y #s(literal 1/4 binary64))))) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))) (*.f64 x (/.f64 #s(literal -2 binary64) y))))
(/.f64 (+.f64 (.f64 x x) (.f64 (.f64 y (/.f64 y (.f64 x x))) #s(literal -1/4 binary64))) (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 y #s(literal 1/4 binary64)) x) (/.f64 y x)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (/.f64 x y) (/.f64 x y))) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (/.f64 x y) (/.f64 x y))) (.f64 x x)) (-.f64 (/.f64 (*.f64 y #s(literal 1/2 binary64)) x) x))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x x)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) y) x))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(/.f64 (-.f64 (/.f64 (.f64 (/.f64 #s(literal 1/4 binary64) x) (.f64 y y)) x) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x x)))
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 y y)) (.f64 (.f64 x x) (+.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 x x)))) (.f64 x (.f64 x x)))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)))) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (/.f64 x y) (/.f64 x y))) (.f64 x x)) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y)) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 (/.f64 x (/.f64 y x)) (/.f64 #s(literal 1 binary64) y))) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) x))) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (/.f64 #s(literal -1/2 binary64) x) y)))))
(.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
(.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 y (/.f64 y (.f64 x x))) #s(literal 1/4 binary64)) (.f64 x x)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))
(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 y x) (.f64 y (/.f64 y (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (/.f64 y x) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))))))
(.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (.f64 (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 x x)) (/.f64 (.f64 (.f64 y (/.f64 y (.f64 x x))) #s(literal 1/4 binary64)) (.f64 x x)))) x)))
(.f64 (+.f64 (.f64 x x) (.f64 (/.f64 y x) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)))) (.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 (/.f64 y x) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)))))))
(/.f64 (+.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) (.f64 y (.f64 y #s(literal -1/8 binary64))))) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) (.f64 x (*.f64 x x))))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (/.f64 x (/.f64 y x)) y) (/.f64 (/.f64 x (/.f64 y x)) y))) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x))) (+.f64 (.f64 x x) (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y))) (.f64 x x))) (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x) (/.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 x (/.f64 y x)) y))) (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x y)) x)))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 y x) (.f64 y (/.f64 y (.f64 x x)))))) (.f64 x x)) (.f64 (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))))) (/.f64 (.f64 y #s(literal -1/8 binary64)) (/.f64 x y)))) (.f64 (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 y y)) (.f64 x x)) (.f64 x (+.f64 x (/.f64 #s(literal -1/2 binary64) (/.f64 x y))))) (.f64 x x)))

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

Calls

2 calls:

14.0ms	x
13.0ms	y

Results

Accuracy	Segments	Branch
68.1%	1	`y`
68.1%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Memory

12.2MiB live, 12.1MiB allocated

Accuracy

Total -40.7b remaining (-194.9%)

Threshold costs -40.7b (-194.9%)

Counts

4 → 1

Calls

Call 1

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

Outputs
x

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
67.3%	1	`x`
67.3%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.7696634983304297e+257	2.8852780477899712e+262

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch11.0ms (0.1%)

Memory

-6.4MiB live, 32.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	102778451330402320.0	1867915908547690800.0

Samples

5.0ms	112×	0	valid
1.0ms	17×	0	invalid

Compiler

Compiled 116 to 87 computations (25% saved)

Precisions

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

ival-add: 1.0ms (39.5% of total)

ival-mult: 1.0ms (39.5% of total)

ival-sqrt: 1.0ms (39.5% of total)

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

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

simplify8.0ms (0.1%)

Memory

-6.0MiB live, 33.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	34
1	19	34

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 x x) #s(literal 200000000000000006025531980028108500578097307954939025766421595980654826675529246564222471253829152713648768603434556563593386827337275468937699900399114399725573291234884276005207941131245911204484318605390207565762827048057062398328588249283527946922885120 binary64)) (sqrt.f64 (+.f64 (.f64 x x) y)) x)
(if (<=.f64 x #s(literal 142000000000000000 binary64)) (sqrt.f64 y) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
x

Outputs
(if (<=.f64 (.f64 x x) #s(literal 200000000000000006025531980028108500578097307954939025766421595980654826675529246564222471253829152713648768603434556563593386827337275468937699900399114399725573291234884276005207941131245911204484318605390207565762827048057062398328588249283527946922885120 binary64)) (sqrt.f64 (+.f64 (.f64 x x) y)) x)
(if (<=.f64 x #s(literal 142000000000000000 binary64)) (sqrt.f64 y) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
x

soundness385.0ms (3.9%)

Memory

17.1MiB live, 206.6MiB allocated

Rules

23 502×	`accelerator-lowering-fma.f32`
23 502×	`accelerator-lowering-fma.f64`
5 416×	`-lowering-.f32`
5 416×	`-lowering-.f64`
2 450×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	635
1	383	620
2	1205	612
3	4048	567
0	8293	515

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 64 to 35 computations (45.3% saved)

preprocess74.0ms (0.8%)

Memory: 24.8MiB live, 177.4MiB allocated
Compiler: Compiled 180 to 90 computations (50% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	17	38
1	35	38
2	70	38
3	125	38
4	189	38
5	252	38
6	314	38
7	326	38
8	332	38
0	5	6
1	6	6
0	6	5

Iter	Nodes	Cost
0	17	38
1	35	38
2	70	38
3	125	38
4	189	38
5	252	38
6	314	38
7	326	38
8	332	38
0	5	6
1	6	6
0	6	5

analyze17.0ms (0.2%)

sample1.1s (11.1%)

preprocess56.0ms (0.6%)

explain131.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify29.0ms (0.3%)

localize40.0ms (0.4%)

series5.0ms (0%)

rewrite488.0ms (5%)

simplify528.0ms (5.4%)

eval34.0ms (0.3%)

prune34.0ms (0.3%)

simplify11.0ms (0.1%)

localize46.0ms (0.5%)

series17.0ms (0.2%)

rewrite885.0ms (9%)

simplify806.0ms (8.2%)

eval188.0ms (1.9%)

prune118.0ms (1.2%)

simplify346.0ms (3.5%)

localize107.0ms (1.1%)

series28.0ms (0.3%)

rewrite436.0ms (4.4%)

simplify742.0ms (7.6%)

eval442.0ms (4.5%)

prune170.0ms (1.7%)

simplify223.0ms (2.3%)

localize110.0ms (1.1%)

series17.0ms (0.2%)

rewrite504.0ms (5.1%)

simplify790.0ms (8.1%)

eval520.0ms (5.3%)

prune221.0ms (2.3%)

regimes84.0ms (0.9%)

regimes23.0ms (0.2%)

regimes36.0ms (0.4%)

regimes4.0ms (0%)

bsearch1.0ms (0%)

bsearch11.0ms (0.1%)

simplify8.0ms (0.1%)

soundness385.0ms (3.9%)

preprocess74.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	17	38
1	35	38
2	70	38
3	125	38
4	189	38
5	252	38
6	314	38
7	326	38
8	332	38
0	5	6
1	6	6
0	6	5